explain how the percent equation relates proportional quantities

Answers

Answer 1

Use cross product to determine if the two ratios form a proportion. Here we can see that 2/16 and 5/40 are proportions since their cross products are equal. Percent means hundredths or per hundred and is written with the symbol, %. Percent is a ratio were we compare numbers to 100 which means that 1% is 1/100.

Answer 2

The proportion is a general case of percentage. (Refer to the examples explained below).

What is the percent equation?Proportion is a general case of percentage. It describes how much of the total a particular sample is. For example, if a pie contains eight slices and you have five, the proportion is 5/8. You have a total of five out of eight. A percent (the number of parts out of 100) is a special case of proportion where the denominator (“whole”) equals 100 parts. I suspect that percentages were created to allow a normalized comparison of proportions when the total number of parts was not the same. Imagine a small pizza with 6 slices and a large pizza with 8 slices. If Tom got 4 from the first and Ram got 5 from the second, it is not immediately clear who got more from the second. Converting 4/6 and 5/8 to percentages (66.7 and 62.5) allows you to see when the denominator equals who got relatively "more".Furthermore, I suspect that 100 was used because we live in a 10-base world (we have 10 fingers, which makes it natural).

Therefore, the proportion is a general case of percentage.

Know more about percent equations here:

https://brainly.com/question/9553743

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Related Questions

A restaurant uses 4 pounds of potatoes for a party of 12 people if they are cooking potatoes for a party of 60 people,what should they do?

Answers

Answer:

They should multiply the amount of potatoes by 5. 12 is 1/5 of 60. Therefore, if you need 4 pounds of potatoes for 12 people, then you will need 20 pounds of potatoes for 60 people.

Step-by-step explanation:

What is the answer for 2

Answers

Answer:

C

Step-by-step explanation:

73.89 x .05 = 3.6945

but to round it will become 3.69

Answer:

C. $3.69

Step-by-step explanation:

73.89 × 0.05 = $3.6945$3.6945 rounds to $3.69

I hope this helps!

what is the product of 0.086 x 10 power 2

Answers

Answer:

The product is 8.6

Step-by-step explanation:

you move two decimal places to your right

11/12 of the disk space on a
hard drive is unused. 3 people
need to use the remaining disk
space evenly. How much of the
total disk space will 1 user get?

Answers

Answer:

2 whole number 1 out of 4

Step-by-step explanation:

11/12 x 3

11/4 = 2remainder 3

2 whole number 3 out of 12

When u reduce it will be 2 whole number 1 out of 4

What would be the Range of this Pattern?
A. All integers greater than 4
B. All integers greater than 0
C. All real numbers greater than 6
D. All real numbers

Answers

Answer:

All integers greater than 4

Step-by-step explanation:

I took the test.

Find the maturity value and the compound interest if $3,600 is invested at 6% compounded semi-
annually for 5 years and 7 months. Round your final answers to 2 decimal places

Answers

Answer:Answer Expert Verified. The Answer is that the present value of $100 is $100. Because this $100 dollar is deposited today so the time is equal to zero and when time is zero the value of amount is the value of amount itself.

Step-by-step explanation:

what is 8.42 times 10 to the 3rd power​

Answers

Answer:

8420

Step-by-step explanation:

10 to the third power will move the decimal point three place values to the right. So, the first two times you move it, you get 842, and so there is a 0 on the end to signify that it moved the third time.  

(WILL MARK BRAINLIEST!)

What is 0.08 written as a fraction in simplest form?
A. 1/125
B. 2/25
C. 1/12
D. 4/5

Answers

Answer:

B. 2/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

B. 2/25

I dont understand do I multiply four to get the area?

Answers

Answer:

yes

Step-by-step explanation:

3×5×45=365m²

Answer:

yes

Step-by-step explanation:

If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?

Answers

Answer:

[tex]r=4[/tex]

Step-by-step explanation:

We know that the slope of the line is -1.

We also know that the line passes through (-9, 3) and (-10, r).

We want to find the value of r.

First, let's figure out the equation of our line. We can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).

Substitute:

[tex]y-(3)=-1(x-(-9))[/tex]

Simplify:

[tex]y-3=-(x+9)[/tex]

Distribute:

[tex]y-3=-x-9[/tex]

Add 3 to both sides. So, our equation is:

[tex]y=-x-6[/tex]

It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:

[tex]r=-(-10)-6[/tex]

Evaluate for r. Distribute:

[tex]r=10-6[/tex]

Subtract:

[tex]r=4[/tex]

So, the value of r is 4.

And we're done!

12x ÷ 4y (if x = -8 and y = 3)​

Answers

Answer: -8

Step-by-step explanation:

What is the midpoint between the following two points
(3,-2) & (9,2)


A) (6,0)
B) (0,6)
C) (3,1)
D) (3,2)

Answers

Answer:

B, (6,0)

Take the average of the x values and the average of the y values:

(3+9)/2 = 6

(-2+2)/2 = 0

This means the answer (the average (midpoint) of the two points) is (6,0)

18% of 200 is between which two numbers?

Answers

Answer:

35&37

Step-by-step explanation:

Well 18% of 200 is 36 so...

A cell phone company charges $25 per month, plus $0.10 per text message sent. Before taxes, Susie’s bill was $80 for 3 months of service. How many text messages did Susie send during those 3

Answers

50 text messages

let m = the number of months
let t = each message sent

25m + 0.1t = 80

plug 3 in for m (because 3 months)
25(3) + 0.1t = 80

simplify
75 + 0.1t = 80

subtract 75 from 80
0.1t = 5

divide 5 by 0.1
t = 50

answer: 50 text messages

Simplify the expression.

(x4y2)1/2
A) 2(x4y2)
B) x1/8y1/4
C) x2y
D) x8y4

Answers

Answer:

C)

when you distrbe you get x^2 y

If a =3.6 and b=10 then ab=

Answers

Answer:

36

Step-by-step explanation:

ab = a*b

a=3.6

b=10

3.6*10

=36

Write the equation for the vertical line going through the point (16,25).​

Answers

Answer:

x=16

Step-by-step explanation:

Vertical lines are of the form

x=

Since the x coordinate is 16

x=16

Answer: 16

Step-by-step explanation: x is on 16

Henry wants to earn at least $41 trimming trees. He charges $8 per hour and pays $7 in equipment fees. What are the possible numbers of hours Henry could trim trees?
Use t for the number of hours.
Write your answer as an inequality solved for t.

Answers

Answer:

8t - 7 ≤ 41  ||  t ≤ 6

Step-by-step explanation:

8t - 7 ≤ 41

   +7      +7

---------------

8t ≤ 48

÷8    ÷8

----------------

t ≤ 6

please help quickly!!!! i only have 5 minutes left ill give brainliest

Answers

Answer:

y=1/3x+2

Step-by-step explanation:

To solve, you plug in each vaule for x and y in the table. If it is a true statement for more than 1 answer, thats the correct answer

Answer: C

Step-by-step explanation:

I had this question before

=2 2/5 x 4 (What is the answer?)

Answers

Answer:

um 22 /20

is the question

if it's the case of factorised

than answer is 11/10

Answer:

48/5

Step-by-step explanation:

I will assume that you mean [tex](2\frac{2}{5}) \cdot 4[/tex].

This is equivalent to [tex](\frac{12}{5}) \cdot 4 = \boxed{\frac{48}{5}}[/tex]

WILL GIVE BRAINLIEST!! What are the slope and the y-intercept of the linear function that is represented by the graph?

On a coordinate plane, a line goes through points (0, 3) and (4, 0).

a
The slope is Negative four-thirds, and the y-intercept is 4.

b
The slope is Negative four-thirds, and the y-intercept is 3.

c
The slope is Negative three-fourths, and the y-intercept is 4.

d
The slope is Negative three-fourths, and the y-intercept is 3.

Answers

Answer:

its d

Step-by-step explanation:

y=-3/4+3 I think that's right

Answer:

D- i think because it wouldn't be 4/3 because you cant go over 4 and up three and the y-intrecept is 3

Please vote brainliest :)

Stanley is looking to retire and move near the ocean. The Jersey Shore has seen a rise in sea levels the past few years. These high tides have caused floods in 100 places that call themselves Jersey Shore towns, which are on or within reasonable distance of the ocean. Stanley is nervous about possible floods and would like to be prepared for costs associated with them. As Stanley’s friend and an expert in risk management, you collect past information and have constructed the following probability distribution for the number of floods per town per summer at the Jersey Shore. # of floods per town per summer Probability 0 0.10 1 0.15 2 0.26 3 0.30 4 0.15 5 0.04 a. Calculate the expected frequency of floods per town per summer. (2 points) b. Calculated the variance. (2 points)

Answers

Answer:

2.37 ; 1.6731

Step-by-step explanation:

Given the data:

X:___0____1____2____3____4____5

P(x):_0.10_0.15_0.26__0.30_0.15__0.04

the expected frequency of floods per town per summer

Σ(flood per Town per summer) * probability

Σ(X)*p(x)

Σ(0*0.10) + (1*0.15) + (2*0.26) + (3*0.30) + (4*0.15) + (5*0.04)

= (0 + 0.15 + 0.52 + 0.90 + 0.60 + 0.2)

= 2.37

Variance (s²) :

Σ[x². P(x)] - u²

Using an online variance calculator to save computation time :

s² = 16731 / 10000

s² = 1.6731

What is the value of X? x +31 equals 66

Answers

Answer:

35

Step-by-step explanation:

Simply subtract 31 from 66 to receive the value of x

Answer:

X = 35

Step-by-step explanation:

Take 31 over to the other side so the equation looks like this

[tex]x = 66 - 31[/tex]

Then, solve for 66 - 31.

You will end up with x = 35.

You can also check your work by substituting X with 35.  

Hopefully this helped :)

2 books cost 60 dollars how much will it cost for 5 books

Answers

Answer:

150 $

Step-by-step explanation:

60 :2 =30$cost a book

5×30 =150 $cost 5 books

Or

2 books..... 60 $

5 books...... x$

x=60 ×5 :2

x=300 :2

x=150$

Answer:

60 divided by 2 is 30 meaning 30$ for each book times 5 = 150 $

Step-by-step explanation:

hope i helped

Find all the factors of 125

Answers

Answer:

1,5,25,125,

all can be added or multiplied to equal 125

7 is 10 times the value of what number

Answers

Answer:

0.7

Step-by-step explanation:

7/10=0.7

I Given f(x) = 3x + 2 and g(x)= x? – 5. Find each of the following functions.
1. (f+g)(x)
2. (f- g)(x)
3. (fg)(x)
4. (f/g)(x)
2

Answers

Answer:

a) 4x-3

b)2x+7

c) 3x^2-13x-10

d) (3x^2+2)/(x-5)

Step-by-step explanation:

If you care to learn how these were solved and weren't just looking for answer let me know.

Perform the indicated operations. Express the result in scientific notation.
(5.7 x 105) + (4.6 x 106)-(2.9 x 105)
O 7.4 x 105
O 3.3 x 106
O 4.88 x 106
O 5.17 x 106

Answers

Answer:

The  answer is  C 4.88 x 106

Step-by-step explanation:

A study is performed in a large southern town to determine whether the average amount spent on food per four-person family in the town is significantly different from the national average. A random sample of the weekly grocery bills of two-person families in this town is given in the file. Assume the national average amount spent on food for a four-person family is $150.
a. Identify the null and alternative hypotheses for this situation.
b. Is the sample evidence statistically significant? If so, at what significance levels can you reject the null hypothesis?
c. For which values of the sample mean (e.g., average weekly grocery bill) would you reject the null hypothesis at the 1% significance level? For which values of the sample mean would you reject the null hypothesis at the 10% level?
Family Weekly food expense
1 $198.23
2 $143.53
3 $207.48
4 $134.55
5 $182.01
6 $189.84
7 $170.36
8 $163.72
9 $155.73
10 $203.73
11 $191.19
12 $172.66
13 $154.25
14 $179.03
15 $130.29
16 $170.73
17 $194.50
18 $171.14
19 $175.19
20 $177.25
21 $166.62
22 $135.54
23 $141.18
24 $158.48
25 $159.78
26 $157.42
27 $98.40
28 $181.63
29 $128.45
30 $190.84
31 $154.04
32 $190.22
33 $161.48
34 $113.42
35 $148.83
36 $197.68
37 $135.49
38 $146.72
39 $176.62
40 $154.60
41 $178.39
42 $186.32
43 $157.94
44 $116.35
45 $136.81
46 $195.58
47 $129.44
48 $146.84
49 $165.63
50 $158.97
51 $210.00
52 $175.46
53 $159.69
54 $154.56
55 $152.95
56 $177.30
57 $129.23
58 $127.40
59 $167.48
60 $183.83
61 $157.39
62 $163.24
63 $165.01
64 $137.43
65 $177.37
66 $142.68
67 $150.04
68 $161.44
69 $166.13
70 $190.96
71 $187.19
72 $116.63
73 $159.73
74 $159.64
75 $142.44
76 $153.03
77 $143.12
78 $156.35
79 $182.70
80 $129.03
81 $119.06
82 $137.99
83 $144.20
84 $183.51
85 $169.67
86 $134.66
87 $202.94
88 $143.43
89 $170.52
90 $139.53
91 $159.31
92 $134.77
93 $165.48
94 $127.20
95 $168.16
96 $125.39
97 $167.96
98 $178.64
99 $134.38
100 $111.87

Answers

Step-by-step explanation:

H0: u = 150

H1: u ≠ 150

Total sum = 15933.24

N = 100

Mean = 15933.24/100

= 159.3324

σ² = 25954.03 - (159.3324)²/100

σ² = 556.213

σ = √556.213

σ = 23.8162

Testing hypothesis

t = (bar x - u)/ σ/√n

= 159.3324-150/23.8162/√100

= 3.91

We will have a p value of 0.02

0.0002 < 0.01

We reject null hypothesis at 1% level of significance

C. Mean = 159.3324

Se= 2.3936

Df = 100-1 = 99

Critical value at 0.01 = +-2.626

T = x-u/s.e

= -2.626 =( x -150)/2.3936

When we cross multiply and solve this

X = 143.714 for the lower tail

2.626 = (x-159)/2.3936

= 156.286 for upper tail.

We therefore reject H0 at

Bar X <= 143.71

Bar X >= 156.286

At 10%

Critical t = 1.660

-1.660 = (x - 150)/2.3936

Solving this ,

X =146.02 at the lower tail

1.660 = (x-150)/2.3936

X = 153.97

We reject H0 at

X<= 146.03

X>=153.97

a charity raised about 8200. if the amount of money was rounded to the nearest hundred dollars, what ciuld have been the exact amount?

Answers

Answer:

Anything from 8150 to 8249

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