Answer:
Georgette did not complete the factorization; 9 is a composite number.
Step-by-step explanation:
9 can be broken down to 3x3
So it the prime factorization of 72 should be 2x2x2x3x3
Georgette’s error is Georgette should have expressed 8 as 4 × 4, not 2 × 4.
The correct option is D.
The correct prime factorization of 72 is 2³ × 3², which means it can be expressed as the product of prime numbers raised to their respective exponents.
Analyzing the factor tree provided by Georgette, we can see that she made an error when branching from 72 to 8 and 9.
The prime factorization of 8 should be 2³, not 2 × 4, and the prime factorization of 9 should be 3², not 2 × 2.
Therefore, Georgette's error is that she have expressed 8 as 2³ × 1 or 4 × 2, not as 2 × 4.
The correct factor tree for 72 would be:
72
/ \
2 36
/ \
2 18
/ \
2 9
/ \
3 3
So, the prime factorization of 72 is 2³ × 3².
Learn more about Prime Factorization here:
https://brainly.com/question/29763746
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Simplify:
4 (1/2 + 5/4) +-5=
A.2
B.3
C.4
D.5
Answer:
2
Step-by-step explanation:
First do whats in the parenthesess
it will look like this
2+5-5=2 the 5's cancel eachother out so your left with 2
What percent of 101 is 16.16?
Answer:
16.16 is 16% of 101
Step-by-step explanation:
Hope this helps!
suppose that Y varies directly with X andY equals 12 when X equals -2 what is X when Y equals -6
Answer:
[tex]x=1[/tex]
Step-by-step explanation:
A direct variation equation has the following format:
[tex]y=kx[/tex]
Where k is a constant.
We know that y is 12 when x is -2. Thus, substitute:
[tex]12=-2k[/tex]
Divide both sides by -2:
[tex]k=-6[/tex]
So, our direct variation equations is:
[tex]y=-6x[/tex]
To find what x is when y equals -6, substitute in -6 for y:
[tex]-6=-6x[/tex]
Divide both sides by -6:
[tex]x=1[/tex]
So, our answer is 1 :)
Solve -2.4x + 3.8x- x
Answer:
Step-by-step explanation:
1.4x - x = 0.4x
Solve for t.
Speed (Velocity)
V = d/t
Answer:
t = d/V
Step-by-step explanation:
V = d/t
Multiply each side by t
Vt = d/t *t
Vt = d
Divide each side by V
Vt/V = d/V
t = d/V
Plzz answer quickly
Answer:
For this question if you need proper help in video format, tthen watch the video of MIND YOUR DECISIONS
please help me i rlly need it, thank you
• Answer:
x = 2
• Step-by-step explanation:
AB = AC/2 = 16/2 = 8
AB = 2x + 4
8 = 2x + 4
2x = 8 - 4
2x = 4
x = 4 : 2
x = 2
Pls helppppppppppp will mark brainliest
Answer:
Hence, the distance of a point P(x,y) from the origin is √(x)^2 + (y)^2.
Mitchell works at the local movie theater. He currently has $395 in his
savings account and he plans to deposit $30 in his account every week.
Define the variable and write an algebraic expression to show how much
money Mitchell will have in his account after any number of weeks.
Answer: 395+30x
Step-by-step explanation:
Given : Mitchell has $395 now.
He saved $30 each week.
Let x be a variable that represents the number of weeks.
Since, Total amount = Current money + (Money save each week ) (Number of weeks)
Then, Total amount = (395 ) + (30)(x)
= 395+30x
Hence, the required algebraic expression= 395+30x
An algebraic expression is a mathematical expression consisting a variable (a,b,c,..) which can be manipulated .
ax+b=c for x how do I solve this can someone help explain it to me.
Answer:
x= c - b / A
please look at the step by step explanation to better understand :)
Step-by-step explanation:
subtract b from the left side and right side
so you are left with Ax = c - b
divide what number c - b is by A
and you are left with x= c - b / A
write a step by step proof. the givens are c is the midpoint of segment AB, and point c measures 10cm. prove AC=5cm plz help will mark brainliest
Answer:
Step-by-step explanation:
GIRL! You should add diagrams to these types of questions. It would really help
That 10cm does not mean point C is 10cm. It means the line AB is 10 cm in total.
And since point C is the midpoint, which means that point C cuts the line AB in half, that makes AC = 5cm
Answer:
the answer is fjdixekd
look at image. reflection across y= -1
Answer:
Y 2,1 X 0,1 W 0,4 Z 3,5 will be the new reflected points
Step-by-step explanation:
10² - (-10)² - (-10)²
Answer:
-100 (10*10)- (-10*-10) - (10*10)
Step-by-step explanation:
What is the base....
Answer:
Step-by-step explanation:
-5x the base
Mr. Sloan is purchasing 2.3 pounds of trail mix that costs $6.25 per pound. How much change will Mrs. Sloan receive if she gives the cashier $20. do it on rational numbers
Answer:
5.55
Step-by-step explanation:
The cost of the 3.4 pounds of trail mix is:
STEP 1:
multiply number of pounds purchased by price per pound
= 3.4 pounds * $4.25 per pound
= $14.45 total cost
STEP 2:
subtract total cost of purchase (step 1) from amount she gave cashier ($20.00)
= $20.00 - $14.45
= $5.55 amount received back from cashier
find the equation perpendicular to the line y=2x-2 and passing through (-3 5)
Answer:
wow sry this is a tuff one :(
Step-by-step explanation:
help help help help help help
Answer:
a) (-2, -1)
b) (-3, 0) and (-1, 0)
Step-by-step explanation:
The turning point is the same as the vertex of the graph.
The vertex would be (-2, -1).
The zeros of the equation would be where the graph crosses the x-axis when y = 0.
The roots would be (-3, 0) and (-1, 0).
Solve for t 4/3 = t/7
Answer:
t=28/3
Step-by-step explanation:
Id this helped feel free to send thanks and give brainliest so I can continue to help people around the brainly community.
solve for each equation and justify EACH step.
3x+4=31
3(2x+1)
solve 1/2(16x-8)=2(x+16)
Answer:
Step-by-step explanation:
3x+4=31
subtract 4 on both sides That gives you
3x=27
now divide 27 by 3
that gives you X=9
———————————————-
3(2x+1)
you distribute 3 into the parentheses
so 3 x 2x is 6x 3x1 is 3
so its 6x+3
————————————————
1/2(16x-8)=2(x+16)
first you distribute 1/2 into the parentheses on the left side and distribute 2 into the parentheses on the right
which gives you 8x-4=2x+32
then you combine like terms 8x+2x is 10x and -4+32 is 28
so you answer to this one is 10x+28
3 3/4 + 4 1/8 . I need it wrote down so i can copy it
Answer:
7 7/8
Step-by-step explanation:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
63/8
Decimal Form:
7.875
Mixed Number Form:
7 7/8
Ms. Ciervo is making cupcakes. She has 9 2/3 teaspoons of vanilla. Each cupcake needs to have -1/3 teaspoon of vanilla. How many cupcakes can she make?
Answer:
The number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla is 29.
Step-by-step explanation:
The information provided is:
Ms. Ciervo has [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla. Each cupcake needs to have [tex]\frac{1}{3}[/tex] teaspoon of vanilla.Compute the number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla as follows:
Amount of vanilla required for one cupcake = [tex]\frac{1}{3}[/tex] teaspoons
Total amount of vanilla available [tex]9 \frac{2}{3}[/tex] teaspoons.
[tex]\text{number of cupcakes}=\frac{\text{total amount}}{\text{amount required for 1 cupcake}}[/tex]
[tex]=\frac{9\frac{2}{3}}{\frac{1}{3}}\\\\=\frac{29}{3}\div\frac{1}{3}\\\\=\frac{29}{3}\times \frac{3}{1}\\\\=29[/tex]
Thus, the number cupcakes Ms. Ciervo can make using the [tex]9 \frac{2}{3}[/tex] teaspoons of vanilla is 29.
Pls help if you know
Answer:
C
Step-by-step explanation:
A: (16 - 12)² = 4² = 16 (Incorrect)
B: -|-4| = -(4) = -4 (Incorrect
C: (96 ÷ 8) - 2³ = 12 - 8 = 4 (Correct)
use this information for items 1-3. Aaron has $65 to rent a bike in the city . It costs $15 per hour to rent a bike. The additional fee for a helmet is $3 for the entire ride
Answer:
You will ride for 4 hrs 8minStep-by-step explanation:
What we are expected to solve for that the problem did not expressly state is most likely the number of hours that you could ride for an amount of $65.
firstly we need to model the inequality (equation) for this scenario.
the constant fee= $3 additional fee for helmet
[tex]3+15n\leq 65\\\\[/tex]
We can now solve for n since the above inequality satisfies the condition presented in the problem statement.
[tex]3+15n\leq 65\\\\15n\leq65-3\\\\ 15n\leq 62[/tex]
Divide both sides by 15 to find n
[tex]n\leq 62/15\\\\n\leq 4hrs -8min[/tex]
Given f(x),=19x+10find f(4).
A line that passes through the points (2,1) and 6,9
Step-by-step explanation:
this is the ans in my view
Aliyah wants to estimate the value of the quotient of 5.68 x 10- and 8.54 x 10 Which statement about the value is true?
The value will be greater than 1 because (-3)+(-9) is a positive number. A number in scientific notation with a
positive exponent has a value greater than 1.
The value will be greater than 1 because (-3)-(-9) - 6. A number in scientific notation with a positive exponent is
greater than 1.
The value will be less than 1 because 5.88 - 8.54 is less than 1. The negative exponents will make it even smaller.
The number will be less than 1 because 5.68 x 10- is a very small number and division always makes the size of a
number smaller.
Answer:
B-The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.
Step-by-step explanation:
I hope I was helpful :)
(3x-2)(2x+4) using the box method of multiplication
Answer:
6x²-8x-8
Step-by-step explanation:
[tex](3x - 2)(2x + 4)[/tex]
[tex]3x \times 2x = 6 {x}^{2} \\ 3x \times 4 = 12x \\ - 2 \times 2x = - 4x \\ - 2 \times 4 = - 8[/tex]
[tex]6 {x}^{2} + 12x - 4x - 8 \\ 6 {x}^{2} + 8x - 8[/tex]
Answer:
(3x-2)(2x+4)
= 6x^2+8x-8
Step-by-step explanation:
To rule How to find f(7) ?
Solve for x: -1 < x + 3 < 5
Work Shown:
-1 < x+3 < 5
-1-3 < x+3-3 < 5-3 ... subtract 3 from all sides
-4 < x < 2
Help asap plsssss:(((
Answer:
84
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
Given
(- 6)(- 2x - 4y) , substitute x = 1, y = 3 into the expression
= (- 6)(- 2(1) - 4(3) )
= (- 6)(- 2 - 12)
= (- 6)(- 14)
= - 6 × - 14
= 84