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

Evaluate the expression 4 to the power of 3 ÷ (7 − 3) × 2.

Answers

Answer:

5.0625 is 1.5 to the fourth power

Answer:

8

Step-by-step explanation:

4 to the power of 3 is 64.

64 ÷ (7 − 3) × 2

64 ÷ (4) × 2

64 ÷ 8

8

Your answer is 8.

I hope this helps, have a nice day.

Using the information that 6.7 x 52 = 348.4
find the value of
(i) 6.7 x 520
(ii) 67 x 0.52
(iii) 3484/ 5.2

Answers

Answer:

1.6.7*520=3484

Step-by-step explanation:

( I).67*0.52

convert that 0.52 to proper fraction

67×13/25=871/25

which is=34.84

(III). 3484/5.2

convert 5.2 to improper fraction ❤️

=52/10=26/5

3484/26/5=3484×5/26=670

Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?



(__,__ )

Answers

Answer:

If gas costs $3.75 per gallon and Berto has $12, then he can purchase 12/3.75 gallons. This is approximately 3.2 gallons. So the coordinate on this line would be (3.2, 12).

Actually... It's from web

the answer is (3.2,12)

What is the volume of the triangular prism?

Answers

Answer:

48 in³

Step-by-step explanation:

the volume = ½×3×4 × 8 = 48 in³

can anyone help with this? find st and rt​

Answers

Answer:

ST= 5.2

RT= 23.6

Step-by-step explanation:

Answer:

ST= 5.2

RT= 23.6

Step-by-step explanation:

tina works 15 hours a week (monday to friday). last week she worked 3 1/2 hours on monday, 4 hours on tuesday, 2 1/6 hours on wednesday and 1 1/2 on thursday. how many hours did she works on fridays​

Answers

Answer:

Tina worked [tex]3 \frac{5}{6}[/tex] hours on Friday.

Step-by-step explanation:

To solve for how many hours Tina worked on Friday you have to add up all the hours worked then subtract that from 15 hours to get the remainder.

Step 1 : Add up all the hours worked so far.

[tex]3\frac{1}{2}[/tex] + 4 + [tex]2\frac{1}{6}[/tex]  + [tex]1\frac{1}{2}[/tex] = ?

We need to turn these mixed numbers into improper fractions first so we can add. Let's turn them all into sixths.

[tex]3 \frac{3}{6}[/tex] + 4 + [tex]2\frac{1}{6}[/tex] + [tex]1 \frac{3}{6}[/tex] = [tex]11\frac{1}{6}[/tex]

Allright, so now we know that Tina already worked 11 and 1/6 hours already, so we subtract that from 15 to find how many hours she worked on Friday.

Step 2 : Subtract [tex]11\frac{1}{6}[/tex] from 15.

15 - [tex]11\frac{1}{6}[/tex] = [tex]3 \frac{5}{6}[/tex]

Therefore Tina worked [tex]3 \frac{5}{6}[/tex] hours on Friday.

Hope this helps, please mark brainliest if possible. Have a great day.

15 cm
10 cm
o
10 cm
Diagram NOT accurately drawn
The diagram shows a sector of a circle, centre 0, radius 10 cm.
The arc length of the sector is 15 cm.
Calculate the area of the sector.

Answers

Answer:

221cm squre

Step-by-step explanation:

Write as a single fraction in its simplest form.

how do you do this?

Answers

Answer:

(-12x - 25) / (x + 3) (x - 5)

Step-by-step explanation:

1 - 2x/(x+3) + (x+3)/(x - 5)

= {(x + 3)(x - 5) - 2x(x - 5) + (x + 3)(x - 3)} / (x + 3) (x - 5)

= {(x² -5x + 3x - 16) - (2x² + 10x) + (x² - 3x + 3x - 9)} / (x + 3) (x - 5)

= x² - 2x - 16 - 2x² - 10x + x² - 9 / (x + 3) (x - 5)

= x² - 2x² + x² - 2x - 10x - 16 - 9 / (x + 3) (x - 5)

= (-12x - 25) / (x + 3) (x - 5)

What is the equation of the line

Answers

The answer is
(0,0)
Goodluck

Which is NOT a proposition
A. Marlon is eating his lunch
B. Will you be at school tomorrow.
C. The earth is rectangular
D. 10 + 5 = 15

Answers

Answer:the answer is b

Step-by-step explanation:reason being that the question will you be at school tmrw?cat be given a choice to say wether it’s true or false so Yh...I don’t know if that helped

work out the m and c for the line: y=x-7

Answers

Answer:

Step-by-step explanation:

Compare the given y = x - 7 to the general slope-intercept formula

                                 y = mx + b

Here the slope is 1 and the y-intercept, b, is -7.

Answer:

Step-by-step explanation:

Slope - y intercept form : y = mx +c

y = x - 7

m = 1

c = -7

Write an equation that passes through the points (3, 6) and (1,-1)

Answers

Finding gradient:

m = y2 - y1
x2 - x1

= -1 - 6
1 - 3

= -7 / (-2)
= 7/2

y = m(x - x1) + y1
y = 7(x - 3) + 6
2
2y = 7x - 21 + 12
2y = 7x - 9

Answer:

y = 7/2x - 9/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - 6 / 1 - 3

-7 / -2

7/2

y = 7/2x + b

-1 = 7/2(1) + b

-1 = 7/2 + b

-9/2 = b

Please help me with this question...​

Answers

Answer:

my answer is in this picture. sorry about my presentation and English

Given 4x2 – 7x = -3, what are the solutions??

Answers

Step-by-step explanation:

4*2-7x=-3

8-7x=-3

-7x=-3-8

-7x=-11

x=-11/-7

x=1.5714...

Answer:

x = {3/4, 1}

Step-by-step explanation:

4x² - 7x = -34x² - 7x + 3 = 04x² - 4x - 3x + 3 = 04x(x - 1) - 3(x - 1) = 0(x - 1)(4x - 3) = 0x - 1 = 0    |  4x - 3 = 0x = 1          |  x = 3/4

Question and choices are in the photo please explain the answer

Answers

Step-by-step explanation:

but sorry i can't get the answer of (2x-1) =3 (x+5) because the answer of this came -16

first answer gets most brainley

Answers

Answer:

What are we supposed to do on this

Step-by-step explanation:

Answer:   the dilated point will be 2 units at the right of P, and 3 units above P.

Step-by-step explanation:

Write the number 10 000 000 as a power of 10.

Answers

Answer:

10⁷

Step-by-step explanation:

Just count the number of zero and raise the counted number of zero.

What additional information is needed to prove the triangles congruent by SSS

Answers

Answer:

Angle a = Angle D

Answer:

A: Angle A  Angle D

Step-by-step explanation:

Gianna draws a rectangle on a piece of grid paper. She wants to know the side length of each grid square. Which equation can Gianna use to find the side length, s , of one square.

Answers

Answer: the answer is 213.4

Stepby-step explanation:

First you multiply 10.8 and 19.8 then your done

Answer:

10.8 ÷ 6

1.8

Step-by-step explanation:

Jenna sells apples and pears. If 20 apples and 60 pears re sold every hour, there will be 80 pears when all the apples are sold. If 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold. How many pears are there at the stall?

Answers

Answer:

There are 1,360 pears.

Step-by-step explanation:

Suppose that there are P pears and A apples.

We know that:

"If 20 apples and 60 pears are sold every hour, there will be 80 pears when all the apples are sold."

Suppose that all of these are sold after N hours, then:

20*N = A

80*N = P - 80

We also know that:

"if 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold."

60*N = A

20*N = P - 400

Then we have four equations:

20*N = A

80*N = P - 80

60*N = A

20*N = P - 400

From the first one and the second one, we get:

20*N = A = 20*N = P - 400

A = P - 400

Now we have 3 equations:

80*N = P - 80

60*N = A

A = P - 400

Now we can just replace the third equation into the second one, then we get:

60*N = A = P - 400

Now we have two equations:

80*N = P - 80

60*N = P - 400

Now, remember that we want to find the number of pears, so we want to find the value of P.

To do it, we can take the quotient of the two equations, so we get:

(80*N)/(60*N) = (P - 80)/(P - 400)

8/6 = (P - 80)/(P - 400)

Now we can solve this for P

(8/6)*(P - 400) = P - 80

(8/6)*P - (8/6)*400 = P - 80

(8/6)*P - P = (8/6)*400 - 80

(2/6)*P = (8/6)*400 - 80

P = (6/2)*( (8/6)*400 - 80 )

P = 3*( (8/6)*400 - 80 ) = 1,360

There are 1,360 pears.

Please help me on this problem, im struggling

Answers

Answer:

a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

in fact if we look at the graph we can see that sausages are 7.5 % and mushrooms 5%, while in the table this datas are inverted.

pls pls pls help don't ignore imma fail

Answers

Answer:

6 as b

7 as a

Step-by-step explanation:

if indeed the scale is 3 to 1, this is correct! the answer is B

What is the value of x?

Answers

Answer:

67.5

Step-by-step explanation:

The sum of the interior angles is 540, therefore

540 = 90 + 4y

540 - 90 = 4y

450 = 4y

450 / 4 = y

112.5 = y

X and Y together equal 180, therefore

180 = x + 112.5

180 - 112.5 = x

67.5 = x

Logx-1(343)=3 solve for base x

Answers

Answer:

should be 8 !

Step-by-step explanation:

it just is

I need it fast plss help someone help​

Answers

56 over 15

hope this help yoooooooooooooooooooo

Answer:

22/15

Step-by-step explanation:

(1/3 + 2/5) x (2 - 1/2) ÷ 3/4

=(5/15 + 5/15) x (4/2 - 1/2) ÷ 3/4

=11/15 x 3/2 ÷ 3/4

=11/15 x 3/2 x 4/3

=22/15

Hope this helps! Have a nice day!

What does b stand for in this equation?

3b=12

A 1

B 2

C 3

D 4

Answers

Answer:

4

Step-by-step explanation:

3b=12

Divide each side by 3

3b/3 =12/3

b =4

Answer:

D. 4

Step-by-step explanation:

Given,

3b = 12

=> b = 12 ÷ 3

=> b = 4 (Ans)

Using laws of exponents,

Answers

The answer is :

- i

I hope this helps

Answer:

-i

Step-by-step explanation:

just did it on edg 2021

What is the length of Line segment A C?

3 ft
4 ft
18 ft
12 ft

On edge unity pls help

Answers

Answer:

4

Step-by-step explanation:

because its 4

The length of Line segment AC is 12ft.

Similar triangles

The given triangle ABC is similar to triangle BMN

The length of AM = BM = 4ft

The length AB = BM + AM = 4 ft + 4ft = 8ft

The length of Line segment AC is calculated by using similar triangle proportions as follows;

[tex]\frac{AB}{BM} = \frac{AC}{MN} \\\\\frac{8}{4} = \frac{AC}{6} \\\\2 = \frac{AC}{6}\\\\AC = 2(6)\\\\AC = 12 \ ft[/tex]

Learn more about similar triangles here: https://brainly.com/question/11899908

PLEASE PLEASE PLEASE SOMEONE HELP ME THIS IS DUE TODAY

EXPLAINING YOUR ANSWER = BRAINLIEST

What is m∠E?

Answers

Answer:

try 144

Step-by-step explanation:

m<E is basically just ot asking you to find the angle of E, i think :').

And since all angles equal to 180, 180-36=144

(hope ots right)

What is the surface area and volume of this shape?

Answers

Answer:

894.14 mm^2.

Step-by-step explanation:

i did this.

I think it’s c I hope that helps
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