Which equation represents the line that passes through points B and C on the graph

Answer:

$36 per day plus $0.22 per mile

Step-by-step explanation:

For Ben,

Total miles driven = 550 miles

Number of days = 6 days

Total cost = $337

For Lisa

Total miles driven = 350 miles

Number of days = 3 days

Total cost = $185

Solving Simultaneously;

6d + 550m = 337

3d + 350 m = 185

Multiply equation 2 by 2  we have

6d + 550m = 337   ----1

6d + 700m = 370------2

So;

Subtracting equation  1 from equation 2

150m = 33

m = 33/150

m = $0.22

Substitute m=0.22 into equation 1

6d + 550(0.22) = 337

6d + 121 = 337

6d = 337 - 121

6d = 216

d = 216/6

d = $36

Hence the charge is $36 per day plus $0.22 per mile

Answer:

7

Step-by-step explanation:

The greatest possible whole-number length of the unknown side is 9 inches, option fourth is correct.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have:

Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.

As we know, in the triangle, the sum of the two sides is equal and greater than the third side.

Mathematically,

x + y ≥ z

Here x, y, and z are the sides of the triangle.

12 + 14 ≥ x

x ≤ 26

The greatest possible whole-number length of the unknown side is 9 inches.

Thus, the greatest possible whole-number length of the unknown side is 9 inches, option fourth is correct.

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Answer:

3 1/2 miles

Step-by-step explanation:

We can use a ratio to solve

1/2 mile           x miles

----------------= ---------------

1/4 hour           1 3/4 hours

Changing to improper fractions

1/2 mile           x miles

----------------= ---------------

1/4 hour         7/4 hours

Using cross products

1/2 * 7/4 = 1/4x

7/8 = 1/4x

Multiply each side by 4

7/2 = x

Changing back to a mixed number

3 1/2 =x

Step-by-step explanation:

Ooooooooommkkekekeekkkekekeeekkeek leplelelellle to u too

Answer:

(7, ∞)

Step-by-step explanation:

Because x does not equal 7 as well, brackets won't be used here.

Because x can be any number greater than 7, this means the domain includes positive ∞.

Answer:

There are 11 Girls for every 12 Boys in the sixth-grade class

Step-by-step explanation:

For this problem, you want to take the original rate which is 88 girls / 96 boys.

Once you have that number, you want to divide both sides by 8.

88/96 = 11/12

The correct option is D. 11 girls for every 12 boys.

We need to determine the ratio of the number of girls to the number of boys.

Given:

Number of girls = 88

Number of boys = 96

The ratio of girls to boys can be represented as "girls : boys."

To simplify the ratio, we can divide both the number of girls and the number of boys by their greatest common divisor (GCD). In this case, the GCD of 88 and 96 is 8.

Dividing both numbers by 8, we get:

Number of girls (after dividing) = 88 ÷ 8 = 11

Number of boys (after dividing) = 96 ÷ 8 = 12

So, the simplified ratio of girls to boys is 11 : 12.

Now, let's check which option matches the simplified ratio:

A. 88 girls for every 96 boys (Does not match)

B. 1 girl for every 1.09 boys (Does not match)

C. 44 girls for every 48 boys (Does not match)

D. 11 girls for every 12 boys (Matches)

The correct option is D. 11 girls for every 12 boys.

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Step-by-step explanation:

x - is the amount of DVDs

so 2x + 5x + 7x = 56

14x = 56

x = 4

so comedy is 2x4 = 8; action 7x4 = 28 and horror is 5x4 = 20 DVDs

Answer:

$120

Step-by-step explanation:

If she gets $15 per dozen, and if she does 8 dozens, we need to multiply 15 by 8. When we do this, we get 120. This means Elaisha earns $120.

Answer:

120 a week

Step-by-step explanation:

$15 times 8 dozen

Answer:

x ≤ 1

Step-by-step explanation:

The graph goes in the left direction, meaning the inequality needs to be less than.

The point is at the point positive 1 and has a shaded dot, meaning the inequality needs to be less than or equal to 1.

Answer:

B

Step-by-step explanation:

x ≤ 1

As thee circle at 1 is filled,you have to include 1 also

Answer:

Total time = 1.5 hours

Step-by-step explanation:

Given:

Total distance = 183 miles

Speed = 122 miles per hour

Find:

Total time

Computation:

Total time = Total distance / Speed

Total time = 183 / 122

Total time = 1.5 hours

Answer:

4/5

Step-by-step explanation:

32/8=4

40/8=5

4/5

Answer:

sinθ = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Using the trigonometric identity

sin x = [tex]\frac{1}{cscx}[/tex] , then

sin

θ = [tex]\frac{1}{\frac{4}{3} }[/tex] = [tex]\frac{3}{4}[/tex]

Answer:

Step-by-step explanation:

21,900 / 0.272  =  80,514.7

Answer:

The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon.

Step-by-step explanation:

Answer:

(n-2)x 180 degrees

Step-by-step explanation:

Answer:

6*(-5)

Step-by-step explanation:

Answer:

6 times -5

Step-by-step explanation:

Answer:

82.5

Step-by-step explanation:

750 x .11= 82.5

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

Explanation:

The similar red marks on the angles tell us those angles are congruent. So they are the same measure.

The sides opposite those congruent angles are the same length. This means AC = BC. This triangle is isosceles.

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

Solve for x

AC = BC

5x-8 = 2x+7 .... substitution

5x-8-2x = 7 ... subtract 2x from both sides

5x-2x = 7+8 ..... add 8 to both sides

3x = 15

x = 15/3 ... divide both sides by 3

x = 5

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

Use that x value to compute each side length

AB = 3x+11 = 3*5+11 = 15+11 = 26

BC = 2x+7 = 2*5+7 = 10+7 = 17

CA = 5x-8 = 5*5-8 = 25-8 = 17

Note how BC and CA are the same length (17 units). This helps confirm we have the right x value.

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

The last step is to add up all the side lengths to get the perimeter

perimeter of triangle = sum of all the sides

perimeter of triangle = side1 + side2 + side3

perimeter of triangle ABC = AB + BC + CA

perimeter of triangle ABC = 26 + 17 + 17

perimeter of triangle ABC = 60 units

Answer:

Step-by-step explanation:

Remark

The sides opposite the 2 base angles are equal. That gives you x. Then all you have to do is substitute in the 3 binomials.

Equation

5x - 8 = 2x + 7                 Add 8 to both sides

Solution

5x - 8 + 8 = 2x + 7 + 8   Combine

5x = 2x + 15                   Subtract 2x from both sides

5x-2x = 2x-2x + 15        Combine

3x = 15                           Divide by 3

x = 5

Side length

5x - 8 = 5*5 - 8 = 25 - 8

5x - 8 = 17

3x + 11 = 3*5 + 11 = 15 + 11 = 26

Perimeter

17

17

26    Add

Perimeter = 60

Answer:

Step-by-step explanation:

-20z+8+(-6)

-20z+2

Answer:

it is (-20z+8)+(-24)

Step-by-step explanation:

the operation that is done here is multiplication. so, now you can just multiply each term, -5z times 4, 2 times 4, -6 times 4.

-5z times 4: -20z

2 times 4: 8

-6 times 4: -24

Answer:

3.2t - 2.4

Step-by-step explanation:

Given

- 3.6 - 1.9t + 1.2 + 5.1t ← collect like terms

= (- 1.9t + 5.1t) + (- 3.6 + 1.2)

= 3.2t + (- 2.4)

= 3.2t - 2.4

Answer:

203.74

Step-by-step explanation:

10.187x20=203.74m

203.74 = 0.20374 kilometres

Answer:

-61

Step-by-step explanation:

We use the distributive property to distribute 6 to both x and 11. This gives 6x+66=-300. Subtracting both sides by 66 gives 6x=-366. Dividing both sides gives x=-61.

Answer:

A. -4

Step-by-step explanation:

−6 − (−2) = -6 + 2

              = -4

Hope this helped :)

Answer:

4

Step-by-step explanation:

Answer 9x^2

Step-by-step explanation:

3x^2+6x^2=9x^2

Answer:

9x^2

Step-by-step explanation:

3x^2 + 6x^2

9x^2

You do not multiply exponets, they stay the same.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

Step-by-step explanation:

Incomplete presentation of question.  Did you want to factor out the greatest common factor (which is 2), obtaining 2(4y - 3)?  Or something else?  Also:  please note that if you use the left parenthesis ) , you MUST also use the right parenthesis ( .