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kap26 [50]
3 years ago
15

Frank needs to fill juice cups for his little sister's birthday party. There are 35 juice cups and each juice cup holds 12 fluid

ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Frank need to purchase?
Mathematics
2 answers:
Wittaler [7]3 years ago
6 0
1 gallon=128 fluid ounces
35 cups x 12 fluid ounces =420 fluid ounces
420 fluid ounces=3.28125 gallons

Cerrena [4.2K]3 years ago
3 0
35 juices cups meaning there would be 420 fluid ounces. And 1 gallon =. 128 ounces. So frank would need to purchase approximately 3.28 bottles
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Givers the linear sequence,<br> -2,7,X,Y, 2... Find the value of<br> Z.
Harrizon [31]

Answer:

Z = 34

Step-by-step explanation:

From the series, we have that:

a = -2

a + d = 7

Hence, -2 + d = 7

∴ d = 7 + 2 = 9

a + 2d = X; a + 3d = Y and a + 4d = Z

-2 + 4(9) = Z

∴ Z = 36 - 2 = 34

7 0
3 years ago
How many pounds of a 15% copper alloy must be mixed with 700lb of a 30% copper alloy to maybe a 25.5% copper alloy
lisov135 [29]

Answer:

300\; \rm lb.

Step-by-step explanation:

Let x represent the mass (in pounds) of that 15\% copper alloy required, such that the final mixture would contain 25.5\% copper by mass.

Consider: if x pounds of that 15\% copper alloy is mixed with 700 pounds that 30\% copper alloy, what would be the mass of copper in the mixture?

  • Mass of copper in x pounds of that 15\% copper alloy: (0.15\, x)\; \rm lb.
  • Mass of copper in 700 pounds of that 30\% copper alloy: 700 \times 0.30 = 210\; \rm lb.

Therefore, the mixture would contain (210 + 0.15\, x) \; \rm lb of copper.

The mass of that mixture would be (700 + x)\; \rm lb. The mass fraction of copper in that mixture would be:

\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\%.

This ratio is supposed to be equal to 25.5\%. These two pieces of equations combine to give an equation about x:

\displaystyle \frac{(210 + 0.15\, x)\; \rm lb}{(700 + x)\; \rm lb} \times 100\% = 25.5\%.

\displaystyle \frac{210 + 0.15\, x}{700 + x} = 0.255.

Simplify and solve for x:

210 + 0.15\, x= 0.255\, (700 + x).

(0.255 - 0.15)\, x= 210 - 0.255 \times 700.

\displaystyle x = \frac{210 - 0.255 \times 700}{0.255 - 0.15} = 300.

Therefore, 300\; \rm lb of that 15\% alloy would be required.

4 0
3 years ago
What is the box-and-whiskers plot used to show?
12345 [234]
The whole idea of that kind of graph is that they allow you to view the complete distribution of data while also being able to see first and third quartiles, the median, and the minimums and maximums. 
5 0
3 years ago
Help with #9 linked above! Please help!
jasenka [17]

y = A(Bx - C)ⁿ + D

A is a vertical stretch (or shrink if |A| < 1)

B is a vertical shrink (or stretch if |B| < 1)

C is a shift to the right (or left if C is negative) → notice that Bx - C is "-C" so to take the opposite

D is a shift up (or down if D is negative)

when C = -3, it is a shift to the left 3 units

when D = -7, it is a shift down 7 units

Answer: B

6 0
3 years ago
Ng Order of Operations George has $15. He would like to know if he has enough money to see a movie ($9.00) and buy a pretzel ($2
UNO [17]

Answer:

No, George does not have enough money to buy everything.

The correct expression is:

15 - 9 - 2.65 - 1.35 - 2(1.74)

Step-by-step explanation:

Given that:

Money present with George initially = $15

Money required to see the movie = $9

Money required to buy a pretzel = $2.65

Money required to buy a drink = $1.35

Money required to buy 2 veggie cups = $2(1.74)

To find:

Whether there is enough money with George to complete all the tasks.

Solution:

First of all, let us calculate all the money required and then we can subtract all the money from the initial amount to find whether there is enough money present with George.

If the result is in positive, there is enough money with George.

Total money required for all the activities = $9 + $2.65 + $1.35 + $2(1.74) = $16.48

Expression = $15 - $16.48 = -$1.48

The result is negative, therefore there is not enough money.

The correct expression is:

15 - 9 - 2.65 - 1.35 - 2(1.74)

5 0
3 years ago
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