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.
determine which two values the following expression is between.
Answer:
Between 12.8 and 12.9
Step-by-step explanation:
Firstly, we would need to get the value of the surd
So we have this as;
2 √41 = 12.81
Now, looking at the options, we can see that it lies between 12.8 and 12.9; this is our answer
Evaluate the expression. 37
Answer:
[tex]2187[/tex]
Step-by-step explanation:
[tex] {3}^{7} \\ = (3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3) \\ = 2187[/tex]
Hope it is helpful....Answer:
2187
Step-by-step explanation:
3*3=9
9*3=27
27*3=81
81*3=243
243*3=729
729*3=2189
Can some help with this problem
Answer:
20 degrees.
Step-by-step explanation:
The interior angles of a triangle add up to 180 degrees. One of them, bottom right, is already shown as 70 degrees. You can find the bottom left angle by subtracting 110, the supplementary angle, from 180 (the number of degrees in a straight line). The top angle, 2x, is equal to 40 degrees. (180-70-70 = 40). 40/2 = x, so x = 20 degrees.
Which arcs are congruent?
OSP and SR
O PQ and SR
O PQ and QR
O SP and PR
PLEASE HELP
the answer is in the picture
The congruent arcs are P Q and S R
What is congruent?In geometry, congruent refers to equality, agreement in form.
Given:
< P T Q = < S T R
since they are congruent they are equal therefore arcs formed from them are congruent .
Arcs formed from them
P Q is from < P T QS R is from < S T RRead more on congruent here: https://brainly.com/question/2938476
Between the numbers 15/20 and 35/40 , the greater number is
a. 15/20 b. 20/15 c. 35/40 d. 45/30
Answer:
35/40
Step-by-step explanation:
To compare, both denominator should be same.
[tex]\frac{15}{20}=\frac{15*2}{20*2}=\frac{30}{40}\\\\\\\frac{30}{40} \ < \ \frac{35}{40}\\\\\\\frac{15}{20} \ < \ \frac{35}{40}[/tex]
[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]
⠀the numbers 15/20 and 35/40⠀⠀⠀[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]
⠀⠀⠀⠀
the greater number is[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]
we have to find the greater number between 15/20 and 35/40
To do this,
we have to compare the denominator same.
[tex]\sf{\dfrac{35}{40}=\dfrac{35×1}{40×1}=\dfrac{35}{40} }[/tex] [tex]\sf{\dfrac{15}{20}=\dfrac{15×2}{20×2}=\dfrac{30}{40} }[/tex]According to the question,
we have to find the greatest one
[tex]\sf{\dfrac{35}{40} > \dfrac{30}{40} }[/tex] [tex]\sf{\dfrac{35}{40}>\dfrac{15}{20} }[/tex][tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]
⠀⠀
[tex]\therefore\mathrm{\dfrac{35}{40} > \dfrac{15}{20} }[/tex]
⠀⠀
430,400,000+342,000,000 adding scientific notation
Answer:
772,400,000
Step-by-step explanation:
Hope This Helps :) :) :)
please help ,,
supply the missing reason in statement 4 of the proof of the isosceles triangle theorem.
Answer:
h
Step-by-step explanation:
20 is what percent of 52? Round your answer to the nearest tenth.
20 is about
5
% of 52.
The number x percent of 52 gives 20. Thus, the number x would be equal to 38.5.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
We need to find the number x percent of 52 which gives 20.
x% of 52 = 20
x/100 × 52 = 20
x = 20 × 100/ 52
x = 0.384615
convert it to a percentage by multiplying by 100
38.4615
round to the nearest tenth
38.5
Learn more about percentages;
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please hurry :(
Given m||n, find the value of x.
m
xº
1189
+-
Answer:
62°
Step-by-step explanation:
help it’s very urgent please !!!!
Answer:
There are 7 blue flowers.
Step-by-step explanation:
Total flowers: 30
Use the chart to find the red, white, and yellow flowers.
Red: 8
White: 10
Yellow: 5
Find the sum of the these three colored flowers:
8 + 10 + 5
23
Find the difference between the total flowers and the sum of the three colored flowers:
30 - 23
7
7 blue flowers
I NEED HELP ASAP!!!!!!!!!!!PLEASE
Answer:
74.8% approximately
Step-by-step explanation:
Area of circle is pi×r^2=pi×4^2=16pi=50.27 approximately
Area of pentagon (assumption regular pentagon)=5/2×apothem×side length=5/2(3.2)(4.7)=37.6
So the probability that it lands in the red is 37.6/50.27 approximately =74.8% approximately
Which is a simplified form of the expression -6a + 2(2a + 2)?
A.-2a + 4
B. -2a - 4
C. 2a + 4
D. 2a - 4
Answer:
-2a +4
Step-by-step explanation:
-6a + 2(2a + 2)
Distribute
-6a +4a +4
Combine like terms
-2a +4
Answer:
Answer A is correct
Step-by-step explanation:
First Solve the brackets
[tex] - 6a + 2(2a + 2) \\ - 6 a+ 4a + 4[/tex]
Then combine like terms
[tex] - 6 a+ 4a + 4 \\ - 2 a + 4[/tex]
which of the following is the equation of a line that passes through the points (1,6) and(2,1)
Answer:
y=1x-5
Step-by-step explanation:
it goes over to the right 1 time and down 5
(1+1,6-5)=(2,1)
If EC = 10cm what must AC be if ABCD is a parallelogram?
5
10
or 20?
Answer:
it is 20 vecause I say so yeah hey guts
Find the greatest common factor of the
following monomials:
30a^4b^4 28a^6b^5
The volume of air inside a rubber ball with radius r can be found using the function V(r)= 4/3pier^3 what does V(5/7) represent?
Answer:
Step-by-step explanation:
I can tell you what it represents, but not what it means. Or maybe the units.
V(5/7) means that wherever you see an r on the right hand side, you put in 5/7 where the R is.
V = 4/3 * pi * r^3
V(5/7) = 4/3 * 3.14 * (5/7)^3
V(5/7) = 4/3 * 3.14 * 125 / 343
V(5/7) = 4/3 * 3.14 * 0.3644
V(5/7) = 1.526 cubic units (of whatever the units of 5/7 were to begin with)
A man and his wife share a lottery prize of $1 500 000 in the ratio of 41:34. What is the difference between the man's share and his wife's share
Answer:
$140,000
Step-by-step explanation:
Value of lottery = $1,500,000
Man's ratio = 41
Wife's ratio = 34
Total ratio = 41 + 34 = 75
Man's share = Man's ratio / Total ratio * Value of lottery
= 41/75 * $1,500,000
= 0.5466666666666 * $1,500,000
= $820,000
Wife's share = wife's ratio / total ratio * Value of lottery
= 34/75 * $1,500,000
= 0.4533333333333 * $1,500,000
= $680,000
Difference between the man's share and his wife's share
= Man's share - wife's share
= $820,000 - $680,000
= $140,000
NEED HELP ASAP what function is this??
Answer:
linear
Step-by-step explanation:
the graph in the above equation is linear function
Can someone help me with this math homework please!
Answer:
addition one is: (1/2) + 5x - (1/2)= 8 - (1/2)
muliplcation one is: (4x)(1/4)=(3) (1/4)
subtracting one is: 3x-4+4=12+4
division one is: 55/11 = 11x/11
Step-by-step explanation:
Hope this helps and good luck :)))
If trstan has a pickup truck that could carry 7/4 cord of firewood, FInd the number trips needed to cary 63 cords of wood
Answer:
36
Step-by-step explanation:
63/(7/4) 63 divided by 7/4
63* 4/7 63 multiplied by 4/7
=36 answer is 36
Find x. Round to the nearest hundredth
Answer:
x ≈ 15.66
Step-by-step explanation:
Using the sine ratio in the right triangle
sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )
x × sin50° = 12 ( divide both sides by sin50° )
x = [tex]\frac{12}{sin50}[/tex] ≈ 15.66 ( to the nearest hundredth )
Directions: Graph each equation by using the y-intercept and slope( make sure too show your work)
FIRST QUESTION: y= -2/3x-1
y-intercept=____
Slope:____
Given:
The equation of a linear function is:
[tex]y=-\dfrac{2}{3}x-1[/tex]
To find:
The y-intercept and slope of the given equation, then draw the graph of the equation.
Solution:
Slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept
We have,
[tex]y=-\dfrac{2}{3}x-1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=-\dfrac{2}{3}[/tex]
[tex]b=-1[/tex]
Therefore, the y-intercept is -1 and the slope of the line is [tex]-\dfrac{2}{3}[/tex].
It means the graph intersect the y-axis at point (0,-1) and having slope [tex]-\dfrac{2}{3}[/tex]. So, the graph of the equation is shown below.
One of Eric's steps is 18in long. How many steps would he take to walk 1 mile?
Answer:
3520 steps
Step-by-step explanation:
The first thing we must do is figure out how many inches are in a mile. (There are 63,360 inches in one mile). With that out of the way, we can now divide these inches by 18, since each of Eric's steps are 18 inches long, and we want to determine how many steps he would have to take. 63,360 divided by 18 is 3520. This means our answer is 3520 steps, and that is how many steps he must take to walk 1 mile. I hope you understood and please let me know if you still need help!
Answer: 3520 steps
Step-by-step explanation:
1 mile = 63360 inches1 step = 18 inUse proportions and set x = number of steps in a mile:
[tex]\frac{1}{18 in}=\frac{X}{63360 in}[/tex]
18x = 63360
x = 63360 ÷ 18 = 3520 steps.
If a window is to be 6 feet wide, how high should it be, to the nearest tenth of a foot, to be a golden rectangle
Answer:
3.7 feet
Step-by-step explanation:
A golden rectangle is a rectangle in which the length and the width are in the ratio 1 : 1.618
If the width of the rectangle is 6, the length = 6 / 1.618 = 3.708 ft
= 3.7 (to the nearest tenth)
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Which applies the power of a power rule properly to simplify the expression (710)5?
Answer:
I45
Step-by-step explanation:
What is the standard form equation of the line shown below? Graph of a line going through negative 1, 5 and 2, 4
Answer:
y = -1/3x + 14/3
Step-by-step explanation:
We have the standard equation as;
y = mx + b
where m is the slope and b is the y-intercept
the given points are;
(-1,5) and (2,4)
So we plug x and y for each of the points
then we create two linear equations which we can solve simultaneously to get the values of m and b
From the points;
5 = -m + b•••••••(i)
4 = 2m + b
from i;
b = 5 + m
substitute this into equation ii
4 = 2m + 5 + m
4 = 3m + 5
4-5 = 3m
3m = -1
m = -1/3
Recall;
b = 5 + m
b = 5-1/3
b = 14/3
so we have the equation as;
y = -1/3x + 14/3
Multiply through by 3
3y = -x + 14
Find the equation of a quadratic function in general form whose graph has points: (-2, 3) (0, 3) and (-4,-5).
Try your best to show complete work & explain your strategy.
Answer:
-x²-2x+3
Step-by-step explanation:
The first thing I noticed is that the first and second point has the same y intercept despite being only 2 x coordiantes away. This must mean that the vertex's x coordiante is probably (-1,4)
Because the vertex is probably (-1,4) the graph must also be concave down because the point (-4,-5) is below it
writing this in vertex form we get
-a(x+1)²+4
Where a is some constant
solve for a by plugging in (0,3)
3= -a(0+1)²+4
3= -a+4
-1= -a
a=1
therefore the equation looks like
-(x+1)²+4
expanding this so that it's in stantard form...
-(x²+x+x+1)+4
-x²-2x+3
which is the final answer
TIMED HELP PLEASE. Verify which of the following are identities.
Answer:
D=Only the first equation is an idenity
Step-by-step explanation:
Use the graph below, find f(10).
6points!!!
Answer:
the answer is a
tell me if it’s rite or wrong I did the work as best as I could
f(10) is undefined.
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is the graph of a function?"It is the set of points on the coordinate plane which satisfies the given function."
For given question,
We need to find the value of a function at x = 10.
We can observe that, when x = 10, the function value 2 is denoted by an open circle.
This means the function do not have value 2 when x = 10
Therefore, f(10) is undefined.
Learn more about the function here:
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Find the center and radius of the circle. Help !!
Answer:
the center is -1,1 and the radius is 4 i think
Step-by-step explanation:
