MATHEMATICS MIDDLE SCHOOL

I’m If Linda age is decreased by 36, the result is twice Linda’s age. how old is linda?

Answers

Answer 1

Answer:

Answer:

x=lindas age

3 times lindas age (3 time x or 3x) is decreased by 36 (-36), the result (=) is twice lindas age (2 times x or 2x)

now we have

3x-36=2x

subtract 2x

x-36=0

add 36

x=36

age=36

Step-by-step explanation:

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Suppose she cut the cake into 8 equal pieces and 6 people are all the pieces .Explain how they could have divided the pieces so that everyone ate the same amount of cake.
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The volume of a cylinder is 144π in^3 and the radius is 4 in what is the hight

Marissa researched the cost to have custom T-shirts printed by several local and online vendors. She found that each store’s charge for the job could be modeled by a linear function that combined a flat charge for artwork with a per T-shirt rate. Marissa plotted the functions on a coordinate grid and found that two of the functions produced lines that had the same y-intercept. How should Marissa interpret this result?A.Those two vendors charge the same rate per shirt.
B.Those two vendors charge the same flat rate for artwork.
C.Those two vendors will have the same total cost to produce one shirt.
D.Those two vendors will charge the same total cost for any size job.

Answers

The correct answer is B. Those two vendors charge the same flat rate for artwork.

This is because the slope represents the rate of change of the function, or the rate per shirt, in this case. The y-intercept represents the flat rate for artwork, which can also be modeled as the cost of "0" shirts. This is the starting cost that will then be added to the rate that will change according to the number of t-shirts you buy.

Despite the same y-intercept, the total cost can change if the slope is different (this represents the rate per t-shirt) even if the same number of shirts are ordered (this eliminates options C and D).

Hope this helps!

Answer:

Step-by-step explanation:

because the slope represented the rate of change of the function

If a cone-shaped vase can hold 45 cubic centimeters of water and has a radius of 2 centimeters, what is the height of the vase? Use 3.14 for pi. Round your answer to the nearest hundredth.

Answers

Answer:

3.58

Step-by-step explanation:

45cm3= 2 squared x height x 3.14

So you take 45 and divide it by 2 squared which is 4 and 3.14. Then you would get 3.582 and round it to 3.58

Answer:

13.14

Step-by-step explanation:

v= 1/3 pi r^2 h

45 = 1/3 (3.14) (4) h

45 = 1/3 (12.56) h

45 = 1/3 12.56/ 4 = 4 h/4

h = 3.14

45 = 1/3 (12.56) (3.14)

45 = 1/3 (39.44)

45 = 39.44/3 = 13.14

In the figure ABC and XBY are isosceles triangles. AC=6 cm. And XY=4 cm. Find the area of the shaded region.

Answers

Area of the triangle is expressed by the product of the base and the height divided by two. This is from the idea that a parallelogram having an area of length times width can be divided yielding to two triangles.

Area of shaded region = Area of triangle ABC - Area of triangle XBY
Area of triangle ABC = (6) (6) / 2 = 18 cm^2
Area of triangle XBY = (4) (4) / 2 = 8 cm^2
Area of shaded region = 18 - 8 = 10 cm^2

8 meters increased by 25% is how many meters.

Answers

First find 25% of 8
multiply 25/100 or 0.25 by 8. you get 2. This is the same as dividing 8 by 4 (or
8 x 1/4).
Then add that 25%, which is 2, to 8 meters and you get 10 meters
easy peasy :)

hope this helps

Since 25% is 1/4 of 100%, then you do 8/4 and you get 2 and then you do 2 + 8 = 10.

What is the value of y ?
6 (5+3) = 6 X 5+6 X y

Answers

I have a strong feeling that those big X's means multiply. Right? :3

6(5+3)=(6)(5)+6y
30 + 18 = 30 + 6y
48 = 30 + 6y
-30 -30
----------------------------
18 = 6y
/6 /6

y = 3

Describe how to model 2-digit by 2-digit multiplication using an area model ANSWER NOW FOR 20 POINTS

Answers

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Properties of Multiplication and Division and Problem Solving with Units of 2–5 and 10. Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10Multi-Digit Whole Number and Decimal Fraction Operations.

Answer:

The steps are shown below:

Step-by-step explanation:

We can draw the area model for 2-digit by 2-digit multiplication by using the following steps:

Step 1: First write the multiplicands in expanded form.

For example: 26 as 20 and 6, and 36 as 30 and 6.

Step 2: Now, Draw a 2 × 2 grid, and write the terms of one of the multiplicands on the top of the grid. One on the top of each cell.

Step 3: Write the terms of the other multiplicand on the left of grid.

Step 4: Write the product of ones and tens in respective cell.

For example: 26×36

20 6

30| 600 180