Mathematics High School

How can percents show proportional relationships between
quantities and be used to solve problems?

Answers

Answer 1

Answer:

By testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin

Step-by-step explanation:

Answer 2

Percentages are simply the measures of a quantity over a hundred (100), while proportional relationships are relationships that have a constant equivalent ratio

Solving proportional relationships using percentage

A proportional relationship is represented as:

[tex]y = kx[/tex]

Where k represents the proportionality constant, and x and y are the variables (or quantities).

Using percentages, then k has to be represented as a percentage.

Take for instance,

20 is 5% of 1007 is 5% of 140

When the above instance are represented as a proportional relationship, we have:

[tex]y = 5\% \times x[/tex]

Such that

[tex]k = 5\%[/tex]

Read more about proportional relationships and percentages at:

https://brainly.com/question/11391605

Related Questions

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Answers

Answer:

<

Step-by-step explanation:

Hope this helps!

You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking a 5 and then picking an even number?

Answers

3/5 because since you took out an odd number, there is now 5 cards in total, and there are 3 even numbers.

Answer:

1/10 or 10%

Step-by-step explanation:

Probability = favorable outcome / total number of outcomes

p(5) = 1/6

5 numbers left and 3 of them are even.

p(even) = 3/5

So combined probability is:

p(5 and even) = 1/6*3/5 = 1/10

what is a ratio and what does fractions have to do with it?

Answers

Answer:

a ratio is a comparison of two quantities, and it has to do with fractions because a ratio is just a single fraction

Step-by-step explanation:

How do I find the volume of a prism?

Answers

Answer:

470 cm³

Step-by-step explanation:

Decompose the prism into two rectangular prism.

Prism 1 will have the following dimensions and volume:

Length = 10 cm

Height = 8 cm

Width = 9 - 5 = 4 cm

Volume = L × W × H

Volume = 10 × 8 × 4 = 320 cm³

Prism 2:

Length = 10 cm

Height = 3 cm

Width = 5 cm

Volume = 10 × 3 × 5 = 150 cm³

✔️Volume of the entire prism = 320 + 150 = 470 cm³

If x+6>2x+4, which of the following is NOT a possible value for x?

Answers

245

Step-by-step explanation:

b

Answer:56

Step-by-step explanation:

Mercury is the closest planet to the sun at a distance of 36 million miles. The closest star to the sun is Proxima Centauri, which is 4.24 light years away. A light year is 5.9 x 10 to the 12th power. How many miles from the sun is Proxima Centauri?

Answers

Answer:

2.36 * 10^13 miles

Step-by-step explanation:

Given that :

Proxima centauri is at a distance of 4.24 light years away from the sun.

Distance in miles of Proxima centauri from the sun ;

1 light year = 5.9 * 10^12 miles

Number of light years from the sun * 5.9 * 10^12

= 4 * (5.9 * 10^12)

= 23.6 * 10^12 miles

= 2.36 * 10^13 miles

What is the percentage of sugar in the syrup made of 10 kg of water and 2 kg of sugar. Thx yall :D

Answers

percentage of sugar is : 2/12 = 0.166 rounds to 0.17 = 17%

What kind of triangle is this?

A) Isosceles
B) Scalene
C) Equilateral​

Answers

Answer:

Scalene

Step-by-step explanation:

Edge: Which equation has a focus at (–6, 12) and directrix of x = –12?

Answers

The solution is, b. x² = 12(y + 3) equation represents a parabola that has a focus of (0, 0) and a directrix of y = −6

What is parabola?

The parabola is a plane curve which is mirror symmetrical and is approximately U-shaped. It fits several superficial different mathematical descriptions.

here, we have,

If the focus is (0,0) and the  directrix  is y=-6, the equation will be found as follows:

Let (x,y) be any point on the parabola. Find the distance between (x,y) and the directrix, then find the distance between (x,y) and the focus. Equate these two distance equations and the simplified equation in x and y is equation of the parabola.

The distance between (x,y) and (0,0) is √(x²+y²)

The distance between (x,y) and the directrix, y=-6 is ly+6l

Equate the two distance expressions and square on both sides

√(x²+y²)=ly+6l

x²+y²=(y+6)²

simplifying and bringing terms together we get:

x²-12y-36=0

make x² the subject:

x²=12y+36

x²=12(y+3)

Hence, Answer :b. x² = 12(y + 3)

learn more on parabola:

https://brainly.com/question/1615961

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complete question:

Which equation represents a parabola that has a focus of (0, 0) and a directrix of y = −6 ?

a. x² = 12y

b. x² = 12(y + 3)

c. x² = −3y

d. x² = −3(y + 3)

Answer:

C

Step-by-step explanation:

42 is 28% of what

whover gets right can get branliest

Answers

150

explain:
100/28*42=x which turns into x=150
150
42 x 100/ 28 = 150

Ifp * (x) = 3x ^ 2 - 4 and r(x) = 2x ^ 2 - 5x + 1 . find value r(x + 2)

Answers

Answer:

         r(x+2) = 2x² + 3x - 1

Step-by-step explanation:

[tex]r(x) = 2x ^ 2 - 5x +1\\\\ r(x+2) = 2(x+2)^ 2 - 5(x+2) +1\\\\ r(x+2) = 2(x^2+4x+4) - 5x-10+1\\\\ r(x+2) = 2x^2+8x+8 - 5x-9\\\\ r(x+2) = 2x^2+3x-1[/tex]

what is the answer i need help asap pleaseee

Answers

Answer:

-4 degrees C

Step-by-step explanation:

-9 + 5 = -4

The price of a washing machine was decreased by 20% to £640.
What was the price before the decrease?

Answers

Answer:

£800

Step-by-step explanation:

Use the percentage formula: NV = m x OV

NV is New Value;

m is Multiplier;

and OV is Old Value.

£640 in the New value, so now we have to convert 20% to a multiplier and find out the Old value.

Make OV the subject of the formula: OV = NV / m

So 20% decrease would mean: 100 - 20 = 80 * 100 = 0.80

Divide 640 (NV) by 0.80 (m) and it will give you:

£800

And it would make sense that the OV is higher, and it matches the statement -> as the NV is the decrease.

What is the area of the triangle shown below?
|
1
10

Answers

Answer:

[tex] \frac{1}{2} \times 10 \times 8 \\ \\ = 40[/tex]

this is the explanation.

-n+2=7
Can sum one tell me this answer

Answers

Answer:

n= -5

Step-by-step explanation:

Answer:

Step-by-step explanation:

-n is -5

pls mark brainliest

Can someone please help me it's due by tomorrow.

Answers

Answer:

Yea I can help you

was there supposed to be a picture included.

Step-by-step explanation:

...................................

Answers

1) the first answer is the 3rd option

Answer:

1st question's answer is the 3rd option

2nd question's answer is the 2nd option

Step-by-step explanation:

22/44 in simplest form?

Answers

Answer:

22/44, divide both sides by 22, then you would got 1/2

1/2. This is because 22 is half of 44, so we can simplify it into 1/2.

Which fraction is closest to the benchmark 1?
A. 1/5
B. 1/3
C. 4/9
D. 8/9



Answers

Answer: D

Step-by-step explanation:

The larger the denominator gets, the smaller the parts are split, therefore 8/9 is the closest to 1

2 feet to 43 inches type the ratio as a simplified fraction help with question plzz

Answers

Answer:

24/43

Step-by-step explanation:

2 feet = 24 inches

The answer is 24/43 or 24:43. I can't be simplified.

If 1.) Gabby made a scale drawing of the Sam Houston statue in Huntsville, TX. The statue is actually 67 feet tall. Gabby's model used a scale of 1 inch = 20 feet. What was the length of her drawing?​

Answers

Answer:

3.35 inches

Step-by-step explanation:

Actual height of statue = 67 feets

Scale used : 1 inch = 20 feets

Let Length of drawing = x

1 inch = 20 feets

x inch = 67 feets

Cross multiply to obtain the length of the drawing in inches

20 * x = 67 * 1

20x = 67

x = 67 / 20

x = 3.35 inches

Hence, length of her drawing is 3. 35 inches

Point A lies on the circle and has an x-coordinate of 1.
Which is the correct calculation of the y-coordinate of
point A?

Answers

Answer:

D

Step-by-step explanation:

edg

Answer:

D

Step-by-step explanation:

I WILL GIVE YOU BRAINLYEST!! PLSS HELP ME ASAP!!

write about how you
would find the Lateral Surface
Area vs the Total Surface Area
of the Rectangular Prism shown.
*DO NOT SOLVE*

Answers

omg i can help you because I was having trouble with the same thing! so the Total Surface Area= Ph+2B meaning you have to find the P=perimeter Lx2+Wx2, then the height, then base. the lateral area is Ph+B :)!!

I need some help please?

Answers

Answer:

38°

Step-by-step explanation:

hope this helps :)

Maria wants to know if the number of words on a page in her earth science book is generally more than the number of words on a page in her math book. She takes a random sample of 25 pages in each book, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.



Mean Median Mean Absolute Deviation
Earth science 48.9 41 9.2
Math 34.5 44 1.9
She claims that because the mean number of words on each page in the earth science book is greater than the mean number of words on each page in the math book, the earth science book has more words per page. Based on the data, is this a valid inference?

Answers

Answer:

No, because there is a lot of variability in the earth science book data.

Step-by-step explanation:

I just took the test and the explanation is that the earth book has more pages and more variability so that is why her answer is wrong.

Answer:

No, because there is a lot of variability in the earth science book data.

Step-by-step explanation:

71/3 - 21/4 (2 1/5 × 3/4) with working

Answers

71/3 - 21/4 × (21/5 × 3/4)
⇒(71×4-21×3)/12 × (21×3/5×4)
⇒(284-63)/12 × (63/20)
⇒221/12 × 63/20
⇒(221×63)/(12×20)
⇒13923/240
∴71/3 - 21/4 × (21/5 × 3/4) = 13923/240

Pls help
I can’t fail
Shhsvshdbdhhr
Please

Answers

32° (explanation) most angles add up to 180°,
180°- 148° = 32°
32 is the answer to this

Find the value of x, y, and z

Answers

Answer:

Step-by-step explanation:

x + 28 + 39 = 180

x + 67 = 180

x = 113

y + 113= 180

y = 67

z + 67 + 64 = 180

z + 131 = 180

z = 49

15 x -3=?

5
45
-45
-5

Answers

Answer:

- 45

hope it's helpful ❤❤❤❤

THANK YOU.

can you help me please​

Answers

The picture is very blurry

Answer:

Im pretty sure you divide 13 by x

Step-by-step explanation:

Other Questions
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Then select at least four pieces of evidence from the passage and explain how they support your thesis.In your response you should do the following:Respond to the prompt with a claim that establishes a line of reasoning.Select and use evidence to develop and support your line of reasoning.Explain the relationship between the evidence and your thesis.No man can fully grasp how far and how fast we have come, but condense, if you will, the 50,000 years of mans recorded history in a time span of but a half-century. Stated in these terms, we know very little about the first 40 years, except at the end of them advanced man had learned to use the skins of animals to cover them. Then about 10 years ago, under this standard, man emerged from his caves to construct other kinds of shelter. Only five years ago man learned to write and use a cart with wheels. Christianity began less than two years ago. 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