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Roman55 [17]
3 years ago
13

A table and 8 chairs weigh 234.68 lb together. If the table weighs 157.84 lb, what is the weight of one chair in pounds?

Mathematics
1 answer:
Trava [24]3 years ago
5 0
You subtract 234.68 and 157.84 and you get 76.84lb
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I need help with this question
zvonat [6]

Answer:

Option B is correct

Step-by-step explanation:

Given:

f(x) = -20x^2 +14x +12 and

g(x) = 5x - 6

We need to find f/g and state its domain.

f/g = -20x^2 +14x +12/5x - 6

Taking -2 common from numerator:

f/g = -2(10x^2 - 7x - 6) / 5x -6

Factorize 10x^2 - 7x - 6= 10x^2 - 12x +5x -6

Putting in the above equation

f/g = -2(10x^2 - 12x +5x -6)/ 5x -6

f/g = -2(2x(5x-6) + 1 (5x-6)) / 5x-6

f/g = -2 ( (2x+1)(5x-6))/5x-6

cancelling 5x-6 from numerator and denominator

f/g = -2(2x+1)

f/g = -4x -2

The domain of the function is set of all values for which the function is defined and real.

So, our function g(x) = 5x -6 and domain will be all real numbers except x = 6/5 as denominator will be zero if x=5/6 and the function will be undefined.

So, Option B is correct.

8 0
3 years ago
Read 2 more answers
Malik fulton's savings account has a principal of $1,640 with an apr of 6% simple interest. how much is in his account at the en
ella [17]
I=prt
I=1640*0.06*6/12=49.2
A=1640+49.2=1,689.2
8 0
3 years ago
If possible step by step explanation. thank you!
elixir [45]

Answer:

A

Step-by-step explanation:

\frac{(3x^{2} )^\frac{1}{2} }{3^\frac{1}{2} } =3

(3x^2)^\frac{1}{2} = 3^\frac{1}{2} x

Remember that \frac{x^b}{x^c} =x^(b-c)

Using that \frac{3^\frac{1}{2}x }{3^\frac{1}{2} }=3^(1/2x-1/2)=3^((x-1)/2)

3^\frac{x-1}{2} =3^1

So we can say: \frac{x-1}{2} =1, because the bases are the same

We can multiply both sides of the equation by 2. We get x-1=2, and x=3. Which is A.

7 0
3 years ago
Kaylee drove 75.5 miles in 54 minutes,if she continues to drive at the same rate, how long will it take her to drive 250 miles?
Crazy boy [7]

Answer:

179 minutes

Step-by-step explanation:

  1. Divide both sides by 75.5 to see how many minutes it would take to drive 1 mile. (54 / 75.5) =108/151
  2. She can drive 1 mile in 108/151 minutes
  3. Times by 250. (108/151 * 250) 178.8
  4. 179 to nearest minute
7 0
3 years ago
Solve the system by substitution.
Butoxors [25]

<u>Answer:</u>

The solution set of given equations -x-y-z = -8 and - 4x + 4y + 5z = 7 and 2x + 2z = 4  is (3, 6, -1)

<u>Solution:</u>

Given, set linear equations are

-x – y – z = -8 ⇒ x + y + z = 8 → (1)

-4x + 4y + 5z = 7 ⇒ 4x – 4y – 5z = -7 → (2)

2x + 2z = 4 ⇒ x + z = 2 → (3)

We have to solve the above given equations using substitution method.

Now take (3), x + z = 2 ⇒ x = 2 – z  

So substitute x value in (1)  

(1) ⇒ (2 – z) + y + z = 8 ⇒ 2 + y + z – z = 8 ⇒ y + 0 = 8 – 2 ⇒ y = 6.

Now substitute x and y values in (2)

(2) ⇒ 4(2 – z) – 4(6) – 5z = - 7 ⇒ 8 – 4z – 24 – 5z = -7 ⇒ -9z – 16 = -7 ⇒ 9z = 7 – 16 ⇒ 9z = -9 ⇒ z = -1

Now substitute z value in (3)

(3) ⇒ x – 1 = 2 ⇒ x = 2 + 1 ⇒ x = 3

Hence, the solution set of given equations is (3, 6, -1).

4 0
3 years ago
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