1. 9x + 16 = 4x - 19

Answer:

Which system of equations has infinitely many solutions? its the last option

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Answer:.1 1\2

Step-by-step explanation:

The straight line distance is 5 miles from starting point.

Step-by-step explanation:

Driving 3 miles north and 4 miles east and then the straight line distance will form a right angled triangle.

Where;

One leg =  a = 3 miles

Other leg = b = 4 miles

Hypotenuse = c

Using Pythagoras theorem;

[tex]a^2+b^2=c^2\\(3)^2+(4)^2=c^2\\9+16=c^2\\c^2=25[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{25}\\c=5[/tex]

The straight line distance is 5 miles from starting point.

Answer:

5

Step-by-step explanation:

3[2]+4[2]=c[2]

9+16=c[2]

[tex]\sqrt{25}[/tex]=5

Answer:

1) 5.313131 put the bar over the first 31

2)0.999 put the bar over the first 9

3)2.010101 put the bar over the first 01

4)26.993993 put the bar over the first 993

Step-by-step explanation:

The area of the trapezoid is 20 in².

Solution:

Given data:

Length of the bottom base = 7 in

Length of the top base = 3 in

Height of the trapezoid = 4 in

Step 1: Area of the trapezoid formula,

[tex]$A=\frac{b_{1}+b_{2}}{2} \times h[/tex]

Step 2: Substitute the given values in the formula.

[tex]$A=\frac{7+3}{2} \times 4[/tex]

Step 3: Add 7 and 3.

[tex]$A=\frac{10}{2} \times 4[/tex]

Step 4: Divide 10 by 2, we get

[tex]A=5 \times 4[/tex]

Step 5: Multiply 5 by 4, we get

A = 20 in²

The area given in the picture is wrong.

The area of the trapezoid is 20 in².

Answer:

c=3

Step-by-step explanation:

First simplify like terms.

1+4c=7+2c

1+2c=7 (subtract 2c from both sides)

2c=6 (subtract 1 from both sides)

c=3 (divide by 2)

CHECK:

1+4(3)=7+2(3)

1+12=7+6

13=13

Yes!

Answer: [tex]c=3[/tex]

Step-by-step explanation:

Step 1: Simplify both sides of the equation:

[tex]4c+1=2c+7[/tex]

Step 2: Subtract 2c from both sides:

[tex]4c+1-2c=2c+7-2c[/tex]

[tex]2c+1=7[/tex]

Step 3: Subtract 1 from both sides.:

[tex]2c+1-1=7-1[/tex]

[tex]2c=6[/tex]

Step 4: Divide both sides by 2:

[tex]2c/2=6/2[/tex]

Get your answer:

[tex]c=3[/tex]

Answer:

-2x+11

Step-by-step explanation:

multiply both terms by using the distributive property

It will be: 4x-4-6x+15

add like terms and the equation becomes

-2x+11

Answer:

-2x +11

Step-by-step explanation:

4(x−1)−3(2x−5)

Distribute

4x -4 -6x +15

Combine like terms

4x-6x -4 +15

-2x +11

Answer:

90+3/10 over 100

Step-by-step explanation:

Hope this helped you

Answer:

6

Step-by-step explanation:

21 divided by 3.50 is 6.

Answer:

6 bags of takis

Step-by-step explanation:

$21.00 / $3.50 = 6

The formula [tex]3(4^{n-1})[/tex] represents the geometric sequence.

Step-by-step explanation:

Step 1:

The value of [tex]a_{n}[/tex] is dependent on the value of n.

So n is independent while [tex]a_{n}[/tex] is dependent on n i.e. the value of [tex]a_{n}[/tex]depends on the value of n.

Step 2:

We substitute the values of n in the functions to check which function satisfies the values of [tex]a_{n}[/tex].

If [tex]n = 4, a_{n} = -4(3)^{n-1} = -4 (3^{3}) = -108.[/tex] This does not equal the value of [tex]a_{n}[/tex].

If [tex]n = 4, a_{n} = 4(3)^{n-1} =-4 (3^{3}) = 108.[/tex] This does not equal the value of [tex]a_{n}[/tex].

If [tex]n = 4, a_{n} =3(-4)^{n-1} = 3 (-4^{3}) = -192.[/tex] This does not equal the value of [tex]a_{n}[/tex].

If [tex]n = 4, a_{n} =3(4)^{n-1} = 3 (4^{3}) = 192.[/tex] This equals the value of [tex]a_{n}[/tex].

So the fourth formula represents the geometric sequence.

Answer:

on the x-axis

Step-by-step explanation:

it is located on the x axis because it is not technically in any quandrant. it is however, on an axis.

Answer: Its located on the y-axis

Step-by-step explanation: any point where x is zero e.x (0,7) (0,3), is always going to go through the y-axis only

The no. of maids who worked at the queen's palace is 58.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The queen had 300 servants. there were 10 more butlers than cooks. The number of cooks was twice the number of maids.

Assuming the no. of maids to be 'x', therefore no. of cooks is 2x and the no. of butlers is (2x + 10).

∴ x + 2x + (2x + 10) = 300.

5x = 290.

x = 58.

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6 bills in the deposit were $10 bills.

Step-by-step explanation:

The total number of bills he gave the teller = 24 bills

x + y = 24 ------------(1)

Let,

x be the number of $5 bills.

y be the number of $10 bills.

The total bank deposit made using $5 and $10 bills are $150.

He deposits $5 bills and $10 bills. So, the equation can be framed as :

5x + 10y = 150 --------(2)

The question is asked for how many $10 bills were in the deposit,

Here 'y' is the number of $10 bills.

To solve for y value :

The eq(1) must be multiplied by 5 and subtract eq(2) from eq(1),

 5x + 5y = 120

-(5x + 10y = 150)

 -5y = -30      

⇒ y = 30/5

⇒ y = 6

Therefore, there were 6 bills in the deposit that are $10 bills.

Answer:

3)1 unit right and 1 unit down

Step-by-step explanation:

The parent function is

[tex]y = |x| [/tex]

This is the base of the absolute value functions.

It has its vertex at the origin.

The transformed function is

[tex]y = |x - 1| - 1[/tex]

This absolute value function has its vertex at (1,-1).

This means the parent function has been shifted 1 unit right and 1 unit down to obtain the transformed function.

Answer:

100,000,000

Step-by-step explanation:

hope this helps

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Answer:

l=48, w=20

Step-by-step explanation:

Let the width of the pool be w feet, then the length will be:

[tex]l = 2w + 8[/tex]

The area of the pool is 960 square feet.

This means that:

[tex]w(2w + 8) = 960[/tex]

Expand and rewrite in standard form to get:

[tex]2 {w}^{2} + 8w - 960 = 0[/tex]

[tex] {w}^{2} + 4w - 480 = 0[/tex]

[tex]{w}^{2} + 24w - 20w- 480 = 0[/tex]

[tex]{w}(w+ 24) - 20(w + 24) = 0[/tex]

Factor to get:

[tex](w+ 24)(w - 20) = 0[/tex]

[tex]w = - 24 \: or \: w = 20[/tex]

We discard the negative value because magnitude is positive.

This means

[tex]l = 2 \times 20 + 8 = 48[/tex]

Question:

Which of the following is another way to express the equation 8 - (-d) = 43?

A.8-d=43

B.-d+8=43

C.-8+d=43

D.8+d=43

Answer:

8 + d = 43 is another way to express the given equation

Solution:

Consider the given equation

[tex]8 - (-d) = 43[/tex]

We have to find the another way to express the above equation

We know that,

We we multiply negative sign number by another negative sign number, then the result is positive sign number

Therefore from given,

[tex]-(-d) = -1 \times -d = d[/tex]

Thus the given equation becomes,

8 + d = 43

Thus option D is correct

To calculate the cost for 115 minutes at the Strike Zone Battling Center, we account for the flat rate for the first 45 minutes and add the additional cost for the remaining 70 minutes at a rate of $0.35 per minute. We find that the total would be $37.25.

The cost calculation for using the cages at the Strike Zone Battling Center operates on a tier system. The first 45 minutes costs a flat rate of $12.75. If a patron uses it for additional time up to 2 hours (or 120 minutes), it's an extra $0.35 per minute. Anything over 2 hours is $0.25 per minute.

To calculate the cost for 115 minutes, we determine that it is less than 2 hours. Therefore, the cost will be the flat rate of $12.75 plus the additional cost for 70 minutes (which is 115 minutes minus the first 45 minutes) at $0.35.

The calculation goes as follows:
$12.75 + (70 * $0.35) = $12.75 + $24.50 = $37.25.

So, for 115 minutes, you would pay $37.25

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Answer:

The radius is 2.5 yards

The diameter is 5 yards

Step-by-step explanation:

We want to find the radius and diameter given that, the circumference of the circle is;

C=5π yards.

Recall that, the circumference of a circle is C=πd

This implies that:

[tex]5\pi = \pi \: d[/tex]

Divide both sides by π

[tex]5 = d[/tex]

To find the radius, divide the diameter by 2;

[tex]r = \frac{5}{2} = 2.5[/tex]

The radius is 2.5 yards

The diameter is 5 yards

Answer:

81

Step-by-step explanation:

ANGLES in a TRIANGLE add up to 180

In the Triangle you have 65 and 34

Add them together = 99

Subtract the total from 180

180 - 99 = 81

Answer:

81 degrees

Step-by-step explanation:

The angles of the triangle always add up to 180.

SO you'd do 65+34 which equals 99.

NOW you do 180-99 which equals 81

So you're missing angle would be 81 degrees

Answer:$125

Step-by-step explanation:

50% of 250

50/100 x 250

1/2 x 250=(1x250)/2=250/2=125

Answer: He needs to wait 8 weeks.

Step-by-step explanation: 5•8 equals 40. 2 books, 20$ each and add them together, 40!

To determine the number of weeks Marco needs to save $40 to buy two books at $20 each, an equation can be set up based on his weekly savings of $5. Solving the equation 5 × w = $40 gives us w = 8, meaning Marco will need to save for 8 weeks.

The problem given is about Marco who wants to buy two books, each costing $20. He can save $5 a week. To calculate how many weeks it will take for Marco to save enough to buy the books, we can set up an equation. First, we need to determine the total cost of the books:

Next, let’s set up our equation. If Marco saves $5 each week, the total amount saved after w weeks will be 5 × w. We want this to be equal to the total cost of the books, so our equation will be:

5 × w = $40

To solve for w, we divide both sides by 5:

w = $40 / 5

w = 8

Therefore, it will take Marco 8 weeks to save enough money to buy the two books.

Answer:

Reflection in the y-axis maps:

(x,y) onto (-x,y)

x coordinate gets multiplied by -1,

y coordinate remains unchanged

The best option that describes an unpredictable event is the winner of a presidential election 10 years from now. Hence, option B is correct.

An event in probability theory is the result of a random event or a specified group of its results. Any subgroup of a sample space is another definition of an event because the sample space is the gathering of all potential results of a random experiment.

As per the given data in the question,

Unpredictable life occurrences are those that occur without warning and are typically unplanned.

So, the unpredictable event will be the winner of a presidential election 10 years from now. Because that is not known by anyone.

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The surface area of the exhibit is 1,638 cubic inches.

Step-by-step explanation:

Step 1:

If three prisms are out on top of each other we get a shape as follows;

The length of the base [tex]= 9[/tex] inches,

The width of the base [tex]=6[/tex] inches, and

The height of the exhibit [tex]= 3(17) = 51[/tex] inches.

To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.

Step 2:

There are 6 faces to the exhibit.

The surface area of a rectangular prism is given by;

[tex]A=2(w l+h l+h w)[/tex]

By substituting the values, we get

[tex]A=2((6)(9)+(51) (9)+(51) (6)) = 2 (819) = 1,638.[/tex]

The surface area of the exhibit is 1,638 cubic inches.

Step-by-step explanation:

Diameter of circle = 25 m

Therefore, radius of the circle = 12.5 m

[tex]area \: of \: bottom \: of \: pool \\ = \pi {r}^{2} \\ = 3.14 \times ( {12.5)}^{2} \\ = 3.14 \times 156.25 \\ = 490.625 \: {m}^{2} \\ \approx490.63 \: {m}^{2} [/tex]