Ask question

Ask question

All categories

3 years ago

6

An airplane is loaded with cargo and ready to take off. Before it departs, an unknown number

1 answer:

Leto [7]3 years ago

8 0

Answer:

b ≤ 50

Step-by-step explanation:

Since no more than 400 pounds of b number of 8 pound boxes can be taken off to ensure that the plane is in balance, this can be represented by the inequality:

8b ≤ 400

b ≤ 400/8

b ≤ 50

This means that a maximum number of 50 8 pounds boxes can be taken off the plane for a 600 pound crate to be put on ensuring that the plane is in balance.

You might be interested in

Can someone help me figure out how to graph f(x)=5x-45

tatuchka [14]

Well since the exponent is 1 then the function given is a linear function so y=5x-45 will be a line with a slope of 5 and a y-intercept at (0,-45)

4 0

3 years ago

Zev has 36 pencils and 45 erasers. He wants to use all of the pencils and erasers to make identical packages for his friends. Wh

soldier1979 [14.2K]

Answer:

Step-by-step

If you don't want to have anything left over, then the highest common factor is

36: 2 * 2 * 3 * 3

45: 3 * 3 * 5

The highest common factor is 9.

So he can make nine packages with

4 pencils in each one and

5 erasers in each package.

3 0

3 years ago

A fence is made from 98 2-inch wide boards placed next to each other. How wide is the fence in yards? (1 yd = 36 inches)

kifflom [539]

So the total width across is 98*2=196 inches in width!
if 1 yard is 36 inches
196 inches will be----> 196/36=5.44 yards

5 0

4 years ago

Find g(1) if g(x) = x^2 + 1.

Natasha_Volkova [10]

Answer:

2

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers

Given the statement 11^(n -6) is divisible by 5 for every positive integer n. What must be shown in the induction step?

Lilit [14]

Answer:

Proved

Step-by-step explanation:

The given data is:

$11^n - 6$ not $11^{n - 6$

Required

Prove by induction that it is divisible by 5

Assume $n = k$

So, we have:

$11^k - 6 = 5p$ where p is a positive digit

Rewrite as:

$11^k = 5p + 6$

To solve further, we have to prove that $11^k - 6$ is true for $n=k+1$

So, we have:

$11^{k+1} - 6$

$11^{k+1} - 6 = 11^k * 11 - 6$

Add 0

$11^{k+1} - 6 = 11^k * 11 - 6 + 0$

Replace 0 with $-5 +5$

$11^{k+1} - 6 = 11^k * 11 - 6 - 5 + 5$

$11^{k+1} - 6 = 11^k * 11 - 11- 5$

Factorize

$11^{k+1} - 6 = 11 (11^k - 1)- 5$

Substitute $11^k = 5p + 6$

$11^{k+1} - 6 = 11 (5p + 6- 1)- 5$

$11^{k+1} - 6 = 11 (5p + 5)- 5$

Factorize

$11^{k+1} - 6 = 11 *5(p + 1)- 5$

Factorize

$11^{k+1} - 6 = 5[11(p + 1)- 1]$

<em>The 5 outside the bracket implies that it is divisible by 5</em>

3 0

3 years ago