Write the prime factorization of 1008 and 1323. Then
reduce 1008/1323
Answer:
The prime factorization of 1008 is:
1008 = 2^4 × 3^2 × 7
The prime factorization of 1323 is:
1323 = 3 × 19 × 23
To reduce 1008/1323, we need to simplify the fraction by dividing the numerator and denominator by their greatest common factor (GCF). To find the GCF of 1008 and 1323, we can use their prime factorizations. The only common prime factor they share is 3, so the GCF is 3.
1008/1323 = (3 × 336)/(3 × 441) = 336/441
We can simplify this fraction further by dividing both the numerator and denominator by 7, which is the GCF of 336 and 441.
336/441 = (7 × 48)/(7 × 63) = 48/63
Finally, we can simplify this fraction by dividing both the numerator and denominator by their GCF, which is 3.
48/63 = (3 × 16)/(3 × 21) = 16/21
Therefore, 1008/1323 simplified is 16/21.
Step-by-step explanation:
Please awnser these three for me
Answer:
Step-by-step explanation:
1. 5.46 + 7.19 = 12.68
2. 6.21 - 1.37 = 5.84
3. 25.9 - 6.09 = 19.81
hope this helps
An account earns simple annual interest.
$925 at 2.3% for 2.4 years
a. Find the interest earned.
$
b. Find the balance of the account.
Please help me with the answer
The cost that will maximize the demand, considering the quadratic function, is given as follows:
$3.
How to maximize the demand?The quadratic function representing the demand is given as follows:
y = -10x² + 60x + 180.
The vertex of a quadratic function is the point on the graph where the function reaches its maximum or minimum value. For a quadratic function in standard form y = ax² + bx + c, the x-coordinate of the vertex is given by:
x = -b / (2a)
The coefficients of the quadratic function in this problem are given as follows:
a = -10, b = 60.
The x-coordinate is the price that maximizes the demand, hence it is obtained as follows:
x = -60/(2 x (-20))
x = 3.
More can be learned about quadratic functions at https://brainly.com/question/1214333
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Darla has a recipe for pot roast. There is a proportional relationship between the weight (in pounds) of the pot roast, x, and the total cooking time (in hours), y. Her recipe says that a 6-pound pot roast should take 3 hours to cook.
the total number of spikes in the antlers of three male elks is 32. the oldest elk has four times as many spikes as the youngest elk. the second oldest elk has eight spikes more than the youngest elk. how many spikes does each elk have in their antler?
Answer as an X equation and find the X
Answer:
the oldest elk=4(x)
second oldest elk=x+8
youngest elk=x
total spikes=32
4x+x+8+x=32
6x+8=32
6x=32-8
6x/6=24/6
x=4.
the oldest elk =4(4)=16
Step-by-step explanation:
the youngest elk=4
the second oldest elk=4+8=12
16+4+12=32
Mrs.Apollo has 34 kids in her class. 21 percent are girls while ___ percent are boys. What percent of boys are in the class?
Answer:
79%
Step-by-step explanation:
The total percentage of boys and girls are 100%
If there are 21% girls, the percentage of boys are 100 - 21 = 79
Answer:
79%
Step-by-step explanation:
let the total percentage be 100
100 - 21 = 79
PLEASE HELP THIS IS URGENT
Look at the diagram
Which equation can be used to solve x?
A. 2x = 140
B. 3x - 1 = 140
C. 3x + 139 = 180
D. 3x - 141 = 180
Answer:
A= 70
B=47
C= 41/3
D= 107
Step-by-step explanation:
There are x students in Mrs. Sproul's class, 4 fewer than twice as many as are in Mrs. Puccio's class. If there are y students in Mrs. Puccio's class, then what is the value of y in terms of x?
Answer:
y= (X x 2) - 4
Mrs.Puccio class = double of Mrs.Sproul's class - 4 students
Write an equation that gives the proportional relationship of the graph.
A) y = 30x
B) y = 5x
C) y = 6x
D) y = 1/5x
The solution is, choice B) [tex]y=5x[/tex] represent a proportional relationship.
What is proportional relationship?A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y\div x = k[/tex] or [tex]y = kx[/tex]
here, we have,
we know that,
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
so, we get,
choice A) [tex]y=30x[/tex]
Is a linear equation that passes through the origin
therefore,
The case A) represent a proportional relationship
choice B) [tex]y=5x[/tex]
Is a linear equation that passes through the origin
therefore
The case B) represent a proportional relationship
choice C) [tex]y =6x[/tex]
Is a linear equation but not passes through the origin
therefore
The case C) does not represent a proportional relationship
choice D) [tex]y = \dfrac{1}{5}x[/tex]
Is a linear equation but not passes through the origin
therefore
The choice D) does not represent a proportional relationship
Hence, The solution is, choice B) [tex]y=5x[/tex] represent a proportional relationship.
To learn more on proportional relationship click:
https://brainly.com/question/7851854
The points (0, 0), (–3, 3), and (0, 6) are three vertices of a square. What are the coordinates of the fourth vertex of the square?
PLEASE ANSWER QUICKLY
Answer:
(3,3)
Step-by-step explanation:
and you basically flip the (-3,3) cordnet
Division problem: Jojo has 2 days to get ready for a trip to Washington State. She has 200 items to bring and 4 suitcases. How many items should she put into each suitcase?
Answer:
50 in each case
Step-by-step explanation:
200÷4=50
50 items in each case
help me math is soo hard
Answer:
x=14
Step-by-step explanation:
80+58=138
180-138=42
42÷3=x
14=x
answer: x=14
Answer:
answer=x=14
Step-by-step explanation:
The sum of three intereror angles is equal to =180
now; 3×14=42
so;80.+58=138
138+(3×14)
138+42 =180
Rewrite as a quotient of two common logarithms. Write your answer in simplest form. [tex]log_ {9} 7=[/tex]
I WILL GIVE BRAINLIEST IF U ANSWER THIS CORRECTLY
PLS HELP MEE!!!
Answer:
B and D
Step-by-step explanation:
imagine that one variable is -3, and the other is -2. what will equal -5. -3+2 does not, so it isnt A, -2-3 does. so it is B. 3-2 doesnt, so it isnt C, -3+-2 does, so it is also D. 2+3 doesnt, so it isnt E.
Will give 50 points answer all
Select the expressions that represent a correct solution to the equation 6(x+4)=20.
Select all that apply.
HELP MEEEEEEEEEEEEEEEE
1. Solve the equation
(-4)+(-9)
2.Which symbol correctly completes the statement?
-7 + 2 ___ 3 + (-9)
>
<
=
3. Solve the equation.
5+(-12)
4 Solve the equation
-7+7
5. solve the equation
-3+8
Answer:1 -13
2. <
3. -7
4. 0
5. 5
Step-by-step explanation: can i get brainliest i tried very hard
Percentage
16% of 350
Answer:
56
Step-by-step explanation:
here's the explanation
0.16×350
What is the product of 5 1/2 and 3 3/4?
A. 22 3/8
B. 21 1/4
C. 20 5/8
D. 15 3/8
C:
5 1/2 * 3 3/4 = 165/
8
= 20 5/
8
= 20.625
Conversion a mixed number 5 1/
2
to a improper fraction: 5 1/2 = 5 1/
2
= 5 · 2 + 1/
2
= 10 + 1/
2
= 11/
2
To find a new numerator:
a) Multiply the whole number 5 by the denominator 2. Whole number 5 equally 5 * 2/
2
= 10/
2
b) Add the answer from the previous step 10 to the numerator 1. New numerator is 10 + 1 = 11
c) Write a previous answer (new numerator 11) over the denominator 2.
Five and one half is eleven halfs.
Conversion a mixed number 3 3/
4
to a improper fraction: 3 3/4 = 3 3/
4
= 3 · 4 + 3/
4
= 12 + 3/
4
= 15/
4
To find a new numerator:
a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally 3 * 4/
4
= 12/
4
b) Add the answer from the previous step 12 to the numerator 3. New numerator is 12 + 3 = 15
c) Write a previous answer (new numerator 15) over the denominator 4.
Three and three quarters is fifteen quarters.
Multiple: 11/
2
* 15/
4
= 11 · 15/
2 · 4
= 165/
8
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(165, 8) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - eleven halfs multiplied by fifteen quarters is one hundred sixty-five eighths.
Daksha would like to save at least $500 in 12 months. What is the minimum amount she must save each month in order to save at least $500?
would you write an inequality or an equation?
Answer: what the minimum amount she must save each month in order to save at least $500 is over $200 dollars
Step-by-step explanation: Because if you would have to add the 500 and the 12
Rima’s age is 10 years less than twice her father’s age.What is the difference bettwen their ages?
Grade#7
Answer:
x-10
Step-by-step explanation:
let her father be x
then
rima's age is 2x-10
how do i do this? pls help
Answer:
The locus of the points within rectangle ABCD that are closer to A than to B and closer to D than to C.
May be the answer
Hope this helps
Just studied Loci in school recently
Due soon, pls help, will give brainly and points, useless get reported.
Answer:
A. 100.48
Step-by-step explanation:
2(pi) 16
c= 2pi(radius)
ANSWER ALL
30 POINTS
(also tell me how u got the answer bc i need to show my work)
If line segment AB is dilated with a scale factor 0.75, what is the length of the new line segment A'B'?
A) 15 cm
B) 7.5 cm
C) 12.5 cm
D) 5 cm
geometry question atatched
In the given triangle, the measure of angle C is 32°
Calculating the measure of anglesFrom the question, we are to determine the value of angle C.
Let half of ∠IAB = a
and half of ∠IBA = b
Then,
a + b + 106° = 180° (Sum of angles in a triangle)
a + b = 74°
Also,
2a + 2b + ∠C = 180° (Sum of angles in a triangle)
2(a + b) + ∠C = 180°
2(74°) + ∠C = 180°
148° + ∠C = 180°
Subtract 148° from both sides
148° - 148° + ∠C = 180° - 148°
∠C = 32°
Hence, the measure of C is 32°
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Please help!!!!! 40 points!
Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices.
Josiah’s Music
Sample 1
Sample 2
R & B
5
R & B
4
Pop
4
Pop
3
Classical
3
Classical
5
Jazz
2
Jazz
4
Rock
6
Rock
4
Josiah’s work:
StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x.
He should have found the average of the number of rock songs by averaging 4 and 6 to get 5.
He did not multiply the numerator and denominator by the correct number to equal 1,500.
His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion.
He can only solve the proportion by multiplying the numerator and denominator by a common multiple.
He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.
Answer:
Step-by-step explanation:d
Follow the steps below for the following set of data. In your final answer include all of your calculations and in steps 1, 2, and 3.
8, 3, 5, 5, 4, 7
Answer: 3,4,5,5,7,8
range=3
Step-by-step explanation:
please help math sucks
Answer:
w<13
Step-by-step explanation:
w<13 means that 13 is bigger than w and w is smaller than 13