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damaskus [11]
3 years ago
7

Solve for e.9e + 4 = -5e + 14 + 13e

Mathematics
2 answers:
sladkih [1.3K]3 years ago
5 0

Answer:

10.

Step-by-step explanation:

9e + 4 = -5e + 14 + 13e

9e + 5e - 13e = 14 - 4

e = 10

lora16 [44]3 years ago
5 0

Answer:

10

Step-by-step explanation:

9e + 4 = -5e + 14 + 13e

9e + 4 = 8e + 14

9e - 8e = -4 + 14

e = 10

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What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3) ?
Lisa [10]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the figure, the line goes through the following points:

(x_ {1}, y_ {1}) :( 8, -10)\\(x_ {2}, y_ {2}): (- 8,10)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {10 - (- 10)} {- 8-8} = \frac {10 + 10 } {- 16} = \frac {20} {- 16} = - \frac {5} {4}

By definition, if two lines are perpendicular then the product of their slopes is -1:

m * - \frac {5} {4} = - 1\\m = \frac {-1} {- \frac {5} {4}}\\m = \frac {4} {5}

Thus, the equation is of the form:

y = \frac {4} {5} x + b

If the line goes through (x, y) :( 5,3)we have:

3 = \frac {4} {5} (5) + b\\3 = 4 + b\\3-4 = b\\-1 = b

Finally, the equation is:

y = \frac {4} {5} x-1

Algebraically manipulating we have:

y + 1 = \frac {4} {5} x\\5y + 5 = 4x\\4x-5y = 5

Answer:

Option A

6 0
4 years ago
A local charity is selling seats to a baseball game. Seats cost $24 each, and snacks cost an additional $6
Crazy boy [7]

Answer:

To raise exactly $240, the charity needs to sell 20 snacks.

Step-by-step explanation:

Let

s = number of seats sold

y = number of snacks sold

Seats cost $24 each, then s seats cost $24s.

Snacks cost an additional $6 each, then y snacks cost $6y.

In total, s seats and y snacks cost $(24s+6y).

The charity needs to raise $240 to consider this event a success, so

24s+6y=240

If 5 seats are sold, then

24\cdot 5+6y=240\\ \\120+6y=240\\ \\6y=240-120\\ \\6y=120\\ \\y=20

To raise exactly $240, the charity needs to sell 20 snacks.

To solve this problem graphically, plot the graph of the line 24s+6y=240 and find on this line point with s-coordinate 5. This is exactly point (5,20), so the charity needs to sell 20 snacks.

5 0
3 years ago
Round the following number as a indicated 106,513 down to a hundred thousand start with a hundred thousand first
sergiy2304 [10]

Answer:

100,000

Step-by-step explanation:

7 0
3 years ago
Solve for the value of v.<br> (56+6)<br> (40+3)
lesantik [10]

Answer:

2666 if you multiply the sum of the parenthesis

but if you add them then the answer is 105

Step-by-step explanation:

56+6=62

40+3=43

62•43= 2666

6 0
3 years ago
Ayesha ordered a bed set on 4th August, 2020. It was delivered to her house 9 months 2 weeks 4 days later. When was the bed set
astraxan [27]

Answer: I think it’s 22 May 2021

Step-by-step explanation:-

First Step ) August 2020 + 9 Months = May 2021

Second Step ) 4 + 7*2 ( two weeks has 14 days ) or 4 + 7 + 7 = 18

Third Step ) 18 + 4 Days Later = 22

So final answer would be 22 May 2021.

Hope it helps, Good Day! And happy reading

( P.S ) The bed set took a lot of time to arrive xD

8 0
3 years ago
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