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Sholpan [36]
3 years ago
6

Dagne measures and finds that she can do a vertical jump that is 27.5% of her height. If Dagne is 48 inches tall, how high can s

he jump? Enter your answer in the box.
Mathematics
1 answer:
larisa [96]3 years ago
6 0

Answer:

She can jump 13.2 inches.

Step-by-step explanation:

In order to compute how high Dagne can jump we must find how much is 27.5% of 48 inches. We can do that by applying a rule of three, where 48 inches is to 100% as x inches is to 27.5%. In this case x will be the height of her jump. So we have:

48 inches -> 100%

x inches  -> 27.5%

x = (48*27.5)/100 = 13.2 inches

She can jump 13.2 inches.

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Alexandra has a stand in the marketplace where she sells her cumin for 7.20 per kilogram. If she sells 90 kilograms of cumin her
Drupady [299]

Answer:

$234

Step-by-step explanation:

First we need to define profits. Profits are Income minus Expenses:

P = I - E

We know profits are $414, so:

414 = I - E

We also can calculate income, as it is equal to price by the sales:

I = p*Q

Here she sold 90 kgs at $7.20 b kg. So:

I = p*Q = 7.20 * 90 = 648

So, replacing in profits equation:

414 = I - E

414 = 648 - E

If we sum E in both sides:

414 + E = 648 - E + E = 648

414 + E = 648

Now, subtracting 414 in both sides:

414 + E - 414 = 648 - 414

E = 234

So, her expenses are $234

8 0
3 years ago
Find the 8th term of the geometric sequence 5, -15, 45
FrozenT [24]

Answer:

a₈ = - 10935

Step-by-step explanation:

the nth term of a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

here a₁ = 5 and r = \frac{a_{2} }{a_{1} } = \frac{-15}{5} = - 3 , then

a₈ = 5 × (-3)^{7} = 5 × - 2187 = - 10935

6 0
2 years ago
PLEASE HELP ASAP
Vlad [161]

Answer:

  1 : 6 . . . . or 1/6

Step-by-step explanation:

We know 1 foot is 12 inches, so 5 feet is 5·12 = 60 inches. Zachary's scale factor is ...

  drawing size : actual size = 10 inches : 60 inches = 1 : 6

This can also be written as the fraction 1/6.

5 0
3 years ago
a utility worker is 5.5 feet tall and is casting a shadow 4 feet long at the same time a nearby utility pole casts a shadow 20 f
Assoli18 [71]

So this is essentially a proportion problem. They want you to be able to recognize a relationship between the two. The easiest way to go about this is to draw a picture (I have included one). What you want to do is notice that you are given both shadow lengths. This is essentially going to be your first step to creating the proportion.


Understanding that we know the shadow lengths, we can turn these into a fraction such as so:


4ft/20ft.


Now that we know that, we need to look at are unknown. Our unknown is the height of the utility pole. We can solve this by substituting for X since we know the utility worker is 5.5 ft tall.


Your fraction for that would look like:


5.5ft/X


Make sure to always make your top to top match, such as since I put the utility worker's shadow on top, I need to put his height on top.

Now we can solve.

4ft/20ft =5.5ft/X


We need to cross multiply to get an equation we can work with. If we cross multiply, Your equation will look like:


4x = 110ft


This is a simple one step equation. Divide both sides by 4 to get your answer.

x= 27.5ft.

This means your Utility pole's height is 27.5ft.

6 0
3 years ago
Help me please i don't know what this is ​
sesenic [268]

Answer:

15/4

Step-by-step explanation:

5 = 5/1

Then you just multiply across, 5*3=15 and 1*4=4 so you get 15/4.

7 0
3 years ago
Read 2 more answers
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