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RUDIKE [14]
3 years ago
6

before the rain began,the water in a lake was 268 inches deep.the rain began and after four hours of rain,the lake was 274 inche

s deep.the rain continued for one more hour at the same intensity.what was the depth of the lake when the rain stopped?
Mathematics
1 answer:
klio [65]3 years ago
4 0
\frac{274-268}{4}=1.5
\\1.5+274=275.5

The answer is 275.5.
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The length of a rectangle is 6 cm less than twice its width. Find the dimensions of the rectangle if its areais 108cm
valentinak56 [21]

L=2w-6

area = L x W

108=(2w-6)w

108 = 2w^2-6w

2w^2-6w-108 = 0

2(w^2-3w-54)=0

2(w-9)(w+6) = 0

w=9

L= 2(9)-6 = 12

12*9 = 108

3 0
3 years ago
A national survey asked 1,501 randomly selected employed adults how many hours they work per week. Based on the collected data,
Sveta_85 [38]

Answer:

C

Step-by-step explanation:

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4 0
3 years ago
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Which of these describes the equation –18x + 9y = –416?
Minchanka [31]

Answer:

We conclude the equation is linear because it can be rewritten in the form y = mx + b.

Hence, option D is correct.

Step-by-step explanation:

The slope-intercept form of the line or linear equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

<u>Important Tip:</u>

The graph of a linear equation is always a straight line.

Convert the given equation in the slope-intercept form

18x + 9y = -416

subtract 18x from both sides

18x+9y-18x = - 18x-416

simplify

9y = -18x - 416

divide both sides by 9

y=-2x-\frac{416}{9}

Now, comparing the equation y=-2x-\frac{416}{9} with a slop-intercept form of linear equation

  • The slope m = -2
  • The y-intercept b = -416/9

Therefore, we conclude the equation is linear because it can be rewritten in the form y = mx + b.

From the attached graph, is also clear that the graph of the equation y=-2x-\frac{416}{9} is a straight line.

Hence, option D is correct.

3 0
3 years ago
Read 2 more answers
in a roulette wheel there are 38 numbered slots: 36 slots are the numbers 1 through 36 and the remaining two slots are 0 and 00.
frez [133]

roulette consists in placing a small ball in a roulette wheel, Probability (Roulette ball not landing on red) = 10 / 19

The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes

Given:

Number of total slots = 38

Number of red slots = 18

Number of black slots = 18

Number of green slots = 2

Find:

Probability (Roulette ball not landing on red)

Computation:

Probability (Roulette ball not landing on red) = 1 - Probability (Roulette ball landing on red)

Probability (Roulette ball not landing on red) = 1 - (18 / 38)

Probability (Roulette ball not landing on red) = 20 / 38

Probability (Roulette ball not landing on red) = 10 / 19

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7 0
1 year ago
(3x - 2)^5 =(3x - 2)^2
andreyandreev [35.5K]

Answer:

x=3/2,1

Step-by-step explanation:Given

(3x-2)ˆ5-(3x-2)ˆ2=0

(3x-2)ˆ3(3x-2)ˆ2-(3x-2)ˆ2=0

(3x-2)ˆ2{(3x-2)ˆ3-1}=0

(3x-2)ˆ2=0 Or (3x-2)ˆ3-1=0

3x-2=0 Or(3x-2)ˆ3=1

x=3/2 Or 3x-2=1, x=1

4 0
3 years ago
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