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Natali [406]
3 years ago
5

HELP PLEASE!! Sally has a mass of 70 kilograms and Dave weighs 170 pounds. What is Sally's weight as a percentage of Dave's weig

ht? (Round to the nearest whole percentage point and do not include units in your answer.) Note: There are 2.205 pounds per kilogram.
Mathematics
2 answers:
Andru [333]3 years ago
4 0

Answer:

91%.

Step-by-step explanation:

We have been given that Sally has a mass of 70 kilograms and Dave weighs 170 pounds.

First of all, we will convert Sally's weight into pounds by multiplying 70 by 2.205 as:

\text{Sally's weight into lb}=70\times 2.205

\text{Sally's weight into lb}=154.35

Now, we will find 154.35 is what percent of 170 as:

\frac{154.35}{170}\times 100

0.90794\times 100=90.794\%\approx 91\%

Therefore, Sally's weight is approximately 91% of Dave's weight.

k0ka [10]3 years ago
3 0

Step-by-step explanation:

Sally mass = 70 kilograms

Dave mass = 170 pounds ≈ 77 kilograms

Sally's mass as a percentage of Dave's mass = (70/77)x100

Sally's mass as a percentage of Dave's mass ≈  91 %

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Answer:

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Step-by-step explanation:

1st of all we should let the ration of boys to girls be 2x and 3x.

After that we should make the sum between 2x and3×and the sum of 2numbers is equal to 30

i.e.2x+3x=30

Then ,by solving this eqation we get the value of x=6

After that put the value of x in the number of boys

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2x=2×6=12

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3 years ago
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Mai invests $20,000 at age 20. She hopes the investment will be worth $500,000 when she turns 40. If the interest compounds cont
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Answer:

\approx 17.5% per annum

Step-by-step explanation:

<u>Given:</u>

Money invested = $20,000 at the age of 20 years.

Money expected to be $500,000 at the age of 40.

Time = 40 - 20 = 20 years

<em>Interest is compounded annually.</em>

<u>To find:</u>

Rate of growth = ?

<u>Solution:</u>

First of all, let us have a look at the formula for compound interest.

A = P \times (1+\frac{R}{100})^T

Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.

Here, We are given:

P = $20,000

A = $500,000

T = 20 years

R = ?

Putting all the values in the formula:

500000 = 20000 \times (1+\frac{R}{100})^{20}\\\Rightarrow \dfrac{500000}{20000} =(1+\frac{R}{100})^{20}\\\Rightarrow 25 =(1+\frac{R}{100})^{20}\\\Rightarrow \sqrt[20]{25} =1+\frac{R}{100}\\\Rightarrow 1.175 = 1+0.01R\\\Rightarrow R \approx17.5\%

So, the correct answer is \approx <em>17.5% </em>per annum and compounding annually.

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3 years ago
EASY BRAINLIEST PLEASE HELP!!
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ANSWER:

We know that angle fromed by same arc are congruent. so

∠ACB ~ ∠ADB

∠CAD ~ ∠CBD

Therefore, ΔCAF ~ ΔDBF by AA similarity. So, By CPCT

arcAC = arcBD.

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Ebony is cutting dough for pastries in her bakery. She needs all the pieces to be congruent triangles and has ensured that segme
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Answer:

Ebony need to compare ∠EFG and ∠ONM

Step-by-step explanation:

we know that

If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent by ASA

In this problem

EF ≅ ON ----> the included side

To prove congruence by ASA, of triangles EFG and ONM, the corresponding angles of the included side must be congruent

The corresponding angles of the included side are

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and

∠EFG and ∠CNM

so

∠MON ≅ ∠GEF  ----> given problem

and

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3 years ago
PLEASE HELP ME ASAP
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The series is a convergence series and the sum of the series is -8/3

<h3>The type of the series</h3>

The series is given as:

\sum\limits^{\infty}_{n = 1} -4(-\frac 12)^{n-1}

The above series has the following properties:

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Start by calculating the absolute value of the common ratio

Absolute value = |-1/2|

This gives

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The above value is less than 1.

It means that the series converges.

<h3>The sum of the series</h3>

This is calculated using:

S_{\infty} = \frac{a}{1 -r}

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S_{\infty} = \frac{-8}{3}

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