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AURORKA [14]
3 years ago
12

Nate operates a hot dog stand. On Wednesday he used 5 bags of hot dog

Mathematics
1 answer:
netineya [11]3 years ago
8 0
When you read this, you immediately get this feeling that the answer is
(1 and 3/4) times (5) .  The only problem is that it's kind of messy to
try and do the multiplication with (1 and 3/4) in that form, so it's a lot
easier if you change it to a different form ... you don't change the value
of the number, you just write it differently.

In place of (1 and 3/4), you could use  1.75 , or you could use  7/4 .
They're both exactly the same amount as (1 and 3/4), but they look
different, and they're easier to work with.

Since the problem wants the answer as a fraction or mixed number,
let's use  7/4  in place of  (1 and 3/4).

OK.  Five bags were used on Thursday, and (7/4) of that many were used
on Friday.

(7/4) x (5 bags) = <u>35/4</u> bags . . . . . That's the improper fraction.

The mixed number is  (<u>8 and 3/4</u>) bags.
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what property could you used to show that the distance between the elephants and giraffes is the same as the distance between th
Nadya [2.5K]

There are several algebraic properties of equality.

<em>The property that shows that both distance are the equal is the symmetric property of equality</em>

Represent the distance between the elephants and the giraffes with x

Represent the distance between the tigers and the zebras with y

The symmetric property of equality states that:

<em>For 2 expressions or numbers; x and y</em>

<em>If x = y, then y = x</em>

<em />

<em />

<em />

In this context, the above property means that:

<em>If the distance between the elephants and the giraffes is the same as the distance between the tigers and the zebras, then both distance are equal</em>

<em />

Hence, the property to use is the symmetric property of equality

Read more about properties of equality at:

brainly.com/question/13130806

3 0
2 years ago
In 2017, the price of gas in a certain state changed from $2.24 to $2.56. Calculate the percent of change increase in the price
Eva8 [605]

Answer:

12.5%

Step-by-step explanation:

2.56-2.24 =0.32

By using the rule of three we can find the answer.

we have that 2.56 = 100% so we have to find what percentage 0.32 represents

(0.32*100)/2.56 = 12.5

8 0
2 years ago
Read 2 more answers
A cone has a height of 20 centimeters and a volume of 4,710 cubic centimeters. What is the area of the base of the cone?
olchik [2.2K]

Answer:

706.5 cm^2

Step-by-step explanation:

First we need to find the r to find the area of the base which is the circle so we use the volume to find r

V = 1/3πr^2h now adjust the equation for r

r = √3V/πh

r = √3(4710)/20π

r= 15

now that we have r, the base of cone is a circle so we use the area formula for circle

area  = πr²

area = 3.14 (15)^2

area of base = 706.5 cm^2

4 0
3 years ago
A national survey of companies included a question that asked whether the company had at least one bilingual telephone operator.
nirvana33 [79]

Answer:

The first option is correct. Option A is correct.

LCL = 0.270, and UCL = 0.397

80% Confidence interval = (0.270, 0.397)

Step-by-step explanation:

The data for Y and N for the 90 companies is attached to this solution provided.

Y represents companies with at least 1 bilingual operator and N represents companies with no bilingual operator.

The number of Y in the data = 30

Hence, sample proportion of companies with at least one bilingual operator = (30/90) = 0.3333

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = 0.3333

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 80% confidence level for sample size of 90 is obtained from the z-tables.

Critical value = 1.280

Standard error of the mean = σₓ = √[p(1-p)/n]

p = sample proportion

n = sample size = 90

σₓ = √[0.3333×0.6667)/90] = 0.0496891568 = 0.04969

80% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.3333 ± (1.28 × 0.04969)

CI = 0.3333 ± 0.0636021207

80% CI = (0.2696978793, 0.3969021207)

80% Confidence interval = (0.270, 0.397)

Hope this Helps!!!

3 0
3 years ago
Find the two numbers whose sum is 29 and whose difference is 15.
yulyashka [42]

Answer:

a = 22

b = 7

Step-by-step explanation:

Let the two numbers be represented as a and b.

a + b = 29

a - b = 15

Using elimination method

Add both equations

2a = 44

Divide both sides by 2 to get a

2a/2 = 44/2

a = 22

Now substitute a = 22 in any of the equations to get b .

Using the first equation, we have

a + b = 29

22 + b = 29

Subtract 22 from both sides of the equation

22 - 22 + b = 29 - 22

b = 7

Therefore the two numbers are 22 and 7

7 0
3 years ago
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