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2 years ago

Rafael earns $35 more per week than Andrew. If their weekly salaries total $715, what amount does each earn?

Mathematics

1 answer:

jeyben [28]2 years ago

3 0

Answer:

Rafael earns $375

Andrew earns $340

Step-by-step explanation:

Here, we will set up a system of equations where r represents Rafael and a represents andrew.

r = a + 35

r + a = 715

Next, we substitute a + 35 for r in the second equation.

(a + 35) + a = 715 (combine like terms)

2a + 35 = 715 (subtract 35 from both sides)

2a = 680 (divide both sides by 2)

a = 340

To solve for r, we can plug 340 for a into either equation.

r = (340) + 35

r = 375

We can double check by plugging both values into the other equation.

375 + 340 = 715 (yes, it works!)

Brainliest, please :)

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3 years ago

A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the

vovangra [49]

Answer: (A) $A=300l-l^{2}$

(B) Length varies between 1 and 150

Step-by-step explanation: Suppose length is l and width is w.

The rectangular garden has perimeter of 600ft, which is mathematically represented as

$2l+2w=600$

Area of a rectangle is calculated as

$A=lw$

Now, we have a system of equations:

$2l+2w=600$

$A=lw$

Isolate w, so we have l:

$2w=600-2l$

w = 300 - l

Substitute in the area equation:

A = l(300 - l)

A = 300l - l²

(A) Function of area in terms of length is given by A = 300l - l²

(B) The practical domain for this function is values between 1 and 150.

(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:

A' = 300 - 2l

Find the values of l when A'=0:

300 - 2l = 0

2l = 300

l = 150

Replace l in the equation:

w = 300 - 150

w = 150

Now, calculate the largest area:

A = 150*150

A = 22500

The largest area the fence can enclose is 22500ft².

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3 years ago

If multiplying by 1/4 makes a positive number smaller then what does dividing by 1/4 do to the value of the number? Explain your

Free_Kalibri [48]

Hello,

If multiplying by 1/4 makes a positive number smaller then dividing by 1/4 makes the number its being dividing to see how many times 1/4 can be put into that number. For Example,

2 / 1/4 = 8

1/4 can go into 2 eight times!

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3 years ago

63. 26 Which expressions are equal to 23 ? 123 126 26 . 33 23 33

liubo4ka [24]

Hey there!

(6^3 * 2^6) / 2^3

= (6 * 6 * 6 * 2 * 2 * 2 * 2 * 2 * 2) / 2 * 2 * 2

= (36 * 6 * 4 * 4 * 4) / 4 * 2

= (216 * 16 * 4) / 8
= 3,456 * 4 / 8

= 13,824 / 8

= 1,728

Looking for something that gives you the result of: 1,728

Option A.
12^3

= 12 * 12 * 12

= 144 * 12

= 1,728

Option A. is. possible answer

Option B.
6^3

= 6 * 6 * 6

= 36 * 6

= 216

216 ≠ 1,728

Option B. is incorrect

Option C.
12^6

= 12 * 12 * 12 * 12 * 12 * 12

= 144 * 144 * 144

= 20,736 * 144

= 2,985,984

2,985,984 ≠ 1,728

Option C. is also incorrect

Option D.
2^6 * 2^3

= 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

= 4 * 4 * 4 * 4 * 2

= 16 * 16 * 2

= 256 * 2

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512 ≠ 1,728

Option D. is also incorrect

Option E.
2^3 * 3^3

= 2 * 2 * 2 * 3 * 3 * 3

= 4 * 2 * 9 * 3

= 8 * 27

= 216

216 ≠ 1,728

Option E. is also incorrect.

Therefore, the answer should be:

Option A. 12^3

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

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Sam has 3780 more yards to travel 3 miles.

This means he needs to do 15.12 more laps around the rink. Or 16 if you are rounding.

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3 years ago

Read 2 more answers