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Ugo [173]
3 years ago
12

Patrick drove 220 miles to his grandmothers house. The trip took him 4 2/5 hours. What is his average speed in miles per hour.

Mathematics
1 answer:
grigory [225]3 years ago
6 0
50mph hope it helps good luck
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One canned juice drink is 15% orange juice another is 10% orange juice how many liters of each should be mixed together in order
vfiekz [6]
\bf \begin{array}{lccclll}
&quantity(L)&concentration&
\begin{array}{llll}
concentrated\\
quantity
\end{array}\\
&-----&-------&-------\\
\textit{15\% juice}&x&0.15&0.15x\\
\textit{10\% juice}&y&0.10&0.10y\\
-----&-----&-----&-----\\
mixture&5&0.14&(5)(0.14)
\end{array}

whatever the amounts of "x" and "y" are, they must add up to 5Liters
thus x + y = 5

and whatever the concentrated quantity is in each, they must add up to (5)(0.14)

notice, that we use the decimal notation for the amount of juice concentration, that is, 15% is just 15/100 or 0.15, and 14% is just 14/100 or 0.14 and so on, recall that "whatever% of something" is just (whatever/100)*something

thus    \bf \begin{cases}
x+y=5\implies \boxed{y}=5-x\\\\
0.15x+0.10y=(5)(0.14)\\
----------\\
0.15x+0.10\left(\boxed{5-x}  \right)=(5)(0.14)
\end{cases}

solve for "x", to see how much of the 15% juice will be needed

what about "y"?  well, y = 5 - x

7 0
3 years ago
Explain how to form a linear combination to eliminate the variable y for this system. 2x - 3y = 3 5x + 2y = 17A)Multiply the fir
jonny [76]
We aer goint to eliminate the x's
multiply first by -5 and 2nd by 2
so that is B
7 0
3 years ago
Help me pleaseeeeeee
bekas [8.4K]
It’s b

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3 years ago
If the diameter of a sphere is 160 what is the volume
IgorLugansk [536]

Answer:

im going to have to go with V=2.14×10^{6}

6 0
3 years ago
Read 2 more answers
It is one half x minus 4 equals negative three minus one-third x and have to solve for x
Elena L [17]

Answer:

x=1.2

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

1/2x-4=-3-1/3x

5/6x-4=-3

5/6x=1

x=1.2

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

6 0
4 years ago
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