Manuel created a factor tree and wrote the prime factorization of 60 shown below.
A factor tree of 60. 60 branches to 4 and 15. 15 branches to 3 and 5. The equation is 60 = 3 times 4 times 5.
What is Manuel’s error?
He did not include 15 in the prime factorization.
He did not find the prime factors of 4.
He should have started the factor tree with 2 times 30.
He should not have found the factors of 15.
Answer:
The second one or B- "He did not find the prime factors of 4."
Step-by-step explanation:
I got it right on Edge2020
Answer:
B
Step-by-step explanation:
A square and a rectangle have equal
pieremeter the length of a ste of the
square is 4x-1 the length of the
rectangle is 2x + 2 and the width is
2x Write and solve an equation to find x
The value of x is 1 unit
• In Mathematics, rectangle and square are both four sided polygon, having all the internal angles equal to 90.The opposite sides of the rectangle are equal in length whereas in square all the sides are same which makes rectangle different from square.
• Area of rectangle is the product of length and breadth of rectangle. Perimeter of rectangle is twice the sum of its length and breadth. Area of square is side * side and perimeter of square is 4* side.
• Area of rectangle = l*b
Perimeter of rectangle = 2(l+b)
• Area of square = side * side
Perimeter of square = 4 * side
We are given that perimeter of square and rectangle is same and the side of square is 4x-1 and length of rectangle is 2x+2 and width of rectangle is 2x.
Perimeter of Square = Perimeter of rectangle
4 * (4x-1) = 2(4x+2)
16x -4 = 8x + 4
8x = 8
x = 1
The value of x is 1
Side of square = 4 – 1 = 3
Length of rectangle = 4
Breadth of rectangle = 2
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The local newspaper has letters to the editor from 30 people. If this nunber represents 5% of all of the
newspaper's readers, how many readers does the newspaper have?
The newspaper has___readers.
Answer:
600 readers
Step-by-step explanation:
just do 100/5=20
and then 30x20=600 readers
1.) A tower casts a shadow that is 60 feet long when the angle
of elevation of the sun is 65". How tall is the tower?
Answer:
128.67 ft
Step-by-step explanation:
Let the height of the tower be x feet.
[tex] \tan \: 65 \degree = \frac{x}{60} \\ \\ 2.1445069205 = \frac{x}{60} \\ \\ x = 2.1445069205 \times 60 \\ \\ x = 128.670415 \\ \\ x = 128.67 \: ft[/tex]
what is the value of the fourth term in a geometric sequence for which a1 = 3- amd r = 1/2
The value of the fourth term in a geometric sequence is 3/8.
How to calculate the sequence?We are meant to find the value of the fourth term in a geometric sequence for which a1 = 3- and r = 1/2.
It should be noted that the formula will be:
ar^n-1
where n = 4
r = 1/2
a = 3
Therefore, ar^n-1 = ar^(4-1) = ar³
= ar³.
= 3(1/2)³
= 3 × 1/8
= 3/8
Thw 4th term is 3/8.
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Help me with this it’s for geometry
Answer:
x = 4
Step-by-step explanation:
The transversal line is perpendicular to both the parallel lines. So ,
[tex]21x+6=90\\=>21x=90-6=84\\=>x = \frac{84}{21} = 4[/tex]
Help please math people
Answer:
29
Step-by-step explanation:
[tex]f(x)=4x+9[/tex]
Substitute x = 5 in the equation.
[tex]f(5)=4(5)+9\\f(5)=20+9\\f(5)=29[/tex]
Therefore, the answer is 29. The third choice.
Given that g(x) = −2x+20, find g(−3).
Answer: 26
Step-by-step explanation:
Okay, so... The new equation would be -2(-3)+20...
So follow the rule of PEMDAS, PEMDAS is;
Parentheses
Exponents
Multiplication
Division
Adding
and Subtracting
Since there are no equations in parentheses and no exponents, we start with multiplication. Which would be -2(-3). ANY parenthesized number beside another number means you must multiply them.
-2(-3) = 6 because a negative multiplied by a negative is a positive..
Now we have 6 + 20 which is 26, so 26 is your answer.
385 Students go on a field trip. There are 19 vehicles, some vans and some buses.
7 students can fit in a van, and 25 students can fit in a bus.
how many vans and buses were there ?
Answer:
14 buses and 5 vansStep-by-step explanation:
Let the number of buses be x and vans be y.
Equations as per given:
x + y = 1925x + 7y = 385Substitute y and solve for x the second equation:
y = 19 - x25x + 7(19 - x) = 38525x - 7x + 133 = 38518x = 385 - 13318x = 252x = 252/18x = 14Then finding y:
y = 19 - 14 = 5The answer is 14 buses and 5 vans
what is 11 = 12 - q ?
Answer:
1
Step-by-step explanation:
12 - 1 = 11
to solve for q all you had to do was 12-11=1 (switch 11 and one)
Hey there!
11 = 12 - q
-q + 12 = 11
SUBTRACT 12 to BOTH SIDES
-q + 12 - 12 = 11 - 12
SIMPLIFY IT!
-q = 11 - 12
-q = -1
-1q = -1
DIVIDE -1 to BOTH SIDES
-1q/-1 = -1/-1
SIMPLIFY IT!
q = -1/-1
q = 1
Therefore, your answer should be:
q = 1
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Hey, Whats The answer please explain your answer marking brainliest:D.....................................
Answer:
A) 21
Step-by-step explanation:
30% of 70 is 21
I’m not sure how to do this can anyone help!!!!!
9514 1404 393
Answer:
22/44
Step-by-step explanation:
The probability of black is the ratio of black cards to all cards. If the Ace and 2 are removed from each suit, there will be 11 of the 13 cards remaining. 2 suits are black, for a total of 2×11 = 22 black cards. Of course there are 4 suits altogether, for a total of 4×11 = 44 total cards. Then you have ...
P(black) = (black cards)/(total cards)
P(black) = 22/44
_____
You are expected to be familiar with the fact that a deck of 52 playing cards consists of 4 suits: diamonds, clubs, hearts, spades. Each suit has 13 cards, identified as Ace, 2, 3, ..., 10, Jack, Queen, King. The clubs and spades are black; the diamonds and hearts are red.
what is a polygon with only 3 sides
Answer:
triangle?duh ..........
Please help me, inequalities...............................
Answer:
x is greater than or equal to 1
Step-by-step explanation:
50 POINTS AND BRAINLIEST
pls help. polynomials solving equations
Answer:
+9or -9 is the answer ☺️ you
Answer:
y will be equal to 0, 9, or 1
(y=0, 9, 1)
how many lines of symmetry does the Eiffel Tower have?
Answer:
it has 2 lines of symmetry 1 going across it diagonally and 1 going straight through the middle.
Step-by-step explanation:
could someone please help me with this?
In the diagram below, BELED, AC BC, and m/A = 71°. Find
m/D.
Step
1
try m/
Angle
m/A = 71°
B
71°
=
O
Reason.
Select a Reason
C
Given
E
D
Answer:
Because AC = BC
=> ️ACB is a isosceles triangle at C
=> m<A = m<B = 71°
At triangle ABC
m<A + m<B + m<ACB = 180°
=> 71° + 71° + m<ACB = 180°
=> m<ACB = 38°
We have m<ACB and m<ECD are 2 opposite angle
=> m<ECD = m<ACB = 38°
At triangle ECD
m<ECD + m<E + m<D = 180°
=> 38° + 90° + m<D = 180°
=> m<D = 52°
Until the scale was changed in 1995, sat scores were based on a scale set many years ago. For math scores, the mean under the old scale in the early 1990s was 470 and the standard deviation was 110. In 2016, the mean was 510 and the standard deviation was 103. Gina took the sat in 1994 and scored 500. Her cousin colleen took the sat in 2016 and scored 530. Who did better on the exam, and how can you tell?.
Gina—her standardized score is higher than Colleen’s. The person who did better relative to their peers is Gina and this is because her standardized score is higher than Colleen
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
For Gina
Gina took the SAT in 1994 and scored 500 on the Math test.
For Math scores, the mean under the old scale in the 1990s was 470 and the standard deviation was 110.
x = 500
μ = 470
σ = 110
Hence, the z score is given as:
z = 500 - 470/110
z = 0.27273
Gina's z or standardized score is 0.27273
For Colleen
Her cousin Colleen took the SAT in 2016 and scored 530 on the Math test.
In 2016 the mean was 510 and the standard deviation was 103.
x = 530
μ = 510
σ = 103
Hence, the z score is given as:
z = 530 - 510/103
z = 0.19417
Colleen's z or standardized score is 0.19147
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nth term (math) asap please.
Answer:
Just do minus two, and you will get 27-100=-73
Step-by-step explanation:
Ill make you brainlist write in y=mx+b form
Answer:
y = [tex]\frac{2}{5}[/tex] x + 2
Step-by-step explanation:
Graph below.
Answer:
y = 2/5x + 2
Step-by-step explanation:
y = mx + b
First, we find out the slope. The slope is the change in y over the change in x.
The change in y is the second y-value subtracted from the first. The first y-value is 0 and the second is 2.
0 - 2 = -2
The change in x is the second x-value subtracted from the first. The first x-value is -5 and the second is 0.
-5 - 0 = -5
The slope is the change in y over the change in x.
-2/-5 = 2/5
y = 2/5x + b
b is the y-intercept, which is the value of y when x = 0.
When x = 0, y = 2 (0,2), so b = 2.
y = 2/5x + 2
Hope this helps!
Solve for x: 3x − 2 > 5x + 10. (5 points)
1) x > 6
2) x −6
Answer:
[tex]x<-6[/tex]
Step-by-step explanation:
[tex]3x-2>5x+10[/tex]
Add 2 to both sides
[tex]3x-2+2>5x+10+2[/tex]
Simplify
[tex]3x>5x+12[/tex]
Subtract [tex]5x[/tex] from both sides
[tex]3x-5x>5x+12-5x[/tex]
Simplify
[tex]-2x>12[/tex]
Multiply both sides by [tex]-1[/tex] (reverse the inequality)
[tex](-2x)(-1)<12(-1)[/tex]
Simplify
[tex]2x<-12[/tex]
Divide both sides by [tex]2[/tex]
[tex]\frac{2x}{2} <\frac{-12}{2}[/tex]
Divide the numbers: [tex]\frac{2}{2} =1[/tex]
[tex]=x[/tex]
Divide the numbers: [tex]\frac{-12}{2}[/tex]
Apply fraction rule: [tex]\frac{-a}{b} =-\frac{a}{b}[/tex]
[tex]=\frac{12}{2}[/tex]
Divide the numbers: [tex]\frac{12}{2} =6[/tex]
[tex]=-6[/tex]
[tex]x<-6[/tex]
Answer:
x < -6
Step-by-step explanation:
I just took the test. When you are dividing by a negative variable, flip the sign.
please help me What is the quotient when 2/3 is divided by 5/6
Answer:
You on? I’m bored! You- you on? I’m bored
Step-by-step explanation:
The distribution of random variable r has mean 10 and standard deviation 4. The distribution of random variable s has mean 7 and standard deviation 3. If r and s are independent, what are the mean and standard deviation of the distribution of r−s ?.
The random variable r has a mean μ = 10 and σ = 4. For the variable s, the μ = 7 and σ = 3. The mean of r-s will be obtained by arithmetic subtraction of the μ for r and a. The standard deviation isn't independent since it's obtained by square root of the variance of a distribution. The standard deviation will be obtained by obtained through the square root of the squared sum of σ.
μ (r-s) = μ(r) -μ(s)
μ (r-s) = 10 -7 = 3
σ (r) -σ(s) = √(σ (r))²+ (σ (s))²
σ (r) -σ(s) = √(4²+ 3²)
σ (r) -σ(s) = √(16+ 9)
σ (r) -σ(s) = √25 = 5
thus, the mean is 3 and the standard deviation is 5.
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simplify 5n+11n=16n PLEASE
Answer:
16n=16n or n=1
Step-by-step explanation:
5n + 11n = 16n add like terms
16n = 16n divide both sides by 16
n = 1
Answer:
16n = 16n ⇒ True
Explanation:
Add to simplify:
5n + 11n ⇒ equals 16n
So, the final answer is:
16n = 16n ⇒ True (16n does equal 16n)
Hope this helps! :)
Help ASAP I’ll give brainliest
Answer:
B
Step-by-step explanation:
—Math–x/4 < 7
–x < 28
x > –28
follow my account^^
Answer:
B. x > -28
Step-by-step explanation:
-x/4 < 7 =
Multiply both sides by 4
-x < 28
x > -28
280 ml as a percentage of 140 l.
Answer:
280 ml as a percentage of 140 l is 0.2%
Step-by-step explanation:
Note that 1 liter = 1000 millilitersTo find a percentage of a number divide the number by the total and multiply the quotient by 100%∵ There is an amount of 280 ml
∵ The total amount is 140 l
→ Change the liter to milliliters using the 1st point above
∴ 140 l = 140 × 1000 = 140000 ml
∴ 140 l = 140,000 ml
→ Now divide the amount by the total, then multiply the quotient by 100%
∵ 280 ÷ 140,000 = [tex]\frac{1}{500}[/tex]
∵ [tex]\frac{1}{500}[/tex] × 100% = 0.2%
∴ 280 ml as a percentage of 140 l is 0.2%
Find the gradient of the line segment between the points (-3,3) and (2,5).
Give your answer in its simplest form.
Answer:
2/5
Step-by-step explanation:
5-3/2-(-3)=2/5
4(x - 6) + 2 = 6x -2
solve the equation
Answer:
x=−10
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x−6)+2=6x−2
Step 1: Simplify both sides of the equation.
4(x−6)+2=6x−2
(4)(x)+(4)(−6)+2=6x+−2(Distribute)
4x+−24+2=6x+−2
(4x)+(−24+2)=6x−2(Combine Like Terms)
4x+−22=6x−2
4x−22=6x−2
Step 2: Subtract 6x from both sides.
4x−22−6x=6x−2−6x
−2x−22=−2
Step 3: Add 22 to both sides.
−2x−22+22=−2+22
−2x=20
Step 4: Divide both sides by -2.
−2x
−2
=
20
−2
x=−10
Answer:x=-10
Step-by-step explanation:4x-24+2=6x-2 -22+4x=6x-2 , 2x=-20 , x=-10