All categories

3 years ago

A number is multiplied by 16, and that product is added to 8. The sum is equal to the product of 4 and 10. Find the number.

1 answer:

5 0

Your sum is 4 times 10, or 40. We want to end up with 40. Subtract 8 because you added 8 before to work backwards. You get 32. Divide by 16 because the opposite of multiplication is division. You would get 2.

You might be interested in

The average value of two positive numbers is 30% less than one of the two numbers. By which percentage is average value bigger t

Viefleur [7K]

Answer:

75% bigger

Step-by-step explanation:

Let the first number be x and the second be y.

So:

$Average = \frac{x + y}{2}$

And:

$Average = (1 - 30\%) * x$ -----30% less than x

Substitute $Average = (1 - 30\%) * x$ in $Average = \frac{x + y}{2}$

$\frac{x + y}{2} = (1 - 30\%) * x$

$\frac{x + y}{2} = (1 - 0.30) * x$

$\frac{x + y}{2} = 0.70 * x$

$\frac{x + y}{2} = 0.70x$

Cross multiply

$x + y = 0.70x * 2$

$x + y = 1.40x$

Collect like terms

$1.40x - x = y$

$0.40x = y$

Make x the subject

$x = \frac{y}{0.40}$

$x = 2.50y$

So, the average is:

$Average = (1 - 30\%) * x$

$Average = (1 - 30\%) * 2.50y$

$Average =0.70 * 2.50y$

$Average =1.75y$

Rewrite as:

$Average =(1 + 0.75)y$

Express as percentage

$Average =(1 + 75\%)y$

This means that the average is 75% bigger than the second number

6 0

2 years ago

Round to the nearest hundredth 12.062

Vikki [24]

12.06
why? well 6 is the hundredths place and you go over 1 to the 2 which is less than 5 so u dont change it

3 0

3 years ago

Read 2 more answers

Someone please helpp meeeee?!?!!

Marianna [84]

Answer:

Goodluck I had this before and couldn't get it

8 0

2 years ago

Read 2 more answers

Question is in picture

Maslowich

Step-by-step explanation:

you're multiple times a day po

3 0

2 years ago

Read 2 more answers

A group of workers can plant 5/8 acres in 4/5 days. What is the unit rate in acres per day?

Mila [183]

In order to find the unit rate of acres per day, or in other words, how many acres can they plant in one day, you must divide 5/8, the number of acres planted, by 4/5, the number of days it took to plant. When you divide the two fractions, first set up an expression:
5/8<span>÷4/5

Then, to make things simpler, turn the division expression into a multiplication statement so that you have 5/8*5/4. Then multiply straight across and you get your answer as 25/32. This means that the workers can plant 25/32 acres per day.</span>

3 0

3 years ago