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vaieri [72.5K]
4 years ago
7

We want to place a bench measuring 7.05 feet in the center of a platform that is 40.75 feet long

Mathematics
1 answer:
AnnyKZ [126]4 years ago
5 0
40.75 - 7.05= 33.7
33.7 / 2 = 16.85 
16.85 ft. should be on each side of the 7.05 ft. bench 
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2(x+y)=23-2y <br>6x-7=20-5y​
slavikrds [6]

Answer:

the solution is (-1/2, 6).

Step-by-step explanation:

Next time, please share the instructions.

Start by carrying out the indicated multiplication:

2x + 2y = 23 - 2y

Consolidate l ike terms:  combine 2y and -2y:  result:  +4y on the left side:

2x + 4y = 23

Let's solve this system using elimination by substitution.  Multiply 2x + 4y = 23 by -3 to obtain a -6x term:

-3(2x + 4y = 23) = -6x - 12y = -69.  Now combine this result with the second equation:

-6x - 12y = -69

6x + 5y  = 20 + 7

-------------------------

        - 7y = -42

Dividing both sides by -7, we get y = 6.  Subbing 6 for y in the 2nd equation, we get:

6x = 27 -5(6), or

6x  =  27 - 30 = -3

Then x = -3/6, or x = -1/2

and the solution is (-1/2, 6).

3 0
3 years ago
At 106°F, a certain insect chirps at a rate of 67 times per minute, and at 108°F, they chirp 83 times per minute. Write an equat
Step2247 [10]

Answer:

y=8x-781

Here, x represents temperature and y denotes rate of chirping per minute.

Step-by-step explanation:

Let x represents temperature and y denotes rate of chirping per minute.

At 106°F, a certain insect chirps at a rate of 67 times per minute.

Take (x_1,y_1)=(106,67)

At 108°F, they chirp 83 times per minute.

Take (x_2,y_2)=(108,83)

Slope intercept form:

y-y_1=(\frac{y_2-y_1}{x_2-x_1})(x-x_1)

y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{83-67}{108-106})(x-106)\\\\y-67=(\frac{16}{2})(x-106)\\\\y-67=8(x-106)\\y-67=8x-848\\y=8x+67-848\\y=8x-781

3 0
3 years ago
Evaluate the following 3×6+14 Divided by 2+7
Bingel [31]

Answer:

32/9 = 3.555555556

6 0
3 years ago
How to simplify 6+(3-5x)?
MariettaO [177]

Answer:

9-5x

Step-by-step explanation:

You distribute to get 6+3-5x and then you combine the 6 and the 3 to get 9

8 0
3 years ago
I really need some help
defon

Answer:

405,376

Step-by-step explanation:

the question is worded weirdly.

Its saying 37,700 copies were sold in one month and then that amount is 9.3% of books sold to date. So, its saying that 37,700 is only 9.3% out of 100%. To get the hundred i devided 37,700 into 9.3 to see how much 1% is. then i multiplied that by 100

8 0
3 years ago
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