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3 years ago

If 1/4 of x is 16, what is 3/4 of x? Justify your answer in MORE THAN ONE WAY!

Mathematics

1 answer:

spin [16.1K]3 years ago

6 0

if 1/4th of x is 16 then 3/4th is 48

1/4 = 16

16+16+16+16 (split in to 4)

16×4 = 64

16+ 16 + 16 = 48 (or 16×3)

3/4 of 64 is 48

idk if this helped any, hope it does

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A plane flew 525 miles in 1.75 hours. Find the average speed of the plane.

ale4655 [162]

We are trying to find the average speed of the plane, which is mph, or $\dfrac{\textrm{miles}}{\textrm{hour}}$ . Using proportions, we can find the average speed of the plane in mph:

$\dfrac{525 \,\, \textrm{miles}}{1.75 \,\,\textrm{hours}} = \dfrac{x \,\, \textrm{miles}}{1 \,\,\textrm{hour}}$

Use the information from the problem to create a proportion. Remember that we are looking for mph, so we will call that $x$ .

$\dfrac{525}{1.75} \,\textrm{miles} = x \,\textrm{miles}$

Multiply the entire equation by $1 \,\textrm{hour}$

$\dfrac{525}{1.75} = 300 = x$

Divide both sides of the equation by $1 \,\textrm{mile}$ to clear both sides of the mile unit

The average speed of the plane is 300 mph.

6 0

3 years ago

PLEASE HELP = simplify 3/4(-10+2/5)

solniwko [45]

There are many ways to do this depending on the property you have to use:

If you use the distributive property, you need to distribute 3/4 to -10 and 2/5. Distribute means you will multiply it so your resulting equation will be this:

$\frac{-30}{4} - \frac{6}{20}$

Before you can add, you need to first make them like terms because you cannot add unlike fractions. Get the LCD and form your new equation:

$\frac{-150+6}{20}$

Now you can just add them together to get:
$\frac{-144}{20}$

and then simplify your fraction:
$\frac{-36}{5}$ or - $\frac{36}{5}$

The whole fraction becomes negative because when you divide integers and of them is negative, the final answer will be negative.

3 0

3 years ago

We are throwing darts on a disk-shaped board of radius 5. We assume that the proposition of the dart is a uniformly chosen point

Vlad1618 [11]

Answer:

the probability that we hit the bullseye at least 100 times is 0.0113

Step-by-step explanation:

Given the data in the question;

Binomial distribution

We find the probability of hitting the dart on the disk

⇒ Area of small disk / Area of bigger disk

⇒ πR₁² / πR₂²

given that; disk-shaped board of radius R² = 5, disk-shaped bullseye with radius R₁ = 1

so we substitute

⇒ π(1)² / π(5)² = π/π25 = 1/25 = 0.04

Since we have to hit the disk 2000 times, we represent the number of times the smaller disk ( BULLSEYE ) will be hit by X.

X ~ Bin( 2000, 0.04 )

n = 2000

p = 0.04

np = 2000 × 0.04 = 80

Using central limit theorem;

X ~ N( np, np( 1 - p ) )

we substitute

X ~ N( 80, 80( 1 - 0.04 ) )

X ~ N( 80, 80( 0.96 ) )

X ~ N( 80, 76.8 )

So, the probability that we hit the bullseye at least 100 times, P( X ≥ 100 ) will be;

we covert to standard normal variable

⇒ P( X ≥ $\frac{100-80}{\sqrt{76.8} }$ )

⇒ P( X ≥ 2.28217 )

From standard normal distribution table

P( X ≥ 2.28217 ) = 0.0113

Therefore, the probability that we hit the bullseye at least 100 times is 0.0113

3 0

3 years ago

Which equation is correctly rewritten to solve for x?<br><br> x/r - s = t

wolverine [178]

Answer:

x = r(t + s) (second option)

Step-by-step explanation:

First add s to both sides and get x/r = t + s.

Then mutiply both sides by r to separate x and this is the final equation:

x = r(t + s)

5 0

2 years ago

If you change the slope in the equation y= 5x + 7 to y = 2x + 7 how will its graph change?

Anuta_ua [19.1K]

If we see an equation in the form y=mx+c (where m and c are just some numbers), but the important thing is that the left hand side is "y" and not "2y" or "3y", then the m is the slope.

So y=5x+7 has a slope of 5 (the number before the x)
And y=2x+7 has a slope of 2 (the number before the x)

So as you move from left to right, the one with greater slope will increase y value faster. Just like if you were climbing two mountains. If you went for 1 kilometre up a really steep mountain, you would be higher up than if you went for 1 kilometre up a less steep mountain.

Another way of saying this is that by changing an equation from slope 5 (steep) to slope=2 (less steep), then "It will increase at a slower rate than before"

Answer B

6 0

3 years ago