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Leni [432]
2 years ago
10

Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard from, given that the point-slope fo

rm is y+1=2/3(x-8)
____x+____y=____
Mathematics
1 answer:
Gnesinka [82]2 years ago
4 0

Answer: 2/3x-y=19/3

Step-by-step explanation:

Points are useless since we already know the point slope form and we can just simply that

y+1=2/3(x-8)

y+1=2/3x-16/3

y=2/3x-19/3

2/3x-y=19/3

You might be interested in
Two thirds of a number is 3 1/2 more than three eights of a number. find the number
julsineya [31]
2/3x = 3.5 + 3/8x
8 • (2/3x) = 3.5 + 3 • (3/8)

16/24 X = 3.5 + 9/24 X
16/24x - 9/24x = 3.5
7/24 X = 3.5
7x/24 = 3.5
24 • (7x/24) = 3.5 • 24
7x = 84
7x/7 = 84/7
X = 12.

The number is 12.
6 0
3 years ago
one tamk of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. To obtain a mixture of
Zarrin [17]

Answer:

20 gallons were used from the tank with the octane rating of 80.

Step-by-step explanation:

Given : One tank of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. To obtain a mixture of 60 gallons with an octane rating of 120.

To find : How many gallons should be used from the tank with the octane rating of 80?

Solution : Let x be the volume of gas whose octane rating is 140 and

y be the volume of gas whose octane rating is 80.

Then, we form the equation as:

(1) x\times140 + y\times80 = 60\times120

140x+80y = 7200

or  7x+4y = 360 .........[3]

(2) x + y = 60

Now multiply equation (2) by 4  

4x + 4y = 240 ...........[4]

Subtract (4) from (3)  

7x+4y-4x-4y=360-240

3x=120

x=\frac{120}{3}

x=40

Put x in equation [4] we get,

4(40) + 4y = 240

160 + 4y = 240

4y = 80

y=\frac{80}{4}

y=20

Therefore, x=40 and y=20

So, 20 gallons were used from the tank with the octane rating of 80.






7 0
3 years ago
Plz help<br> this is also timed and sorry that the screen looks like this:(
Galina-37 [17]

Answer:

2 hours, 15 minutes

B.

Step-by-step explanation:

3:30 to 5:30 is 2 hours elapsed time.

5:30 to 5:45 is 15 minutes elapsed time.

2 hrs + 15 mins =2 hrs 15 mins.

6 0
3 years ago
Read 2 more answers
SOLVE THIS PROBLEM ASAP
zepelin [54]

Answer:

5

Step-by-step explanation:

Use the exponent rule

Simplifying the top of the fraction

5^2*5*5^3=5^2+1+3=5^6

Simplifying the bottom of the fraction 5^4*5=5^4+1=5^5

Our simplified fraction is 5^6/5^5, which is just 5^6-5 which is 5^1 or 5.

Therefore, the answer is 5.

4 0
2 years ago
Read 2 more answers
Help me on number six
Anna11 [10]
If you divide 4.16 by 5.20 you get .8 which would be .80 cents a pound
8 0
3 years ago
Read 2 more answers
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