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Usimov [2.4K]
3 years ago
10

3t – 6t + 8 – 7t = – 2

Mathematics
1 answer:
ad-work [718]3 years ago
8 0
<span>3t – 6t + 8 – 7t = – 2

Simplify and combine Like-Terms
</span><span><span><span>3t + −6t + 8 </span>+ </span>− 7t </span>= <span>−<span>2
</span></span><span><span>(<span><span>3t+<span>−6t</span></span>+<span>−7t</span></span>) </span>+ (8) </span>= <span>−<span>2
</span></span><span><span>−10t </span>+ 8 </span>= <span>−<span>2

Subtract 8 from each side
</span></span><span><span><span>−<span>10t </span></span>+ 8 </span>− 8 </span>= <span><span>−2 </span>− <span>8</span></span>
-10t = -10

Divide each side by -10
-10t ÷ -10 = -10 ÷ -10
t = 1
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Drake rolls two fair number cubes.
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Answer:

The probability that the product of 2 numbers that Drake rolls is less than = \frac{17}{36}

Step-by-step explanation:

Drake rolls two fair number cubes i.e. 6 sided die. He then multiplies the numbers shown on each die. The result of the all possible products are shown in the given table. The given table is missing a 1 in the first row. The complete first row will be:

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The total number of possible outcomes are 36. We have to find the probability that product of two numbers that Drake rolled is less than 10. For this, first we need to count the number of outcomes that are less than 10. From the table we can see that the number of possible outcomes that are less than 10 are = 17

Probability is defined as the ratio of favorable outcomes to the total number of outcomes. Here, total outcomes are 36 and favorable outcomes are 17.

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The probability that the product of 2 numbers that Drake rolls is less than = \frac{17}{36}

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The prime cost of an article was four times the value of material used. The cost of raw materials was increased in the ratio 3 :
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Answer:

Step-by-step explanation:

The prime cost = 4 times the value of material used

Former Prime cost = 540

Value of material = 540 / 4 = Rs. 135

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Prime cost = raw material + wages

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Wages = 540 - 135

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Increase in raw material ; 3 : 4

New cost of raw materials = (4/3) * 135 = 180

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