All categories

3 years ago

the product of 8 and the sum of 4 and a number is 112. What is the number? Which equation could be used to solve for the number?

2 answers:

4 0

Product of 8 and the sum of 4 and a number:

sum of 4 and a number: (4 + n)

Product of 8

8 x (4 + n) is 112

8 x (4 + n) = 112

Distribute

32 + 8n = 112

Subtratc

8n = 80

Divide by 8

n = 10

The number is 10, and next time please put options because it says "Which equation could be used to solve for the number?" Thanks! :)

lozanna [386]3 years ago

3 0

Answer:

$x=10$

$8(4+x) = 112$

Step-by-step explanation:

the product of 8 and the sum of 4 and a number is 112

LEt x be the unknown number

the sum of 4 and a number

Sum means addition, so we add 4 and x

$4+x$

product of 8 and sum 4+x

product means multiplication

$8(4+x)$

8(4+x) is equal to 112

$8(4+x) = 112$ is the equation used to solve for the number

We solve for x

$32 + 8x = 112$

Subtract 32 on both sides

$8x=80$

divide by 8 on both sides

$x=10$

You might be interested in

A valet makes $56 each day that she works and makes approximately $6 in tips for each car that she parks. If she wants to make a

kirill [66]

She needs to park 16 cars.

$152- 56 = 96

96/6= 16

8 0

2 years ago

Write the fraction 7/8 as an equivalent fraction with the given denominator 40

Mekhanik [1.2K]

Answer:

35/40

Step-by-step explanation:

7/8, with the given denominator 40

So how do we get 8, to turn into 40?

Simple multiplication.

8x5 = 40, and whatever we multiply times the denominator, we multiply for the numerator.

7x5 = 35

The answer should be 35/40

8 0

2 years ago

Sierra’s ice cream shop made $45 before she had to close early when the power went out. She realized she lost Two-thirds of a do

lozanna [386]

Answer:

Sierra's profit was $41.

Step-by-step explanation:

Sierra realized she lost two-third of a dollar each hour when the shop was closed.

The expression that models this situation is, ............. (1)

Now, we have to calculate Sierra's profit if the shop was closed for 6 hours.

So, putting h = 6 hours in the equation (1) we get,

dollars.

So, Sierra's profit was $41. (Answer)

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

The school cafeteria gave some of the students a survey. 9 out of 10 students said hot dogs was their favorite lunch choice. Wha

Kay [80]

The answer would be “most of the students in the school said hot dogs are their favorite lunch” since 9 out of 10 is the vast majority.

4 0

1 year ago

Read 2 more answers

7. License Plate Laws The Chapter Problem involved passenger cars in Connecticut and passenger cars in New York, but here we con

sergejj [24]

Yes it is true that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars because null hypothesis is rejected.

Given among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates.

let $p_{1}$ be the probability that commercial cars have rear license plates and $p_{2}$ be the probability that connected trucks have rear license plates.

Cars Trucks Total

Total 2049 334 2383

x 239 45 284

p 0.1166 0.1347 0.1191

α=0.05

Hypothesis will be :

$H_{0}:p_{1} =p_{2}$

$H_{1} :p_{1} < p_{2}$

It is a left tailed test at 0.05 significance.

Standard errors of p= $\sqrt{p(1-p)/n}$

= $\sqrt{(0.1191*0.8809)/2383}$

= $\sqrt{0.1049/2383}$

=0.0066

Test statistic Z=p difference/standard error

=(0.1166-0.1347)/0.0066

=-0.0181/0.0061

=-2.967

p value=0.001505<5%

Since p is less than 5% we reject null hypothesis.

We cannot calculate standard deviation so we cannot calculate confidence interval.

Hence there is statistical evidence at 5% significance level to support that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars.

Learn more about z test at brainly.com/question/14453510

#SPJ4

5 0

1 year ago