What is the greatest common factor of 96 and 72
First, do the prime factorization.
96 = 2 x 2 x 2 x 2 x 2 x 3
72 = 2 x 2 x 2 x 3 x 3
The GCF is the product of their shared factors.
They share 2, 2, 2, and 3.
2 x 2 x 2 x 3 = 24.
Their GCF is 24.
The greatest common factor of the given numbers 96 and 72 will be equal to 24.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given number for GCF in the question,
Firstly, factorize the given numbers,
96 = 2 x 2 x 2 x 2 x 2 x 3
72 = 2 x 2 x 2 x 3 x 3
The result of their shared factors is the GCF.
2 x 2 x 2 x 3 = 24.
Therefore, the GCF is 24.
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Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn. After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left. What was the weight of each bag cant figur it out 5th grade math
Answer:
1.675 lb
Step-by-step explanation:
Given that Hannah mixed 6.83 lb of pretzels with 3.57 lb of popcorn.
So, after mixing, the total amount of mixture is
6.83 lb + 3.57 lb = 10.40 lb.
After filling up 6 bags that were the same size with the mixture, she had 0.35 lb left, so 0.35 lb of the mixture is not in the bag.
So,he total amount of mixture in 6 bags = 10.40 lb - 0.35 lb=10.05 lb, which is the weight of 6 bags.
The weight of one bag =\frac {10.05}{6} lb
=1.675 lb
As all the bags are of the same size, so the weight of all the bags are same,
Hence, the weight of each bag is 1.675 lb.
What is the answer to this? I will give 30 points and brainllest to the first person to answer correctly.
Answer:
15. 60% of 25 is 15.
Activity 1 Lesson 1 Patterns , Sequences and Rules
Answer:
6.
1 table seats 5 students
2 tables seat 8 students
3 tables seat 11 students
4 tables seat 14 students
5 tables seat 17 student
Each new tables allows 3 more students to have a seat.
7.
Each additional table does not have seats for 5 students because the side of it is pressed against another table, so a student cannot sit there.
The ratio of cars to trucks in a parking lot was
4:7. For every _____
cars there were ______
trucks.
Answer:
For every 4 cars, there were 7 trucks.
Step-by-step explanation:
We go in the order it's given, if there are cars to trucks, we can assume the numerator in the ratio will be cars, and the denominator in the same ratio will be trucks.
Answer:
4, and 7
Step-by-step explanation:
if the ratio of cars to trucks is 4:7, that means there are 4 cars to every 7 trucks
I need this answer ASAP!! What is the area of a circle with a radius of 3/4?
Answer:
A≈1.77
Step-by-step explanation:
What are the x and y intercepts of a line described by the following equation? Please show your work for calculating the the x and y intercept:
-4x + 2y = 6
At a movie theater, the size of popcorn bags decreased by 20%. Id the old bags held 15 cups of popcorn , How much do the new bags hold?
Answer:
25
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
6. Trapezoid DEFG with vertices D(-5, 15), E(10, 10), F(10,5), and G(-5,0):
k = 1/5
Answer:
D (-1,3)
E (2,2)
F (2,1)
G (-1,0)
Step-by-step explanation:
Multiply each point by 1/5.
Or think of it as dividing each point by 5
D (-5,15) divide -5 by 5 get -1, divide 15 by 5 get 3
so, (-1,3)
The coordinate of the new trapezoid will be D'(-1, 3), E'(2, 2), F'(2, 1), and G'(-1, 0).
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
Trapezoid DEFG with vertices D(-5, 15), E(10, 10), F(10,5), and G(-5,0).
The scale factor will be 1/5. Then the coordinate of the new trapezoid will be given as,
D' = (-5/5, 15/5) = (-1, 3)
E' = (10/5, 10/5) = (2, 2)
F' = (10/5, 5/5) = (2, 1)
G' = (-5/5, 0/5) = (-1, 0)
The direction of the new trapezoid will be D'(- 1, 3), E'(2, 2), F'(2, 1), and G'(- 1, 0).
The diagram is given below.
More about the dilation link is given below.
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Plz help i need it done fast
Which of the following are remote interior angles of 6? Check all that apply.
Answer:
esla de f b
Step-by-step explanation:
what is2(12-w)=-2(w-17)-10
Answer:
17=w
Step-by-step explanation:
decompose the brackets
24-2w=2w-34-10
collect like terms
24+34+10=2w+2w
68=4w
divide by 4
17=w
9. Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation to find out how many hours, h, they rented the boat if the total cost was $33. Solve.
h =
Just give the answer, no h =
Answer:
9 hours
Step-by-step explanation:
Which expression is equivalent to −10.75(20x+15.2)?
Answer:
See below.
Step-by-step explanation:
-10.75(20x+15.2)
-215x-163.4
-hope it helps
The equivalent expression is,
⇒ - 215x - 163.4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ - 10.75 (20x + 15.2)
Now, We can simplify as;
⇒ - 10.75 (20x + 15.2)
⇒ - 10.75 × 20x - 10.75 × 15.2
⇒ - 215x - 163.4
Thus, The expression is equivalent to - 215x - 163.4.
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Which of the following represents the perimeter of the figure below?
P = 2 * (6x - 5) + 2 * (1/4x + 2)
= 12x - 10 + 1/2x + 4
= 12 1/2x - 6 => A
1.A rectangular prism has a volume of 1080 cubic cm. Its dimensions are 5 cm, (x + 12) cm, and (x + 6) cm. What is the value of x?
Answer:
x = 6 cm
Step-by-step explanation:
Volume of a rectangular prism = length × width × height
Length = 5 cm
Width = (x + 12) cm
Height = (x + 6) cm
Volume of a rectangular prism = 1,080 cubic centimeter
Volume of a rectangular prism = length × width × height
1080 = 5 * (x+12) * (x+6)
1080 = 5 (x^2 + 6x + 12x + 72
1080 = 5 (x^2 + 18x + 72)
1080 = 5x^2 + 90x + 360
Divide through by 5
216 = x^2 + 18x + 72
Subtract 216 from both sides
x^2 + 18x + 72 - 216= 0
x^2 + 18x - 144 = 0
Using factorization method to solve the quadratic equation
x^2 + 24x - 6x - 144 = 0
x( x+ 24) - 6 ( x + 24) = 0
(x + 24) (x - 6) = 0
x + 24 = 0
x = -24
x - 6 = 0
x = 6
x = -24 or 6
x can not be a negative value , so, x = 6 cm
the sum of 3 and 7 times a number is 45
Answer:
4.5
Step-by-step explanation:
The sum of 3 and 7 is 10
then what number to you multiply 10 by to get 45
45 ÷ 10 = 4.5
so the answer is 4.5
I'm not sure if I'm right or wrong can someone explain to me what the correct answer is asap?
Answer:
4
Step-by-step explanation:
I know this because if you try multiply each number there by 45 you would need to get the total of 180, but if you multiply 45 times 4 you may get 180. The answer you chose is wrong because it doesn't get to 180 with any number you try multiplying with that number you chose.
What is the measure of an exterior angle of an equilateral triangle?
Answer:
120
Step-by-step explanation:
An equilateral triangle has 3 sides. The exterior angle = 360 / 3 = 120
A square has 4 sides. Each exterior angle = 360 / 4 = 90
A regular n gon has n sides. The exterior angles will be 360/n
What is log subscript 6 baseline e superscript f rewritten using the power property? e log subscript 6 baseline f f log subscript 6 baseline e log subscript 6 baseline (e times f) log subscript 6 baseline (e f)
The value of the given expression will be [tex]\rm (f\ Log_6\ e)[/tex]
What will be the value of the given expression in the question?It is given in the question that
log subscript 6 baseline e superscript f
When we convert it into the mathematical form we get
[tex]\rm=Log_6\ e^f[/tex]
Now from logarithmic property
[tex]\rm Log_a\ u^n=n\ Log_a\ u[/tex]
By using this property the expression will become
[tex]\rm Log_6\ e^f= f\ Log_a\ u[/tex]
Thus the value of the given expression will be [tex]\rm Log_6\ e^f= f\ Log_a\ u[/tex]
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Answer:
flog6e
Step-by-step explanation:
promise it's correct
Annabelle went to the store to buy some apples. The price per pound of the apples is $3.75 per pound and she has a coupon for $3.25 off the final amount. With the coupon, how much would Annabelle have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy pp pounds of apples, assuming at least one pound is purchased.
Answer:
final cost of 3 pounds: 8 dollars
final cost of p pounds: 3.75p - 3.25 dollars
Step-by-step explanation:
Max lost 23 pounds while on a diet. He
now weighs 184 pounds. Write and solve
an equation to find his initial weight w.
Half a number plus 5 is 11.What is the number?
Let x be the number
[tex]\small\bold\red{→}\small\bold{(\frac{1}{2} )x + 5 = 11}[/tex]
[tex]\small\bold\red{→}\small\bold{(\frac{1}{2})x + 5 - 5 = 11 - 5}[/tex]
[tex]\small\bold\red{→}\small\bold{(\frac{1}{2})x = 6}[/tex]
[tex]\small\bold\red{→}\small\bold{2 × (\frac{1}{2})x = 6 × 2 }[/tex]
[tex]\small\bold\red{→}\small\bold{x = 12}[/tex]
Hello.
First, "half a number" means we divide that number by 2.
Let's say the number is z.
Divide z by 2:
[tex]\displaystyle\frac{z}{2}[/tex]
Add 5 to it:
[tex]\displaystyle\frac{z}{2} +5[/tex]
Now, this expression equals 11:
[tex]\displaystyle\frac{z}{2} +5=11[/tex]
Subtract 5 from both sides:
[tex]\displaystyle\frac{z}{2} =11-5[/tex]
[tex]\displaystyle\frac{z}{2} =6[/tex]
Now, in order to get rid of the fraction, we should multiply the entire equation by 2:
[tex]\displaystyle\frac{z}{2} *2=6*2[/tex]
[tex]z=6*2[/tex]
[tex]\Large\boxed{z=12}[/tex]
I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
Which equation has a solution of x = 15?
A. X + 7 = 12
B. 15 + x = 10
C. 13 + x = 38
D. x + 24 = 39
Hey there!
Let's solve all these equations.
The first equation:
x+7=12
subtract 7 from both sides:
x=5
not 15 ;)
The second equation:
15+x=10
subtract 15 from both sides:
x=-5
not 15 ;)
13+x=38
subtract 13 from both sides:
x=38-13
x=25
not 15 ;)
let's try the last option (it has to work)
x+24=39
subtract 24 from both sides:
x=15
Yep!
Hence,
[tex]\boxed{\boxed{\bold{Option~D~is~correct.}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
Find the equation of a line that passes through the points (4, 3) and (8,1)
Answer: y= -1/2x + 5
Step-by-step explanation:
We will write the equation in slope-intercept form meaning that we will need to find the slope and the y-intercept.
The slope-intercept for is y=mx +b where m is the slope and b is the y-intercept.
Find the slope by find the difference in the y coordinates and divide it by the difference in the x-coordinates.
The y-coordinates are 3 and 1
The x coordinates are 4 and 8.
3-1 = 2
4-8 = -4
2/-4= -1/2
The slope is -1/2
We will now use one of the points and the slope to find the y-intercept by plotting their values into the formula .
3= -1/2(4) + b
3= -2 + b
+2 +2
b= 5
The equation will be y= -1/2x + 5
PLEASE HELP I NEED TO PASS
“Find g(6) when g(x)=2x-16”
Answer:
-4
Step-by-step explanation:
you just plug in. so, 2(6)-16
so, 2*6 is 12
12-16=-4
Answer:
g(6)= -4
Step-by-step explanation:
g(6) means x is equal to 6
g(6)= 2(6)-16
12-16
g(6)= -4
Hope this helps!
A sold an article to B at a gain of 10% ,B sold it to C at a gain of 20% .If C paid Rs.2,640 for it,what did it cost A?
Help me with this question please
Answer:
$2,000
Step-by-step explanation:
Since B sold the article to C at a gain of 20%, 2,640 must be 120% or 1.2 times the price that B paid.
To find the price that B paid, we just need to divide 2,640 by 1.2, as the original price multiplied by 1.2 = a 20% increase.
2,640/1.2= 2,200
The price B paid for it must have been 2,200.
Now we know that 2,200 was the price sold by A to gain 10%, therefore it is 110% or 1.1 times the original price A paid for it. Therefore, once again to find the original price, we just need to divide it by 1.1:
2,200/1.1 = 2,000
The original price it cost A was $2,000.
Hope this helped!
A cookie recipe calls for 3/4 cups of flour and 1/2 cups of sugar. If you use 4.5 cups of flour, how many cups of sugar do you need?
Answer:
3 cups of sugar.
Step-by-step explanation:
Divide 4.5 by 0.75(cups of flour) which gives you 6. Multiply 6 by 1/2.
Wilma works at a bird sanctuary and stores bird seed in plastic containers. She has 5 small containers that holds 8 pounds of bird seed each and 6 large containers that hold 12 pounds of bird seed each. Each container was full until she used 4 pounds of bird seed. She wants to put some of the remaining bordered into 26 bird feeders that can hold 2 pounds each. How much birdseed does she have left over? Show the expression you used to find your answer.
Answer: 56lb
Step-by-step explanation:
Wilma has:
5 small containers that hold 8 lb each: Here we have a total of 5*8lb = 40 lb
6 large containers that hold 12 lb each: Here we have a total of 6*12lb = 72 lb
There is a total of 40lb + 72lb = 112 lb.
Now we know that she uses 4 lb, so now she has:
112lb - 4lb = 108lb.
Now she wants to fill 26 bird feeders, that can hold 2 lb each.
So she needs 26*2lb = 52lb
The amount of bird seeds that she has left is:
108lb - 52lb = 56lb
What is 25637 to 1 significant figure
Answer:
30000
Step-by-step explanation:
Currently there are 5 significant figures. Since there is a 5 after the 2, it would round it up to a 3. Zeros aren't considered significant figures unless there is a period. Therefore, 30000 is the answer. 3 is the 1 significant figure with four insignificant zeros.
Answer:
30000
Step-by-step explanation:
Remember non-zero numbers are significant.
Zero between non zero numbers are significant.
So 25637 to 1 significant figure is rounding it off to the nearest ten thousand in a simple way.
So 25637 to 1 significant figure simply becomes 30000.
HOPE IT HELPED.
ENJOY THE REST OF YOUR DAY OR NIGHT