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balandron [24]
3 years ago
9

Rewrite the radical as a rational exponent. the fourth root of 7 to the fifth power 7 to the 5 over 4 power 720 7 7 to the 4 ove

r 5 power
Mathematics
1 answer:
adoni [48]3 years ago
3 0
I don't understand what you mean by "720 7 7 to the 4 over 5 power", but for "<span>the fourth root of 7 to the fifth power 7 to the 5 over 4 power</span>" it would be 7^5 (seven to the power of 5)
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In preperation for an easter egg hunt, 4 blue eggs are filled for every 7 green. How many green eggs will be filled if 100 blue
ivann1987 [24]

Answer:

1. Typed question: 175 green eggs

2. Attached: 22 tables

Step-by-step explanation:

For the question you typed down, it is a ratio and proportion problem. You need to solve for the ratio proportional to the first ratio given.

4 blue eggs are filled for every 7 green. This means that the ratio between blue eggs and green eggs is 4:7.

Now yo need to figure out a ratio proportional to 4:7 if 100 blue eggs were filled. Below is how this is set up:

\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}

Now let's solve for x:

\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}\\\\or\\\\\dfrac{4}{7}=\dfrac{100}{x}\\\\Cross-multiply\\\\4x = (7)(100)\\\\4x = 700\\\\Divide\;both\;sides\;by\;4\\\\\dfrac{4x}{4}=\dfrac{700}{4}\\\\x=175

For your attached problem:

You have a total of 175 people, you need to figure out how many round tables you need if here are 8 chairs for each table You just need to divide the number of people by the number of chairs per table.

175 ÷ 8 = 21.9 tables

Now since you cannot have half a table, you round up to the nearest whole number. (we round up because you need to make sure that all of them are seated)

21.9 ≅ 22 tables.

8 0
3 years ago
A business purchases a computer system for $5,300. The value of the system decreases at a rate of 12% per year. In how many year
N76 [4]

Answer:

7

Step-by-step explanation:

If a system decreases by 12% it's the same as multiplying it by .12-1 or .88

This means we can create the following equation

computer value=5300(.88)^n

where n is the number of years

We can then plug in the value of the computer and solve for n

2200=5300(.88)^n

Divide by 5300 and get

.415=.88^n

Then put this into log form and get

\frac{log(.415)}{log.88}

Evaluate this into your calculator and get n=6.69 which I would probably just round to 7

6 0
3 years ago
Please help work this out
BigorU [14]

Answer:

Area=190.091 cm^2

Step-by-step explanation:

Area = 1/2(Pi x r^2)    one-half because it's a semi-circle

Area=1/2(3.14 x 11^2)

11^2=121 so, Area=1/2(3.14 x 121)

Area=1/2(379.94)

Area=189.97 cm^2

adjustment:

Area=1/2(3.142 x 11^2)

Area=1/2(3.142 x 121)

Area=1/2(380.182)

Area=190.091

5 0
3 years ago
Julie and her brother go to Atlanta to ride the SkyView Ferris wheel. It measures 200 feet in diameter.
worty [1.4K]

Answer:

Part A) Circumference

Part B) C=\pi D

Part C) The distance traveled in one rotation is 628.32 feet

Step-by-step explanation:

Part A) we know that

The distance around the circle is equal to the circumference.

The Ferris Wheel have a circular shape

so

To find out the distance around the Ferris Wheel you should use the circumference

Part B) What is the formula needed to solve this problem?

we know that

The circumference is equal to multiply the number π by the diameter of the circle

so

C=\pi D

Part C) What is the distance traveled in one rotation?

we know that

One rotation subtends a central angle of 360 degrees

The distance traveled in one rotation is the same that the circumference of the Ferris wheel

we have

D=200\ ft ----> diameter of the Ferris wheel

substitute in the formula of circumference

C=\pi (200)\\C=200\pi\ ft

assume

\pi=3.1416

C=200(3.1416)=628.32\ ft

therefore

The distance traveled in one rotation is 628.32 feet

3 0
3 years ago
Help with Pythagorean theorem
OLEGan [10]

Answer:

45

Step-by-step explanation:

(27*27)+(36*36) = 2025

square root 2025 and you get 45

to check 45*45=2025

5 0
3 years ago
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