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2 years ago

Can someone please help me with these questions!

2 answers:

7 0

1. Buddy is 1 out of 11 students in the classroom who are spreading Christmas Cheer. What percentage of the class is he?

He is 9% of the class that is spreading Christmas cheer.

2. Santa's sleigh has a Clausometer. The highest measure is 100%. If the Clausometer measured at 45. What would this number be represented as a decimal?

If the clausometer measured at 45 then this number as a decimal will be represented as 0.45.

3. The Jack-in-the-box toys had to be tested! The toys worked 0.985 of the time! What percentage of time did they work?

They worked 98.5% of the time

4. The guys handing out advertisement flyers have handed out 4/5 of their total flyers. What percentage of flyers has been handed out?

80% of flyers have been handed out.

5. When the lights go out in the store at night, there is a 15% off sign hanging up by the makeup counter. What is this number as a decimal and a fraction in simplest form?

This number as a decimal and a fraction in simplest form is 3/20 and 0.15.

Iteru [2.4K]2 years ago

7 0

Answer:

1. 9 $\frac{1}{11}$ %

2. 0.45

3. 98.5%

4. 80%

5. Decimal: 0.15, Fraction: $\frac{3}{20}$

Step-by-step explanation:

When calculating percentage, turn the question to a fraction and multiply the fraction by 100%.

When calculating decimal, turn the question to a fraction out of 100, and turn it into a decimal.

When calculating a fraction in its simplest form, turn the question to a fraction and simplify it.

1. (Percentage)

Fraction: $\frac{1}{11}$

Percentage: $\frac{1}{11}$ × 100% = 9 $\frac{1}{11}$ %

2. (Decimal)

Fraction: $\frac{45}{100}$

Decimal: 45 ÷ 100 = 0.45

3. (Percentage)

Fraction: 0.985 = $\frac{985}{1000}$

Percentage: $\frac{985}{1000}$ × 100% = 98.5%

4. (Percentage)

Fraction: $\frac{4}{5}$

Percentage: $\frac{4}{5}$ × 100% = 80%

5. (Decimal)

Fraction: 15% = $\frac{15}{100}$

Decimal: 15 ÷ 100 = 0.15

5. (Fraction)

Fraction: $\frac{15}{100}$

Simplest form: $\frac{15}{100}$ = $\frac{3}{20}$ (Divide both numerators and denominators by 5)

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Evaluate the expression for the given values. (12x+5y)/3z, where x = 12, y = 6, and z = 4. (write answer in decimal form)

Pachacha [2.7K]

Answer:

14.5

Step-by-step explanation:

12×12=144 5×6=30 144+30=174 3×4=12 174/12=<em>14.5</em>

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2 years ago

Find dy/dx by implicit differentiation. y cos x = 5x2 + 3y2

lbvjy [14]

Step 1:
Start by putting $\frac{d}{dx}$ in front of each term

$\frac{d}{dx}[y cos x]= \frac{d}{dx}[5x^2]+ \frac{d}{dx}[ 3y^2]$
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Step 2:

Deal with the terms in 'x' and the constant terms
$\frac{d}{dx}[ycosx]= 10x+ \frac{d}{dx} [3y^2]$
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Step 3:

Use the chain rule for the terms in 'y'
$\frac{d}{dx}[ycosx]=10x+6y \frac{dy}{dx}$
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Step 4:

Use the product rule on the term in 'x' and 'y'
$(y) \frac{d}{dx} cos x+(cos x) \frac{d}{dx}y =10x+6y \frac{dy}{dx}
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$y(-siny)+(cosx) \frac{dy}{dx} =10x+6y \frac{dy}{dx}$
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Step 5:

Rearrange to make $\frac{dy}{dx}$ the subject
$-y sin(y)+cos(x) \frac{dy}{dx} =10x+6y \frac{dy}{dx}$
$cos(x) \frac{dy}{dx}-6y \frac{dy}{dx}=10x+y sin(y)$
$[cos(x) - 6y] \frac{dy}{dx}=10x + y sin(y)$
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3 years ago

Which expression has exactly three terms? Select all the expressions that apply.

irga5000 [103]

The answer is expressions D, E, and G.

In algebra, a ‘term’ usually means the different parts of an expression that are separated by + and - signs.

Options A and B only have 1 term, an x or y³, so these are incorrect.

Option C has 1 term as well, ‘xyz’, because they are all multiplied together which makes it one term.

D and E both have 3 terms each, but F has 4 unique terms so this is incorrect also.

G has 3 unique terms, x³, x^4, and 7x, so this is correct.

When H is expanded, you will end up with more than 3 unique terms, so this is incorrect.

I hope this helps!

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