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3 years ago

Solve 14(0.89)x+4.5 =162

2 answers:

6 0

So the first thing to do is to simplify both sides of this equation:
12.46x+4.5=162
Next we shall subtract 4.5 from both sides so:
12.46x+4.5−4.5=162−4.512.46x=157.5
Now that we are done with all those steps now here is the final steps so now we shall divide both sides by 12.46:
12.46x/12.46 = 157.5/12.46
Ok so your final answer shall be:
x=12.640449
I hope this helps you greatly!

bixtya [17]3 years ago

4 0

14(0.89)=12.46

+4.5=16.96

162/16.96=x

x=9.55188679

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Harrizon [31]

Answer:

Blue car: 30.5 / 1.25 =24.4 miles per gallon

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3 years ago

The graph shows two polygons ABCD and A′B′C′D′.

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Answer:

Translate ABCD down 1, then reflect it over the y-axis

and

Reflect ABCD over the y-axis, then translate down 1

Step-by-step explanation:

First of all, the two steps are the same, just in a different order

Second, if you look at the instructions you can see what would happen to the quadrilateral. Reflecting over the y-axis would make the shape flip horizontally (left to right), as shown in the image. This means the points on the left move to the right, and the points on the right move to the left. Top and bottom points stay the same. And the "translation" just means to slide. In both the answers, it says "translate 1 unit down", which just means "move 1 unit down", which is exactly what happens in the image

7 0

3 years ago

Read 2 more answers

In a certain computer, the probability of a memory failure is 0.01, while the probability of a hard disk failure is 0.02. If the

ratelena [41]

Answer:

We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

$P(A \cap B) = P(A) *P(B)$

For this case we have that:

$P(A) *P(B) = 0.01*0.02= 0.0002$

And we see that $0.0002 \neq P(A \cap B)$

So then we can conclude that the two events given are not independent and have a relationship or dependence.

Step-by-step explanation:

For this case we can define the following events:

A= In a certain computer a memory failure

B= In a certain computer a hard disk failure

We have the probability for the two events given on this case:

$P(A) = 0.01 , P(B) = 0.02$

We also know the probability that the memory and the hard drive fail simultaneously given by:

$P(A \cap B) = 0.0014$

And we want to check if the two events are independent.

We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

$P(A \cap B) = P(A) *P(B)$

For this case we have that:

$P(A) *P(B) = 0.01*0.02= 0.0002$

And we see that $0.0002 \neq P(A \cap B)$

So then we can conclude that the two events given are not independent and have a relationship or dependence.

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3 years ago

The ratio of boys to girls in the classroom is 12:25 if there are 120boys how many girls are there

Ann [662]

Call x is the number of girls in the classroom.
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x = 120*25/12
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Answer 250 girsl

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3 years ago

Read 2 more answers

Look at picture y=_ the height of the baseball after 5 seconds is ___ feet

Wittaler [7]

Answer:

y = -2(x -3)² +24
16 feet

Step-by-step explanation:

We expect the equation for y to be quadratic. Since the table is obviously symmetrical about x=3, we can start with the vertex form ...

y = a(x -3)² +b

Filling in the values from the first two table points, we get

For (x, y) = (0, 6):

6 = a(0 -3)² + b ⇒ 9a +b = 6

For (x, y) = (2, 22):

22 = a(2-3)² +b ⇒ a +b = 22

Subtracting the second equation from the first gives ...

(9a +b) -(a +b) = (6) -(22)

8a = -16 . . . . . . collect terms

a = -2 . . . . . . . . divide by 8

The second equation above tells us ...

b = 22 -a = 22 -(-2) = 24

So, our equation for y is ...

y = -2(x -3)² +24

The value of y for x=5 is ...

y = -2(5 -3)² +24 = 16

The height of the ball after 5 seconds is 16 feet.

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3 years ago