How to solve inequalities like 4x-4y》28

rugs Emporium installs carpet for $80 plus $9.50 per square yard of carpet carpets 4 U charges $120 for installation and $7.50 p

mihalych1998 [28]

The area of the carpet must be greater than 20 square yards for which Rugs Emporium charges more than Carpets 4U.

Explanation

Suppose, the number of square yards of carpet is $x$

Rugs Emporium charges $80 plus $9.50 per square yard of carpet. So, the total charge for $x$ square yards of carpet $= (80+9.50x) dollar$

Carpets 4U charges $120 for installation and $7.50 per square yard of carpet. So the total charge for $x$ square yards of carpet $=(120+7.50x) dollar$

If the Rugs Emporium charges more than Carpets 4U , then the inequality will be.....

$80+9.50x>120+7.50x\\ \\ 9.50x-7.50x>120-80 \\ \\ 2x>40\\ \\ x>20$

So, the area of the carpet must be greater than 20 square yards for which Rugs Emporium charges more than Carpets 4U.

5 0

3 years ago

In need of help! ASAP!!!!!!!!!!!!!!!

lora16 [44]

I've Got Your Back:

What do you need help with?

Here's what you wanna do.

Add 6 dollars to 12.75.

You now have $18.75

Now subtract 10

18.75 - 10 = 8.75

Now subtract 3.50

8.75 - 3.50 = 5.25

So, the cotton candy costs $5.25

6 0

3 years ago

Fill in the blank in the sentence below with the correct term. The _________ of the numbers -4 and 4 is 4

Ray Of Light [21]

Answer:

Absolute value

Step-by-step explanation:

Absolute value is how many numbers it takes to get back to zero therefore it can never be negative, I think the term absolute value fits the blank perfectly

5 0

3 years ago

The probability distribution for the random variable x follows. x f(x) 20 0.20 25 0.15 30 0.30 35 0.35 (a) Is this probability d

Damm [24]

Answer:

(a) The probability distribution is valid.

(b) The probability that x = 30 is 0.30.

Step-by-step explanation:

The probability distribution of the random variable X is:

x: 20 | 25 | 30 | 35

f (x): 0.20 | 0.15 | 0.30 | 0.35

(a)

The properties of a probability distribution are:

0 ≤ P (X) ≤ 1
∑ P (X) = 1

All the probability value are more than 0 and less than 1.

Compute the sum of all the probabilities as follows:

$\sum P(X)=0.20+0.15+0.30+0.35=1$

The sum of all probabilities is 1.

Thus, the probability distribution is valid.

(b)

Consider the probability distribution table.

The probability of X = 30 is,

P (X = 30) = 0.30.

Thus, the probability that x = 30 is 0.30.

6 0

3 years ago

Flying against the wind, a jet travels 2190 miles in 3 hours. Flying with the wind, the same jet travels 9520 miles in 8 hours.

dezoksy [38]

Answer:

Velocity of jet in still air is 970 miles per hour and velocity of wind is 210 miles per hour.

Step-by-step explanation:

Jet's velocity against wind is

3040/4 = 760 miles per hour and flying with wind it is

8260/7 = 1180 miles per hour.

Let the velocity of jet in still air be x miles per hour and velocity of wind be y miles per hour.

As such its velocity against wind is x − y and with wind is x + y and therefore

x − y = 760 and x + y = 1180

Adding the two 2 x = 1940 and x = 970 and y = 1180 − 970 = 210

Hence velocity of jet in still air is 970 miles per hour and velocity of wind is

210 miles per hour.

Actual Answer:

https://socratic.org/questions/flying-against-the-wind-a-jet-travels-3040-miles-in-4-hours-flying-with-the-wind

7 0

3 years ago