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Ryan wants to use the distributive property to rewrite the addition problem shown so that the numbers left in the parentheses have no common factor except 1. Write an equivalent expression that has numbers in parentheses whose only common factor is 1. (54 + 72)
By finding a common factor, we can rewrite the expression as:
54 + 72 = 18*(3 + 4)
How to rewrite the expression?The distributive property says that we can write:
C*(A + B) = C*A + C*B
In this case, we want to rewrite the expression:
54 + 72
So the first thing we need to find is a common factor between these two numbers.
We can rewrite these as:
54 = 2*3*3*3
72 = 2*2*2*3*3
The maximum common factor between these two nmbers is:
2*3*3 = 18
Then we can rewrite:
54 = 18*3
72 = 18*4
Then we can rewrite the expression as:
54 + 72 = 18*3 + 18*4 = 18*(3 + 4)
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how large a sample should be surveyed to estimate a true proportion of college students who do laundry once a week is within 3% with 95% confidence
1 +*
*+1
*+1
I + X
24
Answer:
i
Step-by-step explanation:
what a question answer to the questions
Write ✓ –28 in simplest radical form.
At Color City Art Supply, Regan is deciding which painting kit to buy. She typically uses acrylic paints but is thinking of starting a small watercolor project soon. The Deluxe Painter kit has 12 acrylic paints and 24 watercolor paints. The Traveling Painter kit has 8 acrylic paints and 16 watercolor paints. Do the kits have the same ratio of acrylic paints to watercolor paints?
Answer:
honestly I really don't know but I think it is 12 colers
Answer:
Yes,the kits have the same ratio of acrylic paints to watercolor paints.
Step-by-step explanation:
12:24
12÷12=1
24÷12=2
1:2
8:16
8÷8=1
16÷8=2
1:2
jona is b kg weight.her mother is seven kg less than three time than jona weight.how old is mother?
Answer: (3b - 7)kg
Step-by-step explanation:
Jona's weight = b kg
Since Jona's mother's weight is seven kg less than three time than jona's weight. This will be:
= (3 × b) - 7
= 3b - 7
Therefore, the mother is (3b - 7)kg
PLEASE HELP!! I NEED HELP WITH THIS PROBLEM ASAP!! IF YOU HELP I'LL GIVE U BRAINLIEST!
Let the amount Tom does = x
Then Larissa’s time would be 3x( 3 times the amount of Tom)
And Neal would also be 3x
The total of the 3 is 84 hours so as an equation you have:
X + 3x + 3x = 84
Combine like terms
7x = 84
Divide both sides by 7
X = 84/7
X = 12 hours
Tom = x, so Tom exercised for 12 hours.
O
(-∞0,00)
(-2,00)
A
{rr > -1}
{x|x < -2}
The domain of the function whose graph shown in diagram is x ≤ 1.
What is the domain of a function?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.
Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.
The domain of the function whose graph shown in diagram is x ≤ 1 as the value of x is less than 1.
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Eric picks 5/8 basket of strawberries. Kiki picks 1/5 basket of strawberries. Which answer is the most accurate estimate for how many more baskets of strawberries Eric picks than Kiki?
Eric picks 17/40 baskets of strawberries more than Kiki.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Eric picks 5/8 basket of strawberries.
And, Kiki picks 1/5 basket of strawberries.
Hence, After subtraction we get;
Number of baskets of strawberries more than Kiki = 5/8 - 1/5
= (25 - 8) / 40
= 17/40
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A bag contains 27 balls. The ratio of red to blue to yellow balls is 6:1:2 find how many red, blue and yellow balls there are
Answer:
18 red balls, 3 blue balls, 6 yellow balls.
Step-by-step explanation:
Ratios:a ratio helps us understand the relationship between two or more values (in this case three values). More specifically it tells us how much of one item is present, for every amount another item is also present.
In this example, the ratio of red:blue:yellow is given to be: 6:1:2, which means, for every 6 red balls, there is one blue ball and two yellow balls.
In some cases, a ratio can be simplified, similar to a fraction, by dividing each number by some common factor, but in this case, the ratio cannot be simplified any further.
Solving the Problem:Instead of directly trying to find how many red, yellow, or blue balls there are first, we can instead try solving for how many group of sixes are there in the total number of red balls. It helps to think of it this way, since for every group of six red balls there are, there is one blue ball and two yellow balls, which means we can just multiply this number by one and two to find the number of blue and yellow balls in their respective orders. For simplicity, let's assign this to the unknown "G".
Using this logic, we can set up the following equation:
[tex]6G+1G+2G=27[/tex]
For every group of six red balls... there is 6 red balls, 1 blue ball, and 2 yellow balls, adding all these together should give us the total number of balls, which was given to be 27 balls. Now we can just combine the stuff on the left into one term, by adding the coefficients.
[tex]9G=27[/tex]
Now divide by 9
[tex]G=3[/tex]
Now that we know the number of group of six red balls there are, we can multiply six, one, and two to find the red, blue, and yellow balls.
[tex]\text{red balls} = 3 * 6 = 18\\\\\text{blue balls} = 3 * 1 = 3\\\\\text{yellow balls} = 3 * 2 = 6[/tex]
and you can all this together, to double check, which gives us 27.
Answer:
18,3,6
Step-by-step explanation:
Given ,
A bag contains 27 ballsThe ratio of red to blue to yellow balls is 6:1:2To Find : The number of red,blue and yellow balls present in the bag
Let us take the variable as 'x' to represent the number of balls in the bag
When we Put the values in a equation,
6x+x+2x = 27
9x = 27
x = [tex]\frac{27}{9}[/tex]
x = 3
Hence the number of,
Red Balls = 6x = 6 x 3 = 18
Blue Balls = x = 3
Yellow Balls = 2x = 2 x 3 = 6
Use inequality notation to describe the set.
r is positive
Answer:
[tex]\text{c. }r>0[/tex]
Step-by-step explanation:
Define a positive number by all real numbers greater than, but not including, zero.
The inequality that represents this is [tex]\boxed{\text{c. }r>0}[/tex]
*Note: The sign [tex]\geq[/tex] represents including the value following it. However, we do not want to include zero in our set, hence [tex]r>0[/tex]
Answer:
r > 0
Step-by-step explanation:
a. r≤ 0 the equation is represented as r value is equal to zero or less than zero. So r can be zero or negative since its saying less than zero.
b. r≥ 0 the equation is represented as r value is greater than but equal to zero. So r can be zero and nonpositive.
c. r> 0 the equation is represented as r value greater than 0 which makes the answer positive.
d. r≤ ∞ the equation is represented as r value is equal to all positive integers but all negative integers.
e. r< ∞ the equation is represented as r value is all negative numbers since the inequality sign is less than
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Martin flips a standard coin three times, what is the probability it lands on tails all three times?
Answer:
thirty-three percent
Gabriel used the expression 2.5x + 2y – 2 to represent his total cost, and 28 – 2.5x – 2y to represent the amount of change he should receive from $30. What was Gabriel’s error?
i could use some help...i’m getting caught up but i had to start from a random point and don’t understand a bit!
Answer:
The entire expression should be subtracted from 30. To subtract the quantity, distribute the negative sign, which changes the signs on the terms. So, the –2 changes to positive and gets added to 30 instead of subtracted from it.
Step-by-step explanation:
Answer:
The entire expression should be subtracted from 30. To subtract the quantity, distribute the negative sign, which changes the signs on the terms. So, the –2 changes to positive and gets added to 30 instead of subtracted from it.
Step-by-step explanation:
SAMPLE
The product of 12 and k is 84. Solve for k.
Answer:
the k is 7
Step-by-step explanation:
12×2=24
12×3=36
12×4=48
12×5=60
12×6=72
12×7=84
Answer:
k = 7
Step-by-step explanation:
The product of 12 and k is 84 [tex]\rightarrow 12k=84[/tex].
[tex]12k = 84 \\ k = \dfrac{84}{12} \\ \boxed{k = 7}[/tex]
if june 13 was on monday what day will it be on june 13 math
Answer:
Monday??????
SteP-by-step explanation:
keep the rollllllllllllllllllllllll
Step-by-step explanation:
3 x 6 = 6 + 6 + 6
4 x 6 = 6 + 6 + 6 + 6
Answer:
18/24
hope this helps
have a good day :)
Step-by-step explanation:
−x2 + x + 6 = 2x + 8 The equation is represented by the system shown here. Linear-Quadratic Equation This system intersects in place(s).
Answer:
#1: This system intersects in A: ✔ zero place(s).
#2: Which statement is true? C: There are no solutions.
Step-by-step explanation:
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This System of Quadratic equation is intersects at zero place.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The quadratic equation is,
- x² + x + 6 = 2x + 8
Now,
The quadratic equation is;
- x² + x + 6 = 2x + 8
x² + 2x - x + 8 - 6 = 0
x² + x + 2 = 0
So, The solution of the quadratic equation is solve as;
x = - 1 ± √1² - 4 × 1 × 2 / 2 × 1
x = -1 ± √1 - 8 / 2
x = - 1 ± √-7 / 2
x = - 1 ± √7i / 2
Clearly, It has no real solution do, it cannot cut at any point.
Therefore,
This System of Quadratic equation is intersects at zero place.
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There are 10 counters in a bag: 3 are red, 2 are blue and 5 are green. The contents of the bag are shaken before Maxine randomly chooses one counter from the bag. What is the probability that she doesn't pick a red counter
Answer:
Step-by-step explanation: total number of counters = 10
number of red counters= 3
number of blue counters= 2
number of green counters = 5
p(of getting a red counter) =3/10
p(of not getting a red counter) = 1-3/10= 10-3/10=7/10
Which integer in the set has the greatest value (4, -4, -3, 3)?
A. 4
B. 3
C. -3
D. -4
Answer:
A. 4
Step-by-step explanation:
4 is a positive number which is larger to 3 and bigger than negative numbers.
Answer:
Step-by-step explanation:
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The height of a cone is twice the radius of its base.
What expression represents the volume of the cone, in
cubic units?
2/3лх^3
4/3лх^3
2лх^3
4лх^3
Answer: 2/3πx³
Step-by-step explanation:
Let the radius of the cone be represented by x.
Since the height of the cone is twice the radius of its base, the height will be: = 2x
Volume of a cone = 1/3πr²h
where,
r = x
h = 2x
Volume of a cone = 1/3πr²h
= 1/3 × π × x² × 2x
= 1/3 × π × x² × 2x
= 1/3 × π × 2x³
= 2/3πx³
Therefore, the correct answer is 2/3πx³.
What is the value of ſIg(5)) if f(x) = * +2 and g() = x2 – 27
Answer:
[tex]f(g(5)) = 0[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x+ 2[/tex]
[tex]g(x) = x^2 - 27[/tex]
Required
[tex]f(g(5))[/tex]
First, calculate [tex]f(g(x))[/tex]
We have:
[tex]f(x) = x+ 2[/tex]
Substitute [tex]g(x)[/tex] for x
[tex]f(g(x)) = g(x) + 2[/tex]
Substitute [tex]g(x) = x^2 - 27[/tex]
[tex]f(g(x)) = x^2 -27+ 2[/tex]
[tex]f(g(x)) = x^2 -25[/tex]
Substitute 5 for x
[tex]f(g(5)) = 5^2 -25[/tex]
[tex]f(g(5)) = 25 -25[/tex]
[tex]f(g(5)) = 0[/tex]
What fraction is equivalent to half
Answer:
1/2 is a half for example u can do 4/8 and it is equal to a half does not matter how big like 50/100 is also correct. Hope this helps :)
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The first equation in the second system is a multiple of second equation
is the first equation and the second equation in the second system is a multiple of both equation in the first system
What is simultaneous equations? Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. Each of these equations on their own could have infinite possible solutions.In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are soughtSimultaneous equations are two or more algebraic equations with the same unknown variables and the same value of the variables satisfies all such equations. This implies that the simultaneous equations have a common solution. Some of the examples of simultaneous equations are: 2x - 4y = 4, 5x + 8y = 3On occasions you will come across two or more unknown quantities, and two or more equations relating them. These are called simultaneous equations and when asked to solve them you must find values of the unknowns which satisfy all the given equations at the same time.To learn more about simultaneous equations refers to:
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A maple tree grows 1.5 feet each year. The table shows the yearly growth for a pibe tree
Comparing the maple tree and the pine tree growth information, the tree that grows faster is the pine tree.
How to find the tree that grow fasterA mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decay or exponential growth, and so on.
Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of 3 main parts
a = the starting or initial value
b = the base function
x = the exponents
Considering the given problem, b for maple is given as 1.5 and we calculate for pine using the data in the table. the equation is derived as follows
f(x) = a(b)ˣ
12 = a(b)¹
24 = a(b)²
dividing 24 = a(b)² by 12 = a(b)¹
b = 2
hence for pine tree the b is 2 which is greater than 1.5
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Line L has equation y = 2 - 3x
Write down the gradient of line L
answer asap!!!
Answer:
-3
Step-by-step explanation:
because if the l had an equation of 2-3x always the gradient goes with an x
Write the following expression in expanded form:9 to power of 3× 7to the power of 4
Exponential Expressions into Expanded Form into Answer:
[tex]9^{3}[/tex] = 9⋅9⋅9 = 729
[tex]7^{4}[/tex] = 7⋅7⋅7⋅7 = 2401
I hope this helps, have a good day!
Answer:
= 9⋅9⋅9 = 729
= 7⋅7⋅7⋅7 = 2401
Step-by-step explanation:
It's all in the picture & please help!
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b. NO LINKS/FILES
c. NO SILLY ANSWERS!
I will give out BRAINLIEST!
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Answer:
Step-by-step explanation:
hi!
area:
both 7 by 4 sides: (7*4)2=56
both 3 by 7 sides: (3*7)2=42
both 3 by 4 sides: (3*4)2=24
add em up=56+42+24=122
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A boat is purchased for $51,000 and has a resale value of $42,000 after a useful life of 6 years. Using a book value depreciation chart, calculate the number of years until the book value of the boat is $48,000.
The number of years until the book value of the boat is $ 48, 000, can be found to be 2 years
How to find the number of years ?To find the number of years till the book value of the boat is $ 48, 000, you first need to find the depreciation rate per year by the formula :
= ( Purchase price of boat - Resale value ) / Useful life
= ( 51, 000 - 42, 000 ) / 6
= 9, 000 / 6 years
= $ 1, 500 per year
In the first year, the value of the boat would depreciate to:
= 51, 000 - 1, 500
= $ 49, 500
In the second year, the value would depreciate to:
= 49, 500 - 1, 500
= $ 48, 000
It therefore takes 2 years for the book value to be $ 48, 000.
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A rectangle has a
length of (2x+1) ft and width of (3x-15) ft. What is the area of the rectangle?
Answer:
6x^2-27x-15
Step-by-step explanation:
Area of rectangle: length x width
Area=(2x+1)(3x-15)=6x^2-27x-15
help please I need help as soon as possible
Answer:
y = 1/2 x + 3.