Please help me asap!!!

12 less than the quotient of a number and seven is -2 find the number

kiruha [24]

A quotient is the result of a division.
Let the unknown number be x.

We translate the problem into an equation, piece by piece.

"quotient of a number and seven" ----> x/7

"12 less than the quotient of a number and seven" ----> x/7 - 12

The word "is" means "="
x/7 - 12 =

All the above is -2, so it equals -2.

x/7 - 12 = -2

$\dfrac{x}{7} - 12 = -2$

First, add 12 to both sides and simplify.

 $\dfrac{x}{7} - 12 + 12 = -2 + 12$


 $\dfrac{x}{7} = 10$ 

Next, multiply both sides by 7.

$\dfrac{x}{7} \times 7 = 10 \times 7$

$x = 70$

Answer: The number is 70.

5 0

3 years ago

Read 2 more answers

Identify all the intercepts for the following function

Triss [41]

Where are the intercepts

8 0

3 years ago

To make a certain shade of orange calvin uses a rate of 2 ounces of yellow paint to 5 ounces of red paint if he uses 200 ounces

ycow [4]

Answer: 80 ounces of yellow paint

Working:
As we know 2 ounces of yellow paint to 5 ounces of red paint, we can make a ratio:

2:5

Then we look at the question which says 200 ounces of red paint, so we replace the 5 ounces of red paint in the ratio with 200.

2:200

Then we figure out how much the 5 has been multiplied by to get to 200. We do this by doing

200 divide 5 = 40

Therefore we times the 2 ounces of yellow paint by 40 which gets us:

80:200

We can think of it as a fraction too to confirm our answer:

Simplify 80 / 200

We get 2 / 5.

If you need me to further explain something please just ask :)

4 0

2 years ago

In a bolt factory, machines 1,2, and 3 respectively produce 20%, 30% and 50% of the total output. of their respective outputs 5%

lorasvet [3.4K]

Answer:

a. 1/10 or 10%

b. 1/2 or 50%

Step-by-step explanation:

Since the combination of machines 1, 2 and 3 produce 100% of the total output when added together, then the probability of choosing a bolt at random that is defective is: 5 + 2 + 3 = 10% out of 100% or 10/100, which is 1/10 or 10%.

If the bolt that is choosen at random is defective, than the probability that it came from machine 1 is 5/10 or 1/2 which is also 50%.

3 0

3 years ago

Helpppp pleaseeeee and could you put an explenation??? pleaseeee

Illusion [34]

Answer:

Step-by-step explanation:

The angles would be supplementary

45 + 5x + 35 = 180

5x + 80 = 180

5x = 100

x = 20

To find out why they are supplementary, refer to the transversal below

∠3 = ∠7 (corresponding angles)

∠8 = 180 - ∠7 (supplementary angles)

And since ∠7 = ∠3...

∠8 = 180 - ∠3 which is why (in the problem) those two angles are supplementary (adding to 180 degrees)

4 0

2 years ago