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Olegator [25]
4 years ago
7

Solve the following system of equations by substitution and select the correct answer below: 4x − 6y = 28 8x − 4y = 24

Mathematics
2 answers:
Zarrin [17]4 years ago
8 0
According to my calculation it should be C: x=  1 and y = - 4
NOTE: I had it right on my online class.
Damm [24]4 years ago
4 0

Answer:

the solution is the point (1,-4)

Step-by-step explanation:

we have

4x-6y=28

isolate the variable x

4x=28+6y

x=7+1.5y -----> equation A

8x-4y=24 -----> equation B

substitute the equation A in equation B

8(7+1.5y)-4y=24

56+12y-4y=24

12y-4y=24-56

8y=-32

y=-4

Find the value of x

x=7+1.5(-4)=1

the solution is the point (1,-4)

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Luke has two summer jobs. During the week he works in the grocery store, and on the
TiliK225 [7]

Hello! First, let's get some important information:

Luke works in the:

  • week → grocery store → $16/hour
  • weekend → nursery → $22/hour

Now, let's analyze the questions:

<h3>a) How much does he earn if he works 5 hours at the grocery store and 8 hours at the nursery? </h3>

To find the amount he will receive, you must multiply the amount of 1 hour by the number of hours worked. Look:

\mathrm{Grocery\:Store}\\\\\$16 \cdot 5 \:\mathrm{hours}= \$80\\\$22 \cdot 8\:\mathrm{hours}=\$176

<h3>b) How much does he earn if he works g hours at the grocery store and n hours at the nursery?</h3>

\$16 \cdot \mathrm{g} \:\mathrm{hours}= \$16\cdot\mathrm{g}\\\$22 \cdot \mathrm{n}\:\mathrm{hours}=\$22\cdot\mathrm{n}

<h3>c) Total pay, 5 hours at the grocery store and 8 hours at the nursery:</h3>

You'll just have to just add the value in each of the jobs:

$80 + $176 = $256

<h3>d) Total pay, g hours at the grocery store and n hours at the nursery:</h3>

Adding the values of each job:

$16g + $22n

Hope this helps!

8 0
3 years ago
A metal alloy is made by adding ½ ounce of metal C and ⅓ ounce of metal D. What is the total weight of the alloy?
Sergio [31]
5/6 Oz 
Hope This Helps!

5 0
3 years ago
Read 2 more answers
From past experience, the organization knows that about 20% of all potential donors will agree to give something if contacted by
Veronika [31]

Answer:

Total number of  donor who will give first $ 100 = 100 people  

Step-by-step explanation:

Given that:

Total percentage of people who donate when contact by phone 20%

Percentage of donating people who will give $100 or more = 5% = 0.05

Total number of donor who will give first $ 100 can be calculated as

calculate the percentage of donor who will give first $ 100  

P(X) =  0.05\times 0.20 = 0.01\ percent

\mu_x = \frac{1}{0.01}

so, total number of the donor who will give first $ 100 = 100 people  

3 0
3 years ago
Enter the value of <br><br> 3 + (10 x 12) – 7
Margarita [4]

Answer:

116

Step-by-step explanation:

Pemdas so do the 10 × 12 first... you get 120 the you go left to right so 3 + 120 = 123... subtract 7 from that and you get 116.

7 0
3 years ago
Stella buys 6 tacos and 4 enchiladas for 52 dollars. Eliana buys 7 tacos and 9 enchilladas for 78 dollars.
Firdavs [7]

Answer:

Let tacos be x and enchiladas be y

6 tacos + 4 enchiladas = 52

becomes

6x+4y=52

^^that's our first equation

Now, the second equation

7 tacos + 9 enchiladas = 78

7x+9y = 78

^^^that's our second equation

Isolate y in the first equation:

6x+4y=52

4y=52-6x

y = (52-6x)/4

^^^Let's call this equation 3

Now, sub-in equation 3 into equation 2

*replace the y*

Equation 2: 7x+9y = 78

Sub-in

7x+ <u>9 ( (52-6x)/4)</u> = 78

Do some algebra (get your x terms on one side) and you will find your x value

7x + <u>117 - 13.5x</u> = 78

(7x-13.5x) = 78-117 *get your x terms on one side

x=6

That's the cost of one taco.

Now, find y. Pick an equation (1,2 or 3). Let's pick 3 since y is already isolated.

All you do is plug in your x value.

Equation 3: y = (52-6x)/4

y= (52 -6(6))/4

...

You should be able to solve this on your own

Step-by-step explanation:

:)) You can solve for y now

5 0
2 years ago
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