A moving company charges $800 plus $16 per hour. Another moving company charges $720 plus $21 per hour. How kind is a job that costs the same no matter which company is used?

Answers

Answer 1

Answer: 800 + 16h = 720 + 21h
80 = 5h
h = 16 hr

1200 + 100d = 3230 – 190d
290d = 2030
d = 7 days

2500 + 150m = 3000 + 125m
25m = 500
m = 20 months

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Which equation represents the line that passes through the points (-3, 7) and (3, 3)?

4.5.11Mohamed wrote the paragraph proof to show that ADEG AEFG. What mistake did he make?
ADEG and AEFG are right triangles.
The figure shows DE = EF, AND
EG EG by the Reflexive Property.
Therefore, by the HL theorem,
ADEG AEFG
G
X Х
Choose the correct answer below.
O A. The two triangles are congruent by SAS, not the HL Theorem.
O B. In AEFG, EF is a leg and in ADEG, DE is the hypotenuse, so they cannot be corresponding sides.
O C. The two triangles are congruent by SSS, not the HL Theorem.
OD. In AEFG, EG is a leg, and in ADEG, EG is the hypotenuse, so they cannot be corresponding sides.

Answers

The two triangles are congruent by SAS, not the HL theorem. Therefore, the correct answer is option A.

Triangle DEG and triangle EFG are right triangles.

The figure shows DE=EF (Given)

EG=EG by the reflexive property.

Therefore, by the HL theorem, Triangle DEG and triangle EFG are congruent.

Here, Mohamed stated postulate wrong.

By SAS postulate, Triangle DEG and triangle EFG are congruent.

Therefore, the correct answer is option A.

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Answer:B?

Step-by-step explanation:

A hiker is lost in the woods. A search team has created a coordinate grid to represent the woods. Each unit on the grid is one square mile. The hiker was last seen at (5, 10) and could have walked 12 miles in any direction since then. Which equation represents the area the hiker could be in? A)
(x - 5)2 + (y - 10)2 = 122

B)
(x + 5)2 + (y + 10)2 = 122

C)
(x - 10)2 + (y - 5)2 = 122

D)
(x + 10)2 + (y + 5)2 = 122

Answers

The correct answer is A) (x-5)²+(y-10)²=12².

The graph of possible locations would be a circle, since he could be in any direction. 12 would be the radius, since he could be 12 miles away. The center of the circle would be his last location. The equation of a circle is given by:

(x-h)²+(y-k)²=r²

Since (5, 10) is the center and 12 is the radius, this gives us
(x-5)²+(y-10)²=12²

Please help me ......

Answers

For the first problem, when you see expression like that it just means to write it twice, then FOIL it.
(2x-6) (2x-6)
If you don't know what FOIL is let me know and I can further explain it!

This also applies for the second question!

Solve each equation 1) log5-log2x=1 2) 2log(x+1)=5

Answers

$1)\nlog5-log2x=1;\ D:x > 0\n\nlog(5:2x)=log10\n\nlog(5)/(2x)=log10\iff(5)/(2x)=10\n\n20x=5\ \ \ /:20\n\nx=(1)/(4)\in D$

$2)\n2log(x+1)=5;\ D:x+1 > 0\to x > -1\n\nlog(x+1)^2=log10^5\iff(x+1)^2=10^5\n\nx+1=-√(10^5)\ \vee\ x+1=√(10^5)\n\nx+1=-√(10^4\cdot10)\ \vee\ x+1=√(10^4\cdot10)\n\nx=-100√(10)-1\notin D\ \vee\ x=100√(10)-1\in D$

A welder needs apiece of half-inch pipe18 3/4 in. Long. she has a piece the is 28 1/8 in. Long. how much must she cut off from the longer piece?

Answers

I got 9 and 3/8 because you would subtract 18 3/4 from 28 1/8

Final answer:

The welder needs to cut off 9 3/8 inches from the longer piece.

Explanation:

To determine how much the welder needs to cut off from the longer piece of pipe, we need to find the difference between the lengths of the two pieces.

Given that the longer piece is 28 1/8 inches and the desired length is 18 3/4 inches, we can subtract the desired length from the longer piece's length:

28 1/8 - 18 3/4 = 9 3/8

Therefore, the welder needs to cut off 9 3/8 inches from the longer piece of pipe.

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Will is building a playhouse for his cousin. He wants the playhouse to be 50 percent taller than his cousin, who is 46 inches tall. How tall should the playhouse be?

Answers

Answer:

69 inches

Step-by-step explanation:

mutiply 46 and .50 then add that to 46 then you get your answer

Final answer:

The playhouse should be 69 inches tall.

Explanation:

To ascertain the height of the playhouse, we embark on a straightforward calculation. It involves deriving 50% of Will's cousin's height and subsequently adding this value to the cousin's actual height. Starting with the cousin's height, which is 46 inches, we calculate half of it by multiplying 46 by 0.5, yielding 23 inches. This represents half of the cousin's height.

To determine the playhouse's overall height, we combine this value with the cousin's original height: 46 inches (cousin's height) + 23 inches (50% of cousin's height) equals 69 inches in total. Therefore, the height of the playhouse stands at 69 inches. This method showcases the application of percentages and simple addition to solve real-world problems, making it a valuable skill in practical mathematics.

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