The simplified value of the expression will be -824.
What is algebraic expression ?
An algebraic expression in mathematics is made up of variables, constants and operations such as addition, subtraction, etc.
Given that the expression is 20 × (6) − (7 × 113 × - 20) − 20 − 113.
Now , we will simplify the above expression using PEMDAS rule , which follows the order that is parentheses, exponents, multiplication, division, addition, subtraction.
So , if we solve the expression we will get ,
= (20 × 6) − (7 × 113) - 20 − 20 − 113
Firstly , solve terms which are in parentheses.
= 120 - 791 - 20 - 20 - 113
Now , we will add all the negative terms.
= 120 - 944
Now , subtracting both numbers.
= -824
Thus , the simplified value is equal to -824.
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Dominic is making meatballs. He uses 3/4 cup of breadcrumbs for every 1 1/4 pounds of ground beef. How many cups of breadcrumbs does he need when he uses 1 3/4 pounds of ground beef?
In proportion , [tex]1\frac{3}{4}[/tex] pound of ground beef requires [tex]1\frac{1}{20}[/tex] cup of breadcrumbs.
What in mathematics is a proportion?
A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls. 0.25 are male (by dividing 1 by 4)It is given that Dominic uses 3/4 cups of breadcrumbs for every [tex]1\frac{1}{4}[/tex] pounds of ground beef. Therefore for 1 pound of ground beef he will required .
[tex]1\frac{1}{4}[/tex] → 3/4
5/4 → 3/4
1 → 12/20
1 → 3/5 cups of breadcrumbs
Therefore, Dominic need 3/5 cups of breadcrumbs when he uses 1 pound of ground beef.
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(9x² - 2x + 7) + (4x²+7x+2)
A. 13x²+9x-9
B. 13x²+5x+9
C. 5x²+5x÷5
D. 13x²+9x+9
By further simplifying the quadratic equation the answer is 13x²+5x+9.
What are quadratic equation?=(9x² - 2x + 7) + (4x²+7x+2)
= 9x²+4x²+7x-2x+7+2
= 13x²+5x+9
Any equation in algebra that can be written in standard form as where x is an unknown and a, b, and c denote known numbers, where a 0 is a quadratic equation.
x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.
When a problem is factorable, factoring is often the quickest and simplest solution. Factoring won't help us because many times the quadratic we're working with can't be factored. Therefore, it is quick and simple when it is useable but not always factorable.
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The 14 digits of a credit card are written in the boxes shown. If the sum of any three consecutive digits is 16, what is the
value of A?
A =
Please show work.
Answer:
3.
Step-by-step explanation:
1) in the given sequence position no. 13 can be calculated easy:
16-(6+7)=3 (see the attachment), then
2) it is possible to calculate the position no. 11 (=7), then no.10(=3), then no.9 (=6), then it is visible repeating of subsequence '637', it means
3) the number of the given credit card is
37637637637637;
4) finally, the value of A is 3.
In a game, a player randomly pulls a card from a stack that contains 2 red, 2 yellow, and 4 black cards. Only yellow cards will be added to the stack. How many yellow cards should be added to the stack to make the chance of pulling a yellow card 50%? Enter the answer in the box.
Answer:
1
Step-by-step explanation:
R=red Y=yellow B=black
2(R)+4(B)
=6
2(Y)/6(R+B)
2/6 to get 50=50 or 3/6=1/2
you need 1 more yellow
Roaring Brook School has three hundred fifty-six third-grade students. To the nearest hundred, how many students are in the third grade at Roaring Brook School?
The number of students in the third grade at Roaring Brook School is 400
How to determine the number of students in the third grade at Roaring Brook School?The number of students in the third grade at Roaring Brook School is given as
Students = three hundred fifty-six third
Express as digits
Students = 356
When the above number is approximated to the nearest hundred, we have
Students = 400
Hence, the number of students in the third grade at Roaring Brook School is 400
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For the function g(x) = x6, if the domain of x is R, what is the range of g (x)?
the range of the function g(x) = x^6 is: R: [0, ∞)
What is the range of the function?
Here we have the function:
g(x) = x^6
First, notice that we have an even exponent. This means that the outcome of the function will always be a positive number, then the minimum of the range is:
g(0) = 0^6 = 6
And we don't have a maximum, the function tends to positive infinity in both ends (as x → -∞ and as x → ∞).
So the range is: R: [0, ∞)
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Two integers c and d have a product of -6 what is the greatest possible sum?
The greatest possible sum for the two integers ( c and d) is 1.
Number Classification Whole Numbers - They are the numbers represented by positive real numbers where the fractions and decimal numbers are not included. Integer Numbers - They are the whole numbers. They are represented by zero, positive and negative numbers.Opposite numbers - They are numbers that the distance to 0 is equal. The numbers are classified as the opposite when the sum between them is equal to zero (0).The question gives:
c and d ar integers;c*d = -6The possible values for c and d for a product equals -6 are:
option 1 c= -2 and d= 3option 2 c= -3 and d= 2option 3 c= 2 and d= -3option 4 c= 3 and d= -2Now you should sum the possible values of c and d for each option.
option 1 c= -2 and d= 3 -> -2+3 = 1option 2 c= -3 and d= 2-> -3+2 = - 1option 3 c= 2 and d= -3-> 2-3 = -1option 4 c= 3 and d= -2-> 3-2 = 1Read more about number classifications here:
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On Monday, Saffron bakes
324 pastries in the morning and some more in the
afternoon. She sells 584 pastries. At the end of the
day she has 52 pastries left. How many pastries did
she bake in the afternoon?
the number of pastries that she bake in the afternoon is equal to 312 pastries.
We are given that:
Saffron sells 584 pastries in the whole day and 52 pastries are left at the end of the day.
Now, we will use addition to find the total number of pastries that is being made in the day.
Total pastries = 584 + 52
Total pastries = 636
Now, she bake 324 pastries in the morning.
So, the number of pastries baked in the afternoon = 636 - 324
In afternoon = 312.
Therefore, we get that the number of pastries that she bake in the afternoon is equal to 312 pastries.
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pls help edguity
Using a Ratio Table
A 3-column table with 2 rows. Column 1 is labeled Scale factor with entries 1, 1.25. Column 2 is labeled Width with entries 8 inches, A. Column 3 is labeled Length with entries 28 inches, B.
The value of A is
.
The value of B is
.
Using proportions, it is found that:
The value of A is of 10.The value of B is of 35.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
In the first row of the table, we are given the scale factors of 1 and 1.25. From the second row, we have that the width for a scale of 1 is of 8 inches, and for a scale of 1.25 is of A, hence:
A = 1.25 x 8 = 10.
For the third row, we have that the scale of 1 is of 28 inches, while the scale of 1.25 is of B, hence:
B = 1.25 x 28 = 35.
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What are the next two terms in the following sequence? 6, 3, 12, 6, 24.....
Answer:
12, 48
The pattern is: Divide by 2, then multiply by 4
A square acre of land is 5,280 square yards.
Between which two integers is the length of one side?
between 17 and 18 yards
between 72 and 75 yards
between 24 and 243 yards
between 1,320 and 1,321 yards
By factor decomposition, area of a square and power and root properties, the length of the side is between 72 yards and 76 yards. (Correct choice: B)
What integers are the limits between the length of an equivalent square side of a given area?
The area of a triangle is equal to the square of its side length and the area of land is a composite number, that is, a product of prime numbers. By factor decomposition, the equivalent form of 5,280 square yards is:
5,280 = 2⁵ × 3 × 5 × 11
Then, the equivalent side is equal to the square product of the product:
x = √(2⁵ × 3 × 5 × 11)
x = √(2⁴) × √(2 × 3 × 5 × 11)
x = 2² × √(2 × 3 × 5 × 11)
x = 4√330
As for √330 is between √324 = 18 and √361 = 19, then the length of the side is between 72 yards and 76 yards.
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2 Determine whether the equation is a direct variation. If it is, state the constant of variation: 4y = 9x?
OYes, k= 9/4
O Yes, k = 4/9
O Yes, k = 9
O Not direct variation
Yes the the equation is following direct variation. Correct option is A, Yes, k = 4/9
What is Direct Variation?The change in one quantity as a result of the change in another is known as direct variation. This implies that if one quantity increases or decreases, the other must do the same.
Direct variation describes how one quantity directly affects the other when it varies. The precise reverse of this is called inverse variation. You will discover what direct and inverse variants are in this article, along with various cases that have been solved.
4y = 9x
standard equation for direct variation is y = kx
y = 9/4 x
On comparing the equation with standard equation,
k = 9/4
Hence, the equation is following direct variation
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select two points that lie on the same line throught (0,0), then select an equation that describes the relationship between the coordinates x and y
Two collinear points on a line are given in the table below:
x, y
0 0 (0,0)
2 1 (2,1)
Select the points that lie on the line. and the relationship between the coordinates x and y.
(4,2)
(4, 3)
(7,2)
4/8, 2/8
Answer:
(4,2) and ([tex]\frac{4}{8}[/tex],[tex]\frac{2}{8}[/tex]) are lie on the line, and y = [tex]\frac{1}{2}[/tex] x , is showing the relationship of x and y coordinates of given line.Given that
The co-ordinates of line is (0,0) and (2,1).To find
The points that lie on the line, and The relationship between the coordinates x and y.So, according to the question
We have,
The X and Y co-ordinates of line (0,0) and (2,1).For finding any point that lie on line, first we have to find the slope of given line,
So, we know that
slope (m) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where,
x₁ = 0 and x₂ = 2
y₁ = 0 and y₂ = 1
Now, putting the values, we will get
(m) = [tex]\frac{1-0}{2-0}[/tex] = [tex]\frac{1}{2}[/tex]
m = [tex]\frac{1}{2}[/tex]
We know that, the equation of line
y-y₁ = m(x- x₁ )
y-0 = [tex]\frac{1}{2}[/tex] (x- 0)
y = [tex]\frac{1}{2}[/tex] x -------------(1)
{ this equation (1) is showing a relationship the coordinates x and y }
For finding which point is lie in that line, this point must be prove that equation (1).
Now, let's check the points
For point (4,2)
y = [tex]\frac{1}{2}[/tex] x -------------(1)
2 = [tex]\frac{1}{2}[/tex] × 4
2 = 2
So, point (4,2) lie in this line.
For point (4,3)
y = [tex]\frac{1}{2}[/tex] x -------------(1)
3 = [tex]\frac{1}{2}[/tex] × 4
3 ≠ 2
So, point (4,3) not lie in this line.
For point (7,2)
y = [tex]\frac{1}{2}[/tex] x -------------(1)
2 = [tex]\frac{1}{2}[/tex] × 7
2 ≠ [tex]\frac{7}{2}[/tex]
So, point (7,2) not lie in this line.
For point ([tex]\frac{4}{8}[/tex],[tex]\frac{2}{8}[/tex])
y = [tex]\frac{1}{2}[/tex] x -------------(1)
[tex]\frac{2}{8}[/tex] = [tex]\frac{1}{2}[/tex] × [tex]\frac{4}{8}[/tex]
[tex]\frac{2}{8}[/tex] = [tex]\frac{2}{8}[/tex]
So, point ([tex]\frac{4}{8}[/tex],[tex]\frac{2}{8}[/tex]) lie in this line.
(4,2) and ([tex]\frac{4}{8}[/tex],[tex]\frac{2}{8}[/tex]) are lie on the line, and y = [tex]\frac{1}{2}[/tex] x , is showing the relationship of x and y coordinates of given line.
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11. Is the expression [(2.7)4]6 equivalent to the
[(2.7)8] 3? Explain. Use a Law of
to justify your answer.
expression
Exponents
The expression [ (2.7) [tex]4]^{6}[/tex] is not equivalent to [ (2.7) 8 ] ³.
What are exponents?
An exponent refers to the number of times a number is multiplied by itself.
Example:
a², a³
2 and 3 are exponents.
We have,
[ (2.7) [tex]4]^{6}[/tex]
Here 6 is the exponent.
We can write 6 as 2 x 3
Now,
= [ (2.7) [tex]4]^{2\times3}[/tex]
We can take 2 inside [ (2.7) 4 ]
= [ (2.7)² 4² ] ³
= [ (2.7)² 16 ] ³
We can see that it is not equivalent to [ (2.7) 8 ] ³.
Thus the expression [ (2.7) [tex]4]^{6}[/tex] is not equivalent to [ (2.7) 8 ] ³.
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1. BOWLING Brooke went bowling with her friends. She bowled 3 games, and
her average score for those games was 121. She had 117 her first game and
108 her second game. Write and solve an equation to find g, the score of
her third game.
pls show your work
Answer: x = 138
Step-by-step explanation:
[tex]108+117+x=3 * 121\\3 * 121 = 363\\Rearrange unknown terms to the left side of the equation\\x=(363-108)-117\\\\255-117=138\\x=138[/tex]
Is 7.65 greater or less than 7.7
Answer:
less than
Step-by-step explanation:
Who is the worst shooter Jason mike Jim or dave
Mike is the best shooter than Jason mike Jim or dave .
Mike and Jim are faster and more accurate shooters than Jason and Dave. Mike is the quickest because Jim is the second fastest. Because no one individual is the greatest (for example, tallest, fastest, or best shooter) in more than one category, Dave is the tallest.
Mike and Jim are faster and more accurate shooters than Jason and Dave. Mike is the quickest because Jim is the second fastest. Because no one individual is the greatest (for example, tallest, fastest, or best shooter) in more than one category, Dave is the tallest.
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identify the coefficient, constant, and variable in the expression: - 5 + 8w
Answer:
coefficient=8
constant=-5
variable=x
Step-by-step explanation:
Answer:
-5 constant
8 coefficient
w variable
Step-by-step explanation:
Jordan’s Girl Scout troop has 20 members. Everyone has monthly dues of $15.50. On the first meeting, 12 members paid their dues. The rest paid their dues at the second meeting. How much money was collected at the second meeting?
The diagonal of a Square is seven root feet what is the perimeter of the square?
Answer:
49
Step-by-step explanation:
Answer:
the diagonal of a square is seven root feet
√2a=√7 a=√7/2 perimeter =
Step-b
y-step explanation:
Find the vaule of the expression below for r = 4 and t = 2.
t^3 - r + 20 divded by r
A). 9
B). 72
C). 6
D). 40
Answer: A: 9
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Which expression shows the first step in dividing 5x + 3 by x?
The First step Linear Expression shows is 5+3/x
An algebraic expression known as a linear expression has terms that are either constants or variables raised to the first power. Alternatively put, none of the exponents can be greater than 1. As an illustration, while x is a variable raised to the first power, x2 is a variable raised to the second power. An illustration of a constant is 5.
so when this linear expression 5x + 3 is divided by x then the first step will be
5 + 3/x
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Forty more than a number is?
Answer:
x+40
Step-by-step explanation:
I'm assuming you need to write a mathematical equation from a sentence. You need to take each word and make it into a mathematical symbol. The forty stays as 40, the more becomes a +, and the number is x because it is unknown
1/3 divided by 3/5 = 1/3 divided by M. What is M. I came up with 3/5
Answer:
Yes you are correct
Step-by-step explanation:
1/3 / 3/5 = 1/3 / M
3*1/3 / 5*3/5 = 3*1/3 / 5M
3/3 / 15/5 = 3/3 / 5M
1/3=1/(5M)
5M * 1/3 = 1
5M * 3 * 1/3 = 1 * 3
5M=3
M=3/5 √
a salad dressing recipe calls for 3/4 cup of olive oil for every 1/2 cup of vinegar how many cups of vinegar are needed for 2 cups of olive oil
The cups of vinegar needed will be 1 1/3 cups.
How to calculate the value?From the information, the salad dressing recipe calls for 3/4 cup of olive oil for every 1/2 cup of vinegar.
Let the.cuos needed for the.olive.oio be represented by x.
Therefore, this will be:
1/2 / 3/4 = x/2
Cross multiply
0.75 × x = 2 × 1/2
0.75x = 1
x = 1/0.75
x = 1 1/3
Therefore the cups of vinegar needed will be 1 1/3 cups.
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Work out the area of this circle.
Give your answer in terms of rt and state its units.
6 mm
whats the units?
The Area of the circle is 36π mm²
The area the world circle is that the house occupied by the circle during a two-dimensional plane. Also, the house occupied within the boundary/perimeter of a circle is termed the world the world circle. The formula for the world the world circle could be a could be a, wherever r is that the radius of the circle.Area unit is sq. unit, for instance, m², cm², in², etc. space of a circle = πr² or πd² / four in sq. units, wherever wherever = 22/7 or 3.14. Pi (π) is that the magnitude relation between the circumference and diameter of any circle. it's a special mathematical constant.The circular space formula is beneficial for activity the world occupied by a field or a circular field. as an example if you've got a circular table, the world formula can facilitate us to understand what quantity material is required to fully cover it.Radius of a circle = 6 mm
A circle's area is expressed as as A = πr²,
Where,
Radius (r) = 6 mm
Area = π(6)²
= 36π mm²
Hence the Area of the circle is 36π mm².
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Question 4 of 18
What is the third quartile of the set of data shown below?
26, 34, 38, 49, 65, 75, 81
A. 49
B. 81
C. 75
D. 65
The third quartile of the date is Q₃=75
What is Quartile in Maths.?The numbers known as quartiles are used to divide the provided data set into four equal portions, or three points. Thus, the values that split the provided data into three quarters are known as quartiles. The center point of distribution is shown by the middle portion of the quartiles. The interquartile range is determined by the difference between the higher and lower quartiles so established.
Data 26, 34, 38, 49, 65, 75, 81
First arrange the data from smallest to greatest
26, 34, 38, 49, 65, 75, 81
Then find the median of the data,
Since, the data is in odd numbers median is mid term i.e. 49.
To find the third quartile we take the upper half of data
Upper half of data set, 65, 75, 81
Third quartile is the median of the upper half of the data.
Median of upper half is
Q3 = (n+1)th
Q3 =(3+1)th
Q3 = 2th term
Q3 = 75term
Therefore, The third quartile is Q3 = 75term
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After a 60% reduction, you purchase a new sofa on sale for $280. What was the original price of the sofa?
The original price of the Sofa is $620
How to calculate the original price ?The original price is reduced by 60%
After this reduction the price reduced to $280
Therefore the original price can be calculated as follows
The first step is to subtract 60% from 100%
= 100-60
= 40%
The original price can be calculated as follows
280 × 100/40
= 28,000/40
= 700
Hence the original price of the sofa is $700
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HELP ME OUT PLEASE!!!!!!!!
Answer:
-3
Step-by-step explanation:
Answer:
x-intercepts: (6,0)
y-intercepts: (0,3)
Can somebody please help me I'm trying to find out what 2 + 2 is
Answer:
2+2 = 4
Step-by-step explanation:
Let's visualize this using # signs
we have two groups of two # signs, so let's map that out
##
##
If you count the individual # signs, it is 4. You can also use this model to figure out 2 *2 (4)
I hope this helps :)
Answer:
4
Step-by-step explanation:
2+2
2+1+1
3+1
4