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antoniya [11.8K]
2 years ago
8

The next test will be a hundred points total, but only forty questions will be asked. Some questions are worth two points each a

nd the rest are four points each. How many of each questions is there?
Mathematics
1 answer:
photoshop1234 [79]2 years ago
8 0

Answer:

  • 10 questions that are 4-point
  • 30 questions that are 2-point

Step-by-step explanation:

<em>Numerical reasoning</em>

If all questions were 2-point, the total score would be 80. It is 20 more than that. Each 4-point question that replaces a 2-point question will add 2 points to the score, so there must be 20/2 = 10 of them.

There are 10 4-point questions and 30 2-point questions.

_____

<em>With an equation</em>

Let x represent the number of 4-point questions. Then 40-x is the number of 2-point questions. The total number of points is ...

... 2(40-x) +4x = 100

... 2x +80 = 100 . . . . simplify

... 2x = 20 . . . . . . . . .subtract 80

... x = 10 . . . . . . . . . . divide by 2.

There are 10 4-point questions and 40-10=30 2-point questions.

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In Exercise,find the balance in the account after 10 years.
djverab [1.8K]

Answer: The balance in the account after 10 years is $3374.65

Step-by-step explanation:

The exponential equation for growth [ compounded continuously] is

y=pe^{rt}

, where P= Present value

r= growth rate  ( in decimal)

t= time (years)

By considering the given information , we have

p=$2500  r = % =0.03  and t= 10

Substitute all the values in the above equation , we get

y=2500e^{0.03(10)}

y=2500e^{0.3}

y=2500(1.3498588)=3374.64701894\approx3374.65  [Round to the nearest cent]

Therefore, the balance in the account after 10 years is $3374.65

3 0
2 years ago
4x+3y how to solve this question and why is it such a small question
Law Incorporation [45]
I need help on that do you know the answer
4 0
3 years ago
Hello? i have a question.​
Vedmedyk [2.9K]

Answer:

whats your question

Step-by-step explanation:

4 0
3 years ago
QUICK<br><br> Find the area of the shaded region. Use 3.14 for pi.
ivolga24 [154]

Answer:

The shaded region is 353.25m^2.

Step-by-step explanation:

The area of a circle is defined by the multiplication of the square of its radius, or half its diameter, by pi, or simply A=\pi r^2.

15m is the radius of the large circle, and also the diameter of the smaller circles.

The area of the shaded region will be the subtraction of the area of the two smaller circles from the area of the larger circle.

As such:

A=\pi(15)^{2}-2(\pi(\frac{15}{2} )^{2})\\\\A=(3.14)(15)^{2}-2(3.14)(\frac{15}{2} )^{2}\\A=706.5-353.25\\A=353.25

4 0
2 years ago
Read 2 more answers
5.36 - 0.78 =<br><br> 4.58<br> 5.37<br> 4.38<br> 5.48
Daniel [21]
The answer to this is 4.58
6 0
3 years ago
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