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3 years ago

Write as an improper fraction 8 1/2 (Simplify your answer.)

Mathematics

1 answer:

liq [111]3 years ago

3 0

Answer:

$\frac{17}{2}$

Step-by-step explanation:

To convert a mixed fraction to a improper fraction, you have to multiply the denominator (2) by the whole number (8). 8 multiplied by 2 is 16. Then add the numerator (1). 16+1=17. That becomes your numerator, the denominator (2) stays the same.

I hope this helps!

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Nancy borrowed $150 from her parents to buy a video game system. She has agreed to pay them back $25 each week Which equation re

Zinaida [17]

Answer:

P = 150 - 25w

Step-by-step explanation:

Amount borrowed = $150

Repayment amount = $25 each week

P = amount Nancy owes

w = number of weeks

Amount Nancy owes = amount borrowed - repayment plan per week

P = 150 - 25w

During the first week of repayment: when w = 1

P = 150 - 25w

P = 150 - 25(1)

= 150 - 25

= 125

P = $125

7 0

3 years ago

Claim: Most adults would not erase all of their personal information online if they could. A software firm survey of 669 randoml

Lady_Fox [76]

Answer:

a) p=0.39, where p the parameter of interest represent the true proportion of adults that would erase all their personal information online if they could

b) Null hypothesis: $p = 0.39$

Alternative hypothesis: $p \neq 0.39$

Step-by-step explanation:

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

On this case the claim that they want to test is: "The true proportion of adults that would erase all their personal information online if they could is 0.39 or 39%". So we want to check if the population proportion is different from 0.39 or 0.39%, so this needs to be on the alternative hypothesis and on the null hypothesis we need to have the complement of the alternative hypothesis.

Part a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.

p=0.39, where p the parameter of interest represent the true proportion of adults that would erase all their personal information online if they could

Part b. Identify the null and alternative hypotheses.

Null hypothesis: $p = 0.39$

And for the alternative hypothesis we have

Alternative hypothesis: $p \neq 0.39$

6 0

3 years ago

Maria and Franco are mixing sports drinks for a track meet. Maria uses 23 cup of powdered mix for every 2 gallons of water. Fran

Anastaziya [24]

Answer:

Maria

Step-by-step explanation:

Find the ratio of powdered mix to water for each drink.

For Maria:

(2/3 cup) / (2 gallon)

= 1/3 cup per gallon

For Franco:

(1 1/4 cup) / (5 gallon)

= (5/4 cup) / (5 gallon)

= 1/4 cup per gallon

Since 1/3 is bigger than 1/4, Maria's sports drink is stronger.

4 0

2 years ago

What procedure will find the sum a+b of two numbers where a and b represent any integer?

ElenaW [278]

Answer:As rational number includes natural number, whole number ,integers also.

⇒Natural number(1,2,3,4....) is a rational number also.

So, when A= Natural number , B=Any other natural number

Just add two natural number using simple law of addition.

⇒As Whole numbers(0,1,2,3,...) are Rational number also.

So If A=any whole number, B=Any other whole number

Add the whole number in any order using law of addition.

⇒Coming to integers (....-123,....-5,...-1,....12,....59,.....) By taking any two integers ,

1. Both of them are positive add using simple law of addition.

2. One of them is positive and other is negative , if larger one has positive sign before it just subtract smaller one from larger one and put positive sign before the result.and if larger one has negative sign before it ,subtract smaller one from larger one and put negative sign before the result.

⇒If both of them are negative , just add the two integers and apply negative sign before the result.

4. Rational number as fractions ,

A=m/n and B=p/q

A+B=m/n + p/q

find LCM of n and q.

If n and q are co-prime multiply n and q to get the LCM.For example if n=5, q=7, then LCM=5×7=35

If n and q are not co-prime find the factors of n and q .take out the common factors and then multiply the common factors with those factors which are not common.

For example, n=15, q=20

15=5×3

20=2×2×5

common factor=5

non common factor=2,2,3

LCM=5×2×2×3=60

Suppose LCM(n,q)= K

⇒p/q+m/n

So ,

which is the way to find LCM of rational number when theyare fractions.

Step-by-step explanation:

4 0

2 years ago

A model of a tractor trailer is shap d like a rectangular prism and has a width of 2 in. , a length of 11 in. , and a height of

Anna71 [15]

Answer:

Actual volume=3,773,000 in³

Step-by-step explanation:

Scale 1:35

Actual Width=Model Width×Scale factor=(2×35)=70 inches

Actual Length=Model Length×Scale factor=(11×35)=385 inches

Actual Height=Model Height×Scale factor=(4×35)=140 inches

Actual volume =(Base Area×Height)=Length×width×height=(385×70×140)=3,773,000 in³

Actual volume=3,773,000 in³

8 0

3 years ago