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3 years ago

If a puppet requires 3/4 yard of material, how many puppets can be made from 9 yards of material?

Mathematics

2 answers:

Readme [11.4K]3 years ago

7 0

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klasskru [66]3 years ago

5 0

First find out how many times 3/4 yard goes into 9. 3/4 fits into 9 twelve times, so twelve puppets can be made.

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Shawna and her best friend Keisha go shopping.

amid [387]

Answer:

138

Step-by-step explanation:

p(x) = 3x^4 + 2x^3 − 4x^2 + 21

Let x = 2

p(2) = 3*(2)^4 + 2*(2)^3 − 4*(2)^2 + 21

= 3*16+2*8-4*4+21

=48+16-16+21

= 69

This is per girl

There are 2 girls

2 * 69

138

4 0

2 years ago

At an effective annual interest rate of i > 0, each of the following two sets of payments has present value K: (i) A payment

IgorLugansk [536]

Answer:

The present value of K is, $K=251.35$

Step-by-step explanation:

First of all, we need to construct an equation system, so

$(1)K=\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}$

$(2)K=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}}$

Then we equalize both of them so we can find $i$

$(3)\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}}$

To solve it we can multiply $(3)*(1+i)^{4}$ to obtain $(1+i)^{4}*(\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}})$ , then we have $225(1+i)^{2}+225=169(1+i)^{3}+169(1+i)^{2}$ .

This leads to a third-grade polynomial $169i^{3}+451i^{2}+395i-112=0$ , after computing this expression, we find only one real root $i=0.2224$ .

Finally, we replace it in (1) or (2), let's do it in (1) $K=\frac{169}{(1+0.2224)} +\frac{169}{(1+0.2224)^{2}}\\\\K=251.35$

8 0

3 years ago

Sam said shape A has a uniform cross section. Lloyd said shape B has a uniform cross section. Who is correct? Explain your answe

STatiana [176]

Answer:

Sam is right. shape A which is cylinder has uniform cross section.

Explanation:

what is uniform cross section?

uniform cross section is when cut through an object and the bases are similar.

solution:

For cylinder:

when we cut a cylinder, its in a circle shaped and have similar bases - thus have uniform cross section.

For pyramid:

when we cut a pyramid it is in rectangle shape and this changes as we go up or down the pyramid and does not have uniform cross section.

4 0

2 years ago

Read 2 more answers

Lauren owes her friend $32.50 for a concert ticket. She doesn’t have the cash now, but she’ll earn it babysitting this weekend.

lana [24]

Answer:

y=8x-32.5

Step-by-step explanation:

8 dollars an hours = slope

-32.5 owed = y-intercept

6 0

3 years ago

In triangle ABC, side AB has a length of 8 cm and side BC has a length of 5 cm. If the triangle has an area of 10 square centime

Vesna [10]

Recall the following formula:

Given a triangle with side lengths a, b, and c. Let the measure of the angle between sides of length a and c be B.

Then, the area of the triangle is given by :

$Area= \frac{1}{2}\cdot a\cdot c \cdot \sin B$ .

In our example we have: Area=10 square cm, a=8 cm, c=5 cm, and we want to find the measure of the angle between the 2 sides a and c.

Substituting in the formula we have:

$10= \frac{1}{2}\cdot 8\cdot 5 \cdot \sin B$

Thus, $10=20 \sin B$ , which means $\sin B = \frac{1}{2}$ .

$\frac{1}{2}$ is the sine of $30^{\circ}$ , but also $150^{\circ}$ .

Answer: both 30, and 150 degrees are possible

8 0

3 years ago