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Brilliant_brown [7]
3 years ago
13

Which ordered pairs in the form (x, y) are solutions to the equation 7x−5y=28?

Mathematics
1 answer:
belka [17]3 years ago
6 0

Answer:7x + -5y = -28

(-4, _)

(1, _)

(_, 14)

Step-by-step explanation:

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0. A local lawn service charges $6.00 per cut plus $2.50 per gallon of gas
xenn [34]

Answer:

C = 6 + 2.5g

Step-by-step explanation:

A local lawn service charges $6.00 per cut plus $2.50 per gallon of gas  used.

If in a cut g gallons of gas is used then, the cost for gas used will be $2.5g and there is a fixed charge of $6.00 per cut.

Therefore, in total the cost per cut becomes 6 + 2.5g and if we represent the total cost as C, then we can write  

C = 6 + 2.5g. (Answer)

3 0
3 years ago
m∠1 is 4 times m∠2. ∠1 and ∠2 are complementary. ∠1 and ∠3 are vertical angles. ∠3 and ∠4 are supplementary. What are the measur
kherson [118]

Answer:

Step-by-step explanation:

Let's write a system of equations. I'm going to call them w, x, y, and z.

w = 4x (because m∠1 is 4 times m∠2)

w + x = 90 (bc ∠1 and ∠2 are complementary, meaning they add up to 90)

w = y (bc ∠1 and ∠3 are vertical angles, meaning they are equal)

y + z = 180 (bc ∠3 and ∠4 are supplementary, meaning they add up to 180)

When we substitute w=4x into the second equation, we get 5x=90 → m∠2 = 18°. Since w=4x, m∠1 = 18*4 = 72°. Since w=y, m∠3 = 18°. Finally, because y+z=180, m∠4 = 180-18 = 162°. Hope this helps!

3 0
3 years ago
Please help! provide thorough explanation and use elimination method!!
ICE Princess25 [194]

Multiply both sides of the second equation by 100 to get rid of the decimals:

0.05<em>n</em> + 0.10<em>d</em> = 1.50

==>  5<em>n</em> + 10<em>d</em> = 150

Multiply both sides of the first equation by -5:

<em>n</em> + <em>d</em> = 21

==>  -5<em>n</em> - 5<em>d</em> = -105

Add the two equations together:

(5<em>n</em> + 10<em>d</em>) + (-5<em>n</em> - 5<em>d</em>) = 150 + (-105)

Notice that the terms containing <em>n</em> get eliminated and we can solve for <em>d</em> :

(5<em>n</em> - 5<em>n</em>) + (10<em>d</em> - 5<em>d</em>) = 150 - 105

5<em>d</em> = 45

<em>d</em> = 45/5 = 9

Plug this into either original equation to solve for <em>n</em>. Doing this with the first equation is easiest:

<em>n</em> + 9 = 21

<em>n</em> = 21 - 9 = 12

So Donna used 12 nickels and 9 dimes.

8 0
3 years ago
How many solutions does 3.2p-2.5+2.1p=5p-7/2
Sergio039 [100]

Answer:

-3.3...

Step-by-step explanation:

3.2p-2.5+2.1p=5p-7/2

3.2p+2.1p-5p=-7/2+2.5

5.3p-5p=-7/2+2.5

0.3p=-1

p=-1/0.3

p=-3.3

5 0
4 years ago
If y-18=14 what is the value of 3(y+5)?
svlad2 [7]
y-18=14\ \ \ /+18\\\\y-18+18=14+18\\\\y=32\\\\substitute\ to\ 3(y+5):\\\\3\cdot(32+5)=3\cdot37=111
4 0
3 years ago
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