5 × (10 + 7) = (5 × 10) + (5 ×7) whole number property is represented by
distributive property of multiplication.
As given in the question,
Given number : 5 × (10 + 7) = (5 × 10) + (5 ×7)
Here whole number 5 is first multiplied to addend 10 and then whole number 5 is multiplied to addend 7.
Then, their products are added.
This is represented by property of Distributive Property of Multiplication.
Therefore,5 × (10 + 7) = (5 × 10) + (5 ×7) whole number property is represented by distributive property of multiplication.
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Answer:
Distributive Property of Multiplication
Step-by-step explanation:
The Distributive Property of Multiplication states that multiplying a number by a group of numbers added together is the same as multiplying each number separately:
[tex]\large\text{$a(b + c) = ab + ac$}[/tex]
Therefore, applying the Distributive Property of Multiplication to the given expression:
⇒ 5 × (10 + 7) = 5(10) + 5(7)
--------------------------------------------------------------------------------------------
Here are the definitions of the other properties for information purposes:
Associative Property of Multiplication
The grouping of numbers by parentheses in a different way does not affect their product.
[tex]\large\text{$(a \times b) \times c = a \times (b \times c) = (a \times c) \times b$}[/tex]
Identity Property of Multiplication
This property is also known as the identity property of one.
Multiplying any number by 1 does not change the number, i.e. the number keeps its identity.
[tex]\large\text{$a \times 1 = a = 1 \times a$}[/tex]
Commutative Property of Multiplication
Changing the order or position of two numbers does not change the end result.
[tex]\large\text{$a \times b = b \times a$}[/tex]
Jonah measured a picnic area near the river and made a scale drawing. The picnic area,
which is 70 yards wide in real life, is 10 inches wide in the drawing. What scale did Jonah
use?
The scale used by Johan is 1: 252.
Here, we are given that Jonah made a scale drawing of the picnic area in which the 70 yards wide picnic area in real life, was 10 inches wide in the drawing.
As per mathematical measurements-
1 yard = 3 feet
and 1 feet = 12 inches
Thus, 3 feet = 12 x 3 inches
= 36 inches
Therefore, we get that 1 yard = 36 inches
Now, the picnic area is 70 yards
the picnic area in inches is = 70 x 36 inches wide
= 2520 inches
Thus the scale used by Johan will be-
10 : 2520
= 1 : 252
Thus, the scale used by Johan is 1 : 252.
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PLA HELP I WILL GOVE BRAINLIEST
Find the x-intercept and the y-intercept of each line. Express the answers as ordered
pairs.
y = 5x-10
x-intercept is
y - intercept is
Answer:
the answer is x intercept is 8 and the y intercept is 10
Need help with This assignment asap will mark brainless
Answer:
Hello,
Answer: B : y=(m-3)*(x+1)²3
Step-by-step explanation:
The parabola with vertex (-1,3)
is y=k(x+1)²+3
(0,m) is a point of the parabola:
m=k*(0+1)²+3 ==> k=m-3
So, y=(m-3)*(x+1)²+3 is the correct equation.
xy + 8
Click on the correct answer.
monomial
binomial
trinomial
Answer:
Binomial
Step-by-step explanation:
There are only 2 terms
What are the values of a and r of the geometric series?
2-2+2-2+2
The given geometric series, the first term is a₁ = 2 and the common ratio is r = -1
What are some examples of geometric series?
In mathematics, a geometric series is an infinite series with the formula a + ar + ar2 + ar3 +, where r is referred to as the common ratio. The geometric series for a = 1 and r = 1/2, or 1 + 1/2 + 1/4 + 1/8 +, is a straightforward illustration and converges to a sum of 2. (or 1 if the first term is excluded).We are given to find the values of a₁ and r of the following geometric series
2 - 2 + 2 - 2 + 2 - ........
We know that
a₁ is the first term and r is the common ratio of the given geometric series.
We can see that the first term of the given geometric series is 2.
So. we must have
a₁ = 2
Also, common ratio is found by dividing a term by its preceding term.
Therefore, the common ratio r of the given geometric series is
r = -2/2 = 2 / -2 = ...... = -1
Thus, for the given geometric series, the first term is a₁ = 2 and the common ratio is r = -1.
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If two out of every fifteen trick-or-treaters that came to your house last Halloween were dressed as Spiderman, what proportion of trick-or-treaters were not dressed as
Spiderman?
The proportion of trick-or-treaters that were not dressed as Spiderman will be 131/15.
How to calculate the value?From the information, two out of every fifteen trick-or-treaters that came to the house last Halloween were dressed as Spiderman.
Therefore the fraction is represented as 2/15.
Therefore, the proportion of trick-or-treaters that were not dressed as Spiderman will be:
= 1 - 2/15
= 13/15.
Therefore, the proportion of trick-or-treaters that were not dressed as Spiderman will be 131/15.
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A28% income tax on a 80,000 income
Which of the following is true about parallel lines? Select all that apply.
*
They will never cross.
They have the same slope.
Their slopes are opposite reciprocals.
They will cross at a right angle.
They are in the same plane.
The statements which are true about parallel lines are;
They will never cross.They have the same slope.They are in the same plane.What are parallel lines?Parallel lines in their simplest description are lines which would never meet or cross each other under any circumstance.
Also, It follows from line geometry that such lines have the same slope and are coplanar, exist in the same plane.
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Drag the tiles to the boxes to form correct pairs.
Match the pairs of equivalent expressions.
The pairs of equivalent expressions are:
(-14 + 3/2b) - (1 + 8/2b) --> -15 - 5/2b
(5 + 2b) + (2b + 3/2) --> 4b + 13/2
(7/2b - 3) - (8 + 6b) --> -5/2b - 11
(-10 + b) + (7b - 5) --> 8b - 15
How to Determine Equivalent Expressions?Evaluate each of the given expressions in order to find out which expression is equivalent to each.
(-14 + 3/2b) - (1 + 8/2b) = (-14 + 3/2b) - (1 + 4b)
= -14 + 3/2b - 1 - 4b
= -15 - 5/2b
(5 + 2b) + (2b + 3/2) = 5 + 2b + 2b + 3/2
13/2 + 4b
4b + 13/2
(7/2b - 3) - (8 + 6b) = 7/2b - 3 - 8 - 6b
-5/2b - 11
(-10 + b) + (7b - 5) = -10 + b + 7b - 5
= -15 + 8b
= 8b - 15
Thus, the pairs of equivalent expressions are:
(-14 + 3/2b) - (1 + 8/2b) --> -15 - 5/2b
(5 + 2b) + (2b + 3/2) --> 4b + 13/2
(7/2b - 3) - (8 + 6b) --> -5/2b - 11
(-10 + b) + (7b - 5) --> 8b - 15
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Please help me is this problem <, >, or =
[tex] \sqrt{15} \approx3.873\\ \\ \sqrt{15} < 3.9[/tex]
Henry bought a bag of 5 onions for a total cost of $4.75. At that rate, how
much would Henry pay for 12 onions?
A. $ 9.75
B. $11.40
C. $11.75
D. $16.75
PLEASEEEE HELPPP!!!! THIS IS DUE ON WEDNESDAY
Jeri bought 32 cookies and 56 slices of pizza for his sisters birthday. Each guest will receive the same number of cookies and pizza, with nothing left over. If Jeri wants to invite the greatest number of guests, how many cookies will each guest receive?
Reason:
32 = 8*4
56 = 8*7
We see that 8 is the largest common factor, aka GCF, of 32 and 56
So this is the greatest number of guests possible.
Each guest will get 32/8 = 4 cookies and 56/8 = 7 slices of pizza.
AB=[1+4.5]=5.5 describe and correct
The required solution is correct. AB = 5.5.
Given that,
AB=[1+4.5]=5.5
To describe the expression and to determine whether the expression is correct or not.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
here,
Simplifying the given expression, AB = 1 + 4.5
AB = 1 + 4.5
Addition property of alike terms
AB = 1.00 + 4.50
AB = 5.50
AB = 5.5
Thus, the required solution is correct. AB = 5.5
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please help
please hurry
patty has just completed her second semester in college. She earned a grade of in her -hour course, a grade of in her -hour course, a grade of in her -hour course, and a grade of in her -hour course. Assuming that A equals 4 points, B equals 3 points, C equals 2 points, D equals 1 point, and F is worth no points, determine 's grade-point average for the semester.
The second semester grade point average for Patty was 2.21.
Due to that,
She received an upper D mark in the five hours of discrete math.
A higher B in her three-hour sociology class,
In her one-hour engineering course, she received an upper C.
And an upper B mark in her five-hour philosophy course.
A is worth four points, B is worth three, C is worth two, D is worth one, and F is worth none.
We must discover,
The semester's grade point average for Patty.
The answer to the query is
The student's grade point average is:
multiplying each point by its corresponding credit hour, adding them all up, and then dividing the result by the total amount of credit hours.
Then,
A single point is equal to 5(1) + 3(3) + 1(2) + 5(3), which is 5 + 9 + 2 + 15 = 31.
The numbers outside of the parentheses represent the credit hours while those inside represent the points.
Now,
Total credits earned equal 14 (5 + 3 + 1 + 5).
Patty's semester grade point average was 2.21.
Patty's semester grade point average is 2.21 as a result.
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At the end of a snow storm, Emily saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. There was a depth of 15 inches of snow on the lawn when the storm ended and after 4 hours, the depth of snow was down to 12 inches. Write an equation for S,S, in terms of t,t, representing the depth of snow on Emily's lawn, in inches, tt hours after the snow stopped falling.
The equation that represents the depth of snow on Emily's lawn t hours after the snow stopped falling is
S = 15 - 0.75t
Writing an equationFrom the question, we are to write an equation for S, in terms of t, that represents the depth of the snow on Emily's lawn, t hours after the snow stopped falling
From the given information,
"There was a depth of 15 inches of snow on the lawn when the storm ended"
and
"after 4 hours, the depth of snow was down to 12 inches"
That is,
The snow has reduced by 15 - 12 inches after 4 hours
15 - 12 = 3
Thus,
The snow has reduced by 3 inches after 4 hours
Now,
If the snow reduced by 3 inches after 4 hours,
Then,
The snow will reduce by x inches after 1 hour
x = (3×1)/4
x = 3/4 inches
x = 0.75 inches
This means the snow reduces by 0.75 inches every hour.
Now,
After t hours, the snow would have reduced by 0.75t
Thus, the depth of the snow, S, after t hours will be
S = 15 - 0.75t
Hence, the equation that represents the depth of snow on Emily's lawn t hours after the snow stopped falling is
S = 15 - 0.75t
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Which set of points represents a nonlinear function?
A (-3,-6) (0,1) (3,8)
B (-2,2) (0,0) (2,2)
C (0,4) (3,3) (6,2)
D (8,0) (9,1) (10, 2)
Answer:
The answer would be B.
Step-by-step explanation:
(-2,2)(0,0)(2,2) represents a nonlinear function.
Find the measure of each angle specified below.
Answer:
Step-by-step explanation:
angle 5 = 52, therefore angle 6 = 180 - 52 = 128
angle 7 = 52
Please hurry i need an answer
Answer:
sum = addition. p+157=171
Step-by-step explanation:
Answer: P + 157 = 171
Step-by-step explanation:
what Robert decided to buy half a dozen mangoes priced at $0.15 each.he gives $20 to the cashier.how much change should he receive
The profit or loses change should he receive is $19.5
Given,
The price of Dozen of mangoes is $.15
Robert gives $20
The change should be is $20-$.15 =$19.5
When a person buys an item at one price and later sells it at a different one, he either earns a profit or loses money. There are several phrases that are involved with the complete transaction procedure. For instance, cost price (C.P. ), selling price (S.P. ), discount, marked price, profit, and loss. Let us go through the definitions of these terminologies one by one.
Price Cost
For example, if Neil purchased an umbrella for $8, the cost price of the umbrella is $8. The abbreviation is C.P.
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3rd grade math
A grocer puts cans
in 5 rows. Each
row has 3 cans.
The next day, 2 of
the cans are sold.
How many cans
are left?
A. 3
B. 6
C. 9
D. 13
Find two - 3 - digits which are divisible by 8 and 11?
Answer:
88,86416
Step-by-step explanation:
Kary took 4 courses last semester: History, Biology, Calculus, and Physics. The means and standard deviations for the final exams, and Kary's scores are given in the table below. Convert Kary's score into z scores.
Subject Mean Stand. dev. Kary's score Kary's z score
History 53 16 69
Biology 77 10 74.5
Calculus 70 12 88
Physics 60 14 67
The highest z-score is corresponding to Calculus, hence in Calculus Kary have the highest relative score using standard deviation and mean concept i.e. 2.5.
As per the question statement, It is given that Kary took 4 courses last semester i.e., History, Biology, Calculus, and Physics. The means and standard deviations for the final exams, and Kary's scores are given as follows:
History 53 16
Blology 77 10
Calculus 70 12
Physlcs 60 14
Kary's score In the above four subjects are: 69,74.5,88,67
We are supposed to convert Kary's score in z-score which is as follows:
History : [tex]\frac{69-53}{16} =1[/tex]
Biology: [tex]\frac{74.5-77}{10}=-0.25[/tex]
Calculus: [tex]\frac{88-70}{12} =1.5[/tex]
Physics: [tex]\frac{67-60}{14} = 0.5[/tex]
From the above calculations, it is clear that The highest z-score is corresponding to Calculus, hence in Calculus Kary have the highest relative score using standard deviation and mean concept i.e., [tex]1.5[/tex]
Mean: The most typical or average value among a group of numbers is called the mean. It is a statistical measure of a probability distribution's central tendency along the median and mode.Standard Deviation: A measure of how far a group's members deviate from the average value for the group.To learn more about Standard Deviation and Mean, click on the link given below:
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Convert 3/7 to percent
Answer:
42.857143%
Step-by-step explanation:
As a decimal, this would equal, 0.428!
When you convert that into a percentage, you'll get 42.857143%, which btw, you can round to 43%!
I hope this helps!
Write an inequality that represents the statement “x is greater than -2 and less than 8.”
The inequality which represents the statement given in the task content; x is greater than -2 and less than 8 is; -2 < x < 8.
Which inequality correctly represents the statement as given in the task content?It follows from the task content that the inequality which represents the statement given in the task content is to be determined.
First each section of the statement must be highlighted as follows;
x is greater than -2 can be written as;
x > -2 or -2 < x
x is less than 8 can be written as:
x < 8.
Therefore, the compound inequality which represents the word phrase is; -2 < x < 8.
Ultimately, The inequality which represents the statement given in the task content; x is greater than -2 and less than 8 is; -2 < x < 8.
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Solve w(2v + 9) = 3w(v - 1) given that w(v) = 3v + 2.
Enter the exact answer.
V=
After solving the given equation the two values of V are (v = 12) and
(v = -2/3).
What exactly are equations?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.So, substitute 'w = 3v + 2' in w(2v + 9) = 3w(v - 1):
w(2v + 9) = 3w(v - 1)3v + 2(2v + 9) = 3(3v + 2)(v - 1)3v(2v + 9) + 2(2v + 9) = 3[3v(v - 1) + 2(v - 1)]6v² + 27v + 4v + 18 = 3(3v² - 3v + 2v - 2)6v² + 31v + 18 = 3(3v² -1v - 2)6v² + 31v + 18 = 9v² -3v -69v² - 6v² -3v - 31v - 6 - 18 = 03v² - 34v - 24 = 03v² - v ( 36 - 2 ) - 243v² - 36v + 2v - 243v (v - 12) + 2 (v - 12)(v - 12) and (3v + 2)Values: (v = 12) and (v = -2/3)Therefore, two values of v are (v = 12) and (v = -2/3)
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How is the product of 3 and -2 shown using integer tiles?
Answer:
C) 3 sets of -2 tiles
Step-by-step explanation:
Its -2 three times, making it -6
If you multiply a positive and negative it is always negative
Solve for g.
9g - 8g - 1 = 16
g=
9g-8g-1=16
g-1=16
g=17
To mail a letter to Vienna, Austria the post office charges a flat rate of $8.00 and an additional $0.75 for every ounce the letter weighs. The cost of mailing a letter is
determined by the equation y = 0.75x+8.00, where y is the cost of the postage and x is the weight of the letter in ounces.
Step 2 of 2: Use the graph to estimate to the nearest quarter of a dollar ($0.25) the cost to send a letter that weighs 5 ounces.
Enable Zoom/Pan
Price for Postage
15
10
S
5
10
Weight (oz)
15
The cost to send a letter that weighs 5 ounces is $11.75.
Flat rate = $8.00
Charges on every ounce = $0.75
Given equation :
y = 0.75x + 8.00
'y' = Cost of the postage
'x' = Weight of the letter in ounces
According to the question we can determine the cost of mailing a letter with the help of given equation (y = 0.75x + 8.00).
We have given that the weight of letter that need to send is 5 ounces.
So, x = 5
Lets find the cost of postage,
y = 0.75x + 8.00
y = (0.75 × 5) + 8.00
y = 3.75 + 8.00
y = $11.75
Hence, it will take $11.75 to mail a letter or we can say cost of postage.
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Apple weights in an orchard are normally distributed. From a sample farmer Fred determines the mean weight of a box of apples to be 270 oz. with a standard deviation of 10 oz. He wonders what percent of the apple boxes he has grouped for sale will have a weight less than 255 oz.
Carl calculates the z-score corresponding to the weight 255oz= -1.5.
Now, Carl decides to find the percent associated with boxes less then 255 oz, so he rounds to hundred and substract 50% - 7% = 43%.
Given that,
In an orchard, apple weights are typically distributed. Fred the farmer concludes from a sample that the average weight of a box of apples is 270 ounces, with a standard deviation of 10 ounces.
He is interested in knowing what proportion of the apple boxes he has gathered for sale will weigh less than 255 oz.
Mean is 270
Standard deviation is 10
x = 255
Formula for z-score,
z = (x - mean)/SD
z = (255 - 270) / 10
=> z = -15 / 10
=> z = -1.5
Hence, by using z-table,
-1.5 equates to 0.0668, which suggests that 0.07
Therefore, 7% of Apple boxes weigh less than 255 oz.
The ratio of boxes is between 255 oz and 270 oz,
Calculating the proportion
Now,
50% - 7% = 43%.
Therefore, Carl calculates the z-score corresponding to the weight 255oz= -1.5.
Carl decides to find the percent associated with boxes less then 255 oz, so he rounds to hundred and substract 50% - 7% = 43%.
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