All categories

3 years ago

Bella rolls 2 number cubes 60 times. How many times can she expect the sum of the numbers to be greater than 10?

Mathematics

2 answers:

shtirl [24]3 years ago

8 0

Answer:

12 times

Step-by-step explanation:

becuase 60×2÷10=12

Alina [70]3 years ago

4 0

Answer:

of the 36 possible outcomes, only 3 sum to 11 or 12.

You might be interested in

May someone help me on this please

aksik [14]

The way we figure this out is that 1 foot is 0.3048 meters. So we multiply 10.7 * 0.3048 and we get 3.26136 meters, I hope this helps (:

4 0

4 years ago

Imagine that yourfriend missed the lesson on how to solve a system of equations using the substitution method. You want to help

Lana71 [14]

A system of equations is a collection of two or more equations with the same variables. When solving this system, u need to find the unknown variables. One way of solving a system of equations is by substitution.

example :

2x + 2y = 6 (equation 1)
3x + y = 4 (equation 2)

we need to pick a variable and isolate it. The easiest one to pick since it is already by itself is the y in the second equation.
3x + y = 4.....subtract 3x from both sides
y = -3x + 4

now we can sub -3x + 4 in for y in the 1st equation...u have to make sure u sub it back into the 1st equation and not the same equation u used to find it.

2x + 2y = 6.....sub in -3x + 4 in for y and solve for x
2x + 2(-3x + 4) = 6...distribute thru the parenthesis
2x - 6x + 8 = 6...subtract 12 from both sides
2x - 6x = 6 - 8...simplify
-4x = -2...divide both sides by -4
x = -2/-4
x = 1/2

now that we have a numerical number for x, u can sub this back into either of ur equations to find a numerical answer for y.

y = -3x + 4...when x = 1/2
y = -3(1/2) + 4
y = -3/2 + 4
y = -3/2 + 8/2
y = 5/2

so ur solution is : (1/2,5/2) <===

and u can check ur answers by subbing them into ur equations to see if they satisfy both equations...because for it to be a solution to this system, it has to satisfy both equations and not just one of them

5 0

3 years ago

What is the y-intercept of the line shown? (10 Points) A. 0 B. −1 C. 1 D. 0.5

Molodets [167]

y-intercept of the line shown in the graph is -1.

Option B is correct.

Step-by-step explanation:

We need to find y-intercept of the line shown in the graph.

For finding y-intercept we put x=0

So, from graph we will check for what value of y is x=0

x=0 when y=-1

So, y-intercept of the line shown in the graph is -1.

The point is highlighted in the graph attached.

Option B is correct.

Keywords: Finding y-intercept

Learn more about Finding y-intercept at:

#learnwithBrainly

5 0

4 years ago

Solve the simultaneous equations y = 9 - X y = 2x2 + 4x + 6

kenny6666 [7]

Answer:

$\mathrm{Therefore,\:the\:final\:solutions\:for\:}y=9-x,\:y=2x^2+4x+6\mathrm{\:are\:}$

$\begin{pmatrix}x=\frac{1}{2},\:&y=\frac{17}{2}\\ x=-3,\:&y=12\end{pmatrix}$

Step-by-step explanation:

Given the simultaneous equations

$y=9-x$

$y\:=\:2x^2\:+\:4x\:+\:6$

Subtract the equations

$y=9-x$

$-$

$\underline{y=2x^2+4x+6}$

$y-y=9-x-\left(2x^2+4x+6\right)$

$\mathrm{Refine}$

$x\left(2x+5\right)=3$

$\mathrm{Solve\:}\:x\left(2x+5\right)=3$

$2x^2+5x=3$ ∵ $\mathrm{Expand\:}x\left(2x+5\right):\quad 2x^2+5x$

$\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}$

$2x^2+5x-3=3-3$

$\mathrm{Solve\:with\:the\:quadratic\:formula}$

$\mathrm{Quadratic\:Equation\:Formula:}$

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=2,\:b=5,\:c=-3:\quad x_{1,\:2}=\frac{-5\pm \sqrt{5^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}v\\$

$x=\frac{-5+\sqrt{5^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}$

$=\frac{-5+\sqrt{5^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}$

$=\frac{-5+\sqrt{49}}{2\cdot \:2}$

$=\frac{-5+\sqrt{49}}{4}$

$=\frac{-5+7}{4}$

$=\frac{2}{4}$

$=\frac{1}{2}$

Similarly,

$x=\frac{-5-\sqrt{5^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}:\quad -3$

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=\frac{1}{2},\:x=-3$

$\mathrm{Plug\:the\:solutions\:}x=\frac{1}{2},\:x=-3\mathrm{\:into\:}y=9-x$

$\mathrm{For\:}y=9-x\mathrm{,\:subsitute\:}x\mathrm{\:with\:}\frac{1}{2}:\quad y=\frac{17}{2}$

$\mathrm{For\:}y=9-x\mathrm{,\:subsitute\:}x\mathrm{\:with\:}-3:\quad y=12$

$\mathrm{Therefore,\:the\:final\:solutions\:for\:}y=9-x,\:y=2x^2+4x+6\mathrm{\:are\:}$

$\begin{pmatrix}x=\frac{1}{2},\:&y=\frac{17}{2}\\ x=-3,\:&y=12\end{pmatrix}$

3 0

4 years ago

List the factor pair of numbers for 48 and 56

levacccp [35]

gcf(48,56) = 8
The factors of 48 are 48, 24, 16, 12, 8, 6, 4, 3, 2, 1
The factors of 56 are 56, 28, 14, 8, 7, 4, 2, 1
The matching factors for 48 and 56 are 1, 2, 4, and 8.

3 0

3 years ago

Bella rolls 2 number cubes 60 times. How many times can she expect the sum of the numbers to be greater than 10? ​

Bella rolls 2 number cubes 60 times. How many times can she expect the sum of the numbers to be greater than 10?