How many positive integers less than 1,000 do not have 7 as any digit?

Answers

Answer 1

Answer: Calculate the numbers that do have 7 in it.
1 to 10 :1
70 to 79:10
1 to 100:1×9+10=19
700 to 799:100
1 to 999:8×19+100=252

intergers with no 7=999-252=747

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Solve for x, show your work: 18/x^2 - 9/x = -1

How can i simplify √320x³

Answers

Answer:

8x * sqrt(5x)

Step-by-step explanation:

Factor 320 into its prime factors: (2^6) * 5

To simplify sqrt we extract factors which are squares and the rest remain inside the root: (2^6) will be extracted (2^6=64) and 5 will remain inside

Take sqrt of factors being extracted: sqrt64= 8

Now it looks like this: 8 * sqrt(5x^3)

SQRT(x^3) is the same as x * SQRT(x)

Therefore, sqrt (320x^3)= 8x*sqrt(5x)

Why is 6/8 greatest than 5/8 but less than 7/8

Answers

Because when the denominator is the same for all the numbers. You just think of it as counting whole numbers, and when you do that you find that 6 is greater than 5, and less than 7.

Three times the sum of a number n and 5 is at least 17.

Answers

3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.

What is an Inequality?

The relationship between two expressions or values that are not equal to each other is called inequality.

Given that three times, the sum of a number n and 5 is at least 17.

According to the question, the expression will be = 3(n+5)≥17

Hence, 3(n+5)≥17 is the expression for three times the sum of a number n and 5 is at least 17.

For more references on inequality, click;

brainly.com/question/28823603

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Answer:

3(n+5)≥17

Step-by-step explanation:

5 students participated in a push-up competition.The amount of push-ups each student completed is listed: 12, 7, 10, 11,5
What was the mean number of push-ups?

Answers

Answer: 9

Step-by-step explanation:

Formula : Mean = $\frac{\text{Sum of observations}}{\text{Number of observaions}}$

Given: 5 students participated in a push-up competition.

The amount of push-ups each student completed is listed: 12, 7, 10, 11,5.

Mean = $(12+7+10+77+5)/(5)$

$=(45)/(5)=9$

Hence, the mean number of push-ups = 9

(c) Express the diagonal of a rectangle, D, in terms of its width, w, if the area of the rectangle is 13 square feet. D(w) =

Answers

we are asked to express the diagonal of a rectangle in terms of the width in which the area of the polygon is equal to 13 square feet. The area of teh rectangle is equal to length times width. That is 13 = lw; diagonal using pythagorean theorem is sqrt ( l2 + w2). Thus d = sqrt ( (13/w)2 + w2) = sqrt ( (169/w2 + w2) = sqrt ( (169 + w4)/w2) = 1/w sqrt (169 + w4)

Answer:

Hence, the diagonal of rectangle in terms of width(w) is:

$D(w)=(√(169+w^4))/(w)$