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Lubov Fominskaja [6]
3 years ago
9

Allen earns $7 an hour to wait on tables at a restaurant. In addition, he makes an $8 tip from each table. He waited on 6 tables

and made $104, how many hours did he work?
Mathematics
1 answer:
posledela3 years ago
4 0

The answer is -- 8 hours

Explanation:

8 (tip) x 6 (tables) = $48

104 - 48 = $56

56 / 7 = 8

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I managed to prove JMK and KNJ to be congruent. How do I find that JLK is isoceles though. Please help.
Anni [7]

Answer:

Step-by-step explanation:

A triangle is isosceles if it has two equal sides and two equal angles.

From the diagram, the two perpendicular bisectors divides each base angle into 2 equal parts.

Since the 2 lines of the the perpendicular bisectors cuts across the midpoint of the triangle, it divides both lines JL and LK equally.

This means that lines JL and LK are equal.

Triangle JLK has 3 sides, JL, LK and JK.

Since lines JL and LK are equal, then

Triangle JLK is isosceles since it has two equal sides and 2 equal angles

5 0
3 years ago
Which of the following inequalities matches the graph A) x > -3 B) X< -3 C) y > -3 D) y < -3
lara [203]
Can you take a picture of the graph?
5 0
3 years ago
Read 2 more answers
Translate to equation<br> Two times the number which is three less than X is eight
GrogVix [38]
I’m not sure, you’re not elaborating enough to this equation. Are you sure you’re not missing a phrase of some sort?
8 0
2 years ago
Read 2 more answers
The length of a rectangle is six times its width. If the area of the rectangle is 384^2, find its perimeter.
Leno4ka [110]

Answer:

Perimeter, P = 112 meters

Step-by-step explanation:

  • Let the length of the rectangle be L.
  • Let the width of the rectangle be W.

Translating the word problem into an algebraic expression, we have;

L = 6W  ...... equation 1

<u>Given the following data;</u>

  • Area of rectangle = 384 m²

To find the perimeter of the rectangle;

First of all, we would determine the dimensions of the rectangle using its area.

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = LW  ..... equation 2

Substituting eqn 1 into eqn 2, we have;

384 = 6W(W)

384 = 6W²

Dividing both sides by 6, we have;

W² = 384/6

W² = 64

Taking the square root of both sides, we have;

W = √64

Width, W = 8 meters

Next, we would find the length;

L = 6W

L = 6 * 8

Length, L = 48 meters

Lastly, we would determine the perimeter of the rectangle using the above dimensions;

Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Substituting the values into the formula, we have;

Perimeter, P = 2(48 + 8)

Perimeter, P = 2(56)

<em>Perimeter, P = 112 meters</em>

4 0
3 years ago
A house appreciates (grows in value) about 6% each year. If the house is now worth 158,000, in about how many years will it be w
expeople1 [14]
200,000 = 158,000(1.06)^x
Divide both sides by 158,000
1.2658 = 1.06^x
Take the log of both sides and use the power rule to bring down the exponent (x) to the front.
log 1.2658 = x log 1.06
Divide both sides by log 1.06
log (1.2658)/log(1.06) = x
x = 4 years

CHECK
y = 158,000(1.06)^4
y = 199,471.36
8 0
3 years ago
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