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BabaBlast [244]

2 years ago

10

A restaurant uses 4 pounds of potatoes for a party of 12 people. If they are cooking potatoes for a party of 60 people, what sho

uld they do?

1 answer:

aleksley [76]2 years ago

7 0

Answer:

20 pounds

Step-by-step explanation:

potatoes for 12 people=4 pounds

potatoes for 60 people= x pounds

So, 60÷12=b x=4×b

60÷12=5 x=4×5

x=20

Answer= 20 pounds

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Use deductive reasoning to show that the following procedure always produces the number 6. Procedure: Pick a number. Add 4 to th

Flauer [41]

Answer:

procedure always produces 6

Step-by-step explanation:

Let 'n' be the unknown number

Add 4 to the number : n+4

multiply the sum by 3.

multiply the sum n+4 by 3

$3(n+4) is 3n+12$

Now subtract 6, so we subtract 6 from 3n+12

$3n+12-6=3n+6$

finally decrease the difference by the tripe of the original number

triple of original number is 3n

$3n+6-3n= 6$

so the procedure always produces 6

5 0

2 years ago

A Gardener makes a new circular flower bed. The bed is ten feet in diameter. Calculate the circumference and the area of the cir

aivan3 [116]

Answer:

The circumference is 31.42 and the area is 78.54

Step-by-step explanation:

For circumference you use the formula

C=2 r

R= radius and = 3.14

For area use the formula

A= r^2

I hope this helps

6 0

1 year ago

Select the correct answer.

slamgirl [31]

Answer:

The graphs are missing, but we can find the inequality for this problem:

She has $60.

The price of a T-shirt is $10, the price of a sweatshirt is $14.

If T is the number of T-shirts she buys, and S is the number of sweatshirts that she buys, we have:

T + S ≥ 5 (because she wants to buy at least 5 items)

T*$10 + S*$14 < $60 (because she wants to spend under $60)

Those two inequalities define the number of T-shirts and sweatshirts that she can buy.

5 0

2 years ago

Read 2 more answers

Drag and drop an answer to each box to correctly complete the explanation for deriving the formula for the volume of a sphere.

Advocard [28]

The volume of a sphere is given by:

$V= \frac{4}{3} \pi r^{3}$

So, we need to deduct this equation. We will walk through Calculus on the concept of a solid of revolution that is a solid figure that is obtained by rotating a plane curve around some straight line (the axis of revolution<span>) that lies on the same plane. We know from calculus that:

</span> $V=\pi \int_{a}^{b}[f(x)]^{2}dx$
<span>
Then, according to the concept of solid of revolution we are going to rotate a circumference shown in the figure, then:

</span> $x^{2}+y^{2}=r^{2}$
<span>
Isolationg y:

</span> $y= \sqrt{r^{2}-x^{2}}$ <span>

So,

</span> $f(x)=y=\sqrt{r^{2}-x^{2}}$ <span>

</span> $V=\pi \int_{a}^{b}[\sqrt{r^{2}-x^{2}}]^{2}dx$
<span>
</span> $V=\pi \int_{a}^{b}(r^{2}-x^{2})dx$ <span>

being -r and r the limits of this integral.

</span> $V=\pi \int_{-r}^{r}(r^{2}-x^{2})dx$
<span>
Solving:

</span> $V=\pi[r^{2}x-\frac{x^{3}}{3}]\right|_{-r}^{r}$

Finally:
<span>
</span> $V=\pi(r^{3}-\frac{r^{3}}{3})-\pi(-r^{3}+\frac{r^{3}}{3})= \frac{4}{3} \pi r^{3}$ <span>
</span><span>
</span>

5 0

2 years ago

Read 2 more answers

Convert into percentages 7/25

LekaFEV [45]

Answer:

28%

Step-by-step explanation:

<u>Divide the numerator by the denominator in order to convert this fraction into a decimal.</u>

7/25 = 0.28

<u>Multiply the decimal by 100 to convert into a whole number.</u>

.28 * 100 = 28

<u>7/25 converted into a percent is 28%.</u>

8 0

2 years ago