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yKpoI14uk [10]
2 years ago
6

If a = -35, b = 10 cm and c = -5, verify that:

Mathematics
1 answer:
Murljashka [212]2 years ago
7 0

Step-by-step explanation:

(i). a+(b+c) = (a+b)+c

-35+(10-5) = (-35+10)+(-5)

-35+5 = -25-5

-30 = -30

(ii). a×(b+c) = a×b + a×c

-35 × [10+(-5)] = -35×10 + -35×-5

-35 × (10-5) = -350 + 175

-35 × 5 = -350 + 175

-175 = -175

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in a game involving a pair of fair dice a player rolls the dice until he gets a sum of 7 let z equal the number of rolls it take
Anarel [89]

Answer:

z = 36 rolls , probability for getting 7 = 1/6

Step-by-step explanation:

A die has 6 possible outcomes, which sums to 36 for two dice for every value on both dice.

The outcomes for rolling both dice for 36 times gives 6 possible outcomes summing to 7, that is, (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).

There the probability of getting a sum dice of 7 is:

= 6 / 36 = 1/6

8 0
3 years ago
For each order pair (x,y) , determine whether it is a solution to the inequality 4x-6y_< - 18
anyanavicka [17]

Solution:

Given:

4x-6y\leq-18

To determine if an ordered pair is a solution, we substitute the x and y-values into the inequality and check if it is true.

Thus,

\begin{gathered} For\text{ the point }(-9,-2) \\ x=-9,y=-2 \\ 4x-6y\leq-18 \\ 4(-9)-6(-2)=-36+12=-24 \\ Since\text{ }-24

\begin{gathered} For\text{ the point }(0,3) \\ x=0,y=3 \\ 4x-6y\leq-18 \\ 4(0)-6(3)=0-18=-18 \\ Since\text{ }-18=-18,\text{ then }(0,3)\text{ is a solution} \end{gathered}

\begin{gathered} For\text{ the point }(5,-3) \\ x=5,y=-3 \\ 4x-6y\leq-18 \\ 4(5)-6(-3)=20+18=38 \\ Since\text{ }38>-18,\text{ then }(5,-3)\text{ is not a solution} \end{gathered}

\begin{gathered} For\text{ the point }(8,5) \\ x=8,y=5 \\ 4x-6y\leq-18 \\ 4(8)-6(5)=32-30=2 \\ Since\text{ }2>-18,\text{ then }(8,5)\text{ is not a solution} \end{gathered}

Therefore, the correct answers are selected as shown below;

7 0
1 year ago
Which of the following expressions are equivalent to -5+7-(-3).
SpyIntel [72]

Answer:

c

Step-by-step explanation:

mark brainliest its just in different form

7 0
3 years ago
Read 2 more answers
Augustin has 20 different chess boards. If he played 3 games per day, each game played on a different board, how long would it t
Nutka1998 [239]

Answer:

514 days

Step-by-step explanation:

We use the formula (r+n-1)/r(n-1)

There are 1540 combinations. Then, we'll divide them by three because were not just finding the amount of combinations, but the time it'd take to play them all.

We get 513.333(cont.)

thats not really possible, so we're gonna go with 514 instead, rounding up. Normally we'd round down, because the number behind the decimal is below 5, but we really want to make sure we get every combination in there.

Hope this is helpful!

8 0
3 years ago
What is the output of the function when the input is 0
bearhunter [10]

Answer:

y = -1

Step-by-step explanation:

Any ordinate pair (x, y) represents the input output values of a function to be graphed.

For any input value of x, there will be an output value (y).

If input value for the graph attached is x = 0,

Output value will be represented by the y-value along y-axis as, y = -1

Therefore, y = -1 will be the answer.

4 0
3 years ago
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