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postnew [5]
3 years ago
9

n a survey, 480 people, or 75%, said they attended a movie at least once a month. How many people were surveyed

Mathematics
2 answers:
Mariana [72]3 years ago
6 0
75% of an unknown number of people is 480 people.
We translate this sentence into an equation and we solve the equation.
Let x = number of people who were surveyed.

75% of x = 480

75% * x = 480

0.75x = 480

x is being multiplied by 0.75. We want x alone, so we divide 0.75x by 0.75 to get x alone. Since we must do the same to both sides of an equation, we divide both sides of the equation by 0.75.

\dfrac{0.75x}{0.75} = \dfrac{480}{0.75}

x = 640

Answer: 640 people were surveyed.

scoundrel [369]3 years ago
5 0
Answer:

 640 people

Explanation:

480 people = 75 %
x people = 100%

480 : x = 75 : 100
75 x = 48,000
x = 48,000 : 75
x = 640

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zmey [24]

Answer: \frac{2A}{h} = w

Step-by-step explanation:

The formula for area of a triangle is A = wh\frac{1}{2}

Now we have to isolate for w.

First multiply by the 2 which is the reciprocal of 1/2 to cancel it out.

2A = wh\\

Now divide by h to isolate w.

\frac{2A}{h} = w

4 0
3 years ago
A ton might weigh 2000 pounds. How many six grades might weigh 2000 pounds?
Nikitich [7]

Answer:

25

Step-by-step explanation:

An average 6th grader weight 80 pounds and 2000/80 is 25

6 0
3 years ago
Use the explicit formula to determine the 50th term in the sequence:<br> 2,5,8,11,14,...
Tju [1.3M]

Answer:

149

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence.

5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 3 , thus

a₅₀ = 2 + (49 × 3) = 2 + 147 = 149

4 0
3 years ago
Solve using the substitution method.<br><br><br><br> x + 2y = 9<br><br> x + 3y = 13
Rasek [7]

x + 2y = 9

x + 3y = 13

____________________________________________________________

Solve for x in the first equation. Subtract 2y from both sides.

x = 9 - 2y

____________________________________________________________

Plug x into the second equation.

(9 - 2y) + 3y = 13

Combine like terms.

9 + y = 13

Subtract 9 from both sides.

y = 4

____________________________________________________________

Plug y back into the first equation.

x + 2(4) = 9

x + 8 = 9

Subtract 8 from both sides.

x = 1

____________________________________________________________

x = 1

y = 4

6 0
3 years ago
Customer- I recently saw an advertisement that said your company would give 5% discount to anyone who enrolls in your automatic
Darya [45]

Answer: $3.75

Step-by-step explanation:

The amount that you would save is 5% of your monthly bill of $75.

This amount is:

= 75 * 5%

= $3.75

<em>The total amount that you would pay is:</em>

<em>= 75 - 3.75</em>

<em>= $71.25</em>

4 0
3 years ago
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