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3 years ago

MULTIPLE CHOICE QUESTION

Mathematics

1 answer:

Paha777 [63]3 years ago

3 0

Answer:

i think it will be #3

Step-by-step explanation:

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The mayor of a town receives 75% of the votes in a town election. If 680 people voted, how many votes did the mayor receive? 360

7nadin3 [17]

First you need to put everything as 1 unit. I'll convert both to fractions for now.
75% = 3/4

680/1 * 3/4

Cross Multiply

2040/4

Simplify

510

The mayor received 510 votes.

5 0

3 years ago

The ratio of the number of A's in the class to B's in the class was 2:5. How many people got A's if there were 40 people who got

Umnica [9.8K]

Answer:

16 students got an A

Step-by-step explanation:

Set up an equation to compare the ratio to the scores:

$\frac{2}{5} = \frac{x}{40}$

Cross multiply:

80 = 5x

Divide each side by 5:

x = 16

Now, check if $\frac{16}{40} = \frac{2}{5}$

16/8 = 2

40/8 = 5

The ratios are the same! Therefore, 16 students got an A!

Hope this helps! Feel free to contact me if you have any questions :)

7 0

3 years ago

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The price of a community pool membership has a one-time sign-up fee and a monthly fee. The price can be modeled by the function

Misha Larkins [42]

Your answer is option 1.

8 0

3 years ago

Really need help on #15 please.

ollegr [7]

Step-by-step explanation:

Let's call L the length and W the width. The length is 10 feet longer than the width, so:

L = W + 10

The area is the length times width, so:

119 = LW

Substituting:

119 = (W + 10) W

119 = W² + 10W

0 = W² + 10W − 119

0 = (W + 17) (W − 7)

W = -17 or 7

Since W must be positive, W = 7.

L = W + 10

L = 17

The length and width are 17 feet and 7 feet, respectively.

5 0

3 years ago

I need help with these three problems please

Liono4ka [1.6K]

Answer:

Q7. 11.3 inches (3 s.f.)

Q8. 96.2 ft

Q9. 36.4cm

Step-by-step explanation:

Q7. Please see attached picture for full solution.

Q8. Let the length of a side of the square be x ft.

Applying Pythagoras' Theorem,

$34^{2} = {x}^{2} + {x}^{2} \\ 2 {x}^{2} = 1156 \\ {x}^{2} = 1156 \div 2 \\ {x}^{2} = 578 \\ x = \sqrt{578} \\$

Thus, the perimeter of the square is

$= 4( \sqrt{578} ) \\ = 96.2 ft\: \: \: (3 \: s.f.)$

Q9. Equilateral triangles have 3 equal sides and each interior angle is 60°.

Since the perimeter of the equilateral triangle is 126cm,

length of each side= 126÷3 = 42 cm

The green line drawn in picture 3 is the altitude of the triangle.

Let the altitude of the triangle be x cm.

sin 60°= $\frac{x}{42}$

$\frac{ \sqrt{3} }{2} = \frac{x}{42} \\ x = \frac{ \sqrt{3} }{2} \times 42 \\ x = 21 \sqrt{3} \\ x = 36.4$

(to 3 s.f.)

Therefore, the length of the altitude of the triangle is 36.4cm.

4 0

3 years ago

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