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oee [108]
3 years ago
8

Last month a museum received €21000 in donations.After taking off the cost of monthly bills,,the museum spent the remaining mone

y on new exhibitions.The ratio of bills to donations was 5:14.How much did they spend on new exhibitions
Mathematics
1 answer:
Rainbow [258]3 years ago
6 0

Answer:

$13,500.

Step-by-step explanation:

Let x represent money spent on monthly bills.

We have been given that last month a museum received €21000 in donations. The ratio of bills to donations was 5:14.

We will use proportions to solve our given problem.

\frac{\text{Bills}}{\text{Donations}}=\frac{5}{14}

\frac{x}{21000}=\frac{5}{14}  

\frac{x}{21000}*21000=\frac{5}{14}*21000

x=5*1500

x=7500

Now, we will subtract $7500 from donations to find the amount spent on new exhibitions as:

\$21,000-\$7500=\$13,500

Therefore, they spent $13,500 on new exhibitions.

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aliya0001 [1]

Answer:

(-∞, -6] U [-2, ∞)

Step-by-step explanation:

To solve this, begin by factoring this quadratic equation into its factored form:

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x = -6, and x = -2 are the zeros of this parabola. Therefore:

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** Remember, when the '≥' sign is present, the

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8 0
3 years ago
PLEASE HELP. I need DE AND EF!!!
AlekseyPX

Answer:

DE = about 41.843 (rounded to nearest thousandth)

EF= 34.276 (rounded)

Step-by-step explanation:

For DE, we know that the shorter side (the opposite side) is 24, while the angle across form it is 35°.  We can use trigonometry to figure this out.  SinФ equals the opposite side (in this case, 24) divided by the hypotenuse.  Set sinФ equal to a ratio of the sides like this:

sin(35) = \frac{24}{x}

x represents the hypotenuse length, which we don't know; 35 is the angle measure.  Next, isolate x so that the equation looks like this:

\frac{24}{sin(35)} = x

You will need a calculator for the next part.  (and make sure you're in degree mode!).  evaluate sin(35) and divide 24 by that value.  That is DE's length.  DE = about 41.843 (rounded to nearest thousandth)

For EF, we can just use Pythagorean theorem now that we know the other sides' values.

EF^2 + 24^2 = DE^2

*a calculator might also be useful for this part.

EF= 34.276 (rounded)

8 0
2 years ago
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igor_vitrenko [27]
The answer to (r -3s2t)4 is 4r- 24st
4 0
3 years ago
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Shalnov [3]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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swat32
Well, since you didn't attach the options. I will try to simplify the problem for you.⬇

Problem➡8/9 ÷2/3

~How to solve it ⬇
8(3) / 9(2) = 24/18

So, that means that your answer might have to be
1 1/3~
4 0
3 years ago
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