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Shtirlitz [24]
4 years ago
5

A ream of a certain brand of paper weighs about 3.225 pounds. A ream contains 500 sheets of paper. How much does a sheet of pape

r​ weigh?
Mathematics
1 answer:
goldfiish [28.3K]4 years ago
5 0

Answer:

A single sheet of paper should weigh: <u>0.00645 pound</u> or  6.45*10^{-3} (in scientific notation)

Step-by-step explanation:

Divide 3.225 (the weight of the ream of paper) by 500 (the amount of paper in a ream).

If you need the scientific notation form, simply move the decimal point/place right or left until you end up with a whole number that is between 1 and 10 (in this case, <u>3 times to the right</u>), then determine what power of 10 it should be, depending on the number of times you moved the decimal place (in this case, the power is <u>-3</u>).

The power/exponent is determined by the direction you have to move your decimal point, right=negative and left=positive. For example, if you started off with the number 6450, you would move the decimal point 3 times to the left and your power would be positive 3, which results in 6.45*10^{3}.

Hope this helps!

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Bruce is solving a system of equations.
Valentin [98]

Answer:

Option 3,4,5 are correct.

Step-by-step explanation:

The system of equations are:

3x+5y=9\,\,\,\,(1)\\x-y=-5\,\,\,\,(2)

Multiply equation (2) with -3 and add with equation (1)

3x+5y=9\\-3x+3y=15\\-------\\8y=24\\y= 24/8\\y=3

Value of y is 3

Putting value of y in eq(2)

x-y=-5\\x-3=-5\\x=-5+3\\x=-2

Value of x is -2

So, Option 3,4,5 are correct.

Keywords: System of Equations

Learn more about System of Equations at:

  • brainly.com/question/13168205
  • brainly.com/question/2115716
  • brainly.com/question/3739260

#learnwithBrainly

7 0
3 years ago
Paula finished the race at 2:14 p.m Beatrice finished the race 22 minutes earlier what time did Beatrice finish the race a 1:54
Digiron [165]

Answer: 1:52 PM

Step-by-step explanation:

PAULA: 2:14PM FINISHED THE RACE

BEATRICE: FINISHED 22 MINUTES EARLIER THEN PAULA

YOU TAKE 2:14PM AND SUBTRACT THE 22 MINS BEATRICE RAN TO GET YOU ANSWER.

SO 2:14 -14 MINS=2:00PM 14+8=22 (THE MINS BETRICE FINISHED)

2:00-8 MINS ( REMAINING FROM THE 22 ) THEN 2:00-8 MINS =1:52

ANSWER:1:52PM

5 0
2 years ago
A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the pole with a speed of 5 ft/s alo
harina [27]

Answer:

25/3 ft/s

Step-by-step explanation:

Height of pole , h=15 ft

Height of man, h'=6 ft

Let BD=x

BE=y

DE=BE-BD=y-x

All right triangles are similar

When two triangles are similar then the ratio of their corresponding sides are equal.

Therefore,

\frac{AB}{CD}=\frac{BE}{DE}

\frac{15}{6}=\frac{y}{y-x}

\frac{5}{2}=\frac{y}{y-x}

5y-5x=2y

5y-2y=5x

3y=5x

y=\frac{5}{3}x

Differentiate w.r.t t

\frac{dy}{dt}=\frac{5}{3}\frac{dx}{dt}

We have dx/dt=5ft/s

Using the value

\frac{dy}{dt}=\frac{5}{3}(5)=\frac{25}{3}ft/s

Hence, the tip of  his shadow moving  with a speed 25/3 ft/s when he is 45 feet from the pole.

8 0
3 years ago
Read 2 more answers
Which equations and/or functions represent the graphed line? Select three options.
Reil [10]

Answer:

y=\frac{1}{2}x+2

Step-by-step explanation:

Let's take points (2,3) and (-4,0)

Slope

m=\frac{y_2-y_1}{x_2-x_1}\\\Rightarrow m=\frac{0-3}{-4-2}\\\Rightarrow m=\frac{3}{6}\\\Rightarrow m=\frac{1}{2}

So,

y=mx+c\\\Rightarrow y=\frac{1}{2}x+c

To find c we put value of (2,3) in the equation

3=\frac{1}{2}2+c\\\Rightarrow 3-1=c\\\Rightarrow 2=c

Equation of line

y=\frac{1}{2}x+2

6 0
3 years ago
Read 2 more answers
A metallurgist has an alloy with 5​% titanium and an alloy with 25​% titanium. He needs 100 grams of an alloy with 13​% titanium
Nimfa-mama [501]
So... the alloy with 5% titanium is ...some  alloy :), so is a mixed metal and among its mix it has 5% of titanium, it has other metals, but only 5% is titanium.

that means that if the amount of it is say "x", then the amount of titanium in it will be 5% or (5/100) * x, or 0.05x.

now, the 25% titanium, is the same issue, if say a quantity of "y" will only have 25% of titanium, regardless of other metals, so in "y" there is 25% or (25/100) * y, or 0.25y.

so, we need a mixture that yields only a 13% alloy, or 13/100, and will be 100 grams, so the amount of titanium in it will then be (13/100) * 100 or 13.

\bf \begin{array}{lccclll}&#10;&\stackrel{grams}{amount}&\stackrel{\%}{quantity}&\stackrel{concentrated}{quantity}\\&#10;\textit{5\% alloy}&x&0.05&0.05x\\&#10;\textit{25\% alloy}&y&0.25&0.25y\\&#10;------&------&------&------\\&#10;mixture&100&0.13&13&#10;\end{array}&#10;\\\\\\&#10;\begin{cases}&#10;x+y=100\implies \boxed{y}=100-x\\&#10;0.05x+0.25y=13\\&#10;----------\\&#10;0.05x+0.25\left( \boxed{100-x} \right)=13&#10;\end{cases}&#10;\\\\\\&#10;0.05x-0.25x+25=13\implies -0.20x=-12\implies x=\cfrac{-12}{=0.20}&#10;\\\\\\&#10;x=\stackrel{grams}{60}

how much of the 25% alloy will be needed?  well, y = 100 - x.
4 0
3 years ago
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