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3 years ago

five twice the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the number. what is the number?

1 answer:

5 0

Answer: -4.5, but only if the phrase "five twice the sum . . ." means 5*2*(the sum of . . .). "five twice" is confusing, so please check the question.

Step-by-step explanation:

5*2*(X + 3) = 3*(2X - 1)

10X + 15 = 6X -3

4X = -18

X = -18/4

X = - 4.5

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What is value of x?<br> Enter your answer in the box.

marin [14]

Answer:

$x \ = \ 10$

Step-by-step explanation:

Let point $D$ be the point where the straight line drawn from point $A$ meets the straight line $BC$ , it is evident that $\triangle ABD$ and $\triangle ACD$ is similar given that both triangles share the same angle, $\angle BAD \ = \ \angle DAC$ . Hence, the ratio of the sides of each triangle is the same. Specifically,

$\displaystyle{\frac{x+4}{8} \ = \ \frac{2x+1}{12}}$ .

Performing cross multiplication yields

$12\left(x+4\right) \ = \ 8\left(2x+1\right) \\ \\ \rule{0.15cm}{0cm}12x+48 \ = \ 16x+8 \\ \\ \rule{1.1cm}{0cm} 4x \ = \ 40 \\ \\ \rule{1.3cm}{0cm} x \ = \ 10$ .

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1 year ago

What times what equals 59

sweet-ann [11.9K]

59 is a "prime number". It has no factors except ' 1 ' and itself.

So the only possibility is 1 x 59 .

5 0

3 years ago

If a student randomly guesses at 20 multiple-choice questions, find the probability that the student gets exactly four correct.

ad-work [718]

Answer:

Probability = 0.190

Step-by-step explanation:

Given:

Number of questions, 'n' = 20

Each question has four choices.

Let event of choosing correct answer be success and its probability be represented by 'p'.

Therefore, event of choosing wrong answer is failure and its probability be represented by 'q'.

Now, probability of success is choosing one correct answer out of 4 options. So, $p=\frac{1}{4}=0.25$

Now, 'p' and 'q' are complements of each other. Therefore,

$q=1-p=1-0.25=0.75$

Now, we need 4 successes. Therefore, $x=4$

Using Bernoulli's theorem to find 'x' successes from 'n' questions, we get:

$P(x)=_{x}^{n}\textrm{C}p^xq^{n-x}$

Plug in 4 for 'x', 20 for 'n', 0.25 for 'p' and 0.75 for 'q'. Solve.

$P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{20-4}\\P(4)=_{4}^{20}\textrm{C}(0.25)^4(0.75)^{16}\\P(4)=4845\times (0.25)^4\times (0.65)^{16}\\\\P(4)=0.1896\approx0.190$

Therefore, the probability of getting 4 correct answers out of 20 questions is 0.190.

6 0

3 years ago

Write one number that is a factor of 13.

maw [93]

Answer: 1 and 13

Step-by-step explanation: To find the factors of 13, begin by dividing 13 by 1 which gives us 13. This tells us that 1 and 13 are factors of 13.

13 is a prime number which means it only has two factors which are 1 and 13.

3 0

3 years ago

Read 2 more answers

What is the ratio for 45 miles and 0.75 hours

alisha [4.7K]

Answer:

I'm pretty sure it is 60 miles per hour (60:1)

Step-by-step explanation:

I used a unit rate calculator

Sorry if I'm wrong

6 0

3 years ago

five twice the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the number. what is the number? ​

five twice the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the number. what is the number?