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Novay_Z [31]
3 years ago
8

2X plus Y equals 7 3X minus 4Y equals five

Mathematics
1 answer:
Dvinal [7]3 years ago
7 0
\left \{ {{2x+y=7\ \ | *4} \atop {3x-4y=5}} \right. \\\\ \left \{ {{8x+4y=28} \atop {3x-4y=5}} \right. \\+----\\Addition\ method\\\\
11x=33\ \ \ | divide\ by\ 11\\
x=3\\\\y=7-2x\\
y=7-2*3=7-6=1\\\\Solution:\\ \left \{ {{y=1} \atop {x=3}} \right.
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What is the quotient?<br><br> 3/8 divided by (-2)
Ulleksa [173]

3/8 divided by -2 = -3/16

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3 years ago
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Three months later, Pepe averaged a speed of 4/5 of a mile in 1/10 of an hour, while Paula averaged 5/6 of a mile in 1/12 of an
MAVERICK [17]

Answer:

2 miles per hour

Step-by-step explanation:

We have to calculate the miles per hour of each person

Formula = Distance in miles/ Time in hours

a) For Pepe

Pepe averaged a speed of 4/5 of a mile in 1/10 of an hour

Hence,

= 4/5 miles / 1/10 hour

= 4/5 miles ÷ 1/10 hour

= 4/5 miles × 10/1 hour

= 8 miles per hour

b) For Paula

Paula averaged 5/6 of a mile in 1/12 of an hour.

Hence,

= 5/6 miles / 1/12 hour

= 5/6 miles ÷ 1/12 hour

= 5/6 miles × 12 hour

= 10 miles per hour

Therefore, In miles per hour, the number of miles Paula ran faster than Pepe is calculated as:

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= 2 miles per hour

3 0
3 years ago
How do the graphs of the function f(x)=(3/2)x and g(x)=(2/3)x compare
allochka39001 [22]

Answer:

f is a line through 0 and (2,3)

g is a line through 0 and (3,2)

Step-by-step explanation:

f and g are proportional linear functions. They each have the form y=mx+b where b=0 and m is a fraction. The m or slope tell us the form the function takes on the graph. It is a straight line through 0 with steepness m.

f(x)=\frac{3}{2} x has steepness 3/2. Starting at (0,0) or the origin, move up three grid lines on the y-axis and then over 2 grid lines. Mark your point at (2,3). Then connect and draw arrows on the end.


g(x)=\frac{2}{3}x has steepness 2/3. Starting at (0,0) or the origin, move up two grid lines on the y-axis and over 3 grid lines. Mark your point at (3,2). Then connect and draw he arrows on the end.

6 0
3 years ago
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Answer:

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5 0
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Burka [1]
Answer: Yes they are

Explanation: All respective sides have the same slope
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