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Alina [70]
3 years ago
9

the perimeter of a basketball court is 102 meters, and length is 6 meters longer than twice the width, what r length and width.

what is width _m.
Mathematics
1 answer:
stepladder [879]3 years ago
7 0
Perimeter = 2(l + w)

Thus,

102 = 2(l + w)

l = 6 + 2w

102 = 2( 6 + 2w + w)
102 = 12 + 4w +2 w
102 = 12 + 6w
90 = 6w

Thus, w = 15.

Length = 6 + 2w
= 6 + 30
= 36.

Thus, the length is 36 meters and width is 15 meters.
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Please help with this, thanks
Readme [11.4K]

Answer:

BDC is half of mBC = 11°

Easily you see that C is A + BDC = 23°

Since C = 23° so mDC is twice = 46°

x

8 0
3 years ago
. Three types of shirts sold at a store cost $9.00, $11.00, and $12.50. One day, the store sells a total of 23 shirts and makes
lbvjy [14]

Answer:

X + 3y = 23

9x + 36y = 243

11 shirts sold at $9.0 per shirt, 4 shirts sold at $11 per shirt and 8 shirts sold at $12.5 per shirt

Step-by-step explanation:

-----Since we are told to assume that the number of shirts sold for $9.00 each is x, that of $11.00 is y and also that of $12.50 is z.

9x + 11y + 12.5z = 243

9x + 11y + 12.5(2y) = 243

9x + 36y = 243_______ equation 1

----- The statement also read that One day, the store sells a total of 23 shirts and makes $243 on the sales. TWICE AS MANY SHIRTS WERE SOLD FOR $12.50 THAN WERE SOLD FOR $11.00

Z = 2y

x + y + z = 23

X + y + 2y = 23

X + 3y = 23_____ equation 2

Now multiply the above by 9 to have this equation's "x" sharing the same coefficient with that of equation 1

9x + 27 = 207 will be the new one___equation 3

-----Subtract equation 3 from 1 and we have

9x + 36y = 243____ equation 1

9x + 27y = 207____ equation 3

9y = 36

Y = 4

-----Substitute y = 4 in equation 2

X + 3y = 23

X + 4(3) = 23

X + 12 = 23

X = 23 - 12

X = 11

-----Remember that x + y + z = 23

11 + 4 + z = 23

15 + z = 23

Z = 23 - 15

Z = 8.

So therefore, x =11 shirts, y = 4 shirts and z = 8 shirts

4 0
3 years ago
What number must be added to 15,-6, and 12 to have a mean of 5? Explain.
Genrish500 [490]

You need to add a -1

We can find this by setting up the equation like so

x + (-6) + 12 + 15 / 4 = 5

x + 21 = 20

x = 20 -21

x = -1

Now if we insert -1 where x is located in the equation, you will get a means of 5

3 0
3 years ago
If I put 4,736 marbles into groups of 10 how many groups would I have
quester [9]
4.736:10= \boxed{473.6 \approx 473 \ groups \ of \ ten}
6 0
3 years ago
Read 2 more answers
A local grocery story has strawberries on sale for $1.45 per pound. How much would it cost to buy 5.5 pounds of strawberries? Ro
myrzilka [38]

Answer: The cost of 5.5 pounds strawberries =$ 7.98

Step-by-step explanation:

Given: A local grocery story has strawberries on sale for $1.45 per pound.

i.e. Cost for 1 pound strawberries = $1.45

Now, Cost of 5.5 pounds strawberries =  5.5 x (Cost for 1 pound strawberries)

= $ (5.5 x  1.45)

= $ 7.975 ≈ $ 7.98   [ Round to the nearest penny]

Hence, the cost of 5.5 pounds strawberries =$ 7.98

5 0
2 years ago
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