Choose the correct answer
1. ______is the ratio of 300 to 100.
a) 3 : 1 b) 1 : 3 c) 300 : 1 d) 100 : 3
2. If the weight of 20 books is 80Kg, then the weight of 1 book is..
a) 4 Kg b) 20 Kg c) 40 Kg d) 8 Kg
3. An equivalent ratio of 3 : 2 is
a) 3 : 4 b) 6 : 4 c) 9 : 4 d) 3 : 6
4. The middle terms of 3:15 = 21:105 are.
a) 3 and 15 b) 21 and 105 c) 3 and 21 d) 15 and 21
5. Which of the following is not proportional?
a) 8 : 4 :: 8 : 16 b) 4 : 8 :: 8 : 16 c) 16 : 8 :: 8 : 4 d) 8 : 16 :: 4 : 8
6. If two ratios are equal, then they are in ____________

7. The ratio of 20 boys to 15 girls is _____________
8. Express the following ratios in the simplest form.
a) 14 to 42 b) 56 to 80
9. Check whether the following are in proportion or not.
a) 4, 6, 8, 12. b) 15, 45, 5, 25.
10. If the cost of 6 cans of Juice is ₹ 210, then what will be the cost of 4 Juice?
11. Taniya earns ₹ 150,000 and saves ₹ 50,000. Find the ratio of
a) Her earning to her expenditure b) Her earning to her savings

12. Find the ratio of 15 cm to 2 meters.

Answer:

1) A, 2) A, 3) B, 4) D, 5) A, 6) proportion, 7) 4 : 3, 8) a) The simplest ratio of 14 : 42 is 1 : 3, b) The simplest ratio of 56 : 80 is 7 : 10, 9) a) The series 4, 6, 8, 12 is in proportion, since each element after the first one is equal to the sum of the previous element and 2 units, b) The series 15, 45, 5, 25 is not in proportion, since it is an alternating series, 10) 4 cans of juice cost 140, 11) a) 3 : 2, b) 3 : 1, 12) The ratio of 15 centimeters to 2 meters is 3 : 40.

Step-by-step explanation:

1) The ratio is determined by following operation:

[tex]x = \frac{300}{100}[/tex]

[tex]x = \frac{3}{1}[/tex]

3 : 1 is the ratio of 300 to 100. (Answer: A)

2) The weight of 1 book is found by the total weight of books divided by the total amount of books, that is:

[tex]x = \frac{80\,kg}{20}[/tex]

[tex]x = 4\,kg[/tex]

The weight of 1 book is 4 kilograms. (Answer: A)

3) The equivalent ratio of 3 : 2 is found by multiplicating both numerator and denominator by a given positive number:  

[tex]x = \frac{3\times 2}{2\times 2}[/tex]

[tex]x = \frac{9}{4}[/tex]

An equivalent ratio of 3 : 2 is 6 : 4. (Answer: B)

4) The middle terms of ratio correspond with the denominator of the ratio on the left and the numerator of the ratio on the right. Hence, the middle terms of 3 : 15 = 21 : 105 are 15 and 21. (Answer: D)

5) 8 : 4 is not proportional to 8 : 16, since both numerators and denominators are not multiplied by the same number. That is:

[tex]x = \frac{8\times 1}{4\times 4}[/tex]

[tex]x = \frac{8}{16}[/tex]

8 : 4 :: 8 : 16 is not proportional. (Answer: A)

6) If two ratios are equal, then they are in proportion. That is:

[tex]a \,:\,b \,::c\,:\,d[/tex], where [tex]r = \frac{c}{a} = \frac{d}{b}[/tex], [tex]\forall\,r > 0[/tex].

If two ratios are equal, then they are in proportion. (Answer: proportion)

7) The ratio of 20 boys to 15 girls is derived of 20 divided by 15 until a denominator of the least integer is found by simplifying the fraction:

[tex]\frac{20}{15} = \frac{4}{3}[/tex]

The ratio of 20 boys to 15 girls is 4 : 3. (Answer: 4 : 3)

8) Express the following ratios in the simplest form:

a) [tex]\frac{14}{42} = \frac{7}{21} = \frac{1}{3}[/tex].

The simplest ratio of 14 : 42 is 1 : 3.

b) [tex]\frac{56}{80} = \frac{28}{40} = \frac{14}{20} = \frac{7}{10}[/tex]

The simplest ratio of 56 : 80 is 7 : 10.

9) When a series is in proportion, it must be in increasing or decreasing order at constant rate.

a) The series 4, 6, 8, 12 is in proportion, since each element after the first one is equal to the sum of the previous element and 2 units.

b) The series 15, 45, 5, 25 is not in proportion, since it is an alternating series.

10) We determine the cost of 4 cans of juice by simple rule of three:

[tex]x = \frac{4\,cans}{6\,cans}\times 210[/tex]

[tex]x = 140[/tex]

4 cans of juice cost 140.

11) a) The ratio of her earning to her expenditure is:

[tex]x = \frac{150000}{150000-50000}[/tex]

[tex]x = \frac{3}{2}[/tex]

The earning to expenditure ratio is 3 : 2.

b) The ratio of her earning to her savings is:

[tex]x = \frac{150000}{50000}[/tex]

[tex]x = 3[/tex]

The earning to savings ratio is 3 : 1.

12) 1 meter equals 100 centimeters. Then, the given ratio is:

[tex]x = \frac{15\,cm}{200\,cm}[/tex]

[tex]x = \frac{3}{40}[/tex]

The ratio of 15 centimeters to 2 meters is 3 : 40.

PLEASE HELP ASAP!!!! ILL MARK BRAINLEST

Need correct answer only PLS
Which option identifies the sectors of the economy involved in the following scenario?
Joe owns a family farm in central Illinois. He goes to the bank for a loan for a new combine.

agriculture and services

services and industry

agribusiness and industry

agriculture and industry

The slope and Y-Intercept for y=-x+2

For the following equation, write two more equations, using
:-11 + x=7
Type your answer here...

Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69, 65, 87.
What is the mean height of Bella's corn stalks?
A. 69 cm
B. 75 cm
C. 78 cm
D. 80 cm
E. 81 cm

Matthew buys 13 uniforms for the baseball team. He pays $455 in total. What ratio shows the relationship of price to uniforms?

2Points
Select 2 possible answers.

Remember to reduce the ratio by the GCF

A
1 to 13

B
35 to 1

C
13 to 455

D
455 to 13

Please help!! Giving brainliest and extra points!! (click on photo)

A bakery is filling an order for 180 cupcakes. Jeff has baked and
decorated 75% of the cupcakes. How many cupcakes has been baked
and decorated?

5m+22-15n need answer

Point N is on line segment ABGiven AN = 14 and NB =21. Determine the length of the line AB.

All triangles are equal to ______ degrees

Complete the following
a)
3/5 = ./20
b)
./6=25/30

5% of the students in Mr. Ferris's class joined the
band. If 65 students joined the band, how many
students are there in Mr. Ferris's class?

there’s not abc or d :( but can someone help me?

please help i’ll give you brainlest pleas

please help very quick I will give brain list and follow you

What is the value of the expression? 8.5 - (-4.8) - 7

What is the value of (x)?​

5/6 -
7. Which measurements could not represent the side lengths of a right triangle? (TEKS 8.7C-R)
A 6 cm, 8 cm, 10 cm
B 12 cm, 35 cm, 37 cm
C 4 cm, 6 cm, 10 cm
D 10 cm, 24 cm, 26 cm
PLEASE HELP

How to simplify 1/2

Somebody help meeeee

{(4,7),(2,5),(6,0),(4,_)} If this is a relation
is a function, then what number must
fill in the blank?

F (x) = 3x+2 find f(-4)

Tell whether each relationship is a function

It took a car 4 days to travel 2686 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per hour)

3x + x - 7 = 10

What does x=

Write the equation of a line through (-1,-5) parallel to 3x-y=5, and in slope intercept form

Help me please with This no need to explain

Destiny types 20,420 words in 5 minutes. How many words does she type per minute?

What percent of a dollar is 0.28

Please help me with this equation, you are supposed to find x

i need le help...if u have 25 pieces of gum and you got 7 more pieces then subtracted 3 and added 16 what would it equal Im to tired and my brain hurts from the test to figure it out