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gregori [183]
2 years ago
15

DUE TOMORROW: Consider the equation k = j + 54. For what value of j

Mathematics
1 answer:
Viefleur [7K]2 years ago
8 0

Answer:

-14

Step-by-step explanation:

k = j + 54

k = 40

40 = j + 54

40 - 54 = j + 54 - 54

-14 = j

j = -14

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On tuesday And wednesday , cab fare cost $7.75 total. On Monday and Thursday , cab Fare cost $6.30 on each day. On Friday , cab
Rashid [163]
The average daily cost is $7.02.
 
to get the average cost you add up all the prices

 7.75
 7.75
 6.30
 6.30
+7.00
35.10

then you divide that by the amount of numbers you have

35.10 / 5=7.02
 
then there's your answer.
7 0
2 years ago
Acerville is 21 km due of east Bakersville and 20 km due south of Centerville. Which is the length of the roads that run straigh
suter [353]
21^2 + 20^2 = 841
square root (841) = 29
3 0
3 years ago
Working alone, Henry takes 3 hours less than Mary to clean the carpets in the entire office. Working together, they can clean th
Sati [7]

Answer:

It would take Henry 3 hours to clean the office carpets if Mary were not there to help

Step-by-step explanation:

Assume that it takes Henry t hours to clean the carpets

∵ Henry takes 3 hours less than Mary to clean the carpets

∵ Henry takes t hours

- That means add 3 to t to find Mary time

∴ Mary takes t + 3 hours

∵ The rate of Henry is \frac{1}{t}

∵ The rate of Mary is \frac{1}{t+3}

∵ Working together, they can clean the carpets in 2 hours

- Add the two rates and equate the answer by \frac{1}{2} (their rate together)

∴ \frac{1}{t}+\frac{1}{t+3}=\frac{1}{2}

Multiply the two denominators and multiply each numerator by the other denominator to add the two fractions of the left hand side

∵ \frac{(1)(t+3)}{t(t+3)}+\frac{(1)t}{t(t+3)}=\frac{1}{2}

∴  \frac{(t+3)}{t(t+3)}+\frac{t}{t(t+3)}=\frac{1}{2}

- Add the two fractions in the left hand side

∴ \frac{t+3+t}{t(t+3)}=\frac{1}{2}

∴  \frac{2t+3}{t^{2}+3t}=\frac{1}{2}

Use the cross multiplication

∵ (t² + 3t)(1) = 2(2t + 3)

∴ t² + 3t = 4t + 6

- Subtract 4t from both sides

∴ t² - t = 6

- Subtract 6 from both sides

∴ t² - t - 6 = 0

- Factorize it into two factors

∴ (t - 3)(t + 2) = 0

Equate each factor by 0 to find t

∵ t - 3 = 0

- Add 3 to both sides

∴ t = 3

OR

∵ t + 2 = 0

- Subtract 2 from both sides

∴ t = -2 ⇒ reject this answer because there is no - ve time

∴ t = 3

∴ Henry would take 3 hours to clean the carpets alone

It would take Henry 3 hours to clean the office carpets if Mary were not there to help

8 0
3 years ago
Can I get help please?
MArishka [77]
I’m pretty sure you just start solving for x like
x2 + 4 = x - 1
so on and so on
7 0
2 years ago
A triangle has side lengths of 20 cm, 99 cm, and 108 cm. Classify it as acute, obtuse, or right.
Tasya [4]
This doesn't make sense, as a triangle much equal 180, so it cannot have two angles bigger than 90, because this would mean it cannot be acute. A right triangle has one angle that is 90, obtuse as one that is bigger than 90 and two that are less, and an acute has three angles less than 90. Maybe there's a typo here? 
6 0
3 years ago
Read 2 more answers
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