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son4ous [18]
3 years ago
11

The rectangle shown has a perimeter of 78 cm and the given area. Its length is 3 more than five times its width. Write and solve

a system of equations to find the dimensions of the rectangle.
Mathematics
1 answer:
Bad White [126]3 years ago
6 0

Answer:

So W is going to stand for width and L is going to stand for length.

L= 2W+6

78=2L + 2W

Those are the two equations you will use. So plug in L=2W+6 into the other one and solve.

78= 4W+12 +2W

(simplify)

78=6W+12

(-12 from both sides)

66=6W

(divide by 11)

W=11

Replug W into your equation to find L.

L=22+6

(simplify)

L=28

I hope this is right

Step-by-step explanation:

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Intercept at, y=0 and at x=0
-3(0)+5(y)=60
y=12 , z= 30, (y intercept) or (0,12,30)

-3(x)+5(0)=60
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5 0
3 years ago
There are seven children in the Arthur family, including one set of twins. The youngest child is 6 years old, and the oldest is
Snowcat [4.5K]
One is 6 years old, one is 16 as per the rules. Now we have 5 unknowns, of which either the twins can be both a part of, or one can be either 6 or 16 as well.

Since the mode is the most frequently occurring number, let's assume that 15 years old appears twice to make it so.

Now we have one 6 y.o, two 15 y.os, and one 16 y.o.

Out of 7 kids, the middle child has to be 10 years old to secure the median.

Now we just have two missing, and we need to figure out the mean. 6+15+15+10+16 is 62, dividing by 5 is 12.4 The mean is currently 12.4 years old. For the mean to be 11, the combined total has to be 77 (since 77/7 kids is 11 mean) 77-62 is 15. But to make sure the median stays 10, both of those kids have to be less than 10 but more than 6. Therefore, their ages must be 7 and 8.

Their ages are 6, 7, 8, 10, 15, 15, 16

Let's double check to make sure we have all the qualifications. 7 kids, check. Youngest 6, check. Oldest 16, check. Twins, check. Median of 10, check. Mode of 15, check. Average of 11, well 6+7+8+10+15+15+16 is 77, 77/7 is 11, so check. Phew.

5 0
3 years ago
Please help me anyone
dolphi86 [110]

Answer:

115

Step-by-step explanation:

When x = -11, x^2 = 121. y = 121 - 6 = 115.

Hope this helped,

~cloud

7 0
3 years ago
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M^2 × n^(-2) ........
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Which equation has no solution?
marissa [1.9K]

Answer: no soultions

Step-by-step explanation:

4 0
3 years ago
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