A two digit number is 4 times the sum of its digits and twice the product of its digit.FIND THE NUMBER

Answers

Answer 1

Answer: x - tenths digit
y - units digit

$10x+y=4(x+y)\n 10x+y=2xy\n\n 10x+y=4x+4y\n 10x+y=2xy\n\n 6x=3y\n 10x+y=2xy\n\n 3x=y\n 10x+y=2xy\n\n 10x+3x=2x\cdot3x\n 13x=6x^2\n 6x^2-12x=0\n 6x(x-2)=0\n x=0 \vee x=2\n\n y=3\cdot2\n y=6\n\n 10\cdot2+6=\boxed{26}$

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Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6.The probability that the sum of the numbers rolled is either a multiple of 3 or 4 is

Answers

Answer:

The probability that the sum of the numbers rolled is either a multiple of 3 or 4 is 5/9.

Step-by-step explanation:

As given: Franklin rolls a pair of six-sided fair dice with sides numbered 1 through 6.

A pair of dice has 36 possible outcomes.

The probability that the sum of the numbers rolled is either a multiple of 3 or 4 is $20/36$ or $5/9$

Let 'A' and 'B' be the events that the sum of the numbers rolled is a multiple of 3 and a multiple of 4 respectively.

Set for A = {(1, 2), (1, 5), (2, 1), (2, 4), (3, 3), (3, 6), (4, 2), (4, 5), (5, 1), (5, 4), (6, 3), (6, 6)}, and set for B = {(1, 3), (2, 2), (2, 6), (3, 1), (3, 5), (4, 4), (5, 3), (6, 2), (6, 6)}.

So, together they form 20 sets ((6,6) is repeating so take once)

Hence, we get 20/36=5/9

the multipules of 3 or 4 are 3,4,6
3 out of 6
1/2

probablity is 0.5

Someone help ASAP !!! (10 points)

Answers

Answer:

the second answer

Step-by-step explanation:

If a/4 = 9/a, then
a²=36
4a = 9a
a + 4 = 9 + a
a - 4 = 9 - a

Answers

Answer:

Option A is correct.

The given expression : $(a)/(4) = (9)/(a)$ then;

$a^2 = 36$

Step-by-step explanation:

Given the expression: $(a)/(4) = (9)/(a)$

Cross multiplication the given expression following steps are as follow;

Multiply numerator of the left-hand fraction by the denominator of the right-hand fraction

Also, Multiply numerator of the right-hand fraction by the denominator of the left-hand fraction.

then, set the two products equal to each other.

Using cross multiplication, on the given expression;

$(a)/(4) = (9)/(a)$

First multiply the numerator of the left hand fraction(i.e,a ) by the denominator of the right hand fraction (i,e a)

we have;

$(a * a)/(4) = 9$

Simplify:

$(a^2)/(4) =9$ [1]

now, multiply numerator of the right-hand fraction( i.e, 9) by the denominator of the left-hand fraction (i.e, 4 ) in [1]

we have;

$a^2 = 9* 4$

Simplify:

$a^2 = 36$

Therefore, the given expression is equal to: $a^2 = 36$

The answer is a²=36

$(a)/(4) = (9)/(a)$
Multiply both sides of the equation by 4a:
$4a*(a)/(4) =4a* (9)/(a) \n a*a=4*9 \n a^(2) =36$

Let f(x) = x2 − 8x + 5. Find f(−1)

Answers

f(x) = x² - 8x + 5
f(-1) = (-1)² - 8(-1) + 5
f(-1) = 1 + 8 + 5
f(-1) = 9 + 5
f(-1) = 14

$f(x) = x^2- 8x + 5$

$f(-1) = (-1)^2- 8(-1) + 5$

$f(-1) = 1 + 8 + 5$

$f(-1) = 9 + 5$

$f(-1) = 14$

Help please! answer correctly for brainliest . ( look at picture for problem )

Answers

Answer:

The slope is -2.

Step-by-step explanation:

1) The equation for a slope is $(y_2-y_1)/(x_2-x_1)$ .

2) Plug in x and y values into the equation. I plugged in (3,0) and (8,-10) into the equation.

3) You end up with: $(-10 -0)/(8-3)$ , which simplifies down to $(-10)/(5)$ , which equals -2.

Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)

Answer:

the slope is -2.

Step-by-step explanation:

plot the points on a graph, then draw a line through them. count the rise/run, which equals the slope.

Complete the statement, then write the postulate you used. Please help! I’ll give brainliest!

Answers

The answer is MN with a bar/line on top of it

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