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Leto [7]
3 years ago
10

Use the substitution method to solve the system of equations. y=7x +8 y=x +20​

Mathematics
1 answer:
DanielleElmas [232]3 years ago
3 0

Answer:

<h2>x = 2, y = 22 → (2, 22)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}y=7x+8&(1)\\y=x+20&(2)\end{array}\right\qquad\text{substitute (1) to (2):}\\\\7x+8=x+20\qquad\text{subtract 8 from both sides}\\7x=x+12\qquad\text{subtract x from both sides}\\6x=12\qquad\text{divide both sides by 6}\\x=2\\\\\text{put the value of x to (2):}\\\\y=2+22\\y=22

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A division of the Gibson Corporation manufactures bicycle pumps. Each pump sells for $10, and the variable cost of producing eac
svlad2 [7]

Answer:

12,500 units

Step-by-step explanation:

Given:

Selling cost of the pump = $10

Variable cost of producing each unit = 60% of selling cost

or

Variable cost of producing each unit  = 0.60 × $10 = $6

Monthly fixed cost = $50,000

Now,

The profit per unit = Selling cost - Variable cost

or

The profit per unit = $10 - $6 = $4

Therefore,

The breakeven point = \frac{\textup{Fixed cost}}{\textup{Profit per unit}}

or

the breakeven point = \frac{\textup{50,000}}{\textup{4}}

or

the breakeven point = 12,500 units

8 0
3 years ago
I need help ASAP!! 13 points
OleMash [197]

Answer:

The correct answer is H

Step-by-step explanation:

1/4 of a wall in 2/3 of an hour is 40 min

so a wall takes 160 min which is 2 hours and 40 min

so 3 walls takes 8 hours

6 0
3 years ago
Read 2 more answers
(A3- 2a2) - ( 3a2- 4a3)
Tanzania [10]
If you would like to calculate (a^3 - 2 * a^2) - (3 * a^2 - 4 * a^3), you can do this using the following steps:

(a^3 - 2 * a^2) - (3 * a^2 - 4 * a^3) = a^3 - 2 * a^2 - 3 * a^2 + 4 * a^3 = 5 * a^3 - 5 * a^2

The correct result would be 5 * a^3 - 5 * a^2.
8 0
3 years ago
Read 2 more answers
The right triangle shown has angles X, Y, and Z and side lengths a, b, and
laiz [17]
So attached is a picture of the triangle you are talking about and listed under are the choices:

A.) Cos Z=b/c 
B.) Sin X=c/b 
C.) Tan X=b/a 
<span>D.) Tan Z=a/b
</span>
The answer would then be B. SinX = c/b.

Just remember SOH CAH TOA:

Sinθ=  Opposite         Cosθ =    Adjacent             Tanθ=   Opposite
         Hypotenuse                   Hypotenuse                        Adjacent

Using the triangle in the scenario, you just need to identify which side is which. 

Given m∠Z
Adjacent = b
Opposite = a
Hypotenuse = c

SinZ=  a         CosZ = b             TanZ= a 
            c                      c                        b

Given m∠X:

Adjacent = b
Opposite = a
Hypotenuse = c

SinX= <u> b </u>        CosX =<span><u> a </u></span>            TanX=<span><u> b </u></span>
            c                      c                        a

So the answer is B. 

Attached is a picture of how I assigned the sides depending on the angle used.

4 0
3 years ago
Plz help me I need help I swear I need help plz anyone help me plz help me plz I need the help from someone plz help me plz
Colt1911 [192]

2 is the y -4 is the x I believe that this is the answer

8 0
3 years ago
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