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3 years ago

On Heiki's trip, the ratio of distance traveled to time is 112 km to 3 h.

Mathematics

1 answer:

allsm [11]3 years ago

6 0

336

112x = 336

112
x3
=336

37.3
x3
= 112

37.3
x9
=336

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Multiply y^2-16/2y . 5y/y-4

alisha [4.7K]

So, first we multiply the fraction by using the formula a/b times c/d= a times c/b times d
=(y^2-16) times 5y/2y(y-4)
Now, we cancel the common factor y
=(y^2-16) times 5/2(y-4)
Now, we factor 5(y^2-16)
We factor (y^2-16) first
y^2-16
Rewrite 16 as 4^2
y^2-4^2
Now, apply the formula x^2-y^2=(x+y)(x-y)
=y^2-4^2=(y+4)(y-4)
=5(y+4)(y-4)
=5(y+4)(y-4)/2(y-4)
Cancel the common factor y-4
=5(y+4)/2
Answer: 5(y+4)/2

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3 years ago

Write a translation rule that maps point D(7,-3) onto point D'(2,5).

Sergio039 [100]

We are given D (7, -3) and D'(2, 5).

SAppy the transformation
D'(x,y) → D(x-5, y+8).
Then
x=7 → x=7-5 = 2
y=-3 → y=-3+8 = 5

Answer: D (x-5, y+8) → D'

6 0

3 years ago

Read 2 more answers

To celebrate the first day of winter, Lin was putting stickers on some of the lockers. There are 100 lockers along one side of h

Digiron [165]

Answer:

Step-by-step explanation:

Answer:

2 lockers have both

Step-by-step explanation:

Here, if we have stickers being placed on the 5th and 7th stickers, how many lockers have both stickers

What this question is simply asking us is to find the places where we have both stickers occurring

We can get this in places where there are multiples of both

We have this at 35th locker , 70th locker

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3 years ago

You and three friends go to a baseball game. You each pay $2 for a drink and x dollars for nachos. Use the Distributive Property

BabaBlast [244]

Answer:

The simplified expression for the total amount the group pays is (6 + 3·x) dollars

Step-by-step explanation:

The given parameters are;

The number of friends that went to the baseball game = 3

The amount each paid for a drink = $2

The amount each paid for nachos = x dollars

Therefore, the amount each spend = $2 + x dollars

The total amount the three friends spend = 3 × ($2 + x dollars)

By distributive property is given as follows;

a × (b + c) = a × b + a × c

a × (b - c) = a × b - a × c

Given that a, b, and c are real numbers

Therefore;

The total amount the three friends spend = 3 × ($2 + x dollars) = 3 × $2 + 3 × x dollars

The total amount the three friends spend = 3 × $2 + 3 × x dollars

The simplified expression for the total amount the group pays = $(6 + 3·x) = (6 + 3·x) dollars.

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3 years ago

Find the altitude of an equilateral triangle whose perimeter is 18

Rainbow [258]

Answer:

3√3 units

Step-by-step explanation:

We are asked to find the altitude of the equilateral triangle whose perimeter is 18 . Firstly let us find the side of the∆.

$\rm \implies a + a + a = 18 \\\\\rm\implies 3a = 18 \\\\\rm\implies a = 6$

Now we know that in a equilateral triangle , the altitude of the triangle with side length a is ,

$\rm\implies Altitude =\dfrac{\sqrt3}{2} a$

Plug in the value of a that is 6 , we will get ,

$\rm\implies Altitude =\dfrac{\sqrt 3}{2} a \\\\\rm\implies Altitude =\dfrac{ \sqrt3}{2}\times 6 \\\\\rm\implies Altitude = \sqrt3 \times 3 \\\\\rm\implies\boxed{ \bf Altitude = 3\sqrt3 \ units }$

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3 years ago