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3 years ago

2+3w<-1<3w+5Answer please

Mathematics

1 answer:

Dafna1 [17]3 years ago

7 0

2 + 3w < -1 < 3w + 5 |subtract 3w from all sides

2 < -1 - 3w < 5 |add 1 to all sides

3 < -3w < 6 |change the signs

-3 > 3w > -6 |divide both sides by 3

-1 > w > -2 → -2 < w < -1 → w ∈ (-2, -1)

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3 years ago

Carrie started with 12 ounces of water when she began her walk. When she was finished walking she had 2 1/4 ounces of water left

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We are given with an initial value of water equal to 12 ounces of water and the final value of water is 2 1/4 or 2.25 ounces. Since the two substances are the same, we can use direct subtraction to determine what was consumed after walking. The answer is 12-2.25 equal to 9.75 ounces

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3 years ago

Read 2 more answers

A cylinder has a base diameter of 14m and a height of 10m. What is its volume in cubic m, to the nearest tenths place?

VARVARA [1.3K]

Answer:

1539 cubic meters

Step-by-step explanation:

Hello, I can help you with this

to solve need we will need these two equations

Step one

Remember

area of a circle

$Area=\pi *\frac{diameter^{2} }{4}\\$

Also, the volume of the cylinder

Volume= area of the circle * height

$Volume=\pi *\frac{diameter^{2} }{4} *height\\$

Step 2

put the values into the equation

Let

diameter= 14 m

height = 10 m

$Volume=\pi *\frac{diameter^{2} }{4} *height\\\\Volume=\pi *\frac{(14\ m)^{2} }{4} *10\ m \\\\Volume=\pi *49\ m^{2} *10\ m\\Volume=1539.38\ cubic\ meters$

I hope it helps,have a great day.

3 0

3 years ago

____× 105 is 3,000 times greater than 2.3 × 102 and is _____ times greater than 1.38 × 101.

musickatia [10]

For this case we must calculate the values of the unknowns.
We have then:
$x * 10 ^ 5$ is 3,000 times greater than $2.3 * 10 ^ 2$
We have the following equation:
$(x * 10 ^ 5) / (2.3 * 10 ^ 2) = 3000
$
From here, we clear the value of x:
$x = (10 ^ 2/10 ^ 5) * (2.3 * 3000)

x = 6.9$
Then, on the other hand we have:
"and is _____ times greater than 1.38 × 101"
That is, we have the following equation:
$(6.9 * 10 ^ 5) / (1.38 * 10 ^ 1) = y
$
The value of y is:
$y = 50000
$
Answer:
6.9 × 105 is 3,000 times greater than 2.3 × 102 and is 50000 times greater than 1.38 × 101.

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4 years ago