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2 years ago

Which of the following represents "the average of 171 and x"?

2 answers:

7 0

That would be (171 + x) / 2....what u do to find the average is add up all the numbers, then divide by how many numbers there are.

Sauron [17]2 years ago

3 0

Answer: $\dfrac{\text{171+x}}{\text{2}}$

Step-by-step explanation:

We know that the average of any n observations is given by :-

$\text{Average}=\dfrac{\text{Sum of observations}}{\text{Number of observations}}$

The given observations : x and 171

Sum of observations : $x+171$

Number of observations : 2

Now, the average of 171 and x is given by :-

$\text{Average}=\dfrac{\text{171+x}}{\text{2}}$

Hence, the expression represents the average of 171 and x is $\dfrac{\text{171+x}}{\text{2}}$ .

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one tamk of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. To obtain a mixture of

Zarrin [17]

Answer:

20 gallons were used from the tank with the octane rating of 80.

Step-by-step explanation:

Given : One tank of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. To obtain a mixture of 60 gallons with an octane rating of 120.

To find : How many gallons should be used from the tank with the octane rating of 80?

Solution : Let x be the volume of gas whose octane rating is 140 and

y be the volume of gas whose octane rating is 80.

Then, we form the equation as:

(1) $x\times140 + y\times80 = 60\times120$

$140x+80y = 7200$

or $7x+4y = 360$ .........[3]

(2) $x + y = 60$

Now multiply equation (2) by 4

$4x + 4y = 240$ ...........[4]

Subtract (4) from (3)

$7x+4y-4x-4y=360-240$

$3x=120$

$x=\frac{120}{3}$

$x=40$

Put x in equation [4] we get,

$4(40) + 4y = 240$

$160 + 4y = 240$

$4y = 80$

$y=\frac{80}{4}$

$y=20$

Therefore, x=40 and y=20

So, 20 gallons were used from the tank with the octane rating of 80.

7 0

3 years ago

Which expressions show the expanded form for 50.029?

Anna [14]

They all show 50.029
The correct answers are:
A.) <span>5 × 10 + 0 × 1 + 0 × 1/10 + 2 ×1/100 + 9 × 1/1000
Sorry.
This is all I can find correct
Its a little hard when you post the tenths, hundredths, and thousandths as fractions, but A is all I can find.

</span>

8 0

3 years ago

What is the lcm of 1 and 5

Temka [501]

Answer:

Step-by-step explanation:

6 0

2 years ago

Is y=2x-1 proportional

GREYUIT [131]

Since y=2x+1 does not pass through the origin (i.e. there exists the constant term of 1 ), the variables y and x are not directly proportional - though, they do have a linear relationship.

7 0

1 year ago

A box contains 4 oranges, 9 apples, and 3 pears. Liliana selects a piece of fruit from the box at random. What is the probabilit

valina [46]

Hello!

You first find out how many objects there are in total

4 + 9 + 3 = 16

Then you find the probability of Liliana picking a orange

Since there are 4 oranges and 16 things to pick she has a 4/16 chance of getting an orange

Next you find the probability of Liliana picking a pear

There are 3 pears and 16 items to pick so she has a 3/16 chance

Then you add them together to find the chance of either happening

4/16 + 3/16 = 7/16

So she has a 7 out of 16 chance of getting an orange or a pear

The answer is 7/16

Hope this helps!

3 0

2 years ago