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Anestetic [448]
3 years ago
5

A balloon is released from the top of a platform that is 50 meters tall. The balloon rises at the rate of 4 meters per second. w

rite the rule for x in terms of y.
How high is the balloon after 20 seconds?

How high is the balloon after 8 seconds?
Mathematics
1 answer:
Svetlanka [38]3 years ago
6 0

Answer:

y= 50 + 4x, 130 meters and 82 meters.

Step-by-step explanation:

Given, a balloon is released from a 50 meter tall building and rises at the rate of 4 meters per second. So, the equation will be y = 50 + 4x,  where x is time in seconds.  

So, after 20 seconds, the balloon will be at  

y = 50 + 4x= 50 + 4 X 20 = 50+ 80= 130 meters. Here, x = 20 seconds.  

For, x = 8 seconds,  

y = 50 + 4x= 50+4 X 8 = 50+32= 82 meters. So the balloon will be at 130 meters and 82 meters respectively.

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Mrs. Daly's reading classes were surveyed about their reading preferences. The data is summarized in the table below.
andriy [413]

Answer:

Required probability is 0.19

Step-by-step explanation:

The two-way table for the given data is,

                              Fiction                Non-Fiction                Total

9th grade                35                            8                             43

10th grade               52                            12                           64

Total                        87                            20                           107

It is required to find the probability of the students who prefer to read non-fiction novels, given that they are in 9th grade.

That is, to find the conditional probability P(Non-fiction| 9th\ grade).

Now, P(A|B)=\dfrac{P(A\bigcap B)}{P(B)}

So, we get,

P(Non-fiction| 9th\ grade)=\dfrac{(Non-fiction\bigcap 9th\ grade)}{P(9th\ grade)}\\\\P(Non-fiction| 9th\ grade)=\dfrac{8}{43}\\\\P(Non-fiction| 9th\ grade)=0.19

<h3>Thus, the required probability is 0.19.</h3>
5 0
3 years ago
PLSSS HURRY ILL GIVE YOU A BRAINLYEST
8090 [49]

Answer:

36 inches

Step-by-step explanation:

lets think of it as a ratio,

80:w

20:9

so we want 20 to get to 80

and 9 to get to w right?

so if we just move the smaller rectangle to the corner, then 20*4=80 right?

and if we do that, we do it to 9 as well, 9*4=36

w=36

6 0
2 years ago
The area of rectangular field is (49m2-42m+9).Find the dimensions of the field
Drupady [299]

Answer:

The dimensions are (7m-3) by (7m-3)

Step-by-step explanation:

We have the area of the rectangular field to be:

49 {m}^{2}  - 42m + 9

We need to factorize this expression.

Let us rewrite to obtain:

{(7m)}^{2}  - 2(7 \times 3)m +  {3}^{2}

We can easily see that the expression is actually a perfect square trinomial.

This gives us:

(7m - 3)^{2}

Or

(7m - 3)(7m - 3)

6 0
3 years ago
This question worth 38 points to whoever answers it :)
Paraphin [41]
Volumeprism=volumecube times number of cubes
vprism/vcube=number of cubes

vprism=12*5*4.25=255
vcube=side^3=(1/4)^3=1/64

vprism/vcube=255/(1/64)=255*64=16320 cubes

4 0
3 years ago
Read 2 more answers
Help me decrease 25 by 30%
Marysya12 [62]

Step-by-step explanation:

Percentage decrease = 30% × 25

New value = 25 - Percentage decreaseNew value =

25 - Percentage decrease =

25 - (30% × 25) =

25 - 30% × 25 =

(1 - 30%) × 25 =

(100% - 30%) × 25 =

70% × 25 =

70 ÷ 100 × 25 =

70 × 25 ÷ 100 =

1,750 ÷ 100 =

17.5

Absolute change (actual difference) =

New value - 25 =

17.5 - 25 =

- 7.5

8 0
3 years ago
Read 2 more answers
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