Answers
Step-by-step explanation:
[tex](ii)\\24y=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot3\cdot\boxed{y}\\16xy=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot2\cdot\boxed{y}\\\\GCF(24x;\ 16xy)=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot\boxed{y}=8y[/tex]
[tex](iii)\\14p^2=2\cdot\boxed{7}\cdot\boxed{p}\cdot p\\\\7pq=\boxed{7}\cdot\boxed{p}\cdot q\\\\28p=\boxed{7}\cdot2\cdot2\cdot\boxed{p}\\\\GCF(14p^2;\ 7pq;\ 28p)=\boxed{7}\cdot\boxed{p}=7p[/tex]
[tex](v)\\6a^3b^2c=\boxed{2}\cdot\boxed{3}\cdot\boxed{a}\cdot a\cdot a\cdot\boxed{b}\cdot b\cdot\boxed{c}\\\\24ab^3c^4=\boxed{2}\cdot2\cdot2\cdot\boxed{3}\cdot\boxed{a}\cdot\boxed{b}\cdot b\cdot b\cdot\boxed{c}\cdot c\cdot c\cdot c\\\\12abc=\boxed{2}\cdot 2\cdot\boxed{3}\cdot\boxed{a}\cdot\boxed{b}\cdot\boxed{c}\\\\GCF(6a^3b^2c;24ab^3c^4;\ 12abc)=\boxed{2}\cdot\boxed{3}\cdot\boxed{a}\cdot\boxed{b}\cdot\boxed{c}=6abc[/tex]
[tex](vi)\\16x^3=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot2\cdot\boxed{x}\cdot\boxed{x}\cdot x\\\\-40x^2=-\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot5\cdot\boxed{x}\cdot\boxed{x}\\\\32x^4=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot2\cdot2\cdot\boxed{x}\cdot\boxed{x}\cdot x\cdot x\\\\GCF(16x^3;\ -40x^2;\ 32x^4)=\boxed{2}\cdot\boxed{2}\cdot\boxed{2}\cdot\boxed{x}\cdot\boxed{x}=8x^2[/tex]
Related Questions
Traveling upstream (against the current) in a boat, you can travel 35 miles in 7 hours. It
takes half the time (3.5 hours) to travel the same distance downstream (with the
current). Find the speed of the current.
Answers
Answer:
The speed of the current is 2.5 miles per hour
Step-by-step explanation:
Systems of Equations
Let's call:
B = velocity of the boat
C = velocity of the current
When traveling upstream, the current is against the boat thus the relative velocity is B-C.
The distance is the product of the velocity by the time. Since the boat takes 7 hours to travel 35 miles upstream, thus:
d=(B-C)*7=35
Dividing by 7:
B - C = 5 [1]
When traveling downstream, the current and the boat are collaborative and the relative velocity is B+C. The travel takes now 3.5 hours, thus:
d=(B+C)*3.5=35
Dividing by 3.5:
B + C = 10 [2]
Subtracting [2] - [1]:
2C = 5
C = 5/2 = 2.5
The speed of the current is 2.5 miles per hour
NEED HELP QUICK <3
140 is what percent less than 160?
Answers
Answer:
Step-by-step explanation:
Step 1: We make the assumption that 160 is 100% since it is our output value.
Step 2: We next represent the value we seek with x.
Step 3: From step 1, it follows that 100%=160
Step 4: In the same vein, = x%=140.
Step 5: This gives us a pair of simple equations:
100%=160(1).
x%=140(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100% / x% = 160 / 140
Step 7: Taking the inverse (or reciprocal) of both sides yields
x% / 100% = 140 / 160
x% = 87.5%
therefore, 140 is 87.5% of 160
We obtain that 140 is 12.5% percent less than 160.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, 140 is some percent less than 160 to obtain this we'll subtract (140/160)×100% from 100% which is,
= 100% - (140/160)×100%.
= 100% - 87.5%.
= 12.5%
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
PLSPLSPLSPLS I NEED HELPPPPPPPP
Answers
Answer:
huh?
Step-by-step explanation:
Which of the following statements about tornadoes is true
Answers
Answer:
I think the second one and the last one
Step-by-step explanation:
please mark me as brainliest thank you
Answer:
D.) Most tornadoes have wind speeds greater than 105 kph
Step-by-step explanation:
took the quiz
Exercises that are _________ in nature are those that make your muscles use oxygen to perform
a) Aerobi
b) Anaerobic
Answers
Answer:
Aerobic
Step-by-step explanation:
Oxygen = aerobic
no oxygen = anaerobic
Select the correct answer. if f(x) =
Answers
Answer:
A is the correcy asnwer
Step-by-step explanation:
Answer:
C. y = - f(x) - 3Step-by-step explanation:
Given parent function:
f(x) = √xThe graphed is reflection of the parent function over x-axis and translated 3 units down. This is:
y = - f(x) - 3Correct option is C
Match the lines m and n to the statements they represent
Answers
Answer:
Line n: A set of points where the coordinates of each point have a sum of 2
Line m: A set of points where the y-coordinate of each point is 10 less than the x-coordinate
Step-by-step explanation:
Given
Lines m and n (See attachment)
Required
Interpret both lines
First, we pick few coordinates of line m and then line n.
For m
[tex](x_1,y_1) = (13,3)[/tex] -- At point E
[tex](x_2,y_2) = (6,-4)[/tex] -- At point B
[tex](x_3,y_3) = (2,-8)[/tex] -- At point D
For n
[tex](x_1,y_1) = (-2,4)[/tex] -- At point A
[tex](x_2,y_2) = (6,-4)[/tex] -- At point B
[tex](x_3,y_3) = (12,-10)[/tex] -- At point C
Test for Statement A:
Set of point with a sum of 2
i.e.
[tex]x + y = 2[/tex]
For m
[tex](x_1,y_1) = (13,3)[/tex] -- At point E
[tex]x_1 + y_1 = 13 + 3 = 16[/tex]
This statement is not true for line m
For n
[tex](x_1,y_1) = (-2,4)[/tex] -- At point A
[tex]x_1 + y_1 = -2 + 4 = 2[/tex]
[tex](x_2,y_2) = (6,-4)[/tex] -- At point B
[tex]x_2 + y_2 = 6- 4 = 2[/tex]
[tex](x_3,y_3) = (12,-10)[/tex] -- At point C
[tex]x_3 + y_3 = 12- 10 = 2[/tex]
This statement is true for line n
Test for Statement 2:
Set of points where y is x - 10
i.e.
[tex]y = x - 10[/tex]
For m
[tex](x_1,y_1) = (13,3)[/tex] -- At point E
[tex]y_1 = x_1 - 10[/tex]
[tex]3 = 13 - 10[/tex]
[tex]3 = 3[/tex]
[tex](x_2,y_2) = (6,-4)[/tex] -- At point B
[tex]y_2 = x_2 - 10[/tex]
[tex]-4 = 6 - 10[/tex]
[tex]-4 = - 4[/tex]
[tex](x_3,y_3) = (2,-8)[/tex] -- At point D
[tex]y_3 = x_3 - 10[/tex]
[tex]-8 = 2 - 10[/tex]
[tex]-8 = -8[/tex]
This statement is true for line m
You purchase 3 action figures per week. You have 27 action figures, which is 60% of the total number of action figures you need to complete your collection. How many weeks until your collection is complete?
Answers
45-27=18
18/3 per week=6 weeks
Camille is getting older and feels like she should donate her collection of
stuffed animals to children who are less fortunate. She has 45 stuffed
cats and 18 stuffed dogs, which she wants to divide into identical groups
with no stuffed animals left over. What is the greatest number of groups
Camille can place her stuffed animals into? *
Plz help ASAP
Answers
Answer:
Answer is in photo
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
7
Step-by-step explanation:
Pythagorean theorem. 24^2+b^2=25^2
Simplify
576+b^2=625
b^2=49
b=7
Sean has a beginning balance of $328.15 in his account. He writes checks for the following amounts: $20.75, $43.58,
$30.45, and $29.72. What is the new balance in Sean's account?
$14.75
$203.65
$124.50
$307.40
Answers
Answer:
The new balance in Sean's account is $203.65
Step-by-step explanation:
The initial balance in Sean's account is $328.15. Then he writes checks for the amounts $20.75, $43.58, $30.45, and $29.72.
The sum of his checks is $20.75 + $43.58 + $30.45 + $29.72 = $124.5
The new balance in Sean's account is the initial balance minus the sum of the amounts of the checks he wrote:
Final balance = $328.15 - $124.5 = $203.65
The new balance in Sean's account is $203.65
Great things great things
Answers
Answer:
Heeeheeeeheee
Step-by-step explanation:
So right
tell whether the given ordered pair is a solution of the equation y = -2 + 5;(2,1)
Answers
Note: your equation is a little bit unclear. Thus, I am assuming that
y = 2x+5
Anyway, the procedure remains the same. It would anyways clear your concept.
Answer:
We conclude that the ordered pair (2, 1) is a solution.
Step-by-step explanation:
Given the equation
[tex]y = -2x+5[/tex]
Check for point (2, 1)
substituting the point (2, 1) in the equation to check whether the ordered point satisfies the equation or not.
[tex]y = -2x+5[/tex]
plug in x = 2 and y = 1
1 = -2(2)+5
1 = -4+5
1 = 1
R.H.S = L.H.S
TRUE
Therefore, the given ordered pairs satisifes the equation.
Hence, we conclude that the ordered pair (2, 1) is a solution.
Let f be the function defined by f(x) = –x^3 – x. If g represents the inverse of f, what is g′(10)?
Answers
Answer:
[tex]\displaystyle g'(10)=\frac{1}{-13}=-\frac{1}{13}[/tex]
Step-by-step explanation:
The Derivative of the Inverse Function
Let f(x) be a real invertible function, and g(x) the inverse function of f(x), i.e.,:
[tex]g(x)=f^{-1}(x)[/tex]
We can calculate the derivative of the inverse function even if we don't have the inverse function explicitly computed. We use the formula:
[tex]\displaystyle g'(x)=\frac{1}{f'(g(x))}[/tex]
We need to find the value of g'(10) when:
[tex]f(x)=-x^3-x[/tex]
Substituting:
[tex]\displaystyle g'(10)=\frac{1}{f'(g(10))}[/tex]
We don't have the value of g(10) but we can guess its value since the inverse functions f and g satisfy:
if y=f(x), then g(y)=x, thus we need to find a value of x that produces a value of f(x)=10.
We can easily find that x=-2:
[tex]f(-2)=-(-2)^3-(-2)=8+2=10.[/tex]
Thus, g(10)=-2
Now we find:
[tex]f'(x)=-3x^2-1[/tex]
[tex]f'(-2)=-3(-2)^2-1[/tex]
[tex]f'(-2)=-3*4-1=-13[/tex]
Thus, finally:
[tex]\displaystyle g'(10)=\frac{1}{-13}=-\frac{1}{13}[/tex]
What is the length of the hypotenuse of the triangle when x= 12?
6x+4
5x
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)
Answers
Answer:
The length of the hypotenuse: c = 96.8 units
Step-by-step explanation:
Given the sides
a = 6x+4b = 5xc = hypotenuse = ?Given that the x = 12
so
a = 6x+4 = 6(12)+4 = 76b = 5x = 5(12) = 60Pythagorean Theorem:
For a right angled triangle with sides 'a' and 'b', the hypotenuse 'c' is defined as:
[tex]c=\sqrt{a^2+b^2}[/tex]
substituting a = 76 and b = 60
[tex]c=\sqrt{76^2+60^2}[/tex]
[tex]c=4\sqrt{586}[/tex]
[tex]c = 96.8[/tex] units
Therefore, the length of the hypotenuse: c = 96.8 units
0.15(y-0.2)=2-0.5(1-y)
Answers
Answer:25
Step-by-step explanation:
it 25 bc if u add them and then subtract then u get 25
sorry if it’s blurry
Answers
Answer:
im blind
Step-by-step explanation:
im really sorry i cant see anything
Answer:
It is A or 3.9
Step-by-step explanation:
PLEASE GIVE BRAINLIEST
its just the square route.
Mr. Verrengia bought some math supplies at the local math depot. He
doesn’t remember how much money the items cost, but knows that
the 5% sales tax came to $1.25. How much money did he spend on the
math supplies before tax?
I need to know quick!
Answers
Answer:
6.25
Step-by-step explanation:
Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for several seconds. The player began counting at 0 seconds, even though the video had already played 190 frames. The video plays 25 frames per second.
How many frames had the video already played when the time was equal to -3 2/5?
Answers
Answer:
105
Step-by-step explanation:
t = 0
frame = 190
so it means, the video has 190 before the timer start counting
speed 25 fps
-------
t = -3 2/5 s = -17/5 s
frame = ?
with the rate of 25 fps
it gain 25 x -17/5 = 85 frame.
so the video at that time has already played
190-85 = 105 frame
solve the inequality : 8<=2/3(3y-6)
Answers
Answer:
I'm assuming you meant [tex]8\leq \frac{2}{3} (3y-6)[/tex], if so the answer is [tex]\:y\ge \:6\:[/tex]
Step-by-step explanation:
hope this helps :)
Answer:
y_>-6
Step-by-step explanation:
8<=2y-4
2y-4>=8
2y-4+4>=8+4
2y>=12
2y/2>=12/2
Kate received $15 from her Nana on her birthday. Kate used this money to open a bank account, and added money each week as shown in the table. Interpret the y-intercept of the graph of this function.
Answers
Answer:
15
Step-by-step explanation:
x = time in weeks
y= dollars
so once x hits 0 they corresponding y will be the y intercept.
Lori lives 272 miles from her grandparents, 411 miles from her aunt, and 39 miles from her cousins. About how much closer does Lori live to her grandparents than to her aunt?
Answers
Answer:
139 miles
Step-by-step explanation:
Lori lives 272 miles from her grandparents
411 miles from her aunt
39 miles from her cousins
Therefore the distance in which Lori lives to get grandmother than her aunt can be calculated as follows
= 411 miles - 272 miles.
= 139 miles
In a box of chocolates, 1/5 of the chocolates contain nuts.
The rest of the chocolates do not contain nuts.
Write down the ratio of the number of chocolates that contain nuts to number of chocolates that do not contain nuts.
Give your answer in the form of 1:n
Answers
Answer:
The ratio of the number of chocolates that contain nuts to the number of chocolates = 1:4
Step-by-step explanation:
The parameters given are;
Proportion of the box of chocolates that contain nuts = 1/5
Proportion of the box of chocolates that do not contain nuts = 1 - 1/5 = 4/5
Therefore, we have in a box of chocolates with five chocolates;
The number of chocolates that contain nuts = 1
The number of chocolates that do not contain nuts = 4
Which gives the ratio of the number of chocolates that contain nuts to the number of chocolates as 1:4.
Translate the phrase into an algebraic expression. The difference of w and 6
Answers
Answer:
w - 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Translate
"Difference" is subtraction
"w" is w
"6" is 6
Step 2: Write
w - 6
pls answer if you can i need the answer right away
Answers
Answer:
What’s the question?
Step-by-step explanation:
Type SSS, SAS, ASA, SAA, or HL
to justify why the two smaller triangles are
congruent.
Answers
Answer:
SSS
Step-by-step explanation:
They are congruent because they have 3 same sides.
please helppp
•••••••••••••
Answers
Answer:
if it is x-5, and y +3 than
a = -2,3
b = -1,5
c = -4,6
Step-by-step explanation:
if we are going in a
(x,y)
order and x-5, and y +3, than this should be correct.
5 squared + 6 squared
Answers
Answer:
61
Step-by-step explanation:
25 + 36
Answer:
(5)^2 + (6)^2
25 + 36
= 61
hope it helps you
a school has 1800 students 55 %of the students of girls. how many boys are in the school?
Answers
Answer:
810 boys
Step-by-step explanation:
1800 students and 55% are girls.
100%-55%=45%
1800*0.45 = 810
1800*0.55 = 990
So there are 990 girls and 810 boys.
Hope this helps :)
anna has a 12 quarter 4 dimes and 11 nickel in her piggy bank how much money is in the bank
Answers
Answer:
$3.95
Step-by-step explanation:
12*0.25=3
4*0.10=0.40
11*0.05=0.55
3+0.40+0.55=$3.95
Answer:
$3.95
Step-by-step explanation:
12q+4d+11n