An Internet service has a monthly access fee of $24.95 and a connection fee of $0.25 per hour. The function y=0.25x+24.95 represents the total cost y of Internet use for x hours. If Bonnie uses the Internet for 7 hours and Billy uses the Internet for 4 hours, how much more did Bonnie spend for Internet access than Billy?

Answer:

1) x = 12

2) x = 23.1

3) x = 19

4) x = 16

5) x = 8

6) x = 17

Step-by-step explanation:

Comparing the sides of each triangle, we have;

1) [tex]\frac{32}{32 + x}[/tex] = [tex]\frac{24}{33}[/tex]

Cross multiply to get,

(32 + x) * 24 = 32 * 33

768 + 24x =1056

24x = 1056 - 768

24x = 288

x = 12

2) [tex]\frac{14}{34}[/tex] = [tex]\frac{x}{33 + x}[/tex]

cross multiply to have;

34x = 14 (33 + x)

34x = 462 + 14x

20x = 462

x = 23.1

3) [tex]\frac{20}{36}[/tex] = [tex]\frac{30}{x + 35}[/tex]

cross multiply to have;

36 * 30 = 20(x + 35)

1080 = 20x + 700

1080 - 700 = 20x

380 = 20x

x = 19

4) [tex]\frac{22.5}{42.5}[/tex] = [tex]\frac{2x - 5}{3x + 3}[/tex]

cross multiply to have;

42.5(2x - 5) = 22.5(3x + 3)

85x - 212.5 = 67.5x + 67.5

collect like terms

85x - 67.5x = 67.5 + 212.5

17.5x = 280

x = 16

5) [tex]\frac{2x + 4}{2x + 8}[/tex] = [tex]\frac{x + 7}{x + 10}[/tex]

cross multiply to have;

(2x + 8)(x + 7) = (2x + 4)(x + 10)

2[tex]x^{2}[/tex] + 14x + 8x + 56 = 2[tex]x^{2}[/tex] + 20x + 4x + 40

2[tex]x^{2}[/tex] + 22x + 56 = 2[tex]x^{2}[/tex] + 24x + 40

collect like terms to have;

22x - 24x = 40 - 56

-2x = -16

x = 8

6) [tex]\frac{28}{82}[/tex] = [tex]\frac{2x + 8}{7x + 4}[/tex]

cross multiply to have;

82(2x + 8) = 28(7x + 4)

164x + 656 = 196x + 112

164x - 196x = 112 - 656

-32x = -544

x = 17

The value of x in all the options can be determined by using the arithmetic operations. The calculations are given below.

1)

Given :

Two side lengths of a triangle are (x + 32) and 33.

According to the similar triangles property:

[tex]\dfrac{32+x}{32}=\dfrac{33}{24}[/tex]

SImplify the above expression in order to determine the value of 'x'.

768 + 24x = 1056

24x = 288

x = 12

2)

Given :

Two side lengths of a triangle are 34 and (x + 33).

According to the similar triangles property:

[tex]\dfrac{14}{34}=\dfrac{x}{33+x}[/tex]

SImplify the above expression in order to determine the value of 'x'.

34x = 462 + 14x

20x = 462

x = 23.1

3)

Given :

Two side lengths of a triangle are 36 and (x + 35).

According to the similar triangles property:

[tex]\dfrac{20}{36}=\dfrac{30}{35+x}[/tex]

SImplify the above expression in order to determine the value of 'x'.

1080 = 20x + 700

20x = 380

x = 19

4)

Given :

Two side lengths of a triangle are (3x + 3) and 42.5.

According to the similar triangles property:

[tex]\dfrac{22.5}{42.5}=\dfrac{2x-5}{3x+3}[/tex]

SImplify the above expression in order to determine the value of 'x'.

85x - 212.5 = 67.5x + 67.5

17.5x = 280

x = 16

5)

Given :

Two side lengths of a triangle are (2x + 8) and (x + 10).

According to the similar triangles property:

[tex]\dfrac{2x + 4}{2x+8}=\dfrac{x+7}{x+10}[/tex]

SImplify the above expression in order to determine the value of 'x'.

(2x + 8)(x + 7) = (2x + 4)(x + 10)

[tex]2x^2+22x+56=2x^2+24x+40[/tex]

16 = 2x

x = 8

6)

Given :

Two side lengths of a triangle are 82 and (7x + 4).

According to the similar triangles property:

[tex]\dfrac{28}{82}=\dfrac{2x+8}{7x+4}[/tex]

SImplify the above expression in order to determine the value of 'x'.

28(7x + 4) = (2x + 8)82

32x = 544

x = 17

For more information, refer to the link given below:

https://brainly.com/question/25277954

Answer:

x= -1,-7                

Step by step:

Answer:

x = -7 and -1

Step-by-step explanation:

Move the right side of the equation over to the left;

x^2+8x+7 = 0; Factor

(x+7)(x+1)=0 ; Solve for x;

x = -7 and -1

Answer: -4

Step-by-step explanation:

2(-3)*2-(-3)+5= -4

Answer:

8 minutes

Step-by-step explanation:

minutes Abel completed the race = time finished - time started

7:18 - 7:10 = 8 minutes

Answer:

5 x 4 x 3 = 60

Step-by-step explanation:

Do - H x L x W

H is 5

L is 4

W is 3

Answer:

can you please give more info

Step-by-step explanation:

Agree: when Asher looks at the data, he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed right.

It is defined as the numerical data representation in the graph with the help of a bar without space. The histogram gives an idea about the data's approximate distribution.

We know on the left side skewed histogram has more data on the right and on the left side, there are fewer data. It is also called a negatively skewed histogram.

On the right side skewed histogram, there is fewer data on the right side and more data on the left side. It is also called a positive histogram.

As we can see in the histogram of Mrs. Jamisos class and Mr. Zimmermann's class, there is fewer data on the right side, hence it is right side skewed.

Thus, agree: when Asher looks at the data, he says that both Mrs. Jamisos class and Mr. Zimmermann's class has data that is skewed right.

Learn more about the histogram here:

brainly.com/question/16819077

#SPJ2

Answer:

D

Step-by-step explanation:

Answer:

D. 6y/x²

Step-by-step explanation:

6×y= 6y

x squared =x²

Answer:

what

Step-by-step explanation:

Given:

The arithmetic sequence is:

10, 12, 14, 16, ...

To find:

The function that generates the given sequence if n is an integer.

Solution:

We have,

10, 12, 14, 16, ...

Here, the first term is 10 and the common difference is:

[tex]d=a_2-a_1[/tex]

[tex]d=12-10[/tex]

[tex]d=2[/tex]

The nth term of an arithmetic sequence is:

[tex]a_n=a+(n-1)d[/tex]

Where, a is the first term, d is the common difference and [tex]n\geq 1[/tex].

Putting [tex]a=10,d=2[/tex] in the above formula, we get

[tex]a_n=10+(n-1)2[/tex]

[tex]a_n=10+2n-2[/tex]

[tex]a_n=8+2n[/tex]

Therefore, the function [tex]a_n=8+2n, n\geq 1[/tex] generates the sequence.

Answer:

2:40 p.m.

Step-by-step explanation:

Answer:

#25 x=80

#26 x=100

#27 x=75

#28 x=90

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

6 / 1 / 4 =

6 x 4 =

24

Answer:

6 divided by 1/4 is 24

Step-by-step explanation:

Answer:

21 Oreos

Step-by-step explanation:

2 × 3 = 6

7 × 3 = 21

hope this helps

Answer:

219.347

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{3a - 4b - 6a + b}[/tex]

[tex]\large\textsf{COMBINE the LIKE TERMS}[/tex]

[tex]\large\text{\underline{(3a - 6a)} + (\bf -4b + b)}[/tex]

[tex]\large\text{\underline{3a - 6a = \bf -3a}}[/tex]

[tex]\large\text{\bf -4b + b = \bf \underline{-3b}}[/tex]

[tex]\large\text{= \bf -3a - 3b}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf -3a - 3b }}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Step-by-step explanation:

It is Graph B. We can do this by checking the points. The equation given is d = 5t^2, where d technically is the y-coordinate and t is the x-coordinate. On Graph B, two obvious points are (1, 5) and (2, 20). We can check these points to see if they fit the equation.

(1,5): d = 5t^2

5 = 5(1)^2

5 = 5*1

5 = 5, so this point is correct.

(2, 20): = d = 5t^2

20 = 5(2)^2

20 = 5*4

20 = 20, so this point is correct.

We know that Graph A is incorrect because it doesn't follow the equation. The line goes through (1, 5), which we already know is correct, (2, 10), (3, 15), and (4, 20). We already figured out that (2, 20) is correct so (2,10) can't be correct. (3, 15) and (4, 20) are also incorrect but in this case, we only need to find one incorrect coordinate to validate our answer. Thus, as Graph A is wrong, Graph B is right.

Answer:

.6

Step-by-step explanation:

-2.1-.6=-1.5 / -1 1/2

Answer:

504

6x84= 504

The picture is too big so you're not going to get the full explanation ok

Answer:

roubd it to 20 and you will get 679.90

Answer: A

Step-by-step explanation:

Answer:

6c^2 + c

Step-by-step explanation:

8^2 - 2c^2= 6c^2

6c-5c = c

Answer:

Step-by-step explanation:

Solution:

Given dimensions of the rectangular sheet

Length = 28 cm

Breadth =22 cm

If the sheet is rolled to form a cylinder then the length becomes height and breadth becomes circumference of the base of a cylinder.

So Height of the cylinder (h)= 28 cm

Circumference of the base of a cylinder

Answer: D

Step-by-step explanation:

Answer:

74046

Step-by-step explanation:

Permutations = [tex]_np_r=\frac{n!}{(n-r)!}[/tex]

where r = choice of things from a set ( in this case the 3 places ) so r = 3

and n = amount of things ( in this case the 43 people ) so n = 43

We then plug in the values of n and r in the permutations formula

[tex]\frac{43!}{(43-3)!} =74046[/tex]

Hence the answer is 74046

Answer:

94.8

Step-by-step explanation:

Aera is : length *width

75.2 = 0.8 * x then x =94

Perimeter is : length + width =94 +0.8

Answer:

(x – 3)^2+ (y +2)^2 = 36

Step-by-step explanation:

Given data

The formula for the equation of a circle is (x – h)2+ (y – k)2 = r^2,

where (h, k) represents the coordinates of the center of the circle

h=3

k=-2

r= 6

Substitute

(x – 3)^2+ (y – (-2))^2 = 6^2

(x – 3)^2+ (y +2)^2 = 36

Hence the expression for the equation of the circle is

(x – 3)^2+ (y +2)^2 = 36

Answer:

[tex]y=-\frac{3}{4} x+3[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+c[/tex]. where m is the slope of the line and c is where the line meets the y-axis.

From the graph:

[tex]c=3[/tex], we can clearly see that the line crosses the y-axis at (0,3)

Let's get two points from the graph to find m.

Point 1: (0,3)

Point 2: (4,0)

[tex]m = \frac{dy}{dx}[/tex], where dy is the difference in y and dx is the difference in x.

Therefore, we can put our points into that equation.

[tex]\frac{3-0}{0-4} = -\frac{3}{4}[/tex]

So, now we have m and c, we can rewrite the equation [tex]y=mx+c[/tex] with our values.

This gives us: [tex]y=-\frac{3}{4} x+3[/tex]

Answer:

10.5

Step-by-step explanation:

Find the two middle numbers, add them together and divide them by two if it is an even number. For odd numbers, your median will be the middle number.

Answer:not sure what u talking about

Step-by-step explanation:

Answer:

Since the ratios are constant, the sequence is geometric. The common ratio is –1. Since the ratios are constant, the sequence is geometric.

Answer:

y= - 2/3x + 3