the sum of 2 numbers which are in a ratio 2:5 is 21 what are the numbers​

Answers

Answer 1

Ratio = 2 : 5

Numbers = 2x & 5x

[tex]2x + 5x = 21 \\ 7x = 21 \\ x = 21 \div 7 \\ x = 3[/tex]

Numbers :-

2x = 2 × 3 = 6

5x = 5 × 3 = 15.

The numbers are 6 & 15.


Related Questions

How to solve x/m = n/p. Solve for x. Please include steps for solving. Thank you

Answers

Answer:

[tex]x=\frac{n}{p}m[/tex]

Step-by-step explanation:

Since we have two variables on the left side (x and p), and they are being divided, we need to do the opposite in order to get it to the other side. Therefore, we multiply both sides of the equation by m.

Doing that, we get

[tex]\frac{x}{m} m=\frac{n}{p}m\\\\\\So,x= \frac{n}{p}m\\[/tex]

solve the following system using substitution y=x^2+8x+12, y=-2x-13

Answers

Step-by-step explanation:

Given equations :-

y = x²+ 8x + 12y = 2x - 13

Substitute (2) in (1) :-

2x - 13 = x² + 8x +12x² + 8x + 12 - 2x + 13 = 0 x² + 6x + 25 = 0 x = -6±√6²-4*1*25 /2*1 x = -6 ±√36-100/2 x = -6±√-64 / 2 x = -6 ± 8i / 2 x = -3 ±4i

Please help with question got stuck

Answers

Answer:

y=4x

Step-by-step explanation:

45 percent of 74 is the same as 30 percent of what number?

Answers

Answer:

it's 60.81 i just had the same question too :)


help me asap!!!!!!!!

Answers

Answer:

the last option

Step-by-step explanation:

QUIZ:
Add Signed Decimals
Add.
-2.34 + (-1.052)
Enter your answer in the box.

Answers

When I solved this I got -3.392

Answer:

-3.392

Step-by-step explanation:

Math-way

In which quadrant does the point (3 , 19) lie?

A.
Quadrant I

B.
Quadrant II

C.
Quadrant IV

D.
Quadrant III

Answers

Answer:

A.

Quadrant I

Step-by-step explanation:

Quadrant I= Both co=ordinates positive.

I need to turn this in before 11:59!!!!!!
Solve for x.
4.0 – 3
3
= 7
Enter your answer in the box.
X=

Answers

Answer:

I'm sorry if its incorrect

Answer:

x=6

Step-by-step explanation:

answer is in the photo

solve log2 base x + log4 base x + log8 base x = 12 ?​

Answers

Answer:

Step-by-step explanation:

Help very urgent, . . .

Answers

Answer: 3.1

Step-by-step explanation:


The answer is 3.1 hope this helps

The figure shows how the yard lines on a football field are numbered. The goal lines are labeled G. A referee was standing on a certain yard line as the first quarter ended. He walked 41
3
4
yards to a yard line with the same number as the one he had just left. How far was the referee from the nearest goal line? Express your answer as a simplified mixed number.

The referee was BLANK yards away from the goal line before moving.

Answers

YOU WILL DO YOU GOOD LUCK

Step-by-step explanation:

Ava is thinking of a four-digit number described below.

1. The value of the digit in the hundreds place is 100.
2. The value of the digit in the ones place is 3.
3. The value of the digit in the thousands place is 4,000.
4. The value of the digit in the tens place is 70.
What number is Ava thinking of? Enter your answer in the box.

Answers

4173

Hope this helped you- have a good day bro cya)

Hundreds place = 1

Ones place = 3

Thousands place = 4

Tens place = 7

Number: 4173

Hope this helps!! :)

Ricardo calculates a line of best fit for a data set with integer x-values 1 through 6. Complete the sentence with the correct word.
Using a line of best fit with the equation y = -3x + 21 to predict the value of y when x = 10 is an example of Choose...

causation
interpolation
extrapolation
correlation

Answers

Answer:

Step-by-step explanation:

D

what is the product of the roots of quadratic equation?​

Answers

Product of the roots = c/a = c

Hope this helped you- have a good day bro cya)

The admission fee at an amusement park is $6.50 for children and $15.00 for adults. On a certain day, 337 people entered the park, and the admission fees collected totaled $3,423.00. How many children and how many adults were admitted?

Answers

Answer:

192 children and 145 adults were admitted.

Step-by-step explanation:

Let c represent the amount of children and let a represent the amount of adults.

Total fees for children = (Fee for one child) x (Amount of children) = 6.5c

Total fees for adults = (Fee for one adult) x (Amount of adults) = 15a

Total fees = Total fees for children + Total fees for adults

3423 = 6.5c +15a

We know that the amount of people who entered the park was 337. Therefore a+c=337, which means a=337-c.

Sub this in to the equation above to get:

3423 = 6.5c +15 (337-c)

3423 = 6.5c + 5055 - 15c

-1632 = -8.5c

c = 192

So there were 192 children.

Since a=337-c and c=192, a=337-192=145. So there were 145 adults.

If the sales tax rate is 7.8%, what will be the amount of sales tax on a $74 calculator?
State your answer in terms of dollars, rounded to the nearest cent
Do not include a $ sign with your response.

Answers

Answer:he sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.

Step-by-step explanation:

will this help

Eloise rides her bike1 7/10 miles on Wednesday and 1 5/10 miles on Thursday. How many miles does Eloise ride her bike altogether? Enter your answer as a mixed number in the simplest form

Answers

Answer:

3 2/10

Step-by-step explanation:

start with an equation:

1 7/10+1 5/10 = ?

convert mixed fractions into improper fractions:

17/10+15/10 = ?

add:

32/10

simplift:

3 2/10

NO LINKS!!!

Absolute Value: y = |x|

Shape:
Domain:
Range:
Locater point:​

Answers

Answer:

Given function:

y = |x|

An absolute value function has a shape called V- shape.

Domain: All real numbers x ∈ { -∞, +∞)

Range: All numbers greater than the y- coordinate of the vertex

y ≥ 0 or y ∈ [0, +∞)

Locator point is the vertex which is at (0, 0)

Please help me fast thank you for your help I’ll give 50 points

Answers

Answer:

C

Step-by-step explanation:

Answer:

It's option 3

Step-by-step explanation:

Find f(0) and f(6)

f(x)= x^2+10x+72/x^2-12x+36

Answers

Answer:

f(0) = 2     f(5) = 147

Step-by-step explanation:

f(0) = (0²+10·0+72)/(0²-12·0 + 36)   Substitute 0 for x and solve.

      = 72/36

       = 2

f(5) = (5²+10·5+72)/(5²-12·5 + 36)      Substitute 5 for x and solve.

     = (25 + 50 + 72)/(25 - 60 +36)

     = 147/1

      = 147

I'll give Brainliest, I need this now. :D​

Answers

Answer:

I think it's 6:3=18:9=54:27

Step-by-step explanation:

I hope this helps!

William has a lemonade stand. Today he made $89.62 in lemonade sales and one third that amount in cookie sales. How much money did William make altogether?

Answers

Answer:

$119.49 (rounded to the nearest cent.)

Answer: 119.4933333 would be the actual answer but rounded to the nearest cent it would be 119.49

89.62/3 = 29.8733333....... 89.62 + 29.8733333 = 119.4933333

This​ week, 951 people went to the beach. Last​ week, 1,173 people went to the beach. The number of people who went to the beach fell by what​ percent?
HELP ME PLS

Answers

It fell by 19%
Use 1173 as your total and then find the percent from 951 and subtract from 100 and that’s the percent that fell

For each pair of functions f and g below, find S (8 (x)) and
Please help

Answers

9514 1404 393

Answer:

  (a) f(g(x)) = g(f(x)) = x; functions are inverses

  (b) f(g(x)) = g(f(x)) = x +4; functions are not inverses

Step-by-step explanation:

(a)

f(g(x)) = f(1/(6x)) = 1/(6(1/(6x))) = 1/(6/(6x)) = 1/(1/x)

f(g(x)) = x

__

g(f(x)) is the same, because f(x) = g(x).

g(f(x)) = x

f and g are inverses of each other

__

(b)

f(g(x)) = f(x +2) = (x +2) +2

f(g(x)) = x +4

__

g(f(x)) is the same, because f(x) = g(x).

g(f(x)) = x+4

__

f and g are not inverses of each other

A wire 18 cm long is cut into two pieces. The longer piece is 6 cm longer than the shorter piece.

Find the length of the shorter piece of wire

Answers

The long piece is 12” and the short one is 6”.

3x−(2x+1) simplify the expression

Answers

Solution:

[tex]3x - (2x + 1) \\ = 3x - 2x - 1 \\ = x - 1[/tex]

Answer:

x - 1

Answer: x-1

Step-by-step explanation: in the picture

On a piece of paper, graph y-3 > 2x + 2. Then determine which answer
choice matches the graph you drew.
A
B
с
D
56(0.5
56(0.5)
56(0,5)
5°(0,5
-5 (-3,-1)
5
-5 (-3,-1)
5
5 (-3,-1)
5
6 (-3,-1)
5
-5
A. Graph A
B. Graph B
c. Graph C
D. Graph D

Answers

9514 1404 393

Answer:

  C.  Graph C

Step-by-step explanation:

All of the graphs show the boundary line with the correct slope and y-intercept. To figure which graph, you can ignore everything except "y" and the inequality symbol. That means we're looking at ...

  y >

So, the values of y that are solutions are greater than those on the boundary line. The values on the boundary line are not included. This means the shading of the solution area is above the dashed boundary line, as shown in Graph C.

Which of the following are remote interior angles of angle 1? Check all that apply

A. <5

B. <2

C. <3

D. <1

E. <4

F. <6

Answers

Answer:

it will be 4 because it can't share it's vertex ✌

please help!!!!!!!!!!!!!!!!!

Answers

The answer is 0.06!!!

Write an equation in point slope form that goes through the point (3,5) and is perpendicular to the line y=1/3x-7

Answers

Answer:

[tex]y - 5 = - 3(x - 3)[/tex]

Step-by-step explanation:

our original equation

[tex]y = \frac{1}{3} x - 7[/tex]

A perpendicular slope of a line is the negative reciprocal

So our slope would be -3

point slope form is

[tex]y - y1 = m(x - x1)[/tex]

let's substitute our given point (3, 5) and our perpendicular slope, -3

[tex]y - 5 = - 3(x - 3)[/tex]

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