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3 years ago

Simplify: 5 1/2 - 2 1/4 1 3/4 + 1 1/2

1 answer:

5 0

A) 5 1/2 - 2 1/4
5-2 = 3
1/2 - 1/4 = 1/4
Final Answer: 3 1/4 or in decimal 3.25

B) 13/4 + 11/2
35/4 = 8 3/4
Final Answer: 8 3/4 or in decimal 8.75

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Use the percent bar model to find the missing percent

Ne4ueva [31]

A percentage is a way to describe a part of a whole. The missing percent on the bar model is equal to 12.5%.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

On the percent bar model, above the missing percentage, the fraction is given as 1/8.

Now, the given fraction 1/8 in the form of percentage can be written as,

1/8

= 1/8 × 100%

= 0.125 × 100%

= 12.5%

Hence, the missing percent on the bar model is equal to 12.5%.

Learn more about Percentages here:

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3 0

2 years ago

PLZ HELP ASAP (10 points)

Korolek [52]

Answer:

<DAB= 98

Step-by-step explanation:

Remark

I think you are supposed to assume that this is a parallelogram. In that case the two labeled angles are intended to be equal (one of the properties of a parallelogram).

Equation

2x + 36 = 3x - 5 Add 5 to both sides

2x + 36 + 5 = 3x - 5 + 5 Combine

2x + 41 = 3x Subtract 2x from both sides

2x - 2x + 41 = 3x - 2x Combine

41 = x

Answer

<DAB = 2x + 36

<DAB = 2*41 + 36

<DAB = 82 + 36

<DAB = 98

8 0

3 years ago

Use the Product Property for Exponents to explain why x · x = x2.

Lubov Fominskaja [6]

Whenever there is no exponent on a variable,

you can give it an exponent of 1.

So we can rewrite the x's in this problem as x¹.

When we multiply two terms together

with like bases, we add their exponents.

So now just add their exponents to get x².

3 0

2 years ago

Bentley is going to invest $98,000 and leave it in an account for 7 years. Assuming

den301095 [7]

Answer:

The rate of interest for compounded daily is 2.1 6

Step-by-step explanation:

Given as :

The principal investment = $ 98,000

The Time period for investment = 7 years

Let The rate of interest compounded daily = R %

The Amount at the end up = $ 114,000

<u>From compounded method</u>

Amount = Principal × $(1+\dfrac{rate}{365\times 100})^{365\times Time}$

Or, $ 114,000 = $ 98,000 × $(1+\dfrac{R}{365\times 100})^{365\times 7}$

Or, $\frac{114000}{98000}$ = $(1+\dfrac{R}{36500})^{2555}$

or, 1.16326 = $(1+\dfrac{R}{36500})^{2555}$

or, $(1.16326)^{\frac{1}{2555}}$ = 1 + $\frac{R}{36500}$

1.00005919 - 1 = $\frac{R}{36500}$

or, 0.00005919 = $\frac{R}{36500}$

∴ R = 0.00005919 × 365000 = 2.16

Hence the rate of interest for compounded daily is 2.1 6 Answer

4 0

3 years ago

Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What perce

Alla [95]

Answer:

The percentage is $P(350 < X 650 ) = 86.6\%$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 500$

The standard deviation is $\sigma = 100$

The percent of people who write this exam obtain scores between 350 and 650

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

Generally

$\frac{X - \mu }{\sigma } = Z (The \ standardized \ value \ of \ X )$

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

$P(350 < X 650 ) = P(-1.5$

$P(350 < X 650 ) = P(Z < 1.5) - P(Z < -1.5)$

From the z-table $P(Z < -1.5 ) = 0.066807$

and $P(Z < 1.5 ) = 0.93319$

=> $P(350 < X 650 ) = 0.93319 - 0.066807$

=> $P(350 < X 650 ) = 0.866$

Therefore the percentage is $P(350 < X 650 ) = 86.6\%$

3 0

3 years ago