there is a total of 25 bicycles. if the ratio of gray bicycles to black bicycles is 6 to 9 how many of them are black?
Answers
gray : black
6 : 9 (6+9=15)
25 divided by 15 = 1.666666667
x 9 (that's how many blacks)
= 15
there are 15 blacks
Final answer:
To find the number of black bicycles in a total of 25 bicycles given a ratio, divide the total number of bicycles by the total number of parts in the ratio and multiply by the number of parts representing black bicycles.
Explanation:
To find the number of black bicycles, we first need to find the total number of parts in the ratio. The ratio of gray bicycles to black bicycles is 6 to 9, which means the total number of parts is 6 + 9 = 15. We can then calculate the number of black bicycles by dividing the total number of bicycles by the total number of parts and multiplying by 9. So, the number of black bicycles is (25/15) x 9 = 15 bicycles.
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EDIT-- for those in the future i just took the test and the answer was 118 degrees
Answers
x + (3x +13) + (x - 8) = 180
x + 3x + 13 + x - 8 = 180
5x + 5 = 180
5x = 180 - 5
5x = 175
x = 175/5
x = 35
Angle A:
3x + 13
3(35) + 13
105 + 13
118
Answer: Angle A = 118 (Answer matched)
//Hope this helps
m∠A = 118 degrees (Angle ∠A is 118 degrees when you substitute x = 35 into the expression (3x + 13)).
In this problem, we are given three angles of a triangle: ∠A, ∠B, and ∠C, expressed in terms of the variable x. We need to find the measure of angle ∠A.
1. Start with the given information:
- ∠A = (3x + 13) degrees
- ∠B = (x - 8) degrees
- ∠C = x degrees
2. We know that the sum of the angles in any triangle is always 180 degrees. So, we can write an equation based on this fact:
∠A + ∠B + ∠C = 180
3. Substitute the expressions for each angle:
(3x + 13) + (x - 8) + x = 180
4. Now, simplify and solve for x:
3x + 13 + x - 8 + x = 180
Combine like terms:
5x + 5 = 180
Subtract 5 from both sides to isolate 5x:
5x = 180 - 5
5x = 175
Divide by 5 to find the value of x:
x = 35
5. Now that we've found the value of x, we can find the measure of ∠A by substituting x back into the expression for ∠A:
∠A = (3x + 13)
∠A = (3 * 35 + 13)
∠A = 105 + 13
∠A = 118 degrees
So, the measure of angle ∠A is 118 degrees.
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principal: $600
interest rate 7%
time:?
Answers
For simple interest, the amount of interest (I) is calculated from the principal (P), the annual rate (r) and the number of years (t) using the formula
... I = P·r·t
Fill in the given numbers, and solve for t.
... 84 = 600·0.07·t . . . of course, you know that 7% = 7/100 = 0.07
... 84 = 42t . . . . . . . . simplify
... 84/42 = t = 2 . . . . divide by the coefficient of t
The time period is 2 years.
Total = Principal × ( 1 + Rate ) ^ years
(Solved by taking logarithms)
Years = log (total / principal) / (log (1 + rate))
Years = log (684 / 600) / (log 1.07)
Years = log (1.14) / (log (1.07)
Years = 0.0569048513364726 / 0.0293837776852097
Years = 1.9366077414
What is the approximate circumference of the pizza?= 3.14.
Answers
So, all you have to do is multiply the given diameter by pi to get your circumference in centimeters.
21·3.14=65.94
Circumference is 65.94 centimeters
65.94cm
Answers
Hope this helps Kaylah3!
Answers
you can check this by using the Pythagorean theorem
8²-5² = 39
3² does not = 39 therefore this is not a right triangle
Answers
Answer:
x = -2
Step-by-step explanation: