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3 years ago

A pizza maker can make 8 pizzas in 12 minutes. What is the pizza maker's unit rate?

Mathematics

2 answers:

Mrrafil [7]3 years ago

7 0

1 Pizza Every 1.5 Minutes

never [62]3 years ago

6 0

Answer: Unit rate of pizza maker is 1.5 .

Step-by-step explanation:

Since we have given that

A pizza maker can make 8 pizzas in 12 minutes

Number of pizzas = 8

Time taken to make pizzas = 12 minutes

We need to find the pizza maker's unit rate :

So, we will use the " Unitary Method " :

$=\frac{\text{ Time taken by him }}{\text{ Number of pizzas }}\\\\=\frac{12}{8}\\\\=1.5$

Hence, Unit rate of pizza maker is 1.5 .

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ale4655 [162]

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3 years ago

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3 years ago

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2 years ago

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Svet_ta [14]

Answer:

$=\frac{64}{3v}$

Step-by-step explanation:

One is given the following equation:

$\frac{(4v^-^3)^3}{3v^-^8}$

Simplify the numerator, remember to raise every number inside the parenthesis to the exponent outside of the parenthesis. Bear in mind, an exponent raised to another exponent is equal to the exponent times the exponent it is raised to. Then simplify by multiplying the number by itself the number of times that the exponent indicates.

$\frac{(4v^-^3)^3}{3v^-^8}$

$=\frac{4^3(v^-^3)^3}{3v^-^8}$

$=\frac{4^3v^-^9}{3v^-^8}$

$=\frac{64v^-^9}{3v^-^8}$

Bring the variable (v) in the denominator (value under the fraction bar) to the numerator (value ontop of the fraction bar) by multiplying its exponent by (-1). This can be done simply because all operations in this equation are multiplication or division, remember, an exponent is another form of multiplication.

$=\frac{64v^-^9}{3v^-^8}$

$=\frac{(64v^-^9)(v^(^-^1^)^(^-^8^))}{3}$

Simplify, remember, multiplying two numbers with the same base that have an exponent is the same as adding the two exponents,

$=\frac{(64v^-^9)(v^(^-^1^)^(^-^8^))}{3}$

$=\frac{(64v^-^9)(v^8)}{3}$

$=\frac{64v^-^9^+^8)}{3}$

$=\frac{64v^-^1}{3}$

Now bring the variable to the denominator so that there are no negative exponents. Use a similar technique that was used to bring variables with exponents to the numerator.

$=\frac{64v^-^1}{3}$

$=\frac{64}{3(v^(^-^1^)^(^-^1^))}$

$=\frac{64}{3v^1}$

$=\frac{64}{3v}$

5 0

2 years ago

y varies jointly as x and z. y equals 80y=80 when x equals 5x=5 and z equals 4z=4. Find y when x equals 4x=4 and z equals 6z=6.

Lubov Fominskaja [6]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\$

$\bf \textit{\underline{y} varies jointly as \underline{x} and \underline{z}}\implies y=kxz
\\\\\\
\textit{we also know that }
\begin{cases}
y=80\\
x=5\\
z=4
\end{cases}\implies 80=k(5)(4)\implies 80=20k
\\\\\\
\cfrac{80}{20}=k\implies 4=k\qquad thus\qquad \boxed{y=4xz}\\\\
-------------------------------\\\\ if~\begin{cases}
x=4\\
z=6
\end{cases}~\textit{what is \underline{y}?}\qquad y=4(4)(6)$

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3 years ago