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3 years ago

Divide 240 in the ratio 1:3

Mathematics

2 answers:

gtnhenbr [62]3 years ago

7 0

Answer:

60:120

Step-by-step explanation:

You need to add the two parts of the ratio

1+3=4

Then you divide 240 by 4

240 divided by 4= 60

Then you do :

60x1= 60

60x3= 120

There you go, you have your answer.

elixir [45]3 years ago

6 0

240/4=60

1:3

60*3=180

Answer= 60:180

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Step-by-step explanation:

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2 years ago

5. 3x + 5y + 5z =1 x - 2y = 5 2x + 4y = 11

lilavasa [31]

Answer:

see explanation

Step-by-step explanation:

Given the 3 equations

3x + 5y + 5z = 1 → (1)

x - 2y = 5 → (2)

2x + 4y = 11 → (3)

Use (2) and (3) to solve for x and y

Multiply (2) by 2

2x - 4y = 10 → (4)

Add (3) and (4) term by term

4x = 21 ( divide both sides by 4 )

x = $\frac{21}{4\\}$

Substitute this value of x into (3)

2 × $\frac{21}{4\\}$ + 4y = 11

$\frac{21}{2\\}$ + 4y = 11 ( subtract $\frac{21}{2\\}$ from both sides )

4y = $\frac{1}{2}$ ( divide both sides by 4 )

y = $\frac{1}{8\\}$

Substitute the values of x and y into (1) and solve for z

3 × $\frac{21}{4\\}$ + 5 × $\frac{1}{8\\}$ + 5z = 1

$\frac{63}{4}$ + $\frac{5}{8}$ + 5z = 1

$\frac{131}{8}$ + 5z = 1 ( subtract $\frac{131}{8}$ from both sides )

5z = - $\frac{123}{8}$ ( divide both sides by 5 )

z = - $\frac{123}{40}$

Solution is

x = $\frac{21}{4\\}$ , y = $\frac{1}{8\\}$ , z = - $\frac{123}{40}$

3 0

3 years ago

12. Find m?1 if m?2 = 35° in parallelogram ABCD. A. 55° B. 35° C. 75° D. 40°

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Answer: A

Step-by-step explanation: Complementary angles must add up to 90 degrees.

8 0

2 years ago

Kimi and Jordan are each working during the summer to earn money in addition to

cluponka [151]

Their earnings would be the same after 4 hours

Let the number of hours be x, and the weekly earning be y

So, the given parameters are:

Kimi

Earnings = $9 per hour
Weekly allowance = $8

So, the equation for Kimi's weekly earning is:

$y =9x + 8$

Jordan

Earnings = $7 per hour
Weekly allowance = $16

So, the equation for Jordan's weekly earning is:

$y = 7x + 16$

Equate both equations

$7x + 16 = 9x + 8$

Collect like terms

$9x - 7x = 16 - 8$

$2x =8$

Divide both sides by 2

$x =4$

Hence, their earnings would be the same after 4 hours

Read more about linear equations at:

brainly.com/question/13729904

7 0

2 years ago

Math algebra 2 show you’re work plz

LenKa [72]

9514 1404 393

Answer:

(t, u, w) = (1, -2, -2)

Step-by-step explanation:

A graphing calculator makes short work of this, giving the solution as ...

(t, u, w) = (1, -2, -2)

There are many ways to solve this "by hand." Here's one of them.

Add the first and third equations. Their sum is ...

-3t +4w = -11 . . . . . [eq4]

Add this to twice the second equation. That sum is ...

(-3t +4w) +2(-4t -2w) = (-11) +2(0)

-11t = -11

t = 1

Substituting this into the second equation gives ...

-4(1) -2w = 0

w +2 = 0 . . . . divide by -2

w = -2 . . . . add -2

Substituting for t in the third equation lets us find u.

2(1) -2u = 6

-1 +u = -3 . . . . . divide by -2

u = -2 . . . . add 1

The solution is (t, u, w) = (1, -2, -2).

5 0

3 years ago

Divide 240 in the ratio 1:3​

Divide 240 in the ratio 1:3