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2 years ago

Which of the following is not a way to represent the solution of the inequality 8x – (5x + 4) 2-31?

Mathematics

1 answer:

Butoxors [25]2 years ago

7 0

Answer:

caca sh

Step-by-step explanation:

shart

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How many gallons of a 50% antifreeze solution must be mixed with 70 gallons of 30% antifreeze to get a mixture that is 40% antif

Colt1911 [192]

Answer:

70 gallons

Step-by-step explanation:

x gallon of 50%

x * 0.5 + 70 * 0.3 = (x + 70) * 0.4

0.5x + 21 = 0.4x + 28

0.1x = 7

x = 70

5 0

2 years ago

A bottle rocket is launched straight up. Its height in feet (y) above theground x seconds after launch is modeled by the quadrat

bazaltina [42]

The eqution of height y in terms of the time x is

$y=-16x^2+116x+7.$

We are asked when the rocket will strike the ground, so that is the same that sayin when will the rocket's height will be zero again, that is, y=0. so we have to solve

$-16x^2+116x+7=0.$

the solutions of this equations are

$x=\frac{-116\pm\sqrt[]{116^2-4(-16)(7)}}{2(-16)}=\mleft\{\begin{aligned}-0.05 \\ 7.3\end{aligned}\mright.$

So, the rocket will strike the ground after 7.3 seconds

4 0

1 year ago

Can someone please solve

BartSMP [9]

Answer: $\sqrt{7}$

Step-by-step explanation:

Using the Pythagorean theorem,

$3^2 + b^2 = 4^2\\\\9+b^2 = 16\\\\b^2 = 7\\\\b=\boxed{\sqrt{7}}$

8 0

1 year ago

In a group of 100 adults, 70 say they are most likely to do spring houseclean-ing in March, April, or May. Of these 70, the numb

son4ous [18]

Answer:

Adults that clean in March = 18

Adults that clean in April = 48

Adults that clean in May = 4

Step-by-step explanation:

Adults that clean in the months of March, April and May = 70

Let a represent March, b represent April and c represent May.

Therefore, a + b + c = 70 (i)

From the question, the number of adults that clean in April is 14 more than number of the adults cleaning in months of March and May combined.

b - ( a + c) = 14 (ii)

also, the total number who clean in April and May is 2 more than three times the number who clean in March.

b + c - 3a = 2 (iii)

From (i), a + c = 70 - b (iv)

Substituting (iv) into (ii), b - ( 70 - b) = 14

b -70 + b = 14

2b = 84, b =48

Therefore a + c = 70 - 48

a + c = 22; c = 22 - a (v)

Substituting (v) and b = 48 into (iii)

48 + 22 - a -3a = 2

4a = 72, a = 18

Therefore, c = 22 - 18

c = 4

8 0

2 years ago

A woman is 64 5/12 inches tall and her son is 59 4/9 inches tall. How much taller is the woman?

Marina CMI [18]

Answer:

4459/36

Step-by-step explanation:

8 0

3 years ago