MATHEMATICS HIGH SCHOOL

Select all the equations that are equivalent to this equation.1/4 (8x + 56) = 20

1; 56 + 8x = 80
2; 14 = 20 – 8x
3; 2x + 14 = 5
4: 2x = 6
5: x = 3

Answers

Answer 1
Answer:

The equations equivalent to 1/4 (8x + 56) = 20 are

1. 56 + 8x = 80

2.14 = 20 - 8x

4.2x = 6

5. x = 3

What is an equation?

An equation is a mathematical expression that shows the relationship between two variables.

Since we have the equation 1/4(8x + 56) = 20, and we want to find all the equations that are equivalent to it, we solve the equation.

So, we proceed as follows.

1/4(8x + 56) = 20

Expanding the brackets, we have

8x/4 + 56/4 = 20

2x + 14 = 20

Subtracting 14 from both sides, we have that

2x = 20 - 14

2x = 6

x = 6/2

x = 3

Also, in 1/4(8x + 56) = 20

Multiplying through by 4, we have that

8x + 56 = 80

2x + 14 = 20

Subtracting 2x from both sides, we have that

14 = 20 - 2x

So, the equations are

1. 56 + 8x = 80

2.14 = 20 - 8x

4.2x = 6

5. x = 3

Learn more about simple equation here:

brainly.com/question/29689548

#SPJ1

Related Questions

The table shows numbers with the ratio x : y? Find the missing number?x 1 15 225y 4 ? 900
2x+6y=5x+3y=2 how many solutions (x,y) are there to the system of equations above ? a noneb one c twod more than two please explain how u know
If x = 2/9 and y = 3/7 work out the value of x + y
Can you express 9/9 as a mixed number
Cube with each face number 1,2,3,4,5,6. what is the probability if you roll the cube 4 times, you will get the number 5 each time

0.5/10 5/100 are these ratios equal?

Answers

Answer:

No

Step-by-step explanation:

5/100 would be 0.05 as a decimal

Gerry thinks that the points (4,2) and (−1,4) form a line perpendicular to a line with slope 4. Do you agree? Whyor why not?

Answers

Answer:

The answer to your question is these lines are not perpendicular.

Step-by-step explanation:

Data

A (4, 2)

B (-1, 4)

slope = m = 4

Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.

Process

1.- Find the slope of the second line and compare it to the slope given.

slope = (y2 - y1)/(x2 - x1)

Substitution

slope = (4 - 2)/(-1 - 4)

Simplification and result

slope = (-2)/(5)

-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.

(x - y)^2 + 4z(x - y) +3z^2 (and btw ^2 means squared and this is going for 10 points)

Answers


(x - y)² = x² + y² - 2xy

4z(x - y) = 4zx - 4zy

3z²  =  3z²

Addum all up:

               x² + y² - 2xy + 4zx - 4zy + 3z²      

(To me, it was a lot simpler before I simplified it.)

Jack ate 3 chocolate squares after school. Each chocolate square had a mass of 8 grams.How many grams of chocolate did Jack eat in all?

Answers

Answer:

24 grams

Step-by-step explanation:

Since there are three of them, I multiply by the mass, which is 8, and get 24 grams.  Hope this helps!
Jack ate 24 grams in total.

You can get this answer my multiplying 8x3 because he ate three pieces and each of the three had eight grams.

suppose it has been determined that the probability is 0.6 that a rat injected with cancerous cells will live. if 35 rats are injected, how many would be expected to die

Answers

Answer:

Calculating this, we find that approximately 14 rats would be expected to die.

Step-by-step explanation:

determine the number of rats expected to die, we need to multiply the probability of dying (1 - 0.6 = 0.4) by the total number of rats injected. Probability of dying = 1 - Probability of living = 1 - 0.6 = 0.4 Number of rats expected to die = Probability of dying * Total number of rats injected = 0.4 * 35

A ball is thrown into the air with an upward velocity of 44 ft/s. Its height h in feet after t seconds is given by the function h=-16t ^(2) +44t+9. What is the height of the ball after 2 seconds?

Answers

h=-16t^2+44t+9\n\nsubstitute\ t=2:\n\nh=-16\cdot2^2+44\cdot2+9=-16\cdot4+88+9=-64+97=33\n\nAnswer:33\ feets.
the\ function:\ \ h(t)=-16t^2+44t+9\n \n h=2\ \ \ \Rightarrow\ \ \ h(2)=-16\cdot 2^2+44\cdot 2+9=-16\cdot4+88+9=33\n \nAns.\ the\ height\ of\ the\ ball\ after\ 2\ seconds\ is\ 33\ feets
Other Questions
The steps below show the incomplete solution to find the value of x for the equation 5x – 3x – 5 = –3 + 23:Step 1: 5x – 3x – 5 = –3 + 23 Step 2: 5x – 3x – 5 = 20 Step 3: 2x – 5 = 20 Which of these is most likely the next step?
Can I get some help pls.
A rectangle has an area of 100 cm². The base of the rectangle is 25 cm.What is the height of the rectangle? 4 cm 10 cm 76 cm 2400 cm
Need help with this now! Giving 100 points and brainliest to whoever can give the best answer to this with an explanation.The graph represents the speed at which Pete’s marble travels. The speed of Stephano’s marble is represented by the equation f=2.25s, where f is the distance in feet and s is the time in seconds. Whose marble will reach the 6-foot mark sooner?