Answer:
24.25 years
Step-by-step explanation:
We know that average of a set = (sum of all terms) / (number of terms). Right now, we know two things: the average of the set (21 years) and the number of terms in the set (5). Therefore, we can rewrite the equation to solve for the sum of all terms.
We have: 21 = [tex]\frac{sum}{5}[/tex]
sum = 21 · 5 = 105
Now we know the sum of ages of the 5 girls. We want to find the average age of the 4 remaining girls when we take out the girl who is 8 years old. As previously stated, to find the average of a set, we need to know two things: the sum of all terms in the set and the number of terms in the set. Right now, we only know one of those things: the number of terms in the set, which is 4. To find the sum, we can simply subtract the 8-year-old girl's age from the sum of ages of the 5 girls, which would be 105 - 8 = 97.
Therefore, the average age of the 4 remaining girls is [tex]\frac{97}{4} = 24.25[/tex] years.
Hope this helps!
Answer:
24.25
Step-by-step explanation:
Since the average of 5 girls is 21, there total age is 105 (21*5)
If one of them is 8, 105-8 is 97 and 97/4 (because there is 4 girls left) is 24.25
Hope this helps you!
1: A man owns 50 shares of stock worth $30 each. The corporation declared a dividend of 6% payable in stock. How many shares did he then own?
Answer:
53 shares
Step-by-step explanation:
Calculation for how many SHARES did he then own
Using this formula
Numbers of shares=[ (Dividend percentage payable in stock ×Shares of stock)+Shares of stock]
Let plug in the formula
Numbers of shares= [(.06 x 50 shares)+50 shares]
Numbers of shares= 3 + 50 shares
Numbers of shares = 53 shares
Therefore How many shares did he then own is 53 shares
2-1/3x=1/6x+1
x=?
Merry Christmas
Answer:
x=2
Step-by-step explanation:
Thanks sweetheart <3
Which table does NOT show direct variation?
Answer:
Tables 3. The one in the bottom left corner.
Step-by-step explanation:
The values of table C is not in variation.
What is variation?Two sorts of quantities typically exist in a mathematical equation when a relationship is established for a certain type of parameter. One is a constant that stays the same regardless of how the other variables in the equation vary, and the other is a variable that changes depending on the circumstances. Variation is the term used to describe the changing of variables.
Given tables,
A direct variation is a straightforward relationship between x and y. To find a direct relationship, either use the formula y = kx or divide y over x (y/x).
Relation for table A
y /x = -3/1 = -3
y /x = -9/3 = -3
y /x = -18/6 = -3
y /x = -36/12 = -3
relation is in variation.
Relation for table B
y /x = 3/1 = 3
y /x = 9/3 = 3
y /x = 18/6 = 3
y /x = 36/12 = 3
relation is in variation.
Relation for table C
y /x = 4/1 = 4
y /x = 6/3 = 2
y /x = 9/6 = 3/2
y /x = 15/12 = 5/3
Equation doesn't have a direct relationship between x and y.
Relation for table D
y /x = 2/1 =2
y /x = 6/3 = 2
y /x = 12/6 = 2
y /x = 24/12 = 2
relation is in variation.
Hence the table C is not in variation.
Learn more about variation;
https://brainly.com/question/13977805
#SPJ2
The drawing at the right shows a person,
5 feet tall, casting a shadow 3 feet long.
The tree is casting a shadow 15 feet long.
How tall is the tree?
Answer:
I would say the tree is 18 feet tall
Answer: 25 feet tall
Step-by-step explanation:
First, let's take a look at the person. If they are 5 feet tall and cast a shadow of 3 feet, we can easily convert this into a proportion: 5 feet tall: 3 feet shadow.
Continuing with this method, we can convert the tree into a proportion: x feet tall: 15 feet shadow.
So, 5:3=x:15. Mathematically, think of it as 5/3=x/15.
To find x, you will need to multiply 15 to both sides, or perform cross multiplication. (5/3)(15)=(x/15)(15). This will equal 25. The tree is 25 feet tall.
Will give brainliest... Please I need this answer so badly
Hamburger buns come in packages of 12. Hamburger patties come in packages of 8. Bob would like to buy the smallest number of hamburger buns and hamburger patties so that he will exactly one hamburger patty per bun. How many packages of hamburger buns and hamburger patties must he buy?
PLEASE ANSWER QUICK I WILL GIVE LOTS OF POINTS
Answer:
Neil would buy 4 packages of hamburger patties and 5 packages of hamburger buns. He could make 20 burgers.
Step-by-step explanation:
Please answer quickly, thanks. :) 35 points and if you answer there are more so you can get 250 points
Answer:
11 cars/day
Step-by-step explanation:
What we know:
After two days, Car-Mart has 43 cars left. After 3 days, it is 32. After five, 10 cars.
Saying that, subtract 32 from 43 to get your rate of 11 cars sold a day.
I can further deduce they started with 76 cars. On day 1 they had 65 cars. On day 4 they had 21 cars. They will have sold all of their cars after day 6.
PLEASE HELP I WILL GIVE BRAINLIEST!!
Answer:
The answer to the chart is y=x-1
Plz someone help I beggggg
Answer:
25100 i believe would be the answer
Step-by-step explanation:
Which expression is equivalent to 15x + 3?
15(1x + 1)
5(3x + 1)
3(5x + 1)
2(15x + 3)
Which of the tables represents a function?
Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4
Table A
Table B
Table C
Table D
Answer:
table b i think
Step-by-step explanation:
Consider the polynomial function
g(x) = -x^4 + 2x^3 + 5x^2 – 1.
What is the end behavior of the graph of g ?
Answer: as x > infinity, g(x)> - infinity and as x> - infinity, g(x)> - infinity
Step-by-step explanation:
Left and right ends of the given poynomial function will fall downwards (towards negative infinity).
End behavior of a polynomial: If a polynomial function is f(x) = ax⁴ + bx³ + cx² + dx + eLeading coefficient → a
Degree of the polynomial = 4
If the degree is even and leading coefficient is negative (-), left end and right ends fall downwards.Given in the question,
Poynomial function → g(x) = -x⁴ + 2x³ + 5x² - 1
Degree of the polynomial = 4 (even)
Leading coefficient = -1 (negative)
Therefore, left end of the graph will fall downwards (towards negative infinity) and the right end of the graph will fall downward (towards negative infinity).
Learn more about the end behaviour of a polynomial here,
https://brainly.com/question/12021944?referrer=searchResults
Convert the Following: 5.4 oz=__________ mg
Answer:
153087 mg
Step-by-step explanation:
what reasons can be used to justify statement 4 in the proof above?
Answer:
its b
Step-by-step explanation:
i took da test
Find the x-intercept: 5y-2x=17
x-intercept:
(−17/2, 0)
y-intercept:
(0, 17/5)
PLEASE HELP!!!!!!!!!!!!!!
Answer:
882-28282=9191
Step-by-step explanation:
10. A 1.5 gallon jug needs to be filled with water.
If the jug is filled one pint at a time, how
many pints are needed to fill the jug?
Answer:
12 Pints
Step-by-step explanation:
There are 8 pints (pt) in 1 gallon (gal). This means that 1 pint equals 1/8 gallon.
1.5 x 8
=12
Need HELP
Evaluate the expression
14.3-2x5²÷5
Answer:
4.3
Step-by-step explanation:
14.3 - 2 × 5² ÷ 5
14.3 -2 ×25÷5
14.3 -2 × 5
14.3 - 10
4.3
1 - 3x = 3x + 1 solve for x
Answer: x = 0
Step-by-step explanation:
1 - 3x = 3x + 1
then add 3x on both sides
1 = 6x + 1
then subtract 1 on both sides
0 = 6x
then divide by 6 on both sides
0 = x
so x = 0
Answer:
x would be unknown bc there wouldnt be an answer since
1-3x=3x+1
if we take away 1 forom both sides were left with -3x=3x and it would be 6x if we combined them which can be possible bc it would be nothing = 6x if that makes sense
Step-by-step explanation:
Geometry Question:
Find the value of x that makes N the incenter of the triangle (See attached)
Answer:
.5 or 1/2
Step-by-step explanation:
Y^2x 24^2=25^2
Y=7
7=14x
x=.5
The value of x is 0.5.
The calculation is as follows:Here we use Pythagoras Theorem
[tex]Y^2 - 24^2=25^2[/tex]
Y=7
Now
7 = 14x
So, x=.5
Therefore we can conclude that The value of x is 0.5.
Learn more: brainly.com/question/17429689
The distance y (in centimeters) a spring is compressed by a force x (in kilograms) is given by
y = 0.065x.
Complete a table of values for
x = 20, 40, 60, 80, and 100
to determine the distance the spring is compressed for each of the specified forces.
Answer:
(x, y) = {(20, 1.3), (40, 2.6), (60, 3.9), (80, 5.2), (100, 6.5)}
Graph C represents the table of values
Step-by-step explanation:
To complete the table, substitute each value of x into the equation, [tex] y = 0.065x [/tex], to find each corresponding y-value.
Thus:
✔️When x = 20:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(20) [/tex]
[tex] y = 1.3 [/tex]
✔️When x = 40:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(40) [/tex]
[tex] y = 2.6 [/tex]
✔️When x = 60:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(60) [/tex]
[tex] y = 3.9 [/tex]
✔️When x = 80:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(80) [/tex]
[tex] y = 5.2 [/tex]
✔️When x = 100:
[tex] y = 0.065x [/tex]
[tex] y = 0.065(100) [/tex]
[tex] y = 6.5 [/tex]
✔️The graph of that represents this table of values is graph C. See attachment.
help i need the answer
Answer:
the first one
[tex].5x+10\geq .25x+15[/tex]
Step-by-step explanation:
They want to know how much I will take for the amount they have read to be the same. So that automatically crosses out the last one. They asking you to subtract anything so that crosses the third one out. The second option has the number of pages the both read first switched so that crosses that one out.
I hope this explanation was helpful.
5 + 0.08 + 0.004 in word form plz
Answer:
Five plus eight hundredths plus four thousandths
Answer:
five plus zero point zero eight plus zero point zero zero four equals five point zero eighty four
Step-by-step explanation:
What are the angle measurements in the triangle?
Answer:
c
Step-by-step explanation:
please help I promise it is easy
algebra 1
Answer:
y=1/x-1/5
Step-by-step explanation:
tell me if u have more questions
y=-x+5
is the line so to make it perpendicular
y=1/x-1/5 i gtg
Tanner measured the rate of oil draining from a tank. His measurements showed that the relationship betwđen the height (in inches) of the oil in the tank, h,
and the time in minutes) that the oil was draining, t. could be modeled by the equation h = 8 -0.25t.
According to the model, how long will the oil need to drain for the height to decrease by 1 inch?
0.25 minutes
1 minute
4 minutes
8 minutes
Answer:
8
Step-by-step explanation:
Bella earned $216 in interest after 4 years on a principal of $1,500. What is her interest rate?
Answer:
R = 148.6111%/year
Equation:
r = (1/t)(A/P - 1)
Calculation:
Solving our equation:
r = (1/4)((1500/216) - 1) = 1.48611111
r = 1.48611111
Converting r decimal to R a percentage
R = 1.48611111 * 100 = 148.6111%/year
The interest rate required to get a total amount, principal plus interest, of $1,500.00 from simple interest on a principal of $216.00 over 4 years is 148.6111% per year.
Answer: 3%
Step-by-step explanation:
216 / 1500 = 14.4
14.4/ 48 months = .003
.003 x 100 = 3%
can someone explain
Answer:
K = -2
Step-by-step explanation:
K represents the y-intercept, which is where the line crosses the y axis. We can see from the y = -4x -2, that -2 is the y-intercept, because in y = mx + b, b is the y -intercept.
~theLocoCoco
6th grade math i mark as brainliest
Answer:
214.8 - 19* 4 =
214.8 - 76 =
138.8
therefore your answer is 138.8
Step-by-step explanation:
Answer:
76
Step-by-step explanation:
19 * 4 = 76
As an estimation we are told £3 is €4. Convert £54.20 to euros.
Answer:
$40 in euros!
Step-by-step explanation: