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3 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]3 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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Philip made a total of 9 bracelets and necklaces from 120 inches of cord. He used 8 inches of cord for each bracelet and 20 inch

Viktor [21]

Answer:

So Philip made 5 bracelets and 4 necklaces.

Step-by-step explanation:

Let x = number of bracelets and y = number of necklaces.

Since we have a total of 9 bracelets and necklaces,

x + y = 9 (1)

Also, we have 8 inches of cord for each bracelet and 20 inches of cord for each necklace, then the total length for the bracelet is 8x and that for the necklace is 20y.

So, the total length for both is 8x + 20y. Since the total length of cord used is 120 inches,

8x + 20y = 120 (2)

Simplifying it we have

2x + 5y = 30 (3).

Writing equations (1) and (3) in matrix form, we have

$\left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}9\\30\end{array}\right]$

Using Cramer's rule to solve for x and y,

$x = det \left[\begin{array}{ccc}9&1\\30&5\end{array}\right] /det \left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \\$

x = (9 × 5 - 30 × 1) ÷ (1 × 5 - 1 × 2)

x = (45 - 30) ÷ (5 - 2)

x = 15 ÷ 3

x = 5

$y = det \left[\begin{array}{ccc}1&9\\2&30\end{array}\right] /det \left[\begin{array}{ccc}1&1\\2&5\end{array}\right] \\$

y = (30 × 1 - 9 × 2) ÷ (1 × 5 - 1 × 2)

y = (30 - 18) ÷ (5 - 2)

y = 12 ÷ 3

y = 4

So Philip made 5 bracelets and 4 necklaces.

3 0

3 years ago

Choose the value for reflection to place triangle ABC on top of triangle DEF. How did the orange triangle move? The triangle fli

SCORPION-xisa [38]

Answer:

x = 3

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Algebraic Reasoning please help!

stiv31 [10]

Answer:

$\left[\begin{array}{ccc}7\\4\\2\end{array}\right]$

The answer is a single-column matrix (7,4,2)

Step-by-step explanation:

In such multiplication of matrices, you have to proceed by multiplying each ROW of the first matrix by the COLUMN of the second matrix. So,

$\left[\begin{array}{ccc}3&6&1\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (3 * 2) + (6 * 0) + (1 * 1) = 6 + 0 + 1 = 7$

then...

$\left[\begin{array}{ccc}2&4&0\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (2 * 2) + (4 * 0) + (0 * 1) = 4 + 0 + 0 = 4$

and

$\left[\begin{array}{ccc}0&6&2\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (0 * 2) + (6 * 0) + (2 * 1) = 0 + 0 + 2= 2$

I hope it helps.

5 0

3 years ago

A medication states that the odds of having an allergic reaction are 1 in 50. What is that probability states as a percent?

Fittoniya [83]

<h2>Answer:</h2>

<u><em>As a percent, the odds of having an allergic reaction would be 2%.</em></u>

This is because 1 in 50 of a chance, is equal to 1/50, and to make this a percent out of 100, just multiply both parts of the fraction by 2.

None of the choices equal 1/50, so let's just make it a percentage anyway.

1/50 ---> 0.02

0.02 ---> 2%

<em>The answer is 2%, or 1/50 as a fraction.</em>

3 0

3 years ago

I need help with number 8 please. if you don't mind can you show your work so I know how to do it? Thanks in advance! :)

Trava [24]

You have to divide both sides by 5 because it states"5t" and you should get "t=20"

7 0

3 years ago