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polet [3.4K]
3 years ago
8

351x5 estimate the answer

Mathematics
1 answer:
Viktor [21]3 years ago
4 0
That's easy. For this problem take the 351 and round it down. Because when you estimate you have to either round down or up. So 351 will round down to 350. Then you just multiply! 350x5= 1750.
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XZ = 15 and the perimeter of XWZ is 50. What is the length of WZ?
Rom4ik [11]

Answer:

  17.5

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  perimeter = XZ +WZ +WX

The figure shows us WX = WZ, so we can rewrite the formula as ...

  perimeter = XZ +2·WZ

Filling in the given values, this becomes ...

  50 = 15 + 2·WZ

  35 = 2·WZ

  35/2 = WZ = 17.5

The length of WZ is 17.5 units.

6 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
HELP DUE IN 10 MINUTES!
vfiekz [6]

Answer:

68

Step-by-step explanation:

97.65 is roughly 100

68℅ of 100 is 68

so it's 68

5 0
3 years ago
Read 2 more answers
Determine whether the following series converge or diverge
Mars2501 [29]
An alternating series \sum\limits_n(-1)^na_n converges if |(-1)^na_n|=|a_n| is monotonic and a_n\to0 as n\to\infty. Here a_n=\dfrac1{\ln(n+1)}.

Let f(x)=\ln(x+1). Then f'(x)=\dfrac1{x+1}, which is positive for all x>-1, so \ln(x+1) is monotonically increasing for x>-1. This would mean \dfrac1{\ln(x+1)} must be a monotonically decreasing sequence over the same interval, and so must a_n.

Because a_n is monotonically increasing, but will still always be positive, it follows that a_n\to0 as n\to\infty.

So, \sum\limits_n(-1)^na_n converges.
5 0
3 years ago
A support cable runs from the top of the telephone pole to a point on the ground 40 feet from its base. If the cable makes an an
kirill [66]
Okay, so this is just a bunch of random information that's eying to trick you. The answer is in the question. "the telephone pole to a point on the ground 40 feet from its base."
8 0
3 years ago
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