Answer:
39
Step-by-step explanation:
A(n) = 15 + 3(n-1)
A(9) = 15 + 3 *(9 - 1)
= 15 + 3 * 8
= 15 + 24
= 39
Four boys weighed themselves in different pairs and alone. The weights of the pairs were 110 kg, 112 kg, 113 kg, 118 kg, 121 kg, and the weight of one pair was lost. The total weight of the four boys was 230 kg. What was the lost weight?
The lost pair of weight can be found by subtracting the a known pair from
the total weight leaving the value of the lost pair.
The lost weight of a pair of boys is 120 kg
Reasons:
Let a, b, c, and d represent the weights of the four boys, we have;
The number of ways of selecting pairs (two boys) of boys from a group of
four is given using combination formula as follows;
[tex]_nC_r = \dfrac{n!}{r! \cdot (n - r)!}[/tex]
Which gives;
[tex]_4C_2 = \dfrac{4!}{2! \cdot (4 - 2)!} = 6[/tex]
₄C₂ = 6
Therefore, the weights of the pairs are;
a + b = 110
a + c = 112
a + d = 113
b + c = 118
b + d = 121
c + d = Lost weight
c + d = Lost weighta + b + c + d = 230 (given)
Therefore;
The lost weight, c + d = 230 - (a + b)
Which gives;
c + d = 230 - (110) = 120
The lost weight = c + d = 120
The lost weight = 120 kgLearn more here:
https://brainly.com/question/12974932
Answer:
116
Step-by-step explanation:
you can use variables
a+b=110
a+c=112
a+d=113
b+c=118
b+d=121
add up the weights and you get 574 kg (you need to find c+d)
3a+3b+2c+2d=574
a+b+c+d = 230 as given then you multiply by 3 so you can cancel out 3a and 3b and subtract 690-574 because we multiplied by 3
you are left with c+d=116
similar method to the answer previously
can anyone please help me with this I am stuck on this
Answer: 7.2
Step-by-step explanation: u times 0.9 by 15, then separately u times 2.1 by 3. then u take both numbers and subtract.
Answer:
Step-by-step explanation:
0.9d - 2.1f = 0.9*15 - 2.1*3
= 13.5 - 6.3
= 7.2
What is the range of the graphed function?
O [x1-2
O [yI-2
O {x | x is a real number}
O [vl y is a real number}
Answer:
first one my sister tried itStep-by-step explanation:
Campbell food distribution pays frank bell a $1290 monthly salary plus a 11% commission on merchandise he sells each month. assume franks sales were $31,600 for last month.
Calculate the following amounts:
1. Amount of commission:
2. Gross pay:
Answer:
1. Amount of commission =$3476
2.Gross pay = $4766
Step-by-step explanation:
commission =(11/100)×31,600
=$3476
Gross pay = 3476+1290
=$4766
HI GUYS COULD SOMEONE PLEASE HELP ME???
I REALLY NEED HELP ILLL GIVE BRAINLIEST
I JUST REALLY NEED TO FINISH
Answer:
57.43
Step-by-step explanation:
I hope this.helps
The length of a rectangle is 5 ft longer than its width.
If the perimeter of the rectangle is 70 ft, find its length and width.
Answer:
Length 20
Width 15
Step-by-step explanation:
Right in equation for the line with a slope of -2 and a y-intercept of 1
Answer:
Step-by-step explanation:
Use the slope intercept formula.
y = mx + b
m = slope
b = y intercept
y = -2x + 1
Bob's car can go
111 miles on tank
of gas. How far can it
go on a full tank?
PLEASE HURRY
Answer:
296 miles
Step-by-step explanation:
Use a proportion:
111/( 3/8) = x/ 1
Cross Multiply
(3/8)x = 111
Multiply both sides by 8/3 ; reciprocal
x = (8/3) (111)
x = 296 miles
help plz 25 pts due i five mins
Answer:
B) <
Step-by-step explanation:
Since both numbers are being multiplied by 10^-5, we can completely cut that part out of the inequality and instead just compare the values 3.2 and 4.6. It is obvious when looking at the problem that 3.2 is smaller than 4.6, so we will use the less than symbol <.
Hopefully that's helpful! Good luck on your quiz. :)
If the nth term of a number sequence is 5n – 2n, find the first 3 terms and the 10th term.
Answer:
0,3,6, and 30
Step-by-step explanation:
10% out of 100 in simplest form
Whats this, smallest to largest?
0.1
0.11
0.01
0.101
Answer:
0.01, 0.1, 0.101, 0.11
Step-by-step explanation:
If x = −3, which number line shows the value of |x|? (5 points)
Question 11 options:
1)
2)
3)
4)
Which inequality describes the points shown on this number line?
Answer:
B
Step-by-step explanation:
the answer is 4 <x or x is equal to smaller than q0
What is the following sum?
Please help with these questions
Answer:
A. 8 to 2
b. 2 to 4
c. 6 and 4 or 3 and 5
d. 3and 6
e. 1 and 8
Step-by-step explanation:
solve for x, 500 = 50*(1.23)^x
this is for an exponential functions task where 500 represents an animal population, 1.23 is the growth rate and 50 in the initial population.
x represents the periods in years
Answer:
Step-by-step explanation:
[tex]x^n=p\\x=\frac{\log(p)}{\log(n)}[/tex]
[tex]500=50*1.23^x\\10=1.23^x\\\frac{\log(10)}{\log(1.23)}= 11.12283811[/tex]
Can someone help me with this I’m not getting it
Answer:
n = 3.5
Step-by-step explanation:
basically it's saying that 2.8 is proportional to 4.8 as n is proportional to 6. therefore:
2.8/4.8 = n/6
0.583 = n/6
3.5 = n
if i roll a dice 120 times how many times am I gonna get 4
Answer:
20 out of 120 times
Step-by-step explanation:
As others have said, the general formula is:
expected successes = probability*number of trials
Perhaps an easier question: If you roll a die 6 times, how many 4s would you expect to get?
1, right? 1 out of every 6. That’s what 1/6 means.
If you roll a die 12 times, you expect 2. 2/12 = 1/6
__% of 15 is 6 hellp mee
Answer:
40%
Step-by-step explanation:
6 divided by 15 times 100 = 40
Answer:
40
(40%)
Step-by-step explanation:
6 / 15 = 0.4
0.4 * 100 = 40%
We can check this by doing 40% times 15;
15 * 0.4 = 6 ✓
It checks :D
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Part B: If (5^0)x = 1, what are the possible values of x? Explain your answer.
[tex]x = 1[/tex]
hope it helps
For this case we have the following expression:
(5⁰) = 1
By definition of power properties we have to:
(an)m = ɑn*n
Then, rewriting the expression:
5º = 1
Thus, the variable "x" can take any value:
Answer:
The variable "x" can take any value
Help help help help help help
We can find out if the angles are the same by adding them
180 = 6x + 4x + 10 + 10x + 70
180 = 20x + 80
100 = 20x
x = 5
6x = 30
4x + 10 = 30
10x + 70 = 120
From this information, we can conclude that this is an obtuse triangle (iv.) and that this is and isosceles (ii.).
The answer is ii. and iv. which is B
Can someone help me find the angles of R, S, and U? ive already solved the other ones
What is the slope of (1,3/4) and (4,-3)
Answer:
=-0.75
Step-by-step explanation:
S=y2_y1/x2_x1
Where x1=1
Y1=3/4
X2=4
Y2=-3
Which of the following expressions has the greatest value?
Answer:
[tex](0.1)^2[/tex]
Step-by-step explanation:
The top number known as an exponent tells you to multiply the number by its self that many times so the other number will get very small.
Hey there!
Option A.
0.01^4
= 0.01 * 0.01 * 0.01 * 0.01
= 0.0001 * 0.0001
= 0
Option B.
0.1^4
= 0.1 * 0.1 * 0.1 * 0.1
= 0.01 * 0.01
= 0.0001
Option C.
0.01^3
= 0.01 * 0.01 * 0.01
= 0.001 * 0.01
= 0.00001
Option D.
0.1^2
= 0.1 * 0.1
= 0.01
“ 0.01 > 0.0001 > 0.00001 > 0”
Therefore, your answer should be: 0.1^2 (option D)
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
can yall help me out
Answer:
0.8
Step-by-step explanation:
Answer:
-4/5
Step-by-step explanation:
[tex]\frac{1}{10}+-\frac{9}{10}=-\frac{8}{10}=-\frac{4}{5}[/tex]
Solve the equation.
2/3-4x+7/2 = -9x5/6
If necessary:
Combine Terms
Apply properties:
Add
Subtract
Multiply
Divide
To start over:
Reset
Answer:
x = - 25/21
Step-by-step explanation:
In pic
(Hope this helps can I pls have brainlist (crown)☺️)
The solution to the equation 2/3 - 4x + 7/2 = -9x * 5/6 is x = 25/21.
To solve the equation: 2/3 - 4x + 7/2 = -9x * 5/6
Let's first combine like terms on the left side:
2/3 + 7/2 - 4x = -9x * 5/6
To add the fractions, we need a common denominator:
The common denominator for 3 and 2 is 6. So, we rewrite 2/3 as 4/6:
4/6 + 7/2 - 4x = -9x * 5/6
Now, we can add the fractions:
(4/6) + (7/2) = (8/12) + (42/12) = 50/12 = 25/6
The equation becomes:
25/6 - 4x = -9x * 5/6
Now, let's simplify further:
25/6 - 4x = -45x/6
To eliminate the fractions, we can multiply both sides by 6:
6 * (25/6 - 4x) = 6 * (-45x/6)
This simplifies to:
25 - 24x = -45x
Next, let's gather the x terms on one side of the equation:
-24x + 45x = 25
Combining the x terms:
21x = 25
Finally, solve for x by dividing both sides by 21:
x = 25/21
Therefore, the solution to the equation is x = 25/21.
To know more about solution, refer here:
https://brainly.com/question/16235478
#SPJ2
{4z=8}
{3x-2z=11}
{x-4y+z=11}
Step-by-step explanation:
4z = 8
z = 8/4
z = 2
3x - 2z = 11
3x - 2.2 = 11
3x - 4 = 11
3x = 11 + 4
3x = 15
x = 15/3
x = 5
x - 4y + z = 11
5 - 4y + 2 = 11
-4y = 11 - 5 - 2
-4y = 4
y = 4/-4
y = -1
Solution → {x,y,z} = {5,-1,2}
help me pls with math
Answer:
d
Step-by-step explanation:
The lengths of the sides of a triangle are square root 139, square root 73, and 6. Classify the trianglo as “acute", "right", or "obtuso".
Choose the correct type of triangle below.
O acute
obtuse
Oright
Answer:
It's obtuse.
Step-by-step explanation:
Mumble. Smells al-kashi laws of cosine to me.
[tex]a^2-b^2-c^2 = -2bc cos\alpha\\b^2-c^2-a^2=-2ca cos \beta\\c^2-a^2-b^2=-ab cos \gamma[/tex]
Now, we don't need to calculate the RHSs, and then:
If at least one of the three LHSs is greater than zero, the triangle is obtuse
If at least one is zero, it's a right triangle (pythagorean theorem anyone?)
if all three numbers are less than zero, the triangle is acute
Start crunching numbers.
[tex]139-73-36 = 30[/tex] First try was the charm. finding 30 means that the product [tex][-2(\sqrt{73})(6) ]cos \alpha[/tex] is positive, and since the product in the large bracket is negative, the cosine has to be 0, thus the angle has to be greater than 90°, QED
