All categories

3 years ago

If a:3=b:4 then 4a-3b+5=??

Mathematics

1 answer:

gladu [14]3 years ago

6 0

Answer:

4a - 3b + 5 = 5

Step-by-step explanation:

Express the ratios in fractional form

$\frac{a}{3}$ = $\frac{b}{4}$ ( cross- multiply )

4a = 3b ( subtract 3b from both sides )

4a - 3b = 0

Then

4a - 3b + 5 = 0 + 5 = 5

You might be interested in

XD me banearon de nuevo pero regrese igualmente no me pueden moderadores.

aleksandrvk [35]

Answer:

yeah what you said

7 0

3 years ago

What is 52 divided by 8 incluing remainder?

joja [24]

8*6=48. 8*7=56. So the highest multiplication you can go without exceeding the value of 52 is 8*6. You then need to subtract 52 by 48 to find the remainder. 52-48=4. So the answer would be 48 remainder 4

8 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

<img src="https://tex.z-dn.net/?f=5%20%2B%20%20%5Cfrac%7Bx%20-%202%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7Bx%20%2B%203%7D%7B8%7D%20" i

sammy [17]

First multiply each term by 24(the common denominator found by 8×3) to remove the fractions and make things easier.
$24(5) + 24( \frac{x - 2}{3} ) = 24( \frac{x + 3}{8} )$
This will give you,
$120 + 8(x - 2) = 3(x + 3)$
Then just continue to simplify and isolate the variable.
$120 + 8x - 16 = 3x + 9$
$8x + 104 = 3x + 9$
$5x = - 95$
$x = - 19$

7 0

3 years ago

If y varies directly as x, and x= 8 when y= 24, what is the value of x when y= 48

saveliy_v [14]

8/24 = x / 48
cross multiply
(24)(x) = (8)(48)
24x = 384
x = 384/24
x = 16 <===

4 0

3 years ago

Read 2 more answers