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romanna [79]
3 years ago
15

A 16- foot board is to be cut into two pieces so that one piece is 4 feet longer the the other. How long will the longer piece b

e?​
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0

Answer:

The longer piece will be 10 feet long.

Step-by-step explanation:

16 - 10 is 6

10 is 4 more than 6

therefore the longer piece will be 10 feet long

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–5(3 – q) + 4 = 5q – 11
mrs_skeptik [129]

Answer:

0

Step-by-step explanation:

–5(3 – q) + 4 = 5q – 11

-15 +5q + 4 = 5q -11

-11 + 5q = 5q - 11

+5q - 5q = -11 + 11

0=0

6 0
3 years ago
The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. Th
e-lub [12.9K]

Answer:

95% of monthly food expenditures are between $110 and $190.

Step-by-step explanation:

Given : The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20.

To find : Using the Empirical rule, about 95% of the monthly food expenditures are between which of the following two amounts?

Solution :

At 95% of the data is between two standard deviation to left and right of the mean is given by,

To the left side, \bar{x}-2\sigma

To the right side, \bar{x}+2\sigma

We have given,

The sample mean \bar{x}=\$150

The standard deviation \sigma=\$20

Substitute in the formula,

\bar{x}-2\sigma

=150-2(20)

=150-40

=110

\bar{x}+2\sigma

=150+2(20)

=150+40

=190

Therefore, 95% of monthly food expenditures are between $110 and $190.

6 0
3 years ago
What is the equation of a circle with a center (-2, 3) and a radius r = 5?
qwelly [4]
The formula for the equation of a circle is:
(x - h)^2 + (y - k)^2 = r^2

(h, k) is the center.

So the equation would be:
(x + 2)^2 + (y - 3)^2 = 5^2
or
(x + 2)^2 + (y - 3)^2 = 25
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8 0
3 years ago
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Solve for x.<br> 8 - 2x = 5(x - 4)<br> X = [?]<br> Enter
Oduvanchick [21]

Answer:

4

Step-by-step explanation:

8-2x=5(x-4)

8-2x=5x-20

28=7x

x=4

4 0
3 years ago
Read 2 more answers
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