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Triss [41]
3 years ago
10

How do you find the probability of the sum of 6 when rolling a die?

Mathematics
1 answer:
alexdok [17]3 years ago
6 0

there is a 1 to 5 probablilty that you will roll the sum of 6 with two dice.




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A baker has 7 3/4 bags of flour.Each bag of flour will make 60 cakes.How many cakes will the baker be able to make if she uses a
Burka [1]

The baker would be able to make 465 cakes. Or D.

Because, 7 x 60 = 420. 60 ÷ 4 = 15. 15 x 3 = 45. 420 + 45 = 465.

5 0
3 years ago
The Gordon family plans to buy a TV. One TV has a purchase price of $330 and an estimated yearly operating cost of $14. The othe
garri49 [273]

Answer:

Step-by-step explanation:

They should purchase the $369 one with the $9 plan.

330 + (14x8) =442

369+ (9x8) = 441

Hope this helps!

6 0
3 years ago
Read 2 more answers
Write this number in word form. 284,028
natali 33 [55]
Two hundred eighty-four thousand, twenty-eight.
7 0
3 years ago
Let’s pretend that we want to give our employees in total a28% raise in the next two years, but we want to spread out aconsisten
Roman55 [17]

Solution

- The solution steps are given below:

\begin{gathered} \text{ Let the original amount be X} \\  \\ \text{ If we want a 28\% raise over the next two years, then it means that the amount will be:} \\ X+\frac{28}{100}X=1.28X \\  \\ \text{ If we want to give them a consistent raise each year, we can compute the scenario as follows:} \\ \text{ Let the percentage be }y \\  \\ X+y\%\text{ of }X=\text{ Salary after first year} \\  \\ (X+y\%\text{ of }X)+y\%\text{ of }(X+y\%\text{ of }X)\text{ = Salary after second year.} \\  \\ \text{ But we already know that the salary after second year is }1.28X \\ \text{ Thus, we can say:} \\ (X+y\%\text{ of }X)+y\%\text{ of }(X+y\%\text{ of }X)=1.28X \\  \\ \text{ Simplifying, we have:} \\ X+\frac{yX}{100}+\frac{y}{100}(X+\frac{yX}{100})=1.28X \\  \\ \text{ Divide through by }X \\ 1+\frac{y}{100}+\frac{y}{100}(1+\frac{y}{100})=1.28 \\  \\ \text{ Subtract 1 from both sides and expand the brackets} \\ \frac{y}{100}+\frac{y}{100}+(\frac{y}{100})^2=1.28-1=0.28 \\  \\ \frac{2y}{100}+(\frac{y}{100})^2=0.28 \\  \\ \text{ Multiply both sides by }100^2 \\ 200y+y^2=2800 \\  \\ \text{ Rewrite, we have:} \\ y^2+200y-2800=0 \\  \\ Solving\text{ the equation using the Quadratic formula, we have that:} \\ y=\frac{-200\pm\sqrt{200^2-4(-2800)}(1)}{2(1)} \\  \\ y=-213.137\text{   or   }13.137 \\  \\ \text{ Since the change in salary is an increase, thus, the rate }y\text{ has to be positive.} \\ \text{ Thus, } \\ y=13.137\approx13.14\% \\  \\  \end{gathered}

Final Answer

y = 13.14%

The screenshots of the solution are:

5 0
1 year ago
The length of a rectangle is 3 centimeters less than five times its width. Its area is 14 square centimeters. Find the dimension
katrin [286]

Step-by-step explanation:

Let breadth =x

Length=5x-3

As we know that in a rectangle

\boxed{\sf Area=lb}

  • Substitute the values

{:}\hookrightarrow\sf x (5x-3)=14

{:}\hookrightarrow\sf 5x^2-3x=14

{:}\hookrightarrow\sf 5x^2-3x-14=0

{:}\hookrightarrow\sf 5x^2-10x+7x-14=0

{:}\hookrightarrow\sf 5x (x-2)+7 (x-2)=0

{:}\hookrightarrow\sf (x-2)(5x+7)=0

{:}\hookrightarrow\sf x-2=0\quad or\quad 5x+7=0

{:}\hookrightarrow\sf x=2\:or\:x=\dfrac {-7}{5}

  • Ignore negative value

{:}\hookrightarrow\sf Breadth =2cm

{:}\hookrightarrow\sf Length=5 (2)-3=10-3=7cm

3 0
3 years ago
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