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3 years ago

7

A freight train completes its journey of 150 miles 1 hour earlier if its original speed is increased by 5 miles/hours. What’s th

e original speed ?

1 answer:

Agata [3.3K]3 years ago

7 0

The original speed of the train was 25mph.

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Shania is planning a party at her home. She has made 126 chocolate truffles and 84 caramel truffle to give to her guests if ther

Triss [41]

Each person would receive 6 chocolate truffles and 4 caramel truffles because 126÷21=6 and 84÷21=4.

3 0

3 years ago

The sixth grade art students are making a mosaic using tiles in shapes of right triangles. Each tiles has the leg measures of 5.

Drupady [299]

Given:

Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.

There are 150 tiles in the mosaic.

To find:

The area of the mosaic.

Solution:

We know that, the area of a triangle is:

$A=\dfrac{1}{2}\times Base\times height$

So, the area of Each right triangular tile is:

$A=\dfrac{1}{2}\times 5.2\times 6$

$A=\dfrac{1}{2}\times 31.2$

$A=15.6$

There are 150 tiles in the mosaic. So, the area of the mosaic is:

$Area=15.6\times 150$

$Area=2340$

Therefore, the total area of the mosaic is 2340 cm ².

5 0

3 years ago

David earns $11 an hour. He was scheduled to work 35 hours. However, he picked up an additional 7 hour shift. He is paid double

zhenek [66]

You have in total 42 hours so 2 of those hours are double time so you do 40•11 and then add 22•2 (22 is the double time) so you’re answer is $484

7 0

3 years ago

Find the value of the variable.

Nikolay [14]

we are given that

both sides are equal

so, their length must be equal

$HK=\sqrt{(p-1)^2+(5-2)^2}$

$HK=\sqrt{(p-1)^2+9}$

now, we can find other side

$JK=\sqrt{(p-7)^2+(5-2)^2}$

$JK=\sqrt{(p-7)^2+9}$

now, we can set them equal

$HK=JK$

$\sqrt{(p-1)^2+9}=\sqrt{(p-7)^2+9}$

now, we can take square both sides

$(p-1)^2+9=(p-7)^2+9$

now, we can solve for p

$(p-1)^2=(p-7)^2$

$p^2-2p+1=p^2-14p+49$

$-2p+1=-14p+49$

$12p=48$

$p=4$ ..............Answer

4 0

3 years ago

Add the following polynomials, then place the answer in the proper location on the grid. Write your answer in descending powers

attashe74 [19]

Answer:

x⁴ + x³ + 4x² - 5x

Step-by-step explanation:

The polynomials given in the question are:

x⁴ - 3x + 1

4x² - 2x + 8

x³ - 9

We have to add all them

First write all the polynomial in the summation form:

(x⁴ - 3x + 1) + (4x² - 2x + 8) + (x³ - 9)

Open the brackets:

x⁴ - 3x + 1 + 4x² - 2x + 8 + x³ - 9

Group together the similar terms

(x⁴) + (x³) + (4x²) + (-3x -2x) + (1 + 8 - 9)

Finding the sum in brackets:

x⁴ + x³ + 4x² + (-5x) + (0)

x⁴ + x³ + 4x² - 5x

Note that the sum is in descending powers of x

6 0

3 years ago