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Lapatulllka [165]
3 years ago
13

( use elimination) on 3x+5y=12 and x-3y=4

Mathematics
1 answer:
Elena L [17]3 years ago
7 0

Answer:

x=4 y=0

Step-by-step explanation:

3x+5y=12

-(x-3y=4)

3x+5y=12

3(-x+3y=-4)

3x+5y=12

-3x+9y=-12

14y=0

y=0

Then, substitute the y into the equation to find x

x-3(0)=4

x=4

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Megan paid $2.52 in sales tax on an item that cost $36.00 before tax. At that rate, how much would she pay in sales tax for an i
jeyben [28]

Answer:

She would pay $2.80 in sales tax.

Step-by-step explanation:

This question can be solved by proportions, using a rule of three.

Megan paid $2.52 in sales tax on an item that cost $36.00 before tax. How much in taxes for $40.00 before taxes?

$2.52 - $36.00

x - $40.00

Applying cross multiplication

36x = 40*2.52

x = \frac{40*2.52}{36}

x = 2.8

She would pay $2.80 in sales tax.

7 0
3 years ago
John was swimming for hour and a half hours at a speed of 2 miles per hour. How far did he swim?
alisha [4.7K]

Answer: 1 mile.

Explanation: 1/2 of an hour is 1 mile because the speed was 2 miles an hour so if you do half of that it is 1 mile.

6 0
3 years ago
Read 2 more answers
Solve the equation. <br><br><br> 12=2+z/-6
Bogdan [553]

Answer:

\boxed{\bold{z=-60}}

Step-by-step explanation:

Switch Sides

\bold{2+\frac{z}{-6}=12}

Subtract 2 From Both Sides

\bold{2+\frac{z}{-6}-2=12-2}

Simplify

\bold{\frac{z}{-6}=10}

Multiply Both Sides By -6

\bold{\frac{z\left(-6\right)}{-6}=10\left(-6\right)}

Simplify

\bold{z=-60}

3 0
3 years ago
Read 2 more answers
————PLEASE HELP————-
GuDViN [60]

Answer:

The diameter of Circle P is the same length as the radius of Circle Q.

Step-by-step explanation:

The radius of Circle Q is half of 52cm. So you would divide 52 by 2 and get 26cm as the radius of Circle Q. Therefore, the length of the diameter of Circle P is the same length as the radius of Circle Q.

4 0
3 years ago
Dakota’s parents are creating her practice ballet studio and want to install baseboards around the perimeter of the rectangular
kherson [118]

1. When you estimate, it is not an exact measurement. 3ft 8 in gets rounded to 4ft and 12 ft 3 in rounds to 12ft. now find the perimeter. P=2l+2w P= 2*12 +2*4 P=32feet

2. 3ft 8in = 3 8/12 or reduced to 3 2/3  12ft 3in = 12 3/12 or reduced to 12 1/4   The fractional part is referring to a fraction of a foot.

3. The perimeter of the room is P=2l+2w or P=2(12 1/4) + 2(3 2/3) p=24 1/2 + 7 1/3  P= 31 5/6 feet

4. The estimate and the actual are very close. They are 1/6 of a foot apart.

5a. Total baseboard 31 5/6ft - 2 1/4 ft = 29 7/12 feet needed.

5b. Take the total and divide it by 8ft  = 29 7/12 divided by 8= 3.7  You are not buying a fraction of a board so you would need 4 boards.


4 0
4 years ago
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