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3 years ago

The following proportion could be used to change from gallons to which measure.

Mathematics

1 answer:

kompoz [17]3 years ago

3 0

Answer:

Choice C. quarts

Step-by-step explanation:

In one gallon there is 8 pints, 16 cups, and 4 quarts. So if the proportion was set up like this $\frac{1gallon}{4quarts}*\frac{3gallons}{xquarts}$ it's likely that they are looking for how many quarts are in 3 gallons, and since we now know that 4 quarts is one gallon we can multiply 3 and 4 to get 12. So in 3 gallons there's 12 quarts.

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The ratio of red marbles to blue marbles in a bag is 3:4 . If there are 42 marbles in the bag. how many marbles are red?

PolarNik [594]

Answer:

18 marbles

Step-by-step explanation:

Step 1

Express the fraction of each type of marble as a function of the total number of marbles as shown;

Let;

total marbles=x

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blue marbles=4/7 x

But x=42 marbles

The total number of marbles for each type can be expressed as;

total number of red marbles=fraction of red marbles×total number of marbles

where;

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replacing;

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where;

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replacing;

total number of blue marbles=(4/7)×42=24 marbles

5 0

2 years ago

Use the prism to answer the question. S in 2 in What is the surface area of the prism? O A 136 in2 B 192 in2 C 240 in2 D272 in2

Vanyuwa [196]

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Aleksandr [31]

Using the square-and-multiply approach, we have

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$7^{12}=(7^6)^2$
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and so, using the property that, if $a_1\equiv b_1\mod n$ and $a_2\equiv b_2\mod n$ , then $a_1a_2\equiv b_1b_2\mod n$ , we get

$7\equiv3\mod4$
$7^2\equiv9\equiv1\mod4$
$7^3\equiv7\times1\equiv7\equiv3\mod4$
$7^6\equiv9\equiv1\mod4$
$7^{12}\equiv1\mod4$
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$7^{203}\equiv7\times9\equiv3\times1\equiv3\mod4$

4 0

3 years ago