What is slope? Provide two examples of realistic situations where slope manifests itself. In each example make sure to state what units the slope is expressed in.

Answer:

P(basketball and baseball)= 3/28

It helps if you make a two way table, but I cant do that on here

Answer:

25%

Step-by-step explanation:

The chance of getting a heads each time is 1/2. Since they are both independent events, you can multiply them together to get a total probability of 1/4 or 25%. Hope this helps!

Answer:

18.1cm

Step-by-step explanation:

11cm - 4cm = 7cm

16² - 7²

256 - 49 = 207

√207 = 14.387

x = 14.4

√14.39²+11²=√207+121= √328= 18.1cm

AC=18.1cm

I hope this helps ^_^

Answer:

-⅖ + ⁹/¹⁵ = 3/15

Step-by-step explanation:

-⅖ + ⁹/¹⁵ = 3/15

The correct answer for the given equation is  [tex]\frac{3}{15}[/tex].

PEMDAS is the right standardized way of solving math problems if multiple operations are being used. The acronym stands for parentheses, then exponents, then multiplication and division, then addition and subtraction.

Given the equation, [tex]-\frac{2}{5} -(\frac{-9}{15} )[/tex] if we follow the PEMDAS then we have to remove the bracket first, and after that negative sign before 9/15 will get positive as follow:

⇒  [tex]-\frac{2}{5} +(\frac{9}{15} )[/tex]

⇒    [tex]-\frac{6}{15} +(\frac{9}{15} )[/tex]

      [tex]\frac{3}{15}[/tex] .

Hence, The equation which shows the value of the given Problem is D.

Learn more about PEMDAS here:

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Answer:

71.3 ft

Step-by-step explanation:

Oliver has a piece of string that is 214 ft long. He needs to cut this string into 3 pieces that are all the same length.

To find the length that each piece should be, we divide the length of the string by 3:

214 / 3 = 71.3 ft

Each piece should be 71.3 feet long.

Answer:

12.5 m

Step-by-step explanation:

recall that 1 km = 1000 m

hence 90 km/h is equivalent to 90 km/h x 1000 m/km = 90,000 m/hr

also recall that 1 hour = 60 x 60 = 3600 s

hence 90,000 m/hr is equivalent to 90,000 m/hr x (1/3600) hr/s = 25 m/s.

given that is eyes were closed for 0.5 s.

in 0.5s, he travelled :

0.5s x 25 m/s = 12.5 m

Answer:

The answer is A

Step-by-step explanation:

(x-6)2

=x2-12x+36

The required factor form of the polynomial equation x²-12x+36 is (x-6)².
Option A is correct.

The factored form of the polynomial x² − 12x + 36 equation is to determined.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.

Here, The given polynomial function f(x) =  x²− 12x + 36
Factorization of a given polynomial function,
f(x) = x²− 12x + 36
spitting 12x in 6x+ 6x
f(x) = x²− 6x-6x + 36
taking commons
f(x) = x(x− 6)-6(x - 6)
f(x) = (x− 6)(x - 6)
f(x) = (x− 6)² is the factorized form of  f(x) =  x²− 12x + 36.

Thus, The required factor form of the polynomial equation x²-12x+36 is (x-6)².

Learn more about polynomial function here:
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Answer:

16 km per hour

Step-by-step explanation:

24÷1.5 = 16

Answer:the mode is 2 1/2 because it repeats twice

Step-by-step explanation:repeats twice

Answer:

the answer is: "Subtract 4 from 15. Then multiply the difference by 3."

Step-by-step explanation:

If there are 4 fewer blue pens in a box than black pens, and there are 15 black pens in each box, then that means there are 11 blue pens in each box.

So then, how many blue pens are in 3 boxes? There are 33 blue pens in 3 boxes, you can find this out by multiplying, 11 by 3.

the numerical answer is:

11 x 3 = 33

or, 3 x ( 15 - 4)

I hoped this helped!

Answer: No it is not possible

3/4 has a denominator of 4, which is not a factor of 15. This means that there is a contradiction somewhere. Note how (3/4)*15 = 11.25 is not a whole number. So if Ashley did have 15 stuffed animals, then 3/4 of that wouldn't be a whole number and it would contradict what Ashley is stating. The same can be said in reverse: if Ashley's statement is correct, then there's no way Pam is correct as well.

Answer:

A

Step-by-step explanation:

Answer:

The first solution must have 0.6 l and the second one 0.4 l.

Step-by-step explanation:

The volume of the first solution will be called "x", while the one from the second will be "y". The salt content on the first solution is "0.0006*x", while the salt content on the second solution is "0.0021*y", and the sum of these two values must be the same as the one in the final solution, so we have:

0.0006*x + 0.0021*y = 0.0012

And the sum of volumes must be equal to 1 liter.

x + y = 1

We have the equation system:

x + y = 1  (1)

0.0006*x + 0.0021*y = 0.0012   (2)

Isolating the "x" variable in the first equation and applying it in the second we have:

x = 1 - y

0.0006*(1-y) + 0.0021*y = 0.0012

0.0006 - 0.0006*y + 0.0021*y = 0.0012

0.0015*y = 0.0006

y = 0.0006/0.0015 = 0.4

x = 1 - 0.4 = 0.6

The first solution must have 0.6 l and the second one 0.4 l.

Answer:

1/12.

Step-by-step explanation:

6 sides and 2 sides. 2 possible outcomes for each side of the dice

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

The combinations:

heads and 1, heads and 2, heads and 3, heads and 4, heads and 5, heads and 6, tails and 1, tails and 2, tails and 3, tails and 4, tails and 5, tails and 6

Answer:

83/100

Step-by-step explanation:

Decimals to fractions

Answer:

1. a   2. b   3. c  4. d

Step-by-step explanation:

you have to simplify but 2/2 to make the denominator 13 on number 3 and 4

I believe the the answer is zero.

Answer:

The next step is to draw a line connecting the two labelled points, that is from one side of the line to be bisected to the other

The line drawn in the above step, from the two labelled points is the perpendicular bisector of the segment

Step-by-step explanation:

To draw a perpendicular bisector of a segment, we have;

1. Ensure the compass is opened to more than half of the length of the segment to be bisected

2. Draw arcs of the same radius with center at the ends of the line to be bisected

3. Label the points where the arcs drawn from both ends cross each other on opposite sides of the line

4. Draw a line connecting the two labelled points, that is from one side of the line to be bisected to the other

5. The line so drawn from the two labelled points is the perpendicular bisector of the segment.

Find the unit rate: 24 water bottles ÷ 6 dollars total = $0.25 a water bottle

Next, take the rate per water bottle and multiply it by ten: $0.25 a water bottle x 10 bottles of water = $2.50 total

So, this gives you your final answer. Ten bottles of water cost you $2.50!

Answer:

Step-by-step explanation:

7

Answer:

≈ 7

Step-by-step explanation:

the formula of the volume of a cylinder is:

V = π r^2 * h

792 = 3.14 * 6^2 *h

so first divide by 6^2 (or 36) on both sides so you can start to isolate h

36/36 = 1   and  792/36 = 22

22 = 3.14 *h

now divide by 3.14 to get h by itself

3.14/3.14 = 1   and   22/3.14  ≈ 7

the answer is approximately 7 and precisely 7.002817496

hope this helps!! <3

Answer: 3/8

Step-by-step explanation:

1/8 of the charge of a battery is consumed in 16 days. How will be consumed in 48 days?

So, to answer this question we simple have to apply a proportion:

(1/8 )/16 = charge consumed /days

For 48 days= x /48 days

(1/8 )/16 = x/48

Solving for x (charge)

[(1/8 )/16] 48 = x

3/8 =x

Feel free to ask for more if needed or if you did not understand something.

Formula: C = ((pi x diameter) / 4) + r + r

C = ((pi x 6) / 4) + 3 + 3

C = (6pi / 4) + 6

C = 1.5pi + 6

C = 10.71 millimeters

Hope this helps! :)

Answer:

10.71mm

Step-by-step explanation:

First find the circumference of the circle

C=2πr

then divide by 4

then add the radius 2 times to get the quarter circle perimeter

Answer: 230 Marbles

Step-by-step explanation:

Let Xavier marbles be x

Let Thomas marbles be y

Let Mei marbles be z

Xavier, Thomas, and Mei had 650 marbles.

x + y + z = 650

Thomas had 3 times as many marbles as Mei.

y = 3 × z

y = 3z

Mei had 50 fewer marbles than Xavier.

x = z - 50

We can plug all the equation gotten back into the first equation

x + y + z = 650

Since y = 3z and x = z - 50

x + y + z = 650

(z - 50) + 3z + z = 650

z - 50 + 3z + z = 650

5z - 50 = 650

5z = 650 + 50

5z = 700

z = 700/5

z = 140

Mei has 140 marbles

Since x = z - 50

x = 140 - 50

x = 90

Xavier has 90 marbles

y = 3z

y = 3 × 140

y = 420

Thomas has 420 marbles

Xavier and Mei marbles = 90 + 140

= 230 marbles

Answer:

no ive never seen is it a cartoon

Step-by-step explanation:

Answer:

Yes I have seen it i reccomend it to

Answer:

x =  ± sqrt(-49)

or x =  ± 7i

Step-by-step explanation:

x^2 +49 = 0

Subtract 49 from each side

x^2 +49 -49 = 0-49

x^2 = -49

Take the square root of each side

sqrt(x^2) = ± sqrt(-49)

x =  ± sqrt(-49)

We have to complex numbers to solve

x = ± sqrt(-1) sqrt(49)

sqrt(-1) = i

x =  ±i *7

x =  ± 7i

Answer:

1

Step-by-step explanation:

The exact value of tan(π4) tan ( π 4 ) is 1 .

Answer:

648 cm³

Step-by-step explanation:

side area=(13+11)/2 ×9=12×9=108 cm²

volume=108×6=648 cm³

Answer:

The value of x is -3 and 2.

Step-by-step explanation:

First, you have to elaborate the equation :

[tex] {x}^{2} + x - 6 = 0[/tex]

[tex] {x}^{2} - 2x + 3x - 6 = 0[/tex]

Next, you can factorize it by taking out the like-terms :

[tex]x(x - 2) + 3(x - 2) = 0[/tex]

[tex](x + 3)(x - 2) = 0[/tex]

Lastly you have to solve it :

[tex]x + 3 = 0[/tex]

[tex]x = - 3[/tex]

[tex]x - 2 = 0[/tex]

[tex]x = 2[/tex]

Answer:

[tex]x = 2[/tex] or (look down)

Step-by-step explanation:

[tex]x^{2}[/tex]+[tex]x[/tex]−[tex]60[/tex] [tex]=[/tex] [tex]0[/tex]

Answer:

[tex]x = -3[/tex]