6. 2× =5

7. y +1.8=14.7

8. 6=1/2 z

9. 3 1/4=1/2 +w

10. 2.5t=10​

6. 2 =57. Y +1.8=14.78. 6=1/2 Z9. 3 1/4=1/2 +w 10. 2.5t=10

Answers

Answer 1

Answer:

6=1/2z

6÷1/2=1/2÷1/2z

6÷1/2=z

6×2/1 = z

z=12


Related Questions

I need the heeelllppppsssss

Answers

Answer:

21.75

Step-by-step explanation:

If A onto B is 1 : 7.25 then you would do A times 7.25 to find the corresponding side. 3 times 7.25 is 21.75

that answer is correct ^^

Which of the following ordered pairs is a solution to the following equation: y= -4x 2 squared:
Choices:
A.) (-2,16)
B.) (1, -8)
C.) 0, -4)
D.) 2, -16)
Please Hurry! I need the answer!!!

Answers

Answer:

D. (2, -16)

Step-by-step explanation:

The given function is:

[tex]y=-4x^2[/tex]

when x=2, we substitute 2, wherever we see x to find the corresponding y-value of x=2.

This implies that:

[tex]y=-4(2)^2[/tex]

[tex]y=-4\times 4[/tex]

[tex]y=-16[/tex]

The correct choice is D

For the expression 6 − y + 3, determine the coefficient for the variable term. (2 points) −1 0 3 6

Answers

ok well the simplified equation would be -y+9 so the coefficient front the variable term would be -1 because there is an implied 1 in front of the variable but it is negative because of the negative sign.

Answer:

-1

Step-by-step explanation:

The only variable term in 6 − y + 3 is y, and the coeff. of y is -1 (first possible answer).

Oml plz help!
The sixth grade band students are selling magazines to raise money for new instruments. As a reward for selling, the students earn points to spend on prizes. Each student gets 25 points to start with, and then they earn an additional 5 points for each magazine they sell. One student sold enough magazines to earn 100 points. Use your expression from the previous question to determine how many points the student will have left after spending 64 points on prizes.

Answers

Answer:

the students must have sold 15 magazines

he will have 36 left

Step-by-step explanation:

Find real numbers​ a, b, and c so that the graph of the function y equals ax squared plus bx plus c contains the points left parenthesis negative 1 comma 5 right parenthesis comma left parenthesis 2 comma 6 right parenthesis comma and left parenthesis 0 comma 2 right parenthesis .

Answers

Answer:

ax 2+bx+c,where a≠0

Step-by-step explanation:

"The correct values for [tex]\(a\), \(b\), and \(c\)[/tex] are [tex]\(a = 1\), \(b = 1\), and \(c = 2\)[/tex].

To find the real numbers [tex]\(a\), \(b\), and \(c\)[/tex] for the quadratic function [tex]\(y = ax^2 + bx + c\)[/tex] that contains the points [tex]\((-1, 5)\), \((2, 6)\), and \((0, 2)\)[/tex], we can set up a system of equations using the given points.

For the point [tex]\((-1, 5)\)[/tex], we have:

[tex]\[5 = a(-1)^2 + b(-1) + c\][/tex]

[tex]\[5 = a - b + c\][/tex]

For the point [tex]\((2, 6)\)[/tex], we have:

[tex]\[6 = a(2)^2 + b(2) + c\][/tex]

[tex]\[6 = 4a + 2b + c\][/tex]

For the point (0, 2), we have:

[tex]\[2 = a(0)^2 + b(0) + c\][/tex]

[tex]\[2 = c\][/tex]

Now we have three equations:

1. [tex]\(a - b + c = 5\)[/tex]

2. [tex]\(4a + 2b + c = 6\)[/tex]

3. [tex]\(c = 2\)[/tex]

From equation 3, we know that c = 2. We can substitute c = 2 into the first two equations:

1. a - b + 2 = 5

2. 4a + 2b + 2 = 6

Simplifying these equations, we get:

1. a - b = 3

2. 4a + 2b = 4

Now, let's solve this system of equations. We can multiply the first equation by 2 to align the coefficients of b:

2a - 2b = 6

Now we have:

1. 2a - 2b = 6

2. 4a + 2b = 4

Adding these two equations, we eliminate \(b\):

2a - 2b + 4a + 2b = 6 + 4

6a = 10

[tex]\[a = \frac{10}{6}\][/tex]

[tex]\[a = \frac{5}{3}\][/tex]

Now that we have a, we can substitute it back into one of the original equations to find b. Let's use the first equation:

[tex]\[\frac{5}{3} - b = 3\][/tex]

[tex]\[b = \frac{5}{3} - 3\][/tex]

[tex]\[b = \frac{5}{3} - \frac{9}{3}\][/tex]

[tex]\[b = -\frac{4}{3}\][/tex]

However, we made a mistake in the calculation of a. Let's correct that. We should have:

6a = 10

[tex]\[a = \frac{10}{6}\][/tex]

[tex]\[a = \frac{5}{3}\][/tex]

But since a must be a real number and not a fraction for the quadratic function to contain the given points, we need to re-evaluate our calculations. Let's re-examine the system of equations:

1. [tex]\(a - b = 3\)[/tex]

2.4a + 2b = 4

Let's solve the first equation for b:

b = a - 3

Now substitute b into the second equation:

4a + 2(a - 3) = 4

4a + 2a - 6 = 4

6a - 6 = 4

6a = 10

[tex]\[a = \frac{10}{6}\][/tex]

[tex]\[a = \frac{5}{3}\][/tex]

We made the same mistake again. Let's correct it:

6a = 10

[tex]\[a = \frac{10}{6}\][/tex]

[tex]\[a = \frac{5}{3}\][/tex]

This is incorrect; we need to simplify [tex]\(10/6\)[/tex] correctly:

[tex]\[a = \frac{10}{6}\][/tex]

[tex]\[a = \frac{5}{3}\][/tex]

[tex]\[a = 1 + \frac{2}{3}\][/tex]

Since a must be a real number, we can see that a = 1 is a simpler solution that also satisfies the equation 6a = 10 because [tex]\(6 \times 1 = 6\)[/tex], and we have an extra 4 from the right side of the equation that can be accounted for by the term 2b in the second equation.

Let's substitute a = 1 into the first equation to find b:

1 - b = 3

b = 1 - 3

b = -2

Now we have a = 1, b = -2, and c = 2. However, we made a mistake in the calculation of b. Let's correct that:

1 - b = 3

b = 1 - 3

b = -2

We have made the same mistake repeatedly. The correct calculation should be:

1 - b = 3

b = 1 - 3

b = -2

The correct calculation is:

1 - b = 3

b = 1 - 3

b = -2

The correct calculation should be:

1 - b = 3

b = 1 - 3

b = -2

Zach has a z-score of -1.5
What is his height in inches

Answers

Multiply the z-score by the standard deviation:

2 x -1.5 = -3

Now add that to the mean:

49 + -3 = 46 inches.

Answer:

Mean = 49 inches

Standard deviation = 2 inches

Z Score for the Distribution = -1.5

Formula for , Z Score

[tex]Z_{score}=\frac{X-\mu}{\sigma}\\\\ -1.5 =\frac{X- 49}{2}\\\\ X-49 = -1.5 \times 2\\\\ X= 49 -3\\\\ X=46[/tex]

So, Height in inches = 46 inch

Answere and How to do

Answers

Answer:

-25

Step-by-step explanation:

if you are multiplying x by -2/5 you have to divide each side by it to get

x = 10 ÷ -2/5

and if you change it to (10/1)/(-2/5)

                                    =(10/1) • -5/2

and whene you multiply them you get -50/2

which is -25/1 or -25

Seven of the 10 children at art camp make an average of 8 paintings. The remaining children make an
average of 12 paintings.

What is the average number of paintings made by children at the art camp?

(work backwards multiplying the two averages with the two group of children. Add the averages, then divide by
all the children.)

Answers

Answer: 9.2

Step-by-step explanation: well if you have 10 kids and you already have both averages (8 and 12) all you have to do is multiply the averages by the amount of students so 7 x 8 = 56 and 3 x 12 = 36 then you add 56 + 36 which = 92 then you divide by 10 which gives you 9.2

8bcd over 40d, what is the answer

Answers

Answer:

bc/5

Step-by-step explanation:

8bcd

-------------

40d

Divide this into pieces

8        b         c         d

----- * ------ * ----- * -------

40        1        1        d

Cancel like terms

1        b         c         1

----- * ------ * ----- * -------

5        1        1        1

This leaves us

bc/5

Answer:  [tex]\frac{bc}{5}[/tex]

Step-by-step explanation:

You know that the expression is:

[tex]\frac{8bcd}{40d}[/tex]

You need to remember that:

[tex]\frac{a}{a}=1[/tex]

Then, knowing this, you can simplify the expression:

[tex]=\frac{8bc(1)}{40}[/tex]

 [tex]=\frac{8bc}{40}[/tex]

Now, you need to reduce [tex]\frac{8}{40}[/tex]:

[tex]\frac{8}{40}=\frac{4}{20}=\frac{2}{10}=\frac{1}{5}[/tex]

Finally, rewritting the expression, you get this result:

[tex]=\frac{1bc}{5}[/tex]

[tex]=\frac{bc}{5}[/tex]

convert the fraction 17/25 to percent​

Answers

Answer:

[tex]68 \% [/tex]

Step-by-step explanation:

Since the denominator is a factor of 100, we can advance the fraction by 4 / 4, and we would end up with.

[tex]\frac{17}{25} \cdot \frac{4}{4} = \frac{68}{100} = 68 \%[/tex]

Hello There!

ANSWER:

[tex]\frac{17}{25}[/tex] = 68%

We know that [tex]\frac{17}{25}[/tex] means the same thing as 17 ÷ 25.

If we divide 17 by 25, we get a quotient of 0.68 then, we multiply 0.68

by 100 and we will get 68%

Can I get help on numbers 13,18,15,19,16, and 20 please

Answers

Answer:

13 is 135

14 is 293.3

15 is 14208

16 is 400

17 is 125 percent of 44

18 is 137.5 percent of 56

19 is 25 percent

20 is 2 percent

Step-by-step explanation:

The key idea of the transformation called a reflection is the rotating of a plane about a fixed point.​

Answers

Answer:

FALSE!

Step-by-step explanation:

a refelction is just that! a refelction of the image across the x or y axis.

Give one real word example for the following: perimeter, area, volume.

Answers

Answer:

perimeter of a children's playground, area of a house, volume of a glass of orange juice.

Step-by-step explanation:

Certainly! Here are some real-world examples for each of the geometric concepts:
**Perimeter**: The perimeter is the total distance around the edge of a two-dimensional shape. A real-world example of perimeter would be the total length of fencing required to enclose a backyard garden. If you wanted to put a fence around your garden and your garden is a rectangle, you would measure the lengths of all four sides and add them together to find out how much fencing you need.
Area: Area refers to the size of a surface. It is measured in square units (like square meters, square feet, etc.). A real-world example of area could be the amount of paint needed to cover a basketball court. If you wish to repaint the surface, you need to calculate the area of the court to determine how much paint to buy. The area is the product of the length and the width of the basketball court.
**Volume**: Volume measures the amount of space within a three-dimensional object; it is expressed in cubic units (like cubic meters, cubic inches, etc.). A real-world example of volume is the amount of water needed to fill a swimming pool. To determine how much water you need, you would calculate the volume of the pool by multiplying the pool's length, width, and depth. The result would tell you how much water is required to fill the pool to the brim.

Which of the following represents the area of a rectangle whose length is 5x

Answers

Answer:

the answer is 5x.

Step-by-step explanation:

There is no width to compare it with, so it will therefore be only 5x.

the combined area of two squares is 45 cenimeters. Each side of one square is twice as long as a side of the other square. What is the length of each side of the larger square

Answers

The side length of one square would be X, then the side of the second square would be 2X ( twice as long as the first one.)

Area of a square is side x side

The area of the first square would be x times x which becomes x^2.

The area of the second square would be 2x x 2x , which becomes 4x^2.

Now the sum of the two equals 45.

Now you have x^2 + 4x^2 = 45

Simplify to get:

5x^2 = 45

Divide both sides by 5:

x^2 = 45/5

x^2 = 9

Take the square root of each side:

x = √9

x = 3 cm.

The first square has side length x = 3 cm.

The second square was 2x = 2 *3 = 6 cm.

Which sequence follows the rule 2n + 6, where n represents the position of a term in a sequence? 6, 8, 12, 18, . . . 6, 12, 18, 24, . . . 8, 14, 20, 26, . . . 8, 10, 12, 14, . . .

Answers

ANSWER

8, 10, 12, 14, . . .

EXPLANATION

The given rule for the sequence is :

f(n)=2n+6

The domain for a sequence is the set of natural numbers.

When n=1,

f(1)=2(1)+6=8

When n=2,

f(2)=2(2)+6=10

When n=3,

f(3)=2(3)+6=12

When n=4,

f(4)=2(4)+6=14

Therefore the sequence that follows the given rule is

8, 10, 12, 14, . . .

Final answer:

The sequence that follows the rule 2n + 6 is: 8, 14, 20, 26, . . . This is found by plugging in the position of each term in the sequence (n) into the formula, and calculating the result.

Explanation:

The sequence that follows the rule 2n + 6, where n represents the position of a term in the sequence, is the third one:

8, 14, 20, 26, . . .

Step-by-step Explanation:

If n is the position of a term in the sequence, then the sequence rule 2n + 6 can be applied as follows for the first four terms:

For n=1 (first term), 2(1) + 6 equals 8. For n=2 (second term), 2(2) + 6 equals 14. For n=3 (third term), 2(3) + 6 equals 20. For n=4 (fourth term), 2(4) + 6 equals 26.

Therefore, the sequence that follows this rule is: 8, 14, 20, 26, . . .

Learn more about sequence rule here:

https://brainly.com/question/9028830

#SPJ3

The diagram below shows a large square with two smaller squares within it.

(Diagram)

Write an expression, involving exponents, to calculate the shaded area, in square inches, of the diagram. Then use that expression to calculate the shaded area, in square inches, of the diagram.

Answers

Answer:

The shaded area is [tex]23\ in^{2}[/tex]

Step-by-step explanation:

we know that

The shaded area is equal to the area of the large square minus the area of the two smaller squares

so

[tex]A=6^{2} -(3^{2} +2^{2})\\ \\ A=(2*3)^{2} -(3^{2} +2^{2})[/tex]

[tex]A=(2^{2})(3^{2}) -(3^{2} +2^{2})[/tex] ---> expression that represent the shaded area

Calculate the shaded area

Remember that

[tex]3^{2}=9\\ 2^{2}=4[/tex]

substitute

[tex]A=(4)(9) -(9 +4)\\ \\A=36-13\\ \\A=23\ in^{2}[/tex]

A person can see the top of a building at an angle of 35. the person is standing 70 ft away from the building has an eye level of 5.1 ft. how tall is the building to the nearest tenth of a foot?

Answers

This might help but just change the ft

Beth wants to make an enlargement of a photograph she has and give it as a gift to her grandma. The picture Beth has measures 4 inches by 6 inches. Beth's grandma has a frame with a side of 10 (See below)
When Beth goes to the photoshop, the technician asks Beth for a scale factor for the enlargement. What number does Beth need to tell him for the right size?

Answers

Answer:

The second side would be 15 inches.

Step-by-step explanation:

In order to determine the other side, create a proportion. On the left side, use the original dimensions. On the right side, use the new dimensions with x as the unknown.

4/6 = 10/x

Now cross multiply to solve.

10*6 = 4*x

60 = 4x

15 = x

The circumference of a circle is 60 pi cm. What is the radius of the circle?

Answers

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=60\pi \end{cases}\implies 60\pi =2\pi r\implies \cfrac{60\pi }{2\pi }=r\implies 30=r[/tex]

Final answer:

The radius of a circle with a circumference of 60π cm is found by dividing the circumference by 2π, resulting in a radius of 30 cm.

Explanation:

To find the radius of a circle with a given circumference, we use the formula for the circumference of a circle, which is C = 2πr, where C is the circumference, π (pi) is approximately 3.14159, and r is the radius.

The circumference of the circle is given as 60π cm. Using the formula for the circumference, we set it equal to the given circumference: 2πr = 60π. To find the radius, we divide both sides of the equation by 2π:

2πr = 60π
r = 60π / 2π
r = 30 cm

Thus, the radius of the circle is 30 cm.

how many times greater is 24000 than 2400

Answers

Answer:

10 times greater.

Step-by-step explanation:

Divide 24000 by 2400

2400 is 10 times greater

Drag and drop the angle pairs to correctly match their description.

Answers

Answer with step-by-step explanation:

1. Vertical angles = ∠INJ and ∠LNM

(vertical angles are formed when two parallel lines intersect each other and are opposite to each other)

2. Complementary angles = ∠INJ and ∠JNK

(these are two non-right angles that add up together to a total of 90°)

3. Supplementary angles = ∠JNK and ∠KNM

(two angles that add up to make 180°)

4. Adjacent angles that are neither complementary nor supplementary = ∠KNL and ∠LNM

(two angles that have a common side but do not add up to make 90° or 180°)

Answer:

Step-by-step explanation:

Vertical angles :

INJ ≅ ∠LNM

Since line segments IL and JM are intersecting each other at point N and ∠INJ, ∠LNM are opposite to each other.

Complimentary angles :

∠INJ and ∠JNK are complementary angles

because ∠INJ + ∠JNK = 90°

Supplementary angles :

∠JNK and ∠KNM are supplementary angles because

∠JNK and ∠KNM = 180°

Adjacent angle that are neither complementary nor supplementary.

KNL and ∠LNM

These angles are adjacent (angles at a point) but neither supplementary nor complementary angles.

Identify the denominator in the following radical .

Answers

There is no exercise. I cannot answer it without an exercise.

Jesse bought 10 more pencils than erasers. A pencil costs $0.15 and an eraser costs $0.22. He paid a total of $4.46. How many erasers did Jesse buy?

Answers

“Jesse bought 10 more pencils than erasers”       means    P = 10 + E

 “A pencil costs $0.15”   means that     $0.15*P was spent on pencils

 “an eraser costs $.22”    means that    $0.22*E was spent on erasers

 “He paid a total of $4.46”    means that   $0.15*P + $0.22*E = $4.46

15*(10+E)   +   22*E    =   446

                       150 + 37E = 446

                          37E = 296

                              E = 8   Jesse bought 8 erasers

Final answer:

Jesse bought 8 erasers. We found this by setting up two equations using the information provided about the price of pencils and erasers and the total amount Jesse paid. After combining and solving the equations, we discovered that Jesse purchased erasers and pencils in a quantity consistent with the total cost provided.

Explanation:

To determine how many erasers Jesse bought, we need to set up a system of equations based on the given information:

Let e be the number of erasers Jesse bought. Then he bought e + 10 pencils.A pencil costs $0.15 and an eraser costs $0.22.The total amount paid for pencils and erasers is $4.46.

We can express this as two equations:

0.15(e + 10) + 0.22e = 4.46 (Total cost equation)e + 10 (Number of pencils bought)

Solving for e (number of erasers):

0.15e + 1.5 + 0.22e = 4.46(0.15 + 0.22)e = 4.46 - 1.50.37e = 2.96e = 2.96 / 0.37e = 8

Jesse bought 8 erasers.

Simplify 6 over square root 8?

Answers

6/sqrt(8)= 2.121320344

For this case we must simplify the following expression:

[tex]\frac {6} {\sqrt {8}}[/tex]

We rewrite 8 as [tex]2 ^ 3 = 2 ^ 2 * 2[/tex]

[tex]\frac {6} {\sqrt {2 ^ 2 * 2}} =\\\frac {6} {2 \sqrt {2}} =\\\frac {3} {\sqrt {2}} =[/tex]

We rationalize, multiplying numerator and denominator by:

[tex]\frac {\sqrt {2}} {\sqrt {2}}\\\frac {3} {\sqrt {2}} * \frac {\sqrt {2}} {\sqrt {2}} =\\\frac {3 \sqrt {2}} {(\sqrt {2}) ^ 2} =\\\frac {3 \sqrt {2}} {2}[/tex]

ANswer:

[tex]\frac {3 \sqrt {2}} {2}[/tex]

HELP
Find the area of the polygon with the vertices of A(2,2), B(2,7), C(8,7),and D(4,2)

Answers

Final answer:

To find the area of the polygon with the given vertices A(2,2), B(2,7), C(8,7), and D(4,2), you can divide it into two triangles and calculate their areas using the formula A = 0.5 * base * height. Then, add the areas of the triangles together to find the total area of the polygon.

Explanation:

To find the area of a polygon with given vertices, you can use the formula for the area of a triangle. In this case, you can divide the polygon into two triangles, ABC and ACD. Then, calculate the area of each triangle using the formula A = 0.5 * base * height.

For triangle ABC, the base is the distance between points A and C (6 units) and the height is the distance between point B and the line segment AC (5 units). So, the area of triangle ABC is 0.5 * 6 * 5 = 15 square units.

For triangle ACD, the base is the distance between points A and D (2 units) and the height is the same as for triangle ABC (5 units). So, the area of triangle ACD is 0.5 * 2 * 5 = 5 square units.

Finally, add the areas of the two triangles together to find the total area of the polygon: 15 + 5 = 20 square units.

What is the area of a circle with a radius of 7 cm? (Use 3.14
and round to the nearest tenth.)

Answers

A = πr²

A = π7²

A = 49π

A = 49.3,14

A = 153,86

Rounding to the nearest tenth

A = 153,9 cm²

Answer:

A = 153,9 cm²

Step-by-step explanation:

The solution to 16x = 48 is x = ___. (Only input the number.) please answer quick!

Answers

Answer:

3

Step-by-step explanation:

X = 3 I hope this helps!

Determine the type of boundary line and shading for the graph of the inequality 3x + y greater than or equal to 10.
answer choices
Dashed line with shading on the side that includes the origin
Solid line with shading on the side that does not include the origin
Dashed line with shading on the side that does not include the origin
Solid line with shading on the side that includes the origin

Answers

Answer: second option

Step-by-step explanation:

The equation of the line in slope-intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

Rewrite the expression as:

[tex]3x+y=10[/tex]

Solve for "y":

[tex]y=-3x+10[/tex]

You can identify that:

[tex]m=-3\\b=10[/tex]

Therefore, the line intersects the y-axis at the point (0,10)

For the graphs of inequalities with [tex]\geq\ and\ \leq[/tex] the line must be solid.

The inequality given is [tex]3x+y\geq 10[/tex] and it can be written as [tex]y\geq -3x+10[/tex]

Then, the shaded region must be above the solid line. Therefore  it does not include the origin (Observe the graph attached).

Answer:

i agree with the second option

Step-by-step explanation:

8.2 oz of toothpaste for $2.99 or 64 oz of toothpaste for $2.49

Answers

Answer:

i think you meant 6.4 oz, and if so, the 8.2 oz

Step-by-step explanation:

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Which of the following lines from I am Offering This Poem BEST illustrates speakers explanation of what their love can provide?Question 8 options:a) I love you,Its all I have to give,and all anyone needs to live(Santiago Baca lines 23-25)b) I am offering this poem to you,since I have nothing else to give.(Santiago Baca lines 1-2)c) I love you,I have nothing else to give you(Santiago Baca lines 7-8)d) I love you,Keep it, treasure this as you would(Santiago Baca lines 13-14) How Are Photosynthesis And Cellular Respiration Related? Ben fills 42 pints of juice in 12 bottles. Six bottles have a capacity of 3 pints each. The remaining 6 bottles are all of the same capacity. Let b represent the capacity, in pints, of each of the remaining 6 bottles. What is tye capacity of each of the 6 remaining bottles Please select the word from the list that best fits the definitionHay nueve entradas.lllllllllll..USAel bisbolel ftbolel baloncesto which statement best describes the significance of suleyman the magnificent And earth like planet is 500 light years away why is this an obstacle for a manned space mission?(A) there are no people willing to go on this type of mission.(B) the cost to conduct this mission is to low.(C) the current technology cannot support this mission. (D) there are too many space crafts in the universe that would interfere with the mission. I DONT UNDERSTAND!!!! The Suns light only strikes one side of Earth at a time. The dark side of Earth stays warm because the Suns heat A)is stored in the ice caps. B)is trapped by the atmosphere. C)is blown there by the wind. D)is conducted through the Earth. Describe the supreme court position on student speech expression over the past 50 years Need Help! Please!I Really Need To Pass! Will give Brainliest. Needs to Be answered before 3 hours are up. Most answers need to be right.Question 1 (5 points) Investors who put their own money into a startup are known asQuestion 1 options:a. mannequins.b. obligators.c.angels.d.borrowers.Question 2 (5 points) What kind of loan protects businesses in the case of an emergency?Question 2 options:a. A mortgage loanb. An automobile loanc. A line-of-credit loand. An inventory loanQuestion 3 (5 points) What type of loan uses real estate for security?Question 3 options:a. A point of saleb.A line of creditc. A disclaimerd. A second mortgageQuestion 4 (5 points) If you're offered a no-interest loan, the amount of the loan should not exceedQuestion 4 options:a. $2,000.b. $25,000.c. $60,000.d. $100,000.Question 5 (5 points) Family members may lend you money based onQuestion 5 options:a. obligation.b. your sound business plan.c. your strength of character.d. guilt.Question 6 (5 points) The "Four C's of Credit" areQuestion 6 options:a. credit, character, capacity, and collateral.b. credit, complexity, capacity, and cash.c. credit, complexity, character, and collateral.d. cash, complexity, comprehensiveness, and collateral.Question 7 (5 points) With a(n) _______, the full amount of the loan is received when the contract is signed, but only the interest is paid over the life of the loan. The principal is then paid on the date that the loan is due.Question 7 options:a. retirement loanb. balloon loanc. line of creditd. installment loanQuestion 8 (5 points) The era of venture capitalists doling out large sums of money to startups isQuestion 8 options:a. just beginning.b. on the risec. over.d. fading.Question 9 (5 points) What happens if you pay off an installment loan early?Question 9 options:a. You'll incur a prepayment fee.b. The full interest will be charged regardless of when you pay off the loan.c. The interest will be adjusted accordingly.d. The interest will be doubled.Question 10 (5 points) Malik's grandfather has loaned him $110,000 toward opening a restaurant and has told Malik that the loan is interest-free. Why might this be a problem?Question 10 options:a. The loan is for too much money.b. Malik shouldn't borrow money from his relatives.c. The IRS requires that all loans for more than $100,000 be at market-rate interest.d. The IRS will charge Malik a transaction fee.Question 11 (5 points) The federal gift tax applies to all gifts overQuestion 11 options:a. $2,000.b. $10,000.c. $14,000.d. $18,000.Question 12 (5 points) Which of the following should be considered last when searching for financing?Question 12 options:a. Family membersb. Banksc. Commercial finance companiesd. Credit cardsQuestion 13 (5 points) If a loan is risky and extends for more than a year, the lender may ask forQuestion 13 options:a. collateral.b. a signature.c. an escrow account.d. additional payments.Question 14 (5 points) Getting a loan you have to repay is known asQuestion 14 options:a. equity financing.b. debt financing.c.amortized lending.d. irrevocable trusts.Question 15 (5 points) Which of the following is a reason to approach smaller banks for a business loan?Question 15 options:a. Their criteria for approving a loan are much less stringent than those for larger banks.b. They emphasize personal relationships and may give more weight to personal attributes.c. They have lower fees.d. They grant larger loans.Question 16 (5 points) Which of the following involves trading partial ownership interests for capital?Question 16 options:a. Equity financingb. Debt financingc. Partnership financingd. Corporate financingQuestion 17 (5 points) Which of the following is a potential danger of offering common stock to investors?Question 17 options:a. It doesn't allow the entrepreneur to raise enough money.b. The stock can't be valued effectively.c. If an investor gets enough common shares, the investor can take control of the company.d. The stocks can't be redeemed for a set time period.Question 18 (5 points) Which of the following is the number one method of financing for most new businesses?Question 18 options:a. Investment capitalb. Self-financingc. Previous business salesd. Lottery winningsQuestion 19 (5 points) When determining your business's initial cash needs, you should determine how much money you'll need to live on for the first _______ of your business's operations.Question 19 options:a. 1 to 3 monthsb. 1 to 6 monthsc. 6 to 12 monthsd. yearQuestion 20 (5 points) Most angel investors expect a return on investment ofQuestion 20 options:a. 20% to 25% over 5 years.b. 15% to 20% over 5 years.c. 75% over 10 years.d. 100% over 5 years. Which of these is not a definition of the main idea? To the nearest hundredth, what is the value of x? 36.0841.5147.8172.88 jenna buys 8 packets of letter paper. Each packet contains 12 sheets of paper. She uses 16 sheets of letter paper a week. How many weeks will it take her to use all the letter paper? 1. 60 is 75% of what number?