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dimaraw [331]
3 years ago
9

Jessica completed 21 math problems in 14 minutes. At this rate, how many math problems could she complete in 30 minutes?

Mathematics
1 answer:
harina [27]3 years ago
6 0
To do this problem, you need to find how many questions per minute she can do. You would need to do 21 divided by 14. Which equals 1.5 questions per minute. From there you would do 1.5 times 30 and get 45.

So she can get 45 questions in 30 minutes.


Hope that helps!!
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In circle O, AC and BD are diameters.
Ronch [10]

Answer:

mArc A B = 120° (C)

Step-by-step explanation:

Question:

In circle O, AC and BD are diameters.

Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle D O C into 2 equal angle measures of x. Angles A O D and B O C also have angle measure x.

What is mArc A B?

a)72°

b) 108°

c) 120°

d) 144°

Solution:

Find attached the diagram of the question.

Let P be the radius drawn to cut angle D O C into 2 equal angle measures of x

From the diagram,

m Arc AOC = 180° (sum of angle in a semicircle)

∠AOD + ∠DOP + ∠COP = 180° (sum of angles on a straight line)

x° +x° + x° =180°

3x = 180

x = 180/3

x = 60°

m Arc DOB = 180° (sum of angle in a semicircle)

∠AOB + ∠AOD = 180° (sum of angles on a straight line)

∠AOB + x° = 180

∠AOB + 60° = 180°

∠AOB = 180°-60°

∠AOB = 120°

mArc A B = 120°

5 0
2 years ago
There is a 12.875 meter fence on one side of a rectangular garden. The gardener has 46.625 meters of fencing to enclose the othe
Harlamova29_29 [7]
10.4375

12.875×2=25.75    46.625-25.75=20.875   20.875÷2=10.4375
3 0
3 years ago
What is the circumference of a circle when the diameter is 3
Jlenok [28]

Answer:

9.42 units (3 s.f.)

Step-by-step explanation:

Circumference of circle= 2πr

Radius

= diameter ÷2

= 3 ÷2

= 1.5

Circumference of circle

= 2(π)(1.5)

= 3π

= 9.42 units (3 s.f.)

7 0
2 years ago
Read 2 more answers
Q1: Payments of $ 670 are being made at the end of each month for 5 years at an interest of 8% compounded monthly. Calculate the
Jlenok [28]

Answer:

So, the present accumulated value is, $ 49557.69

Step-by-step explanation:

According to the question, payments of $ 670 are being made at the end of each month for 5 years at an interest of 8% compounded monthly. So, present accumulated value, =

$ \sum_{x = 1}^{60}670 \times (1 + \frac{8}{12 \times 100})^{x}

= $ (670 \times (\frac {(1 + \frac {2}{300})^{61} -  ( 1 + \frac{2}{300})}{\frac{2}{300}})

\simeq $ 49557.69

So, the present accumulated value is, $ 49557.69

4 0
3 years ago
Read 2 more answers
A bag contains 5 red marbles, 6 green marbles, and 3 blue marbles. If Cymra draws a marble, keeps it and then draws another marb
Tasya [4]

Answer:

2.8

Step-by-step explanation:

the question says.... that we have 5 red, 6 green and then 3 blue....

we would 5+6+3=14 .....then 14÷5...because it was a red ball..... so 14 ÷5 = 2.8

8 0
3 years ago
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