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sladkih [1.3K]
3 years ago
11

Pls help w explanation!!

Mathematics
1 answer:
Rama09 [41]3 years ago
8 0

Answer:

A is the Answer

Step-by-step explanation:

Since the population is being split up into 2 divisions out of 5,000.

This means District X and Y must add up 5000.

x + y = 5000

District X and Y must differ no more than 500 people.

So this means that X and Y total people difference cannot be over 500 people. So the equation for this is

x - y \leqslant 500

A shows this so A is the answer.

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Kristen has 64 coins in her bank. She has $9.25 in dimes and quarters. How many dimes and quarters does she have?
Stella [2.4K]
D= # of dimes
q= # of quarters

QUANTITY EQUATION:
d + q= 64

COST EQUATION:
0.10d + 0.25q= $9.25


STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2

(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40


STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q

Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40

0.15q= 2.85
divide both sides by 0.15

q= 19 quarters


STEP 3:
substitute q value in step 2 into either original equation to find d value

d + q= 64

d + 19= 64
subtract 19 from both sides

d= 45 dimes


CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25


ANSWER: There are 45 dimes and 19 quarters.

Hope this helps! :)
7 0
3 years ago
Randys garden has 3 rows of carrot with 3 plants in each row. next year he plans to plant 4 times the number of rows of 3 plants
Gnesinka [82]
He will have 36 plants next year. 
hope that helped! :)
5 0
3 years ago
What is the slope of the equation 3x + 5y = -20
saul85 [17]

you would add 3y+5y and get 8y=-20

then the slope would be 8/1 and your y-intercept would be -20

3 0
3 years ago
Read 2 more answers
Use the quadratic formula to find the solutions to the
nadezda [96]

Answer:

D

Step-by-step explanation:

The quadratic formula:

\frac{-b\pm \sqrt{b^2-4ac}}{2a}

where a is the coefficient of x^2, b being the coefficient of x and c being the constant.

Plug in the values:

\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\cdot \:5}}{2\cdot \:2}

\frac{5\pm\sqrt{-15} }{4}

Since \sqrt{-15} =\sqrt{-1} \sqrt{15} =i \sqrt{15}

The answer is:

\frac{5\pm i \sqrt{15} }{4}

6 0
3 years ago
Read 2 more answers
In a right triangle, the legs have lengths of 8 and 15. What is the perimeter of this triangle?
den301095 [7]

Answer:

40

Step-by-step explanation:

Use Pythagorean Theorem to find the 3rd side, which will be 17. Then add all of the sides and you'll get the answer.

7 0
3 years ago
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