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s2008m [1.1K]
3 years ago
5

What is 7x+5y=-12-7x−7y=14

Mathematics
2 answers:
posledela3 years ago
6 0

Answer: x = - 1

y = - 1

Step-by-step explanation:

The given system of equations is expressed as

7x + 5y = - 12- - - - - -- - - - - - - - - -1

- 7x - 7y = 14- - - - -- - - - - - - - - -2

Applying the elimination method, we would eliminate x by adding equation 1 to equation 2. It becomes

5y - 7y = - 12 + 14

- 2y = 2

Dividing the left hand side and the right hand side of the equation by

- 2, it becomes

- 2y/-2 = 2/-2

y = - 1

Substituting y = - 1 into equation 1, it becomes

7x + 5 × - 1 = - 12

7x - 5 = - 12

Adding 5 to the left hand side and the right hand side of the equation, it becomes

7x - 5 + 5 = - 12 + 5

7x = - 7

Dividing the left hand side and the right hand side of the equation by

7, it becomes

7x/7 = - 7/7

x = - 1

kramer3 years ago
3 0

Answer:

x=1/14 and y=1/12

Step-by-step explanation:

7x+5y+12+7x+7y=14

⇒14x+12y=2

and set x and y in 0

then you will have 14*(1/7)=2 and 12*(1*6)=2

and you want somthing that makes x + y =2

so you sett 14*x=1 and 12*y=1

that is if i did noy misunderstanding the question

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Answer:

26.50

Step-by-step explanation:

First we need to calculate the sales tax

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Changing to decimal from

25 * .06

1.50

Then we add the tax to the cost of the shirt

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26.50

We owe 26.50

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A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plu
Alisiya [41]

Answer: They will charge same amount for 360 minutes of calls.

Step-by-step explanation:

A phone company offers two monthly plans plan A cost $9 Plus And additional 0.12 $ for each minute of calls. Plan B cost $27 plus an additional $0.07 for each minute of calls

For what amount of calling do the two plans cost the same?

Let the each minute of calls be 'x'.

So, for plan A would be

plan A cost $9 Plus And additional 0.12 $ for each minute of calls is expressed as

y_1=9+0.12x

Plan B cost $27 plus an additional $0.07 for each minute of calls is expressed as

y_2=27+0.07x

According to question, it becomes,

y_1=y_2\\\\9+0.12x=27+0.07x\\\\0.12x-0.07x=27-9\\\\0.05x=18\\\\x=\dfrac{18}{0.05}\\\\x=360

Hence, they will charge same amount for 360 minutes of calls.

5 0
3 years ago
Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 36 miles at a speed of 6 mph, while
kykrilka [37]

Answer:

Niles and Bob were traveling for 6 hours.

Step-by-step explanation:

The speed or rate at which an object is moving can be computed using the formula:

s=\frac{d}{t}

Here:

<em>s</em> = speed

<em>d</em> = distance traveled

<em>t</em> = time taken

It is provided that Niles and Bob sailed at the same time for the same length of time.

Speed of Niles sailboat is, <em>s</em>₁ = 6 mph.

Distance traveled by Niles' sailboat is, <em>d</em>₁ = 36 miles.

Speed of Bob's sailboat is, <em>s</em>₂ = 16 mph.

Distance traveled by Bob's sailboat is, <em>d</em>₂ = 96 miles.

It took both Niles and Bob the same time to travel the respective distance.

Compute the time it took Niles to travel 36 miles at 6 mph speed as follows:

t_{1}=\frac{d_{1}}{s_{1}}

   =\frac{36}{6}\\=6

It took Niles 6 hours to travel 36 miles at 6 mph speed.

Compute the time it took Bob to travel 96 miles at 16 mph speed as follows:

t_{2}=\frac{d_{2}}{s_{2}}

   =\frac{96}{16}\\=6

It took Bob 6 hours to travel 96 miles at 16 mph speed.

Thus, Niles and Bob were traveling for 6 hours.

7 0
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Help on A and B please
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