The simplest form of (4a + 8b) / 12 is (a + 2b) / 3.
Given is an expression (4a + 8b) / 12, we need to simplify it in simpler form,
To simplify the expression (4a + 8b) / 12, you can divide both the numerator and the denominator by their greatest common divisor (GCD) to reduce the fraction to its simplest form.
First, let's find the GCD of 4 and 12. The factors of 4 are 1, 2, and 4, and the factors of 12 are 1, 2, 3, 4, 6, and 12.
The largest number that appears in both sets of factors is 4, so the GCD of 4 and 12 is 4.
Dividing both the numerator and the denominator by 4, we get:
(4a + 8b) / 12 = (4(a + 2b)) / (4 x 3)
Canceling out the common factor of 4:
(4(a + 2b)) / (4 x 3) = (a + 2b) / 3
Therefore, the simplest form of (4a + 8b) / 12 is (a + 2b) / 3.
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Complete question =
What is the simplest form of 4a+8b over 12
Gustavo is the league's home run leader. The probabilities for his total number of home runs for the season are as follows:
\text{P(0-19 home runs}) = \dfrac14P(0-19 home runs)=
4
1
start text, P, left parenthesis, 0, negative, 19, space, h, o, m, e, space, r, u, n, s, end text, right parenthesis, equals, start fraction, 1, divided by, 4, end fraction
\text{P(20-39 home runs}) = 45\%P(20-39 home runs)=45%start text, P, left parenthesis, 20, negative, 39, space, h, o, m, e, space, r, u, n, s, end text, right parenthesis, equals, 45, percent
\text{P(40+ home runs}) = 0.3P(40+ home runs)=0.3start text, P, left parenthesis, 40, plus, space, h, o, m, e, space, r, u, n, s, end text, right parenthesis, equals, 0, point, 3
Put the following events in order from least to most likely.
Answer:
dont copy and paste i cant read the question
Step-by-step explanation:
The events in order from least to most likely are:
P(0-19 home runs) < P(40+ home runs) < P(20-39 home runs)
To put the events in order from least to most likely, we need to compare their probabilities:
Let's reorder the events based on their probabilities:
P(40+ home runs) = 0.3 (30%)
P(20-39 home runs) = 45% (0.45)
P(0-19 home runs) = 1/4 = 0.25 (25%)
So, the correct order from least to most likely is:
P(0-19 home runs) < P(40+ home runs) < P(20-39 home runs)
P(40+ home runs) = 0.3 (30%)
P(20-39 home runs) = 45% (0.45)
P(0-19 home runs) = 1/4 = 0.25 (25%)
So, the events in order from least to most likely are:
P(0-19 home runs) < P(40+ home runs) < P(20-39 home runs)
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Chloe has been offered a new job in the women’s shoe department at Macy’s. She has two salary options. She can receive a salary of $600 per week (Option 1), or receive $350 per week plus 8% of her weekly sales (Option 2).
If Chloe has $3,200 in weekly sales, she will earn more money with
If x represents Chloe’s weekly sales, the following equation can be used to determine which option will benefit her the most:
If x represents Chloe’s weekly sales, she will earn more money with Option 1 when
Please help with this I don't understand
Answer:
The square would be 4m of opposite sides and 6m of opposite sides or 12 cubes long on opposite sides and 8 cubes high on opposite sides
Step-by-step explanation:
Since we are trying to make the base of the hut, we have to move the square so it's 4m(8 cubes) by 6m(12 cubes) so we have the square as 12 cubes on two opposite sides and 8 cubes on two opposite sides
I hope this helps
Pls help me whoo ever answers ill make u brainiest
Part one: Identification
This assessment will cover the 3 types of linear equations we learned in Chapter 5. Start by identifying the types of equations and their components.
Answer:
y = mx + b is slope intercept form
Y - y1 = m(x - x1) is slope point form
Ax + Bv = C is standard form
Step-by-step explanation:
I can't believe you do this stuff in middle school, I only started learning this in 10th grade lol
help me pls.
-hummus
Answer:
minimum number-0
mean- 10.83
median-10
Step-by-step explanation:
Answer:
The minimum number is 0,
The mean is 11,
and the median is 10
Step-by-step explanation:
The minimum number is the smallest number in a data set, so that's 0.
The mean is the average of all the numbers, so if you add all the numbers in a data set together and then divide by the amount of numbers there are, you get the mean. 10 + 25 + 0 + 5 + 10 + 15 is 65, and 65 divided by 6 is 11. [Rounded to the nearest whole number.]
The median is the number that is right in the middle of the data set, so 10 is right in between 0 and 25.
DUE IN 30 MINUTES HELP NEEDED ASAP!!!!
Rectangle A has measurements 6 centimeters by 4 centimeters. Rectangle B has measurements 8 centimeters by 1 centimeter. Rectangle A has a perimeter of centimeters and an area of square centimeters. Rectangle B has a perimeter of centimeters and an area of square centimeters.
Rectangle A has a perimeter of 20 cm and an area of 24 cm^2
Rectangle B has a perimeter of 18 cm and an area of 8 cm^2
Answer:here is the answers Rectangle A has a perimeter of 20 cm and an area of 24 cm^2
Rectangle B has a perimeter of 18 cm and an area of 8 cm^2
Step-by-step explanation:
Find the circumference of each circle D =6ft
1. 28.26
2. 113.04
3. 18.84
4.37.68
5.9.42
Answer:
3 = 18.84
d = 6ft
Step-by-step explanation:
3.14 x 6 = 18.84
PLEASE HELP ME I NEED THIS IN 15 MINUTES!!!
A shipping box in the shape of a rectangular prism has a volume of 18x^3+5x^2-2x. what are three expressions that can represent possible dimensions of the shipping box?
have THREE expressions plss <33
Answer:
4” wide 2” height and 12”
Step-by-step explanation:
Five times the difference of a number and 12 minus 4 times the same number is – 36. What is the equation?
Answer:
(5x - 12) - 4x = -36
Step-by-step explanation:
Answer:
(5x - 12) - 4x = -36
Step-by-step explanation:
What is the range of the function f(x) = 2 – 2 when the domain is {0, 2, 4}? O {-1, 2, 14} {3, 6, 8} {-2, 2, 6) All real numbers
Answer:
F = 0
Step-by-step explanation:
F(x) = 2 - 2
fx/3 = 0/x
f=0
I tried buh then ii forgot how to find the answer
Answer:
603.19
Step-by-step explanation:
can i have brainliest
Answer: 150.8
Step-by-step explanation: Explanation below.
please help asap! i just need the answers. brainliest to first CORRECT answer!! thanks!
Answer:
a. 8,953.5 seconds
b. 14,400 seconds (check note)
Step-by-step explanation:
a.
y=-4x
y=-35814 (negative because this is underwater)
-35814=-4x
8953.5
The model suggests it would take 8,953.5 seconds for DeepSea Challenger to reach the bottom (2.487083333 hours, or about 2 hours and 30 minutes).
b.
y=4x
x=3600 (positive because the vessel is rising)
4(3600)
14400
It took 14,400 seconds for the DeepSea Challenger to ascend to the surface.
[also note: I'm not sure if the second question is asking for how many seconds it takes to ascend to the surface with reference to the 4 seconds in the previous question (which is how I answered part b) or if it's asking how many seconds 1 hour is, and in that case. the answer is 3,600 seconds. I hope this helps and sorry if it's unclear!]
Answer:
a. 8,953.5 seconds
b. 14,400 seconds
Step-by-step explanation:
Fanny drove at an average speed of 80 km/h for 3/4 hour and then at 55 km/h for 1 1/5 hours. What was the total distance of her journey?
Please include the units after the answer!!
can someone help what is the unknown number in sequence 2 in the chart
Help me answer this question asap
Answer:
Oh hey ;)
Step-by-step explanation:
Consider the possible cross-sections of a square pyramid, a rectangular pyramid, and a cube.
Which of the following statements are true?
Choose both answers.
Geometry
Answer: B
Step-by-step explanation: B because if you slice the cross-section of a square pyramid parallel to its base, you would get a square. The same thing is true for the cube. A is not true because the triangles are not similar.
Answer:
b
Step-by-step explanation:
For school spirit day, 11.875% of your class wears orange shirts, 5/8 of your class wears blue shirts, 0.15625 of your class wears white shirts, and the rest of your class wears gold shirts. Order the portions of shirts of each color from least to greatest.
Thanks,
If someone can answer this in the next 20 mins that would be gratefully appreciated I have a quiz tomorrow and don't understand this question.
Answer:
Gold, Orange, White, Blue
Step-by-step explanation:
NO LINKS OR I WILL REPORT
NEED ASAP
WILL MARK BRAINLIEST
AND NO UNESSECARY ANSWERS OR I WILL REPORT
Answer:
3. he would have saved 0.07 dollars per gallon
4. she used 2.5 meters per bow
help me please no links
Answer:
the answer is 4
Step-by-step explanation:
what's 9+10?
if you know you know
Answer:
21
Step-by-step explanation:
duh.................
Answer if u hate math
Answer:
45
Step-by-step explanation:
the middle line is at 45
In science class, Matt tried to find the mass of a penny. A penny is known to have a mass of 2.5 g. Matt overestimated the weight of the penny and had a percent error of 4%. How much did Matt think the penny weighed?
Answer:100??
Step-by-step explanation:
Plz help! Giving brainliest to a complete and correct answer. Absurd answers will be reported.
Answer:
Use absolute difference
Step-by-step explanation:
Given
The given parameters can be represented as:
[tex]Expense > Income[/tex]
[tex]Income - Expense< 0[/tex]
Required
Eliminate negative difference
To eliminate negative difference, Sara has to make use of absolute difference when calculating the difference between her income and expense.
Take for instance:
[tex]Income = 10[/tex]
[tex]Expense = 12[/tex]
The difference between both is:
[tex]Income - Expense = 10 - 12[/tex]
[tex]Income - Expense = -2[/tex]
But if she uses absolute difference, the result will be:
[tex]|Income - Expense| = |10 - 12|[/tex]
[tex]|Income - Expense| = |-2|[/tex]
[tex]|Income - Expense| = 2[/tex]
how many triangles can be made from 4 cm, 5 cm, 50º
how many can be made with 3 given angles
Answer:
Angle 1: 65°
Angle 2: 65°
Angle 3: 50°
Step-by-step explanation:
The sum of 3 angles in a triangle should always be 180°. If it is not 180° all together then it isn't a triangle. So I did 180-50=130 and 130÷2=65 so I chose 65°
how many vertices AND faces does this shape have?
Answer:
this is irregular shape it has four vertix and two faces
The number of vertices and faces this shape have is 4 and 4.
What are vertices, faces and edges?Faces are planar mathematical objects. Like a triangle, a rectangle etc. Edges are those line segments, which are on the edge of the faces (of some object considered).
Vertices are points of intersections of different edges.
We are given that;
The figure
Now,
Number of vertices= 3+1
=4
Number of faces= 3+1
=4
Therefore, by vertices the answer will be 4 and 4.
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What is the mean in statistics? HELP!
Answer:
add all your data and divide by n.
Step-by-step explanation:
example: 1,2,3 1+2+3=6. 6/3=2 the mean is 2.
Answer:
The mean is the average or the most common value in a collection of numbers. In statistics, it is a measure of central tendency of a probability distribution along median and mode. It is also referred to as an expected value.
Step-by-step explanation:
Mean is an essential concept in mathematics and statistics. The mean is the average or the most common value in a collection of numbers.
How to calculate mean?
There are different ways of measuring the central tendency of a set of values. There are multiple ways to calculate the mean. Here are the two most popular ones:
Arithmetic mean is the total of the sum of all values in a collection of numbers divided by the number of numbers in a collection. It is calculated in the following way:
PLEASE HELP VERY CONFUSED ON WHERE THE DOTS ARE.
Answer:
(3,3) ( 1,2) (3,1) (-2,-2) (-2 3)
Step-by-step explanation:
have a good day
Step-by-step explanation:
I learned this trick in 4th grade to run and then jump for positives and negatives in the top 2 boxes they do have names I just can't remember them. Sorry if my writings sloppy its hard to do it on a computer.
Please ignore the question in the picture.
2. The school is going to put grass on both semicircles of the field, how much grass will they need to cover the entire circle?