Alison has twice as many video games as Kyle. Maurice has 5 more video games than Alison. The total number of video games is less than 40. a. Write an inequality to represent this situation.b. Solve the inequality to determine the greatest number of video games Maurice could have.

Answers

Answer 1
Answer: So,

a.
Let
1. Alison be "a"
2. Kyle be "k"
3. Maurice be "m"

a = 2k
m = a + 5
m = 2k + 5

40 > 5k + 5

35 > 5k
7 > k
The relationship between k and m:
m = 2k + 5
19 > m 
MAURICE CANNOT HAVE MORE THAN 19 VIDEO GAMES.

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What transformation of Figure 1 results in Figure 2.?Select from the drop-down menu to correctly complete the statement.

A of Figure 1 results in Figure 2.

Answers

The transformation of Figure 1 results in Figure 2 is Rotation.

What is Transformation?

A transformation is a broad phrase covering four distinct methods of changing the shape and/or position of a point, line, or geometric figure. The Pre-Image is the original shape of the object, and the Image during the transformation is the final shape and location of the object.

Transformations in geometry are categorized into three;

  • Translation
  • Rotation
  • Reflection
  • Scaling/Dilation

As we translate, we move a figure in any direction.

When we flip a figure over a line, we call this reflection.

When we rotate a figure a given amount around a point, we call this rotation.

As we dilate, we enlarge or contract a figure.

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Answer: rotation

Step-by-step explanation:

a rotation about 90degrees

What is the volume of a rectangular prism with length 90 cm, height of 70 cm, and the width of 40 cm?

Answers

volume=Legnth times width times height
legnth=90
height=70
width=40
volume=90 times 40 times 70
volume=3600 times 70
volume=252000


answer is v=252,000 cm^3
V= whl

252000
40 x 70 x 90 = 252000

Round 949 to the nearest ten and hundred pls thanks

Answers

Answer:

950- to the nearest ten

900- to the nearest hundred

Step-by-step explanation:

When rounding, the number that we look at is the number to the right of what we are rounding to.  When rounding to the nearest ten we look at the number to the right which is in the one's position.  In this case that is a 9.  In rounding, if the number we are looking at is 1-4 we round down an if the number we are looking at is 5-9 we round up.  Since the number is a 9 we round up and the nearest 10 above 49 is 50 so 949 rounded to the nearest 10 is 950.  We will repeat this same process when rounding to the hundred.  In this case the number to the right of the hundred is the ten which is a 4.  since it is between 1-4 we will round down.  the nearest hundred below 949 is 900 so 949 rounded to the nearest hundred is 900.

I hope this helps and please don't hesitate to ask if there is anything still unclear!

Which equation can be used to find the volume of this solid?

Answers

Answer:

Option A, V = 3 * 5 * 4

Step-by-step explanation:

Volume of a Cube formula:  V = w*h*l

Step 1:  Plug in

V = whl

V = (5)(4)(3)

Answer:  Option A, V = 3 * 5 * 4

V= 3 x 5 x 4
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an ice cream factory makes 190 quarts of ice cream in 5 hours how many quarts could be made in 48 hours?what was the rate per day

Answers

190/5= rate per hour 38

38 (rate per hour)*48 (given hours)= 1824 quarts

38(rate per hour)* 24 (hours in a day)= 912 quarts per day

or

1824(quarts made in two days (48 hours))/2=912 quarts per day

A rectangular flower bed measures 10 m and by 6m. It has a path 2 m wide around it. Find the area of the path.

Answers

The area of the path is 80 square meters.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

To find the area of the path,

We need to subtract the area of the inner rectangle from the area of the outer rectangle.

So,

The outerrectangle has dimensions 14m by 10m (adding 2m to each side of the flower bed), so its area is:

A outer = 14m x 10m = 140 m²

Now,

The innerrectangle has dimensions 10m by 6m (the original dimensions of the flower bed), so its area is.

A inner = 10m x 6m = 60 m²

Now,

The area of the path.

A path = A outer - A inner

           = 140 m² - 60 m²

           = 80 m²

Thus,

The area of the path is 80 square meters.

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the small rectangular area=6*10=60
the big rectangular area= 140
diference = 80

80 mt2