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Diano4ka-milaya [45]
3 years ago
14

amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40

minutes in the fourth week. billy exercised for 5 minutes every day in the first week, 10 minutes in the second week, 20 minutes in the third week, and 40 minutes in the fourth week. which statement best describes the methods used by amanda and billy to increase the time they spent exercising? a ) amanda's method is linear because the number of minutes increased by an equal number every week. b) billy's method is linear because the number of minutes increased by an equal factor every week. c) both billy's and amanda's methods are exponential because the number of minutes increased by an equal factor every week. d) both billy's and amanda's methods are exponential because the number of minutes increased by an equal number every week.
Mathematics
1 answer:
erastova [34]3 years ago
6 0
Amanda in increasing her time exercising each week by a constants amount which means her method is linear so the answer is a
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1. 3x+75=165
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madreJ [45]

Answer:

2. n = 11

4. g = -2

6. t = 21

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Step-by-step explanation:

2. 63  = -3(1 - 2n)

Dividing both the side by negative 3 we get

-21=1-2n\\2n=1+21\\2n=22\\n=\frac{22}{2} \\\therefore n=11

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First we will open the bracket by distributive property A( B +C) = AB + AC

-g+2\times 3 + 2\times g = -4\times g + -4\times 1\\-g+6+ 2g=-4g-4\\\textrm{we will take all the g term the left side and the constant to the right side}\\4g-g+2g=-6-4\\5g=-10\\g=\frac{-10}{5}\\\therefore g=-2

6.-3(t +5 ) + (4t + 2) = 8

Using distributive property A( B +C) = AB + AC we get

-3\times t + -3\times 5 + 4t + 2=8\\-3t-15+ 4t + 2=8\\t=8+15-2\\t=21\\\therefore t=21\\

8. -8 - n = -3(2n -4)

Using distributive property A( B +C) = AB + AC we get

-8 - n = -3\times 2n - -3\times4\\-8-n=-6n+12\\\textrm{all the n terms to the left inside and the constant of the right-hand side}\\6n-n=8+12\\5n=20\\n=\frac{20}{5}\\ \therefore n= 4

10. -4( 2 - y) + 3y = 3(y - 4)

Using distributive property A( B +C) = AB + AC we get

-4\times 2 --4\times y + 3y = 3\times y -3\times 4\\-8+4y+3y =3y-12\\\textrm{all the y terms to the left side and the constant to the right side}\\4y+3y-3y=-12+8\\4y=-4\\y=\frac{-4}{4}\\ \therefore y=-1

7 0
3 years ago
Hi help me please, I can't seem to figure this one out​
Nastasia [14]

Answer:

x= 2.73cm

<u>1cm : 0.6828 = 4cm : 2.73cm</u>

For the same angle we just work out 1cm first.

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6.724 + b^2 = 10

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Step-by-step explanation:

Below shows why we must convert to mm from cm

a^2+ b^2= c^2

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7 0
3 years ago
Katherine v
maks197457 [2]

Answer:

13/102

Step-by-step explanation:

In a standard deck of 52 cards, there are 13 black spades, 13 black clubs, 13 red diamonds and 13 red hearts. There are 26 <u>black </u>cards in the deck of 52 cards.

Probability of drawing a black card = 26/52 = 1/2

Suppose we drew the black card. There are now <u>only 51</u> cards left in the deck. ALL of the hearts are still there - <u>13</u> of them.

Probability of drawing a heart from this deck of 51  = 13/51

In general, for the probability of event A <u>and then</u> event B, we multiply.

1/2 x 13/51 = 13/102

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