Divide 30 in a ratio of 3:2

Answers

Answer 1

Answer: $Other\ method:\n\nx;y-searches\n\n \left\{\begin{array}{ccc}x+y=30&|subtract\ y\ from\ both\ sides\nx:y=3:2\end{array}\right\n\left\{\begin{array}{ccc}x=30-y&(1)\n(x)/(y)=(3)/(2)&(2)\end{array}\right\n\nsubtitute\ (1)\ to\ (2):\n\n(30-y)/(y)=(3)/(2)\ \ \ \ |cross\ multiply\n\n(3)(y)=(2)(30-y)\n3y=60-2y\ \ \ \ |add\ 2y\ to\ both\ sides\n5y=60\ \ \ \ |divide\ both\ sides\ by\ 5\n\boxed{y=12}$

$Put\ the\ value\ of\ y\ to\ (1):\nx=30-12\n\boxed{x=18}\n\nAnswer:\boxed{\left\{\begin{array}{ccc}x=18\ny=12\end{array}\right\to18:12}$

Answer 2

Answer: 3+2=5
30 divided by 5=6
6X3=18
6X2=12
18+12=30
18:12

Related Questions

How do i find the answer to this problem? 2/6 x 24 = m working with fractions
Rebecca complete four addition problems each minute. How many minutes will it take her to complete 12 problems?
Liquid A has a density of 0.7g/cm^3liquid B has a density of 1.6g/cm^3140g of liquid A is and 128g of liquid B are mixed to make liquid Cwork out the density of liquid C
Complete the two column proof.Given: mProve: x = 15 mm5x + 7x = 180 a. ____________________12x = 180 b. ____________________x = 15 c. ____________________
The sum of 6 consecutive even numbers is 126.what is the fourth number in this sequence

Is 1/sec^2(θ) the same as cos^2(θ)

Answers

$(1)/(sec^2\theta)=cos^2\theta\n\nL=(1)/(\left((1)/(cos\theta)\right)^2)=(1)/((1)/(cos^2\theta))=1:(1)/(cos^2\theta)=1\cdot(cos^2\theta)/(1)=cos^2\theta=R$

A minor league baseball team plays 70 games in a season. If the team won 13 more than twice as many games as they lost, how many wins and loses did the team have?I need help setting the problem up. I have the answers.

Answers

I pretty sure its 13+2x=70 if not im sorry.

Determine whether the sequence is arithmetic or geometric. Sequence 1: –10, 20, – 40, 80, ... Sequence 2: 15, – 5, – 25, – 45, ... Which of the following statements are true regarding Sequence 1 and Sequence 2.

Answers

Answer:

1. geometric 2. arithmetic

Place 1/5 on the number line below .

Answers

right next to the zero van I heht brainleist please

the ages of John and Mary total 27 years. Mary's age plus twice john's age is 40. how old is each person?

Answers

so
Jon's age=j
mary age=m

m+j=27
m+2 times j=40
m+2j=40
M+j=27
ssubtract j from both sides
m=27-j
subsitute 27-j for m
27-j+2j=40
27+j=40
subtract 27 fromboth sdies
j=13

subsitue
13+m=27
subtract 13
m=14

mary=14
john=13

$J+M=27$
$2J+M=40$

$J=27-M$

$2(27-M)+M=40$
$54-2M+M=40$
$54-M=40$
$-M=-14$
$M=14$

$2J+14=40$
$2J=26$
$J=13$

John is 13 years old
Mary is 14 years old

What is the area of an equilateral triangle with sides of 10 inches and height of 7 inches?

Answers

Area of Triangle: bh1/2[base x height x 1/2(divide by 2)]
Plug in- 10 x 7 x 1/2
70 x 1/2
35

Other Questions

Help please help ghelp

Jake and his brother, Rob, built triangular kites for the Beach Cities Kite Festival and covered them with fabric. Jake's kite is 5.5 feet long and 6 feet tall. Rob's kite is 3.5 feet long and 4 feet tall. The fabric they used costs $2.50 per square foot.How much more money did Jake spend on fabric than Rob?

P-6=-5 this my question

Sarah is planning to spend a week at her friend’s summer house in Miami Beach. All meals will be provided by her friend’s parents, but Sarah still needs at least $500 to pay for her airfare and personal expenses for the week. She is selling bracelets and earrings to fund her trip. A graph representing this situation is shown below.Questions:1.This region represents the combinations of bracelets and earrings that Sarah must sell in order to get a minimum of $500 profit to pay for her trip.2.This region represents the area where Sarah sells a lot of earrings but not enough bracelets to reach her $500 goal.3.This region represents the area where Sarah sells a lot of earrings but not enough bracelets to reach her $500 goal.graph below ∨↓↓↓↓