MATHEMATICS HIGH SCHOOL

Question 6 Multiple Choice Worth 1 points)
(01.06 LC)
Solve x - 5y = 6 for x.

Answers

Answer 1
Answer:

Answer:

x = 6+5y

Step-by-step explanation:

x - 5y = 6

Add 5y to each side

x - 5y+5y = 6+5y

x = 6+5y
Answer 2
Answer:

Answer:

x = 6 + 5y

Step-by-step explanation:

x - 5y = 6

Solve for x.

x - 5y = 6

Add 5y to both side

x - 5y + 5y = 6 + 5y

x=6+5y

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What are the real or imaginary solutions of the polynomial equation? x^3 = 216

Answers

x^3 = 216
this means that
x = 216^1/3
x = 6 (real solution)

x = -3 -3^(3/2)i (imaginary solution)
x = -3 +3^(3/2)i (imaginary solution)
x³ = 216 
∛x³ = ∛216
x = 6

Fifty pounds of a cement-and-sand mixture is 40% sand.How many pounds of sand must be added for the resulting mixture to be 60% sand?

Answers

To get the answer you would have to multiply fifty by .4 to get 20. now you know that 20 is 2/5 of the bad and 1/5 must be 10. So you would multiply 10 by 3 to get to 3/5 so you can have 60%. The final answer is 30

Solve for w k=2b-5w/3k

Answers

Answer:

b = (2b - 3k^(2) )/(5)

Step-by-step explanation:

To solve for w in this equation;

k = (2b - 5w)/(3k)

This implies we have to make w the subject of the formula.

To make w subject of the formula, first we cross multiply.

3k  × k  =  2b  -  5w

3k²  =   2b   -5w

Now we will subtract  2b from both- side of the equation

3k²   - 2b  = -5w

we want to make the right hand side of the equation positive, to do that , we will just multiply through by minus sign.  The equation becomes;

-3k²   +   2b   = 5w

We can rearrange the equation;

2b -  3k²   =    5w

5w  =  2b  - 3k²

Then we will now divide both-side of the equation by 5

(5w)/(5) = (2b - 3k^(2) )/(5)

In the left side of the equation, the 5 at the  numerator will cancel out the 5 at the denominator.

Hence;

w  =   (2b - 3k^(2) )/(5)
k = (2b - 5w)/(3k)
3k^(2) = 2b - 5w
3k^(2) + 5w = 2b
5w = 2b - 3k^(2)
w = (2)/(5)b - (3)/(5)k^(2)

Mariah ran 4.8 miles. jaliyah ran 2.75 miles. How much farther did mariah run than janiyah.

Answers

Answer:

2.05

Step-by-step explanation:

Will give brainliest!!Can someone please explain how i do problems like these my teacher makes no sense

Select the correct answer.
Which expression is equivalent to the given expression?
(12g^2h^7)(3g–^2h-4)

A. 36gh^3

B. 36h^3

C. 36/g^4h^28

D. 38/h^3

Answers

Answer:

C

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

A landscaper is designing a flower garden in the shape of a trapezoid. She wants the shorter base to be 3 yards greater than the height, and the longer base to be 7 yards greater than the height. the total area of the flower garden is 150 square yards. what will the length of each base be

Answers

18 yards and 22 yards are the length of trapezoid.

What is Trapezoid?

Trapezoids are quadrilaterals that have two parallel sides and two non-parallel sides

Given,

shorter base to be 3 yards greater than the height

b₁=h+3

longer base to be 7 yards greater than the height.

b₂=h+7

Area of trapezoid=1/2(b₁+b₂)h

150=1/2(h+3+h+7)h

150=(2h+10)h/2

150=2h²+10h/2

150=2h²+5h

h²+5h-150=0

h²+15h-10h-150=0

h(h+15)-10(h+15)=0

(h-10)(h+15)=0

h=10 or h-15

h value should be positive.

So b₁=h+3=15+3=18

b₂=h+7=15+7=22

Hence the bases be 18 yards and 22 yards.

To learn more on Trapezoid click:

brainly.com/question/22607187

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From your information 
Let shorter base = h +3 and longer base = h + 7 where h is the height.
Formula for area of a trapezoid is A = (1)/(2) (b_1 +b_2)h
Substituting into the formula we get the following equation.
150= (1)/(2)(h+3+h+7)h
150 = (1)/(2) (2h+10)h
150=h^2+5h
This is a quadratic equation which I will solve by factoring.
h^2+5h-150 =0
(h-10)(h+15)=0
h-10= 0 ..... h=10 this is a useable answer (it's positive and length must be nonnegative)
h+15=0 .... h=-15 can't use this answer
so shorter base = 10 + 3 = 13 yards and longer base = 10 + 7 = 17 yards
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