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ryzh [129]
3 years ago
7

24 = -3(2а — 15) — а

Mathematics
1 answer:
Hoochie [10]3 years ago
5 0

Answer:

a=3

Step-by-step explanation:

24= -3(2a-15)-a -->given

24=-6a+45-a -->distribute the -3

24=-7a+45 -->combine like terms

-21=-7a -->subtract 45 from both sides

3=a -->divide both sides by -7

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faltersainse [42]

Answer:

oc

Step-by-step explanation:

m n

6 0
3 years ago
Which of the following is a proportion?
poizon [28]

Answer:

Option C, 14/21=9/21 is the proportion.

Step-by-step explanation:

Given:

a.5/7 = 10/12

b.9/15 = 12/18

c.4/6 = 8/12

d.14/21 = 9/12

We have to find the proportions.

In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.

Let's work with option C

⇒ \frac{4}{6}=\frac{8}{12}

To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).

Simplest form of  \frac{8/2}{12/2} = \frac{4}{6} , \frac{4/2}{6/2}= \frac{2}{3}

Simplest form of \frac{4}{6} = \frac{2}{3}

Both sides in option C have equal ratios of 2/3.

So 4/6=8/12 is in proportion.

6 0
4 years ago
WILL MARK BRANLIEST<br> 1. Solve the inequality for x <br> -4x + 6 &lt; 50
cricket20 [7]

Answer:

The answer is -11

Step-by-step explanation:

subtract 6 from both sides.

divide both sides by the negative 4

Simplify 44/-4x

which gives you x= -11

8 0
3 years ago
Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.
oksian1 [2.3K]

Answer:

0.36 = 36% probability that the land has oil and the test predicts it

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

45% chance that the land has oil.

This means that P(A) = 0.45

He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil.

This means that P(B|A) = 0.8

What is the probability that the land has oil and the test predicts it?

This is P(A \cap B). So

P(B|A) = \frac{P(A \cap B)}{P(A)}

P(B \cap A) = P(B|A)*P(A) = 0.8*0.45 = 0.36

0.36 = 36% probability that the land has oil and the test predicts it

5 0
3 years ago
HELP ASAP PLEEEEEEEEEAAAASSSSE GIVING BRAINLIEST
Flauer [41]

Answer:

It can be decomposed into the following simplest shapes:

TWO RECTANGLES AND ONE TRIANGLE  

Step-by-step explanation:

You can observe in the picture attached that it can be decomposed into the following simplest shapes:

Two Rectangles.

One Triangle.

Because,

The area of the a rectangle can be found with:

A= lw

Where "l" is the length and "w" is the width.

You can identify in the picture that:

lA: 14 ft

Wa: 13ft -7ft= 6ft

1b= 20 ft

wb= 7ft

So, Substituting the values, you get that the areas of the rectangles A and B are:

Aa: (14ft) (6ft)= 84ft²

Ab: (20ft) (7ft) = 140ft²

The formula for the area of a triangle is:

A= bh/2

Where "b" is the base and "h" is the height.

In this case:

b= 20ft- 14ft= 6ft

h= 6ft

Then, its area is:

Ac =(6ft) (6ft)/2

which iis 18ft²

Then, it will bring the total area of carpet that Valerie needs:

At= Aa+ Ab+ Ac

At= 84ft² + 140ft² + 18ft²

At= 242²

5 0
3 years ago
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