Identify the constant of
proportionality for the
table below.

Answer:

Ben $19 Amy $22

Step-by-step explanation:

$10+ ($3*3)=$19

$13+($3*3)=$22

Answer:

13. 17/20

14. 11/100

16.) 4 3/10

17.) 7 3/4

19.) -1 3/5-

20.) 3/8

22.) -5 3/5

23.) 1 3/25

26.) 85.33%

Answer:

13. 17/20

14. 11/100

16. 4 3/10

17. 7 3/4

19. 1 3/50

20. 3/8

22. -5 3/5

23. 1 3/25

25. 6.34%

26. 85.33%

Answer:

Step-by-step explanation:

5/2

Answer:

c

Step-by-step explanation:

Answer: 150/100

Step-by-step explanation:

Answer:

16

Step-by-step explanation: your welcome

Answer:

Step-by-step explanation:

wait why cant you do this yourself its just two equtions with the same answer that you can make if i make it than its not yours

Answer:

A. 19.2

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

Exact Form:

√

370

Decimal Form:

19.23538406

…

Answer:

D. 360 cubic cm

Step-by-step explanation:

Answer:

D. 360 cubic cm

Step-by-step explanation:

Use l*w*h

12*6*5

= 360

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.

Answer: Number of pizzas out of 4000 that is expected to be pan size

= 4000 * 168 / (326 + 309 + 247 + 168)

= 640

Answer:

The answer is  11

Step-by-step explanation:

Answer:

Más información por favor

Step-by-step explanation:

Given:

A department store buys 200 shirts at a cost of $3,600 and sells them at a selling price of $20 each.

To find:

The percent markup.

Solution:

A department store buys 200 shirts at a cost of $3,600. So, the cost price of each shirt is

[tex]C.P.=\dfrac{3600}{200}[/tex]

[tex]C.P.=18[/tex]

So, the cost price(C.P.) is $18 each.

The selling price(S.P.) is $20 each.

Now,

[tex]\text{Percent markup}=\dfrac{S.P.-C.P.}{C.P.}\times 100[/tex]

[tex]\text{Percent markup}=\dfrac{20-18}{18}\times 100[/tex]

[tex]\text{Percent markup}=\dfrac{2}{18}\times 100[/tex]

[tex]\text{Percent markup}=\dfrac{1}{9}\times 100[/tex]

[tex]\text{Percent markup}\approx 11.11\%[/tex]

Therefore, the markup percent is 11.11%.

Answer:

Jesse should buy a new bag in 16 days.

Step-by-step explanation:

He uses 18.75 grams a day.

We can multiply the amount of grams by the amount of days.

18.75 x 16 = 300

He stops using the bag when he uses 300 grams.

So he uses 1 bag for 16 days

1 bag can last for 16 days.

Answer:

Jesse should buy a new bag in 16 days

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

6*2 = 12

28 - 12 = 16

16/2 = 8

Answer:

60 is in the middle of 50 and 70 try 60

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

x = 9.6 meters

y = 20.98 meters

Shadow length = 11.38 meters

Step-by-step explanation:

By applying tangent rule in right triangle ABD,

tan(21)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(21) = [tex]\frac{x}{25}[/tex]

x = 25(tan 21)

x = 9.5966

x ≈ 9.60 meters

Similarly, by applying tangent rule in ΔABC,

tan(40)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(40)° = [tex]\frac{BC}{AB}[/tex]

tan(40)° = [tex]\frac{y}{25}[/tex]

y = 25(tan 40°)

y = 20.98 meters

Length of the shadow of the man = y - x

                                                        = 20.98 - 9.60

                                                        = 11.38 meters

Answer:

n= -4, 3

Step-by-step explain

n^2 + n = 12

n^2 + n - 12 = 0

n^2 + 4n - 3n - 12 = 0

n(n+4) -3(n+4) = 0

(n-3) (n+4) = 0

n-3 = 0 = n=3

n+4 = 0 = n=-4

Answer:

The value of x is -1

Step-by-step explanation:

Answer:

reduce 3/6 to lowest terms which would be, 1/2 because 3 goes into 3 once and 3 goes into 6 twice.  

Making your equation simplified to

1/2 + 1/2

which is equal to 1

1/2 + 1/2 = 1

Step-by-step explanation:

Hope this helps! Have a fantastic day and please mark brainliest

Answer:

3/6+1/2

find the lcm of 6&2 = 6

3+3/6= 6/6 = 1

Answer: d= -9

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Because it occurs the most in the set of numbers.

Answer:

Step-by-step explanation:

8x^2 - 8x + 2

2(4x^2 - 4x + 1)

2(2x - 1)(2x - 1) or 2(2x - 1)^2

answer is C

The complete factorization of [tex]8x^2 - 8x + 2[/tex] will be  [tex]2(2x-1)^2[/tex] .

Factorization is a process consists of writing a number or another mathematical object as a product of several factors solving it into other factors.

We have,

[tex]8x^2 - 8x + 2[/tex]

Using the mid term splitting method;

[tex]=8x^2-4x-4x+2[/tex]

[tex]=4x(2x-1)-2(2x-1)[/tex]

[tex]=(4x-2)(2x-1)[/tex]

[tex]=2(2x-1)(2x-1)[/tex]

[tex]=2(2x-1)^2[/tex]

So, the factorization of the given expression is given in option [tex](c)[/tex]  i.e.   [tex]2(2x-1)^2[/tex] .

Hence, we can say that the complete factorization of [tex]8x^2 - 8x + 2[/tex] will be  [tex]2(2x-1)^2[/tex] .

To know more about factorization click here

https://brainly.com/question/11994062

#SPJ2

Answer:

4 hours

Step-by-step explanation:

1 3/4+ 2 1/4= 3 4/4

3 4/4 is equal to 3 and 1

3+1=4