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MakcuM [25]
3 years ago
11

The equation d=4 -1/15t represents your distance from home,d, for each minute you walk,t. If you graphed this equation, determin

e whether you are walking toward or away from home and explain

Mathematics
1 answer:
Readme [11.4K]3 years ago
3 0

we have

d=4 -\frac{1}{15}t

using a graph tool

see the attached figure

For t=0 d=4 -------> the y-intercept

that means that at the time t=0 the house was four units away.

For t=60 min  d=0 -------> x-intercept

that means he was already at home at the time t=60 minutes.

therefore

the graph of this equation represents the walk towards the house

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When measuring weight 6 small dogs are approximately equal to 9 large cats.
Zolol [24]

Answer:

See below

Step-by-step explanation:

Equation 1:

Step 1:

6 : 9 = x : 54      Ratio

Step 2:

9x = 324     Multiply

Step 3:

36 small dogs       Divide

Equation 2:

Step 1:

6 : 9 = x : 12       Ratio

Step 2:

9x = 72     Multiply

Step 3:

8 small dogs   Divide

First Answer:

36 small dogs

Second Answer:

8 small dogs

Hope This Helps :)

7 0
4 years ago
1. What is the approximate area of a circle with a diameter of 20 inches?
ad-work [718]

Answer:

1. 100\pi

2. 27 cm^{3}

3. 30

Step-by-step explanation:

Area = \pir^{2}

       = \pi x 10x^{2}

       = 100\pi

Volume = l x w x h

             = 3 x 3 x 3

             = 27

7 0
3 years ago
The perimeter of a rectangle is 72 cm. The length is 3 more than twice the width What
solmaris [256]
<h3><u>Solution</u></h3>

<u>Given </u><u>:</u><u>-</u>

  • Perimeter of rectangle = 72 cm
  • The length is 3 more than twice the width.

<u>F</u><u>i</u><u>n</u><u>d</u><u> </u><u>:</u><u>-</u>

  • Dimensions of rectangle
<h3 /><h3><u>Explantion</u></h3>

<u>Using </u><u>Formula</u>

\boxed{\underline{\tt{\red{\:(perimeter_{rectang}\:=\:2\times (Length+Width)}}}}

<u>Let,</u>

  • Length of Rectangle = x cm
  • Breadth of Rectangle = y cm

<u>According</u><u> to</u><u> question</u><u>,</u>

==> perimeter of Rectangle = 72

==> 2(x+y) = 72

==> x + y = 72/2

==> x + y = 36_________________(1)

<u>Again,</u>

==> x = 2y + 3

==> x - 2y = 3__________________(2)

<u>Subtract</u><u> </u><u>equ(</u><u>1</u><u>)</u><u> </u><u>&</u><u> </u><u>equ(</u><u>2</u><u>)</u>

==> y + 2y = 36 - 3

==> 3y = 33

==> y = 33/3

==> y = 11

<u>keep </u><u>in </u><u>equ(</u><u>1</u><u>)</u>

==> x - 2×11 = 3

==> x = 3 + 22

==> x = 25

<h3><u>Hence</u></h3>

  • <u>Length</u><u> of</u><u> </u><u>Rectangle</u><u> </u><u>=</u><u> </u><u>2</u><u>5</u><u> </u><u>cm</u>
  • <u>Width </u><u>of </u><u>Rectangle</u><u> </u><u>=</u><u> </u><u>1</u><u>1</u><u> </u><u>cm</u>

<h3><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u></h3>

<h3 />

7 0
3 years ago
Suatu jenis roti memerlukan 150 gram tepung dan 50 gram mentega. Roti jenis lain memerlukan 75 gram tepung dan 75 gram mentega,
Katena32 [7]
Let the one type of the bread be bread A
The second type of the bread be bread B

Let the flour be 'f' and the butter be 'b'

We need 150f + 50b for bread A and 75f + 75b for bread B

We can compare the amount of flour and bread needed for each bread and write them as ratio

FLOUR

Bread A : Bread B
150 : 75
2 : 1

We have a total of 2250gr of flour, and this amount is to be divided into the ratio of 2 parts : 1 part. There is a total of 3 parts. 

2250 ÷ 3 = 750 gr for one part then multiply back into the ratio to get

Bread A : Bread B = (2×750) : (1×750) = 1500 : 750


BUTTER

Bread A : Bread B = 50 : 75 = 2 : 3

The amount of butter available, 1250 gr is to be divided into 2 parts : 3 parts.
There are 5 parts in total

1250 ÷ 5 = 250 gr for one part, then multiply this back into the ratio 

Bread A: Bread B = (2×250) : (3×250) = 500 : 750

Hence, for bread A we need 1500 gr of flour and 500 gr of butter, and for bread B, we need 750 gr of flour and 750 gr of butter.


3 0
3 years ago
Read 2 more answers
800 is 10 times as much as
Anon25 [30]
80 because 800= 10 x 8
3 0
3 years ago
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