What is the quotient? 3806 ________

Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32. Ms Ramirez bought 4 rolls of toilet paper and 1

zlopas [31]

Answer:

The cost of a roll of toilet paper is $2 and the cost of a bottle of hand sanitizer is $4.

Step-by-step explanation:

Given:

Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32.

Ms Ramirez bought 4 rolls of toilet paper and 1 bottle of hand sanitizer for $12.

Now, to find the cost for each item sold.

Let the cost of a roll of toilet paper be $x.$

And the cost of a bottle of hand sanitizer be $y.$

So, the cost of 4 rolls of toilet paper and 1 bottle of hand sanitizer:

$4x+y=12\\\\y=12-4x\ \ \ \ .....(1)$

Now, the cost of 6 rolls of toilet paper and 5 bottles of hand sanitizer:

$6x+5y=32$

Substituting the value of $y$ from equation (1):

$6x+5(12-4x)=32$

$6x+60-20x=32$

$60-14x=32$

Subtracting both sides by 60 we get:

$-14x=-28$

Dividing both sides by -14 we get:

$x=2.$

The cost of a roll of toilet paper = $2.

Now, substituting the value of $x$ in equation (1):

$y=12-4x\\\\y=12-4\times 2\\\\y=12-8\\\\y=4.$

The cost of a bottle of hand sanitizer = $4.

Therefore, the cost of a roll of toilet paper is $2 and the cost of a bottle of hand sanitizer is $4.

7 0

3 years ago

Solve 3^(x − 2) = 37. A 2 B 5 C 7 D 9

ASHA 777 [7]

Answer:

Step-by-step explanation:

$3^{x-2}=3^7\iff x-2=7\qquad\text{add 2 to both sides}\\\\x-2+2=7+2\\\\x=9$

7 0

3 years ago

I WILL GIVE BRAINLIEST to who answers this question correctly.

Alborosie

You start counting from 0 onwards:

C = 6
D = 8

Then C x D = 48

So the product CxD is situated at 48 units from 0

4 0

3 years ago

A repair bill for your car is $553. The parts cost $265. The labor cost is $48 per hour. Write and solve an equation to find the

Lilit [14]

Answer:

6 hours

Step-by-step explanation:

Let the labor hours be x.

The bill comprises of parts cost plus labor cost. Labor cost is hours times the cost per hour. Then we have equation:

265 + 48x = 553
48x = 553 - 265
48x = 288
x = 288/48
x= 6

So the answer is 6 hours.

4 0

3 years ago

Jean works for the government and was conducting a survey to determine the income levels of a number of different neighborhoods

NikAS [45]

Answer:

0.0418 = 4.18% probability that the average income level in the neighborhoods was less than $38,000.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .