MATHEMATICS MIDDLE SCHOOL

X varies directly with Y and Z. x = 40 when y = 10 and Z = 20. find X when y = 30 and Z = 40.​

Answers

Answer 1
Answer:

Answer:

x = 60

Step-by-step explanation:

Direct variation is of the form

y= kxz

We know x =40 and y =10 and z= 20

10 = k * 40 * 20

10 = k * 800

Divide each side by 800

10/800 = k

1/80 = k

The equation becomes

y = 1/80 xz

Let y = 30 and z = 40 and find x

30 = 1/80 * x * 40

30= 40/80 x

30 = 1/2x

Multiply each side by 2

2 * 30 = 2 * 1/2 x

60 = x

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Greatest common factor of 24 and 38

Which fraction is equivalent to 6/9ths 

A.18/36
B.3/4
C.12/18
D.1/3

Answers

(6)/(9) = (6\cdot2)/(9\cdot2) = (12)/(18) \ \ \ \Rightarrow\ \ \ Ans.\ C
the correct answer is c because if you divide 12/18 by 2 you will get 6/9.

Tim is painting his storage shed. He buys 4 gallons of white paint, and 3 gallons of blue paint. Each gallon of white paint costs $15.72, and each gallon of blue pain costs $21.87. How much will Tim spend on the paint?

Answers

$128.49

Further explanation

Given:

  • Tim is painting his storage shed.
  • He buys 4 gallons of white paint and 3 gallons of blue paint.
  • Each gallon of white paint costs $15.72.
  • Each gallon of blue pain costs $21.87.

Question:

How much will Tim spend on the paint?

The Process:

We first calculate the total cost spent on each color of the paint.

Total costs of white paint  \boxed{ \ = 4 \ gallons * ( \$15.72)/(1 \ gallon) = \boxed{ \ \$62.88 \ } \ }

Total costs of blue paint  \boxed{ \ = 3 \ gallons * ( \$21.87)/(1 \ gallon) = \boxed{ \ \$65.61 \ } \ }

The overall cost of painting is \boxed{ \ \$62.88 + \$65.61 = \boxed{ \ \$128.49 \ } \ }

Quick Steps:

Total costs  \boxed{ \ = \bigg(4 \ gallons * ( \$15.72)/(1 \ gallon) \bigg) + \bigg(3 \ gallons * ( \$21.87)/(1 \ gallon) \bigg) \ }

\boxed{ \ \$62.88 + \$65.61 = \boxed{ \ \$128.49 \ } \ }

Therefore, Tim will spend the total costs to paint his storage shed as much $128.49.

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Keywords:  Tim is painting his storage shed, 4 gallons of white paint, 3 gallons of blue paint, total costs, how much will Tim spend on the paint?

The total spend money by the Tim in all paint is \boxed{\bf\$ 128.49}.

Further explanation:

Given:

Tim buys 4 gallons of white paint and 3 gallons of blue paint.

The cost of the each gallons of white paint is \$15.72 and the cost of each gallons of blue paint is \$21.87.

Calculation:

Let x be the cost of the 4 gallons of white paint and y be the cost of the blue paint.

The cost of each gallons of white paint is \$15.72.

Therefore, the cost of the 4 gallons of white paint can be calculated as follows,

\begin{aligned}x&=4*\$ 15.72\n&=\$62.88\n\end{aligned}

The cost of each gallons of blue paint is \bf\$21.87.

The cost of the 3 gallons of blue paint can be calculated as follows,

\begin{aligned}y&=3*\$21.87\n&=\$ 65.61\n\end{aligned}

The total money that is spend for all the paint is \boxed{x+y}.

The total spend money can be calculated as,

\begin{aligned}x+y&=\$62.88+\$65.61\n&=\$ 128.49\n\end{aligned}

Thus, the total spend money by Tim for painting is \boxed{\bf\$ 128.49}.

Learn more:

1. Learn more about problem on function brainly.com/question/1632445

2. Learn more about problem on triangle brainly.com/question/7437053

3. Learn more about problem on range and domain of functions brainly.com/question/3412497

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Algebraic expression

Keywords:  Tim, spend money, gallons, white paint, blue paint, cost money, painting,  .

Kathleen, Penny, and Megan all order 12-ounce smoothies. After 5 minutes, Kathleen still has 3/4 left, Penny has 5/6 left, and Megan has 5/8 left. Who has the least amount of smoothie in their cup? Who has the greatest? Explain... Its a hard word problem for a 4th grader plz help!

Answers

penny has the most left of her smoothie
you have to find the common denominator(number that all of the denominators are divisible into.
the common denominator is 24
convert all the fraction accordingly 
Kathleen has 9/24 smoothie
penny has 20/24 smoothie
megan has 15/24 smoothie

What times what equals 90

Answers

The question is asking to state the two number that when multiplied, the product would be 90, base on my calculation, I would say that the answer would be 45*2, 90*1, 30*3, and 18^5. I hope you are satisfied with my answer and feel free to ask for more if you have questions 

The pairs of numbers that multiply to 90 are (1, 90), (2, 45), (3, 30), (5, 18), (6, 15), and (9, 10).

To find two numbers that multiply to equal 90, we can look for pairs of factors of 90.

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.

To determine the pairs of factors that multiply to 90, we can list the pairs:

1 × 90 = 90

2× 45 = 90

3 × 30 = 90

5 × 18 = 90

6 × 15 = 90

9 × 10 = 90

Therefore, the pairs of numbers that multiply to 90 are: (1, 90), (2, 45), (3, 30), (5, 18), (6, 15), and (9, 10).

To learn more on Multiplication click:

brainly.com/question/5992872

#SPJ6

What is the exact distance between the point (-2,-1) and the point (6,8)a)√145 units
b)12.042 units
c)√97
d)6√2

Answers

The exact distance between two points (-2,-1) and (6,8) is = √145 units

= 12.042 units.

What is the distance between two points on a plane?

If two points on a plane is mentioned as (x₁, y₁) and (x₂, y₂), then the distance between them is √[(x₁ - x₂)² + (y₁ - y₂)²] units.

Give, two points are (-2,-1) and (6,8).

Therefore, the distance between them is

= √[(- 2 - 6)² + (- 1 - 8)²] units

= √[(- 8)² + (- 9)²] units

= √(64 + 81) units

= √145 units

= 12.042 units

Learn more about the distance between two points here: brainly.com/question/19759821

#SPJ2
The answer is B. Use distance formula...

d = \sqrt{(6 + 2) {}^(2) + (8 + 1) {}^(2) }

Someone plz help to become brainliest and get points !! :) plz answer truthfully

Answers

Answer:

the answer is D.106.3in^3

Step-by-step explanation:

i know this

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