If a bicyclist rides for 100 minutes at an average speed of 14 miles per hour, how far was the ride, to 1 decimal place?

Answer:

40

Step-by-step explanation:

200% x 20

200/100 x 20

(200 ÷ 100) x 20

200 x 20 ÷ 100

4,000 ÷ 100 = 40

Answer:

1/36

Step-by-step explanation:

The only way of getting a total of 11 is rolling a 5 and a 6.

On each dice that is a 1/6 possibility

Multiply both possibilities to get 1/36.

Answer:

1/4a -1/6b + 1/10c

Step-by-step explanation:

1/2 a  -1/3 b + 1/5c   + -1/4a + 1/6 b - 1/10c

Combine like terms

1/2a - 1/4a   -1/3b + 1/6b    +1/5c - 1/10 c

2/4a -1/4a    -2/6b + 1/6b   +2/10c -1/10c

1/4a -1/6b + 1/10c

Answer:

50 bags

Step-by-step explanation:

1 kg = 1000 grams

10 kg * 1000g/ 1kg = 10000 g

Divide 10000 grams by 200 g

10000g / 200g = 50

Answer:

1234567891011121314151617181920

Answer:

-1,2 can be plotted together with these four points ...

Answer:

The cost written as a fraction is​ --> 4 13/99

Step-by-step explanation:

Let x = 4.131313

100x = 413.1313

So, 100x - x = 99x

      100(4.131313) - 4.131313 = 408.99, or 409 when rounded

x = 409/99

x = 4 13/99

Answer:

The answer is 21.43731

Answer:

[tex]y = 2x^2 + 1[/tex]

Step-by-step explanation:

The graph you see there is called a parabola. The general equation for the graph is as below

[tex]y = a*x^2 + b[/tex]

To find the equation we need to find the constants a and b. The constant b is just how much we're lifting the parabola by. Notice it's lifted by 1 on the y axis.

To find a it's a little more tricky. Let's use the graph to find a value for a by plugging in values we know. We know that b is 1 from the previous step, and we know that when x=1, y=3. Let's use that!

[tex]3 = a * (1)^2 + 1\\2 = a[/tex]

Awesome, we've found both values. And we can write the result.

[tex]y = 2x^2 + 1[/tex]

I'll include a plotted graph with our equation just so you can verify it is indeed the same.

[tex] \sqrt{ {1}^{2} + {4}^{2} } \: = \sqrt{17} [/tex]

Answer:

4 packages of hot dogs and 5 packages of hot dog buns.

Step-by-step explanation:

Find the least common multiple of 10 and 8, which is 40.

Answer:

(-1,-6)

Step-by-step explanation:

(13 + x)/2 = 6

13+x= 12

x = -1

~~~~~~~~~~~~~~~

(-2 + y ) / 2 = -4

-2 + y = -8

y = -6

The coordinates of the other endpoint will be (-1,-6). The correct option is C.

Divide the measurement of the distance between the two end locations by 2. The middle of that line is located at this separation from either end.

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that the midpoint of a segment is (6,−4) and one endpoint is (13,−2).

The x- coordinate will be calculated as:-

(13 + x)/2 = 6

13+x= 12

x = -1

The y-coordinate will be calculated as:-

(-2 + y ) / 2 = -4

-2 + y = -8

y = -6

Therefore, the coordinates of the other endpoint will be (-1,-6). The correct option is C.

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Answer:

The third graph is precise

Step-by-step explanation:

-2 > n ≥ 4

n<-2 or n≥4 compound inequality is represented in the third graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given inequality is n<-2 or n≥4

The third number line represents the inequality  n<-2 or n≥4.

The open circle at -2 indicates that n is not included in the solution set, since the inequality is strict.

The closed circle at 4 indicates that n is included in the solution set, since the inequality is not strict.

Hence, n<-2 or n≥4 compound inequality is represented in the third graph.

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Answer:

90°,60°&30°

Step-by-step explanation:

A 30-60-90 triangle is a right triangle with angle measures of 30º, 60º, and 90º (the right angle). Because the angles are always in that ratio, the sides are also always in the same ratio to each other.

Answer:

Step-by-step explanation:

In one hour pump1 can fill 1/8 of the tank and pump2 can fill 1/10 of the tank.

Two pumps can fill:

Time required to fill the tank:

Answer:

y = 10 , x= -3

Note: I have never hears this called "combination method"

if you research this on-line it is typically called the "elimination" or the  "addition" method.

Step-by-step explanation:

5x + y = 5

10x + 3y = 20

~~~~~~~~~~~~~~~~~~~~~

multiply top equation by -2

-10x + -2y = -10

10x + 3y = 20

y = 10

x= -3

Answer:

C = [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]

Step-by-step explanation:

A = B+ C then

C = A - B

C = [tex]\left[\begin{array}{ccc}2&-5\\-1&4\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}4&-1\\0&3\\\end{array}\right][/tex] (subtract corresponding elements )

   = [tex]\left[\begin{array}{ccc}2-4&-5-(-1)\\-1-0&4-3\\\end{array}\right][/tex]

   = [tex]\left[\begin{array}{ccc}-2&-4\\-1&1\\\end{array}\right][/tex]

9514 1404 393

Answer:

  a < -5  or  11 < a

Step-by-step explanation:

For there to be two points of intersection, there must be 2 real solutions to ...

  ax +9 = -2x^2 +3x +1

Rewriting to standard form, we have ...

  2x^2 +(a -3)x +8 = 0

The discriminant of this equation is ...

  B^2 -4AC = (a -3)^2 -4(2)(8) = a^2 -6a -55

We want this to be greater than 0. Factoring, we get ...

  (a -11)(a +5) > 0

This will be true for values of a that are less than -5 or greater than 11.

__

The attached graph shows lines and their points of intersection for a=-6 and a=12. It is not hard to see that for slopes less steep than these values, the lines with a y-intercept of 9 may not intersect the parabola.

Answer:

36°, 36°, 108°

Step-by-step explanation:

let the 2 congruent base angles of the isosceles triangle be x

Then the vertex angle is 3x

Sum the angles and equate to 180 ( angle sum of triangle )

x + x + 3x = 180

5x = 180 ( divide both sides by 5 )

x = 36 , then

3x = 3 × 36 = 108

The angles are 36°, 36° and 108°

a^4+b^4=(a^2)^2+(b^2)^2

=(a^2+b^2)^2–2a^2b^2

=(a^2+b^2)^2—(√ 2ab)^2

=(a^2+√ 2ab+b^2)(a^2-√ 2ab+b^2)

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Answer:

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Step-by-step explanation:

Answer:

-3,-14

Step-by-step explanation:

21  

18  (-3)

13   (-5)

6    (-7)

-9 .... 6-9 = -3

-11 ... -3 - 11 = -14

Answer: -3, -14

Step-by-step explanation:

You can see that from 21 to 18 the difference is -3

18 to 13 is -5

13-6 is -7

See the pattern yet?   The difference of the numbers are subtracted by 2 again.

-3, -5, -7, then it's -9. then -11

So 6+(-9) = -3

-3+(-11) = -14

Answer:

4.2724289e

+22

Step-by-step explanation:

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Answer:

this is a combination problem... permutations would basically let you know

if you had to arrange all 50 applicants on tables for dinner , how many ways can they be seated...

in your case you have 50 items and you are CHOOSING 2 ...

you need the 50c2

Step-by-step explanation:

Answer:

139/4

Step-by-step explanation:

and find that\[

\frac{4}{7}\cdot \frac{13}{13} = \frac{4\cdot 13}{91}=\frac{52}{91}, \text{and}

\]\[

\frac{8}{13}\cdot \frac{7}{7} = \frac{8\cdot 7}{91} = \frac{56}{91}.

\]Thus $\frac{8}{13}$ is larger than $\frac{4}{7}$, which tells us that $-\frac{8}{13}$ is smaller than $-\frac{4}{7}$. Thus, $x=-22$, $y=-\frac{8}{13}$, and\begin{align*}

\frac{x-y}{y}&=\frac{-22-\left(-\frac{8}{13}\right)}{-\frac{8}{13}}\\

&=\left(-22\cdot \frac{13}{13}+\left(\frac{8}{13}\right)\right)\cdot \left(-\frac{13}{8}\right)\\

&=\left(\frac{-286+8}{13}\right)\cdot \left(-\frac{13}{8}\right)\\

&=\left(-\frac{278}{13}\right)\cdot \left(-\frac{13}{8}\right)\\

&=\boxed{\frac{139}{4}}.

\end{align*}

Answer:

y = -28x²

Step-by-step explanation:

[tex]{ \bf{ {y} = 4a {x}^{2} }} \\ { \tt{y = - 28 {x}^{2} }}[/tex]

Answer:

apoco la propiedad asociativa en los siguiente ejercicio 25x11x18=

Answer:

1/2

Step-by-step explanation:

You put 5 as a numerator and then 10 as a denominator which is 5/10. But you can simplify it, so you change it to 1/2. Hope this helps!

Answer:

1/2

Step-by-step explanation: