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
choli [55]
4 years ago
14

On a car trip, Ben drove 65 miles more than half the number of miles Steve drove. Together they drove 500 miles. How many miles

did Ben drive?
Mathematics
1 answer:
tatyana61 [14]4 years ago
7 0

Answer:

210 miles

Step-by-step explanation:

Let's represent it mathematically.

Ben drove 65 miles more than half the number of miles Steve drove, so we represent it by

B = 65 + ½S

It is also said that together, they drove 500 miles, we represent it with.

B + S = 500

Now, we solve simultaneously.

Let's eliminate the ½ in Ben's drive. So we multiply the equation by 2.

2B = 130 + S.

Rearranging, we have

S = 2B - 130.

We substitute this value of S, in the second equation. So we have.

B + (2B - 130) = 500, open the brackets

B + 2B - 130 = 500

3B - 130 = 500, collecting the like terms

3B = 500 + 130

3B = 630

B = 630/3

B = 210 miles.

Therefore, Ben drove 210 miles.

Kindly vote Brainliest.

You might be interested in
Can somebody help me with unit rates<br><br><br>what is the unit rate
marishachu [46]
Your unit rate is 1.08
4 0
3 years ago
Write an equivalent expression for 6(x + 2) + 2
Alexxandr [17]

Answer: 6x + 14

Step-by-step explanation:

5 0
3 years ago
each month luke earns a salary of 3500 plus 15%at the total ampount of his sales for the month luke earned 4760 in march .what w
sineoko [7]
Hey. Let me help you on this one.

In order for us to solve this problem, we will need to determine how much money Luke has earned from the sales this month, and find the total amount of sales in dollars.

I will also be attaching an image to this answer in case you still don't understand the question, or need extra help with your studies.

We know that Luke's salary is $3500, and anything above that amount of money comes from sales he makes. We also know that he only gets 15% from sales. Let's determine how much he earned from sales this month.

4760-3500=1260

Luke has earned $1260 from the sales he made. Since it's only 15% of the full amount, we need to convert this value to 100%. We can do this by finding 1% of the unknown number, and multiplying it by 100 to show the full amount of sales.

Let's find 1% of the total amount of sales. Since 1260 is 15% of the unknown total, let's divide it by 15.

\frac{1260}{15} =84

Great. $84 is 1% of the total amount of sales. All we need to do is multiply it by 100 to show 100% of the total amount of sales.

84*100=8400

Awesome. We now know the amount of sales in dollars that Luke has brought to the company.

Answer: Total amount of Luke's sales in dollars is $8400

5 0
3 years ago
-7n - 15 ≥ 21? <br><br> n ≥ -4 <br> n ≥ 7.2 <br> n ≤ -4 <br> n ≤ 4
ollegr [7]

               - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\diamond\large\textsf{\textbf{Question:-}}}}

-7n-15≤21. find n

\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}

 ❖ Add 15 to both sides:-

      -7n≤21+15

        -7n≤36

❖ Now divide by -7 on both sides:-

               n≥-5.14 or

                n≥-5

The inequality sign changed because we divided both sides by a negative number.

<h3>Good luck.</h3>

        - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - - -

7 0
2 years ago
When I get multiplied by any number, the sum of the figures in the product is always me. What am I?
vladimir1956 [14]

Answer: 9

Step-by-step explanation:

When you multiply 9*9, you get 81 whose sum is 9 (8+1)

Likewise, 9*8=72( 7+2=9)

8 0
3 years ago
Read 2 more answers
Other questions:
  • you put $400 in an account. the account earns $18 simple interest in 3 years. what is the annual interest​
    11·1 answer
  • You have $20 in your bank account and start saving $25 each month. Your brother has $60 in his bank account and starts saving $1
    15·2 answers
  • What is 3/4x9/13 in simplest form
    13·1 answer
  • Show me in equation that 2 is a factor of 8
    10·1 answer
  • Solve the system of linear equations by substitution.<br><br><br> 3x−2y=15<br> y=2x−11
    12·1 answer
  • Find the area of the shaded region
    14·1 answer
  • Which expression and diagram represent “three times a number”?
    12·2 answers
  • Part B: Given the following graphs. How does the Graph A compare to Graph B? Graph B has a ___ shift 3 units ___ Graph A. Separa
    15·1 answer
  • Express sqrt(-7-24i) in the form of a+bi, where a and b are real numbers
    13·1 answer
  • The y –intercept of the function is_____________.<br> A. (0,0)<br> B. (0,2)<br> C. (2,0)<br> D. none
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!