Answer:
1134
Step-by-step explanation:
We have 3 digits:
a, b, c
a 3 digit number can be written as:
a*100 + b*10 + c*1
Such that these numbers can be:
{1, 2, 3, 4, 5, 6, 7, 8, 9}
Let's assume that:
a < b < c
Then the 3 smaller numbers are:
a*100 + b*10 + c
a*100 + c*10 + b
b*100 + a*10 + c
The 3 larger numbers are:
b*100 + c*10 + a
c*100 + a*10 + b
c*100 + b*10 + a
We know that the sum of the 3 smaller numbers is equal to 540, then:
(a*100 + b*10 + c) + (a*100 + c*10 + b) + (b*100 + a*10 + c) = 540
Let's simplify this:
(a + a + b)*100 + (b + c + a)*10 + (c + b + c) = 540
(2a + b)*100 + (b + c + a)*10 + (2c + b) = 540
The sum of the 3 larger numbers is equal to X, we want to find the value of X:
(b*100 + c*10 + a) + (c*100 + a*10 + b) + (c*100 + b*10 + a) = X
Now let's simplify the left side:
(b + c + c)*100 + (c + a + b)*10 + (a + b + a)*1 = X
(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X
Then we have two equations:
(2a + b)*100 + (b + c + a)*10 + (2c + b) = 540
(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X
Notice that the terms are inverted.
By looking at the first equation, we can see that:
(2c + b) = 10 (because the units digit of 540 is 0)
Then, we can see that:
(b + c + a + 1 ) = 14 (the one comes from the previous 10)
finally:
(2a + b + 1) = 5 (the one comes from the previous 14)
Then we can rewrite:
(2*c + b) = 10
(b + c + a) = 14 -1 = 13
(2a + b) = 5 - 1 = 4
Now we can replace these 3 in the equation:
(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X
(10)*100 + (13)*10 + 4 = X
1000 + 130 + 4 = X
1134 = X
The sum of the 3 largest numbers is 1134.
SOMEONE PLEASE HELP!!
Answer:
RV = 18
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
RV = [tex]\frac{1}{2}[/tex] RT = [tex]\frac{1}{2}[/tex] × 36 = 18
A pair of linear equations is shown
y=-3x5
y=x+2
Which of the following statements best explains the steps to solve the pair of equations graphically?
on a graph, find the point of intersection stwo lines; the first line has y-intercept - 5 and slope - -3, and the second line has y-intercept = 2 and slope - 1.
On a graph, find the point of intersection of two lines, the first line has y-intercept -3 and slope - 5, and the second line has y-intercept - 1 and slope - 2.
On a graph, find the point of intersection of two lines, the first line has y-intercept -- and slope - 3, and the second line has y-intercept = -2 and slope --1
On a graph, find the point of intersection of two lines; the first line has y-intercept = 3 and slope -5, and the second line has y-intercept -1 and slope --2.
Answer:
y=-3×5
so'n
y=-15ans
another has no number only one number 2 alphabets
There is a bag with only red marbles and blue marbles.
The probability of randomly choosing a blue marble is
There are 63 marbles in total in the bag and each is equally likely to be chosen.
Work out how many red marbles there must be.
Answer:
There might be 31 or 32
Step-by-step explanation:
I would have a better answer if i knew the probability of the blue marbles being chosen srry.
Use slope to determine if lines AB and CD are parallel, perpendicular, or neither. A(0,2), B(5,4), C(1,8), and D(3,3). What is the slope of line CD? Enter as a ratio in its lowest terms.
Answer:
Perpendicular, CD has a slope of -5/2
Step-by-step explanation:
Parallel lines have the same slope, perpendicular have slopes that are negative reciprocals, or in other words if one slope is m then the other's slope is -1/m and if it is neither fo those then it is neither parallel or perpendicular. Also, if two lines have the same slope you have to make sure they are not the same line.
Now, to find the slope when you have two points you use the formula (y2 - y1)/(x2 - x1), where the points are (x1, y1) and (x2, y2). You can make either point point 1 or point 2. Just make sure x1 and y1 are from one point and x2 and y2 are from the other point.
So the two lines are AB and CD. Since the question asks I will start with CD. The points are (1,8) and (3,3) So I will call C point 1 and D point 2.
(y2 - y1)/(x2 - x1)
(3 - 8)/(3 - 1)
-5/2
Thankfully this is lowest terms.
Now for AB. A will be point 1 and B will be point 2
(y2 - y1)/(x2 - x1)
(4-2)/(5-0)
2/5
So they are not the same, so what if you take negative 1 over one of the slopes.
well. -1/(2/5) = -5/2
So these are perpendicular.
If you would like an explanation for how to find the full equation of a line I can explain that.
Need help on this question asap pleasee :)
Answer:
1/4
Step-by-step explanation:
Pls ans this question step by step not only ans if it will help me than I will thanks uu comment uu pls ansme
Answer:
-2x+7
Step-by-step explanation:
Take -4 + 3a 2 from 7a - a 2.
Answer:
Refer to the attachment!~
BD=16 and AC is the perpendicular bisector of BD
Answer:
AC =
Step-by-step explanation:
AC = 16/2
= 8
THAT IS THE SOLUTION ABOVE
Does the point (7, 2) satisfy the equation y = x - 5? yes no
Yes
Replace x in the equation with the x in the solution and see if t equals the y in the solution:
Y = 7-5 = 2
The answer is yes.
Where do the light-dependent reactions of photosynthesis occur in a plant cell? Choose 1 answer:
A) Chloroplast; stroma
B) Mitochondrion: thylakoid membrane
C) Chloroplast; thylakoid membrane
D) Chloroplast: outer membrane
Answer:
C) Chloroplast; thylakoid membrane
Step-by-step explanation:
The question is a biological science question
The light-dependent reactions also known as the light reactions take place at the location site of the chlorophyll of the plant cell, within the chloroplast thylakoid membrane, and involves the energizing of the electrons within the pigment molecules, the electrons are then transferred through a transport chain within the thylakoid membrane
The dark reactions take place inside the stroma
Therefore, the correct option is chloroplast; thylakoid membrane
choose the equation that's the line that passes through the point (-2,-3) and has a slope of -6
Answer:
Y = -6X - 15
Step-by-step explanation:
-3 = -6(-2) + B
-3 = 12 + B
B= -15
Answer:
You didn't attach the options, but y = - 6x - 15
Step-by-step explanation:
Using the equation y = mx + b, you can plug in values that you have to solve for b, the y intercept. Since m is the slope and the slope is - 6, and you have a y and x value, you can write the equation as follows:
-3 = - 6 * -2 + b
Then solve for b
-3 = 12 + b
-15 = b
Then you rewrite the original formula with the values of m and b:
y = - 6x - 15
Prove:tan^3x/sin^2x-1/sinx.cosx+cot^3x/cos^2x=tan^3x+cot^3x
Answer:
picture above my answer is the answer you asked
Calculate the sum of the integers from 52 to 108
Answer:
4560
Step-by-step explanation:
f(x) = x5 – 9x3 Choose all of the zeroes of f(x)
Answer:
[tex]x^{3} (x^{2} -9)[/tex]
[tex]x^{3} (x+3)(x-3)[/tex]
zeros at : 0,3,-3
Step-by-step explanation:
What are the solutions to X2 + 8X + 7 = 0?
Answer:
x = - 7, x = - 1
Step-by-step explanation:
Given
x² + 8x + 7 = 0
Consider the factors of the constant term (+ 7) which sum to give the coefficient of the x- term (+ 8)
The factors are + 7 and + 1 , since
7 × 1 = 7 and 7 + 1 = 8 , then
(x + 7)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x + 1 = 0 ⇒ x = - 1
Answer:
[tex]x=-1,-7[/tex]
Step-by-step explanation:
[tex]x^2+8x+7=0[/tex] where a [tex]\neq[/tex] 0 so a = 1 b = 8 c = 7
Quadratic Formula: [tex]x=-b\frac{\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=-8\frac{\sqrt{8^2-4(1)(7)} }{2(1)}[/tex]
[tex]x=-8\frac{\sqrt{64-28} }{2}[/tex] Evaluate the exponent and multiply 4ac
[tex]x=-8\frac{\sqrt{36} }{2}[/tex] Subtract b^2 - 4ac and multiply 2a
[tex]x=-8\frac{\sqrt{6} }{2}[/tex] Solve for the sqrt root of 35
x = - 8 ± 6/2 =
x = - 8 + 6/2 = -1
x = - 8 - 6/2 = -7
Please help me... I stink at math
Answer:
142 [tex]cm^3\\[/tex]
Step-by-step explanation:
You have to do [tex](7*5)+(5*3)+(7*3)+(7*3)+(5*7)+(3*5)[/tex].
This equals 142 [tex]cm^3\\[/tex].
Answer:
The answer is 142cm
Step-by-step explanation:
What is y?
[tex]8^{y+2}=\frac{2^4}{4^{2y}}[/tex]
Can someone please explain to me in details and show me the steps TvT?
Answer:
y = -2/7
Step-by-step explanation:
8^(y+2) = 2^4/4^(2y)
you want to on both sides so you can solve for the exponents
8= 2^3
4= 2^2
2^3y+6 = 2^4/2^(4y)
2^(3y+6) = 2^(4-4y)
3y + 6 = 4 - 4y
7y = -2
y = -2/7
PLS PLS PLS PLS PLS PLS PLS HELP I DON'T GET IT!!! Write missing monomials to make an identity:
A) (.....+2a)^2=.....+12ab+4*....
B) (3x+.....)^2=....*x^2+.....+49y^2
Answer:
I only have the answer for B
Step-by-step explanation:
This is the answer: 1st blank: 7y
2nd blank: 9
3rd blank: 42xy
Henri bought a swim suit at a cost of $8. Which statements are true regarding the cost of the suit?
Answer:
What are the statements?
Step-by-step explanation:
if you roll a single die and get 4 fives in a row what is the probability that you would get a 5 on the next roll
Answer
(1/6)⁴ = 1/1296
Step-by-step explanation:
robabilty of getting a 5 in a throw of dice is 1/6 . So, the required probability of getting 4 5’s in rolling a dice 4 times is (1/6)4
I do not understand any of this
Answer:
to get the slope. take the change of y axis value divide by the change of x axis value
No trolling please. I will mark brainlist
Answer:
A) $35.80
B) $28.64
Step-by-step explanation:
I'm not sure tho it might be wrong
El solar de Maria tiene forma rectangular los lados miden 36 cm y 40 cm ¿Cuántos metros cuadrados tiene el terreno? ¿Cuál es el perímetro del terreno?
Respuesta:
Área del rectángulo = 0.144m²
Perímetro del rectángulo = 1,52 m²
Explicación paso a paso:
Dado que el área del rectángulo = Largo * Ancho
Convertir cm a m
Los 36cm = los 0.36m
Los 40cm = los 0.4m
Sustituir;
Área del rectángulo = 0.36 * 0.4
Área del rectángulo = 0.144m²
Perímetro del rectángulo = 2 (L + W)
Perímetro del rectángulo = 2 (0.36 + 0.4)
Perímetro del rectángulo = 2 (0,76)
Perímetro del rectángulo = 1,52 m²
GIVING BRAINLIEST!! Which of the following ordered pairs lies on the graph of y = tanx?
(5 pi, 0)
(-9pi/4, 1) <---- this is wrong
(-5pi, -1)
(pi/6, √3)
Answer:
[tex](5\pi ,0)[/tex]
Vincent has $5 bills and $20 bills. He has a total of 24 bills and the total amount is $210. How many
$5 bills does he have?
In parallelogram BCDE if m
C
B
70
50°
E
Answer:
[tex]x=130[/tex]
Step-by-step explanation:
Opposite angles of a parallelogram are equal
EBC = 50° while, CDE = 50° too
Area of a parallelogram is 360°
Suppose, BCD to be x too, & form an equation:
[tex]50+50+x+x=360[/tex]
[tex]100+2x=360[/tex]
[tex]2x=360-100[/tex]
[tex]2x=260[/tex]
[tex]x=260/2[/tex]
[tex]x=130[/tex]
{CHECK: [tex]130+130+50+50=360^{o}[/tex]}
Answer:
m∠DEB = 130°
Step-by-step explanation:
Key: Only two angles are congruent because of the parallelogram
Since m∠EBC = 50° m∠CDE = 50°
Then we are missing m∠BCD and m∠DEB
50 + 50 + m∠BCD + m∠DEB = 360°
100 + m∠BCD + m∠DEB = 360°
m∠BCD + m∠DEB = 360 - 100
m∠BCD + m∠DEB = 260
m∠BCD + m∠DEB = 260/2
m∠BCD + m∠DEB = 130°
m∠BCD and m∠DEB = 130°
The difference of twice a number and five is three.Find the number.Translate the world problem to an equation.Which steps describe how to solve the equation?
Answer:
Step-by-step explanation:
let the number=x
2x-5=3
2x=3+5
2x=8
x=8/2=4
PLEASE HELP!!
Wesley initially filled a measuring cup with 5/6 of a cup of syrup from a large jug. Then he poured 1/2 of a cup back into the jug. How much syrup remains in the measuring cup?
Answer:
2/6 or 1/3
Step-by-step explanation:
We start off with 5/6 of a cup of syrup in a measuring cup.
Then Wesley pours out 1/2 of the syrup in the measuring cup.
Our equation looks like this:
5/6 - 1/2 = ?
However, we can't use this equation because the denominators (6 & 2) aren't the same. So we will find the LCD (least common denominator).
Mulitiples of 6: 6, 12, 18, 24
Multiples of 2: 2, 4, 6, 8
6 is the LCD for the both of them.
Multiply 3 to the numerator and denominator of 1/2 (because to get from 2 to 6 using multiplication, you mulitiply 3)
1/2 x 3/3 = 3/6
Now we can substitue 3/6 into our original equation and solve it:
5/6 - 3/6 = 2/6
It's better to use the simplified answer, 1/3.
Hope it helps and good luck (●'◡'●)
A boat travels to an island and back in 78 minutes. If the speed of the boat going to the island is 14 mph, and its speed returning is 12 mph, how far away is the island
Answer:
8.4 miles
Step-by-step explanation:
Given that :
Total time taken = 78 minutes = 78/60 = 1.3 hours
To Speed = 14 mph
Fro Speed = 12 mph
Let the distance be represented as, d
Distance = speed * time
Time = distance / speed
To time + Fro time = 1.3 hours
d / 14 + d / 12 = 1.3 hours
Take lcm of 14 and 12 ; = 84
(6d + 7d) / 84 = 1.3
13d /84 = 1.3
13d = 1.3 * 84
13d = 109.2
d = 109.2 / 13
d = 8.4 miles
The distance is 8.4 miles
Which of the following equations is used to find the value of c?
Answer:
D. [tex]a^{2} + b^{2} = c^{2}[/tex]
Step-by-step explanation:
Pythagorean Theorem
