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frez [133]
3 years ago
6

Solve-2a-5>3 Which graph shows the solution?

Mathematics
1 answer:
Ivanshal [37]3 years ago
6 0
Let's solve your inequality step-by-step.
−
2
a
−
5
>
3
Step 1: Add 5 to both sides.
−
2
a
−
5
+
5
>
3
+
5
−
2
a
>
8
Step 2: Divide both sides by -2.
−
2
a
−
2
>
8
−
2
a
<
−
4
Answer:
a
<
−
4


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what is the equation of the line that is parallel to 6x-2y=4+6y and passes through the point (8, -16)?
Alisiya [41]

Answer:

y=\frac{3}{4}x-22

Step-by-step explanation:

We are given;

  • The equation of a line 6x-2y=4+6y
  • A point (8, -16)

We are required to determine the equation of a line parallel to the given line and passing through the given point.

  • One way we can determine the equation of a line is when we are given its slope and a point where it is passing through,

First we get the slope of the line from the equation given;

  • We write the equation in the form y = mx + c, where m is the slope

That is;

6x-2y=4+6y

6y + 2y = 6x-4

8y = 6x -4

We get, y = 3/4 x - 4

Therefore, the slope, m₁ = 3/4

But; for parallel lines m₁=m₂

Therefore, the slope of the line in question, m₂ = 3/4

To get the equation of the line;

We take a point (x, y) and the point (8, -16) together with the slope;

That is;

\frac{(y--16}{x-8}=\frac{3}{4}

4(y+16)=3(x-8)\\4y + 64 = 3x - 24\\4y=3x-88\\ y=\frac{3}{4}x-22

Thus, the equation required is y=\frac{3}{4}x-22

4 0
3 years ago
Help me please !!!!!!
Tanya [424]
#2: 4 cans : $2.36 =  13 : $7.67  SCALE FACTOR: $7.67 divided by $2.36 = 3.25
                                                 Use the SF to multiply the missing information.
                                                 So 4 cans x 3.25 = 13
 
YOU CAN BUY 13 CANS FOR $7.67

#4: 2 eggs: 1 1/2 cups of eggs : 10 pancakes =   :     : 35 pancakes
                                             
SCALE FACTOR: 35 pancakes divided by 10 pancakes= 3.5
Use the SF to multiply the missing information
So: 2 eggs x 3.5 = 7

7 EGGS WILL BE NEEDED TO MAKE 10 PANCAKES

#6: 54 pounds: 1 acre = pounds: 12.5 acres

SCALE FACTOR: 12.5 divided by 1 acre= 12.5
Use the SF to find out the mussing information
So, 54 pounds x 12.5 = 675 pounds

THE FARMER CAN HARVEST 675 POUNDS WITH 12.5 ACRES OF FIELD

#8: 90 miles: 120 minutes (5 hours) = 225 miles : 300 minutes (5 hours) 

SCALE FACTOR: 225 miles divided by 90 miles = 2.5
Use the SF to figure out the missing information
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4 0
3 years ago
An algebraic expression, where "a number" is the letter x. You do not need to simplify.
Lemur [1.5K]

Answer:

x^3-7

Step-by-step explanation:

The cube of a number means that it is to the power of 3 and 7 is subtracted is just the number cubed and then minus 7.

4 0
3 years ago
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bearhunter [10]

I wish you good lessons

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3 years ago
TO BILL CUSTOMERS FOR WATER USAGE ONE CITY CONVERTS THE NUMBER OF GALLONS USED INTO UNITS THIS RELATIONSHIP IS REPRESENTED BY TH
Ksenya-84 [330]

Answer:

1. G IS A DEPENDENT VARIABLE

2.U IS THE INDEPENDENT VARIABLE

Step-by-step explanation:

G is a dependent variable because its values will rely on the values of U multiplied by 748. A dependent variable in most cases is isolated on one side of an equation ( mostly the left-hand side) and it value is affected by the values selected on the other side of the equation.

U is an independent variable because it stands on its own such that it does not rely on the behavior of another variable to determine its value/characteristic.Characteristic here i mean , U is freely selected without considering the behavior of other variable, thus it does not face any restrictions as compared to G.

4 0
2 years ago
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