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irga5000 [103]
3 years ago
9

Solve the equation. Check for extraneous solutions. |x−2|=6x+8 x=_____ ​(Type an integer or a simplified fraction. Use a comma t

o separate answers as​ needed.)
Mathematics
2 answers:
Cerrena [4.2K]3 years ago
7 0

Answer:

x= -0.857143 = -6/7

Step-by-step explanation:

erica [24]3 years ago
6 0
I think it’s 12 I’m not sure
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You need to buy a 20-foot length of 15-wide carpet that costs $29.50 per square yard. How much will this cost?
Marianna [84]

The cost of the carpet will be $983.33

<h3>Calculating cost</h3>

From the question, we are to calculate how much the carpet will cost

From the given information,

The carpet has a length of 20 feet

and a width of 15 feet

First, we will covert the dimension to yard

NOTE: 1 foot = 1/3 yards

Thus,

20 feet = 20/3 yards

and

15 feet = 15/5 yards = 5 yards

Now, we will calculate the area of the carpet

Using the formula,

Area = Length × Width

Area of the carpet = 20/3 × 5 square yard

Area of the carpet = 33.33 square yard

Now, we have that

The carpet costs $29.50 per square yard

∴ The cost of the carpet = 20/3 × 5 × $29.50

The cost of the carpet = $ 983.33

Hence, the cost of the carpet will be $983.33

Learn more on Calculating cost here: brainly.com/question/24458165

#SPJ1

8 0
2 years ago
Kent pedaled his new bicycle at 7 miles per hour. How may feet per hour is this?SHOW YOUR WORK!
ki77a [65]
If there are 5,280 feet in one mile, multiply that by 7 to get 36,960 ft
4 0
4 years ago
List 2 different ways to name angle 2 shown below.
nika2105 [10]
The angle could be named these two different ways:

angle CAD or angle DAC.
5 0
3 years ago
13. Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet
VashaNatasha [74]

Answer:

The height of the dog house = 4 feet.

Step-by-step explanation:

Given:

The shape of the dog house is like a tent.

The slant heights of the house is 5 feet.

The bottom of the house is 6 feet across.

To find the height of the dog house at its tallest point.

Solution:

On drawing the figure of the dog house in the shape of a tent, we find out that the tallest point would be at the midpoint of the bottom of the house.

Thus, we ave a right triangle, of which one leg = \frac{6\ ft}{2}=3\ ft and hypotenuse = 5\ ft

<em>Applying Pythagorean theorem to find the measure of the other leg which is the height of the house.</em>

Hypotenuse^2=Leg1^2+Leg2^2

Plugging in values.

5^2=3^2+Leg2^2

25=9+Leg2^2

Subtracting both sides by 9.

25-9=9-9+Leg2^2

16=Leg2^2

Taking square root both sides.

\sqrt{16}=\sqrt{Leg2^2}

4=Leg2

Thus, the height of the dog house = 4 feet.

6 0
4 years ago
Solve for x: two sevenths(x − 2) = 4x
swat32

\bf \cfrac{2}{7}(x-2)=4x\implies \cfrac{2(x-2)}{7}=4x\implies 2(x-2)=28x\implies 2x-4=28x \\\\\\ -4=26x\implies \cfrac{-4}{26}=x\implies -\cfrac{2}{13}=x

6 0
3 years ago
Read 2 more answers
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