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vichka [17]
3 years ago
11

Solve by substitution

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
3 0
In second equation add 0.74 and y to both sides: 3.25x+0.74=y;
Substitute y in the first equation: -4.5x-2(3.25x+0.74)=-12.5;
Distribute multiplication over addition:
-4.5x-6.50x -1.48=-12.5;
Combine like terms and add 1.48 to both sides:
-11x= -12.5+1.48;
-11x= 11.02 divide both sides by -11;
X= -11.02/11= -1.00(18)
Y= 3.25• -1.00(18)+.74= -2.515(90)
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A real estate broker's base salary is $18,000. She earns a 4% commission on total sales. How much must she sell to earn $55,000
evablogger [386]

The salary of the real estate broker = $18,000

Commission earned on total sales = 4% or 0.04

Total income earnings = $55,000

Let the total sales be = x

Equation becomes :

18000+0.04x=55000

0.04x=55000-18000

0.04x=37000

x=925000

Hence, the real estate broker must sell $925,000 worth of real estate to earn $55,000.

6 0
3 years ago
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The logo for Chris's Calculator Company is 3 semicircles. The logo will be placed on the company building and will be 4 feet tal
Keith_Richards [23]

Answer:

The area of the logo is 18.84\ ft^{2}

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of a semicircle is equal to

A=\frac{1}{2}\pi r^{2}

so

The area of the logo is equal to multiply by 3 the area of one semicircle

A=\frac{3}{2}\pi r^{2}

we have

r=4/2=2\ ft -----> the radius is half the diameter

substitute

A=\frac{3}{2}(3.14)(2)^{2}=18.84\ ft^{2}

8 0
3 years ago
Solve the system of equations using substitution.
OLEGan [10]
y=4x+6\\
y=2x\\\\
4x+6=2x\\
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x=-3\\\\
y=2\cdot(-3)\\
y=-6\\\\
\boxed{(x,y)=(-3,-6)}
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3 years ago
A bicycle is marked 40% off the original price of $150. It is then taxed at 7%. What is the final total cost of the bicycle?
postnew [5]
Your answer is: D. $96.75
6 0
3 years ago
Read 2 more answers
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