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mixer [17]
3 years ago
13

Which number line represents the solution set for the inequality 3(8-4x) < 6(x - 5)?

Mathematics
1 answer:
STatiana [176]3 years ago
7 0

Answer:

x>3

Step-by-step explanation:

We are given with the inequation 3(8-4x) < 6(x - 5)

Dividing both sides in the above in equation by 3 we get

(8-4x)<2(x-5)

Distributing 2 over (x-5)

(8-4x)<2x-10

8-4x<2x-10

adding 10 and 4x on both hand sides we get

8+10<2x+4x

18<6x

Dividing both sides by 6 we get

3<x

Hence the solution to the given in equation is x>3

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Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. a. How many times larger is the are
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Answer:

The answer is below

Step-by-step explanation:

a) Triangle A is attached in the image below.

The base of triangle A is 3 units and its height is 3 units. The area of a triangle  is given as:

Area = (1/2) × base × height

Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²

Area of the scaled copy = 72 unit²

Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16

Hence the scaled copy area is 16 times larger than that of triangle A.

b) For the scaled copy:

Area of the scaled copy = (1/2) × base × height = 72 unit²

base × height = 144

Since the base and height are equal

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base = 12, also height = 12

Base of scaled copy = 12 = 4 × base of triangle A

Therefore the scale factor used is 4

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3 years ago
How much does 4 7/5 kg of candy cost if 5/6 kg costs 7.50
inn [45]

Answer:

$48.60

Step-by-step explanation:

4 7/5 is a funny way to express a fraction... but anway..... if this is correct, then the answer is as follows:

5/6 kg ------> cost $7.50

1 kg ----> costs $7.50 ÷ 5/6 kg = $9

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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