if a is a rational number and b is a rational why could c be an irrational number

Answer:

[tex]f=\frac{9c}{5}+32[/tex]

Step-by-step explanation:

[tex]c=\frac{5\left(f-32\right)}{9}[/tex]

Switch sides:

[tex]\frac{5\left(f-32\right)}{9}=c[/tex]

Multiply both sides by 9:

[tex]\frac{9\times5\left(f-32\right)}{9}=9c[/tex]

[tex]5\left(f-32\right)=9c[/tex]

Divide both sides by 5:

[tex]\frac{5\left(f-32\right)}{5}=\frac{9c}{5}[/tex]

[tex]f-32=\frac{9c}{5}[/tex]

Add 32 to both sides:

[tex]f-32+32=\frac{9c}{5}+32[/tex]

[tex]f=\frac{9c}{5}+32[/tex]

Step-by-step explanation:

Additive inverse is when you have a positive number, for example, and it becomes a negative.

Example: 8

The additive inverse of 8 is -8.

So the answer is false.

-64+17 and -64-(-17) is an example of communative property.

Hope it helps!

Answer:

gsscxcccvvccc aaaaawaaq

[tex]\frac{3}{1}[/tex]Answer:

Step-by-step explanation:

3x-y = 2

2x+y =4

put them into slope intercept form

y=3x-2

y=-2x+4

Now, you can either graph it or use substitution

3x-2 = -2x+4

+2x +2x

5x -2 = 4

+2 +2

5x = 6

5x/5 = 6/5

x = 6/5

3x -2 = y

3(6/5) -2 = y

3 x 6 / 1 x 5 = 18/5

3 3/5 -2 = 1 3/5

Let me know if it's wrong.

Hope this helps

Answer:

5 cups

Step-by-step explanation:

Answer:

1/2 : 1

2 : 4

3 : 6

Notice that every ratio consists of a number and double the number.

For 1/2 cup lemon juice, use 1 cup sugar.

The amount of sugar is twice the amount of lemon juice.

The ratio is 1:2

Since you are told the ratio is 1:r, that means r is 2.

The unit rate is 2 cups sugar per cup of lemon juice.

Step-by-step explanation:

Answer:

GH is equal to 6x

Step-by-step explanation:

GH is equal to 6x because this has been given to us.

Answer:

9.25

Step-by-step explanation:

5(0.3) = 1.5

20-1.5=18.5

18.5÷2=9.25

Answer:

Step-by-step explanation:

5x + 2y = 20

when x = 0.3 we have

5(0.3) + 2y = 20

1.5 + 2y = 20

Using the subtraction property subtract 1.5 from both sides of the equation

That's

1.5 - 1.5 + 2y = 20 - 1.5

2y = 18.5

Divide both sides by 2

[tex] \frac{2y}{2} = \frac{18.5}{2} [/tex]

We have the final answer as

Hope this helps you

Answer:

positive or negative 4

Step-by-step explanation:

p(x) is another form of saying y. plug in -1 as the y value. then look where on the graph it touches the line

Answer: 4(a+2b−6)

Hope this helps!

Hey there! I'm happy to help!

Here's how to find the distance between any two points.

Subtract the x values.

5-(-1)=5+1=6

Square that.

6²=36

Subtract the y values.

0-4=-4

Square that.

-4²=16

Add the two numbers you got.

36+16=52

And square root it.

√52≈7.2.

Have a wonderful day! :D

Answer:

I don’t have the answer but I recommend downloading socratic I use this app and it is so helpful

Step-by-step explanation:

It helps me with all my questions

Answer:

[tex] \frac{5}{2} [/tex]

Step-by-step explanation:

[tex]5x - 2y = 13 \\ 5x - 13 = 2y \\ 2y = 5x - 13 \\ y = \frac{5}{2} x - \frac{13}{2} \\ equating \: it \: with \\ y = mx + b \\ slope(m) = \frac{5}{2} [/tex]

Answer:

= 6

Step-by-step explanation:

[tex]\sqrt{4b}\\ b = 9\\then:[/tex]

= √(4*9)

= √36

= 6

Answer:

8 lines

Step-by-step explanation:

5 yards = 4.572 meters

40 m /4.572 = 8.7489063867

8 lines

Answer:

Distance=Speed×Time

When speed is 40 kmph

Distance traveled by car =40×9

=360 km

When speed is 60 kmph

Time taken to complete the journey =

60

360

=6 hours

Answer:

120 seconds/2 minutes

Step-by-step explanation:

divide the distance (270 m) by the rate (2.25 m/s) and you have 270/2.25 = 120 seconds, or 2 minutes.

It will take Ari 120 seconds to jog 270 meters.

To find the time it will take Ari to jog 270 meters at an average rate of 2.25 meters per second, we can use the formula:

Time = Distance / Rate

where:

Distance = 270 meters

Rate = 2.25 meters per second

Time = 270 meters / 2.25 meters per second

Time = 120 seconds

Therefore, it will take Ari 120 seconds to jog 270 meters.

To know more about jog:

https://brainly.com/question/14495883

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Explanation:

15+35.50 = 50.50 dollars is the total before tax is applied.

Take 8.25% of this to get

0.0825*50.50 = 4.16625

and this rounds to 4.17, which is the amount of sales tax charged.

$4.17 = 4 dollars + 17 cents

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Extra info:

The grand total will be 50.50+4.17 = 54.67

Another way to get the grand total is to multiply 1.0825 by the previous subtotal (50.50) getting 50.50*1.0825 = 54.66625 and that rounds to 54.67

The multiplier 1.0825 effectively means "increase by 8.25%"

Answer:6x=

2=

X=1.5

Step-by-step explanation:

Answer: 20 mL

Step-by-step explanation:

According to Archimedes, the upward force exerted on a body immersed in a fluid is equal to the weight of the fluid the body displaces.

i.e. weight of the object = weight of the fluid displayed

Given: George put 25 mL of water into a graduated cylinder. After adding a solid object, the water level in the cylinder rose to 45 mL.

So, the volume of the object = New volume - Original volume

= 45 mL - 25 mL

= 20 mL

Hence, the volume of the object =20 mL

Minus means subtraction.

Plus means addition.

Divided means division.

Two hundred fifty nine minus eighty five plus sixty two divided by two:

259 - 85 + 62 / 2

Solution:

259 - 85 + 62 / 2

259 - 85 + 31

174 + 31

205

Best of Luck!

Answer:

259 - 85 + 62 ÷ 2

And if you need the answer to this expression its 205

Answer:

y=-5x

Step-by-step explanation:

this is because slope intercept form is y=mx+b

if m= -5 and b=0 the answer would be

y=-5x+0

simplified it would be

y=-5x

Answer:

5 and 6.

Step-by-step explanation:

5^2 = 25 and 6^2= 36

As we know, 32 is between 25 and 36, therefore √32 is between √25 and √36.

Answer:

(C) [tex]h = \frac{2a}{b}[/tex]

Step-by-step explanation:

Here we have the formula for the area of a triangle: [tex]A = \frac{1}{2}bh[/tex]. Our goal is to isolate h on one side of the equation.

To do this, let’s treat the rest of the equation as if there were no variables.

Multiply both sides by 2:

[tex]2a = bh[/tex]

Divide both sides by [tex]b[/tex]:

[tex]\frac{2a}{b} = h[/tex]

Hope this helped!

Answer:

1-4x

Step-by-step explanation:

C (the bottom left one), because the number of total possible spins that C has is 10, which therefore answers the question.

Answer:

B.61kg

Step-by-step explanation:

use the formula

force÷acceleration=mass

183÷3=61kg

Answer:

y=-2x+6

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Step-by-step explanation:

Answer:

It has traveled 325 miles

Answer:

In 1 hour truck travels 65 miles

In 5 hours, truck travels 65*5= 325 miles