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g100num [7]
3 years ago
14

Alice purchased 4 1⁄2 kilograms of olive oil for $27. What is the price per kilogram?

Mathematics
1 answer:
vitfil [10]3 years ago
8 0

Hi!

We will solve this using ratios, like this:

4 1/2 = 4,5 kg of olive oil for 27 $

1 kg of olive oil for x $

_____________________________

x = (27*1)/4,5

x = 27/4,5

x = 6 $ per kilogram

Hope this helps!

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Rachel earned $85.25 for working 6 1 4 hours. How much does Rachel earn per hour?
GaryK [48]

Answer:

Rachel earns per hour is $ 13.64 .

Step-by-step explanation:

As given

Rachel earned $85.25 for working 6 \frac{1}{4} hours.

i.e

Rachel earned $85.25 for working \frac{25}{4} hours.

Now calculate earning of Rachel for 1 hour .

Rachel\ earning\ for\ one\ hour = \frac{Total\ earning}{Total\ time}

Rachel\ earning\ for\ one\ hour = \frac{85.25}{\frac{25}{4}}

Rachel\ earning\ for\ one\ hour = \frac{85.25\times 4}{25}

Rachel\ earning\ for\ one\ hour = \frac{341}{25}

Rachel\ earning\ for\ one\ hour = \$ 13.64

Therefore Rachel earns per hour is $ 13.64 .

7 0
3 years ago
Read 2 more answers
A random sample of 38 wheel chair users were asked whether they preferred cushion type A or B, and 28 of them preferred type A w
-BARSIC- [3]

Answer:

The statement that cushion A is twice as popular as cushion B cannot be verified

Step-by-step explanation:

From the question we are told that:

Sample size n=38

Type a size A X_a=28

Type a size B X_b=10  

Generally the probability of choosing cushion A P(a) is mathematically given by

P(a)=\frac{28}{38}

P(a)=0.73

Generally the equation for A to be twice as popular as B is mathematically given by

P(b)+2P(b)=3P

Therefore Hypothesis

Null H_0: p \leq \frac{2P}{3P} \\Altenative H_A:p>\frac{2P}{3P}

Generally the equation normal approx of p value is mathematically given by

z=\frac{x-np_0-0.5}{\sqrt{np_0(1-p_0)} }

z=\frac{28-(38*2/3)_0-0.5}{\sqrt{38*2/3*1/3} }

z=0.75

Therefore from distribution table

Pvalue=1-\theta (0.75)

Pvalue=0.227

Therefore there is no sufficient evidence to disagree with  the Null hypothesis H_0

Therefore the statement that cushion A is twice as popular as cushion B cannot be verified

7 0
3 years ago
Find the number by which 4732 should be divided to get perfect square.
ElenaW [278]

Answer:

The required number is 7.

Dividing by this gives the perfect square 676.

Step-by-step explanation:

Finding the prime factors:

2) 4732

2) 2366

7) 1183

13)169    

     13

So 4372

= 2^2 * 7 * 13^2

= 4 *169 * 7

= 676 * 7

Now 676 is a perfect square so the answer is 7.

= 1283 * 4.

Answer is 1283.

8 0
3 years ago
It takes Mara 15 minutes to walk to her friends house 1 2/3 miles away. What is her walking pace in miles per hour?
algol13
The answer is 6 2/3 per hour
6 0
3 years ago
The measure of the two sides of a triangle. ​
Phoenix [80]

Answer:

A.

Step-by-step explanation:

The answer is A because well 3x would not change and 17x would not change but 7 and 5 would change because they are not variable numbers So when u do the mah you would get 3x2+17x -2

5 0
2 years ago
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