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Harman [31]
2 years ago
10

Which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9? x + 2y = 21

Mathematics
2 answers:
max2010maxim [7]2 years ago
6 0
Yes. x=3 and y =9 are the solutions.
 Because if you change x=3 and y =9 ,you will have 
3+2* 9 =21
3+18 =21
21 =21 (true)
Gekata [30.6K]2 years ago
4 0

Answer:

x + 2y = 21

Step-by-step explanation:

Even other options have not been given in this question, But we will prove that equation that combines to form a system of equations is x + 2y = 21

For this we will prove this equation true for x = 3 and y = 9

x + 2y = 21

3 + 2×9 = 21

3 + 18 = 21

21 = 21

Therefore, equation x + 2y = 21 combines to form a system of equations.

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Find the area of the shape shown below.
Liula [17]

Answer:

31.5

Step-by-step explanation:

We can add the areas together

We have a rectangle and a triangle

The area of the rectangle is

A = lw

   = 7*3

   = 21

The area of the triangle is

A = 1/2 bh

   = 1/2 (7)*3

   = 21/2

   = 10.5

Add them together

A = 21 + 10.5

   =31.5

3 0
2 years ago
Read 2 more answers
A fence is guarding off a vegetable garden in the form of a rectangle. It has one side that is 10m greater than the other side.
DanielleElmas [232]

Answer:

The length of the fence needed to surround this garden is 188 meters.

Step-by-step explanation:

Given : A fence is guarding off a vegetable garden in the form of a rectangle. It has one side that is 10 m greater than the other side.

To find : The length of the fence needed to surround this garden if the area of the vegetable garden is 2184 m² ?

Solution :

Let the one side of rectangle be 'x'.

Then the other side is 'x+10'.

The area of the rectangle is 2184 m²,

i.e. x(x+10)=2184

x^2+10x-2184=0

Solve by middle term split,

x^2+52x-42x-2184=0

x(x+52)-42(x+52)=0

(x+52)(x-42)=0

x=-52,42

Reject negative value,

The side of the rectangle is 42 m.

The other side is 42+10=52 m

The perimeter of the rectangle is P=2(l+b)

P=2(42+52)

P=2(94)

P=188

Therefore, the length of the fence needed to surround this garden is 188 meter.

5 0
1 year ago
Marie bought 1/2 gallon of milk, which she finished after 6 days. If she drank the same amount of milk each day, how many gallon
Rama09 [41]
Gallons per day.......gallons / day.....so u put the gallons over the number of days, then divide

(1/2) / 6 = 1/2 * 1/6 = 1/12 of a gallon per day <==
3 0
2 years ago
Read 2 more answers
Miguel ran for 850 meters and then walked for 2.75 kilometers.
olga55 [171]

Answer:

1900 meters

Step-by-step explanation:

He ran for 850 meters

Walked for 2.75 kilometers, and that's 2.75 * 1000 meters, which is 2750 meters

The total he walked more than he ran is 2750 - 850 = 1900 meters

4 0
2 years ago
The scale factor of a room for a scale drawing is 2.3. The actual length of a wall in the room is 46 feet and the actual width o
dimaraw [331]

Answer:

There's two ways to solve this.

Step-by-step explanation:

First way:

Let's divide the width and length by 2.3.

46÷2.3=20

69÷2.3=30

20×30

600 ft²

Second Way:

Let's find the area of the actual room.

46×69

3,174 ft²

Let's find the scale drawing squared.

2.3²=5.29

3,174÷5.29

600 ft²

3 0
2 years ago
Read 2 more answers
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