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garri49 [273]
3 years ago
6

In making a fruit punch for a party, you mixed 1⁄2 gallon of grape juice with 3⁄4 gallon of orange juice. How many gallons of pu

nch did you make?
Mathematics
2 answers:
vitfil [10]3 years ago
7 0

The answer is 1 1/4

Here's how I got my answer:

Step 1: Find the least common denominator(LCD). Which is 2.

Step 2: Make the denominators the same as the LCD by multiplying 1 and 2, and 2 and 2. Which leaves us with 3/4 + 2/4.

Step 3: Add 3 and 2, and leave the denominator the same, to get your answer, 5/4.

Step 4: Convert 5/4 to a mixed fraction, which is 1 1/4

weqwewe [10]3 years ago
3 0

This is very simple.

2/4 (or 1/2) + 3/4 = 5/4 gallons of punch

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Write two ratios equivalent to 24 : 9.
notsponge [240]

Answer:

8:3

16:6

Step-by-step explanation:

First, let's check if 9 and 24 have any common factor. If they do have any common ones, we must find the GCF (greatest common factor).

Factors of 9: 1, 3, 9

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

The common factors both of the numbers share and 1 and 3. To find the GCF, simply compare one of the factors to the other.

1 < 3

Now that we know the GCF, we can divide the two numbers in the ratio 24 : 9 by it (3).

24:9

24/3:9/3

<u>8:3</u>

Now that our ratio is simplified, it's going to be much easier to find more ratios that are equivalent. <u>8:3</u> is already one equivalent ratio, but if we multiply each number in the ratio by any other number, we can get a new equivalent ratio. Let's multiply each number in the ratio by 2:

<u>8:3</u>

8 ⋅ 2:3 ⋅ 2

<u>16:6</u>

<u></u>

So, another equivalent ratio to 24:9 (and <u>8:3</u>) is <u>16:6</u>.

3 0
3 years ago
Hunter picked three quarts of blueberries. some of the blueberries are ripe and some are not ripe. If he takes one blueberry fro
Alex17521 [72]

Answer:

Berries with any blush of red are not ripe, yet may ripen further once picked if kept at room temperature. That said though, you really want to ...

5 0
2 years ago
Work out the surface area of a cylinder when the height = 18cm and the volume = 1715cm cubed
lara [203]

Answer:

813.4 cm² (nearest tenth)

Step-by-step explanation:

<u>Volume of a cylinder</u>

\sf V=\pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • h = 18cm
  • V = 1715 cm³

Use the Volume of a Cylinder formula and the given values to find the <u>radius of the cylinder</u>:

\implies \sf 1715=\pi r^2 (18)

\implies \sf r^2=\dfrac{1715}{18 \pi}

\implies \sf r=\sqrt{\dfrac{1715}{18 \pi}

<u>Surface Area of a Cylinder</u>

\sf SA=2 \pi r^2 + 2 \pi r h \quad\textsf{(where r is the radius and h is the height)}

Substitute the given value of h and the found value of r into the formula and solve for SA:

\implies \sf SA=2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)^2 + 2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)(18)

\implies \sf SA=2 \pi \left(\dfrac{1715}{18 \pi} \right) + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)

\implies \sf SA=\dfrac{1715}{9} + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)

\implies \sf SA=813.3908956...

Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)

8 0
2 years ago
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.i need help with math
Setler [38]

What’s the question?
6 0
3 years ago
Read 2 more answers
-10x+3y=5 systems of equations with substitution
Genrish500 [490]

Answer:

x=3/10y+-1/2

Step-by-step explanation:

Add -3y to both sides

-10x+3y=5

       -3y  -3y

-10x=3y+5

Divide both sides by -10

-10x=3y+5

_________

-10     -10

x=3/10y+-1/2

8 0
3 years ago
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