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MAXImum [283]
4 years ago
12

Julian is mixing drops of food coloring to create green frosting for a cake. He uses 18 drops of yellow dye and 12 drops of blue

dye. Find the ratio of drops of blue dye to total drops of dye. Express as a simplified ratio.
Mathematics
1 answer:
devlian [24]4 years ago
7 0

Answer:

The ratio would be 2:5

Explanation:

The ratio of drops of blue dye to total drops of dye is got by dividing drops of blue dye  (12) by total drops, which is the sum of blue and yellow drops (12+18):

\displaystyle\frac{12}{12+18}=\frac{12}{30}

Once we simplify the fraction by dividing both top and bottom by 6, we would get:

\displaystyle\frac{2}{5}

Therefore, the ratio of drops of blue dye to total drops of dye is:  2:5

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Referring to the figure, find the value of x
asambeis [7]
A scale of 1:50 000 means that every centimetre on the map is equal to 50 000 centimetres (500 metres) in reality.

The distance between two towns on that map is 6cm, therefore in reality there’s 6 * 50 000 = 300 000 centimetres, which is equal to 3 000 metres, which is equal to 3 kilometres.
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3 years ago
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
levacccp [35]

From given picture we can see that X is mid point of line PQ

So PQ=2PX

From given picture we can see that Y is mid point of line PR

So PR=2PY


Now consider triangles PRQ and PYX

Sides PQ and PX has same ratio as of sides PR and PY (as calculated above)

angle XPY= angle QPR  (common angle)

Hence triangles PRQ and PYX are similar.

We know that ratio of the sides of similar triangles is always equal so we can write:

\frac{PQ}{PX} = \frac{QR}{XY}

Plug the given values QR=8 and PQ=2PX

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2 = \frac{8}{XY}

XY = \frac{8}{2}

XY = 4

Hence final answer is XY = 4 units.

7 0
4 years ago
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-3y(-4y)=32+(x^0+y^0)^5
docker41 [41]
Any number to the power of 0 equals 1. So, we can rewrite the equation as follows:
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5 0
4 years ago
2 t-shirts and 3 hats costs £12.
Mariana [72]

Answer:

Cost of tshirt = £7.29

Cost of what = £0.86

Step-by-step explanation:

2t +3h = 12; 10t + 15h = 60

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7h = -6; h = -6/7; h = 0.86

2t +3(-6/7) =12

14t -18 = 84

14t = 102; t = 102/ 14; t=7.29

6 0
3 years ago
What type of polygon is shown?
VARVARA [1.3K]
Its a convex hexagon
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3 years ago
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