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anzhelika [568]
3 years ago
6

Simplify (please help)

Mathematics
1 answer:
valkas [14]3 years ago
4 0

Answer:

\frac{8x^{3}y^{6}  }{z^{3} }

Step-by-step explanation:

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Amanda used 45 ounces of sugar to make 75 cupcakes. How many ounces of sugar will be used to make 255 cupcakes?
horrorfan [7]

Solution:

Ounces of Sugar used by Amanda to make 75 cupcakes = 45 Ounces

As, number of ounces of sugar is in Direct variation with number of cupcakes.

The meaning of direct variation is , the ratio of two variables in each case is same.

Here , Ratio of ounces of sugar, to number of cupcakes in each case will be same.

Let number of ounces of sugar  which will be used to make 255 cupcakes be x ounces.

\frac{45}{75}=\frac{x}{255}\\\\ \frac{3}{5}=\frac{x}{255}\\\\ x=\frac{255 \times 3}{5}\\\\ x=\frac{765}{5}\\\\ x=153

So, Number of  ounces of sugar  which will be used to make 255 cupcakes = 153 ounces.

5 0
4 years ago
Read 2 more answers
Jane has 12 deck chairs and she has painted 1/4 of them yellow. How many are unpainted?
Taya2010 [7]

answer is 9

Step-by-step explanation:

12/4=3

1/4=3

3/4=9

8 0
3 years ago
Read 2 more answers
If 75% of a number is 60, what is 20% of the number
Colt1911 [192]
I hope this is right i think the answer is 40

6 0
4 years ago
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Selecting a year in the last decade and a month of the year
siniylev [52]

Answer:

August 2015

Step-by-step explanation:

The last decade was the 2010s

August is one of the 12 months

If this isn't what you are looking for, please add details.

5 0
3 years ago
Read 2 more answers
Question
AlekseyPX

Answer:

The population mean is 5 volts

Step-by-step explanation:

Output voltage is assumed to be normally distributed, with standard deviation 0.25 Volts

s=0.25

n = 8

H_0:\mu = 5\\H_a:\mu \neq 5

Sample mean = \bar{x}=4.85

Since n < 30 and population standard deviation is unknown

So, we will use t test

Formula : t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}

t = \frac{4.85-5}{\frac{0.25}{\sqrt{8}}}

t=-1.69

Refer the t table for p value

Degree of freedom = n-1 = 8-1 = 7

So,t_{(df,\alpha)}=t_{7,0.05}=2.365

P value >α

So, We are failed to reject null hypothesis

Hence The population mean is 5 volts

7 0
4 years ago
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