1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Step2247 [10]
3 years ago
7

20 POINTS!!!! If eight is added to twice a number and the sum is multiplied by five result is the same as if the number is multi

plied by -8 and four is added to the product. What is the number?
Mathematics
1 answer:
Sauron [17]3 years ago
6 0
<h3><u>The value of x is equal to -2.</u></h3>

5(2x + 8) = -8x + 4

<em><u>Distributive property.</u></em>

10x + 40 = -8x + 4

<em><u>Add 8x to both sides.</u></em>

18x + 40 = 4

<em><u>Subtract 40 from both sides.</u></em>

18x = -36

<em><u>Divide both sides by 18</u></em>

x = -2

You might be interested in
A herd of horses split and went to three areas. One fourth of the herd of horses was seen in the forest. Twice the square root o
melamori03 [73]

Answer:the total number of horses in the herd is 36

Step-by-step explanation:

Let x represent the total number of horses in the herd.

One fourth of the herd of horses was seen in the forest. This means that the number of horses that was seen in the forest would be

1/4 × x = x/4

Twice the square root of the herd had gone to the mountain slopes. This means that the number of horses that had gone to the mountain slopes would be

2 × √x = 2√x

Three times five horses remained on the riverbank. This means that the number that remained would be

3 × 5 = 15

Therefore

x/4 + 2√x + 15 = x

x - x/4 - 15 = 2√x

(4x - x - 60)/4 = 2√x

(3x - 60)/4 = 2√x

Cross multiplying,

3x - 60 = 8√x

Squaring both sides of the equation, it becomes

(3x - 60)(3x - 60) = 64x

9x² - 180x - 180x + 3600 = 64x

9x² - 360x - 64x + 3600 = 0

9x² - 424x + 3600 = 0

Applying the quadratic equation

x = (- b ±√b² - 4ac)/2a

x = ( - - 424 ± √-424² - 4(9 × 3600)/2 × 9

x = (424 ± √179776 - 129600)/18

x = (424 ±√50176)/18

x = (424 + 224)/18 or

x = (424 - 224)/18

x = 36 or x = 11.11

the number of horses must be whole number. Therefore, the number of horses is 36

5 0
3 years ago
Compare triangles JKL and OVN as shown below.
Aleks04 [339]
The answer is A. The line indicates that the side are the same. Therefore it’s A.
7 0
3 years ago
Alejandra gets paid 9 dollars per hour she works. If h is the total number of hours Alejandra works, which expression could be u
Over [174]

your answer would be 9h


5 0
3 years ago
Colossal canyon was formed in the shape of a parabola.The graph below shows the shape of the canyon.What interval is the functio
Roman55 [17]

Answer:

The function increasing ⇒ 3 ≤ x ≤ 6 answer C

Step-by-step explanation:

∵ The vertex of the parabola is (3 , -6)

∴ The minimum value = -6 at x = 3

∵ The left part of the parabola is decreasing because the value of y decreased from 3 to -6 when 0 ≤ x ≤ 3

∵ The right part of the parabola is increasing because the value of y  increased from -6 to 3 when 3 ≤ x ≤ 6

∴ The function is increasing at interval  3 ≤ x ≤ 6

8 0
3 years ago
Select all of the pieces of information that would tell you x and y have a proportional relationship. Let y represent the distan
natima [27]

<em>Complete Question:</em>

<em>Select all of the pieces of information that would tell you x and y have a proportional relationship. </em>

<em>Let y represent the distance between a rock and a turtle's current position in meters and x represent the number of minutes the turtle has been moving. y=3x </em>

<em>1. After 4 minutes, the turtle has walked 12 feet away from the rock. </em>

<em>2. The turtle walks for a bit, then stops for a minute before walking again. </em>

<em>3. The turtle walks away from the rock at a constant rate. </em>

Answer:

1. After 4 minutes, the turtle has walked 12 feet away from the rock.

3. The turtle walks away from the rock at a constant rate.

Step-by-step explanation:

Given

y = 3x

Required

Determine which of the options answers the question

Recall that:

y = distance

x = time

Analyzing the options 1 after the other:

Option 1:

In this option, we have that:

y = 12

x = 4

Substitute these values of x and y in the given equation

y = 3x

12 = 3 * 4

12 = 12

Because both sides of the equation are equal, this option shows a proportional relationship

Option 2:

The given equation cannot be used to ascertain the information given in this option.

Because for a every time (in minutes) traveled by the turtle, there's a corresponding distance moved.

Option 3:

Recall that

y = 3x

Assume x = 5

y would be

y = 3 * 5

y = 15

Assume x = 6

y would be

y = 3 * 6

y = 18

For every values of x and corresponding y value, there exist a constant relationship because:

\frac{y}{x} = 3

This implies that the rate at which the turtle moved is 3ft/s and this rate is constant.

7 0
3 years ago
Other questions:
  • Which economic indicator measures the change in prices of specific goods and services over time?
    14·2 answers
  • The Pumpkin Patch is open every day. If it sells 2,750 pounds of pumpkins each day, about how many pounds does it sell in 7 days
    11·2 answers
  • Seven pizzas are shared equally between three friends. What fraction of pizza does each friend get? Write your answer as a mixed
    11·2 answers
  • Twelve people each have a standard deck of cards. Each person shuffles the deck and draws two cards (without replacement). Anyon
    10·1 answer
  • The diagram shows a rectangle. 0.5 cm 7 cm. Four of these rectangles are put together as shown. Calculate the shaded area
    12·2 answers
  • Evaluate:<br> UV<br> 2<br> if u=4 and v=3
    6·1 answer
  • Question 5. What is the value of E? How do you know?
    11·1 answer
  • Nina’s dog weighed 23.54 pounds last year. This year, her dog weighs 25.38 pounds. How many pounds did her dog gain this past ye
    14·1 answer
  • Find the surface area of a square pyramid with side length 3km and slant height 3km
    11·1 answer
  • Complete the table for the given rule.<br> Rule: y = 6x-4<br> Please help
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!