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tresset_1 [31]
3 years ago
13

Enrique is making a party mix that contains raisins and nuts. For each ounce of nuts, he uses twice the amount of raisins. How m

any ounces of nuts and how many ounces of raisins does he need to make 24 ounces of party mix? Use the graph to solve the system of equations you develop, then enter your solution below.
Mathematics
1 answer:
pantera1 [17]3 years ago
6 0

Answer:

16

Step-by-step explanation:

x+2x=24

x=8

2x=raisins=16

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Read 2 more answers
5x – 12y – 17 = 0<br> 1*9(x + 2) - (y + 1) + 3 = 0
valentina_108 [34]

Answer: x=\frac{12y+17}{5}

y=\frac{-5x+17}{-12}

x=\frac{y-20}{9}

y=9x+20

Step-by-step explanation:

5x-12y-17=0 (plus 17 from both sides)

5x-12y=17 (plus 12y from both sides)

5x=12y+17 (divide 5 from everything)

x=\frac{12y+17}{5}

5x-12y-17=0 (plus 17 from both sides)

5x-12y=17 (minus 5x from both sides)

-12y=-5x+17 (divide everything by -12)

y=\frac{-5x+17}{-12}

1*9(x+2)-(y+1)+3=0 (distribute 9 to x and to 2) (distribute -1 to y and to 1)

1*9x+18-y-1+3=0 (times 9x by 1)

9x+18-y-1+3=0 (combine like terms)

9x-y+20=0 (minus 20 from both sides)

9x-y=-20 (plus y to both sides)

9x=y-20 (divide 9 from both sides)

x=\frac{y-20}{9}

1*9(x+2)-(y+1)+3=0 (distribute 9 to x and to 2) (distribute -1 to y and to 1)

1*9x+18-y-1+3=0 (times 9x by 1)

9x+18-y-1+3=0 (combine like terms)

9x-y+20=0 (minus 20 from both sides)

9x-y=-20 (minus 9x from both sides)

-y=-9x-20 (divide -1 from everything)

y=9x+20

3 0
3 years ago
Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p
nekit [7.7K]

Answer:

Required inequality is 4800+183x>8000.

Step-by-step explanation:

Given that Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a policy she sells is $6,100. Write an inequality to find how many policies Mrs. Robinson must sell to make an annual income of at least $8,000.

Calculation is given by:

Salary per year = $4,800

Average price of a policy = $6,100.

commission on her sales = 3%

Then commission on $6,100 = 3% of $6,100 = 0.03 ($6,100) = $183

Let number of policies Mrs. Robinson must sell to make an annual income of at least $8,000 = x

then total commission on x policies = 183x

Total income using x policies = 4800+183x

Since she wants to make an annual income of at least $8,000. so we can write inequality as:

4800+183x>8000

Hence required inequality is 4800+183x>8000.

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