Answer as a fraction: AB = 127/13 (exact)
Answer in decimal form: AB = 9.76923 (approximate)
Sides AC and BC are the same length as AB.
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Work Shown:
AB = (3/2)x+4
AC = (1/5)x+9
These sides are equal to each other since all sides of an equilateral triangle are the same length.
AB = AC
(3/2)x+4 = (1/5)x+9
10*[ (3/2)x+4 ] = 10*[ (1/5)x+9 ] ... see note below
10*(3/2)x + 10*4 = 10*(1/5)x + 10*9
15x + 40 = 2x + 90
15x-2x = 90-40
13x = 50
x = 50/13
Note: I multiplied both sides by the LCD (lowest common denominator) 10 to clear out the fractions.
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Once we know what x is, we plug it into the expression for AB
AB = (3/2)x+4
AB = (3/2)*(50/13) + 4
AB = (3*50)/(2*13) + 4
AB = (3*2*25)/(2*13) + 4
AB = (3*25)/(13) + 4
AB = 75/13 + 4
AB = 75/13 + 52/13
AB = (75+52)/13
AB = 127/13 which is exact
AB = 9.76923 which is approximate
Because we have an equilateral triangle, AB = BC = AC.
The equation that represents the scenario is 2x + 500 = 2400
The cost of one month rent is $950
She paid two months rent and a $500 security deposit when she signed for a lease. In total she paid $2400.
let
the cost of a month rent = x
Therefore,
<h3>Total cost Equation</h3>
The cost of the one month rent can be calculated as follows:
- 2x + 500 = 2400
- 2x = 2400 - 500
- 2x = 1900
- x = 1900 / 2
- x = $950
Therefore, the equation that represent the scenario and cost of one month rent are as follows;
- 2x + 500 = 2400
- cost of one month rent = $950
learn more on equation here: brainly.com/question/8057577
Answer:
1. 10 weeks
Step-by-step explanation:
Apparently, we want to find the number of weeks (w) that Kaitlyn must save $6 in order to have a total of $60.
... $6 × w = $60
Divide by $6 to get ...
... w = $60/$6 = 10
Kaitlyn must save for 10 weeks (if she starts with a balance of 0).
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<em>Comment on the problem statement</em>
The problem reads like we came in somewhere in the middle of it. We don't know what other steps you've been asked to perform, or any of the details of the problem you're asked to solve. We don't have Kaitllyn's initial balance, for example, which is essential to determining how long she must save. (If Kaitlyn's initial balance is $33, for example, she must only save for 4.5 weeks.)
Answer: 4.5924 (4.6)
Step-by-step explanation:
The answer:
8 times
Explanation:
If you divide 168 by 20, you get 8.4, and the whole number is 8 so that’s the answer.
