Steven earns extra money babysitting. He charges $31.25 for 5 hours and $43.75 for 7 hours.
.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and
y represent the amount he charges.
The equation is y =?

Answers

Answer 1

Given:

Steven charges $31.25 for 5 hours and $43.75 for 7 hours.

To find:

The equation that represents the relationship.

Solution:

Let x represent the number of hours Steven babysits and y represent the amount he charges.

Then the two points on the function are (5,31.25) and (7,43.75). So, the equation of the line that passes through these two points is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-31.25=\dfrac{43.75-31.25}{7-5}(x-5)[/tex]

[tex]y-31.25=\dfrac{12.5}{2}(x-5)[/tex]

[tex]y-31.25=6.25(x-5)[/tex]

On further simplification, we get

[tex]y-31.25=6.25(x)-6.25(5)[/tex]

[tex]y-31.25=6.25x-31.25[/tex]

[tex]y=6.25x-31.25+31.25[/tex]

[tex]y=6.25x[/tex]

Therefore, the required equation for the given situation is [tex]y=6.25x[/tex].


Related Questions

Complete the table for the given rule.
Rule: y=x+3

Answers

Answer:

1

5

2

Step-by-step explanation:

4-3=1

8-3=5

5-3=2

Hope this helps! :)

Round to the nearest cent or whole number as needed. How many males had fatal car accidents last year if there were 1761 fatal car accidents and about 42% of the fatalities were male?

Answers

Answer:

740

Step-by-step explanation:

42% of 1761 = 0.42 * 1761 = 739.62

Answer: 740

Can someone help me? It's urgent and thank you!
Put either A,B,C,D,E in r= and also put A,B,C,D,E in the find the 6th term put whatever your answer's lead you too

Answers

number a is too low so we will work with c after all I put that and got it eight

Your answer is C. - 972

I found 3 by dividing 36 by 12. I hope the image is self- explanatory.

What is 16.99 times 0.80

Answers

Answer:

Hi, there your answer is 13.592

Step-by-step explanation:

Please give me the answer and tell me how you solved it

Answers

Answer:

6x-3

Step-by-step explanation:

that is the procedure above

Step-by-step explanation:

5+4X+2x-8

=6x-3

answer is third option

Find m 22 in the figure below.
95°
2
72°

Answers

Answer:

<2= 23°

Step-by-step explanation:

180°- 95°= 85°

(95° is on a straight line, angles on a straight line adds up to 180° so 95° is being subtracted from 180°. Therefore the next angle in the triangle will be 85°)

To find <2

180- (85°+ 72°)

(Angles on a triangle adds up to 180°)

180- 157

= 23

how to simplify (a+3b)+3(4a+b)

Answers

Answer:

13a + 6b

Step-by-step explanation:

Given

(a + 3b) + 3(4a + b) ← distribute parenthesis

= a + 3b + 12a + 3b ← collect like terms

= 13a + 6b

Answer: 13a+3b+18

Step-by-step explanation:

First distribute the 3 to 4a+b

Then you get 12a+18

Add 12a+18 with a+3b

can someone help me with this problem!

Answers

C. -1

Hope this helps! :)

______________

Answer:

-1

Step-by-step explanation:

Simplify the real and imaginary parts of the expression. That’s probably as simple as i can get it.

Hope this helps! :)

On the number line below, length
AB = [?]
A
В
16
45

Answers

Answer:

29

Step-by-step explanation:

45 - 16 =

WILL GIVE BRAINLIST


WRITE THE PHRASE AS A VARIABLE EXPRESSION. USE X TO REPRESENT “a number”



THE PRODUCT OF 4 AND A NUMBER

Answers

Answer:

x+14.  

Sum of a number and 14 is x+14.

 

Use the expression 5(6 + 4x) to answer the following:
Part A: Describe the two factors in this expression. (4 points)

Part B: How many terms are in each factor of this expression? (4 points)

Part C: What is the coefficient of the variable term? (2 points)

Answers

Answer:

6 and 4

Step-by-step explanation:

Answer:

Part A: 4 and x are factors of 4x

Part B: 6 and 4

Part C:  4

Step-by-step explanation:

Work out the size of angle X ?

Answers

Answer:

x = 121°

Step-by-step explanation:

∠ 1 + 115° = 180°

∠ 1 = 180 - 115

∠ 1 = 65°

∠ 2 + 304° = 360°

∠2 = 360 - 304

∠ 2 = 56°

∠ 1 + ∠ 2 + ∠ 3 = 180°

65° + 56 ° + ∠ 3 = 180°

∠3 = 180 - 65 - 56

∠ 3 = 59°

∠3 + x = 180°

59° + x = 180°

x = 180 - 59

x =  121 °

A runs 25% faster than B and is able to give him a start of 7 metres to end a race in dead heat. What is the length of race?

Answers

Answer:

35 metres

Step-by-step explanation:

The question states that A runs 25% faster than B. This means that, for every 1 second that B runs, A runs 1.25 second

Assuming that the total length of the race, that we're looking for, is D. Then we can say that B made a total distance of D-7 meters, and A runs D.

time taken by A = [tex]\frac{D}{1.25}[/tex]

time taken by B = [tex]\frac{D-7}{1}[/tex]

equating both together, we have

[tex]\frac{D}{1.25}[/tex] = [tex]\frac{D-7}{1}[/tex]

1.25D  - 8.75 = D

1.25D - D = 8.75

0.25D = 8.75

D = 8.75/0.25

D = 35

PLEASE HELP ME. this is due TONIGHT and i need this done so i have time for other assignments. thank you so much

explaining your answer = brainliest.

the area of this parallelogram is 504 square centimeters.

y = ___ cm

Answers

Answer:

28cm

Step-by-step explanation:

Area of a parallelogram equals the base length, which is y cm, multiplied by the height, which is 18cm.

So

Area= 504cm

y cm (base) x 18 cm (height) = 504cm^2 (area)

y cm = 504cm^2 / 18cm

y cm = 28cm

Answer:

28 cm

Step-by-step explanation:

Just use some good ol' algebra:

18y = 504

y = 28 cm

A parallelogram is basically a wonky rectangle, so it uses the same formula for area.

If a1 = 6 and an = 3 + 2(an-1), then a2 equals

no links

Answers

Answer:

15

Step-by-step explanation:

Given that a1 = 6

an =  3 + 2(an-1),

Substitute n = 2 into the formula

a2 = 3 + 2(a1)

a2 = 3 + 2(6)

a2 = 3+12

a2 = 15

Hence the second term of the sequence is 15

Find the value of x

Answers

Answer:

[tex]x=14[/tex]

Step-by-step explanation:

The given triangle is a right triangle, meaning it is a triangle with a right angle, this is indicated by the box around one of the angles. When given a right triangle, one can use the right triangle trigonometric ratios. These ratios describe the relationship between an angle in a right triangle, and the sides in a right triangle. Such ratios are as follows,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Bear in mind that the way one names the sides, in the sense of (opposite or adjacent) will change based on the angle one uses to describe the triangle. However, the hypotenuse is the same no matter the angle, as the hypotenuse is the side opposite the right angle.

In this case, one is given one of the angles, and the side opposite the angle. One is asked to find the hypotenuse of the triangle. One can use the sine (sin) ratio to achieve this.

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

Substitute,

[tex]sin(30)=\frac{7}{x}[/tex]

Inverse operations,

[tex]x=\frac{7}{sin(30)}[/tex]

Simplify,

[tex]x=14[/tex]

Calculate the area of triangle ABC with altitude CD, given A (−3, −4), B (−6, 2), C (0, 0), and D (−4, −2). (5 points)

Question 8 options:

1)

14 square units

2)

15 square units

3)

18 square units

4)

20 square units

Answers

Answer: 2) 15 square units

Step-by-step explanation:

The area of the triangle is 15 square units if the triangle ABC with altitude CD, given A (-3, -4), B (-6, 2), C (0, 0), and D (-4, -2) which is correct option (2)

What is the distance between two points?

The distance between two points is defined as the length of the line segment between two places represents their distance. Most significantly, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.

The formula of distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².

Given that a triangle ABC with altitude CD.

The coordinates for the triangle are A (-3, -4), B (-6, 2), C (0, 0), and D (-4, -2)

Given that the distance between C and D will be the height of the triangle

Since, the distance between the points by using the distance formula:

= √ (x₂ – x₁)² + (y₂ – y₁) ².

height = √ (-4 – 0)² + (-2 – 0) ²

height = √20

base = √45

Area of triangle = (1/2)base x height

Area of triangle = (1/2)√20×√45

Area of triangle = (1/2)30

Area of triangle = 15 square units

Hence, the area of the triangle is 15 square units if the triangle ABC with altitude CD

Learn more about distance between two points here:

https://brainly.com/question/15958176

#SPJ2

What is the length of bc in the right triangle below?

Answers

17

We use the formula a^2+b^2=c^2. In this case, we substitute 8 and 15 into a and b.

8^2+15^2=c^2
64+225=289
Because it has to be squared, we take the square root of 289 which gives us the final answer of 17.
17 is the answer you should use Pythagorean’s theorem like
H²=p²+b²
And keep value of p and b as 8 and 15 then solve it

Round 187.890 to the nearest 10 000

Answers

Answer:

190,000

190,000

190,000

Step-by-step explanation:

190,000

190,000

Use the function shown in the table to answer the questions below .

Answers

Answer:

a) -6

b) 3

c) Y = -6x + 3

Step-by-step explanation:

Pick two points and find rise/run = slope

rise y1 - y2 = 9 - 3 = 6

run x1 - x2 = -1 - 0 = -1

slope = 6 / -1 = -6

The y intercept is where x = 0 which is given in the table (0,3) so

y intercept = 3

Point slope form is y = mx + b , so

y = -6x + 3

Ms. Cortez was building doll houses to sell at a toy store. She had to spend $184 on tools before she could begin to work. Each doll house cast $17 to make. She planned to sell the doll houses for $29 each. How many doll houses did she need to sell to make a profit?

Answers

Answer:

A minimum of 16 dollhouses

Step-by-step explanation:

profit on each dollhouse= sp-cp= 29-17= $12

if we divide 184 by 12 we get abt 15.33, which means, she has to sell more than 15 Dollhouses to make a profit.

so the minimum number of dollhouses to be sold are 16

Find the range for the following list of values:
1, 2, 4, 7

Answers

1-7 so 6 is your range i think!

Answer:

below

Step-by-step explanation:

Rage =

highest value - lowest value

= 7 - 1

=6


Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

70

Step-by-step explanation:

the figure shown is a parallelogram with a base length of 10 ft and a height of 7 ft

the area of a parallelogram can simply be calculated by multiplying the base length by the height

hence, area = 7 * 10 = 70

Answer: 10 times 7

Step-by-step explanation: 10 times 7

Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE
A.) -2√8/7
B.) -√8
C.) √8
D.) 2√8/7

Answers

Answer:

D

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos x = -\frac{1}{3}\text{ where } \pi /2 \leq x \leq \pi[/tex]

And we want to find the value of tan(2x).

Note that since x is between π/2 and π, it is in QII.

In QII, cosine and tangent are negative and only sine is positive.

We can rewrite our expression as:

[tex]\displaystyle \tan(2x)=\frac{\sin(2x)}{\cos(2x)}[/tex]

Using double angle identities:

[tex]\displaystyle \tan(2x)=\frac{2\sin x\cos x}{\cos^2 x-\sin^2 x}[/tex]

Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(x) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:

[tex]\displaystyle o=\sqrt{3^2-1^2}=\sqrt{8}=2\sqrt{2}[/tex]

So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.

From the above information, substitute in appropriate values. And since x is in QII, cosine and tangent will be negative while sine will be positive. Hence:

[tex]\displaystyle \tan(2x)=\frac{2(2\sqrt{2}/3)(-1/3)}{(-1/3)^2-(2\sqrt{2}/3)^2}[/tex]

Simplify:

[tex]\displaystyle \tan(2x)=\frac{-4\sqrt{2}/9}{(1/9)-(8/9)}[/tex]

Evaluate:

[tex]\displaystyle \tan(2x)=\frac{-4\sqrt{2}/9}{-7/9} = \frac{4\sqrt{2}}{7}[/tex]

The final answer is positive, so we can eliminate A and B.

We can simplify D to:

[tex]\displaystyle \frac{2\sqrt{8}}{7}=\frac{2(2\sqrt{2}}{7}=\frac{4\sqrt{2}}{7}[/tex]

So, our answer is D.

How do I do this ? no links please

Answers

Ask your teacher. It’s the best help you can get because this doesn’t make any sense. To get your teachers help a quick email would do

Hey there!


ASSUMING….
-14.4 = -1.2m

-1.2m = -14.4

DIVIDE -1.2 to BOTH SIDES

-1.2m/-1.2 = -14.4/-1.2

SIMPLIFY IT!

m = -14.4/-1.2

m = 12


Therefore, the answer should be:

m = 12


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

What is the surface area of the cylinder with height 4 yd and radius 7 yd? Round your answer to the nearest thousandth.

Answers

Answer:

483.87yd^2

Step-by-step explanation:

Given data

Height= 4yd

Radius= 7yd

The expression for the surface area of a cylinder is given as

Surface area=  2πr (4+ 7)

Surface area= 2*π*7 (4 + 7)

Surface area = 14π (11)

Surface area= 154*3.142

Surface area= 483.87yd^2

Hence the surface area is 483.87yd^2

Someone I need help plzzz

Answers

Answer:

sorry this question is confusing

Step-by-step explanation:

Colin and Dan win some money and share it in the ratio 4:5. Colin gets £52. How much did they win in total?

Answers

Answer:

$65

Step-by-step explanation:

Collin gets 4x dollars which equals 52, so 4x = 52

Dan gets 5x dollars which equals y (the answer). solve for x = 13. 5 • 13 = 65.

Box A has 14 black pens and 6 blue pens box B has 9 black pens and 3 blue pens a pen is randomly chosen from each box list these events from least likely to most likely

Answers

Answer:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

Black - Black

Black - Blue

Blue - Black

Blue - Blue

Probability of each outcome:

Black-Black:

14 out of 20, and then 9 out of 12. So

[tex]P_{BkBk} = \frac{14}{20} \times {9}{12} = \frac{14*9}{20*12} = \frac{126}{240}[/tex]

Black-Blue:

14 out of 20, then 3 out of 12. So

[tex]P_{BkBl} = \frac{14}{20} \times {3}{12} = \frac{14*3}{20*12} = \frac{42}{240}[/tex]

Less likely than black-black.

Blue - Black:

6 out of 20, then 9 out of 12. SO

[tex]P_{BlBk} = \frac{6}{20} \times {9}{12} = \frac{6*9}{20*12} = \frac{54}{240}[/tex]

More likely than black-blue, less likely than black-black.

Blue - Blue

6 out of 20, then 3 out of 12

[tex]P_{BlBl} = \frac{6}{20} \times {3}{12} = \frac{6*3}{20*12} = \frac{18}{240}[/tex]

Least likely of the outcomes.

List these events from least likely to most likely:

The list of these events from least likely to most likely is Blue-Blue -> Black-Blue -> Blue-Black -> Black-Black

At a middle school, 30% of students buy lunch in the cafeteria and the remaining students bring lunch from home. A spinner with 10 equal-sized sections numbered 0-9 will be used to simulate the lunch trend. How can you design a simulation to guess whether the next 20 students buy lunch or bring lunch from home?
A:Assign the numbers 0–3 to represent students who buy lunch and the numbers 4–9 to represent students who bring lunch from home. Spin the spinner 20 times and count how many spins are between 0–3 and how many are between 4–9.
B:Assign the numbers 0–2 to represent students who buy lunch and the numbers 3–9 to represent students who bring lunch from home. Spin the spinner 10 times and count how many spins are between 0–1 and how many are between 4–6, then multiply the counts by 2.
C:Assign the numbers 0–2 to represent students who buy lunch and the numbers 3–9 to represent students who bring lunch from home. Spin the spinner 20 times and count how many spins are between 0–2 and how many are between 4–9.
D:Assign the numbers 0–3 to represent students who buy lunch and the numbers 4–9 to represent students who bring lunch from home. Spin the spinner 10 times and count how many spins are between 0–3 and how many are between 4–9.

Answers

Answer:

B

Step-by-step explanation:

I'm pretty confident that it is B

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