7 Anton has some money saved for school. To increase the amount he has
saved, he got a job and added all the money earned to the amount already
saved.
I
• Anton was paid a constant rate in dollars per hour at his job.
• After working 10 hours, the amount he had saved was $450.
• After working 20 hours, the amount he had saved was $600.
Anton did not save any other money or spend any of the money he
had saved.
Which equation represents y, the amount of money in dollars Anton would
have saved after working x hours?
Select one answer.
Section 4
A y = 10x + 150
B y = 15x + 100
C y = 15x + 300

7 Anton Has Some Money Saved For School. To Increase The Amount He Hassaved, He Got A Job And Added All

Answers

Answer 1

The linear function that represents the amount of money in dollars Anton would have saved is given by:

C y = 15x + 300

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Taking the amounts from 10 and 20 hours, it is found that in 10 hours he saves $150, hence the slope is given by:

m = 150/10 = 15.

Considering that after working 10 hours, the amount he had saved was $450, and he saves $150 in 10 hours, his initial amount was given by:

b = 450 - 150 = 300.

Thus, the equation is given by:

y = 15x + 300.

Which means that option C is correct.

More can be learned about linear functions at https://brainly.com/question/24808124


Related Questions

Find the median, first quartile, third quartile, and interquartile range of the data.

84,75,90,87,99,91,85,88,76,92,94
median:

first quartile:

third quartile:

interquartile range:
am confused :/

Answers

Answer:

Median: 88, First Quartile: 84, Third Quartile: 92, IQR (interquartile range): 8

Step-by-step explanation:

1. Sort the numbers in numerical order (like 1, 2, 3, etc.)

2. Find the number that is in the middle

3. Find all the quartiles by finding the median of the lower and upper halves of the list

4. Subtract Q1 (quartile 1) and Q3 (quartile 3) like this: Q3 - Q1 to get IQR

Find the volume of given prism.​

Answers

Answer:

345 [tex]cm^{3}[/tex]

Step-by-step explanation:

The volume of 2 rectangular boxes :
7 × 5 × 3 + 5 × 7 × 3 = 210 [tex]cm^{3}[/tex]
The volume of given prism
210 + [(10 - 7 ) × 3 × (5 × 3) ]= 345 [tex]cm^{3}[/tex]

345 cm cubed!!!!!!!

D
(3x + 4y)(9x" - 12xy + 16y')
Which polynomial equation is a valid identity?
-)))
A)
(6xy)2 – (2xy)2 = 4x?y?(3x + 1)
B)
(6xy2,2 – (2xy)2 = 4x?y(3x + 1)(3y - 1)
=
(6xy3)2 – (2xy)2 = 4x?y?(3y + 1)(3y - 1)

Answers

Answer:c

Step-by-step explanation:

Sitting in your sailboat looking at the horizon, you see a lighthouse 500 feet away. Looking up at a 20*, you see the light at the top of the lighthouse. How far off the ground is the light in the lighthouse? Round your answer to the nearest tenth.

Answers

Answer:

i think its 100feet away when u look 20°

what is the equation of the line that passes through the point (-2,-8) and has the slope of 1

Answers

Answer:

y=x-6

Step-by-step explanation:

What is the surface area?
15 cm
12 cm
15 cm
18 cm
21 cm
Triangular Prism

Answers

Answer:

949

Step-by-step explanation:

just take ahalf times base times height then multiply by 4 to get the two sides then multiply the base rectangle then multiply the side rectangle and multiply ut by two and add to get the answer

- 1 10. If it takes four moving trucks to move 48
boxes, how many trucks are needed to
move 840 boxes?

Answers

Answer:

210

Step-by-step explanation:

48/4=12

840/48=17.5

12*17.5=210

210*4=840

Find value of a and b. ​

Answers

Answer:

a = 65

b = 65

Step-by-step explanation:

a = 65 becasue of corresponding angles.

a and b are opposite angles of a parallelogram.

b = a = 65

Answer:

a=65° b=65°

Step-by-step explanation:

from the diagram,

b=65° (alternative angles are equal)

a=65° (corresponding angles are equal)

Find the value of x.
x=?​
please hurry I will mark brainliest if correct!

Answers

Answer: 45

Step-by-step explanation:

A right isosceles triangle can only ever have two equal sides, since he sum of the three angles of any triangle is equal to 180 degrees, do the quick math of 180 - 90 = 90, then 90/2 = 45. Both remaining angles of the triangle are 45 degrees, including x, and when you add all angles together 90 + 45 + 45 it equals 180 degrees.

Express the ratio below in its simplest form
2.5 : 3.5

Answers

Answer:

5 : 7

Step-by-step explanation:

Assuming simplest form means in whole numbers, to find the ratio in simplest form, just multiply both sides by the same value until they are both whole numbers. So 2.5 : 3.5 = 2.5 * 2 : 3.5 * 2 = 5 : 7

Answer:

5:7

Step-by-step explanation:

The simplest form of 2.5 : 3.5 is 5:7 because 2.5 x 2 = 5 and 3.5 x 2 = 7


Solve for the exponential for x

Answers

Answer:

x = 1

Step-by-step explanation:

[tex] {7}^{(4x - 6)} = \frac{1}{49} \\ \\ \implies {7}^{(4x - 6)} = \frac{1}{ {7}^{2} } \\ \\ \implies {7}^{(4x - 6)} = {7}^{ - 2} \\ \\ \implies \: 4x - 6 = - 2 \\ \\ \implies \: 4x = 6 - 2 \\ \\ \implies \: 4x = 4 \\ \\ \implies \: x = \frac{4}{4} \\ \\ \implies \: x = 1[/tex]

Answer:

x = 1

Step-by-step explanation:

Using Definition of Logarithm

7 ^(4x−6) = 1/49

​Use the rules of exponents and logarithms to solve the equation.

7 ^(4x−6) = 1/49

​Take the logarithm of both sides of the equation.

log(7^4x-6) = log(1/49)

The logarithm of a number raised to a power is the power times the logarithm of the number.

(4x-6)log(7) = log(1/49)

Divide both sides by log(7).

4x-6 = log(1/49)/log(7)

​By the change-of-base formula log(a)/log(b) = log(small b under) (a).

4x-6 = log(small 7 under) (1/49)

Add 6 to both sides of the equation.

4x=−2−(−6)

Divide both sides by 4.

x = 4/4 which is the same as x = 1

b) In a survey among 65 people about their favourite fruits, it was found that the number of people who like mango is twice the number of people who like orange. If 10 people like both fruits and 15 do not like any of them, using Venn diagram find the number of people who like (i) Mango only, (i) Orange . ככה swer 10​

Answers

Answer:

i}. Mango only (no(M))=30

ii}.Orange (n(O))= 20

The second angle of a triangle is 52 more than the first angle. The third angle is two times the first. Find the three angles.

Answers

Answer:

The third angle is 104

Step-by-step explanation:

their for first angle is x and second angle of a triangle is 52 more than the first angle x×52 and again The third angle is two times the first and x=52×2×= 104

(100 POINTS AND BRAINLIEST) Please use the answers that are given. Using the following data, calculate the mean absolute deviation
What is the mean absolute deviation for these data? DATA:
1 6 5 8 3 7 1 4 10 9

A: 9
B: 5.4
C: 5
D: 2.6

Answers

Answer:

2.42

Step-by-step explanation:

First, we need to find the mean

Add up all the number

1+6+5+8+3+7+1+4+10+9 = 54

Count up all the numbers (found in data)

10

Then, divide

54/10 = 5.4

Then find the absolute difference between each point and the mean and sum them together  and divide by the number of points

((5.4-1)+(5.4-6)+(5.4-5)+(8-5.4)+(5.4-3)+(7-5.4)+(5.4-1)+(5.4-4)+(10-5.4)+(5.3-9)) ÷ 10

24.2 ÷ 10 = 2.42

2.42

Answer:

2.42

Step-by-step explanation:

all included in the picture​

Answers

Answer:

(-4,3)

Step-by-step explanation:

Answer:

Option 1 :  (-4,3)

Step-by-step explanation:

When doing coordinates we always go across first the up or down.

Since it goes 4 to the left, our x coordinate is -4 and since it goes 3 up, our y coordinate is 3.

Therefore our answer must be (-4,3)

Use the calculator to find the product. (9.1 × 109)(7.5 × 102) what is the exponent of the power in scientific notation?

Answers

Answer:= The exponent is 12

Step-by-step explanation:(9.1 × 10^9)(7.5 × 10^2)

When multiplying terms in scientific notation, we multiply the numbers in front and add the exponents

(a* 10^b) (c* 10^d) = ac * 10^(b+d)

(9.1 × 10^9)(7.5 × 10^2) = (9.1*7.5) * 10^(9+2)

                                                =68.25 * 10^11

But this is not proper scientific notation.  We can only have 1 number in front of the decimal.  We need to move the decimal 1 place to the right.  That adds 1 to the exponent.

=68.25 * 10^11  = 6.825 * 10^(11+1)

                           = 6.825 * 10^12

The exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12

How does scientific notations work?

The number is written in the form [tex]a \times 10^b[/tex] where we have [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representationIts value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

Expressing the multiplication of (9.1 × 10^9)(7.5 × 10^2) in terms of scientific notation, we get:

[tex](9.1 0\times 10^9)(7.5 \times 10^2) = 9100000000 \times 750 = 6825000000000\\(9.1 0\times 10^9)(7.5 \times 10^2) = 6.825 \times 10^{12}[/tex](the exponent is 12)

Thus, the exponent of the power in the scientific notation of the result of the expression (9.1 × 10^9)(7.5 × 10^2) is 12

Learn more about scientific notation here:

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El maestro de matemáticas mostró una figura cuya área está representada por la siguiente expresión x² - 5x 6 = 0. ¿Cuánto miden los lados de la figura?

Answers

Answer:

x≈5

Step-by-step explanation:

x^2-5x6=0

x^2-30=0

x^2-30+30=30+0

x^2=30

x≈5

A parallelogram has an area of 10square feet.
a.Complete the table that shows the relationship between the dilated area ( ) and
the scale factor ( y).

Answers

All answers are listed below:

For A = 0 ft², the scale factor is 0.For A = 40 ft², the scale factor is 2.For A = 160 ft², the scale factor is 4.For A = 360 ft², the scale factor is 6.For A = 640 ft², the scale factor is 8.

How to determine the dilated area of a parallelogram

The area of the parallelogram (A), in square feet, is equal to the product of the base (b) and the height (h), both in feet. By applying the rigid transformation of dilation on each side, we have the following formula:

A = k² · b · h   (1)

Where k is the scale factor.

And we can derive a scale factor by comparing two areas:

[tex]k = \sqrt{\frac{A}{A_{o}} }[/tex]   (2)

Where [tex]A_{o}[/tex] is the original area, in square feet.

If we know that [tex]A_{o} = 10\,ft^{2}[/tex], then the scales factors are shown below:

For A = 0 ft², the scale factor is 0.

For A = 40 ft², the scale factor is 2.

For A = 160 ft², the scale factor is 4.

For A = 360 ft², the scale factor is 6.

For A = 640 ft², the scale factor is 8.

To learn more on scale factors, we kindly invite to check this verified question: https://brainly.com/question/22312172

dilated area in square feet (x) scale factor (y)

0 0

40 2

160 4

340 6

640 8

Find the area of the figure.
8 ft
10 ft
O a
Ob
80.0.42
105.1.12
50.3.12
25.3.12
С
8 .
d

Answers

Answer:

b because you add the 8 by 2 because 10 is too long and 8 is perfect size

help me pleaseeeeeeeeee ​

Answers

Answer:

2x - y = - 13

Step-by-step explanation:

y - 5 = 2(x + 4) ← distribute parenthesis by 2

y - 5 = 2x + 8 ( add 5 to both sides )

y = 2x + 13 ( subtract 2x from both sides )

- 2x + y = 13 ( multiply through by - 1 )

2x - y = - 13

graph the function y=x-10

Answers

Use Desmos, it is a great graphing calculator to help you with stuff like this!

15 times a number plus 42 is greater than 7



please help!

Answers

Answer: equation would be 15x+42>7

Step-by-step explanation: first subtract 42 from 7, you would get -35, then divide -35 by 15, which gets you -2.3, meaning your answer is x>-2.3

Find the volume of the rectangular prism below.

Answers

Answer:

The answer is 4,224

Step-by-step explanation:

hope this helpss

The answer would be 4,224.
All you have to do is multiply the numbers.
16x22x12=4,224

Find the volume in the cube of centimeters of rectangle prisms - PLSS HELPP AND HURRY PLS

Answers

Answer:

120

Step-by-step explanation:

V = lwh

l= 6

h= 4

w= 5

v= 5.4.6

= 120

The ratio of red to yellow counters is 2:3 There are 20 counters in total. How many counters of each colour are there? You can colour the counters to help you. please help me ​

Answers

red counters: (2/5) x 20 = 8 red counters

yellow : (3/5) x 20 = 12 yellow counters
OR
20–8 = 12 yellow counters

Answer:

2:3 = 5

Red counters

2÷5×20

= 8

- therefore there are 8 Red counters

Yellow counters

3÷5×20

= 12

-therefore there are 12 yellow counters

Enola owns a small business selling ice-cream. She knows
customers paid cash, 76 customers used a debit card, and 10 customers used a credit
card. .
Based on these results, express the probability that the next customer will pay with
something other than a credit card as a decimal to the nearest hundredth.

Answers

the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.

To calculate the probability that the next customer will pay with something other than a credit card, we need to know the total number of customers who paid cash or used a debit card.

The total number of customers who paid cash or used a debit card is the sum of the customers who paid cash and those who used a debit card:

Total customers who paid cash or used a debit card = customers who paid cash + customers who used a debit card = 76 + 10 = 86

Therefore, the probability that the next customer will pay with something other than a credit card is:

P = Total customers who paid cash or used a debit card / Total number of customers

P = 86 / (76 + 10 + 1) (adding 1 to account for the next customer)

P = 0.93

So the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth is 0.93.

Learn more about probability here

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1. Lin says that the inequalities h > 150 and h < 160 describe her height in centimeters. What do the inequalities tell us about her height? 2. Andre notices that he is a little taller than Lin but is shorter than their math teacher, who is 164 centimeters tall. Write two inequalities to describe Andre’s height. Let a be Andre’s height in centimeters. 3. Select all heights that could be Andre’s height in centimeters. If you get stuck, consider drawing a number line to help you a) 150 b) 154.5 c) 160 d) 162.5 e) 164

Answers

Answer

Lin says that the inequalities h > 150 and h < 160 describe her height in centimeters. What do the inequalities tell us about her height? Lin is greater than 160 cm. Lin is less than 150 cm.

Step-by-step explanation:

no step by step explanation

does that help??

The height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

1) We have inequalities h > 150 and h < 160 for Lin height.

The height of the Lin varies between 150 cm to 160 cm because:

h ∈ (150, 160)

2) Let's suppose the height of the Andre is h' and let h is the height of the Lin, then inequality becomes:

h < h' < 164

3) As the inequality for the Lin height: h > 150 and h < 160 or

h ∈ (150, 160)

And h < 164

So from the above restrictions Andre's height could be 154.5, 160, and 162.5 in centimeters.

Thus, the height for the Lin h ∈ (150, 160), and inequality for the Andre's height h < h' < 164, and Andre's height could be b) 154.5 c) 160 d) 162.5 in centimeters.

Learn more about the inequality here:

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A circle is drawn inside a square.
20 cm
The square has a height of 20 cm.
Work out the shaded area.
Give your answer in terms of T.

Answers

The answer’s pretty simple

So basically first you have to find the area of both the square and the circle which is 400 cm^2 and 100pi cm^2 respectively.

Then we subtract the area of circle from the square
So that becomes 400 - 100pi
Taking 100 common, 100(4 - pi)

Now this is for the 4 remaining corners

To get the area of the shaded region, divide the remaining area by 4

Now we get 25(4 - pi)

That’s your answer

John went to his local zoo where 50% of it's exhibits featured whales. if the zoo feature 24 exhibits in total, then how many zoo's exhibits feature whales?round your answe to the nearest whole number.

Answers

Answer:

12

Step-by-step explanation:

if 50% of it's exhibits feature whales, and they have 24 exhibits, then the answer would be 12. Remember, 50% means one half, and one half of 24 is 12. There is no need to round to a whole number because 24 is not an odd number.

If I gallon = 4 quarts, how many gallons are equal to 108 quarts? Explain Your Answer.​

Answers

Answer:

27

Step-by-step explanation:

108 ÷ 4 = 27

proportion

if 1/x = 4/108

4x = 108

x = 108/4

x = 27

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