1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
faust18 [17]
3 years ago
11

40 in the ratio 2:3 £2000 in the ratio 3:7 36kg in the ratio 1:2:3

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
8 0
Answer:
a) 16: 24
b)  £600 : £1400
c)  6 : 12 : 18


40 in the ratio 2 : 3 

To split an amount based on ratio 2:3 , first, we need to find the total share.

-------------------------------------------------
Find total shares
-------------------------------------------------
2+3 = 5

Then we need to find the the amount of 1 share worth 

-------------------------------------------------
Find 1 share
-------------------------------------------------
5 shares = 40                ← divide by 5 on both sides
÷ 5             ÷ 5 
1 share = 8 

Now that we know one share is 8, we need to find the amount according to the shares allocation, which is 2 and 3 in this question.

-------------------------------------------------
Find 2 shares
-------------------------------------------------
1 share = 8                    ← multiply by 2 on both sides
x2           x2
2 shares = 16

-------------------------------------------------
Find 3 shares
-------------------------------------------------
1 share = 8
x3            x3
3 shares = 24

The ratio is 2 : 3. The 40 is therefore the amount split as 16:24

-------------------------------------------------
Answer: 16: 24
-------------------------------------------------

£2000 in the ratio 3: 7

To split the £2000 into the ratio 3:7, first, we need to find the total shares.

-------------------------------------------------
Find total shares
-------------------------------------------------
3 + 7 = 10

Then we find the 1 share worth
-------------------------------------------------
Find 1 share
-------------------------------------------------
10 shares = £2000              ← divide by 10 on both sides
÷10              ÷10
1 share = £200

Now that we know 1 share is worth £200, we need to find the shares according to the ratio allocation.

-------------------------------------------------
Find 3 shares
-------------------------------------------------
1 share = £200                    ← multiply 3 on both sides
x3             x3
3 shares = £600

-------------------------------------------------
Find 7 shares
-------------------------------------------------
1 share = £200                         ← multiply by 7 on both sides
x7            x7
7 shares = £1400

The ratio 3 : 7, the £2000 is spilt into £600 : £1400

-------------------------------------------------
Answer: £600 : £1400
------------------------------------------------

36 kg into the ratio 1:2:3

To spilt the 36kg, first we find the total number of shares

------------------------------------------------
Find total shares
------------------------------------------------
1 + 2 + 3 = 6

36 kg is split into 6 shares. We need to find the allocation of 1 share.
------------------------------------------------
Find 1 share
------------------------------------------------
6 shares = 36              ← divide by 6 on both sides
÷6             ÷6
1share = 6kg

The allocation of 1 share is 6kg. Now find 2 shares and 3 shares

------------------------------------------------
Find 2 shares
------------------------------------------------
1 share = 6kg                 ← multiply by2 on both sides
x2            x2
2 shares = 12kg

------------------------------------------------
Find 3 shares
------------------------------------------------
1 share = 6 kg            ← multiply by 2 on both sides
x3            x3
3shares = 18kg

The ratio is 1:2:3. 36kg is spilt into 6: 12: 18

------------------------------------------------
Answer: 6 : 12 : 18
------------------------------------------------


You might be interested in
Student tickets for the football game cost $12 each. An adult ticket costs $20. $1720 was collected for the 120 tickets sold at
Amanda [17]
The answer is b
Good luck
8 0
4 years ago
Read 2 more answers
PLEASE HELP ME ASAP I AM STUCK !!!!!!!!!!!Witch of the following are solutions to the equation below 5x^2-2x+16=4x^2+6x
poizon [28]
X=4

Explanation

First subtract 4x^2 + 6x from both sides of the equation

X^2 - 8x + 16 = 0

Then let’s factorice the equation using the middle-term break:

x^2 - 4x - 4x + 16 = 0
x (x - 4) - 4 (x - 4) = 0
(x - 4) (x - 4) = 0
(x - 4) ^2 = 0
x = 0

Therefore the solution to the equation is x = 4
7 0
4 years ago
Max used a base ten blocks to solve the division problem 9.15 divided by 3.
Angelina_Jolie [31]

Answer:

D 3 ones, 0 tenths, 5 hundredths

Step-by-step explanation:

9.15 divided by 3.

915/3 = 305

Then, moving the decimal point two units to the left, we have 3.05.

The last number before the decimal point is called ones, which means that we have 3 ones.

The first number after the decimal point is called tenths, which means that we have 0 tenths.

The second number after the decimal point is called hundredths, which means that we have 5 hundredths.

The correct answer is given by option D.

6 0
3 years ago
Help me I'll help you back thanks emergency
Nadya [2.5K]
The answer is 10 . a 11 .a♥☆♥☆☆
5 0
3 years ago
Janelle fired a projectile and measured its range. Shehypothesizes that if the magnitude of the initial velocity is doubled and
anyanavicka [17]

Answer:

  No

Step-by-step explanation:

If the projectile lands at the same height it was launched from, then its time of flight will be proportional to the vertical speed. Its horizontal distance will be the product of its horizontal speed and its time of flight, so will be proportional to the square of the velocity.

If the velocity is doubled, the projectile can be expected to travel 2² = 4 times as far, not twice as far.

6 0
3 years ago
Other questions:
  • What is the solution to the equation 1/4x+2=-5/8x-5
    10·2 answers
  • 5+(-2) what the amswer
    7·1 answer
  • A basketball team needs to score more than 857 total points this season to set a new record. The team has already scored 167 poi
    11·1 answer
  • Use a paragraph, flow chart, or two-column proof to prove that ZX is the perpendicular bisector of side WY.
    15·1 answer
  • Calder's Construction Company has built a home in a new subdivision which was sold 6 months after it was built, for $48,500. Thi
    10·1 answer
  • A can of tuns has a shape similar to the shape of a large water tank. The can of tuna has a diameter of 3in and a height of 2in.
    13·1 answer
  • The function f(x) = x^3
    9·1 answer
  • Fill in the blank. In 7k + 5,<br> is the variable. *
    14·1 answer
  • A chemist is using 373 milliliters of a solution of acid and water. 17.5% of the solution is acid, how many milliliters of acid
    11·1 answer
  • Which is not true about the degrees of freedom (df) of a chi-square distribution?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!