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Anika [276]
3 years ago
7

LaTonda rolls two number cubes that are each numbered 1 through 6. What is the probability that the sum of the numbers on the to

p of both cubes will be a multiple of 4?
Select one:

1/4


1/12


1/6


1/2
Mathematics
1 answer:
ZanzabumX [31]3 years ago
8 0

Answer:

1/4

Step-by-step explanation:

The maximum sum of the two cubes is 6 + 6 = 12

The multiples of 4 until 12 are: 4, 8 and 12.

each cube has 6 possible values, so two cubes have a total of 6 * 6 = 36 possible results

We can have a sum of 4 with the pairs (1,3), (2,2), (3,1).

We can have a sum of 8 with the pairs (2,6), (3,5), (4,4), (5,3), (6,2)

We can have a sum of 12 with the pair (6,6)

So we have a total of 9 pairs that satisfy our condition over a total of 36 possibilities, so the probability is 9 / 36 = 1/4

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Does (–3, 17) make the equation y = 6x + –1 true?
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6 0
2 years ago
Sandy's orchard has only 4 apple trees for every 3 pear trees. She is wanting to plant enough avocado trees so that she has 2 av
LUCKY_DIMON [66]
<span>current ratio: 4 apple trees for every 3 pear trees. wants: 2 avocado trees for every 5 pear trees in the orchard. Sandy is planting 18 avocado trees so 2 avocado trees for every 5 pear trees =1 avocado trees for every 2.5 pear trees therefore if we have 18 avocado trees 18 x 2.5 = 45 pear trees 4 apple trees for every 3 pear trees 4/3 = 1.333 apple trees for every 1 pear tree therefore if we have 45 avocado trees 45 x 1.333 = 60 apple trees therefore ratio of avocado to apple trees = 18 : 60 18 : 60 = 9 : 30 = 3 : 10</span>
4 0
2 years ago
Whats992,449 rounded to the nearest hundred thousand
Andreas93 [3]
Yep, the answer is 1,000,000. To explain the process of how the answer is figured out, the 9 next to the 9 in the hundred thousand's place tells us that we need to round up. So, we'd be rounding up to 1,000,000. Hope this helped you understand it :)
3 0
3 years ago
Read 2 more answers
A metalworker has a metal alloy that is 15​% copper and another alloy that is 75​% copper. How many kilograms of each alloy shou
lisov135 [29]

48 kilograms of 15 % copper is combined with 72 kilograms of 75 % copper to create 120 kg of a 51​% copper​ alloy

<em><u>Solution:</u></em>

Let "x" be the kilograms of 15 % copper

Then, (120 - x) be the kilograms of 75 % copper

Then, according to question,

"x" kilograms of 15 % copper is combined with (120 - x) kilograms of 75 % copper to create 120 kg of a 51​% copper​ alloy

Thus we frame a equation as:

15 % of x + 75 % of (120 - x) = 51 % of 120

<em><u>Solve the equation for "x"</u></em>

15 \% \times x + 75 \% \times (120-x) = 51 \% \times 120\\\\\frac{15}{100} \times x + \frac{75}{100} \times (120-x) = \frac{51}{100} \times 120\\\\0.15x + 0.75(120-x) = 0.51 \times 120\\\\0.15x + 90 - 0.75x = 61.2\\\\0.6x = 90 - 61.2\\\\0.6x = 28.8\\\\Divide\ both\ sides\ by\ 0.6\\\\x = 48

Thus 48 kilograms of 15 % copper used

Then, (120 - x) = (120 - 48) = 72

Thus, 72 kilograms of 75 % copper is used

4 0
2 years ago
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