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monitta
3 years ago
13

A triangular prism has height 8 units. The base of the prism is shown in the image. What is the volume of the prism? Round your

answer to the nearest tenth.
Do not include units (cubic units) in your answer.

Mathematics
1 answer:
Nadya [2.5K]3 years ago
6 0

Answer:

Ypu have to multiply all the sides to find your answer

Step-by-step explanation:

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Bill mixes candy costing 45cents per pound with candy costing 65cents a pound. A 7-pound box of the mix costs $3.65. How much of
Len [333]

Answer:

Bill should use 4.5 pounds of the candy costing 45 cents and 2.5 pounds of the candy costing 65 cents.

Step-by-step explanation:

With the information provided, you can say that the sum of the pounds of each type of candy is equal to 7, which can be expressed as:

x+y=7

Also, the statement indicates the 7 pound box costs $3.65 and you can say that the sum of the results of multiplying the price of each candy for the number of pounds is equal to $3.65, which is:

0.45x+0.65y=3.65

You have the following equations:

x+y=7 (1)

0.45x+0.65y=3.65 (2)

Now, you have to solve for x in (1):

x=7-y (3)

Then, you have to replace (3) in (2):

0.45(7-y)+0.65y=3.65

3.15-0.45y+0.65y=3.65

0.20y=0.50

y=0.50/0.20

y=2.5

Finally, you can replace the value of y in (3) to find x:

x=7-y

x=7-2.5

x=4.5

According to this, the answer is that Bill should use 4.5 pounds of the candy costing 45 cents and 2.5 pounds of the candy costing 65 cents.

4 0
3 years ago
Some time ago , Keith's height and his nephew's height were at a ratio of 15:7. Then, Keiths height increased by 16% and his nep
GaryK [48]

Answer:

The answer is below

Step-by-step explanation:

The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.

\frac{x}{y}=\frac{15}{7}  \\x=\frac{15}{7}y

Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x

The nephew height is doubled, therefore his new height is 2y.

Given that Keith is now 34 cm taller than his nephew

1.16x = 2y + 34

but x = (15/7)y

1.16(\frac{15}{7} )y=2y+34\\\\\frac{87}{35} y=2y+34\\\\\frac{87}{35} y-2y=34\\\\\frac{17}{35}y=34\\ \\y=\frac{34*35}{17}\\ \\y=70\ cm

The nephews new height = 2y = 2(70) = 140 cm

Keith new height = 2y + 34 = 140 + 34 = 174 cm

Their total current height = 140 cm + 174 cm = 314 cm

3 0
3 years ago
You work as a chef, you order 100 pounds
Zielflug [23.3K]

Answer: what?! that's a lot of meat but what is the question

Step-by-step explanation:

3 0
3 years ago
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Geometry: find the value of x
Scrat [10]

Answer:

X = 49

Step-by-step explanation:

Here

4x=147+x (by alternate interior angle)

4x-x= 147

3x=147

X=49

......................

Plzz mark it as a brilliant answer .

8 0
3 years ago
If f(x)=4x^2 and g(x)=x+1, find (f-g)(x)
Nataly [62]

Answer:

I need help

Step-by-step explanation:

3 0
3 years ago
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