Step-by-step explanation:
x1, x2, x3, x4, x5
(x1 + x2 + x3 + x4 + x5)/5 = 4
x5 - x1 = 6
x3 = 3
2 appears more often than any other number (at least twice), otherwise there would have been multiple modes.
x1 + x2 + x3 + x4 + x5 = 4×5 = 20
x3 = 3
x1 + x2 + 3 + x4 + x5 = 20
x1 + x2 + x4 + x5 = 17
x5 = x1 + 6
x1 + x2 + x4 + x1 + 6 = 17
2×x1 + x2 + x4 = 11
since we did not have the number 2 yet (and we made x5 the harvest number, which has to be larger than 2), and it has to appear at least twice.
so, two numbers out of x1, x2, x3 must be 2. not all three of them can be 2, because 2×2 + 2 + 2 = 8 and not 11 as the last equation demands.
we have therefore 2 different solutions, as either
x1 and x2, or x2 and x4 can be 2.
x1 and x4 is the same solution per the last equation as x1 and x2 (as the variables are interchangeable for the number assignment, only x1 is different, because it has an additional factor in the last equation).
solution 1 (x1 and x2 are 2) :
2×2 + 2 + x4 = 11
4 + 2 + x4 = 11
6 + x4 = 11
x4 = 5
so,
x1 = 2,
x2 = 2,
x3 = 3
x4 = 5
x5 = x1 + 6 = 2 + 6 = 8
solution 2 (x2 and x4 are 2) :
2×x1 + 2 + 2 = 11
2×x1 + 4 = 11
2×x1 = 7
x1 = 7/2
so,
x1 = 7/2
x2 = 2
x3 = 3
x4 = 2
x5 = x1 + 6 = 7/2 + 12/2 = 19/2
2^x+2=4081
Solve the following exponential equation
The sum of two numbers is 48. One numner is 3 times the other. Find the numbers.
Answer:
16 and 3?
Step-by-step explanation:
48÷3=16
hope this helps
Answer:
12 & 36
Step-by-step explanation:
According to the statement:
[tex]x+y=48[/tex]
[tex]x=3y[/tex]
Replace x= 3y:
[tex]3y+y=48[/tex]
[tex]4y=48[/tex]
[tex]y=48/4=12[/tex]
Then:
[tex]x=3y=3(12)=36[/tex]
Hope this helps
.........................
Answer:
[tex]2[/tex]
Step-by-step explanation:
Let [tex][n][/tex] denote the area of some polygon [tex]n[/tex].
The sum of the area of quadrilaterals BCDE and MNDE is equal to [tex][ABC]-([MBE]+[NDC]+AMN])[/tex] (big triangle subtracting the three smaller triangles that aren't part of BCDE or MNDE).
Let the area of triangle ABC be [tex]\alpha[/tex].
Triangle AMN is similar to triangle ABC. Because their side lengths are in ratio 1:2 respectively, the ratio of the area of triangle AMN to triangle ABC is [tex]1:2^2=1:4[/tex].
Therefore, [tex]\displaystyle [AMN]=\frac{1}{4}[ABC]=\frac{1}{4}\alpha[/tex].
Now for triangle NDC, NDC is similar to triangle AMC. Since M is the midpoint of AB, AMC is half the area of ABC. The ratio of the side lengths between triangle NDC and triangle AMC is [tex]1:2[/tex] because the D is the midpoint of MC, so it follows the ratio of their areas must be [tex]1:4[/tex], respectively.
Therefore, [tex]\displaystyle[NDC]=\frac{1}{4}[AMC]=\frac{1}{8}[ABC]=\frac{1}{8}\alpha[/tex].
We can use the same concept for triangle MEB. Triangle MEB is similar to triangle ANB, and the ratio of their sides is also [tex]1:2[/tex], since E is the midpoint of BN. Their areas are in the ratio [tex]1:2^2=1:4[/tex] and we have [tex]\displaystyle [MBE]=\frac{1}{4}[ANB]=\frac{1}{8}\alpha[/tex].
Thus,
[tex]\displaystyle \frac{[ABC]}{[BCDE]+[MNDE]}=\frac{\alpha}{\alpha-\frac{1}{4}\alpha-\frac{1}{8}\alpha-\frac{1}{8}\alpha}=\frac{\alpha}{0.5\alpha}=\frac{1}{\frac{1}{2}}=\boxed{2}[/tex]
In fast will give brainly
= 1 × ⅔ × 5/3
= ⅔ × 5/3
= 10/9
= 1 1/9 ft³ (D.)
-4= 6 + b I need help in this question
Find the product.
-8x5y2 · 6x2y
-8x10y2
-8x7y3
-48x7y3
-48x10y2
Find the product.
(3a4 + 4)2
6a4 + 8
9a8 + 16
9a8 + 24a4 + 16
9a16 + 24a4 + 16
Answer:
4 better explanation inbox
Step-by-step explanation:
A cable company charges $99 for installation plus $40 per month. If you paid $459 over a period of time, How many monthes did you use that cable company?
Answer:
9 months
Step-by-step explanation:
99 + 40 + 40 + 40 + 40 + 40 + 40 + 40 + 40 + 40 = $459
We can see that the number of 40's has been repeated 9 times. So therefore, 9 months is our answer.
Simplify the expression.
6(12 – 3) + 4 + (3 × 2)
64
96
144
208
Answer:
64
Step-by-step explanation:
6(12-3) + 4 + (3×2)
6(9) + 4 + 6
54 + 4 + 6
= 64
X is the random number of times a coin with heads probability 1/4 is tossed till the first heads appears, find: g
Please help asap! Solve for x and y
Answer:
Step-by-step explanation:
You are working with a square. All 4 sides are equal
2x+ 1 = 4x - 7 Subtract 2x from both sides
1 = 4x - 2x - 7 Combine
1 = 2x - 7 Add 7 to both sides
1 + 7 = 2x Combine
2x = 8 Divide by 2
2x/2 =8/2
x = 4
The diagonals of a square bisect the 90 degree angle.
7y + 3 = 45 Subtract 3 from both sides
7y = 45 - 3 Combine
7y = 42 Divide by 7
y = 42/7
y = 6
9.
Identify the point corresponding to Q.
A. Q′ (−3, −2)
B. Q′ (−2, −1)
C. Q′ (1, −1)
D. Q′ (−3, 2)
Answer:
B. Q′ (−2, −1)
Step-by-step explanation:
I looked at the graph, this is as close as I could get to my answer. I'm so sorry if it is wrong.
There are 25 students in a class, and 6 of them will be chosen to go on a field
trip. How many ways can these students be chosen?
Answer:
just figure it out or just search it somewhere on the brainly app for the answer :)
Which of the following does not describe slope?
Answer:B is correct.
Step-by-step explanation:
Slope is a rate of change, so A is correct. Slope can be found on a graph by counting the vertical change (rise) over the horizontal change (run);
You buy a $266,000 home with a down payment of 21%. Find the amount of the down payment and the mortgage amount.
down payment
$
mortgage
$
Answer:
down is #0.21 while mortage is
Evaluate the expression
-4-4i /6i and write the result in the form a + bi.
Answer:
-(2/3) + (2/3)i
Step-by-step explanation:
( -4 - 4i) / 6i
multply by i/i
(-4i - 4i^2) / 6i^2
since i^2 = -1
(-4i + 4) / -6
(4 - 4i) / -6
Reduce fraction
-(2/3) + (2/3)i
What is the equation of the line shown in this graph?
Answer:
y = 1
Step-by-step explanation:
if 1/2x + 6 = -x -3, what is the value of -2x?
Answer:
12
Step-by-step explanation:
Hi there!
We are given the following equation:
1/2x + 6 = -x-3
And we want to find the value of -2x
First, let's solve for x, and then substitute the number found as x into -2x to find the value of -2x
Start by adding x to both sides to remove -x from the right side
1/2x + 6 = -x -3
+x +x
_______________
3/2x+6=-3
Subtract 6 from both sides to remove it from the left side
3/2x=-9
Multiply both sides by 2/3 in order to clear the fraction
x=-6
Now substitute -6 as x into -2x
-2x
x=-6
-2(-6)=12
Hope this helps!
Which methods of evaluating a capital investment project ignore the time value of money?
Answer: Varies
Step-by-step explanation:
It involves any that is not concerned with making a profit.
Is the ordered list 26, 39, 52, 65, 78 an arithmetic sequence?
Answer:
Yes
Step-by-step explanation:
It is an arithmetic sequence since it has a common difference which is 13.
78-65 = 13
65-52 = 13
52-39 = 13
39-26 = 13
The table shows a proportional relationship between x and y what is the unit rate of y per x ( 4, 5 , 6 , 7 ) (8 , 10 , 12 , 14 ) ?
Answer:
6
Step-by-step explanation:
The sum of the speed of two trains is 725.6miles per hour. If the speed of the first train is 6.4 mph faster than that of the second train find the speeds of each
Step-by-step explanation:
change it in meter and solve it
If an amount of $25,000 is deposited into a saving account at an interest rate 4%, compounded semi-annually, how long will it take to accumulate on this account $28,500? The function describing your balance is M(n) =25,000(1+0.04/2)^2n, where n is time in years. Round up your answer to the next period.
It will take 3 years and 4 months to accumulate $ 28,500.
To determine, if an amount of $ 25,000 is deposited into a saving account at an interest rate 4%, compounded semi-annually, how long will it take to accumulate on this account $ 28,500, the following calculation must be performed:
25,000 x (1 + 0.04 / 2) ^ (2X) = 28500 25000 x 1.02 ^ 2X = 28500 1.02 ^ 2X = 28500/25000 1.02 ^ 2X = 1.14 1.02 ^ 6.62 = 1.14 6.62 / 2 = X 3.33 = X
Therefore, it will take 3 years and 4 months to accumulate $ 28,500.
Learn more in https://brainly.com/question/23251895
A 60 cm bamboo is divided in the ratio 4: 2 . What is the length of the longer piece?
Answer:
40
Step-by-step explanation:
Sara earns $12.75 per hour at her job. She works 18 hours each week. While at work, she parks her car in a garage that charges $10.50 every 3 hours.
After paying for parking, how much does Sara earn each week?
A.$198.00
B.$229.50
C.$166.50
D.$261.00
9514 1404 393
Answer:
C. $166.50
Step-by-step explanation:
The rate Sara pays for parking is ...
$10.50/(3 hours) = $3.50 /hour
So, Sara's net pay, after paying for parking, is ...
$12.75/hour - 3.50/hour = $9.25 /hour
If she works 18 hours per week, her net earnings are ...
(18 h)($9.25/h) = $166.50 . . . . weekly earnings
PLZ HHHHHELP POINTSSS HERE
Answer:31
Step-by-step explanation:
Because
If u add 31+31=62
And 62+118=180
Brainliest please
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability of a rating that is between 200 and 275. Round to four decimal places. A. 0.4332 B. 0.0668 C. 0.5000 D. 0.9332
odd numbers between 20 and 46 that are mutiples of 3
Answer:
h
Step-by-step explanation:
h
Answer:
they should be 21 27 33 39 45
Step-by-step explanation:
:)
Robert has 4 times as many pennies as he does nickels. If Robert has $1.44 worth of pennies and nickels, how many nickels does he have?
9514 1404 393
Answer:
16 nickels
Step-by-step explanation:
Robert can group his coins into groups consisting of 1 nickel and 4 pennies. The value of each group is 9¢, so the number of groups Robert can make is ...
$1.44/$0.09 = 16 . . . groups
Since there is 1 nickel in each group, Robert has 16 nickels.
Answer:
16
Step-by-step explanation:
Solve for r.
17r–13r=20
r=
Answer:
Step-by-step explanation:
Solve for r.
17r–13r=20
4r = 20
r = 20 : 4
r = 5
Dependent Task:
Directions: Write the place value and the value of the underlined digit.
Number PLACE OF VALUE VALUE
1. 0.345 _____________ _____
2. 0.3469 _____________ _____
3. 0.6ó54 _____________ ______
(UNDERLINED DIGIT)
1. 5
2.3
3.4
please
Answer
Use your mind
Nobody wants to help you, especially since you are no help to others.