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Sonbull [250]
2 years ago
5

Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload y

our answer. You will be awarded 5 points for the statements and 5 points for the reasons.
(2x+6)/5=4x−3
Mathematics
1 answer:
Ivahew [28]2 years ago
4 0

Answer:

x=7/6

Step-by-step explanation:

subtract the 4x from both sides of the equation

(2x+6)-4x=4x-3-4x

find common denominator

(2x+6)/5+(5(-4)x)/5=4x-3-4x

then combine fractions

(2x+6+5(-4)x)/5=4x-3-4x

then multiply the 5&4

(2x+6-20x)/5= 4x3-4x

combine terms

(-18x+6)/5= -3

then multiply everything by 5

-18x+6= -15

subtract the 6 from both sides

-18x= -21

divide -21 by -18

(-21)/(-18)=x

find greatest common multiple (3) and solve

x = 7/6

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If you do 5*the ratio of ur mom then u will get Y which times ur dads ding dong get u f(x)= 758984327934792379427893.

4 0
2 years ago
At the farmers market two pounds of peaches cost 4.20 how much would five pounds cost show work
Marizza181 [45]

Hey!

You can make a proportion:

\frac{2}{\$ 4.20} = \frac{5}{x}

Cross multiply

\$ 4.20 \times 5 = \$ 21

Divide by 2

\$ 21 \div 2 = \$ 10.5

<em>5 pounds would cost $10.50</em>

Good luck and hope this helps! :)

3 0
3 years ago
Read 2 more answers
Jacob is a plumber. Due to increased material costs, he puts all his prices up by 7%. He now chargers R320 per hour for her serv
Lorico [155]

Answer:

R290.1

Step-by-step explanation:

Let

x = charge before he put his prices up

New charge = R320

Percentage increase in price = 7%

x + 7% of x = 320

x + 0.07 * x = 320

x + 0.07x = 320

1.07x = 320

x = 320/1.07

x = 299.06542056074

Approximately

x = R290.1

Charge before he put his prices up = R290.1

4 0
2 years ago
For your friend's birthday, you have 3 presents to wrap. Find the combined surface area of these 3 gifts so you know how much wr
omeli [17]

The answer is: 5,614 square inches.

The explanation is shown below:

1. The gift on the bottom is a rectangular prism. To calculate its surface area, you must apply the following formula:

 SA=2[(l)(w)+(l)(h)+(h)(w)]

Where l is the length (20 inches), w is the width (42 inches) and h is the heigth (16 inches).

2. Substitute values:

SA1=2[(20in)(42in)+(20in)(16in)+(16in)(42in)]=3,664in^{2

3. The surface area of the other gifts can be calculated with the formula for calculate the surface area of a cube:

SA=6s^{2}

Where s is the side.

4. The surface area of the bigger cube is:

SA2=6(15in^{2})=1,350in^{2}

5. The surface area of the smaller cube is:

SA3=6(10in^{2})=600in^{2}

6. The total surface area (the combined surface area of the three gifts) is:

SAt=SA1+SA2+SA3\\SAt=3,664in^{2}+1,350in^{2}+600in^{2}\\SAt=5,614in^{2}

7 0
3 years ago
We have 50 video gamers who share information about their favorite games. 20 people say that Borderlands II is their favorite ga
stealth61 [152]

Answer:

2 people

Step-by-step explanation:

Total number of people (n) = 50

Borderlands II (B) = 20

Fortnite (F) = 33

Minecraft (M) = 19

Borderlands and Fortnite (B&F) = 15

Borderlands and Minecraft (B&M)= 10

All games (B&M&F) = 5

The number of people that claimed more than one game as their favorite (X) is given by:

X=M+B+F-n\\X=19+20+33-50\\X=22\ people

Those people can be divided in B&F only, B&M only, M&F only and B&M&F:

X=(B\&M-B\&M\&F)+(B\&F-B\&M\&F)+(M\&F-B\&M\&F)+B\&M\&F\\X=B\&M+B\&F+M\&F-2*B\&M\&F\\22=10+15+M\&F-2*5\\M\&F=7\ people

7 people claimed that Minecraft and Fortnite were their favorites however, 5 of those people claimed all of the games as their favorite. Therefore, only 2 people declared Minecraft and Fortnite (exclusively) as their favorites.

7 0
3 years ago
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