An athletics track has a circular shape and its diameter measures 80 m. An athlete training on this track wants to run 10 km daily. Determine the minimum number of complete turns that it should take this track every day
Answers
Answer:
Step-by-step explanation:
First, we need to find the length of the circular track,
area of circle =
in this case,
meters
10km = 10000 meters
he needs to run times to complete his goal.
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If 52 x equals 7800 y what does 1 x equal? What is the maths equation?
The Johnson family is going to build a new home. They need to have working drawings of their house plans created by a design firm. They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for the initial consultation with the Johnson family, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge $75.00 per hour for the house plans. Let ℎ represent the number of hours for which the Johnson family hires the design firm. Which of the following statements are true? Select all that apply.
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The sum of digits of a 3 digit number is 12. Three times the hundreds digit minus twice the tens digit is 5. If six time the units digit is added to four times the tens digit, the result is 50. Find the number.
Answers
Each part of the ratio must be 1/7 of 56. So we divide 56/7 =8.
That means each part of the ratio is equal to 8.
We have 4 parts of the ratio that we must multiply by 8 4*8= 32
We have 3 parts of the ratio that we must multiply by 8 3*8 = 24
Therefore the ratio should be 32:24
How much does a t-shirt cost?
How much does a hat cost?
Answers
Answer:
£2
Step-by-step explanation:
Let T represent T-shirt and H represent hat
5T + H = £27.00
2T + H = £12.00 Subtract two equation
5T + H - 2T - H = £27 - £12 ➡ 3T = £15 and T = £5 this is the cost for a t-shirt
If a t-shirt costs £5 and 2 t-shirt + a hat costs £12 then a hat costs £2
We get: 5X+Y=27.00
2X+Y=12.00
solve for X in the first equation
5X+Y= 27
5X=27-Y
X=27-Y/5
Replace X= 27-Y/5 in equation 1 or 2
I use equation 2:
2*27-Y/5+Y=12
54-2Y/5+Y=12
make the denominator equal
54-2Y/5+5Y/5=12
54+3Y/5=12
Multiply 5 both side
54+3Y = 60
3Y = 60-54
3Y= 6
Y=6/3
Y=2
Replace Y= 2 in equation 1 or 2
I use 2:
2X+2=12
2X=10
X=5
Thus the answer is T-shirt cost : £5 and hat cost : £2
A. 34°
B. 56.5°
C. 22°
D. 68°
Answers
Answer:
Option A.
Step-by-step explanation:
we know that
The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.
substitute the values
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Answer:
- m = -1
- m = 0
Step-by-step explanation:
1.
2.
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They are: 59, 61, 67, 71, 73, 79, 83, 89 & 97.
there are nine prime numbers between 56 and hundred
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Answer:
The experiment could be made more valid by:
• Running a pretrial or using existing data from a time when nobody drinks the juice as a baseline.
This option would help establish a baseline productivity level for the workers before introducing the special juice. By comparing the performance of Group A (given the special juice) with the baseline performance, it would be easier to determine whether the special juice indeed had an impact on productivity. This approach helps control for any external factors that may affect productivity, making the experiment more valid and the results more reliable.
This would make the experiment more valid because it establishes a baseline for comparison. By comparing the productivity of both groups with no juice consumption, any differences observed in productivity between Group A (given the special juice) and Group B (not given the special juice) can be more confidently attributed to the juice itself rather than other factors. This helps to ensure that any observed effects are indeed caused by the special juice and not due to other variables or random chance.