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kati45
3 months ago
15

Liam is a tyre fitter. it takes him 56 minutes to fit 4 tyres to a van.

Mathematics
2 answers:
Inessa [12.5K]3 months ago
7 0

Answer:

a. Multiplying 12 by 14 yields 168 minutes.

b. Dividing 42 by 14 gives 3 tires.

Detailed solution:

There are various ways to approach this problem.

Considering the two problem types, calculate minutes per tire first.

a. 56 divided by 4 results in 14 minutes per tire.

Since 3 vans have 12 tires,

a. 12 times 14 equals 168 minutes.

b.

Divide 42 minutes by 14 minutes per tire to determine how many tires fit in that time.

b. 42 divided by 14 equals 3 tires.

PIT_PIT [12.4K]3 months ago
4 0

Answer:

a) 168   b) 12

Stepwise explanation:

a) 56 divided by 4 is 14; multiplying 14 by 12 results in 168

b) 504 divided by 42 equals 12


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1) The domain is represented in interval notation as [0, 20]. 2) The range is denoted as [100, 700]. Given that Beth saves $30 per month for 20 months and started with an account of $100, we express the total amount saved as Y = $100 + $30 × X, allowing us to accurately define both the domain and range.
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1 month ago
In a school of 2100 students, the ratio of teachers to students is 1:14. Some teachers join the school and the ratio changes to
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Answer:

50 Educators

Step-by-step explanation:

To tackle this question, the initial step is to calculate the amount of teachers prior to the addition of new staff. For this, I devised Model 1. In this model, teachers are positioned at the top of the ratio and students at the bottom. The variable X represents the number of teachers we are determining. Utilizing this model, I computed 2,100 multiplied by 1 (2,100) and then divided by 14 to conclude there were 150 teachers. Next, I formed a similar model with the updated student-teacher ratio (Model 2). This time, I multiplied 2,100 by 2 (which is 4,200) and divided by 21 to ascertain there are 200 teachers. Having established both the initial and the increased counts of educators, subtracting the original from the new gives you the tally of new teachers, which results in an increase of 50 teachers.

6 0
2 months ago
Round 75391 to the nearest ten
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The digit 7 in 75390 is in the ten thousand position, 5 is in the thousand position, 3 is in the hundreds position, 9 is in the tens position, and 1 is located in the ones position.
8 0
2 months ago
Read 2 more answers
A mirror is made of two congruent parallelograms as shown in the diagram. The parallelograms have a combined area of 9 1/3 squar
AnnZ [12381]
Given:
Two identical parallelograms total area = 9 1/3 yd²
Each parallelogram has height 1 1/3 yd

Area formula: area = base × height

Split the total area equally to find each parallelogram's area.

Convert 9 1/3: (9*3)+1 = 28/3

Divide by 2: 28/3 × 1/2 = 28/6 yd², which is 4 4/6 yd² → 4 2/3 yd²

So each parallelogram's area is 4 2/3 yd²

Set up base × 1 1/3 yd = 4 2/3 yd²

Convert and divide: 14/3 yd² ÷ 4/3 yd = base

Multiply: 14/3 × 3/4 = base
Compute: 14*3 / 3*4 = base
42 / 12 = base
Which simplifies to 3 6/12 yd = base
or 3 1/2 yd = base

a) Each parallelogram has a base of 3 1/2 yards
b) If the two parallelograms form a rectangle:
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Length = 3 1/2 yd × 2 = 7 yds
Width = 3 1/2 yds

Area = 7 yd × 3 1/2 yd
Area = 7 × 7/2 yd²
Area = 7*7 / 2 yd²
Area = 49 / 2 yd²
Area = 24 1/2 yd²


8 0
2 months ago
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