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natita [175]
3 years ago
14

(B)

Mathematics
1 answer:
astraxan [27]3 years ago
6 0

Answer:

2. Line RT = 11x - 17, Line PT= 5x + 13

11x - 17 = 5x + 13

11x - 17 = 5x + 13

-5x. -5x

6x - 17 = 13

+17. +17

6x= 30

÷6. ÷ 6

x = 5

(B). According to the rules of a parallelogram, if angle S is 50°, the angle on the same side will be supplementary to it. So, angle R equals 130° and angle Q is also 50°.

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Brenda and her best friend went on a vacation together. They both paid for a flight, and Brenda had a fancy room for $150 per ni
Mila [183]

Answer:

A. 2x + 150y = 1,500

   2x + 120y = 1,320

The flights were $300 each, and they stayed 6 nights.

B. $1,380

Step-by-step explanation:

Let x be the cost of the flight (in one side) and y be the number of nights on their vacation.

A. Brenda had a fancy room for $150 per night, then she paid $150y for y nights.  Brenda's total is $1,500, then

150y+2x=1,500

Brenda's friend had a smaller room for $120 per night, then she paid $120y for y nights.  Brenda's friend total is $1,320, then

120y+2x=1,320

Subtract two equations:

150y+2x-120y-2x=1,500-1,320\\ \\30y=180\\ \\y=6

Substitute into the first equation:

150\cdot 6+2x=1,500\\ \\900+2x=1,500\\ \\2x=600\\ \\x=300

Hence

2x + 150y = 1,500

2x + 120y = 1,320

The flights were $300 each, and they stayed 6 nights.

B. If a third friend joined them and stayed in a mid-range room for $130 per night, then he paid \$130\cdot 6=\$780

The total cost is

\$780+\$600=\$1,380

7 0
4 years ago
Perform the indicated operation.
LenKa [72]
This should be your answer i hope this helps

8 0
4 years ago
Read 2 more answers
76,361 deliveries/hour = deliveries/week<br>​
IrinaK [193]

Answer:

12,828,648 deliveries per week

Step-by-step explanation:

There are 24 hours in one day, and 7 days in a week. Multiply 24 with 7:

24 x 7 = 168

Next, multiply 76361 with 168:

76361 x 168 = 12828648

There are 12,828,648 deliveries per week.

~

3 0
3 years ago
Which of the following are opposite rays?
xxTIMURxx [149]
What are the opposite rays? I can’t see them
5 0
4 years ago
A frustum is made by removing a small cone from a similar large cone. Work out the volume of the frustum, below. Give your answe
AlekseyPX

Answer:

Step-by-step explanation:

volume of cone=1/3 πr²h

volume of frustum=vol of larger cone-vol of smaller cone=1/3πR²H-1/3πr²h

=1/3π(R²H-r²h)

=1/3π(4.5²×9-3²×6)

=1/3π×9×3(4.5×1.5-2)

=9π(6.75-2)

=9π×4.75

=42.75π cm³

3 0
3 years ago
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