Find a rational number between -1/4 and 2/5

Answers

Answer 1
Answer:

Answer:

s =(3)/(40)

Step-by-step explanation:

Let find the middle point between both rationals. That is to say:

s = (-(1)/(4)+(2)/(5) )/(2)

s = ((-5+8)/(20) )/(2)

s =(3)/(40)


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Difference of squares 196a^2-b^2

Answers

Yep.  That's what it is, alright.
196a²  is the square of  14a , and  b²  is the square of  'b' .
Is there something you need done with the expression ?

Prasant wants to write a statement that can be represented by the inequality h>4.5 Which describes the correct method to write a statement to match this inequality?

Answers

Answer:   Decide what the variable will represent. Decide what the constant will represent. Use the inequality symbol to determine the relationship between the variable and the constant. Write a statement using the same relationship. An example is “Doreen studied more than 4.5 hours for a history test.”

Step-by-step explanation:

I just took the quiz on ed and I got it right

Answer:

Prasant needs more than 4.5 bags of candy to hand out during Halloween.

Step-by-step explanation:

A circuit is supplied with 24 volts and its load offers a total resistance of 400 ohm. What’s the total circuit power?

Answers

Answer:

P = 1.44 Watts

Step-by-step explanation:

We know that the relation between voltage and current in a simple circuit with a resistor is

V = I.R

Where

V = the voltage of the source

I = current of the circuit

R = resistance

The power is defined as

P = V.I

Which is the same as

P = V.(V/R)

P = (24 v)^2 / (400 ohm)

P = 1.44 Watts

How many 9000 millileters are liters

Answers

9000 milliliters is 9 liters.

1 liter = 1000 milliliters.

Help what is x^2-2x-24=0 I know you can use quadratic formula I just forgot how examples always help :)

Answers

There are another way to solve a quadratic equation we call, Sum and product.

Let's see how we can do this...

x^2-2x-24=0

Sum=-(b)/(a)

Product=(c)/(a)

therefore

Sum=-((-2))/(1)=2

Product=(-24)/(1)=-24

now we have to pick up 2 numbers that the sum should be 2 and the product should be -24, we just have to think a little.

Let's try -3 and 8, for example.

8+(-3)=5

8*(-3)=-24

Doesn't work.

Let's try now 4 and -6.

4+(-6)=-2

4*(-6)=-24

Can you see here, that we have to change the signal?!

therefore

Let's try -4 and 6

6+(-4)=2

6*(-4)=-24

Sum=2

and

Product=-24

Them it works.

\boxed{\boxed{x_1=-4~~and~~x_2=6}}
x^2-2x-24=0\n\na=1;\ b=-2;\ c=-24\n\n\Delta=b^2-4ac\n\n\Delta=(-2)^2-4\cdot1\cdot(-24)=4+96=100\n\nx_1=(-b-\sqrt\Delta)/(2a);\ x_2=(-b+\sqrt\Delta)/(2a)\n\nx_1=(2-√(100))/(2\cdot1)=(2-10)/(2)=(-8)/(2)=-4\n\nx_2=(2+√(100))/(2\cdot1)=(2+10)/(2)=(12)/(2)=6

-8y + 6 + 4y >14 I don't understand this question I got 4y> but I don't think this is correct

Answers

so
try to get the placeholder by itself
add like terms
-8y+4y+6>14
-4y+6>14
subtract 6 from both sdies
-4y>8
multiply by -1
remember if multiply  by -1 then flip sign
4y<8
divide by 4
y<2

so y<2
-8y+6+4y>14

-4y+6>14

-4y>8