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
Zina [86]
3 years ago
13

The owner of a grocery store wants to mix two kinds of candy together to make 15 lb that he can sell for $5.00 per lb. He wants

to use chocolate candies that he sells for $7.00 per lb and sugar candies that he sells for $2.00 per lb. How many pounds of each should the owner use?
_ pounds of chocolate candies
_ pounds of sugar candies
=OWO=
Mathematics
2 answers:
jeyben [28]3 years ago
6 0

Answer:

9lb chocolate candies

6lb sugar candies

Step-by-step explanation:

Yes, I also happen to go to RSM. (6b)

Equation: 7x+2(15-x)=5*15

Solve:

7x+(2)(15)+(2)(−x)=(5)(15)

7x+30+(−2x)=75

(7x+(−2x))+(30)=75

5x+30=75

5x=45

x=9lb chocolate candies

Now, calculate the sugar candies.

15-9=6lb sugar candies

Zarrin [17]3 years ago
3 0

Answer: 9 pounds of chocolate and 6 pounds of sugar candies

Let's define the variables:

C = pounds of chocolate candies used.

S = pounds of sugar candies used.

We know that he wants to make a total of 15lb, then:

C + S = 15

We also want that the price per pound to be equal to 5$.

This means that the price of the 15 pounds will be the same as the price of the un-mixed candies.

C*$7.00 + $2.00*S = $5.00*15

Then we have a system of equations:

C + S = 15

C*$7.00 + $2.00*S = $5.00*15

To solve this system, we need to start by isolating one of the variables, i will isolate C in the first equation:

C = 15 - S

now we can replace that in the other equation:

(15 - S)*$7.00 + $2.00*S = $5.00*15

Now we can solve this for S.

$105 - $5.00*S = $75

$105 - $75 = $5.00*S

$30 = $5.00*S

$30/$5 = S = 6

Then there are 6 pounds of sugar candy, and we can use the equation:

C + S = 15

C + 6 = 15

C = 15 - 6 = 9

There are 9 pounds of chocolate candy in the mix.

Step-by-step explanation:

You might be interested in
Find the midpoint of the following segment created by these pairs of endpoints: (0, 1), (0, 5)
lyudmila [28]
I believe it is 1, but i'm not completely sure.
4 0
3 years ago
Read 2 more answers
Boeing currently produces five models of airplanes for commercial sale. The airline that Lauren works for is rapidly expanding a
Sedbober [7]

Answer:

The number of combinations will she have to analyze is  10.

Step-by-step explanation:

We know that Boeing currently produces five models of airplanes for commercial sale.  The airline that Lauren works for is rapidly expanding and would like to purchase three airplanes of different models to service various routes.  We calculate the number of combinations will she have to analyze.

C^5_3=\frac{5!}{3!(5-3)!}=\frac{5\cdot 4\cdot 3!}{3!\cdot 2\cdot 1}=10

The number of combinations will she have to analyze is  10.

4 0
3 years ago
Is 12/42=10/35 a true proportion
olya-2409 [2.1K]
Yes, they both are 2/7

Proof: Left-hand side

Simplify the following:
12/42

The gcd of 12 and 42 is 6, so 12/42 = (6×2)/(6×7) = 6/6×2/7 = 2/7:
Answer:  2/7
Right-hand side:

Simplify the following:
10/35
The gcd of 10 and 35 is 5, so 10/35 = (5×2)/(5×7) = 5/5×2/7 = 2/7:
Answer:  2/7
3 0
3 years ago
6. Write the factors of 36. Separate the factors with commas. ​
faltersainse [42]
1,2,3,4,6,12,18,36 are the factors!
8 0
3 years ago
Cos/1+Sin = 1-Sin/Cos
ValentinkaMS [17]

Answer:

if you are asking for true or false it would be false

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Select correct answer
    13·2 answers
  • Each cookie costs $0.75 less than the normal price. Right now if you buy 7 of them it will only cost you $2.80!
    5·1 answer
  • Please help ill give u a ( b r i l l i a n t)
    5·1 answer
  • 0.4 (-4.1 - 3.6b) - 7.9b + 1.59<br><br>-7.7<br><br>-5.7<br><br>5.7<br><br>3.6​
    8·1 answer
  • B. 13(y−10)=−4<br> 1<br> 3<br> (<br> y<br> -<br> 10<br> )<br> =<br> -<br> 4<br> y =
    5·1 answer
  • 10. help a 8th grader outt please ill mark you brainlist
    10·1 answer
  • g Suppose that you randomly selected 20 adults. If 18% of the population smoke, a) Using the Range Rule of Thumb, what is the mi
    7·1 answer
  • According to a study in a medical journal, 202 of a sample of 5,990 middle-aged men had developed diabetes. It also found that m
    11·1 answer
  • Find the distance between the points (-6, -3) and (3,9).
    14·2 answers
  • A local flower shop advertises that 4 out of every 5 flower seeds will grow. If Janie plants 40 of these flower seeds in her gar
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!