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Ugo [173]
3 years ago
15

1. Trevor saves 2/3 of the money he earns at his

Mathematics
1 answer:
AveGali [126]3 years ago
4 0

Trevor will be saving less amount

<u>Step-by-step explanation:</u>

To know whether he will save less, more or the same amount, we need to find \frac{1}{4} \times \frac{2}{3} and then compare with \frac{2}{3}

Now, combine the fractions using the rule:

              \frac{a}{b} \times \frac{c}{d}=\frac{a \times c}{b \times d}

              \frac{1}{4} \times \frac{2}{3}=\frac{1 \times 2}{4 \times 3}=\frac{2}{12}=\frac{1}{6}

\frac{1}{4} \times \frac{2}{3} is less than the fraction \frac{1}{4}. Hence, concluding that Trevor will be saving less than \frac{2}{3} amount.

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Mandy is building a rectangular garden pond with the area of 12ft^2. The length of pool needs to be 2 ft more than twice the wid
Genrish500 [490]

The length of rectangular pool is 6 ft and width of rectangular pool is 2 ft.

Step-by-step explanation:

Given,

Area of rectangular pool = 12 square feet

Let,

Width of pool = w

Length of pool = l = 2w+2

Area = Length * Width

12=(2w+2)*w\\12=2w^2+2w\\2w^2+2w-12=0

Dividing each term by 2;

\frac{2w^2}{2}+\frac{2w}{2}-\frac{12}{2}=0\\w^2+w-6=0\\w^2+3w-2w-6=0\\w(w+3)-2(w+3)=0\\(w+3)(w-2)=0\\

Either,

w+3 = 0       => w=-3

Or,

w-2=0          =>w=2

As width cannot be negative, therefore,

Width of rectangular pool = 2 ft

Length of rectangular pool = 2w+2 = 2(2)+2 = 4+2 = 6 ft

The length of rectangular pool is 6 ft and width of rectangular pool is 2 ft.

Keywords: rectangle, area

Learn more about areas at:

  • brainly.com/question/10703930
  • brainly.com/question/10772025

#LearnwithBrainly

7 0
3 years ago
It cost Naomi $7.70 to send 154 text messages. How many text messages did she send
s2008m [1.1K]

You have to find the unit rate

SO..

7.70 / 154 = 0.05

So it cost her 0.05 cents for each text.

So then you divide $ 5.25 by the unit rate to get the number of text

5.25 /0.05 = 105

so she sent 105 text

To check it you just multiply the unit rate by the number of text you got and you show come up with $ 5.25

0.05 x 105 = 5.25

4 0
3 years ago
What is the correct method of recording numerical information from an experiment?
olga55 [171]

Answer:

The correct method for recording numerical information from an experiment is the quantitative method.

Step-by-step explanation:

This method represents the way of recording that tracks variables (sometimes more than one) and how they interact with each other. This will help to establish relationship within your experiment.

8 0
3 years ago
Read 2 more answers
In the year 2003, a company made $6.8 million in profit. For each consecutive year after that, their profit increased by 13%. Ho
LenKa [72]

Answer:

$7.7 million

Step-by-step explanation:

Given: $6.8 million profit made by company.

           13% increase in profit every year.

Now, finding the company´s profit in the year of 2006.

As we know there is 13% increase in profit.

∴ Profit increase= \frac{13}{100} \times 6.8= \$ 0.884

Next adding company´s profit with increase in profit to get profit in the year 2006.

∴ 6.8+0.884= \$ 7.684 ≅ $7.7

The company´s profit in the year 2006 is $7.7 million.

6 0
3 years ago
The amount of toothpaste in a tube is normally distributed with a mean of 6.5 ounces and a standard
Anarel [89]

Answer:

a) 266 tubes ,  TC_r = $53.2

b) 266 tubes ,  T.Loss = $13.30

Step-by-step explanation:

Given:

- The sample size of tubes n = 1,000 tubes

- The mean of the sample u = 6.5 oz

- The standard deviation of the sample s.d = 0.8 oz

- Cost of manufacturing a tube C_t = 50 cents

- Cost of refilling a tube C_r = 20 cents

- Profit loss per tube Loss = 5 cents

Find:

a). How many tubes will be found to contain less than 6 ounces? In that case, what will be the total cost of the  refill?

b) How many tubes will be found to contain more than 7 ounces? In that case, what will be the amount of  profit lost?

Solution:

- First we will compute the probability of tube containing less than 6 oz.

- Declaring X : The amount of toothpaste.

Where,                         X ~ N ( 6.5 , 0.8 )

- We need to compute P ( X < 6 oz )?

Compute the Z-score value:

                  P ( X < 6 oz ) =  P ( Z < (6 - 6.5) / 0.8 ) = P ( Z < -0.625 )

Use the Z table to find the probability:

                               P ( X < 6 oz ) = P ( Z < -0.625 ) = 0.266

- The probability that it lies below 6 ounces. The total sample size is n = 1000.

       The number of tubes with X < 6 ounces = 1000* P ( X < 6 oz )

                                                                           = 1000*0.266 = 266 tubes.

- The total cost of refill:

                            TC_r = C_f*(number of tubes with X < 6)

                            TC_r = 20*266 = 5320 cents = $53.2

- We need to compute P ( X > 7 oz )?

Compute the Z-score value:

                  P ( X > 7 oz ) =  P ( Z > (7 - 6.5) / 0.8 ) = P ( Z < 0.625 )

Use the Z table to find the probability:

                               P ( X > 7 oz ) = P ( Z > 0.625 ) = 0.266

- The probability that it lies above 7 ounces. The total sample size is n = 1000.

       The number of tubes with X > 7 ounces = 1000* P ( X > 7 oz )

                                                                           = 1000*0.266 = 266 tubes.

- The total cost of refill:

                            T.Loss = Loss*(number of tubes with X > 7)

                            T.Loss = 5*266 = 1330 cents = $13.30

5 0
3 years ago
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