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
solmaris [256]
3 years ago
13

A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large

boxes. Each small box has 10 granola bars and each large box has 24 granola bars. The camp bought a total of 17 boxes that have 296 granola bars altogether. Write a system of equations that could be used to determine the number of small boxes purchased and the number of large boxes purchased. Define the variables that you use to write the system.
Mathematics
1 answer:
Irina18 [472]3 years ago
4 0

Answer:

The Answer is: There are 8 small boxes and 9 large boxes. See explanation below for variables and variable definitions.

Step-by-step explanation:

Let s = small boxes. Let b = large boxes.

s + b = 17

You can solve for s:

s = 17 - b

You can solve for b:

b = 17 - s

10 times the number of small boxes plus 24 times the number of large boxes is equal to 296 granola bars.

10s + 24b = 296

Substitute:

10(17 - b) + 24b = 296

170 - 10b + 24b = 296

14b = 296 - 170

14b =  126

b = 126 / 14 = 9 large boxes

Find the number of small boxes, s:

s = 17 - b = 17 - 9 = 8 small boxes

There are 8 small boxes and 9 large boxes.

Proof:

10(8) + 24(9) = 296

80 + 216 = 296

296 = 296

You might be interested in
Find the value of X, Z and Y.
FromTheMoon [43]

Answer:

x = 5; y = 138, z= 42

Step-by-step explanation:

4x- 17 = 3 [ opposite sides of a parallelogram are equal]

4x = 3+ 17 = 20; X= 20/4 = 5

138 + Z = 180( angle on a straight line)

Z is an alternate angles to the remaining angle off 138 forming the straight line.

z= 180-138 = 42 degrees

Y = 138 [ opposite angles of a regular quadilareral been equal]

6 0
3 years ago
A biology class examined some flowers in a local meadow. They saw 50 flowers, of which 40% were perennials. How many perennial f
a_sh-v [17]

Answer:20

Step-by-step explanation:

No. Of perrenial flowers=50*40%=50*40/100= *20*

5 0
3 years ago
What is the equation of the circle with center (0, 0) that passes through the point (–4, –6)?
Vadim26 [7]

If the center is in point P(a,b) and has a radius r then circle equation is:

(x-a)²+(y-b)²=r².

In your task we've got P(0,0) so the circle equation is x²+y²=r².

We have to find r. Radius start at (0,0) and end at (-4,-6) therefore

r=√((-4)²+(-6)²) and

r²=(-4)²+(-6)²=16+36=52.

So answer is x²+y²=52.

4 0
2 years ago
What are the two main purposes of all business
Anastaziya [24]

Answer:

Because the purpose of business is to create a customer, the business enterprise has two--and only two--basic functions: marketing and innovation.

3 0
2 years ago
Read 2 more answers
X +30=2X-4 <br> solve x<br><br><br><br> .<br> .
MArishka [77]

Answer: X = 34

Step-by-step explanation:

Let's solve your equation step-by-step.

x+30=2x−4

Step 1: Subtract 2x from both sides.

x+30−2x=2x−4−2x

−x+30=−4

Step 2: Subtract 30 from both sides.

−x+30−30=−4−30

−x=−34

Step 3: Divide both sides by -1.

−x

−1

=

−34

−1

6 0
2 years ago
Read 2 more answers
Other questions:
  • How to solve <br> -8x-5+3x=7+4x-9
    11·1 answer
  • Which point is a solution to the inequality shown in this graph? (3,2) (-3,-6)
    10·2 answers
  • Min-Jee is planting two rectangular flower beds. One bed is 2.78 feet by 4.81 feet, and the other bed is 2.78 feet by 5.61 feet.
    11·2 answers
  • A collection of 30 coins worth $5.50 consists of nickels, dimes and quarters. There are twice as many dimes as nickels. How many
    9·1 answer
  • If df=78, de=5x-9, and ef=2x+10, find ef
    12·1 answer
  • HELP ME PLEASE <br> solve the right triangle
    8·1 answer
  • A chemistry teacher needs to mix an acid solution for an experiment. how much hydrochloric acid needs to be mixed with 1500 mill
    12·1 answer
  • 107=(9X-115) +(4x+27)​
    12·1 answer
  • Consider a binomial experiment with n=11 and p=0.3. a. Compute (to 4 decimals). b. Compute (to 4 decimals). c. Compute (to 4 dec
    5·1 answer
  • Jack crawled 4 ft and Christine crawled 3⁄4 the distance Jack crawled. If you add the distance they each crawled together, what
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!