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4 years ago

How to translate the algebraic expression: One-fourth of the sum of 8 and m

Mathematics

1 answer:

natulia [17]4 years ago

5 0

Answer:

1/4(8+m)

Step-by-step explanation:

this is your answer for sure

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16y^4+16y^3+48y^2 mngjhkfhjfdhbkjbf vbbv hbvjhbdv hjbjhvbjhvb

Alex17521 [72]

Answer:

take 16y² common in all

Step-by-step explanation:

16y²(y²+y+3)

7 0

4 years ago

The length of a rectangle is 2cm less than 7 times the width. the perimeter is 60cm. find length

Bezzdna [24]

Answer:

26 cm

Step-by-step explanation:

we can make an equation to find the lengths

2(x+7x-2) = 60

x : length of width

7x-2 : the length of length

2 : the two pairs of length and width

solving this equation, we get x = 4

but that is not the answer

we have to plug in x=4 into 7x-2

7*4-2 = 28-2 = 26

4 0

4 years ago

Use the Pythagorean theorem to find the lengths of the sides of the right triangle. Use a calculator when necessary. A right tri

Doss [256]

Answer:

The length of the sides of the right angle triangle

15 , 25, 20

Step-by-step explanation:

Explanation:-

Step(i):-

we know that by using Pythagorean theorem to find the lengths of the sides of the triangle

AC² = AB² + BC²

Given a right triangle has legs labeled 3m and 2m+10

let us assume that AB = 3m and BC = 2m + 10

Given a hypotenuse labeled 5m

let us assume that hypotenuse AC = 5m

Step(ii):-

Now by using Pythagorean theorem

AC² = AB² + BC²

(5m)² = (3m)² + (2m+10)²

25m² = 9m² + 4m² + 40m + (10)² ( since (a + b)² = a²+2ab+b²) )

on simplification , we get

25m²-13m² -40m -100 =0

12m² -40m -100 =0

4(3m² -10m -25) =0

3m² -10m -25 =0

3m² - 15m + 5m -25 =0

3m(m-5) + 5(m-5) =0

(3m +5) (m-5) =0

3m +5 =0 and m-5=0

3m = -5 and m =5

$m = \frac{-3}{5}$ and m=5

we can not choose negative value

so the value m=5

Step (iii):-

The sides of right angle triangle

AB = 3m

AB = 3(5) = 15 and

BC = 2m + 10

BC = 2(5) +10 = 20

The hypotenuse AC = 5m

AC = 25

Conclusion:-

The lengths of the sides of the right triangle

15, 25 ,20

3 0

4 years ago

Can you subtract 7-m?

ella [17]

Answer:

if this is in an inequality problem no because you can only combine like terms such as combining m and m and no variable numbers together you cannot subtract a variable from a number unless you have what the variable is equal to. correct me if im wrong

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

In an election, the population consists of the people who voted. Although there is overall data on how the population voted, the

andrew-mc [135]

Answer:

Answer:

P(A) = 0.39

Step-by-step explanation:

We are given;

P(W|A) = 0.7

P(W|A^c ) = 0.3

We are told that 60% of the respondents said they voted for A. Thus;

P(A|W) = 60% = 0.6

Now, using the principle of drawing lots, we can be able to find the probability of the event that they are willing to participate in the exit poll which is P(W).

Thus;

P(W) = [P(W|A) × P(A)] +[P(W∣A^c) × P(A^c)]

Now, P(A^c) can be expressed as 1 - P(A)

Thus, we now have;

P(W) = [P(W|A) × P(A)] + [P(W∣A^c) × (1 - P(A)]

Plugging in the relevant values gives;

P(W) = 0.7P(A) + 0.3(1 - P(A))

P(W) = 0.7P(A) + 0.3 - 0.3P(A)

P(W) = 0.3 + 0.4P(A)

Now,using Baye's theorem, we can find an expression for P(A|W)

Thus;

P(A|W) = [P(A ∩ W)]/P(W)

This can be further expressed as;

P(A|W) = [P(A) × P(W|A)]/P(W)

Plugging in relevant values, we have;

0.6 = 0.7P(A)/(0.3 + 0.4P(A))

Cross multiply to get;

0.6(0.3 + 0.4P(A)) = 0.7P(A)

0.18 + 0.24P(A) = 0.7P(A)

0.18 = 0.7P(A) - 0.24P(A)

0.46P(A) = 0.18

P(A) = 0.18/0.46

P(A) = 0.39

Step-by-step explanation:

braniest

4 0

3 years ago