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Deffense [45]
3 years ago
15

For the problem 4 x 2/3, Dawn says the answer is 6. Marry Anne says the answer is 3 1/3. Stacy says it is 2 2/3. Who is correct?

Mathematics
2 answers:
Anettt [7]3 years ago
8 0

Answer:

  • Stacy is correct

Step-by-step explanation:

<u>Solving the problem</u>

  • 4×2/3 =
  • 8/3 =
  • 2 2/3

Stacy is correct

sasho [114]3 years ago
4 0

Answer:

\huge 4 \times  \frac{2}{3}  =  \frac{8}{3}  =\boxed{2 \frac{2}{3} }

<h2>Hence, Stacy is correct.</h2>
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What is 3600x0+1=2? <br> thanks i appreciate it
ddd [48]

Answer:

actually it = 1 but there's your answrr

Step-by-step explanation:

3600x0 = 0

0+1=1

7 0
3 years ago
A company rents out 15 food booths and 20 game booths at the country fair. The fee for a food booth is $100 plus $5 per day. The
Gennadij [26K]

Answer:

So the required expression is $(150 + 12d)

Step-by-step explanation:

Total Food booths rented = 15

Total game booths rented = 20

Fixed one day food booth Price = $100

Per day price of food booth = $5

Fixed one day game booth Price = $50

Per day price of game booth = $7

Total No of days = d

To write an expression the company paid for  both in dollars

As we have got the no of days

So Company paid Money for d days for food booth = Total days * price per day

                                                                              = d * $ 5

                                                                              =$ 5 d


So Company paid Money for d days for game booth = Total days * price per day

                                                                              = d * $ 7

                                                                              =$ 7 d

Total Paid for food booth = Fixed price + D days Price

                                          = $ 100 + $ 5d

Total Paid for game booth = Fixed price + D days Price

                                          = $ 50 + $ 7d

Total Company Paid = Total Paid for food booth + Total Paid for game booth

putting in the values gives us                  

Total Company Paid = $(100 + 5d) + $(50 +7d)

Adding the similar terms gives

Total Company Paid = $(100 + 50) + $(5d +7d)

Total Company Paid = $(150 + 12d)

So the required expression is $(150 + 12d)

7 0
3 years ago
A linear equation in two variables has infinitely many solution the set of all solutions to a linear equation in two variables f
Greeley [361]
<span>1, During a 1-hr television program, there were 22 commercials, Some commercials were 15 sec and some were 30 sec long. Find the number of 15- sec commercials and the number of 30 sec commercial if the total playing time for commercial was 9.5 minutes.

</span>a) <span>show how to formulate your system of equations for your problem,

Answer:
- state the variables: x number of 15 sec commercials, y number of 30 sec commercials
- translate the word statement into algebraic language

b) state the two equations:

- translate the word statement into algebraic equations:

</span><span>* there were 22 commercials => x + y = 22
* the total playing time for commercial was 9.5 minutes => 15x + 30y = 9.5*60 </span><span>

Answer:
Equation (1) x + y = 22
Equation (2) 15x + 30y =  570

c) state which method you will use to solve either addition or substitution

Answer:
adition: multiply the first equation times - 15 and add the two equations.

d) solve your system showing and explaining each step of the process

Answer:
- muliply eq (1) times - 15

-15x - 15y = - 330

- add that to the eq (2):

-15x + 15x - 15y + 30y = -330 + 570

- add like terms: 15y = 240

- divide both members by 15: 15y/15 = 240 / 15 => y = 16

- replace y = 16 in eq I(1) => x + 16 = 22 => x = 22 - 16 = 6

Solution: x = 6, y = 16

e) Be sure to check your solution!

x + y = 22
6 + 16 = 22
22 = 22 --> check

15x + 30y = 9.5*60
15(6) + 30(16) = 570
90 + 480 = 570
570 = 570 ---> check

f) Once a solution is found explain what this solution means in the context of the problem, write the answer to the word problem in words</span><span>

The solution means that d</span><span>uring a 1-hr television program, there were</span><span> 6 commercials of 15 sec and 16 commercials of 30 sec.

2, How many quarts of water should be mixed with a 30% vinegar solution to obtain 12 qt of a 25% vinegar solution. (Hint: water is 0% vinegar).</span>

a) variables:

- state the variables
x: number of quarters of water
y: number of quarters of vinegar

- translate the words into mathematical language

12 qt 25% vinegar solution

=> total number of quarts = 12 = x + y

balance in vinegar:

vinegar from water + vinegar from 30% vinegar solution = vinegar in the 25% vinegar solution

0 + 0.3y = 0.25 (x + y)

c) Equations

Eq (1) x + y = 12

Eq (2): 0.3y = 0.25x + 0.25y

=> 0.25x - 0.05y = 0

d) solve

- multiply eq (1) times 0.05 and add to eq (2)

0.05x + 0.05y = 0.6
0.25x - 0.05y = 0
------------------------
0.30x = 0.6

x = 0.6 / 0.3 = 2

x + y = 12 => y = 12 - y = 12 - 2 = 10

Solution: x = 2, y = 10

e) check:

x + y = 12
2 qt + 10qt = 12 qt
12 qt = 12 qt ---> check

vinegar:

10*0.3 = 12*0.25
3 = 3 -> check

f) Explanation of the solution

The solution means that you have to mix 2 qts of water with 10 qts of 30% vinegar solution to obtain 12 qt of 25% vinegar solution.

5 0
3 years ago
Emmet went blueberry picking along a 3-mile walking path. He picked blueberries steadily along the walk. When he was finished, h
ehidna [41]

Answer:

16 2/3 ounces

Step-by-step explanation:

Emmet collected 50 ounces of strawberries along a 3 mile walk, he collected 50/3 = 16 2/3 ounces of strawberries each mile

5 0
3 years ago
How do I compete the two-way table for #4
mafiozo [28]
The number under 56 would be 3, the number under that would be 59, the number above 7 would be 42, the number to the right of 42 would be 98, the number under 10 would be 108. I think that's all of them, let me know if you have any questions :)
5 0
3 years ago
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