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Leno4ka [110]
4 years ago
14

Solve this equation using elimination: 4x-y=8;6x+y=2

Mathematics
1 answer:
fomenos4 years ago
7 0
Solve simultaneously.

4x - y = 8
6x + y = 2


Multiply top equation by 6, and bottom equation by 4, to eliminate x, so that we can find y.
~
24x - 6y = 48
24x - 4y = 8

Subtract top from bottom to form one equation.
~
-2y = 40
Therefore y is 20.

Put y back in to an equation, such as 4x - y = 8.
~
4x - 20 = 8
4x = 28
x = 7
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A rectangular field has dimension of 91 feet by 60 and 1/3 feet what is the area of the field
Oliga [24]

Answer:

Area = 91*\frac{181}{3}=5490\frac{1}{3} square feet

Step-by-step explanation:

The area of a rectangle is given by the formula:

A = length * width

Where length is 91 feet and width is 60\frac{1}{3}  feet

Before we do the multiplication, we have to change the mixed number [width] into an improper fraction by using the rule shown below:

a\frac{b}{c}=\frac{(a*c)+b}{c}

Hence,

60\frac{1}{3}=\frac{181}{3}

So, the area is:

Area = 91*\frac{181}{3}=5490\frac{1}{3} square feet

8 0
4 years ago
Michael Sears' standard work week is 35 hours at a rate
LUCKY_DIMON [66]

Answer:

he will be payed 420 dollars at the end of the week

3 0
3 years ago
Which graph represents The solution to<br> 6x-2x5X +7
trapecia [35]

Answer:

Well where are the options for the graphs?

6 0
4 years ago
Answer the question asked. When necessary, round to the nearest hundredth.
11111nata11111 [884]

Answer:

0.555km p/h

shown as 555m  p/h

Step-by-step explanation:

First we convert km to meters

6k = 6000m

Time = distance / rate.

20/6 = 3.33333333 = 3hr + ( 0.33 x 60 = 19.8) - 3.20hr

then 3.33 / 6 = 0.555 km  = 555 meters p/h

7 0
3 years ago
Ollie earns a fixed amount of $2,700 per month and a commission of 12% on all of his sales for the month. To cover all of his ex
mrs_skeptik [129]

Answer:

The amount of sales in order to cover his monthly expenses must be greater than or equal to $22,500

Step-by-step explanation:

Let

x----> represent the amount of sales Ollie will need

we know that

The amount of sales for the month multiplied by the commission rate as a decimal plus the fixed amount must be greater than or equal to $5,400 each month

so

The inequality that represent this situation is

0.12x+2,700\geq 5,400

solve for x

subtract 2,700 both sides

0.12x \geq 5,400-2,700

0.12x \geq 2,700

divide by 0.12 both sides

x \geq \$22,500

The amount of sales in order to cover his monthly expenses must be greater than or equal to $22,500

7 0
3 years ago
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