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3 years ago

12

The distance that an automobile travels varies directly as the time it travels. If the car travels 280 miles in 7 hours, how far

will it travel in 12 hours?
answers could be either
1960
480
84
25

1 answer:

rusak2 [61]3 years ago

8 0

280 divided by 7 equals 40 and forty times 12 equals 480 so the answer is 480

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Katie has a job planting shrubs beside the highway. She needs to plant 500 shrubs in a week. So far, She has planted this many:

ladessa [460]

ANSWER: Katie Must Plant 133 Shrubs On Friday.

First, We Know That Katie Needs To Plant 500 Shrubs In A Week. So Then, We Add Up 104+87+92+84 And When We Add Those Numbers Up, We Get How Many Shrubs She Has Planted On Monday Tuesday Wednesday And Thursday. To Find Out How Many Plants She Needs To Plant On Friday, Subtract 367 From 500 And You Get 133.

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3 years ago

How many times larger is 4 x 10 12 than 8 x 10 7?

USPshnik [31]

Answer:

50000 times

Step-by-step explanation:

Since these are given in scientific notation, we can convert them to have the same powers of 10. Converting 4*10^12 to something times 10^7, we can get 4*10^5*10^7. So we divide 400000 by 8 to see how many times larger it is than 8. So we get 50000 times as our answer.

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3 years ago

Name the integer

Ivenika [448]

Answer:

1. Gained 9 kilos = $+9$

2. 32 steps backward = $-32$

3. Decreased by P5 = $-P5$

Step-by-step explanation:

Natural numbers refer to numbers that are used for counting.

Whole numbers include 0 and natural numbers.

An integer is a collection of whole numbers and their negatives.

1. Gained 9 kilos = $+9$

(Gained is denoted by + )

2. 32 steps backward = $-32$

(backward is denoted by - )

3. Decreased by P5 = $-P5$

(decrease is denoted by - )

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2 years ago

9(p-4)<br> 6<br> P + 2<br> 2<br> solve the equation

Karolina [17]

Answer:

6p^2-24p+22

Step-by-step explanation:

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3 years ago

Dilate the the triangle, scale factor = 3 (positive 3, ignore the

HACTEHA [7]

Answer:

The rule of dilation is $P'(x,y) = 3\cdot P(x,y)$ .

The vertices of the dilated triangle are $A'(x,y) = (-21, -18)$ , $B'(x,y) = (-15,-10)$ and $C'(x,y) = (-3,-15)$ , respectively.

Step-by-step explanation:

From Linear Algebra, we define the dilation by the following definition:

$P'(x,y) = O(x,y) + k\cdot[P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation, dimensionless.

$k$ - Scale factor, dimensionless.

$P(x,y)$ - Original point, dimensionless.

$P'(x,y)$ - Dilated point, dimensionless.

If we know that $O(x,y) = (0,0)$ , $k = 3$ , $A(x,y) = (-7,-6)$ , $B(x,y) = (-5,-2)$ and $C(x,y) =(-1,-5)$ , then dilated points of triangle ABC are, respectively:

$A'(x,y) = O(x,y) + k\cdot [A(x,y)-O(x,y)]$ (2)

$A'(x,y) = (0,0) + 3\cdot [(-7,-6)-(0,0)]$

$A'(x,y) = (-21, -18)$

$B'(x,y) = O(x,y) + k\cdot [B(x,y)-O(x,y)]$ (3)

$B'(x,y) = (0,0) + 3\cdot [(-5,-2)-(0,0)]$

$B'(x,y) = (-15,-10)$

$C'(x,y) = O(x,y) + k\cdot [C(x,y)-O(x,y)]$ (4)

$C'(x,y) = (0,0) +3\cdot [(-1,-5)-(0,0)]$

$C'(x,y) = (-3,-15)$

The rule of dilation is:

$P'(x,y) = 3\cdot P(x,y)$ (5)

The vertices of the dilated triangle are $A'(x,y) = (-21, -18)$ , $B'(x,y) = (-15,-10)$ and $C'(x,y) = (-3,-15)$ , respectively.

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3 years ago