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forsale [732]
3 years ago
12

There are 5 multiple-choice questions and 5 short-answer questions on a quiz. The short-answer questions are worth twice as many

points as the multiple-choice questions. Let p represent the points for each short-answer question. Which expression represents the total number of points for the quiz?
5p + 10p
10(p + 2)
10p
Mathematics
2 answers:
Murljashka [212]3 years ago
7 0

Answer:

5p + 10p

one is 5p and the other is twice as many points and 5 x 2  = 10 so it is twice as many points

Step-by-step explanation:

Burka [1]3 years ago
5 0

Answer:

The second one

Step-by-step explanation:

10(p+2)

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In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2 radians
Gennadij [26K]

<em><u>Question:</u></em>

In a circle with a radius of 12.6 ft, an arc is intercepted by a central angle of 2π/7 radians.

What is the arc length?

Use 3.14 for π and round your final answer to the nearest hundredth.

Enter your answer as a decimal in the box.

<em><u>Answer:</u></em>

<h3>Arc length is 11.30 feet</h3>

<em><u>Solution:</u></em>

Given that,

Radius of circle = 12.6 feet

Central angle = \frac{2 \pi }{7} radians

To find: Arc length

<em><u>The arc length of a circle of radius "r" when central angle given in radians is:</u></em>

s = r \times \theta

Where,

s is the arc length

r is the radius

\theta is the central angle in radians

<em><u>Substituting the values we get,</u></em>

s = 12.6 \times \frac{2 \times \pi }{7}\\\\s = 12.6 \times \frac{2 \times 3.14 }{7}\\\\x = 11.304 \approx 11.30

Thus, arc length is 11.30 feet

7 0
3 years ago
A Boxerville Express commuter train leaves the station every 30 minutes. When Theo arrives at the station, a woman tells him she
Dmitrij [34]
Answer: D

The answe is just simply D because of the minutes when it adds up is almost the same as MPH
4 0
3 years ago
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The average of three numbers is 22. the average of two numbers is also 22. what is the value of the third number in the original
IRINA_888 [86]

Answer:

C

Step-by-step explanation:

If the average wasn't shifted at all, that means the third value must've been the same as the average to not shift it.

8 0
3 years ago
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The total amount of money earned by all three plumbers on Monday was $1,400. On Tuesday they earned a total of $1,660, and on We
Alekssandra [29.7K]
Set of equations that can be used to calculate rate for each plumber:
2A+8B+8C = 1,400 --- (1)
4A+7B+10C = 1,660 --- (2)
3A+9B+9C = 1,660 --- (3)
------------------------------------
2*(1) - (2)
------------------------------------
4A+16B+16C = 2,800
4A+7B+10C = 1,660 -
------------------------------------
       9B+6C = 1,140 --- (4)
------------------------------------
3(2) -4(3)
-----------------------------------
12A+21B+30C = 4,980
12A+36B+36C = 6,600 -
-----------------------------------
         -15B-6C = -1,620 --- (5)
------------------------------------
(4) + (5)
------------------------------------
9B+6C = 1140
-15B-6C = -1620 +
-------------------------------------
-6B = -480 => 6B = 480 => B = 480/6 = 80
-------------------------------------------------------
Using (4), 9(80)+6C = 1140
720+6C = 1140 => 6C = 1140-720 = 420 => C = 420/6 = 70
------------------------------------------------------------------------------
Using (1), 2A+8(80)+8(70) = 1400
2A+640+560 =1400 => 2A = 1400-640-560 = 200 => A = 200/2 = 100
----------------------------------------------------------------------------------------------
The rates are:
A = $100
B = $80
C = $70
--------------------------------
On Thursday, number of calls: A = 4 hrs, B = 6 hrs, C = 3 hrs
Money earned = 4*100+6*80+3*70 = $1,090
6 0
3 years ago
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Can someone help me. ​
marshall27 [118]

Answer:

B

Step-by-step explanation:

yeah just pick B man lol

7 0
3 years ago
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