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Eva8 [605]
3 years ago
5

Mac and his brother Ted collect coins. Mac's collection contains 8 more than twice as many as Ted's. If the total number of coin

s in the two collections is 74, how many coins are in each collection? If x represents the number of coins in Ted's collection, then which expression represents the number of coins in Mac's collection?
x + 2(8)
2( x + 8)
2 x + 8
Mathematics
2 answers:
Natalka [10]3 years ago
7 0
2x + 8 that's the right answer just letting you know yeah your welcome have a good one homie ;)
mixas84 [53]3 years ago
3 0
The third option makes the most sense because 2 times what ted would be 2x plus 8 more. 2x+8
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The diameter of a human hair is 9 \cdot 10^{-5}9?10 ?5 9, dot, 10, start superscript, minus, 5, end superscript meters. The diam
pishuonlain [190]

Answer:

 8.7 \times 10^{-5}

Step-by-step explanation:

Given that the diameter of a human hair

Given that the diameter of a spider's silk

Now we have to find how much greater is the diameter of a human hair than the diameter of a spider's silk. To find that we just need to subtract the given numbers. Since powers are not same so let's make them equal now we can easily subtract the coefficients that is 3 from 9  = (90-3) \times 10^{-6}

= 87 \times 10^{-6}

= 8.7 \times 10^{-5}

8 0
4 years ago
Cube Root Function Question! 15 points!
djverab [1.8K]

Answer: Second option.

Step-by-step explanation:

Below are some transformations for a function  f(x) :

1. If f(x)+k, the function is shifted "k" units up.

2. If f(x)-k, the function is shifted "k" units down.

3. If f(x-k), the function is shifted "k" units right.

4. If f(x+k), the function is shifted "k" units left.

The Cube root parent function is:

f(x)=\sqrt[3]{x}

By definition, the graph of this function passes through the origin, as you can observe in  the picture attached.

In this case, you need to analize the graph given in the exercise. You can see that the the graph of the function h(x) is like the parent function f(x), but shifted 2 units left.

Therefore, based on the transformations explained above, you can determine that the equation of the function h(x) is the following:

h(x)=f(x+2)\\\\h(x)=\sqrt[3]{x+2}

6 0
3 years ago
The largest z-score available in most tables is 2.99, which corresponds to a probability of 99.86%. A fair coin is
lana66690 [7]

Answer:

The number of heads observed is 121.14 heads

Step-by-step explanation:

The formula for the z-score of a proportion is given as follows;

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{pq}{n}}}

Where:

{\hat{p} = Sample proportion

p = Population success proportion = 0.5

q = 1 - p = 1 - 0.5 = 0.5

n = Number in of observation = 200

z = 2.99

Hence, we have;

z=\dfrac{\hat{p}-0.5}{\sqrt{\dfrac{0.5 \times 0.5}{200}}} = 2.99

Therefore;

{\hat{p}-0.5}{} = 2.99 \times \sqrt{\dfrac{0.5 \times 0.5}{200}} = 2.99 \times\dfrac{\sqrt{2} }{40}

{\hat{p} = 0.6057

Whereby \ \hat p = \dfrac{Number \ of \ heads}{Number \ of \ observation} =  \dfrac{Number \ of \ heads}{200} = 0.6057

∴ The number of heads observed = 200 × 0.6057 = 121.14 heads.

5 0
3 years ago
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rjkz [21]

Answer:

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Step-by-step explanation:

Given

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To factor the quadratic

Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)

The factors are - 5 and - 7, since

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x² - 12x + 35 = (x - 5)(x - 7) and

x³ - 12x² + 35x = x(x - 5)(x - 7) ← in factored form

4 0
4 years ago
21.60 divided by 1.35 is what?
klasskru [66]

Answer:

16

Step-by-step explanation:

21.60 divided by 1.35=16

8 0
3 years ago
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