Question

An inequality is shown below:

-np - 4 ≤ 2(c - 3)

Which of the following solves for n?

n ≤ - the quantity 2 times c minus 2 all over p

n ≤ - the quantity 2 times c minus 10 all over p

n ≥ - the quantity 2 times c minus 2 all over p

n ≥ - the quantity 2 times c minus 10 all over p

Answer 1

hello ranga can you help me with this question

Answer 2

-np - 4 ≤ 2(c - 3)
Wee need to solve for n. That means isolate n.
add 4 to both sides:
-np ≤ 2(c - 3) + 4
-np ≤ 2c - 6 + 4
-np ≤ 2c - 2
divide by p
-n ≤ (2c - 2) / p
divide by -1. And because it is a negative number, flip the inequality
n >= -(2c - 2) / p

Answer 3

thankyou do you think you could help me with some other questions

Answer 4

Post one more here and i can try.

Answer 5

okay hold on

Answer 6

A hybrid car can travel 40 miles per gallon. Approximately how many gallons of fuel will the car need to travel 20 km?

[1 mile = 1.6 km]

0.3

0.8

2.5

3.2

Answer 7

Convert 20 km to miles. (You can also convert 40 miles to km. Either way you will get the same answer).

1 miles = 1.6 km. How many miles is 20 km. Proportions problem.
x miles / 20 km = 1 mile / 1.6 km
x = 20 * 1 / 1.6 = 12.5 miles.

40 miles per gallon = 40 miles / 1 gallon. How many gallons will 12.5 miles need?
Once gain, proportions problem.

12.5 miles / x gallons = 40 miles / 1 gallon
x = 12.5 * 1 / 40 = ? gallons

Answer 8

ok thankyou could you help with just one more question

Answer 9

okay.

Answer 10

thanks so much

Answer 11

Martin combined different amounts of orange juice, pineapple juice, and strawberry juice to make 1850 milliliters (ml) of fruit punch. The amount of orange juice combined was x ml. The amount of pineapple juice combined was 100 ml more than the amount of orange juice, and the amount of strawberry juice was half the amount of orange juice. This is represented in the equation below.
x + (x + 100) + one half x = 1850
What was the difference in the amounts of pineapple juice and strawberry juice Martin combined?

100 ml

450 ml

700 ml

950 ml

Answer 12

x + (x + 100) + x/2 = 1850
Solve for x first.
Then,
Pineapple juice: x + 100
Strawberry juice: x/2
Difference: Subtract x + 100 - x/2 = x/2 + 100.
Put the value of x into x/2 + 100.

Answer 13

thank you so much

Answer 14

for your time merry christmas

Answer 15

Merry Christmas and Happy Holidays to you as well.

You are welcome.