Answer:
5(2x-8)+15=-15
10x-40+15=-15
10x-25=-15
+25 +25 (add 25 to both sides)
____________
10x=10
divide by 10 on both sides
x=1
Answer:
Step-by-step explanation:
<u><em>The </em></u><u><em>number of trains</em></u><u><em> that arrived Dubai metro station on time is; 272 trains. </em></u>
<u><em /></u>
- We are told that 320 trains arrived the Dubai metro station in a week.
- Now, we are told that 5% got there early and 15% got there late.
This means, the percentage that got there on time is;
100% - % of trains that got there late.
- Therefore, percentage of trains that got there on time is;
100% - 15% = 85%
- Since 85% of the trains got there on time, then number of trains that got there on time is;
85% × 320 = 272
- Therefore, we can conclude that 272 trains arrived on time.
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Answer:
One part of Clare’s job at an environmental awareness organization is to answer the phone to collect donations. The table shows the number of hours she worked each week, , and the amount of donations in dollars, , that the organization collected each week for 10 weeks.
Step-by-step explanation:
u.w.u
Length: 2w + 59
width: w
diagonal: (2w + 59) + 2 = 2w + 61
Length² + width² = diagonal²
(2w + 59)² + (w)² = (2w + 61)²
(4w² + 118w + 3481) + w² = 4w² + 122w + 3721
5w² + 118w + 3481 = 4w² + 122w + 3721
w² + 118w + 3481 = 122w + 3721
w² - 4w + 3481 = 3721
w² - 4w - 240 = 0
a = 1, b = -4, c = -240
w =
=
=
=
=
=
since width cannot be negative, disregard 1 - 2√61
w = 1 + 2√61 ≈ 16.62
Length: 2w + 59 = 2(1 + 2√61) + 59 = 2 + 4√61 + 59 = 61 + 4√61 ≈ 92.24
Answer: width = 16.62 in, length = 92.24 in