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3 years ago

Mary got the following scores in math: 56% 70% 65% 94% 64%. what is the mean(average) score?

1 answer:

6 0

Answer: 69.8

Explanation: The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

56 + 70 + 65 + 94 + 64 = 349
349 divided by 5 = 69.8

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Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box cos

RideAnS [48]

Answer:

Jillian sold 15 ten-oz bags and 9 sixteen-oz bags.

Step-by-step explanation:

Let x represent number of 10-oz bags and y represent number of 16-oz bags.

We have been given that Jillian sold 24 boxes of cookies in total. We can represent this information in an equation as:

$x+y=24...(1)$

We are also told that 10 oz. box costs $3.50, while the 16 oz. box costs $5.00, so the cost of x 10-oz bags would be $3.50x$ and cost of y 16-oz bags would be $5y$ .

At the end of one week, she collected $97.50. We can represent this information in an equation as:

$3.5x+5y=97.50...(2)$

Now, we will use substitution method to solve our system of equations. From equation (1), we will get:

$y=24-x$

Substitute this value in equation (2):

$3.5x+5(24-x)=97.50$

$3.5x+120-5x=97.50$

$-1.5x+120=97.50$

$-1.5x+120-120=97.50-120$

$-1.5x=-22.5$

$\frac{-1.5x}{-1.5}=\frac{-22.5}{-1.5}$

$x=15$

Therefore, the number of 10-oz boxes sold be Jillian is 15.

Now, we will substitute $x=15$ in equation (1) to solve for y.

$15+y=24$

$15-15+y=24-15$

$y=9$

Therefore, the number of 16-oz boxes sold be Jillian is 9.

8 0

3 years ago

What is the solution set to the inequality (4x-3)(2x-1)20?

Fynjy0 [20]

The given question is wrong.

Question:

What is the solution set to the inequality (4x – 3) (2x – 1) ≥ 0?

(A) $\{x| x\leq 3\ \text {or} \ x\geq 1$

(B) $\{x| x\leq 2\ \text {or} \ x\geq \frac{4}{3}$

(D) $\{x| x\leq \frac{-1}{2}\ \text {or} \ x\geq \frac{-3}{4}$

Answer:

The solution set to the given inequality is $\{x| x\leq \frac{1}{2}\ \text {or} \ x\geq \frac{3}{4}$ .

Solution:

Given expression is (4x – 3) (2x – 1) ≥ 0.

Let us take the expression is equal to zero.

(4x – 3) (2x – 1) = 0

By quadratic factor, If AB = 0, then A = 0 or B = 0.

(4x – 3) = 0 or (2x – 1) = 0

Let us take the first factor equal to zero.

⇒ 4x – 3 = 0

⇒ 4x = 3

$$x=\frac{3}{4}$

Now, take the second factor equal to zero.

⇒ 2x – 1 = 0

⇒ 2x = 1

$$x=\frac{1}{2}$

So, $$x=\frac{1}{2},x=\frac{3}{4}$ .

Now, write it in the inequality to make the statement true.

$$x\geq \frac{1}{2}\ \text{(or)}\ x\leq \frac{3}{4}$

Option C is the correct answer.

The solution set to the given inequality is $\{x| x\leq \frac{1}{2}\ \text {or} \ x\geq \frac{3}{4}$ .

6 0

4 years ago

William, Xing Mei, Yuki, and Zack run a race. In how many different ways can they finish?

BigorU [14]

Answer:

Step-by-step explanation:

Four total places someone can come - 1st, 2nd, 3rd or 4th. Anyone can come 1st - 4 people

Now only the remaining 3 can come second - 3 people

Next, only the remaining 2 people can come third - 2 people

Finally, one person comes last - 1 person

4 x 3 x 2 x 1 = 24

5 0

3 years ago

Which statements are true about the ordered pair (10, 5) and the system of equations?

RSB [31]

Answer:

m<BEC = 40o

Step-by-step explanation:

4 0

3 years ago

HELP ME PLEASE!!!!!!!!!!!!!!!! You have to figure out whether its undefined or zero

MakcuM [25]

It’s an undefined slope:)

3 0

3 years ago

Read 2 more answers