MATHEMATICS MIDDLE SCHOOL

Greg left work at 4:42 p.m. He had to go to the grocery store, the bank, and the car wash before going home. He got home at 6:17 pm. How long did it take Greg to run his errands?

Answers

Answer 1

Answer:

It took Greg 95 minutes to run his errands.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the liketerms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To find the totaltime Greg spent running errands,

We need to calculate the difference between his departure time from work and his arrival time at home.

First,

We can convert both times to minutes past midnight to make the calculations easier.

So,

4:42 pm = 4 × 60 + 42 = 282 minutes past midnight

6:17 pm = 6 × 60 + 17 = 377 minutes past midnight

To find the time Greg spent runningerrands, we can subtract his departure time from his arrival time:

= 377 - 282

= 95 minutes

Therefore,

It took Greg 95 minutes to run his errands.

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Answer 2

Answer: 5:00-4:42=18 minutes. 18+60+17= 95 which translates to 1 hour and 35 minutes

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What are the factors between 30 and 50

Answers

Factors are all the numbers that divide into the given number.
The factors of 30 are: 1,2,3,5,6,10,15,20
The factors of 50 are: 1,2,5,10,25,50
So if you are find the common factors of both 30 and 50, identify what factors are the same: 1,2,5,10

Factors of 30:1,2,3,5,6,10,15,20,30
Factors of 50:1,2,5,10,25,50
Common factors of 30 and 50 are:1,2,5,10

I don't get area and the distributive property

Answers

area is just the length multiplied by the width
and distributive property is multiplying the number outside of the brackets with the numbers inside the brackets
like this
3(5+4)
u would do 3x5=15
and then 3x4=12
which is 15+12=27

what about area and distributive property? example question maybe?

What plus what equals 800 in three different ways

Answers

The given expression are just three examples of the many possiblecombinations that can add up to 800.

To find three different ways in which two numbers can be added to equal 800, we can explore different combinations. Here are three examples:

1. Combination 1:

600 + 200 = 800

In this combination, the numbers 600 and 200 are added together to equal 800.

2. Combination 2:

400 + 400 = 800

In this combination, the numbers 400 and 400 are added together to equal 800.

3. Combination 3:

350 + 450 = 800

In this combination, the numbers 350 and 450 are added together to equal 800.

The key is to find two numbers whose sum equals 800. You can experiment with different pairs of numbers and add them together to find other valid combinations.

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There are 800 different ways to do this.

Here are some:

800 + 0 = 800
700 + 100 = 800
600 + 200 = 800
500 + 300 = 800
400 + 400 = 800
799 + 1 = 800
798 + 2 = 800

And so on.

Hope I Helped!!!

9. A person stands at the window of a building so that his eyes are 12.6 m above the level ground. Anobject is on the ground 58.5 m away from the building on a line directly beneath the person. Compute

the angle of depression of the person's line of sight to the object on the ground.

Answers

The angle of depression of the person's line of sight to the object on the ground is 12.15°.

The information forms a right angle triangle. The person eyes above the ground is the opposite side of the triangle. The object distance from the building in line of the sight is the adjacent side of the right angle triangle.

Therefore,

using trigonometric ratio,

tan Ф = opposite /adjacent

tan Ф = 12.6 / 58.5

tan Ф = 0.21538461538

Ф = tan⁻¹ 0.21538461538

Ф = 12.1549416972

Ф = 12.15°

angle of depression ≈ 12.15°

Answer:

$\theta = 12.16^0.$

Step-by-step explanation:

Given,

Height = 12.6 m

Object distance from the person = 58.5 m

Angle of depression

$tan \theta = (P)/(B)$

$tan \theta = (12.6)/(58.5)$

$tan \theta = 0.2154$

$\theta = 12.16^0$

Hence, angle of depression is equal to $\theta = 12.16^0.$

milton purchases a 5 gallon aquarium for his bedroom.to fill the aquarium with water, he uses a container with capacity of 1 quart.how many times will milton fill and empty the container before the aquarium is full?

Answers

First, you would need to know that 4 quarts is in a gallon.
5 times 4 is 20 quarts.
Milton will need to fill and empty the container 20 times.

The volume of Olivia's rectangular lunchbox is 240 cubic inches. The lunchbox has a height of 3 inches, and its length is 2 inches more than its width. How wide is Olivia's lunchbox?

Answers

Volumn = Height*Width*Length
Width*(Width+2)=Volumn/Height=240/3=80
Width^2 +2Width-80=0
(Width-8)(Width+10)=0
Width>0 -> Width+10>0
-> Width-8=0 -> Width=8 inches

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