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3 years ago

Solve the following equation, answer as a reduced, mixed number. Then place the correct number in the box provided.

Mathematics

2 answers:

riadik2000 [5.3K]3 years ago

8 0

4(3-2x)=15
12-8x=15
-8x=15-12
-8x=3 then divide both sides by -8
x=-0.375

Artemon [7]3 years ago

8 0

Distribute 4 to 3-2x and get 12-8x=15 then add 12 to both sides 8x=27 then divide by 8 on both sides x=3.375

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9. On a game show, there are 16 questions: 8 easy, 5 medium-hard, and 3 hard. If contestants are given questions

just olya [345]

Answer:

$\frac{7}{30}\approx0.23$

Step-by-step explanation:

Given:

Number of questions (N) = 16

Number of easy questions (E) = 8

Number of medium-hard questions (M) = 5

Number of hard questions (H) = 3

Now, the probability of getting the first question as easy question is given as:

$P(E1)=\frac{\textrm{Number of easy questions}}{\textrm{Total questions}}\\\\P(E1)=\frac{E}{N}=\frac{8}{16}=0.5$

Now, probability of getting the second question as easy question is given as:

$P(E2)=\frac{\textrm{Number of easy questions left}}{\textrm{Total questions left}}\\\\P(E2)=\frac{E-1}{N-1}=\frac{7}{15}$

Now, probability that the first two contestants will get easy questions is given by the product of $P(E1)\ and\ P(E2)$ . So,

$P(2\ easy\ questions)=P(E1)\times P(E2)\\\\P(2\ easy\ questions)=\frac{1}{2}\times \frac{7}{15}\\\\P(2\ easy\ questions)=\frac{7}{30}\approx 0.23$

Therefore, the probability that the first two contestants will get easy questions is $\frac{7}{30}\approx0.23$

7 0

3 years ago

Eli is following this recipe to bake bread rolls. He uses 700 g of flour. How much of the other ingredients does he use? Recipe:

defon

Answer:

Step-by-step explanation:

ok so i think you need 15g sait/7g yeast/29ml oil/428ml water

5 0

4 years ago

Estimation is useful in all mathematics operations. Tell whether the answer to this problem is sensible 18 - 5 = 23

noname [10]

Answer:

It is not sensible.

explanation:

You are subtracting, so there is no way you could get a larger number. If this was addition, it would be sensible.

4 0

4 years ago

A moon's physical diameter is about 3800.0 km, and its orbital distance from its planet varies between 360,000 km and 430000.0 k

Paul [167]

Answer:

Step-by-step explanation:

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3 years ago

Kong took 15\%15%15, percent fewer seconds than Nolan took to complete his multiplication timed test. Kong took 858585 seconds.

KIM [24]

Answer:

Nolan took <u>100</u> seconds.

Step-by-step explanation:

Given:

Kong took 15%, percent fewer seconds than Nolan took to complete his multiplication timed test.

Kong took 85 seconds.

Now, to find the number of seconds Nolan take to complete the test.

Let the number of seconds Nolan take be $x.$

Kong took = 85 seconds.

As, given Kong took 15%, percent fewer seconds than Nolan took.

Now, to get the number of seconds Nolan took:

$x-15\%\ of\ x=85$

$x-\frac{15}{100} \times x=85$

$x-0.15x=85$

$0.85x=85$

<em>Dividing both sides by 0.85 we get:</em>

$x=100.$

Therefore, Nolan took 100 seconds.

5 0

3 years ago

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