The expression can be written as 24 (2+3).
What is Distributive Property?The distributive property is also known as the distributive law of multiplication over addition and subtraction. The name itself signifies that the operation includes dividing or distributing something. The distributive law is applicable to addition and subtraction. Let us learn more about the distributive property in this page.
The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC. This distributive law is also applicable to subtraction and is expressed as, A (B - C) = AB - AC. This means operand A is distributed between the other two operands.
Given:
48 + 72
Now, factorize the above into prime factors
48 = 2 x 2 x 2 x 2 x 3
and, 72 = 2 x 2 x 2 x 3 x 3
Now, rewriting
48 + 72
= 2 x 2 x 2 x 2 x 3 + 2 x 2 x 2 x 3 x 3
= 2 x 2 x 2 x 3 (2 + 3)
=24 (2+3)
Hence, the expression can be written as 24 (2+3).
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On Thursday, a restaurant serves iced tea to 40 of its 140 customers. What
percent of the customers order iced tea?
Answer:
28.6%
Step-by-step explanation:
Fraction: 40/140=2/7=0.2857
Converting it to percentage: 28.6%
Hope this helps!
Answer:
28.6%
Step-by-step explanation:
Try to found the wrong upper case I
I ll iiiiiIIIIIIllllll
hint 50-2=
put in comments plz
I seoursly took a photo of dat
someone help 6th grade math i will give brainliest
Answer:
The first on is 64.
The second one is -64.
The last one is 10,000.
Step-by-step explanation:
I hope this helps! :)
A line has the equation y = -1/2 + 3. A second line is parallel to the first. What is the slope of the parallel line?
Answer:
m = -1/2
Step-by-step explanation:
parallel lines always have the same slope
Which expression best estimates. -18 1/4 ÷ 2 2/3 A. 18÷3 B. -18÷3 C.-18÷(-3) D. 18÷(-3)
Answer:
the amswer is d hope this helps
The family built a house that has a length and width in a ratio of 5: 4, what is the length and width of the house if the total area of two identical floors is 160m2
I hope it will help u , please Brain -list the question
Step-by-step explanation:As given that
L:W=5:4
L/W=5/4
L=(5/4)W
hence we also know that
Area of rectangle= L*W
As given A=160m2
putt the value of A and L=(5/4)W in above equation ,
hence 160 = (5/4)W * W
W^2 = 160*4/5
W^2 = 32*4
W^2=128
taking square root
W= +_ 11.3
but length can't be negative so we take positive value of W
W=11.3 m
Now for L putt in above equation,
L=5/4 * 11.3 = 14.12 m
Which number is the smallest?
33/2, 555/3, 7/1000, 100, 50/1111, 150
A. 33/2
B. 555/3
C. 100
D. 50/1111
E. 7/1000
F. 150
5/3, 6/5, .9, 1, 1.3, 7/5
A. 5/3
B. 1.3
C. 7/5
D. .9
E. 6/5
F. 1
10.34, 500/50, 10.4, 1000/100, 2000/250, 4000/400
A. 4000/400
B. 500/50
C. 10.34
D. 1000/100
E. 2000/250
F. 10.4
Answer:
E D C are the answers for the questions
What do you notice about dividing numbers with the same base?
Answer:
it's the one all the way to the right
f(x) = 2x – 4/?
What are the domain and range
Answer:
domain
Step-by-step explanation:
range
2(x+1)= - 8x +12+ 10x -10
Answer:
all real numbers
Step-by-step explanation:
distribute the 2
2x+2=-8x+12+10x-10
combine like terms on each side
2x+2=2x+2
0=0
all real numbers
A) The probability distribution below is for the number of radios sold at Kisumu City Sound Store in a week. Radios(X) 0 1 2 3 4 5 P(X=x) 0.03 0.20 0.50 0.20 0.05 0.02 Determine: i. The expected weekly radio sales (3 Marks)
Answer:
2.1
Step-by-step explanation:
Given :
Radios(X):_0 ___ 1 ___2 ___ 3 ___4 ___5
P(X=x) : 0.03 0.20 0.50 0.20 0.05 0.02
The expected weekly radio sales :
Σ(X) * p(x) : (0*0.03) + (1*0.20) + (2*0.50) + (3*0.20) + (4*0.05) + (5* 0.02) = 2.1
Hence, expected weekly radio sale = 2.1
Which of the following examples have a constant rate of change?
You are making meatballs and roll out 30 meatballs then in a half hour and then another 30 meatballs in the next 20 minutes.
An electrician earns $50 the first hour plus $35 for every additional hour.
The number of bacteria triples every hour.
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Answer:
B/second option
Step-by-step explanation:
The first option is wrong because you make 30 meatballs in 30 mins but then 30 meatballs in 20 mins. If it was constant then in 20 mins you make less meatballs.
The last option is wrong because if bacteria triples, then that is exponential, not constant change.
Only the middle option makes sense. The rate of change is $35 for each hour!
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The example that has a constant rate of change is
An electrician earns $50 for the first hour plus $35 for every additional hour.
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x = 5 is an equation.
We have,
30 minutes = 30 meatballs
20 minutes = 30 meatballs
This is not a constant rate of change.
$35 for every additional hour.
This means,
1 hour = $35
This is a constant rate of change,
Bacteria triples every hour.
This is an exponential function.
Example:
Number of bacteria initially = 2
Number of bacteria after 1 hour = 3 x 2 = 6
Number of bacteria after 2 hours = 3 x 6 = 18
This is not a constant rate of change.
Thus,
An electrician earns $50 for the first hour plus $35 for every additional hour is a constant rate of change.
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What is the coefficient of y^3 in the expansion of (y+3) raised to the 4th power?
A. 1
B. 6
C. 4
D. 3
you are making sandwiches for a mountain hike.each sandwich uses 3 slices of bread,and you want to prepare 2 sandwiches for each person going on the hike. how many slices of bread will you need if if 6 people are going on the hike
Answer:
36
Step-by-step explanation:
3*2*6
Find the prime factor of the number 3825.
Answer:
the answer is 3×3×5×5×17=3825 use prime factorization
If is an isosceles triangle, with base AC, AB = 3x+2, BC = 7x-6, and AC = 10x – 10, find the value of x and the length of each side of the triangle.
Answer:
Step-by-step explanation:
If is an isosceles triangle, with base AC, AB = 3x+2, BC = 7x-6, and AC = 10x – 10, find the value of x and the length of each side of the triangle.
The sum of angles in a triangle = 180°
AB + BC + AC = 180°
3x + 2 + 7x - 6 + 10x - 10 = 180°
20x -14 = 180°
20x = 180° + 14
20x = 194
Solve -17 =
7 / 3 for x.
Find the component form of the resultant vector.
f = (10,5)
v = (-3,-10)
Find: -f +v
Answer:
(-f+v) = -13i-15j
Step-by-step explanation:
Given that,
Vector f = (10,5) = 10i+5j
Vector v = (-3,-10) = -3i-10j
We need to find (-f+v).
Let x = (-f+v)
Plug all the values,
x = [-(10i+5j) + -3i-10j]
= (-10i-3i)+(-5j-10j)
= -13i-15j
Hence, (-f+v) = -13i-15j
870 g of brass contains 40 percent zinic and the rest is copper.find the mass of zinic and copper in the alloy
Step-by-step explanation:
Mass of Zinc = 870g * (40/100) = 348g.
Mass of Copper = 870g - 348g = 522g.
Mass of zinc = 40/100*870 = 348
Mass of Copper = 60/100*870 = 522
Therefore, the mass of zinic in the alloy is 348 and the mass of copper in the alloy is 522.
PLEASE HELP ME WITH THIS QUESTION I NEEED HELP ASAPm
Answer:
one pound is 4 dollars and 12 pounds would cost 48 dollars
the perimeter of a rectangle is (8x + 7y) feet, give two possible dimensions of the rectangle
please help ??
Answer:
Two possible dimensions of the rectangle are 4x and 7/2 y.
Step-by-step explanation:
The Perimeter of a Rectangle
It's given the perimeter of a rectangle is
P = 8x + 7y
The formula to calculate the perimeter of a rectangle of dimensions L and W is:
P = 2W + 2L
Equating term by term, we can guess two possible dimensions of the rectangle:
2W = 8x
Dividing by 2:
W = 4x
And also:
2L = 7y
Dividing by 2:
L = 7/2 y
Thus, two possible dimensions of the rectangle are 4x and 7/2 y.
If A = 50 degrees, B = 62 degrees, and a = 4, find b.
Round to the nearest tenth.
=================================================
Work Shown:
Use the law of sines
b/sin(B) = a/sin(A)
b/sin(62) = 4/sin(50)
b = sin(62)*4/sin(50)
b = 4.61042489526572
b = 4.6
Make sure your calculator is in degree mode.
Which of the following functions maps 3 to -5?
O f(x) = 4 – x2
O f(x) = x-5
O f(x) = -x + 2
O f(x) = x + 8
Answer: A
Step-by-step explanation:
Which of the following may be used as reasons in a two-column proof? Select all that apply.
Answer:
definitions, theorems, postulates, properties, and "given"
Step-by-step explanation:
Definitions, theorems, postulates, properties, and statements that are given are all either assumed to be true or proven to be true, and can be cited in a two-column proof.
Quotes and opinions are not statements of fact, and cannot be used in proofs.
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Solve for h.
h/4=6
Answer:
H equals 24
24/4 equals 6
Answer:
h = 24
Step-by-step explanation:
multiply both sides
h/4=6
4 x h/4 = 4 x 6
reduce multiply
and the solution is h = 24
An item has a listed price of $45. If the sales tax rate is 5%, how much is the sales tax (in dollars)?
Answer:
$42.75
Step-by-step explanation:
Jennifer's grade on a math quiz was a 85%. There were 20 questions on the quiz.
Answer:
She got 16/20 on the test
Step-by-step explanation:
Just divide 16/20 and the answer is 80%
A grocery store sells tangerines in 25kg bags. A customer bought 4 kg of tangerines for a school party. How many bags did he buy? (2 points) A. Write a multiplication equation and division equation to represent the situation.
Answer:
x = 4/25
Step-by-step explanation
Amount of tangerines in bags sold = 25kg
If a customer bought 4kg of tangerines, the number of bags he bought is expressed as x;
4 kg = x bags
25 kg = 1 bag
Cross multiply
25 x = 4 * 1
25x = 4
Divide both sides by 25
25x/25 = 4/25
x = 4/25
Hence the required equation is x = 4/25
Answer:
So if you are in middle school like me, they are asking for an equation answer, and that equation is 4 divided by 2/5 = _ and _ x 2/5 = 4
Step-by-step explanation:
If Clare earns $75 the next week from delivering newspapers and deposits it in her account, what will her account balance be then? her account balance is $-50 to start out with
Answer:
25
Step-by-step explanation:
because 75 - 50 = 25
The Clare account balance after the deposit of $75 will be $25.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
As per the given,
The account balance initial = -$50
The amount of deposition = $75
Total amount = -$50 + $75
⇒ $25
Hence"The Clare account balance after the deposit of $75 will be $25".
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Mr.Hershamn has purchased a farm that is in the shape of a rectangle. The dimensions of the piece of land are 2.6km by 4.37km. How many square kilometers did he buy,and how many hectares did he purchase
Answer:
11.362 sq km
1136.2 hectares
Step-by-step explanation:
Given that:
The farm is in the shape of a rectangle.
Dimensions of the rectangular shaped land = 2.6 km by 4.37 km
To find:
Area of land bought in square km and in hectares.
Solution:
First of all, let us have a look at the formula for area of a rectangular shape figure.
[tex]Area = Length \times Width[/tex]
Here,
Length = 2.6 km
Width = 4.37 km
So, Area = [tex]2.6 \times 4.37 = 11.362\ sq\ km[/tex]
To convert square kilometers to hectares, we can use the following conversion formula:
1 sq km = 100 hectares
11.362 km = 100 [tex]\times[/tex] 11.362 = 1136.2 hectares
What is the slope of the line?
Answer:
3
Step-by-step explanation:
down 3 over 1 3/1 or 3.
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