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muminat
3 years ago
7

Enter the value for x that makes the equation 1/2 (4x+12)+5x=30 true.

Mathematics
1 answer:
8090 [49]3 years ago
8 0
First, distribute the (1/2) into (4x+12) by multiplying them.

The equation becomes:

2x + 6 + 5x = 30

On the left side, combine “like terms” through addition.

7x + 6 = 30

Subtract 6 from both sides:

7x = 24

Finally, get x alone by dividing both sides by 7:

x = 24/7, or if you wanted to round the decimal answer, it’s about 3.429.
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It takes four steps to factor 48 – 3y 4 completely. Using complete sentences and the appropriate vocabulary, explain each of the
Nezavi [6.7K]

Answer:

3(2 - y)(2 + y)(4 + y²)

Step-by-step explanation:

48 - 3y⁴

Take 3 common:

3(16 - y⁴)

16 is 4² and y⁴ is (y²)²

3(4² - (y²)²)

Using a² - b² = (a - b)(a + b)

3(4 - y²)(4 + y²)

Again, 4 = 2²

3(2² - y²)(4 + y²)

3(2 - y)(2 + y)(4 + y²)

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3 years ago
A cherry pie is taken out of the oven with an internal temperature of 350°F. It is placed on a rack in a room with a temperature
IrinaVladis [17]
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3 years ago
The temperature in Celsius would be,
elena-14-01-66 [18.8K]

First derisive the equation for C

\\ \sf\longmapsto F=\dfrac{9}{5}C+32

\\ \sf\longmapsto C+32=\dfrac{5}{9}F

\\ \sf\longmapsto C=\dfrac{5}{9}F-32

  • F=101F

\\ \sf\longmapsto C=\dfrac{5}{9}101-32

\\ \sf\longmapsto C=\dfrac{505}{9}-32

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8 0
3 years ago
Here’s the other one :)
Naddik [55]

I believe the answer is 2(15t).

4 0
3 years ago
Read 2 more answers
Sophie pays m dollars to rent a car for the weekend on the drive home she buys $45 worth of gasoline her friend melody pays for
Hoochie [10]

Complete Question

Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $45 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.

Answer:

1/2m + 45

Step-by-step explanation:

We are told in the question that:

On the drive home, she buys $45 worth of gasoline.

Her friend Melody pays for one-half the cost of the car rental only.

Sophie pays m dollars to rent a car for the weekend.

The amount sophie pays for car rental = m - 1/2m

= 1/2m

Therefore, the expression used to determine how much sophie spent is written as:

1/2 × $m + $45

1/2m + 45

4 0
3 years ago
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