Answer:
The greatest common factor is 4
Step-by-step explanation:
1.Find the prime factorization of 12
a) 12 = 2 × 2 × 3
2.Find the prime factorization of 196
a) 196 = 2 × 2 × 7 × 7
To find the GCF, multiply all the prime factors common to both numbers:
a)GCF=2x2
Therefore, GCF = 2 × 2
GCF = 4
The greatest common factor of the numbers 196 and 12 is 4.
What is the greatest common factor?The largest factor of the two numbers which divides both numbers is called as greatest common factor or GCF. The greatest common factor is the largest number which can divide both the numbers.
1. Find the prime factorization of 12
12 = 2 × 2 × 3
2. Find the prime factorization of 196
196 = 2 × 2 × 7 × 7
To find the GCF, multiply all the prime factors common to both numbers:
GCF=2x2
GCF=4
Therefore, the greatest common factor of the numbers 196 and 12 is 4.
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A line passes through the points (7, 10) and (7, 20). Which statement is true about the line?
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Answer: D) It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Step-by-step explanation:
slope is y2-y1/x2-x1
20-10/7-7
10/0
denominator can't be 0
Answer:
D
Step-by-step explanation:
cause i said so
4. 4 movie tickets cost $56.00. At this rate, what is the cost
per ticket?
Answer:$14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
14 x 4= 56
Robert graduates from a technical school and finds a welding job that pays
$14 per hour. He always works at least 40 hours in a given week. When he works
overtime, he gets 1.5 times his regular hourly pay. His overtime pay can be
represented by h, the number of hours greater than 40 he works in a week.
Create an expression for the amount of money Robert earns in a week.
Use the values from the box below. Write the value(s) needed for each addend
in each space on the answer sheet.
Answer: $581
Step-by-step explanation:
given data:
Hours worked weekly(hrs) = 40
wages = $14/hr
Amount earned for overtime = 1.5 times of his hourly pay.
Solution
Amount earned for overtime
= 1.5 * $14
= $21
Amount Roberts earns in a week
= $14 * 40 + $21
= $560 + $21
= $581
Answer:
Weekly earning = 560 + 21h
Step-by-step explanation:
Given the following :
Regular Pay = $14 per hour
Work hour = atleast 40 hours per week
Overtime pay = 1.5(regular pay)
If overtime hour = h
Robert's weekly earning :
Regular pay * 40 + (overtime * 1.5(regular pay))
$14 * 40 + (h * 1.5(14))
560 + 21h
Hence,
Weekly earning = 560 + 21h
Un apostador pierde en su primer juego el 30% de su dinero, en el segundo juego pierde el 50% de lo que perdió; finalmente en el tercer juego pierde el 40% de todo lo que ha perdido quedándole 37 soles para seguir apostando. Dar como respuesta el dinero que el apostador tenía al principio menos su 75%
Responder:
26,62
Explicación paso a paso:
Sea x el dinero original que tenía el jugador:
si un jugador pierde en su primer juego el 30% de su dinero, la cantidad perdida será;
[tex]= 30/100 \ of \ x\\= 0.3x[/tex]
Si en el segundo juego pierde el 50% de lo que perdió, entonces la cantidad perdida en el segundo juego será:
[tex]= 50/100 \ of \ 0.3x\\= 0.5 \times 0.3x\\= 0.15x[/tex]
Si en el tercer juego pierde el 40% de todo lo que ha perdido, la cantidad perdida en el tercer juego será:
[tex]=\frac{40}{100} \ of \ (0.3x+0.15x) \\= 0.4(0.45x)\\= 0.2025x[/tex]
Si la cantidad que le queda para seguir apostando es de 37 soles, entonces para calcular la cantidad original que tiene, sumaremos toda la cantidad perdida y la cantidad restante y equipararemos la cantidad original x como se muestra:
0,3x + 0,15x + 0,2025x + 37 = x
0,6525x + 37 = x
x-0,6525x = 37
0,3475x = 37
x = 37 / 0,3475
x = 106,48
La cantidad que tenía originalmente era de 106,48
75% de 106,48
= 75/100 * 106,48
= 0,75 * 106,48
= 79,86
Tomando la diferencia entre su monto original y su 75% será:
[tex]= 106.48-79.86\\= 26.62[/tex]
Which graph has a rate of change of zero?
Answer:
graph #x
Step-by-step explanation:
where are the graphs
You've decided to open a checking account. You know there are a number of differences with individual banking institutions. Name at least 3 good questions to ask to get started, and explain why knowing this information is helpful. Use complete sentences.
Answer:
Step-by-step explanation:
The three best questions to ask would be the following
What are the fees?What are the bonuses and rewards?What is the interest rate?Most bank checkings account charges fees and these fees may or may not be hidden. These can include maintenance fees, overdraft fees, balance fees, etc. and can stack up if not managed correctly. Therefore it is best to know beforehand.
One of the main things that set these accounts apart between banks are the bonuses and rewards. Some banks may offer a sign-up bonus which can be 200$ or higher when opening a new account. Others may offer higher interest rates for returning customers, or even a physical reward for spending money or depositing a certain amount into the account. These are features that set the different banks apart.
Lastly, would be the interest rate. This is especially important if you have a large sum of money that will be in the account as your money can generate more money with an interest rate. Banks may offer anywhere between 1% to 3% annual interest rate. This can be a deciding factor when choosing one bank over another.
someone please help me with this problem
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
Which inequality is true? Use the number line to help. A number line going from negative 2.5 to positive 2.5 in increments of 0.5. Negative 1.5 greater-than 0.5 Negative 0.5 greater-than 0 Negative 1.5 less-than negative 0.5 One-half greater-than 0.5
Given:
A number line going from negative 2.5 to positive 2.5 in increments of 0.5.
To find:
The inequality which is true.
Solution:
Consider the number line as shown in the below figure.
We know that, on a line as we go to the left direction, the number become smaller and as we go right, the numbers become larger.
From the number line it is clear that -1.5 is on the left side of 0.5. So,
[tex]-1.5<0.5[/tex]
Hence, option A is incorrect.
-0.5 is on the left side of 0. So,
[tex]-0.5<0[/tex]
Hence, option B is incorrect.
-1.5 is on the left side of -0.5. So,
[tex]-1.5<-0.5[/tex]
Hence, option C is correct.
One half is equal to 0.5.
[tex]\dfrac{1}{2}=0.5[/tex]
Hence, option D is incorrect.
Answer:
C
Step-by-step explanation:
Let $f(x) = 2x - 3$ and $g(x) = x + 1$. What is the value of $f(1 + g(2))$?
Answer:
The value of f(1 + g(2)) is 5
Step-by-step explanation:
Let us solve the question
∵ f(x) = 2x - 3
∵ g(x) = x + 1
We need to find the value of f(1 + g(2))
That means we will replace x in f(x) by 1 + g(2)
→ g(2) means substitute x in g by 2
∵ g(x) = x + 1
∵ x = 2
∴ g(2) = 2 + 1
∴ g(2) = 3
∵ x of f = 1 + g(2)
∵ g(2) = 3
∴ x of f = 1 + 3
∵ x of f = 4
→ To find f(1 + g(2)) substitute 1 + g(2) by 4
∵ f(x) = 2x - 3
∵ x = 4
∴ f(4) = 2(4) - 3
∴ f(4) = 8 - 3
∴ f(4) = 5
∴ f(1 + g(2)) = 5
if a2+b2+c2=ab+bc+ca find a+b/b
Answer:
Step-by-step explanation:
a² + b² + c² = ab + bc + ca
On multiplying both sides by “2”, it becomes
2 ( a² + b² + c² ) = 2 ( ab + bc + ca)
2a² + 2b² + 2c² = 2ab + 2bc + 2ca
a² + a² + b² + b² + c² + c² – 2ab – 2bc – 2ca = 0
a² + b² – 2ab + b² + c² – 2bc + c² + a² – 2ca = 0
(a² + b² – 2ab) + (b² + c² – 2bc) + (c² + a² – 2ca) = 0
(a – b)² + (b – c)² + (c – a)² = 0
=> Since the sum of square is zero then each term should be zero
⇒ (a –b)² = 0, (b – c)² = 0, (c – a)² = 0
⇒ (a –b) = 0, (b – c) = 0, (c – a) = 0
⇒ a = b, b = c, c = a
∴ a = b = c.
hence
a+b/b
a+a/a= (since a=b)
2a/a=
a....
Solve for h(x)=x(x+3)(x-2)
Answer:
Your answer is:
If you are solving to find x then your answer would have been: x = 0 , -3 , 2
If you are solving to find the x and y intercepts your answer is: ↓
x-intercept(s): (0,0) (-3,0) (2,0)
y-intercept(s): (0,0)
If you are solving to find roots your answer is: x = 0 , -3 , 2
If you want the graph look below ↓
Step-by-step explanation:
Hope this helped : )
Q5. A car is bought for £5000 and sold for £7500.
What is the percentage profit?
Answer:
50% profit
Step-by-step explanation:
Cost price = £ 5000
Selling price = £ 7500
Profit = Selling price - cost price
= 7500 - 5000
= £ 2500
Profit percentage = [tex]\frac{2500}{5000}*100[/tex]
= 50 %
Find the missing integers using appropriate properties.
-18+(-29)= -29+ _ =_
please help me
Answer:
I would use associative property and the awnser should be -29+-18= -47
Step-by-step explanation:
i hope that helps im very sorry if thats not right
giving brain list ..
options:
C is the midpoint of BD
reflexive property
definition of midpoint
vertical angles
given
Answer:
1. A is congruent to C
2. Given
3. I think line ac is congruent to line ce, don't know the options
4. angle ABC is congruent to angle DCE
5. Possibly vertical angles
I need the answer!!!! The original price of Doritos is the same at both Wal-Mart and Kroger. Jon found out that Wal-Mart had Doritos on sale at $0.50 off per bag and bought four bags. Later that day, he found out that Kroger had Doritos on sale at $1 off per bag and bought six bags. If he paid the same amount at both stores, what was the original price of Doritos?
write an equation and solve by using the distributive property, combining like terms, and eliminating the variable on one side of the equation. You must SHOW YOUR WORK!!!!
Answer:
I believe it would be $2 per bag normally.
Step-by-step explination:
If you take $2 and subtract $.50 it is $1.50. Take that multiplied by the number of bags he bought (4), would mean he spent $6 at Wal-mart.
Now $2 subtracted my the sale of $1, is $1 per bag. If he bought 6 bags at Kroger, 1 multiplied by 6, would equal 6. Meaning he spent $6 at both stores if the price was $2.
What does -5 1/2 + 2 1/2 equal.?
Answer:
wait isn't the answer right there-
Answer:
[tex]-5\frac{1}{2}+2\frac{1}{2}=-3[/tex]
Step-by-step explanation:
[tex]-5\frac{1}{2}+2\frac{1}{2}[/tex] or [tex](-5+2)+(\frac{-1}{2}+\frac{1}{2}) =[/tex]
[tex]-3+\frac{-1+1}{2}=[/tex]
[tex]-3+\frac{0}{2} =[/tex]
[tex]-3[/tex]
I think this is right.(✿◠‿◠)
I hope this helps! (✿◕‿◕✿)
Convert 10 feet into yards. Round your answer to the nearest hundredth.
The post office is selling 7 cent stamps and 9 cent stamps. If a package requires 43 cents to mail, how many 9 cent stamps will you need?
If a package requires 43 cents to mail, the number of 9 cent stamps that will be needed is 41cent is the value needed.
What is meant by mathematical equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.
Identify the question that is being asked. Write the pertinent details in straightforward statements. Give values that need to be discovered symbols. Find the mathematical connections between the assertions.
The most well-known equation in the entire universe is E=mc2. Just like that. It is succinct, elegant, and expresses a phenomenon that is so important that everyone should be aware of it.
Given,
The equation will be:
7x + 9y = 43
7(2) + 9(3) =41
14+ 27 = 41
Since the value that's is gotten not equal to 43
Therefore The value is 41 cent is needed to 9 cent stamps
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Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a group that matches Jim's pace of 4 miles in 38 minutes. Which of these student times would fit into a group that runs at the exact same rate as Jim?
Complete question :
Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a group that matches Jim's pace of 4 miles in 38 minutes. Which of these student times would fit into a group that runs at the exact same rate as Jim? Prax ran 6 miles in 57 minutes. Jose ran 5 miles in 45.5 minutes. Sandy ran 7 miles in 66.5 minutes. Zynep ran 3 miles in 27 minutes
Answer:
Prax and sandy
Step-by-step explanation:
Given that:
Jim's pace = 4 miles in 38 minutes
Jim's rate = Distance covered / time.
Rate = 4 / 38 = 0.1052631 miles /min
Prax ran 6 miles in 57 minutes:
Prax rate : 6miles / 57 mins = 0.1052631
Jose ran 5 miles in 45.5 minutes:
Jose's rate = 5 miles / 45.5 = 0.1098901 miles /
minute
Sandy ran 7 miles in 66.5 minutes:
Sandy's rate = 7 / 66.5 = 0.1052631 miles / minutes
Zynep ran 3 miles in 27 minutes:
Zynep's rate : 3 / 27 = 0.1111111 miles / minutes
A clock originally priced at $88 was sold at a sale for $77. The percentage discount?
(a) 11 (b) 12 1/2 (c)14 2/7 (d) 23
Answer:
It would be 12 1/2. (12.5%)
number 3 pls!!! I need help with figuring it out
Answer:
C. Angle MNP
Step-by-step explanation:
Check the corresponding equal sides with congruent angles
Answer: Third choice. [tex]\angle MNP[/tex]
=======================================================
Explanation:
We want to find something congruent to angle ABC.
With angle ABC, we have
A firstB secondC thirdThe order is important.
Looking at the triangle on the right, we see that
angle A has three arc marksangle B has one arc markangle C has two arc marksThe sequence of arc markings can be written as 3,1,2
Now focus your attention on the triangle on the left. Start with the triple arc angle, move to the single arc angle, then go to the double arc angle. You should trace out M, N then P in that exact order.
Therefore [tex]\angle ABC \cong \angle MNP[/tex]
Note how M is first, N is second, then P is third.
This lets us form these pairs of congruences
A = M (first letters; triple arc marking)B = N (second letters; single arc marking)C = P (third letters; double arc marking)Which is the graph of the equation y-1=2/3(x-3)?
Answer:
The second graph ( one with the coordinates (3,1) and (6,3))
Step-by-step explanation:
Answer:
The answer is B.
Step-by-step explanation:
Verify 1) x³+y³=(x+y)(x²-xy+y²)
2) x³-y³=(x-y)(x²+xy+y²)
using some non-zero positive integers and check by actual multiplication. can you call these as identities?
x³ + y³ = (x + y)(x² - xy + y²)
x³ - y³ = (x - y)(x² + xy + y²).
Proof for 1st Identity :
★ x³ + y³ = x (x² - xy + y²) + y(x² - xy + y²)
⟶ x³ + y³ = x³ - x²y + xy² + x²y - xy² + y³
⟶ x³ + y³ = x³ + y³
Proof for 2nd identity :
★ x³ - y³ = x(x² + xy + y²) - y(x² + xy + y²)
⟶ x³ - y³ = x³ + x²y + xy² - x²y - xy² - y³
⟶ x³ - y³ = x³ - y³
For example,Let us assume that,
x = 1
y = 2
So,
✯ x³ + y³ = 1³ + 2³
⟹ (x + y)(x² - xy + y²) = 1 + 8
⟹ (1 + 2)(1² - (1)(2) + 2²) = 9
⟹ 3 * (1 - 2 + 4) = 9
⟹ 3 * 3 = 9
⟹ 9 = 9
✯ x³ - y³ = 1³ - 2³
⟹ (1 - 2) * (1² + (1)(2) + 2²) = 1 - 8
⟹ ( - 1) * (1 + 2 + 4) = - 7
⟹ ( - 1) * (7) = - 7
⟹ - 7 = - 7
Thus , they can be called as identities/formulae as they are very useful in finding the value of a certain equation or an expression easily.
I hope it will help you.
Regards.
Which expression shows how to convert 60 hours to days? StartFraction 60 hours Over 1 EndFraction times StartFraction 1 hour Over 24 days EndFraction StartFraction 60 hours Over 1 EndFraction times StartFraction 1 day Over 24 hours EndFraction StartFraction 60 hours Over 1 EndFraction times StartFraction 24 hours Over 1 day EndFraction StartFraction 60 hours Over 1 EndFraction times StartFraction 24 days Over 1 hour EndFraction
come one people 5 points
Answer:
60/24
Step-by-step explanation:
Answer:
StartFraction 60 hours Over 1 EndFraction times StartFraction 24 days Over 1 hour EndFraction
Step-by-step explanation:
I'm sorry if this is wrong
CAN SOMEONE HELP ME PLEASE NEED THIS DONE BEFORE 10:00
Answer:
27/2 or 13.5
Step-by-step explanation:
use PEMDAS
Divide the 18 by 2 then multiply by 3
Subtract 3 from 5 then divide the top 27 by the bottom 2
Answer:
the answer is 9
Step-by-step explanation:
18 divided by 2 equals 9. then 9 times 3 equals 27. 27 divides by 3 (5-2 =3) which equals 9
Solve in Multi Step (Show work)
-2x + 5 = -6
Answer:
5.5
Step-by-step explanation:
-2x + 5 = -6
subtract -5 from -6 then divide by -2
i hope i explained it well.
Answer: 5.5 is your answer.
Step-by-step explanation:
1) -2x + 5 -5 = -6 -5 <------Subtract 5 from 5 and 5 from -6.
2) -2/-2 x = -11/-2 <---------------Now divide -2 by -2 and divide -2 by -11.
3) x = 5.5 <-------------And this is your answer.
Hope this helped! Have a great day! :).
Find the annual rate.
1. =$24, P=$400, t=2 years
2. I=$54, P=$900, t=1 year
Answer: for number one it is t=2
And for number 2 the answer is t=1
Step-by-step explanation:
A store manager instruct his employees to mark up all items by 30%.
What was the clerks likely error?
Answer: i have this work book and i guess it would be the clerk didnt put the amonut up enough
Step-by-step explanation:
How do I solve for x, y, and z? Please help ASAP.
Answer:
x = 60 degrees, y = 120 degrees, z = 30 degrees
Step-by-step explanation:
To solve this problem, we must first recognize that the triangle on the left is an equilateral triangle. This means that all of its side lengths are equal, which in turn means that all of its angles have the same measure. Since we know the sum of the interior angles of a triangle must be 180, we can write and solve the following:
x + x + x = 180
3x = 180
x = 60 degrees
Next, we should notice that one of the 60 degree angles is supplementary with angle y, which means that their sum should equal 180 degrees. This lets us write the following equation:
y + 60 = 180
When we subtract 60 from both sides to solve, we get:
y = 120 degrees
Finally, we should notice that the triangle on the right is isosceles. This means that two of the side lengths (and thus two of the angles) are equal. This means that the unmarked angle must also measure z degrees since the side lengths corresponding to these two side lengths are equal. From this information we can write the following equation:
y + z + z = 180
If we substitute the value for y and solve, we get:
120 + 2z = 180
2z = 60
z = 30 degrees
Therefore, the correct answer is x = 60 degrees, y = 120 degrees, and z = 30 degrees.
Hope this helps!
The first term of a sequence is 35 and the difference between the terms is always 8. a) Determine the nth term of the sequence.
Answer:
aₙ = 8n + 27Step-by-step explanation:
[tex]a_1=35\\d=8\\\\a_n=a_1+d(n-1)\\\\a_n=35+8(n-1)\\a_n=35+8n-8\\a_n=8n+27[/tex]