6 years ago, the sum of jeremy, quan, karen, and randy’s age was 20. find their total age now.

The answer is:

The distance between the two jets is 63.5 mi.

From the statement we know that the first jet is located 56 mi due to the east city while the second jet is located 30 mi due to the north, so, we can calculate the distance between the two jets using the Pythagorean Theorem.

The Pythagorean Theorem states that:

[tex]c^{2}=a^{2} +b^{2}[/tex]

So,

[tex]Distance=\sqrt{(Jet_{1}Location)^{2}+(Jet_{2}Location)^{2}}\\\\Distance=\sqrt{(56mi)^{2}+(30mi)^{2}}=\sqrt{3136mi^{2}+900mi^{2}} \\\\Distance=\sqrt{3136mi^{2}+900mi^{2}}=\sqrt{4036mi^{2}}=63.5mi[/tex]

Hence, the distance between the two jets is 63.5 mi.

Have a nice day!

This is a quadratic equation. You have to factor it.

You have to find two numbers that meet the following requirement:

-When multiplied, is equal to -18.

-When added, is equal to 3.

The two numbers are 6 and -3.

Now factor it:

(x + 6)(x - 3)

So x = -6 or x = 3

Answer:

1=C 2=D 3=C 4=B 5=C 6=A 7=C 8=A 9=B

Step-by-step explanation:

Can  I get brainliest

Also email me at lionking6021

gmai l

Answer:

It's number             A

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Basically, (f o g)(1) is saying f(g(1))

So let's plug in 1 into the g(x) equation.

[tex]g(1)=2(1)-6 \\ \\ g(1)=2-6 \\ \\ g(1)=-4[/tex]

Now we can plug in -4 into the f(x) equation.

[tex]f(-4)=-4(-4)+7 \\ \\ f(-4)=16+7 \\ \\ f(-4)=23[/tex]

23

Step-by-step explanation:

This is a problem of composition of function. We can define this as follows:

[tex]The \ \mathbf{composition} \ of \ the \ function \ f \ with \ the \ function \ g \ is:\\ \\ (f \circ g)(x)=f(g(x)) \\ \\ The \ domain \ of \ (f \circ g) \ is \ the \ set \ of \ all \ x \ in \ the \ domain \ of \ g \\ such \ that \ g(x) \ is \ in \ the \ domain \ of \ f[/tex]

So [tex](f.g)(x)=f(g(x))=h(x)[/tex]:

[tex]h(x)=-4(2x-6)+7 \\ \\ h(x)=-8x+24+7 \\ \\ h(x)=-8x+31[/tex]

Therefore:

[tex]h(x)=f(g(1))=-8(1)+31=23[/tex]

Correct option is C. The independent variable in the equation y = 10x is 'x', which represents the number of questions answered correctly on the exam.

In the equation y = 10x, the independent variable is the variable that you have control over or can set the value of freely, which in this context is the number of questions answered correctly on the exam represented by 'x'. The dependent variable, represented by 'y', is the total number of points you score on the exam, which depends on the number of questions you answered correctly. Therefore, the correct answer to the question is C) The number of questions answered correctly on the exam.

Answer:

C, C, C

Hope This Helps!    Have A Nice Day!!

That is a cuboid.

Cuboids have 8 vertices

As we are looking at the given shape, we have identified that it has 8 vertices.

A cuboid has three pairs of opposite faces. Each pair consists of two congruent rectangles that are parallel to each other. For instance, let's label the length, width, and height of the cuboid as "a," "b," and "c," respectively.

Length faces: These are the two large faces on the opposite sides of the cuboid, each measuring "a" units in length and "c" units in height. They contribute 4 vertices, two on the top edge and two on the bottom edge.

Width faces: These are the two smaller faces on the opposite sides, each measuring "b" units in width and "c" units in height. Like the length faces, they also contribute 4 vertices.

Height faces: These are the top and bottom faces of the cuboid, each measuring "a" units in length and "b" units in width. They contribute 4 vertices as well.

Now, it's essential to note that each vertex is a point where three edges meet. A cuboid has three edges meeting at each of its eight vertices. However, the four vertices on the top of the cuboid are not the same as the four vertices on the bottom; they belong to different faces. Hence, we cannot count them twice.

Thus, a cuboid has a total of 8 vertices.

To know more about vertices here

https://brainly.com/question/29154919

#SPJ2

Answer:

[tex]g(n-7)=\frac{n^2-14n+44}{3n-21}[/tex]

Step-by-step explanation:

The given function is

[tex]g(x)=\frac{x^2-5}{3x}[/tex]

To find g(n-7), we substitute x=n-7 to obtain;

[tex]g(n-7)=\frac{(n-7)^2-5}{3(n-7)}[/tex]

Expand the parenthesis to obtain;

[tex]g(n-7)=\frac{n^2-14n+49-5}{3n-21}[/tex]

Simplify:

[tex]g(n-7)=\frac{n^2-14n+44}{3n-21}[/tex]

Break it into squared and rectangles and find the area of those first then add it all together

For your square you would get 16 ft squared

For your rectangle you would get 32 ft squared

For your other rectangle you would get 32 ft squared as well

Then add those all together to get the full answer

80 ft squared

Hope this helps :)

Answer:  (3, -1)

Step-by-step explanation:

Add the equations to eliminate y:

   x - y = 4

   x + y = 2

 2x      = 6

÷2         ÷2

   x     =  3

Substitute x = 3 into either of the equations to solve for y:

x + y = 2

3 + y = 2

    y = -1

Answer

0.024, 0.030,0,036

Step-by-step explanation:

+0.06 everytime

Answer:

Step-by-step explanation:

Thank you for responding.

Let's pretend you are not dealing with a decimal. Suppose the sequence was

6   12    18 ... and you wanted the next three entries. You would notice that you add 6 to go from 6 to 12. You could also see that you would add 6 to get from 12 to 18.

So the next 3 entries would be 24   30   36.

Now go back to what you are given

0.024

0.030

0.036

No need to be formal. It is just a disguised arithmetic sequence.

Answer:

Step-by-step explanation:

We have three triangles with base b = 9yd and height h = 10yd, and one triangle in the base of pyramid with base b = 9yd and height h = 7.8yd.

The formula of an area of a triangle:

[tex]A_\triangle=\dfrac{bh}{2}[/tex]

Substitute:

[tex]LA=4\cdot\dfrac{(9)(10)}{2}=(2)(90)=180\ yd^2\\\\B=\dfrac{(9)(7.8)}{2}=(9)(3.9)=35.1\ yd^2\\\\SA=B+LA\to SA=180+35.1=215.1\ yd^2[/tex]

Multiply the bracket by 1/2

1/2(2n +6)

cross out 2 and 2n and divide by 2.

cross out 6 and 2 and divide by 2

n+3

Answer is n+3

Distribute 1/2 into (2n+6): 1/2 * 2n + 1/2 * 6. Simplify: n + 3. The equivalent expression is n + 3.

Let's break down the process step by step:

Given expression:[tex]\( \frac{1}{2}(2n+6) \)[/tex]

1. Distribute [tex]\( \frac{1}{2} \)[/tex]into the parentheses:

  We multiply each term inside the parentheses by [tex]\( \frac{1}{2} \):[/tex]

  [tex]\( \frac{1}{2} \times 2n + \frac{1}{2} \times 6 \)[/tex]

2. Simplify each term:

  a. [tex]\( \frac{1}{2} \times 2n \):[/tex]

     The [tex]\( \frac{1}{2} \)[/tex] and the [tex]\( 2 \)[/tex] cancel out, leaving [tex]\( n \).[/tex]

  b. [tex]\( \frac{1}{2} \times 6 \):[/tex]

     Multiply [tex]\( \frac{1}{2} \) by \( 6 \) to get \( 3 \).[/tex]

3. Combine the simplified terms:

  Add the simplified terms together:

  [tex]\( n + 3 \)[/tex]

So, the expression equivalent to [tex]\( \frac{1}{2}(2n+6) \) is \( n + 3 \).[/tex]

Answer:

4/6

Step-by-step explanation:

this is going to be your answer because 2/6 is 1/3 cup and then 4/6 is 2/3 of a cup.

Answer:

Are there answer choices?

Step-by-step explanation:

Answer: It would most likely be D. 90

Step-by-step explanation: When you are dealing with grades, you have to know how to average them. First step is to add all of the points that he earned, this would be 80 + 100 + 100 + 100 + 100 = 480. After you find that, you have to divide it by 5 since he takes 5 tests. 480/5 = 96. I hoped this helped you.

Answer:

I believe that the answer is 90

Step-by-step explanation:

I think it is 90 because if you get 4 more 100%'s it should be a pretty much higher number. And it makes the most sense.

If both machines are working at once, 200 tshirts (100 in each machine) could be made in 100 minutes, if 200 shirts can be made in machine 1 in 50 minutes, it will take 25 minutes to make 100. machine b takes 150 minutes per each 200, 150 divided by two is 75. 75 + 25 = 100 minutes

It would work better just to use machine one and take 50

minutes, but i dont think thats an answer choice.

edit: i think from the choices your answer would be: 37.5 as if both machines run at once more tshirts can be made

Answer:75

Step-by-step explanation:3/5x=45

X=45÷3/5

×=45×5/3

×=75

For this case we must find the value of the variable "x" of the following equation:

[tex]\frac {3} {5} x = -45[/tex]

We multiply by 5 on both sides of the equation:

[tex]3x = -45 * 5\\3x = -225[/tex]

We divide between 3 on both sides of the equation:

[tex]x = \frac {-225} {3}\\x = -75[/tex]

Answer:

[tex]x = -75[/tex]

Answer: [tex]\frac{70}{3}[/tex]

Step-by-step explanation:

Given a fraction [tex]\frac{a}{b}[/tex] and a fraction [tex]\frac{c}{d}[/tex], you can find the product by multiplying the numerator of the first fraction by the numerator of the second fraction and the denominator of the first fraction by the denominator of the second one:

[tex]\frac{a}{b}*\frac{c}{d}=\frac{ac}{bd}[/tex]

Therefore, knowing this you can find the product of the fractions [tex](\frac{5}{3})(\frac{2}{3})(\frac{21}{1})[/tex]:

 [tex](\frac{5}{3})(\frac{2}{3})(\frac{21}{1})=\frac{5*2*21}{3*3*1}=\frac{210}{9}[/tex]

And finally you need to reduce the fraction:

[tex]=\frac{70}{3}[/tex]

Answer:

Final answer is [tex]\frac{70}{3}[/tex].

Step-by-step explanation:

Given expression is :

[tex]\left(\frac{5}{3}\right)\cdot\left(\frac{2}{3}\right)\cdot\left(\frac{21}{1}\right)[/tex]

Now we need to find their product. In other words simplify it

We can multiply numerator with numerator. Then denominator with denominator

[tex]\left(\frac{5}{3}\right)\cdot\left(\frac{2}{3}\right)\cdot\left(\frac{21}{1}\right)[/tex]

[tex]=\frac{5\cdot2\cdot21}{3\cdot3\cdot1}[/tex]

[tex]=\frac{210}{9}[/tex]

[tex]=\frac{70}{3}[/tex]

So the final answer is [tex]\frac{70}{3}[/tex].

Answer:

he would make one out of the two shots

Step-by-step explanation:

Answer with explanation:

Probability of getting shoot from free throw line= 80% =0.80

Probability of not getting shoot from free throw line = 100% - 80% = 20% = 0.20

A student attempt throwing ,twice from free throw line.

A= First Attempt

B= Second Attempt

→If Events , A and B are Independent,then Probability of A and B is given as

P (A ∩ B)= P(A) × P(B)

→And,Conditional probability of event A has definitely occurred  and then probability that event B will occur,when these two events A and B are not Independent, is given by:

[tex]P(\frac{B}{A})=\frac{P(B\cap A)}{P(A)}[/tex]

Option 4:  The conditional probability of Event B given Event A is P(B|A)=P(A and B)/P(A) when two events are not independent.

Answer:

Ryan has 2H + 5 stickers.

Step-by-step explanation:

Let J = Janice

Let M = Melvin

Let R = Ryan

J = 2*M

R = J + 5

=============

J = 2*H

R = 2H + 5

Answer:

Step-by-step explanation:

Let b and g represent the number of boys and the number of girls respectively.

Then b + g = 22 (students), and g = b + 12.

Substituting b + 12 for g in b + g = 22 yields:

b + (b + 12) = 22

or:

2b + 12 = 22, or 2b = 10, so that b = 5.

Then g = b + 12 = 5 + 12 = 17.

There are 17 girls and 5 boys.

Question 1:

For this case, let the variable "x" be the number of girls in the classroom. Let the variable "y" be the number of boys in the classroom.

We propose the equations:

[tex]x + y = 22\\x = y + 12[/tex]

We substitute the second equation in the first:

[tex]y + 12 + y = 22\\2y = 22-12\\2y = 10\\y = 5[/tex]

So, in the classroom there are 5 boys.

[tex]x = 5 + 12\\x = 17[/tex]

So, there are 17 girls.

Answer:

5 guys

17 girls

Question 2:

For this case we have to:

Let x be the variable that represents the amount of money Jamie has.

Let y the variable that represents the amount of money that Kristen has

We have to:

[tex]x = 2y\\x + y = 36[/tex]

We substitute the first equation in the second:

[tex]2y + y = 36\\3y = 36\\y = \frac {36} {3}\\y = 12[/tex]

Looking for the value of x:

[tex]x = 2 (12)\\x = 24[/tex]

Answer:

So, Jaime you have $ 24 and Kristen you have $ 12.

Question 3:

For this case we have to:

Let "x" be the variable that represents the number of dogs in the Pet Stop.

Let "y" be the variable that represents the number of cats in the Pet Stop.

We have to:

[tex]x + y = 15\\4x = y[/tex]

We substitute the second equation in the first:

[tex]x + 4x = 15\\5x = 15\\x = \frac {15} {5}\\x = 3[/tex]

We look for the value of y:

[tex]y = 4x\\y = 4 (3)\\y = 12[/tex]

So, there are 12 cats and 3 dogs.

Answer:

12 cats

3 dogs

Answer:

its A

Step-by-step explanation:

Answer:

A) (3, 6)

Step-by-step explanation:

Answer:

hello : x=2 and x = -8 is solution

Step-by-step explanation:

x² +6x -16=0

for : x = 2

2² +6(2) -16 = 4+12-16 = 16-16 = 0

for x = - 8

(-8)² +6(-8) -16 = 64 - 48 -16 = 64 -64 = 0

For this case we must solve the following equation of the second degree:

[tex]x ^ 2 + 6x-16 = 0[/tex]

The solution is given by:

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]

Where:

[tex]a = 1\\b = 6\\c = -16[/tex]

Substituting:[tex]x = \frac {-6\pm \sqrt {6 ^ 2-4 (1) (- 16)}} {2 (1)}[/tex]

[tex]x = \frac{-6\pm\sqrt{36+64}}{2}[/tex]

[tex]x = \frac {-6 \pm \sqrt {100)}} {2}\\x = \frac {-6 \pm10} {2}[/tex]

So:

[tex]x_ {1} = \frac {-6 + 10} {2} = \frac {4} {2} = 2\\x_ {2} = \frac {-6-10} {2} = \frac {-16} {2} = - 8[/tex]

Answer:

[tex]x_ {1} = 2\\x_ {2} = - 8[/tex]

Answer:

The coefficient of the squared expression in the parabola equation is [tex]a=4[/tex]

Step-by-step explanation:

The equation of a parabola in its vertex form is:

[tex]y = a(x-h) ^ 2 + k[/tex]

Where the vertex of the parabola is the point (h, k)

a is the ceoficiente of the term to the square.

We need to find the equation of a parabola that has its vertex in the point:

(-5, -2)

So:

[tex]h = -5\\\\k = -2[/tex]

Therefore the equation is:

[tex]y = a(x - (-5)) ^ 2 -2\\\\y = a(x + 5) ^ 2 -2[/tex]

We know that the point (-4, 2) belongs to this parable. Then we can find the value of a by replacing the point in the equation of the parabola

[tex](2) = a((-4) + 5) ^ 2 -2\\\\2 = a(1) ^ 2 -2\\\\2 = a -2\\\\a = 4[/tex]

Finally the coefficient is a = 4

Answer:

The answer is 4

Step-by-step explanation:

This is the correct answer

Answer:Classifying Polynomials. Polynomials can be classified two different ways - by the number of terms and by their degree. A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.)

Step-by-step explanation:Hope this helps. Please name me brainliest

The answer is:

⇨ look at its highest exponent

Work/explanation:

To classify polynomials by their degree, look at the highest exponent of the polynomial.

For instance, if we have [tex]\rm{x^2+2x}[/tex] then we have a second-degree binomial.

(binomial because we have 2 terms)

Answer:

$35.64

Step-by-step explanation:

First, add all the things she bought.

$5.78 + $19.87 + $24.99 = $50.64

Next, subtract the total with the $15 gift certificate.

$50.64 - $15 = $35.64.

4:1 should be your answer I might be dumb‍♀️

Answer:

4:1

Step-by-step explanation:

We can divide 28 and 7 by 7

28/7 = 4

7/7 =1

28:7  becomes 4:1

Answer:

a. 18.67 + 3.456 + 0.2 + 3.21

=25.536

b. 3.256 + 4.21 + 3.009 + 0.35

=10.825

c. 7 – 3.06

=3.94

d. 62.98 – 3.555

=59.425

e. 5.3 × 12

=63.6

f. 4.35 × 2.11

=9.1785

g. 56/0.7

= 80

h. 5.6/7

=0.8

Perform addition, subtraction, and multiplication operations with decimal numbers.

a. To perform the addition, we simply add the numbers together:

18.67 + 3.456 + 0.2 + 3.21 = 25.536

b. Add the numbers together:

3.256 + 4.21 + 3.009 + 0.35 = 10.825

c. Subtract 3.06 from 7:

7 - 3.06 = 3.94

d. Subtract 3.555 from 62.98:

62.98 - 3.555 = 59.425

e. Multiply 5.3 by 12:

5.3 × 12 = 63.6

f. Multiply 4.35 by 2.11:

4.35 × 2.11 = 9.1785

g. Divide 56 by 0.7:

56 ÷ 0.7 = 80

h. Divide 5.6 by 7:

5.6 ÷ 7 = 0.8

https://brainly.com/question/36349392

#SPJ6

Answer:

[tex]\large\boxed{\dfrac{10x^6y^3+20x^3y^2}{5x^3y}=2x^3y^2+4y}[/tex]

Step-by-step explanation:

[tex]\dfrac{10x^6y^3+20x^3y^2}{5x^3y}=\dfrac{(5x^3y)(2x^3y^2)+(5x^3y)(4y)}{5x^3y}\\\\=\dfrac{5x^3y(2x^3y^2+4y)}{5x^3y}\qquad\text{cancel}\ 5x^3y\\\\=2x^3y^2+4y[/tex]