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anygoal [31]
3 years ago
12

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x

Mathematics
1 answer:
cricket20 [7]3 years ago
6 0

Answer:

The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

x + y = 24

3x + 5y = 100

Try elimination.

-3x - 3y = - 72

2y = 28

y = 14

Then x = 10

So, we have 10  3-point problems  and 14 5-point problems.

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A circle has an arc of length 20π that is intercepted by a central angle of 180°. What is the radius of the circle?
Bond [772]

Answer:

10π

Step-by-step explanation:

RULE:  The angle measure of the central angle is congruent to the measure of the intercepted arc.  

RULE:  Central Angle = Arc length

Given:  

Arc length (20 π) = central angle (180)

we know 180 degrees is a straight line, thus a semi-circle is created.  This would be the diameter.  

1/2 diameter is the radius.  20π/2 is the radius.  

10π

8 0
3 years ago
Can someone help me with 5-9 please?!?!? Thank you
valina [46]

5 is 1!!!!!!

Step-by-step explanation:

im sorry i dont know the others

3 0
2 years ago
Which best explains how you know that P(2, 7) is on the same line as Q(7, 4) and R(12, 1)?
Helen [10]

Answer:

See explanation below

Step-by-step explanation:

The best explanation is noticing that in order to get from the point R (12, 1) to the point Q (7, 4) we move 5 units to the left and 3 units up. And to go from point Q (7, 4) to point P (2, 7) we do exactly the same: move 5 units to the left and 3 units up. That means that these points are all connected via the same rate of change:  - 3/5, which is in fact the slope of the line the three points belong to.

4 0
3 years ago
Simplify.
Kazeer [188]
(1/2)^2 = 1/4
2-2/3 = 6/3 - 2/3 = 4/3

OK so:
(1/2)^2 - 6(2-2/3) = 1/4 - 6(4/3)
= 1/4 - 8
= 1/4 - 32/4
= -31/4
3 0
3 years ago
In pensacola in june, high tide was at noon. the water level at high tide was 12 feet and 2 feet at low tide. assuming the next
castortr0y [4]

An equation for water level in june for pensacola as a function of time (t) is f(t) = 5 cos pi/6 t + 7.

Which equation of cos show period amplitude ?

The equation given below show aplitude and period

y = A cos bx + c

where A = amplitude,

b = 2 pi/Period,

Period = 12 hrs,

c = midline,

x = t and y = f(t)

We have to find the amplitude

<h3>What is the formula for the amplitude?</h3>

A = 1/2 (Xmax - Xmin)

12 - 2 / 2 = 10/2 = 5

b = 2 pi / 12 = pi/6

c = 1/2 (Xmax + Xmin)

12+2/2 = 7

Therefore, the an equation for water level in june for pensacola as a function of time (t)

f(t) = 5 cos pi/6 t + 7

To learn more about the function of time visit:

brainly.com/question/24872445

3 0
2 years ago
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