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.
Rule 1: Multiply by 2 then add 1 starting from 1.
Rule 2: Divide by 2 then add 4 starting from 40.
Sequence 1
Sequence 2
Ordered Pairs
PLZ ANSWER FOR Brainiest
Answer:
1×2+1=3
3×2+1=7
7×2+1=15
15x2+1=31
31×2+1=63
40÷2+4=24
24÷2+4÷16
16÷2+4=12
12÷2+4=10
10÷2+4=9
Find the area of the kite
Answer:
the area to the kite is sixty-four
Step-by-step explanation:
multiply the width to the height
Factor 2x^2 +15x +25 = 0
Answer:
Step-by-step explanation:
(2x + 5)(x + 5) = 0
2x + 5 = 0
2x = - 5
x = -5/2
x + 5 = 0
x = -5
What is the value of y in the equation y = 3x - 2. whenx = 2? *
Answer:
4
Step-by-step explanation:
y=3x-2
y=3(2)-2
y=6-2
y=4
Please help i have exam tom.
Answer:
Step-by-step explanation:
this is a simultaneous equation question
f(1)=8 so a(1) + b = 8
f(4)=17 so a(4) + b = 17
can you figure this out from here ???
if you can't below is how to solve it
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a + b = 8
4a+b=17
multiply the top equation by 4 and then subtract the bottom one from the top
4a+4b = 32
-(4a +b = 17)
3b = 15
b=5
now plug 5 into the first equation
a + 5 = 8
a=3
there you go :)
Miguel's scores on his first three math
PACE Tests were 95, 92, and 90. What
score does he need on his next test to
have a 94 average?
Answer: 99
Step-by-step explanation:
Fourth PACE Test = xSince the average of all four tests is 94:
[tex]\frac{95+92+90+x}{4} =94\\\\(4)\frac{277+x}{4} =(4)94\\\\277+x=376\\\\x=376-277=99[/tex]
I dont understand what to do?
Answer:
a) 122°
b) 37°
Step-by-step explanation:
a) supplement angle of 58° = 180° - 58° =122°
b) complement angle of 53° = 90° - 53° = 37°
6 students were asked the age of their oldest sibling:
21, 31, 26, 24, 28, 26.
Arrange the scores from lowest to highest.
Find the following. LABEL you answers. Q1, Q2, Q3, IQR, and Range.
Q1=
Q2 (median)=
Q3=
IQR= Q3- Q1
IQR=
Range: Max score - Min score
Range =
HELP ASAP PLEASE
Answer:
Q1= 31 AND 28
Q2= 26 AND 26
Q3= 24 AND 21
Step-by-step explanation:
Tommy's birthday party costs $2.94 for every guest the invites. If there are 4 guests, how much will Tommy's birthday party cost?
Answer:
$11.76
Step-by-step explanation:
2.94×4=$11.76
Write a recursive rule for the sequence.
x, x, 2x, 3x, 5x, 8x, ...
I know that it adds its last term but I don't know the rule/formula to show that.
Answer:
f(n)=f(n-1)+f(n-2)
f(1)=1x
f(2)=1x
Step-by-step explanation:
This is the fibonacci sequence with each term times x.
Notice, you are adding the previous two terms to get the third term per consecutive triples of the sequence.
That is:
1x+1x=2x
1x+2x=3x
2x+3x=5x
3x+5x=8x
So since we need the two terms before the third per each consecutive triple in the sequence, our recursive definition must include two terms of the sequence. People normally go with the first two.
f(1)=1x since first term of f is 1x
f(2)=1x since second term of f is 1x
Yes, I'm naming the sequence f.
So I said a third term in a consecutive triple of the sequence is equal to the sum of it's two prior terms. Example, f(3)=f(2)+f(1) and f(4)=f(3)+f(2) and so on...
Note, the term before the nth term is the (n-1)th term and the term before the (n-1)th term is the (n-2)th term. Just like before the 15th term you have the (15-1)th term and before that one you have the (15-2)th term. That example simplified means before the 15th term you have the 14th and then the 13th.
So in general f(n)=f(n-1)+f(n-2).
So the full recursive definition is:
f(n)=f(n-1)+f(n-2)
f(1)=1x
f(2)=1x
Regan earns $1380 per month out of which he saves $1140 per month. What is the ratio (in the lowest form) of Regan's income to his savings? $$
Answer:
23:19
Step-by-step explanation:
This questions is looking for this ratio:
income:savings
Regan's income is $1,380 per month.
Regan's savings is $1,140 per month.
Substitue those numbers in our original ratio, and you'll get this:
1380:1140
However, this question wants the lowest form of the ratio.
To do that, you can find the GCF (greatest common factor) and divide both number's by it, or you can just randomly divide them by small numbers you know both of them are divisible by.
I'm going to use the 2nd method because it's usually quicker for big numbers like these:
1380/10 = 138
1140/10 = 114
138/2 = 69
114/2 = 57
69/3 = 29
57/3 = 19
29 and 19 are prime numbers, so you can't divide them anymore. This is how we know we've reached the lowest terms of these numbers.
So the answer is 29:19
Hope this helps (●'◡'●)
Answer: 23:19
Step-by-step explanation: 1380 and 1140 LCM is 60. 1380/6 = 23 and 1140/6= 19
Therefore, the answer is 23:19
Dairy cows at large commercial farms often receive injections of bST (Bovine Somatotropin), a hormone used to spur milk production. Bauman et al. (Journal of Dairy Science, 1989) reported that 12 cows given bST produced an average of 28.0 kg/d of milk. Assume that the standart deviation of milk production is 2.25 kg/d. (a) Find a 99% confidence interval for the true mean milk production. Round your answers to two decimal places (e.g. 98.76).
Answer:
The 99% confidence interval for the true mean milk production is between 26.33 kg/d and 29.67 kg/d.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.575\frac{2.25}{\sqrt{12}} = 1.67[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 28 - 1.67 = 26.33 kg/d.
The upper end of the interval is the sample mean added to M. So it is 28 + 1.67 = 29.67 kg/d.
The 99% confidence interval for the true mean milk production is between 26.33 kg/d and 29.67 kg/d.
Jose and a group of friends bought concert tickets for $257. The booking agency also charged a fee, bringing the total cost to $274.99. The amount of change is $17.99.
What is the percent increase in the cost due to the fee?
Answer: hello there here is your answer:
7%
Step-by-step explanation:
if you divide the difference between the two numbers it will give you a decimal ....you need to convert that decimal into a percent which is 7%
hope this help have a good day bye
Answer:
the other person is correct
Step-by-step explanation:
For some integer m, every odd integer is of the form a) m b) m + 1 c) 2m d) 2m + 1
Answer:
d) 2m+1
Step-by-step explanation:
for example:
m be 2 then. 2×2+1=5
m be 3 then. 2×3+1=7
Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.
Answer:
{2, 6, 14}
Step-by-step explanation:
Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.
To get the range, we will substitute the values of the domain into the given function as shown;
when x = -1
f(-1) = 4(-1)+6
f(-1) = -4+6
f(-1) = 2
when x = 0
f(0) = 4(0)+6
f(0) = 0+6
f(0) = 6
when x = 2
f(2) = 4(2)+6
f(2) = 8+6
f(2) = 14
Hence the required range are {2, 6, 14}
Anna is following this recipe to make biscuits.
Anna uses 750 g of margarine.
How many grams of sugar will she need?
Recipe: Makes 24 biscuits
60 g sugar
100 mL syrup
250 g oats
125 g margarine
60 g chocolate
Answer:
130
Step-by-step explanation:
Which number line model represents the expression 5/2 + 3
The line graph (A) represents the expression 5/2 + 3 the first term is 2 and-a-half units, and the second term is 3 units option (A) is correct.
What is a number line?It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.
We have an expression:
= 5/2 + 3
Here 5/2 = 2.5 = 2 and half
= 2.5 + 3
The first arrow should indicate the 2 and-a-half unit
And the second arrow should represent the 3 unit
The line graph(A) represents the above situation or expression.
Thus, the line graph (A) represents the expression 5/2 + 3 the first term is 2 and-a-half units, and the second term is 3 units option (A) is correct.
Learn more about the number line here:
brainly.com/question/13189025
#SPJ1
The students in a school can be arranged in 12, 15 and 18 equal rows and also into a solid square. What is the lowest number of students that can be in the school?
Hello,
Let's x then number of students.
x is divisible by 12,15,18 thus by 180 (lcm)
x=180*k is a square
2²*3²*5*k= a square ==> k=5
x=180*5=900
Proof:
900/12=75
900/15=60
900/18=50
900=30²
Can someone help me with this math homework please!
Answer: h = 14
Step-by-step explanation:
7h-5(3h-8)-56 = -128
7h -15h+40-56 = -128
or, -8h-16= -128
or, -8h = -128 + 16
or, -8h = -112
or, 8h = 112
or, h = 112/8
so, h = 14
Answer:
h = 14
Step-by-step explanation:
We are going to use basic algebra to solve this equation.
First, let's isolate the h variables by moving -56 to the other side:
7h - 5(3h - 8) - 56 = -128
(add 56 to both sides)
7h - 5(3h - 8) = -72
Next, let's distribute the -5 to (3h - 8) by separating it from the equation then adding it back:
7h - 5(3h - 8) = -72
Separation:
-5(3h - 8) --> (-5*3h) + (-5*-8) --> (-15h) + (40)
-15h + 40
Adding it back in:
7h -15h +40 = -72
Next, let's simplify it down by adding like terms, meaning adding 7h & -15h:
7h -15h +40 = -72
(add 7h & -15h)
-8h + 40 = -72
Now we're going to move the 40 to the other side but subtracting 40:
-8h + 40 = -72
(subtract 40 to both sides)
-8h = -112
Finally, we're going to divide both sides by -8
-8h = -112 --> h = 14
The answer is h = 14
(You can double check by plugging 14 into the equation and see if it equals -128, which it does, so it's correct :-) )
Hope it helps (●'◡'●)
if f(x) = 2x² +1 and g(x) = x² - 7 find (f+g) (x)
Help me find (f+g)(x) please!
Answer:
[tex](f+g)(x) = 3x^2 - 6[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2 + 1, \ g(x) = x^2 - 7\\\\(f +g)(x) = f(x) + g(x) \\\\(f+g)(x) = 2x^2 + 1 + x^2 - 7 \\\\(f+ g)(x) = 3x^2 - 6[/tex]
Find the area of a circle with radius, R = 6.37m.
Give your answer rounded to 2 DP
Answer:
A = 127.48 rounded
Step-by-step explanation:
Area of a circle:
A = [tex]\pi r^{2}[/tex]
A = [tex]\pi[/tex][tex](6.37)^{2}[/tex]
A = 127.48 rounded
Answer:
It's 127.47
First we take the radius and square it
6.37^2
then we multiply it by pi
40.5769 x π = 127.47
In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Does option 5 apply
Find K if x + 1 is a factor of P(x) = Kx^2-x+2
Answer:
[tex]K=-3[/tex]
Step-by-step explanation:
According to the Factor Theorem, a binomial (x - a) is a factor of a polynomial P(x) if and only if P(a) = 0.
We have the polynomial:
[tex]P(x)=Kx^2-x+2[/tex]
And we want to find the value of K such that (x + 1) is a factor.
We can rewrite our factor as (x - (-1)). Thus, a = -1.
Then in orer for (x + 1) to be a factor, P(-1) must equal 0. Hence:
[tex]P(-1)=K(-1)^2-(-1)+2=0[/tex]
Simplify:
[tex]K+1+2=0[/tex]
Solve for K. Hence:
[tex]K=-3[/tex]
Which of the following equations have no solutions?
Choose all answers that apply:
Α.
5x + 5 = -42 – 5
B
-4x + 5= -42 - 4
–4x + 5 = -4x – 5
D
4x + 5 = -4x + 5
Answer: b and c
a) 5x + 5 = -4x - 5
9x = - 10
x = -10/9
-
b) - 4x + 5 = -4x - 4
0x = -9 (no solution)
-
c) -4x + 5 = -4x - 5
0x = -10 (no solution)
-
d) 4x + 5 = -4x + 5
8x = 0
x = 0
-
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
Please help. I’m lost with this.
Answer:
35 miles
Step-by-step explanation:
You add up all of the miles on the chart to get 35 miles. Have a great day! I hope this helped.
I need help very badly. thanks
Answer:
Step-by-step explanation:
area of a triangle is 1/2* base * height
1/2* 2.6* 3 is the area of the end of the object , now just multiply by it's length
9*( 1/2* 2.6* 3 )
this looks like choice 3 of the choices
2.4x-15=1
3. 2y+3= -11
4.2y+7= -7
5. 3w+3=3
Answer:
2. x=4
3. y= -7
4. y = -7
5. w = 0
Step-by-step explanation:
2.
4x-15=1
4x=16
x=4
3.
2y+3= -11
2y=-14
y= -7
4.
2y+7= -7
2y = -14
y = -7
5.
3w+3=3
3w = 0
w = 0
The perimeter of a square is 80cm
state the length of one of its side
Answer:
20cm
Step-by-step explanation:
a square has 4 equally long sides.
when we know its perimeter, that means we know the sum of all 4 sides.
since all sides are equality long, we only need to divide the perimeter by 4 to get the length of an individual side.
80/4 = 20cm
What are the coordinates of R?
Answer: y,0
Step-by-step explanation:
El resultado de 3^2∙3^2 es:
Answer:
3^2 x 3^2 = 813^2 = 3 x 3 = 9
9 x 9 = 81
Answer:
[tex]3^{2} \times3^{2}[/tex]
[tex]3^{2+2}[/tex][tex]3^{4}[/tex][tex]3x^{4} =81[/tex][tex]Answer: 81[/tex]
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hope it helps...
have a great day!!