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Ilya [14]
2 years ago
11

Please help me!

Mathematics
1 answer:
rewona [7]2 years ago
6 0

Answer:

12(j+t) + 15 = c

Step-by-step explanation:

So, lets go over what we know.

First off, for simplicity, lets consider Johnathan as J, and Trina as T.

We know that both J and T produce 12 dollars each per hour.

We know that J gets a extra 15 dollars.

We can think of the amount they produce each hour as the time they work in total, times the money they make a hour, which is 12.

We can think of this first part where the total time they work is (J + T)

The 12 dollars they get an hour can be though of as multiplying this sum: 12(J+T)

Finally, we know that J gets an extra 15 dollars.

This is not dependent on time, like the other variables, so we simply add it to the sum of what they make in the end:

12(J+T)+15

This looks like answer C.

Answer:

C

Hope this helps!

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Lex is at the mall, which is 8 miles from his house. Lex walks home at a constant rate of 2 miles an hour.
egoroff_w [7]
Y = -2x + 8 <=== this would be ur equation where x is the number of hrs and y is the total distance (in miles) from home
6 0
3 years ago
Solve: 8.2 = 3.4 + d d = _____
Alinara [238K]

Answer:

4.8

Step-by-step explanation:

You just subtract to solve for d so,

8.2 = 3.4 + d

-3.4   -3.4

4.8 = d

8 0
3 years ago
A roller coaster starts from a deck at an elevation of 20 feet above the ground. On the first hill it climbs 78 feet and then dr
QveST [7]

Answer:

14 feet below. the deck.

Step-by-step explanation:

That would be (20 + 78 - 85 +103 - 110 )  feet above the ground

= 6 feet above the ground.

That is 20 - 6 = 14 feet below the deck.

7 0
3 years ago
From 1960 to 1980 , the consumer price index (cpi) increased from 29.6 to 82.4. If a frozen chicken pie cost $0.28 in 1960 and t
mojhsa [17]

CPI in 1960 = 29.6

CPI in 1980 = 82.4

Growth (%) in CPI = \frac{\text{CPI in 1980 - CPI in 1960}}{\text{CPI in 1960}} × 100

⇒ Growth (%) in CPI = \frac{82.4-29.6}{29.6} × 100

⇒ Growth (%) in CPI = 178.3783.. %

⇒ Growth (%) in CPI = 178.4%

Now, we know that price of frozen chicken pie in 1960 = $0.28

Also, we know that over 1960 to 1980, frozen chicken pie price grew at the same rate as CPI

Hence, Price of Chicken Pie in 1980 = Price of Chicken Pie in 1960 × (1 + Growth in CPI)

⇒ Price of Chicken Pie in 1980 = 0.28 × (1 + 178.4%)

⇒ Price of Chicken Pie in 1980 = 0.28 + (0.28 × 178.4%)

⇒ Price of Chicken Pie in 1980 = 0.28 + 0.49952

⇒ Price of Chicken Pie in 1980 = 0.28 + 0.50

⇒ Price of Chicken Pie in 1980 = $0.78

Hence, price of chicken pie in 1980 would be ~$0.78

8 0
3 years ago
Read 2 more answers
Given that x and y are positive integers, solve the equation x² - 4y² = 13​
zvonat [6]
<h3>Answer:  x = 7 and y = 3</h3>

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

Explanation:

Apply the difference of squares rule

x² - 4y² = 13

x² - (2y)² = 13

(x - 2y)(x + 2y) = 13

Since x and y are positive integers, this means x-2y and x+2y are both integers as well.

The value 13 is prime. Its only factors are 1 and 13

Since the above equation shows 13 factoring into x-2y and x+2y, then we have two cases:

  • A) x-2y = 1 and x+2y = 13
  • B) x-2y = 13 and x+2y = 1

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

Let's consider case A

We have this system of equations

\begin{cases}x-2y = 1\\x+2y = 13\end{cases}

Add the equations straight down

  • x+x becomes 2x
  • -2y+2y becomes 0y = 0 which goes away
  • 1+13 becomes 14

Therefore we have 2x = 14 solve to x = 7

From here, plug this into either equation to solve for y

x-2y = 1

7 - 2y = 1

-2y = 1-7

-2y = -6

y = -6/(-2)

y = 3

You should get the same result if you used x+2y = 13

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

Since we've found that x = 7 and y = 3, notice how case B is not possible

Example:  x-2y = 13 becomes 7-2(3) = 13 which is false.

Also, x+2y = 1 would turn into 7+2(3) = 1 which is also false.

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

Let's check those x and y values in the original equation

x² - 4y² = 13

7² - 4*(3)² = 13

49 - 4(9) = 13

49 - 36 = 13

13 = 13

The answer is confirmed.

4 0
2 years ago
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