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Vanyuwa [196]
3 years ago
10

Simplify 1/4 (-12+4/3)

Mathematics
1 answer:
garri49 [273]3 years ago
8 0
Decimal form: -2.6666..
Fraction form: -2 2/3
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A customer orders a round of coffee for her friends. If she orders two 12-ounce cups and one 16-ounce cup, she will owe the coff
astra-53 [7]

Answer:

D.$3.95

Step-by-step explanation:

Let us represent

12-ounce cup = x

16-ounce cup = y

A customer orders a round of coffee for her friends.

If she orders two 12-ounce cups and one 16-ounce cup, she will owe the coffee shop $10.75.

Hence:

2x + y = 10.75.....Equation 1

y = 10.75 - 2x

If she orders one 12-ounce cup and two 16-ounce cups, she will owe the coffee shop $11.30.

Hence:

x + 2y = 11.30.....Equation 2

We substitute 10.75 -2x for y in Equation 2

x + 2(10.75 - 2x) = 11.30

x + 21.50 - 4x = 11.30

Collect like terms

x - 4x = 11.30 - 21.50

-3x = -10.20

x = -10.20/-3

x = $3.40

Solving for y

y = 10.75 - 2x

y = 10.75 - 2($3.40)

y = 10.75 - 6.8

y = $3.95

Therefore , 16-ounce cup is represented by y, the cost for a 16-ounce cup of coffee is $3.95

Option D is correct

3 0
2 years ago
In Raphael's class there are 14 boys and 10 girls. Select whether each statement is true or false.
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Answer:

TRUE

TRUE

TRUE

FALSE

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Step-by-step explanation:

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3 years ago
Read 2 more answers
Identify a pair of parallel segments.
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say ice wallow come out loud its really funny lol

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3 years ago
During the first stages of an epidemic, the number of sick people increases exponentially with time. Suppose that at = 0 days th
nydimaria [60]
T = days passed

r = rate of growth

by 0 day, or t = 0, there are 2 folks sick,

\bf \qquad \textit{Amount for Exponential Growth}
\\\\
A=P(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &2\\
P=\textit{initial amount}\\
r=rate\to r\%\to \frac{r}{100}\\
t=\textit{elapsed time}\to &0\\
\end{cases}
\\\\\\
2=P(1+r)^0\implies 2=P\cdot 1\implies 2=P\qquad \boxed{A=2(1+r)^t}

 by the third day, t = 3, there are 40 folks sick,

\bf \qquad \textit{Amount for Exponential Growth}
\\\\
A=P(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\to &40\\
P=\textit{initial amount}\to &2\\
r=rate\to r\%\to \frac{r}{100}\\
t=\textit{elapsed time}\to &3\\
\end{cases}
\\\\\\
40=2(1+r)^3\implies 20=(1+r)^3\implies \sqrt[3]{20}=1+r
\\\\\\
\sqrt[3]{20}-1=r\implies 1.7\approx r\qquad \boxed{A=2(2.7)^t}

how many folks are there sick by t = 6?   \bf \stackrel{that~many}{A=2(2.7)^6}
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The spray from a spinning lawn sprinkler creates a circle with a radius of 50 feet.
grandymaker [24]
A because it can’t be 100 and it can’t be 625 and it can’t be 50 so it has to be A
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