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KIM [24]
3 years ago
6

If 168 choclate chips weigh 5 1/4 how many chocalte chips are in an oz

Mathematics
1 answer:
Alenkasestr [34]3 years ago
3 0
There would be 32 Chocolate chips.
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the volume of the cone is 25.12cm cubed, and the area of the base is 12.56cm squared.what is the height
Lady bird [3.3K]

Height of the cone having volume as 25.12 \text { cm}^{3} and base area 12.56 \text { cm}^{2} is 6 cm.

Solution:

Given that volume of cone = 25.12 \text{ cm}^{3}

Area of base = 12.56 \text { cm}^{2}

Need to determine height of the cone.

Formula for volume of the cone is as follows

\mathrm{V}_{c}=\frac{1}{3} \pi r^{2}{h} \rightarrow (1)

Area of circular base of cone = A_{b}=\pi r^{2}

Replacing \pi r^{2} \text { by } A_{b} in equation (1), we get

\mathrm{V}_{\mathrm{c}}=\frac{1}{3} \mathrm{A}_{\mathrm{b}} \mathrm{h}

\Rightarrow \frac{3 \mathrm{V} c}{\mathrm{A}_{\mathrm{b}}}=h

\Rightarrow h=\frac{3 \mathrm{v} c}{\mathrm{A}_{\mathrm{b}}} \rightarrow (2)

In our case Volume of cone V_c= 21.12 \text{ cm}^3 and Area of base A_b=12.56 \text { cm}^2

On substituting the values of volume and area in equation 2 we get

h=\frac{3 \times 25.12}{12.56}=6 \text{ cm }

7 0
3 years ago
A city's current population is 1,000,000 people. It is growing at a rate of 3.5% per year. The equation P=1,000,000(1.035)^x mod
Sloan [31]
To determine the number of years to reach a certain number of population, we need an equation which would relate population and the number of years. For this problem, we use the given equation:

<span>P=1,000,000(1.035)^x

We substitute the population desired to be reached to the equation and evaluate the value of x.

</span>P=1,000,000(1.035)^x
1400000=1,000,000(1.035)^x
7/5 = 1.035^x
ln 7/5 = ln 1.035^x
x = ln 7/5 / ln 1.035
x = 9.78

Therefore, the number of years needed to reach a population of 1400000 with a starting population of 1000000 would be approximately 10 years.
5 0
4 years ago
I got a pic plz help​
tensa zangetsu [6.8K]

Answer:

For the first one, you get x<7.

For the second one, you get x >_ 11

Step-by-step explanation:

For the first one: -2x - 2 > -16

Step 1. Add 2 to both sides.

-2x - 2 +2 > -16 + 2

-2x > -14

Step 2. Divide both sides by -2 and switch the sign

-2x/-2 > -14/-2

x < 7

For the second one: 2x - 1 >_ 21

Step 1: Add 1 to both sides

2x -1 +1 >_ 21 + 1

2x >_ 22

Step 2: Divide both sides by 2

2x/2 >_ 22/2

x >_ 11

hope this helps!

3 0
3 years ago
Read 2 more answers
How do you write r2/3 t1/3 in radical form?
amid [387]

I hope this helps you

4 0
3 years ago
Moving left 5 units would be shown as 'x+5'<br> True<br> False
lawyer [7]

Answer:

true

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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