Hillary used 5 L of a cleaning solution to scrub down 25 M^2 of table tops in the school cafeteria. how many litres of cleaning solution are required to clean a surface with an area of 65 m^2 if this solution is directly proportional?A.10L
B.13L
C.15L
D.25L

Answers

Answer 1
Answer:

Answer is B) 13L.

Explanation:

We can calculate the number of liters of cleaning solution required to clean up a surface with the given area by simple method of proportion.

If 25m^2 area requires 5L of cleaning solution,

then let x bethe number of liters required for cleaning a 65m^2 area.

We can write it as:

25 / 65 = 5 /x

x = (5 x 65) / 25 = 325/25 = 13

So, 13 litres of cleaning solution is required to clean a surface with 65m^2 area.


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Justin bought 6 ribbons for an art project. Each ribbon is 1/4 yard long. How many yards of ribbon did Justin buy?

Answers

To answer this question, Justin has bought 3/2 yards of the ribbon.
There are two ways you could answer this question. You could add it or subtract it. First, I will teach you the way of adding to get your answer. So, from this sentence, Justin has bought 6 ribbon and each was 1/4 yards long. You could add it by doing 1/4+1/4+1/4+1/4+1/4+1/4. This would give you 6/4, which would be 3/2 yards(simplified). (This could also be 1.5 yards..)
The second way was multiplying. It would look like this: 1/4 times 6. (Now, 6, could be represent as 6/1) Now you do 1 time 6 for your numerator and 1 times 4, which would be your denominator. This would also give you 6/4 or 3/2 (simplified) Hope this works!! :)
6 ribbons
1/4 yard long each
4 yards = 4 ribbons
4/4 yards
A: 6/4 yd

What is the equation in slope-intercept form of the line that passes through (-2,17) and (3,-13)?

Answers

The equation in slope-intercept form of the line that passes through (-2,17) and (3,-13) is y = -6x + 5

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have two points:

(-2, 17) and (3, -13)

The equation is:

[y - (-13)] = (-13-17)/(3+2)[x-3]

y + 13 = -6(x - 3)

y = -6x + 18 - 13

y = -6x + 5

Thus, the equation in slope-intercept form of the line that passes through (-2,17) and (3,-13) is y = -6x + 5

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First, you would have to find your slope.  Then you plug your coordinates into the equation to find b.  Your final answer is y= -6x+5.

Identify the percent of change as an increase or a decrease. Then find the percent of change. Round to the nearest tenth of a percent if necessary: 68 miles to 42.5 miles

Answers

42.5/68
=0.625x100
=62.5%

How is the quotient of 8,552 and 16 determined using an area model?Enter your answers in the boxes to complete the equations.


8,552 = 16 = (


+ 16 ) + ( 480 = 16 ) + (


= 16 ) + (8 + 16)


8,552 = 16 =


+ 30+


+


8,552 = 16 =

Answers

Answer:

It is 88

Step-by-step explanation:

It is so because fist you do all the math leading it to be 88.

Final answer:

An area model visualizes the process of solving division. To determine the quotient of 8,552 and 16, draw a rectangle for the dividend (8,552), divide it into parts for the divisor (16), fill in each part until the area is filled, and then add up all parts of the quotient, which will lead you to the result 534.

Explanation:

An area model is a mathematical representation that helps show the product of two numbers in terms of areas. To find the quotient of 8,552 and 16, let's follow some steps:

  1. Draw a rectangle and label the area 8,552 - this will represent our dividend.
  2. Then we separate this rectangle into several parts. The number of these parts will represent our divisor i.e., 16.
  3. Each separate part or subsection represents a part of the final quotient. The area that is equal to 480 will give us 480/16 = 30. Continue filling the areas until the entire area (8,552) is filled.
  4. At the end, sum all parts of the quotient to get the final answer.

So, if you repeat these steps properly, you should find that 8,552 divided by 16 equals 534.

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Who made more choices commission this month? How much did she make? Salesperson A made 11% of $67,530. Salesperson B made 8% of $85,740.

Answers

Answer Step-by-step explanation:

Salesperson~A=11% of~67,530=(11)/(100) *67530=0.11

=0.11*67530=7,428.3

Salesperson~B=8% of~85,740=(8)/(100)*85740= 0.08

=0.08*85740=6,859.2

7,428.3 > 6,859.2

Thus,~Salesperson~A~made~more~commission~than~Salesperson~B.

Isabella has $6,000. She gave her mother $1,800. She donated 1/4 of the remaining amount to a charity. What percent of her money did Isabella donate? *

Answers

Answer:

Step-by-step explanation:

6000-1800 = 4200 divided by 1/4 = 1050

6,000 - 1,800 = 4,200

4,200 / 1/4 (or 25)

she donated 168.0% of her money.