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Stells [14]
3 years ago
9

10 of the students in Miss Ransom‘s class play an instrument. These 10 students make up 40% of the class how ,many students are

in the class?
Mathematics
1 answer:
Mashutka [201]3 years ago
3 0

Answer:

250 students

Step-by-step explanation:

Given data

Let the total number of students be x

Number of students that plays instrument = 10

Hence

40% of x = 10

40/100*x= 100

0.4x=100

x=100/0.4

x= 250

Hence there are 250 students in total

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Please please help!!!
Rashid [163]

Answer:

  1/2

Step-by-step explanation:

cos(θ) = √(1 -sin(θ)²) = √(1 -3/4) = √(1/4)

cos(θ) = 1/2

3 0
3 years ago
Can someone help me with these and show the work also?
Snezhnost [94]

QUESTION:

Simplify each expression

ANSWER:

1.) \green{{- 8n}}

2.) \green{{- 2b - 60}}

3.) \green{{- 10x - 14}}

4.) for number 4 study my step-by-step explanation so you can answer that

STEP-BY-STEP EXPLANATION:

1.) First, If the term doesn't have a coefficients, it is considered that the coefficients is 1

WHY?

Learn why:

Why is it considered that the coefficient is 1?

Remember that any term multiplied by \blue{{1}} remains the same :

\blue{{1}} {× x = x}

Step 1:

The equality can be read in the other way as a well, so any term can be written as a product of \blue{{1}} and itself:

{x = } \blue{{1}} {× x}

Step 2:

Usually, we don't need to write multiplacation sign between the coefficient and variable, so the simple form is:

{x = 1x}

This is why we can write the term without the coefficient as a term with coefficient {1}

Now let's go back to solving as what i said if a term doesn't have a coefficient, it is considered that the coefficient is 1

{n - 9n}

\red{{1}} {n -9n}

Second, Collect like terms by subtracting their coefficients

\red{{1n - 9n}}

\red{{( 1 - 9)n}}

Third, Calculate the difference

how?

Keep the sign of the number with the larger absolute value and subtract the smaller absolute value from larger

\red{{1 - 9}}

\red{{- (9 - 1)}}

Subtract the numbers

- (\red{{9 - 1}})n

- \red{{8}}n

\green{\boxed{- 8n}}

2.) First, Distribute - 6 through the parentheses

how?

Multiply each term in the parentheses by - 6

\red{{- 6(b + 10)}}

\red{{- 6b - 6 × 10}}

Multiply the numbers

- {6b} - \red{{6 × 10}}

- {6b} - \red{{60}}

Second, Collect like term

how?

Collect like terms by calculating the sum or difference of their coefficient

\red{{- 6b + 4b}}

\red{{(- 6 + 4)b}}

Calculate the sum

\red{{(- 6 + 4)}}b

\red{{-2}}b

\green{\boxed{- 2b - 60}}

3.) First, Distribute 2 through parentheses

how?

Multiply each term in the parentheses by 2

\red{{2(x - 5)}}

\red{{2x - 2 × 5}}

Multiply the numbers

{2x -} \red{{2 × 5}}

{2x -} \red{{10}}

Second, Distribute - 4 through the parentheses

how?

Multiply each term in the parentheses by - 4

\red{{- 4(3x + 1)}}

\red{{- 4 × 3x - 4}}

Calculate the product

- \red{{4 × 3}}x - 4

- \red{{12}}x - 4

Third, Collect like terms

how?

Collect like terms by subtracting their coefficient

\red{{2x - 12x}}

\red{{(2 - 12)x}}

Calculate the difference

\red{{(2 - 12)}}x

\red{{- 10}}x

Fourth, Calculate the difference

how?

Factor out the negative sign from the expression

\red{{- 10 - 4}}

\red{{- (10 + 4)}}

Add the numbers

- (\red{{10 + 4}})

- \red{{14}}

\green{\boxed{- 10x - 14}}

That's all I know sorry but I hope it helps :)

6 0
2 years ago
Which expressions are equivalent to 4m + 12? Choose ALL that apply.<br>​
riadik2000 [5.3K]

Answer:

Step-by-step explanation:

Option 1:

4(m + 12) = 4m + 48 (not what we want)

Option 2:

6m - 2m + 12 = 4m + 12 (one of the right answers)

Option 3:

4(m + 3) = 4m + 12 (one of the right answers)

Option 4:

3m - m + 12 = 2m + 12 (not what we want)

Therefore the correct answers are Option 2 and Option 3.

6 0
3 years ago
Read 2 more answers
Which interpretation for the given expression is correct?
professor190 [17]

Answer:

C

Step-by-step explanation:

5(3x - 4)^2

the product of 5 and the square of 3x - 4.....because the product means multiply....and ur multiplying 5 by the square of 3x - 4

3 0
3 years ago
Please help! Will Mark brainliest!
solong [7]

Answer:

4.5 inches

Step-by-step explanation:

Sorry if its wrong. I tried.

8 0
3 years ago
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