All categories

3 years ago

Alexis washes 10 1/2 windows in 3/4 hour. At this rate, how many windows can she wash in one hour?

Mathematics

2 answers:

sleet_krkn [62]3 years ago

7 0

(10 1/2 ÷ 3 )x4= 14

soo 14 windows:)

aliya0001 [1]3 years ago

5 0

Answer:

Alexis will wash 14 windows in 1 hour.

Step-by-step explanation:

We are given the following information in the question.

Number of windows washed = $10\displaystyle\frac{1}{2}$

Time taken to wash the windows = $\displaystyle\frac{3}{4} \text{ hours}$

We have to find:

Number of windows washed in 1 hour=

Formula:

$\text{Windows washed in 1 hour} = \displaystyle\frac{\text{Total windows washed}}{\text{Time taken to wash windows}}=\frac{10\frac{1}{2}}{\frac{3}{4}}\\\\=\frac{21\times 4}{3\times 2} = 14$

Thus, Alexis will wash 14 windows in 1 hour.

You might be interested in

What is the value of f?

laiz [17]

Answer:

f(1/2) = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 8x - 6

f(1/2) is x = 1/2

Step 2: Evaluate

Substitute in x: f(1/2) = 8(1/2) - 6
Multiply: f(1/2) = 4 - 6
Subtract: f(1/2) = -2

5 0

3 years ago

A farmer needs to mix 12 ounces of fertilizer for every 10 pounds of soil. How many pounds of fertilizer will the farmer need to

9966 [12]

The answer is 9
12 ounces x --------------- = ---------------- 10 pounds of soil 120 pounds of soil Set the equation up as a proportion and solve for x: 10x = 1440 ---- ----- 10 10 x = 144 ounces The question asks for the answer in pounds, and 16 ounces = 1 pound. 144/16 = 9

5 0

3 years ago

Benito wrote the equations shown about the figure. Explain Benito’s errors.

Minchanka [31]

Answer:

Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

Explanation:

Benito's error was using the equal sign (=) instead of the congruency symbol (≅).

The congruency symbol (≅) means that the elements (segments, angles or figures in general) have the same measure, i.e. they have equal lengths for the segments or equal measure for the angles.

For instance, it is an error saying that the segment AB is equal to the segment BC because, as you clearly see in the picture, they are not same; they have the same length but they are joining different points, that makes them different in essence, although they have the same length. They would be equal only if they are the same figure.

In mathematics, you must not say that two different segments or two different angles are equal but they are congruent, which means that their lengths are equal. The use of equal is reserved for numbers and variables, not for figures like segment, points, angles, polygons.

7 0

3 years ago

A survey showed that 77% of us need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. 13 adults are randomly

earnstyle [38]

Using the binomial distribution, it is found that the probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

For each person, there are only two possible outcomes, either they need correction for their eyesight, or they do not. The probability of a person needing correction is independent of any other person, hence, the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

A survey showed that 77% of us need correction, hence p = 0.77.

13 adults are randomly selected, hence n = 13.

The probability that at least 12 of them need correction for their eyesight is given by:

$P(X \geq 12) = P(X = 12) + P(X = 13)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 12) = C_{13,12}.(0.77)^{12}.(0.23)^{1} = 0.1299$

$P(X = 13) = C_{13,13}.(0.77)^{13}.(0.23)^{0} = 0.0334$

Then:

$P(X \geq 12) = P(X = 12) + P(X = 13) = 0.1299 + 0.0334 = 0.163$

The probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

More can be learned about the binomial distribution at brainly.com/question/24863377

7 0

3 years ago

If 6 pipes fill a tank in 120 minutes, then 5 pipes can fill it in how many minutes

Marianna [84]

Answer:

It'll take 144 minutes for 5 pipes.

Step-by-step explanation:

${ \sf{6 \: pipes = 120 \: mins}} \\ { \sf{5 \: pipes = ( \frac{6}{5} \times 120) \: mins}} \\ \\ = { \sf{144 \: mins}}$

but practically, it seems to be abnormal. if 6 pipes take 120 mins, 5 pipes must takes a time greater than 120 mins cause amount of water flowing to the tank is decreasing.

But there is a possibility that pressure of water was increased for the case of five pipes, that's why it takes a time less than 120 mins. (t < 120)

5 0

3 years ago

Read 2 more answers