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3 years ago

15

A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342 which statement can be

used to write an expression and then find the number of peanuts that ended up in each bag

2 answers:

Bingel [31]3 years ago

8 0

ANSWER:

342/6 = 57

just basic division

Mars2501 [29]3 years ago

7 0

Answer:

342/6 = 57

Step-by-step explanation:

Just basic division

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Solve this system of equations. Write the answer as an ordered pair.

baherus [9]

-2x + 6y = 6

6y - 6 = 2x

6(y-1) = 2x

(1/2) * 6(y-1) = 2x * (1/2)

x = 3(y-1)

------------

If, x = 3(y-1),

-7 * 3(y-1) + 8y = -5

-21 * (y-1) + 8y = -5

-21y + 21 + 8y = -5

21 + 5 = 21y - 8y

26 = 13y

y = 26/13

Therefore: y=2.

----------

If y=2,

x = 3(2-1) = 3

-----------

Answers:

x=3 and y=2.

7 0

3 years ago

Which of the following is the Pythagorean theorem

noname [10]

Answer:

$a^2+b^2=c^2$

Step-by-step explanation:

The Pythagorean Theorem is used to find a missing side length in a right triangle, and the formula $a^2+b^2=c^2$ is used to find the missing side, assuming a and b are legs, while c is the hypotenuse.

4 0

3 years ago

Find the uncertainty in a calculated average speed from the measurements of distance and time. Average speed depends on distance

zzz [600]

Answer:

$\frac{\Delta v}{v}=0.426$

Step-by-step explanation:

you have that the average sped is given by the following formula:

$v(x,t)=\frac{x}{t}$

The uncertainty formula for a division is given by:

$\frac{\Delta v}{v}=\sqrt{(\frac{\Delta x}{x})^2+(\frac{\Delta t}{t})^2}$ (1)

Δv: uncertainty in speed

Δx: uncertainty in the distance = 0.9m

Δt: uncertainty in time = 0.7s

x: distance = 8.1m

t: time = 1.7s

You replace the values of all parameters in the equation (1):

$\frac{\Delta v}{v}=\sqrt{(\frac{0.9}{8.1})^2+(\frac{0.7}{1.7})^2}\\\\\frac{\Delta v}{v}=0.426$

Hence, the relation between the uncertainty in the average velocity is 0.426

4 0

3 years ago

The price of a flight was increased by 3% to £650. What was the price before the increase?

liubo4ka [24]

Answer:

£ 631

Step-by-step explanation:

Hi this is a simple mathematics issue.

First, let's imagine what is 3%. '3 percents' means 3/100. If your family have 100 apples and you have 3 apples, that means you have 3% of your family apples.

Now, get back to this problem. We need to find the price before increase. Let's say the price was £ X. Now we will find the X number.

It's said that the price was increased by 3%. That means they took 3% of X and added that amount to X to have the new price : £ 650. That means we have this equation :

650 = X + 3%×X

Let's make it easier to look :

650 = X + 3/100 ×X

650 = X×( 1+ 3/100)

= X × 103/100

So we can see 650 is equaled to X multipled by 103/100.

To find the correct answer, simply divide 650 by 103/100.

*A hint: When you divide a number by a fraction, you can simply put the number multiplied by the "flipped" fraction .

Hope you learn with Joy and High Grades !!!

8 0

3 years ago

Alan just got a Fall job. The equation P = 12.50h represents the salary P (in dollars) he will earn when he works h hours. How m

balandron [24]

Given:

Alan salary P (in dollars) when he works h hours is represented by the equation

$P=12.50h$

To find:

The earning per hour.

Solution:

We have,

$P=12.50h$

Here, P is total salary and h is number of hours he works.

$\text{Earning per hour}= \dfrac{\text{Total salary}}{\text{Number of hours}}$

$\text{Earning per hour}= \dfrac{12.50h}{h}$

$\text{Earning per hour}=12.50$

Therefore, the earning per hour is $12.50.

8 0

3 years ago