I believe the answer is d
C = # of carpenter hrs , b = # of blacksmith hrs
c + b = 30...c = 30 - b
20c + 25b = 690
20(30 - b) + 25b = 690
600 - 20b + 25b = 690
-20b + 25b = 690 - 600
5b = 90
b = 90/5
b = 18 <== hrs worked as blacksmith
c + b = 30
c + 18 = 30
c = 30 - 18
c = 12 <== hrs worked as carpenter
Answer:
Rita's answer in incorrect because the remainder that Rita got which is 23 is greater 17 which is the divisor. 17 can still go in 23 1time to have a remainder of 6. Hence Rita's answer is wrong with 34R6 being the correct answer.
Step-by-step explanation:
Quotient is the required answer if 584 is divided by 17
584 will be the dividend and 17 is the divisor.
To calculate 584/17, 17 will go in 58 3times with 7 as remainder. This remainder 7 will combine with 4 to make 74, 17 will also go in 74 4times with remainder of 6.
The final answer by combining the number of times 17 goes in 584 which is 34 with final remainder of 6. This means that;
584/17 = 34 remainder 6 i.e 34R6
This shows that Rita's answer in incorrect because the remainder that Rita got which is 23 is greater 17 which is the divisor. 17 can still go in 23 1time to have a remainder of 6. Hence Rita's answer is wrong with 34R6 being the correct answer.
Problem 5
d = 29 = diameter
r = d/2 = 29/2 = 14.5 = radius
SA = surface area of sphere
SA = 4*pi*r^2
SA = 4*pi*(14.5)^2
SA = 841pi
SA = 841*3.14
SA = 2,640.74 square inches
To convert from square inches to square feet, we divide by 144. This is because 12^2 = 144.
2,640.74 square inches = (2,640.74)/144 = 18.3 sq ft
<h3>Answer:
18.3 square feet (approximate)</h3>
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Problem 6
d = 10.7 = diameter
r = d/2 = 10.7/2 = 5.35 = radius
L = 22.3 = slant height
SA = surface area of the cone
SA = pi*r^2 + pi*r*L
SA = pi*(5.35)^2 + pi*5.35*22.3
SA = 147.9275pi
SA = 147.9275*3.14
SA = 464.49235
<h3>Answer:
464.49235 square cm (approximate)</h3>
Answer:
The probability of picking a yellow marble is 2/13
Step-by-step explanation:
First of all, we need to know the total number of marbles that are in the bag. To do this, we will have to add up all the marble colors together.
This will give us 6 + 2 +4+ 1 = 13 marbles in total.
The next step is to find the number of yellow marbles in the bag.
We can get this from the question. There are 2 yellow marbles in the bag.
The probability of selecting a yellow marble can be obtained by dividing the number of yellow marbles by the total number of marbles in the bag
This will give us 2/13.
Therefore, the probability of picking a yellow marble is 2/13
