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cricket20 [7]
3 years ago
12

Walter is mixing cement for his new patio. He knows he needs to water-to-cement ratio of 20-30. What percent of his total mixtur

e is water?
Mathematics
1 answer:
shtirl [24]3 years ago
5 0
The ratio of water to cement is 20:30 meaning that for every 20 parts of water, we have 30 parts of cement. There are 20+30 = 50 parts total.

Divide the number of parts of water (20) over the total number of parts (50)
20/50 = 2/5 = 0.40
use a calculator or long division to find the decimal form of 2/5 to be 0.40

Then move the decimal point 2 spots to the right to go from 0.40 to 40%

Answer: the percent of water in the mix is 40%
You might be interested in
Which properties of logarithms help you simplify log 200 + log 5 - log 100? (Select all that apply.)
Readme [11.4K]

Answer:

Step-by-step explanation:

Which properties of logarithms help you simplify log 200 + log 5 - log 100? (Select all that apply.)

a)quotient property

b)power property

c)change of base rule

d)product property

7 0
2 years ago
Which situation could be represented by the graph?
Ymorist [56]

The correct option which resembles with the given graph is \fbox{\begin\\\ optionA and optionC\\\end{minispace}}.

Further explanation:

From the given graph the it is observed that the interval is [8,11) which is a half open interval or it can be said that it is a half closed interval.

A half closed or a half open interval is an interval in which one end point of the interval is included but the other point is not included.

For example:

In an interval of the form [a,b) the point a is included in the set but the point b is not included in the set.

Similarly, in the interval [8,11) the point 8 is included in the set but the point 11 is not included in the set.

In order to determine the correct option which resembles with given graph form interval for each option.

Option A:

As per the statement in option A the age of the student must be at least 8 years and not more than 11 years that is the age of the student is either 8 years or greater than 8 years and less than 11 years.

As per the above statement the interval formed is \fbox{\begin\\\ [8,11)\\\end{minispace}} in which 8 is included in the set and 11 is not included which means it is a half closed or half opoen interval.

Therefore, \fbox{\begin\\\ optionA\\\end{minispace}} is a correct option.

Option B:

As per the statement in option B the amount of money the babysitter can earn is between \$8 and \$11 per hour.

As per the above statement the interval formed is \fbox{\begin\\\ (8,11)\\\end{minispace}} in which both of the end points are not included in the set which means that it is an open interval.

Therefore, \fbox{\begin\\\ optionB\\\end{minispace}} is an incorrect option.

Option C:

As per the statement in option C the time required to complete a program in college cannot be less than 8 hours and the time must be less than 11 hours.

From the above statement it is concluded that the time required can be 8 hours or more than 8 hours but it has to be less than 11 hours.

So, as per the above the statement the interval formed is \fbox{\begin\\\ [8,11)\\\end{minispace}}.

Therefore, \fbox{\begin\\\ optionC\\\end{minispace}} is a correct option.

Option D:

As per the statement in option D the age of the dogs is either 8 years old or below 8 years and age of the dog must be greater than  11 tears.

As per the above statement the interval formed is \fbox{\begin\\\ (-\infty,8) \bigcup(11,\infty)\\\end{minispace}}.

Therefore, the \fbox{\begin\\\ optionD\\\end{minispace}} is an incorrect option.

So, \fbox{\begin\\\ optionA and optionC\\\end{minispace}} are the correct options which resembles with the given graph.

Learn more:

  1. A problem on composite function brainly.com/question/2723982
  2. A problem to find radius and center of circle brainly.com/question/9510228
  3. A problem to determine intercepts of a line brainly.com/question/1332667

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Sets

Keywords: Interval, set, open interval, closed interval, half open interval, half closed interval, set theory, program, community college, babysitters, veterinary clinic, ages, students.

5 0
2 years ago
Read 2 more answers
A department store, on average, has daily sales of 28,651.79. the standard deviation pf sales is $1000. On Tuesday, the store so
adelina 88 [10]

Answer:

Tuesday's Z-score is 7.56

Step-by-step explanation:

We are given that a department store, on average, has daily sales of 28,651.79 and the standard deviation of sales is $1000.

Also, it is given that on Tuesday, the store sold $36,211.08 worth of goods.

Let X = Daily sales of goods

So, X ~ N(\mu = 28,651.79, \sigma^{2} =1000^{2})

The z-score probability distribution is given by;

        Z = \frac{X-\mu}{\sigma} ~ standard normal N(0,1)

Now, Tuesday,s Z-score is given by;

      Z = \frac{36,211.08-28,651.79}{1000} = 7.56

Yes, Tuesday was an unusually good day as on this day more worth of sales takes place as compared to the average daily sales of $28,651.79 .

5 0
3 years ago
2. Sam has two part-time jobs, delivering pizza and mowing lawns. He makes $9/hr delivering pizza and $7/hr mowing lawns. Last w
frutty [35]

Answer:

<h2>22 hours and 10 hours </h2>

Step-by-step explanation:

let the jobs be x and y, so that

x+y=32--------1

9x+7y=248----2

x=32-y

substitute x=32-y for x in equation 2 we have

9(32-y)+7y=248

open bracket we have

288-9y+7y=248

-2y=248-288

-2y=-40

2y=40

divide both sides by 2 we have

y=40/2

y= 10 hours

subtitute y=10 for y in equation 1 to find x

x+10=32--------1

x=32-10

x=22

x=22 hours

4 0
3 years ago
The price of a new car is $42,500. If the sales tax rate is 6%, what is the total cost for the car including tax?
ozzi

Answer: $45,050

Step-by-step explanation:

First we multipy 0.06 (6%) by 42,500

$42,500 * 0.06 = $2550

This is the tax that must be applied to $42,500

Now all we need to do is add $2,550to $42,500 and we get:

$42,500 + $2,550 = $45,050

7 0
3 years ago
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