What is the answer for three fourths x equals nine

Mathematics

1 answer:

Dmitry [639]2 years ago

3 0

Answer:

x=12

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Find the volume of a pyramid with a square base, where the area of the base is

mestny [16]

Answer:

113.9 ft³

Step-by-step explanation:

==>Given:

Base area of square pyramid (B) = 17 ft²

Height of pyramid (h) = 20.1 ft

==>Required:

Volume of the square pyramid (V)

==>Solution:

Using the formula ⅓*B*h, let's find the volume of the pyramid as follows by plugging in our values:

V = ⅓*17*20.1

V = 341.7/3

V= 113.9 ft³

Volume of the square pyramid = 113.9 ft³

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2 years ago

Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock.

ddd [48]

The answer is 4 3/4 yards of the fabric.

This can be calculated using the proportion.
If the 3 1/6 yards of the fabric is enough for 1 1/3 shirts, how many yards are necessary of 2 shirts:
 $3 \frac{1}{6} yards :1 \frac{1}{3}shirts =xyards:2shirts$

Let's express 3 1/6 as 19/6:
$3 \frac{1}{6} =3+ \frac{1}{6} = 3* \frac{6}{6}+ \frac{1}{6} = \frac{18}{6} + \frac{1}{6} = \frac{18+1}{6} = \frac{19}{6}$

Similarly, 1 1/3 = 4/3:
$1 \frac{1}{3} =1+ \frac{1}{3} = 1* \frac{3}{3}+ \frac{1}{3} = \frac{3}{3} + \frac{1}{3} = \frac{3+1}{3} = \frac{4}{3}$

Now, let's use this in the proportion:
 $3 \frac{1}{6} yards :1 \frac{1}{3}shirts =xyards:2shirts$
 $\frac{19}{6} : \frac{4}{3} = x:2$

Crossing the products:
$x* \frac{4}{3} =2* \frac{19}{6}$
⇒ $x* \frac{4}{3} = \frac{19}{3}$
⇒ $x = \frac{19}{3} : \frac{4}{3}$
$x= \frac{19}{3} * \frac{3}{4}$
⇒ $x = \frac{19}{4} = \frac{16+3}{4} = \frac{16}{4} + \frac{3}{4} =4+ \frac{3}{4} =4 \frac{3}{4}$

Therefore, Mary needs in total 4 3/4 yards of the fabric.

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2 years ago

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carpet cost $2 per square foot. linoleum costs $1 per square foot. with $500, and 300 square feet to cover, how much carpet and

densk [106]

200 square feet of carpet and 100 square feet of linoleum.

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