Work Shown:
x = the unknown number
The mean of 8 and the unknown number is 13. This indicates we add up 8 and x, then divide by 2, and we'll get 13.
(8+x)/2 = 13
8+x = 2*13 .... multiply both sides by 2
8+x = 26
x = 26-8 .... subtract 8 from both sides
x = 18
As a check,
(8+18)/2 = 26/2 = 13
This shows the mean of {8,18} is 13.
The second number is 18.
Given to us,
First number, [tex]N_f = 8[/tex],
Mean of two numbers, [tex]m = 13[/tex]
Let us assume second number as x,
Also, we know mean is the arithmetic average of given numbers.
[tex]Mean =\dfrac{Sum\ of\ all\ the\ data\ given}{Numbere\ of\ data\ given}[/tex]
[tex]m=\dfrac{8+x}{2}\\\\13=\dfrac{8+x}{2}\\\\13\times 2 = 8+x\\8+x=26\\x=26-8\\x=18[/tex]
Hence, the second number is 18.
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https://brainly.com/question/16967035
Find the exact solution to the equation 10-log8(x+2)=9
Answer:
-0.89269063 ...
Step-by-step explanation:
Put it in the calculator
For the function f(x) =
= X + 5, what is the ordered pair for the point on the graph
when x = 4?
Answer:
F=9
Step-by-step explanation:
Kiemanh is solving the equation 15 r minus 6 r = 36. What is the value of r? 2 4 15 27
Answer:
the actual answer is B.) 4
Step-by-step explanation:
just took the topic test
Answer:
B
Step-by-step explanation:
DUE TODAY PLEASE HELP!
I need help with both of these. What is x and what is the angle relationship converse used?
Answer: 12. X = 14
Step-by-step explanation:
10x + 17 = 87 + 5x
10x = 70 + 5x
5x = 70
X = 14
At a basketball game, 3 out of every 10 people who enter the gym will be wearing hats. If 250 people attend the game, about how many of them will probably be wearing hats?
Answer:75
Step-by-step explanation:
A missile is launched along a path determined by the function below, where f(x) is the height of the missile in feet x seconds after the launch.
A plane is flying nearby at a height of 650 feet.
Is the plane in danger of being hit by the missile?
Why or why not?
f(x)=-2x^2+72x
Answer:
The plane will be fine.
Step-by-step explanation:
[tex]f(x) =-2x^{2}+72x\\650=-2x^{2}+72x\\2x^{2}-72x+650=0\\[/tex]
There are no real solutions.
Albert’s father is 24 years older than Albert. In 8 years, his father will be twice as old as Albert. How old is Albert now? How old is his father?
Answer:
Albert is 24. Albert's father is 48
Step-by-step explanation:
-4(-5x+6) in distributive property
Answer:
20x - 24
Step-by-step explanation:
-4(-5x + 6)
20x - 24
Calculators cost $12.99 each, rulers cost $0.49 each, pencils cost $0.10 each, and erasers
cost $0.05 each. How much would Mrs. Algebra's single order be? Use the expression below
to calculate the total.
Given :
Calculators cost $12.99 each, rulers cost $0.49 each, pencils cost $0.10 each, and erasers cost $0.05 each.
To Find :
How much would Mrs. Algebra's single order be.
Solution :
Total price paid by Mrs. Algebra = Price of pencil + price of ruler + price of calculator + price of eraser.
T = $(0.10 + 0.49 + 12.99 + 0.05)
T = $13.63
Therefore, Mrs. Algebra's single order cost is $13.63 .
Hence, this is the required solution.
identify 2 pairs of angles of the given type.
plsss HELP!!!!!!
Answer:
It is (2,4) Plz mark brainliest
Step-by-step explanation:
Uninhibited growth can be modeled by exponential functions other than A(t) =Upper A 0 e Superscript kt. For example, if an initial population Upper P 0 requires n units of time to triple, then the function P(t)equals Upper P 0 (3 )Superscript StartFraction t Over n EndFraction models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.
The question is incomplete. Here is the complete question.
Uninhibited growth can be modeled by exponential functions other than [tex]A(t)=A_{0}e^{kt}[/tex]. for example, if an initial population P₀ requires n units of time to triple, then the function [tex]P(t)=P_{0}(3)^{\frac{t}{n} }[/tex] models the size of the population at time t. An insect population grows exponentially. Complete the parts a through d below.
a) If the population triples in 30 days, and 50 insects are present initially, write an exponential function of the form [tex]P(t)=P_{0}(3)^{\frac{t}{n} }[/tex] that models the population.
b) What will the population be in 47 days?
c) When wil the population reach 750?
d) Express the model from part (a) in the form [tex]A(t)=A_{0}e^{kt}[/tex].
Answer: a) [tex]P(t)=50(3)^{\frac{t}{30} }[/tex]
b) P(t) = 280 insects
c) t = 74 days
d) [tex]A(t)=50e^{0.037t}[/tex]
Step-by-step explanation:
a) n is time necessary to triple the population of insects, i.e., n = 30 and P₀ = 50. So, Exponential equation for growth is
[tex]P(t)=50(3)^{\frac{t}{30} }[/tex]
b) In t = 47 days:
[tex]P(t)=50(3)^{\frac{t}{30} }[/tex]
[tex]P(47)=50(3)^{\frac{47}{30} }[/tex]
[tex]P(47)=50(3)^{1.567}[/tex]
P(47) = 280
In 47 days, population of insects will be 280
c) P(t) = 750
[tex]750=50(3)^{\frac{t}{30} }[/tex]
[tex]\frac{750}{50}=(3)^{\frac{t}{30} }[/tex]
[tex](3)^{\frac{t}{n} }=15[/tex]
Using the property Power Rule of logarithm:
[tex]log(3)^{\frac{t}{30} }=log15[/tex]
[tex]\frac{t}{30}log(3)=log15[/tex]
[tex]t=\frac{log15}{log3} .30[/tex]
t = 74
To reach a population of 750 insects, it will take 74 days
d) To express the population growth into the described form, determine the constant k, using the following:
A(t) = 3A₀ and t = 30
[tex]A(t)=A_{0}e^{kt}[/tex]
[tex]3A_{0}=A_{0}e^{30k}[/tex]
[tex]3=e^{30k}[/tex]
Use Power Rule again:
[tex]ln3=ln(e^{30k})[/tex]
[tex]ln3=30k[/tex]
[tex]k=\frac{ln3}{30}[/tex]
k = 0.037
Equation for exponential growth will be:
[tex]A(t)=50e^{0.037t}[/tex]
1What is the simple interest on #25 000 for 3years at 5% per annum?.
#28 750
#3 750
#2 875
#375
Answer:
3750
Step-by-step explanation:
Simple interest (I) is calculated as
I = [tex]\frac{PRT}{100}[/tex] ( P is the principal, R is rate of interest and T time in years )
Here P = 25000, R = 5 and T = 3 , thus
I = [tex]\frac{25000(5)(3)}{100}[/tex]
= [tex]\frac{375000}{100}[/tex]
= 3750
only simplify, don’t solve please. thank you!
Answer:
4x
Step-by-step explanation:
the -8 and +8 cancel out
x and 3x are both positive so add them
you're left with 4x
Simplifying is the same as solving this question. I'll give steps instead.
x - 8 + 3x + 8
x + 3x - 8 + 8 (Arrange the equation)
(x + 3x) (- 8 + 8) (Parentheses the like terms together)
(4x) (0) (Solve)
4x (Simplified)
Cheers!
0.847 times 3.54
What does it equal
Answer: 2.99838 or rounding to nearest whole number it is 3
Step-by-step explanation:
What would happen to the particles in liquid if you decrease the temperature?
A) The particles would speed up
B) The particles would slow down
C) The particles would slow down and then speed up really fast
D) The particles would turn into a gas
Answer:
would slow down
I am nt sure
1) 30% of the 210 7th graders at CBJ said they were planning to leave town for
Spring Break. How many students are NOT planning on leaving town? *
Answer:
30% of 210 is 63
Step-by-step explanation:
Answer:
209.7
Step-by-step explanation: i dont know what ur really asking for which i understand all u have to do simplify the expressions
Which properties were used to prove that the expressions 7 x + 4 minus x minus 2 and 6 x + 2 are equivalent?
7 x + 4 minus x minus 2. 7 x minus x + 4 minus 2. (7 minus 1) x + 4 minus 2. 6 x + 2.
A.commutative, distributive, and addition
B.commutative, associative, and addition
C.associative, distributive, and addition
D.distributive, associative, and commutative
у=х+ 1
2x+3y= 5
HELP ME
Answer:
x=2/5
Step-by-step explanation:
2x+3(x+1)=5
2X+3X+3=5
5x+3=5
5x=2
x=2/5
for the straight line x=2y-3, what are the slope and the y-intercept
Answer:
slope = 2
y-intercept = (0,-3)
Answer: Rearrange the equation to get m= 1/2, b= 3/2
Step-by-step explanation:
Write in expanded form the 3-digit number that has 5 tens, m units, and 2 more hundreds than units.
Step-by-step explanation:
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard Form
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard FormExpanded Form
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard FormExpanded Form20,37,81,405
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard FormExpanded Form20,37,81,405=
We know that the number written as sum of the place-values of its digits is called the expanded form of a number.Standard FormExpanded Form20,37,81,405=20,00,00,000 + 0 + 30,00,000 + 7,00,000 + 80,000 + 1,000 + 400 + 0 + 5
Answer:
2x100+mx100+5x10+mx1
Step-by-step explanation:
This is correct. TRUST ME!! pls if wrong.
Justin has a crate that is 8 feet long 2 feet wide and 3 feet tall decide weather each of the crate sizes described below has the same volume as Justin's crate
Complete question is;
Justin has a crate that is 8 feet long, 2 feet wide, and 3 feet tall. Decide whether each of the crate sizes described below has the same volume as Justin’s crate.
a. 9 feet long, 1 foot wide, 4 feet tall
b. 8 feet long, 2 feet wide, 2 feet tall
c. 4 feet long, 4 feet wide, 3 feet tall
d. 8 feet long, 3 feet wide, 3 feet tall
e. 6 feet long, 2 feet wide, 4 feet tall Answer:
Options C & E have the same volume as Justin's crate.
Step-by-step explanation:
We are told Justin has a crate that is 8 feet long, 2 feet wide, and 3 feet tall.
Thus, original volume is;
V_o = 8 × 2 × 3 = 48 ft³
A) For a dimension of 9 feet long, 1 foot wide, 4 feet tall , volume is;
V_a = 9 × 1 × 4 = 36 ft³
B) For a dimension of 8 feet long, 2 feet wide, 2 feet tall, volume is;
V_b = 8 × 2 × 2 = 32 ft³
C) For a dimension of 4 feet long, 4 feet wide, 3 feet tall, volume is;
V_c = 4 × 4 × 3 = 48 ft³
D) For a dimension of 8 feet long, 3 feet wide, 3 feet tall, volume is;
V_d = 8 × 3 × 3 = 72 ft³
E) For a dimension of 6 feet long, 2 feet wide, 4 feet tall, volume is;
V_e = 6 × 2 × 4 = 48 ft³
Looking at all the options, the only ones that given a volume equal to Justin's original volume are options C & E.
What will be the answer for x?
Answer:
x=8
Step-by-step explanation:
5x+6+134=180
5x=40
x=8
Josh went to a local barber to get his haircut. It cost $18 for the haircut. Josh tipped the barber 15%. What was the total cost of the haircut including tip?
$20.70
Step-by-step explanation:
15% of 18 is 2.7 so 18 + 2.7 = 20.70
Will give brainliest if correct.
Answer:
Step-by-step explanation:
hi
If k(x) = 2x² -3.Vx, then k(9) is
Answer:
159
Step-by-step explanation:
k (9) = (2 * [tex]9^{2}[/tex]) - 3
= (2 * 81) - 3
= 162 - 3
= 159
Sarah has $400 in a savings account at the beginning of the summer. She wants to have at least $100 in the account by the end of the summer. She withdraws $20 each week for fun. How many weeks can Sarah withdraw money from her account?
Answer:
15
Step-by-step explanation:
400 - 100 = 300
300 ÷ 20 = 15
Estimate the amount of the tip by rounding the bill to the nearest 10 dollars before calculating
15% tip on a bill of $483.82
the amount of the tip is approximately $_.
Answer:
My estimate is 73
Step-by-step explanation:
15% ?
____ ______
100 483.82
Steps:
1.First multiply 15 and (483.82).You should get (7257.3).
2.Next you have to divide 7257.3 and 100 which gets you 72.573.
3.Estimate:Round 72.573
73
Hopes this helps!!
$132.75 discounted 40%
Answer:
$79.65
Step-by-step explanation:
Answer:
$79.65
Step-by-step explanation:
Discount: $53.10
Final Price: $79.65
helllllpppppppp plzpzlzpzlz
Answer:
b
Step-by-step explanation:
my teacher went over the same on with me
HELP ASAP!!
Adam sold 6 of wrapping paper and 9 wrapping paper for a total of $219. Jane sold 12 wrapping paper and 13 rolls of SHINY wrapping paper for a total of $353. Find the cost each of one roll of PLAIN wrapping paper and one roll of SHINY wrapping paper .
Answer:
The answer is $14.6 for the plain paper and $14.12
Step-by-step explanation:
I think i'm probably wrong but 6+9= 15 so 219 divided by 15 is 14.6 so thats answer 1 and 12+13=25 and 353 divided by 25 is 14.12
:p sorry if im incorrect
Answer: The first answer for 6 of wrapping paper and 9 wrapping paper is $7.30. The second answer for 12 wrapping paper and 13 rolls of SHINY wrapping paper is $4.38.
Step-by-step explanation: