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love history [14]
2 years ago
11

A 96-ounce container of orange juice cost $4.80. At what price should a 128-ounce container be sold in order for the unit rate f

or both containers to be the same
Mathematics
2 answers:
erica [24]2 years ago
3 0
<span>96-ounce container of orange juice cost $4.80
</span><span>128-ounce ................................................?

4.80 x 128 / 96 = $6.40

answer
</span>$6.40 - <span>128-ounce container</span>
kotegsom [21]2 years ago
3 0
$4.80/96oz = $X / 128 oz

We cross multiply to find $X, i.e. multiply the left-hand side by 128 oz,
$X=128 oz * $4.80/ 96oz =$ (128*4.8/96) = $6.40

Answer : $6.40 / 128 oz  would have the same unit price as $4.80 / 96 oz.

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a square painting has an area of 81x^2-90x-25. A second square painting has an area of 25x^2+30x+9. What is an expression that r
galina1969 [7]

Answer:

The answer in the procedure

Step-by-step explanation:

Let

A1 ------> the area of the first square painting

A2 ---->  the area of the second square painting

D -----> the difference of the areas

we have

A1=81x^{2}-90x-25

A2=25x^{2}+30x+9

case 1) The area of the second square painting is greater than the area of the first square painting

The difference of the area of the paintings is equal to subtract the area of the first square painting from the area of the second square painting

D=A2-A1

D=(25x^{2}+30x+9)-(81x^{2}-90x-25)

D=(-56x^{2}+120x+34)

case 2) The area of the first square painting is greater than the area of the second square painting

The difference of the area of the paintings is equal to subtract the area of the second square painting from the area of the first square painting

D=A1-A2

D=(81x^{2}-90x-25)-(25x^{2}+30x+9)

D=(56x^{2}-120x-34)

4 0
2 years ago
Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spen
Irina-Kira [14]
Hi there!

PART A:
The system of equations we would use would be:
x + y = 22 (amount of items)
3x + 1y = 30 (cost)

Variables:
x = the amount of strawberry wafers bought at the price of $3
y = the amount of chocolate wafers bought at the price of $1

PART B:
To solve, we'll use substitution because we can easily isolate a variable using the first equation.

Work:
x + y = 22 (first equation)
y = 22 - x (isolating a variable)
3x + 1y = 30 (second equation)
3x + (22 - x) = 30 (substituting into the second equation)
2x + 22 = 30 (simplifying)
2x = 8 (subtracting)
x = 4 strawberry wafers
4 + y = 22 (substituting x into the first equation to solve for y)
y = 18 chocolate wafers

ANSWER:
They bought 4 strawberry wafers and 18 chocolate wafers.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
8 0
2 years ago
Liam had \$250$250dollar sign, 250. Then, he and his classmates bought a present for their teacher, evenly splitting the \$p$pdo
Nostrana [21]

Answer: 250- 9/24

p

​

250, minus, start fraction, p, divided by, 24, end fraction dollars left.

Step-by-step explanation:

Liam had \$250$250dollar sign, 250. Then, he and his classmates bought a present for their teacher, evenly splitting the \$p$pdollar sign, p cost among the 242424 of them.                                                                                                                  

3 0
2 years ago
9400 dollars is placed in an account with an annual interest rate of 6.25%. To the nearest tenth of a year, how long will it tak
liubo4ka [24]

Answer:

t=64.2\ years

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=?\ years\\ P=\$9,400\\ A=\$47,100\\r=6.25\%=6.25/100=0.0625

substitute in the formula above

47,100=9,400(1+0.0625t)

solve for t

t=[(47,100/9,400)-1]\0.0625

t=64.2\ years

6 0
2 years ago
Compare the area of the bases. If a base has a greater area, it will take up more space on the shelf. Base area of Box 1: 3x2 Ba
vodka [1.7K]

Answer:

  Box 2

Step-by-step explanation:

A graph shows that 3x^2 > (4x^2 -x) only between x=0 and x=1. Thus, Box 2 has a larger base area for all other values of x.

Box 2 is likely to take up more space if x is unlikely to be between 0 and 1.

7 0
2 years ago
Read 2 more answers
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