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MariettaO [177]
3 years ago
10

Solve the system by substitution. -x-y-z=-8 -4x+4y+5z=7 2x+2z=4

Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0
1. x=−y+8−z 2.x=−​7−4y−5z (everything over 4) ​​ 3.x=2−z 1.y=-x+8-z 1.z=-x+4-y 2.y=7+4x-5x (everything over 4) 2.z=7+4x-4y (everything over 5) 3.z=2-x
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What is the formula of dilation?
xeze [42]

Answer: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

Step-by-step explanation:

5 0
1 year ago
The tank at a gas station contained 400 gallons of gas. A tanker truck that contained 8,100 gallons of gas filled the station's
spin [16.1K]

Answer:

1300

Step-by-step explanation:

Let the amount put in the station's tank = x

4(400 + x) = 8100 - x                           Remove the brackets

1600 + 4x = 8100 - x                            Subtract 1600 from both sides

1600 - 1600 + 4x = 8100 - 1600 - x     Do the subtraction

4x = 6500 - x                                        Add x to both sides

4x + x = 6500 - x + x        

5x = 6500                                            Divide by 5

5x/5 = 6500/5                                      

x = 1300

1300 gallons were added to the station's tank.

3 0
3 years ago
Read 2 more answers
Sue invests £9000 in an account for one year.
Anika [276]

Answer:

£151.20

Step-by-step explanation:

20%= 100%divided by 5

To find 100% from 20% you x by 5

so you times 30.24 by 5

30.24x 5 = 151.2

So the answer is £151.20

interest percentage rate would be 1.6754%

3 0
3 years ago
Alex and payton each have a favorite pancake recipe. Alexs recipe uses 7 1/2 cups of flour for 5 batches, paytons recipe uses 3/
Elina [12.6K]

Answer:

9/4z cups

Step-by-step explanation:

Alex recipe uses 7 1/2 cups of flour for 5 batches

Cups of flour per batch = 7 1/2 cups ÷ 5 batches

= 15/2 ÷ 5

= 15/2 × 1/5

= (15*1)/(2*5)

= 15/10

Alex recipe per batch= 3/2 cups of flour per batch

paytons recipe uses 3/4 cup of flour more per batch than alexs recipe

Payton's recipe per batch = Alex recipe per batch + 3/4 cups

= 3/2 + 3/4

= (6+3)/4

= 9/4 cups of flour

Payton's recipe per batch = 9/4 cups of flour

What expression can be used to determine the number of cups of flour used to make z batches of paytons pancake recipe

Payton's recipe for z batches = Payton's recipe per batch * number of batches

= 9/4 cups * z batches

= 9/4z cups

Payton's recipe for z batches = 9/4z cups

3 0
3 years ago
Express 1/10 cm as a fraction of 3 metres​
Liula [17]

Answer:

1/3000

Step-by-step explanation:

3 meters to centimeters:

3 × 100 = 300

= 1/10 ÷ 300

= 1/10/300

= 1/(10×300)

= 1/3000

7 0
3 years ago
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