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3 years ago

For the given expression, which whole number (w) will make the expression true? 5/6

Mathematics

1 answer:

Sonja [21]3 years ago

7 0

Answer:

D. 7

Step-by-step explanation:

The question is incomplete. Here is a possible complete question

For the given expression, which whole number (w) will make the expression true? 5/6 < w/6

A. 3

B. 4

C. 5

D. 7

Given the inequality expression:

5/6 < w/6

Cross multiply

5×6 < 6×w

30<6w

Divide both sides by 6

30/6 = 6w/6

5<w

Reciprocate both sides(this will change the sense of the inequality)

1/5>1/w

Cross multiply

w > 5×1

w>5

This shows that the value of w is a value greater than 5 but not 5. According to the option, the only value greater than 5 is 7. Hence the whole number (w) that will make the expression true is 7

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3 years ago

Read 2 more answers

The quadratic function d= -4x+1,100 models a snowboarder's distance, in feet, from the bottom of a hill x seconds after the snow

Fynjy0 [20]

Answer:

16 seconds (Approximately)

Step-by-step explanation:

Given:

The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:

$d=-4x^2+1100$

Final position of the snowboarder is $d=100\ ft$

Now, plugging in 100 for 'd' and solving for 'x', we get:

$100=-4x^2+1100$

Adding -1100 both sides, we get:

$100-1100=-4x^2+1100-1100\\-1000=-4x^2$

Dividing both sides by -4, we get:

$\frac{4x^2}{4}=\frac{1000}{4}\\x^2=250$

Taking square root and neglecting the negative root as time can't be negative. So,

$\sqrt{x^2}=\sqrt{250}\\x=5\sqrt{10}=15.8\ s\approx 16\ s$

Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.

7 0

3 years ago

If the numbers below were ordered from least to greatest, which number could you use to replace the blank? 0.20,2/5 □ , 3/4,8/10

faust18 [17]

1/2 would work for the blank space

because as shown in the image you could relate it to a whole for each one and put it to 100 to figure out what the blank could be

the 0.20 can be converted to 1/5 so that way you can put everything into the 100 group