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Jobisdone [24]
3 years ago
13

3x - 5 = 1/2x + 2x solve the equation and please show your work im confused x =___

Mathematics
1 answer:
Darya [45]3 years ago
3 0

Answer:

X=2.5

Step-by-step explanation:

3x - 5 = 1/2x + 2x

3x - 1/2x - 2x = 5

1/2x = 5

X = 5 ÷ 1/2

X = 2.5

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Need help filling in the blanks
Xelga [282]

Answer:

1. $2,520.00

2. 0.0%

3. 3%

4. $661.5

5. $727.00

6. $1,736.96

8. $3,250.00

10. 2%

Step-by-step explanation:

1.

We solve for the original price by solving first for the reverse value of the %off.

In this case we have 2.0% off. To find the reverse value, we first need to convert it to its decimal form.

r = 2.0% or 0.02

Now we solve for the rate by subtracting r to 1.

r = 1 - 0.02

r = 0.98

Now that we have r we divide the discounted price by r.

Original price = 2,469.60 / 0.98

Original price = $2,520.00

2.

Pretty straight forward as the Original price and the Discounted are the same. So there is no discount.

r = 0.0%

3.

To find the rate we first need to subtract the original price to the discounted price to find the decrease.

$850 - $824.50 = $25.50

Now that we have the decrease we can find the rate by using this formula:

r = \dfrac{Decrease}{Original Price}*100

r = \dfrac{25.50}{850}*100

r = 0.03*100

r = 3%

4.

To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.

Discounted Price=OriginalPrice-(OriginalPrice*Rate)

Discounted Price=675-(675*0.02)

Discounted Price=675-13.5

Discounted Price=$661.5

5.

Since the %off is 0.0% then the discounted price is equal to the original price.

$727.00

7.

To find the discounted price we simply multiply the original price to the r and subtract the amount to the original price.

Discounted Price=OriginalPrice-(OriginalPrice*Rate)

Discounted Price=1,888-(1,888*0.08)

Discounted Price=1,888-151.04

Discounted Price=$1736.96

8.

We solve for the original price by solving first for the reverse value of the %off.

In this case we have 3.0% off. To find the reverse value, we first need to convert it to its decimal form.

r = 3.0% or 0.03

Now we solve for the rate by subtracting r to 1.

r = 1 - 0.03

r = 0.97

Now that we have r we divide the discounted price by r.

Original price = 3,152.50 / 0.97

Original price = $3,250.00

10.

To find the rate we first need to subtract the original price to the discounted price to find the decrease.

$4,567.00 - $4,475.66 = $91.34

Now that we have the decrease we can find the rate by using this formula:

r = \dfrac{Decrease}{Original Price}*100

r = \dfrac{91.34}{4567}*100

r = 0.02*100

r = 2%

7 0
4 years ago
Devaughn's age is three times Sydney's age. The sum of their ages is 52. What is Sydney's age?
Alborosie

Answer:

Sydney is 13 and Devaughn is 39

Step-by-step explanation:

13x3=39

39+13=52

8 0
3 years ago
Read 2 more answers
A cube and a square pyramid were joined to form the composite solid. A cube with side lengths of 12 inches. A square pyramid wit
Zepler [3.9K]

Answer:

total surface area = 936 in²

Step-by-step explanation:

total surface area  = surface area of the pyramid + surface area of the cube

1.  surface area of the pyramid = 4 * area of lateral triangle side

area of lateral triangle side = 12 * 9 /

area of lateral triangle side = 54 in²

2. surface area of the pyramid = 4 * 54

surface area of the pyramid = 216 in²

3. surface area of the cube = 5 * (12 x 12)

-surface area of the cube = 720 in²

therefore, the total surface area = 216 in² + 720 in²

total surface area = 936 in²

8 0
4 years ago
Read 2 more answers
Solve the system of equations: y= x^2 + 2x - 3 and y=3x+ 3.
Semenov [28]

Answer:

(-2, -3)

(3, 12)

Step-by-step explanation:

To solve this, we're gonna get rid of the y's with substitution

x² + 2x - 3 = 3x + 3

Let's make this equation equal to zero

Subtract 3 from both sides

x² + 2x - 3 = 3x + 3

            - 3         - 3

x² + 2x - 6 = 3x

Subtract 3x from both sides

x² + 2x - 6 = 3x

    - 3x        - 3x

x² - x - 6 = 0

Factor the equation

(x - 3)(x + 2) = 0

This means x can be -2 or 3

Let's solve it with -2 first, plug the new x in y = 3x + 3

y = 3(-2) + 3

y = -6 + 3 = -3

Do the same for x = 3

y = 3(3) + 3

y = 9 + 3 = 12

3 0
2 years ago
Which value of x makes this equation true? –5(– 20 ) = 35 <br>A. -11<br>B. -3 <br>C. 13 <br>D. 27​
kirza4 [7]

Answer:

c

Step-by-step explanation:

its right

3 0
3 years ago
Read 2 more answers
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