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3 years ago

What is the unit rate if there are 258 purple polka-dot pencils in 3 purple polka-dot purses?

1 answer:

4 0

Unit rate means one. So the best way to solve this is using a proportion over one. If there are 258 pencils in 3 purses 258/3 then how many are in one purses x/1. Cross multiply next. 258/3 * x/1. You get 3x and 258. To get the x alone, divide both sides by three. Your answer is 86 pencils in one purse.

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Brian invested $3,000 in an account that paid a simple interest rate of 1.7%. When he cashed in the investment, he received $306

lesya692 [45]

Answer:

$165

Step-by-step explanation:

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2 years ago

Please help me!!! Select all of the equations for which the solution is 20. A) n-4 B) 10n=20 C) n/5=4 D)7+n=13 Please wander imm

Cerrena [4.2K]

I'm guessing it is C because after you solve for n (you need to multiply the five over to isolate n), you get 20.

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2 years ago

What is the percentage that snow will fall tomorrow in washington.

Reika [66]

Answer:

You will have a 30-40% chance of rain, not snow. ( so 0% )

Step-by-step explanation:

I just looked at the weather report for Washington

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2 years ago

A student finished a 30 question test in 75 minutes. Which rate best represents the relationship between the number of minutes s

blagie [28]

Answer:

2.5 minutes per quesiton

Step-by-step explanation:

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75/30

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2 years ago

In circle o,find the value of x, rounded to the nearest tenth.

Gemiola [76]

Answer:

$\huge\boxed{x \approx 5.4}$

Step-by-step explanation:

We can break down this problem by first realizing different parts of the circle.

The line which is 8 units long is a chord of the circle.
The line that is 3.6 is almost the radius of the circle
The line that x sits on is the radius.

With this, we can find out if we find the radius of the circle, we have our answer.

We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.

What we need is a way to find the radius of the circle. This will get us x. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.

If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).

We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:

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

Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!

$3.6^2 + 4^2 = c^2$
$12.96+16=c^2$
$28.96=c^2$
$\sqrt{28.96} = c$
$5.4 \approx c$

Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.

The line X does just that. Therefore, the value of x is also 5.4.

Hope this helped!

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2 years ago