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Lelechka [254]
3 years ago
14

3t – 7 = 5t, then 6t = __?

Mathematics
1 answer:
Sholpan [36]3 years ago
3 0
Solve for t
3t-7=5t
subtract 3t
3t-3t-7=5t-3t
0-7=2t
-7=2t
divide 2
-7/2=t
subsitute
6t=6(-7/2)=-42/2=-21

6t=-21
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Slope is 3/7,and (4,9) is on the line
TiliK225 [7]

Answer:

y-9=\frac{3}{7}(x-4)

or

y=\frac{3}{7}x+\frac{51}{7}

Step-by-step explanation:

To write the equation of the line using a slope and a point, use the point-slope formula y-y_1 = m(x-x_1). Here m is 3/7. And the point (x_1,y_1) is (4,9). Substitute the values and simplify.

y-y_1=m(x-x_1)\\y-9=\frac{3}{7}(x-4)\\y-9=\frac{3}{7}x - \frac{12}{7}\\y=\frac{3}{7}x -\frac{12}{7} + 9\\y=\frac{3}{7}x + \frac{51}{7}

Both the point slope form and the final simplified form are considered equations of the line.

3 0
3 years ago
A student’s work is shown below.
Scorpion4ik [409]
The student solved the problem incorrectly. The student should add 12.7 to both sides of the equation to isolate the variable, y.
6 0
4 years ago
Mailboxes Plus sends packages overnight for $5 plus $0.25 per ounce. United Packages charges $2 plus $0.35 per ounce. Me. Molina
scZoUnD [109]

Answer:

30 ounces

Step-by-step explanation:

You first have to write out the two equations:

5+0.25x=y

2+0.35x=y

Then simply equal the equations to each other:

5+0.25x=2+0.35x

Subtract the 2 from both sides:

3+0.25x=0.35x

Subtract the 0.25x from both sides:

3=0.10x

Divide the 0.10 on both sides:

30=x

So, 30 ounces is your answer!

You can check by plugging 30 back into the equations to make sure that they are equal to each other.

5+0.25(30)=12.5

2+0.35(30)=12.5

5 0
3 years ago
steve earns extra money babysitting , he charges $27.00 for 4 hours and $47.25 for 7 hours. enter an equation to represent the r
Rina8888 [55]

Answer:

y=6.75x

Step-by-step explanation:

he xharges 6.75 per hour, so 6.75x equals the total price, y

4 0
3 years ago
30 points ASAP! <br> Help!!! Explanation would be great of how to do it.
Fofino [41]
<h3>Answer:   14400</h3>

Chances are your teacher doesn't want you to enter any commas. You won't type in the dollar sign either.

============================================================

Explanation:

Nice work on selecting the correct equation to set up.

We'll cross multiply to help solve for x.

The idea of cross multiplication is that \frac{A}{B} = \frac{C}{D} turns into A*D = B*C

So,

\frac{5040}{280000} = \frac{x}{800000}\\\\5040*800000 = 280,000*x\\\\4,032,000,000 = 280,000x\\\\280000x = 4,032,000,000\\\\x = \frac{4,032,000,000}{280,000}\\\\x = 14,400\\\\

That means the person would pay $14,400 on a property worth $800,000.

4 0
3 years ago
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