Answer:
£121
Step-by-step explanation:
5/12 of the total coins = 5/12 x 96 = 40 ⇒ 40 coins are £2 coins
26 of the coins are £1 coins
Number of 50p coins = 96 - 40 - 26 = 30 ⇒ 30 of the coins are 50p coins
Total money collected = 40 x £2 + 26 x £1 + 30 x £0.50 = £121
(rememberinf to convert 50p into £s)
Lets x is the 1st consecutive even integers
x +2 :the 2nd consecutive even integers
x +4: the 3rd consecutive even integers
So sum of all 3 equals -78 then
x + (x+2) + (x+4) = -78
x + x + 2 + x + 4 = -78
Simplify
3x + 6 = -78
Subtract (-6) to both sides
3x +6 -6 = -78 - 6
Simplify
3x = -84
Divided both sides by 3
3x/3 = -84/3
x = -28
x + 2 = -28 + 2 = -26
x +4 = - 28 + 4 = -24
Double check: -28 + -26 + -24 = -78
So the three consecutive even integers are: -24, -26, -28
The smallest integer would be -28
Answer:
There are 187 dubbins on the Frent farm
Step-by-step explanation:
Here, we want to find the number of dubbles on the farm;
From the beginning of the question, we are told that there are 9 boodins to every 14 dubbles
So the ratio of boodins to dubbles is 9:14
Now, let the number of dubbles on the farm be x
Mathematically;
9/14 = 120/x
9 * x = 14 * 120
9x = 1680
x = 1680/9
x = 186.67
Since there cannot be a fractional dubbins, we will need to round up
So the number of Dubbins on the farm is 187
Answer:
1.5 meters
Step-by-step explanation:
the fabric is 4 meters long
first piece is 1.25 meters long
second piece will be (4-1.25)=2.75 meters long
therefore the second piece is (2.75-1.25) meters longer
Answer:
The mileage of the car is 30 miles per gallon
Step-by-step explanation:
Here, we are interested in calculating the gas mileage of the car.
The gas mileage refers to the number of kilometers the car can travel on a particular amount of fuel.
The full capacity of the car tank is 15 gallon
Now after traveling 300 miles, it stops for gas and 10 gallons of fuel are added to make the car full again.
What this means is that the car used up a total of 10 gallons of fuel for the 300 miles
Thus, the gas mileage of the car is that it used 10 gallons to travel a total of 300 miles
Expressing this as a ratio, we have 300 miles/10 gallons = 30 miles/ gallon
This means that on a gallon of fuel, the car can travel 30 miles
