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babunello [35]
4 years ago
7

Policeman A and Policeman B hand out 70 speeding tickets in a month.

Mathematics
1 answer:
Inessa05 [86]4 years ago
8 0

Answer:

Policeman A = 56 tickets

Step-by-step explanation:

Policemen A + B = 70

If Policeman B hands out x no of tickets...

Then Policeman A hands out 4x no of tickets

meaning...

x + 4x = 70

5x = 70

x = 70/5

x = 14

Therefore Policeman A hands out..

4x = 4 × 14 = 56 tickets

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If g(x)= x+1/x-2 and h(x)= 4-x, what is the value of (g•h)(-3)?
jek_recluse [69]

Answer:

8/5

Step-by-step explanation:

First find h(-3)

 h(-3)= 4-(-3) = 4+3 = 7

Then take this result and find g(h(-3)) = g(7)

g(7) = (7+1)/( 7-2) = 8/5

8 0
3 years ago
Solve the system by the elimination method.<br><br> 2a + 3b = 6<br> 5a + 2b - 4 = 0
mariarad [96]
2a + 3b = 6 --> Equation 1
5a + 2b = 4 --> Equation 2
Equation 1 * 5 --> 10a + 15b = 30
Equation 2 * 2 --> 10a + 4b = 8
Equation 1 - Equation 2 --> 11b = 22 --> b = 2
Sub b=2 in Equation 1 (or 2, either works):
2a + 3b = 6
2a + 3(2) = 6
2a + 6 = 6
2a = 0
a = 0

b = 2, a = 0

5 0
3 years ago
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Rudik [331]
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5 0
4 years ago
A prism with a heart-shaped base is sliced parallel to the base. What shape is formed?
e-lub [12.9K]

The shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be <u>heart-shaped</u>.

A prism is a polyhedron made up of n parallelogram faces that connect the n-sided polygon base, the second base, which is a translated duplicate of the first base, and the n faces. The bases are translated into all cross-sections that are parallel to them.

In the question, we are informed that a prism with a heart-shaped base is sliced parallel to the base.

We are asked what shape is formed.

From the above discussion, we know that the bases are translated into all cross-sections that are parallel to them, that is, all cross-sections parallel to the base, will be congruent to the base.

Thus, the shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be <u>heart-shaped</u>.

Learn more about prisms at

brainly.com/question/3594469

#SPJ1

8 0
2 years ago
Each base in this right prism-like figure is a quarter of a circle with a radius of 2m.
NISA [10]

Answer:

volume = 10\pi m^3

Step-by-step explanation:

Volume of a prism = Base Area x height

Base is a quarter of a circle.

              Area \ of \ circle = \pi r^2\\\\r = 2m\\\\Area \ of \ quarter \ of \ a \ circle = \frac{1}{4} \pi r^2 = \frac{1}{4}\pi \times 4 = \pi m^2

Base Area = π square meters.

Therefore ,

          Volume = Base Area \times height = \pi \times 10 = 10\pi m^3

7 0
3 years ago
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