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snow_lady [41]
3 years ago
14

Sam picked 1/2 gallon of blueberries. he poured the blueberries into one of his plastic containers and noticed that the berries

filled the container 2/3 full. how many gallons of blueberries does it take to fill sam’s container completely full?
Mathematics
1 answer:
earnstyle [38]3 years ago
3 0

Answer:

3/4 gallons of blueberries

Step-by-step explanation:

we know that

1/2 gallon of blueberries filled the container 2/3 full

so

using proportion

Find out how many gallons of blueberries does it take to fill Sam’s container completely full

Remember that

completely full (100% filled) is the same that the fraction 3/3 or 1

so

\frac{(1/2)}{(2/3)}=\frac{x}{1}\\\\x=\frac{1}{2}:\frac{2}{3}\\\\x= \frac{1*3}{2*2}\\\\x=\frac{3}{4}\ gal

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c. 108 degrees

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3 years ago
You have 8 times as many dimes as nickels. You have 18 dimes
fenix001 [56]

Answer:

$1.70

Step-by-step explanation:

Let the number of nickels be  x.

Thus, by the problem statement, the number of dimes is  [/tex] 8 \cdot x = 8x. [/tex]

Therefore, there are 8x + x = 9 coins in total. To find what x is, we need to solve the equation 9x = 18. This can be done by dividing both sides by 9 which gives x=2. Plugging these values in tells us that there are 2  nickels and 16 dimes. (Test it out!) Thus, the nickels are worth 2 \cdot 5 = 10 cents and the dimes are worth 16 \cdot 10 = 160 cents, so in all, you have 10 + 160 = 170 cents which is $1.70.

Hope this helps :)

7 0
2 years ago
Justin is 2 years older than one third Marcella’s age. Aimee is 5 years younger than 2 times Justin’s age. Define a variable and
KIM [24]

Answer:

Step-by-step explanation:

J = (1/3)M + 2 <=== ur expression would be : (1/3)M + 2

A = 2J - 5

if marcella is 63....

J = (1/3 * 63) + 2                              A = 2J - 5

J = 63/3 + 2                                    A = 2(23) - 5

J = 21 + 2                                        A = 46 - 5

J = 23 <== justin's age                   A = 41 <=== Aimee's age

4 0
3 years ago
Consumer products are required by law to contain at least as much as the amount printed on the package. For example, a bag of po
Troyanec [42]

Answer:

The average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag=9.802

Step-by-step explanation:

We are given that

Standard deviation, \sigma=0.2ounces

We have to find the average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag.

P(x\geq 10)=0.99

Assume the bag weight distribution is bell-shaped

Therefore,

P(\frac{x-\mu}{\sigma}\geq 10)=0.99

We know that

z=\frac{x-\mu}{\sigma}

Using the value of z

Now,

\frac{10-\mu}{0.2}=0.99

10-\mu=0.99\times 0.2

\mu=10-0.99\times 0.2

\mu=9.802

Hence, the average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag=9.802

5 0
3 years ago
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