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natita [175]
3 years ago
10

PLEASE HELP!!!! Emily is making 2 gallons of punch with 4 parts grape juice to 3 parts pineapple juice to 1 part sparkling cider

. How many cups of pineapple juice will Emily need?? Hint (1 gallon = 16 cups)
Mathematics
1 answer:
True [87]3 years ago
7 0

1 gallon = 16 cups. She is making 2 gallons so needs 32 total cups.

The ratio is 4:3:1

Add the ratios: 4+ 3 + 1 = 8

Divide total cups by total ratio:

32/8 =4

Now multiply that by each portion of the ratio:

Grape juice = 4 x 4 = 16 cups

Pineapple juice = 3x4 = 12 cups

Cider = 1x 4 = 4 cups

She needs 12 cups of pineapple juice.

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Solve the equation. 31-12n=211​
Mashutka [201]

Answer:

Step-by-step explanation:

31 - 12n = 21l              Subtract 31 from both sides.

31-31-12n =211-31       Do the subtraction

-12n = 190                  Divide by -12

-12n/-12 = 190/-12

n = -15.333333

6 0
3 years ago
The feet of a commemorative parabolic steel arch 100m high are 200m apart. Determine whether the focus of the arch is above or b
Neko [114]
<span>First of all, there should be coherence for the units of measurement -- either they are all meters or they are all ft. I would assume they are all ft. The correct answer is 75 ft above. T The explanation is the following: suppose the ground level is the x-axis, the 2 feet of the arch lie respectively on (0,0) and (100,0) on the ground level. Since the arch is 100ft high, the vertex of the parabola will be the point (100,100). Thus, we can find the equation describing the parabola by putting the three points we know in a system and we find that the equation of the parabola is y=(-1/100)x^2+2 To find the focus F, we apply the formula for the focus of a vertical axis parabola, i.e. F(-b/2a;(1-b^2+4ac)/4a). By substituting a=-1/100, b=2 and c=0 into the formula, we find that the coordinates of the focus F are (100,75). So we conclude that the focus lies 75ft above ground.</span>
7 0
3 years ago
Read 2 more answers
The diagonal of a square is 8 cm.
VladimirAG [237]

the length of the side of this square is 4\sqrt{2} \:or \:5.65cm

Answer:

Solutions Given:

let diagonal of square be AC: 8 cm

let each side be a.

As diagonal bisect square.

let it forms right angled triangle ABC .

Where diagonal AC is hypotenuse and a is their opposite side and base.

By using Pythagoras law

hypotenuse ²=opposite side²+base side²

8²=a²+a²

64=2a²

a²=\frac{64}{2}

a²=32

doing square root on both side

\sqrt{a²}=\sqrt{32}

a=±\sqrt{2*2*2*2*2}

a=±2*2\sqrt{2}

Since side of square is always positive so

a=4\sqrt{2} or 5.65 cm

6 0
2 years ago
Read 2 more answers
Can someone help me please?
andre [41]
Since there are 5 sunglasses with browline frames and polarized lenses, you would divide 5 by 16, therefore, the answer should be 5/16.

3 0
3 years ago
Daniel buys two apples for every five oranges. If you bought 12 apples, how many oranges dis he buy?
wariber [46]

Answer:

30 oranges

Step-by-step explanation:

2 apples : 5 oranges

12 apples : 30 oranges

because 12 apples is 6 times the original ratio, so we multiply the 5 oranges by 6 too.

8 0
3 years ago
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