1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
anygoal [31]
3 years ago
10

Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is s4. There is also a singl

e shipping charge of $2. How many books can he afford without spending more than his gift voucher amount?
Mathematics
2 answers:
murzikaleks [220]3 years ago
4 0
Well, 4 times 7 is 28 and then plus 2 is 30! Therefore, he buy at the most 7 books.
Dima020 [189]3 years ago
4 0

General Idea:

When we are working with word problems, we need to follow the below steps:

<u>Step 1:</u> Assign variable for the unknown that we need to find.

<u>Step 2:</u> Write a meaningful mathematical equation using the sentence given

<u>Step 3:</u> Solve the equation by Performing reverse operation by Undoing whatever is done to the variable. Solving means find the value of the variable which will make the equation TRUE.

Applying the concept:

Step 1: Let x be the number of books that Brett can afford without spending more than his gift voucher amount.

Step 2: Writing mathematical equation based on the given sentence "Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2"

Online \; Gift \; Voucher=Number \; of  \; books  \; \times  \; Cost\;per \; Book \; + \; Single \; shipping \; charge

30=4x+2

Step 3: Solving equation

4x+2=30\\ Subtract \; 2 \; on \; both \; sides\\ \\ 4x+2-2=30-2\\ Combine \; like \; terms\\ \\ 4x=28\\ Divide  \; 4 \; on \; both \; sides\\ \\ \frac{4x}{4}= \frac{28}{4} \\ Simplifying  \; fraction \; on \; both \; sides\\ \\ x=7

Conclusion:

The number of books that Brett can afford without spending more than his gift voucher amount is <u>7</u> !!


You might be interested in
Lamar pays 15.60 for a pack of 6 towels. Find the unit price in dollars per towel. If necessary, round your answer to the neares
soldi70 [24.7K]

Divide total price by quantity:


15.60 / 6 = 2.60

Unit price = $2.60

7 0
2 years ago
Montoya Construction needs to borrow $375,000 to build a road to install utilities in a small subdivision. It borrows the funds
MissTica

Step 1

Given;

\begin{gathered} \text{Principal(p)= \$375000} \\ \text{First rate = 8\%=}\frac{8}{100}=0.08 \\ \text{Second rate = 20\%= }\frac{20}{100}=0.2 \\ \text{Time}=\frac{90}{365}=\frac{18}{73} \end{gathered}

Required; To find the difference in interest between the two periods.

Step 2

State the formula for simple interest

A=P(1+rt)

Step 3

Find the interest when the rate is 8%

\begin{gathered} A=375000(1+(0.08\times\frac{18}{73}) \\ A=375000(1+\frac{36}{1825}) \\ A=\text{\$}382397.26 \end{gathered}

Therefore the interest is given as;

A-P=382397.26-375000=\text{\$}7397.26

Step 4

Find the interest in 1980 with a 20% rate

\begin{gathered} A=375000(1+(0.2\times\frac{18}{73}) \\ A=\text{\$}393493.15 \end{gathered}

The interest is given as;

A-p=393493.15-375000=\text{\$}18493.15\text{ }

Step 5

Find the difference in interest between the two rates.

\text{\$}18493.15-\text{\$}7397.26=\text{\$}11095.89

Hence, the difference in interest between the two rates = $11095.89

4 0
1 year ago
wai and kuri were digging in the sand at the beach. wai dug a hole that was 15 inches below the surface and kuri dug a hole that
xxTIMURxx [149]

Answer: Wai's hole is 6 inches deeper. (-6)

Step-by-step explanation:

15 minus 9  is equal to 6 so the difference is negative 6 inches

7 0
3 years ago
1. On which road would there be a larger standard deviation in speed: a backroad or an interstate? Justify your answer
White raven [17]

Answer:

Your answers may vary slightly. 5.2 Normal Distributions: Finding Probabilities If you are given that a random variable Xhas a normal distribution, nding probabilities corresponds to nding the area between the standard normal curve and the x-axis, using the table of z-scores. The mean (expected value) and standard deviation ˙should be given

Step-by-step explanation:

7 0
3 years ago
If tanisha has $100 to invest at 8% annum compounded monthly, how long will it be before she has $150?
marissa [1.9K]

An exponential behavior can be observed.

Let x be the number of years she has to wait.

100((1+0.08/12)^12x) = 150

Now solve for x.

log base 1.08/12 of 1.5 = 61.02 approx

12x=61.02

x=5.09 years

4 0
3 years ago
Other questions:
  • Mario went on a hike with his friends day hike to. 24 miles an hour for eight hours how many miles the day hiking all
    9·2 answers
  • From January to June, a company spent $60.00 per month on office supplies. In July, the price of office supplies increased by 15
    9·2 answers
  • How do you graph a line with one number y= -4
    15·1 answer
  • Consider a data set with at least three data values. Suppose the highest value is increased by 10 and the lowest is decreased by
    9·2 answers
  • A company has two large computers. The slower computer can send all the company's email in 45 minutes. The faster computer can c
    11·1 answer
  • The slope of a line parallel to y = 7x + 8 is
    8·1 answer
  • How to get these variables?
    11·1 answer
  • How do I resolve this?
    15·1 answer
  • Help! I wasnt at school when my teacher taught me how to do this and i don’t understand. We have to find all the missing angles.
    8·1 answer
  • Look at this inequality.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!