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mr Goodwill [35]

3 years ago

8

There are 20 pens in a package. Ten of the pens are black, 8 are blue, and the rest are red. Which ratio represents the number o

f red pens to black pens?
A.1/10
B.1/5
C.4/5
D.5/1

2 answers:

Vera_Pavlovna [14]3 years ago

6 0

The answer is B, 1/5

riadik2000 [5.3K]3 years ago

3 0

C.4/5...<span>Which ratio represents the number of red pens to black pens?</span>

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If the triangles are congruent, then X=?

steposvetlana [31]

Answer:

Hi there!

The correct answer to this question is: x=3

Step-by-step explanation:

because these two triangles are similar, that means the hypotenuse are similar. which means you can set the sides equal to each other like this:

13 = 4x + 1 minus one on both sides and you should get 4x = 12 and then divide 4 on both sides and you should finally get x = 3

7 0

3 years ago

Karen claps her hand and hears the echo from a distant wall 0.113 s later. How far away is the wall? The speed of sound in air i

insens350 [35]

Answer:

19.3795 m

Step-by-step explanation:

If sound travels at 343 m/s and it took Karen 0.113 s to hear the echo from the wall, the distance travelled by the sound is:

$D=343\frac{m}{s} *0.113\ s\\D= 38.759\ m$

Note that the distance calculated above is the distance travelled from Karen to the wall and then back from the wall to Karen. Therefore, the distance between Karen and the wall is:

$d=\frac{38.759}{2}\\d=19.3795\ m$

The wall is 19.3795 m away from Karen.

3 0

3 years ago

Find functions f and g such that h = g ∘ f. (note: the answer is not unique. enter your answers as a comma-separated list of fun

polet [3.4K]

It is given in the question that

$h(x) = (fog)(x) = x^2 -81$

And $x^2 -81$

can also be written as

$(x^2 -40) -41$

Therefore,

$(fog)(x) = (x^2 -40)-41$

$f(g(x)) = (x^2 -40)-41$

That gives,

$g(x) = x^2 -40, f(x) = x-41$

7 0

3 years ago

An investment made in the stock market decreased at a rate of 4.2% per year for 15 years. What is the current value of the $1,00

loris [4]

<span>For exponential decrease use the formula P(1 - r)^t
p: initial amount
r: rate of change or percent of decrease (be sure to put in decimal form or you wont get the right answer)
t: amount of time (in years)
1,000,000 (1-0.042)^15 =
$525,391.01
(also make sure to use pemdas or order of operations when solving) hope this helps :)</span>

8 0

3 years ago

Subtract (4x^2 + x + 8) - (2x^2 + 3x - 1)

Ludmilka [50]

Answer:

2x^2-2x+9

Step-by-step explanation:

5 0

3 years ago