A ratio is equal to 3:8 if the antecedent is 21 find the consequent​

Answers

Answer 1

Answer:

56

Step-by-step explanation:

To find the "consequent," write out and solve an equation of ratios:

  3         x

------- = ------

  8         21

Through cross-multiplication, this yields  8x = 63, so that x must be x = 63/8.

Alternatively, solve this modified version of the original equation for x:

  3         21

------- = ------

  8          x

Then 3x = 8(21), or x = 8(7), or x = 56.

Note that 21 and 56 are in the ratio 3:8


Related Questions

What is DM?

22 cm
30 cm
38 cm
76 cm

Answers

Answer:

38cm

Step-by-step explanation:

38 is the answer . hope it helps.

Answer:

c. 38 cm

Step-by-step explanation:

Nadia has a $15 gift card to an online music store. Each song at the store costs $0.99. The equation m = 15 - 0.99s represents the amount of money, m, Nadia has left on the gift card after buying 5 songs. a.


The independent variable is b.


How does the amount of money left on the card change for each extra song Nadia buys?


Show your work. and the dependent variable is​

Answers

Answer:

All I know is she had 10.05 left

Simplify using the distributive property: 5(2x + 7). Show all of your work.

Answers

Answer:

10x + 35

Step-by-step explanation:

Given

5(2x + 7) ← multiply each term in the parenthesis by 5

= 5(2x) + 5(7)

= 10x + 35

Answer:

10x+35

Step-by-step explanation:

5×2x=10x

5×7=35

=10x+35

Divide *° -3x– 10x+ 24 by X-2

Answers

Answer:

[tex] - 13 - \frac{2}{x - 2} [/tex]

Step-by-step explanation:

[tex] \frac{ - 3x - 10x + 24}{x - 2} [/tex][tex] \frac{ - 13x + 24}{x - 2} [/tex]

[tex] - 13 - \frac{2}{x - 2} [/tex]

Hope it is helpful...

MATH HELP PLEASE ANSWER ASAP

Answers

Step-by-step explanation:

QR = 1.5

TS = 2

TP = 3.8

RS = 1.4

PQ = 2.6

What is an equation of the line passing between(4, -6) and (12, -8)?*

Answers

Answer:

y= -1/4x - 5

Step-by-step explanation:

first you need to find the slope.

to do this you can use the equation: change in y/change in x which is also y2 - y1/x2-x1

-8 - (-6)/12-4

-2/8

-1/4 = slope

since the line's equation is y = mx + b, we still need to find the y-intercept. we can do this by just plugging in one of the points

-6 = -1/4(4) + b

-6 = -1 + b

-5 = b

so the final equation is y= -1/4x - 5

in a survey of 100 cars,47 were white,23 were blue and 30 were red.express each of these numbers as a percentage of the total.

Answers

Answer:

white- 47%   Blue-23% Red- 30%

Step-by-step explanation:

White cars- (47/100)*100= 47%

Blue cars- (23/100)*100=23%

Red cars- (30/100)*100=30%

A right triangle has side lengths d, e and f as shown below use these lengths to find cos x, tan x and sin x
SOMEONE HELP ASAP PLZ

Answers

Answer:

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

sin x = O/H

cos x = A/H

tan x  = O/A

where O stands for opposite, A for adjacent, and H for hypotenuse. So, for example, the sine of x is equal to the side opposite of angle x over the hypotenuse. The same goes for cosine and tangent. Using the diagram attached, we have the expressions of the trigonometric functions as shown below.

sin x = f/d

cos x = e/d

tan x = f/e

Step-by-step explanation:

The trigonometric ratio's as per given side length of a triangle are as follow,

cosx = f/e , sinx = d/e , and tanx = d/f.

Let us consider triangle name as ABC,

Measure of angle ABC = x degree

Measure of angle BAC = 90 degree

Side length AB = f

Side length AC = d

Side length BC = e

For angle x ,

AC is the opposite side , AB is the adjacent side, and BC is the hypotenuse.

cosx = adjacent side / hypotenuse

       = f / e

sinx = opposite side / hypotenuse

       = d / e

tanx  = opposite side / adjacent side

       = d / f

Therefore, the value of the trigonometric ratio for the given side length of a triangle are cosx = f/e , sinx = d/e , and tanx = d/f.

learn more about triangle here

brainly.com/question/29122914

#SPJ2

can someone please answer

Answers

Answer:

The answer is 49 degrees

Step-by-step explanation:

The total we are getting to is 180, we have 131. Subtract to find the missing number that makes it 180 which is 49 because 180 minus 131 is 49.

Answer:

x = 49 °

Step-by-step explanation:

These both angles are located at the straight line. So, the sum of both angles are 180 ° .

x + 131 ° = 180 °

subtract 131 ° from 180 °

x = 180° - 131 °

x = 49 °

A school sold a total of 250 tickets to a show. Adult tickets cost $7.25 and student tickets cost $5.50. At the end of the evening the amount of money
collected was $1,602.50. Write and solve a system of equations to determine the number of student tickets sold
В І ца
7.25x+5 5y=1,602.50
1 / 10000 Word Limit

Answers

Answer:

The system of equations is:

x + y = 250                         (1)

7.25x + 5.50y = 1602.50   (2)

with x = Adult tickets

       y= student tickets

Solution

Let's equation (1)

x+y=250

x=250-y (a)

subtitute x in aquation (2)

7.25(250 - y) + 5.50y=1602.50

1812.50 - 7.25y + 5.50y= 1602.50

1812.50 -1.75y = 1602.50

-1.75y = 1602.50 - 1812.50

-1.75y = -210 ↔multiply both sides by (-1) to remove the minus sign

y= 210/1.75

y= 120

Substitute y in equation (1)

x + 120 = 250

x= 250 - 120

x =130

Let's check our results in equation (1)

x + y =250

120 + 130= 250 ↔ 250 = 250

At the end of the evening they 120 students tickets and 130 adults tickets

Step-by-step explanation:

You can check the results in any of the equations

OMG DUE IN 40 MINUTESSSS!!

Answers

Answer:

17 1/3 52/3

Step-by-step explanation:

3x+y=38

3x+2y=52

-y=14

y=-14

3x+-14=38

3x-14=38

3x=38+14

3x=52

3x/3=52/3

x=171\3

17 is a whole number then 1 divided by 3 . thus is x

The circumference of a circle is 20 pi inches. What is the area in square inches of the circle express your answer in terms of pi

Answers

Answer:

314 c m 2

Step-by-step explanation:i think i dont know (sorry)

Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions

Answers

graph 1 - clue 3

graph 2- clue 2

graph 3- clue 4

graph 4 - clue 1

Answer:

Graph 1 - Clue 3 / Kareem

the points fits neatly in between the rest of the plot

Graph 2 - Clue 2 / Paloma

same reasoning as above, located in the middleof the other points. but note that y and x are in switched order

Graph 3 - Clue 4 / Jonah

(25,10) fits just nice right in the middle of the other points. note that written as an ordered pair, or point, x has to be on the left side inside the parentheses

Graph 4 - Clue 1 / Genevieve

just fitting into the pattern on the lower right end of the plot

Which of the expressions are equivalent to the one below? Check all that
apply.
2. (4+9)-(3.2)
A. (3.2)-(2.4) + (
29)
O B. (2+4). (2 + 9)-3.2
C. 2.4 +9-3.2
D.2.4+ (2.9) - (2.3)

Answers

Answer:

The answer is C because its the only one that adds up correctly

None of the given expressions are equivalent to (4 + 9) - (3 . 2).

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

We can simplify the given expression as:

(4 + 9) - (3 . 2) = 13 - 3.2 = 9.8

Now, we can check which of the given expressions is equivalent to 9.8:

A.

(3 . 2) - (2.4) + (2.9) = 3.7

(not equivalent)

B.

(2 + 4) (2 + 9) -3 . 2 = 84.8

(not equivalent)

C.

2.4 +9 - 3.2 = 8.2

(not equivalent)

D.

2.4 + (2.9) - (2.3) = 3.0

(not equivalent)

Therefore,

None of the given expressions are equivalent to (4 + 9) - (3 . 2).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

The complete question.

Which of the expressions is equivalent to the one below?

Check all that apply.

(4 + 9) - (3 . 2)

A. (3 . 2) - (2.4) + (2.9)

B. (2 + 4) (2 + 9) -3 . 2

C. 2.4 + 9 - 3.2

D. 2.4 +  (2.9) - (2.3)

A farmer has developed a new type of fertilizer. This new fertilizer costs 20
percent more to produce than the old fertilizer but has better results: The
same land now produces 25 percent more crops each year.
Which statement best describes one way the farm will be affected by using
this new fertilizer?
A. The farm's marginal cost for fertilizer will decrease.
B. The farm's marginal cost for fertilizer will increase.
C. The farm's opportunity cost for using fertilizer will decrease.
D. The farm's opportunity cost for using fertilizer will increase.

Answers

Answer:

A

Step-by-step explanation:

Marginal cost is the change in total cost as a result of increasing output by one unit

Marginal cost  = Δcost / Δquantity

0.2 / 0.25 = 0.8

The marginal cost would decrease because the change in output is higher than the change in total cost

Marginal benefit would increase

Opportunity cost is the cost of the opportunity forgone when one alternative is chosen over other alternatives. There is no enough information given to determine the impact on opportunity cost

Need help with number one please

Answers

Answer:

answer is 4 because EJ is 4, and GJ is congruent to EJ meaning they are the same size.

An entreprenuer sold a damage fan for 4560 thereby incurring 20% on the cost price determine the cost of the fan

Answers

Answer:

5,700

Step-by-step explanation:

Let

x = total cost of the fan

The entrepreneur incurred 20% on the cost price

Selling price = 4560

Therefore, The selling price = 80% of the total cost of the fan

4560 = 80% of x

4560 = 80/100 * x

4560 = 0.8 * x

4560 = 0.8x

x = 4560/0.8

x = 5,700

x = total cost of the fan = 5,700

what do you means by. India gate

Answers

Answer:

The India Gate (formerly known as the All India War Memorial) is a war memoria)

Step-by-step explanation:

it's a place

PLEASEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

The correct algebraic expression is [tex]8+2c[/tex] or also, [tex]2c+8[/tex] because they are the same thing.

Step-by-step explanation:

Hope this helps and,

pls let me know if it was correct.

The triangles shown below must be congruent.?

True or false

Answers

Answer:

True

Step-by-step explanation:

Angle-Angle-Side congruency

Answer:

A. True

Step-by-step explanation:

Since, two corresponding angles of the triangles are congruent. So, third angle will automatically be congruent. Hence, by AAA postulate both the triangles will be congruent. Therefore. Option A. TRUE is the correct answer.

BRANLIEST FOR CORRECT ANSWER ASAP

Complete the statement about the tables below. Then, choose a rule for each.

x y
0 5
1 7.5
2 11.25
This table represents a(n)
relationship.

Rule:

x y
0 -6
1 12
2 30
This table represents a(n)
relationship.

Rule:

Answers

Answer:

Step-by-step explanation:

First rule:-  Each value of y after the first one is obtained by multiplying the previous  value by 1.5, ( Note  11.25 / 7.5 = 1.5 and 7.5 / 5 = 1.5).

The relationship is : a(n) =  5 * 1.5^(n-1)

Second Rule:-  Note:-  12 - (-6) = 18 and 30 - 12 = 18.  So we add 18 to get the next term in this rule.

Relationship is : a(n) = -6 + 18(n - 1).

Please answer thiss!!!!

Answers

Answers:

a = 1/3

b = -6

c = 7

======================================================

Explanation:

The terms of the given expression rearrange to [tex]\frac{1}{3}x^2 - 6x+7[/tex] which is now in standard form (the exponents decrease when moving from left to right).

We can see that

a = 1/3

b = -6

c = 7

after matching that with the ax^2+bx+c form.

there are four consecutive even numbers. The second number is represented by x. find the sum of four numbers in term of x

Answers

Answer:

Sum of the four numbers in terms of x would be 4x+4

Step-by-step explanation:

x-2 + x + x+2 + x+4 = sum

4x+4 = sum

Please help the question is in the picture.

Answers

Answer:

[tex]\text{A. }\frac{5}{6}\pi x^2[/tex]

Step-by-step explanation:

The area of a sector with measure [tex]\theta[/tex] is equal to [tex]r^2\pi\cdot \frac{\theta}{360}[/tex]

Since there are 360 degrees in an angle, the measure of sector K must be 360-60=300 degrees.

What we know:

[tex]\theta[/tex] of [tex]300^{\circ}[/tex] [tex]r[/tex] of [tex]x[/tex]

Thus, the area of the sector is [tex]x^2\pi\cdot \frac{300}{360}=\boxed{\text{A. }\frac{5}{6}\pi x^2}[/tex]

Need help quick someone help!

Answers

X = 6

To solve this problem, you multiply both sides by 3. Next you divide both sides by 2
X=6 is the answer to the question

Why is this a function?
X Y
3. -1

0.
0
-3

-6. 2
(3 and 0 are both assigned to 0)

Answers

This is a function because each element in the domain has one and only distinct image in the co-domain.

What is the value of x ?

Answers

Answer:

x = 20

Step-by-step explanation:

90 = 60 + (x + 10)

90 - 60 = x + 10

30 = x + 10

30 - 10 = x

20 = x

Answer:

x = 20

Step-by-step explanation:

From the diagram we see that ∠60° and ∠(x + 10)° are supplementary, therefore we know that the following is true...

60° + (x + 10)° = 90°

Now we just solve the equation and get the following...

60° + (x + 10)° = 90°

x° + 10° = 30°

x° = 20°

x = 20

*BRAINLIEST**

Would anyone be willing to give a quick sketch of what this should look like?

Answers

Answer:

There is your answer. Hope this helps

find the equation of the straight line passing through 4,1 with a gradient of 1

Answers

Answer:

y = x - 3

Step-by-step explanation:

If the gradient (slope) of the line is m, then the point-slope form of the appropriate equation  is y - k = m(x - h).  If the gradient is 1, then

                                         y - k =   x - h

Since this line passes through (4, 1), we have

                                          y - 1 = x - 4, or

                                            y = x - 3

The average height of middle school students at Seton Grove School is found to be 5.25 feet. Which sample makes this generalization valid?

Answers

Answer:

every other student who enters the school

Step-by-step explanation:

It is given that the middle school students have an average height of 5.25 feet. The students belongs to Seton Grove School.

It means that every student who comes to this school or enters the school has a height that is around 5 feet or more.

Thus we can say that every other student who enters the school has a average height of 5.25 feet.

This sample makes the generalization about the heights of the school students valid.

Answer:

c

Step-by-step explanation:

correct on edmentum / plato

Other Questions
calculate the oxidation numbers of the elements in this equation 2 Al2O3 4 Al + 3 O2 define pressure snd state its SI units to I ONLY HAVE 5 minutes HELP!!!Alvarez has $650 deposited into his bank account. The account earns simple interest of 6,5% per year. No other money is added or withdrawn from the accountfor a period of four years. What is the total amount of money in the account after four years?$143O $685.75C $793D 8805.24 Data concerning Lemelin Corporation's single product appear below: Per Unit Percent of Sales Selling price $ 230 100 % Variable expenses 115 50 % Contribution margin $ 115 50 % The company is currently selling 7,000 units per month. Fixed expenses are $581,000 per month. The marketing manager would like to introduce sales commissions as an incentive for the sales staff. The marketing manager has proposed a commission of $20 per unit. In exchange, the sales staff would accept a decrease in their salaries of $113,000 per month. (This is the company's savings for the entire sales staff.) The marketing manager predicts that introducing this sales incentive would increase monthly sales by 300 units. What should be the overall effect on the company's monthly net operating income of this change help me with this email please (////) whats the firsts presidents name? idea principal sobre el realismo en la literatura espaola how to write a welcome address to teachers and students You throw a football straight up. Air resistance can be neglected. When the football is 4.00 mm above where it left your hand, it is moving upward at 0.500 m/sm/s. What was the speed of the football when it left your hand Triangle ABC ~ Triangle DEF. Measure of angle A = 30 degrees and measure of angle F = 65 degrees. AB=20, DE = 35, EF= 28.Find measure of angles B, E, D and C and the length of BC. What can you infer about Walter and Beneatha,based on their behavior in this scene?Walter is serious, while Beneatha is a practical joker.Walter and Beneatha are both very concerned with civilrights.Walter is happy-go-lucky, while Beneatha is moreserious.O Walter is judgmental of Beneatha's desire to get aneducation.I need help. What are a few things you did last month? In Spanish write at least 5 sentences (using a total of 5 different -ER and -IR verbs) to tell what you did el mes pasado. Be sure to use the correct forms of the preterite tense according to the verb. OJO! Most -IR verbs are irregular so be careful with their conjugations. Use any of the following regular -IR verbs:abrir, asistir, cumplir, decidir, describir, decidir, escribir, persuadir, recibir, subir, vivirYou will be graded on (a) correct use of the preterite tense, (b) vocabulary usage, and (c) overall quality and accuracy of your response. calculate the mass m of 6.50 moles n of kbr m Whats the ratio of 20 to 3 Geometric isomers have profound effects on the physical properties of compounds. Naturally occurring fatty acids generally adopt a cis geometry. What's one physical property affected by this geometry? (HELP ASAAAP!)A) ColorB) TasteC) SmellD) Melting point An organization's Finance Director is convinced special malware is responsible for targeting and infecting the finance department files. Xander, a security analyst, confirms the files are corrupted. Xander is aware the Director possesses privileged access but not the security knowledge to understand what really happened. What does Xander believe happened 15 POINTS! PLEASE HELP! WILL GIVE BRAINLIEST!Which expression should you simplify to find the 90% confidence interval for a sample of 36 people with a mean of 64 and standard deviation of 4? O +2 A. 36 2. VOA O B. 64 +2 4 V36 O C. 64 +1.645. 4. V36 4 O D. 36 +1.645 V64 SUBMIT The student adds 0.0010 mol of NaOH(s) to solution Y, and adds 0.0010 mol of NaOH(s) to solution Z. Assume that the volume of each solution does not change when the NaOH(s) is added. The pH of solution Y changes much more than the pH of solution Z changes. Explain this observation. When the ATP synthase molecules are open, the hydrogen ions move out ofthe thylakoid. How does the cell use the kinetic energy of the moving ions? PLEASEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP