By definition of #,
2 # 3 = 2•2 - 3 = 4 - 3 = 1
(2 # 3) # 4 = 1 # 4 = 2•1 - 4 = 2 - 4 = -2
1 # ((2 # 3) # 4) = 1 # (-2) = 2•1 - (-2) = 2 + 2 = 4
The 1 # ( (2 # 3 ) # 4) equals to 4.
Given that,
if A # B means the same thing as 2 A- B.Based on the above information, the calculation is as follows:
By definition of #,
= 2 # 3
= 2(2) - 3
= 4 - 3
= 1
Now
=(2 # 3) # 4
= 1 # 4
= 2(1) - 4
= 2 - 4
= -2
Now
=1 # ((2 # 3) # 4)
= 1 # (-2)
= 2(1) - (-2)
= 2 + 2
= 4
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A theater seats 2,816 people. The first row has 26 seats while the last row has 150 seats. Assuming the number of seats per row follows an arithmetic sequence,
how many rows does the theater have?
Answer:
The theater has 32 rows
Step-by-step explanation:
The rule of the sum of n terms of an arithmetic sequence is S[tex]_{n}[/tex] = [tex]\frac{n}{2}[/tex] (a + l), where
a is the first terml is the last termn is the number of the terms∵ The number of seats per row follows an arithmetic sequence
∵ The first row has 26 seats
∴ a = 26
∵ The last row has 150 seats
∴ l = 150
∵ The theater seats are 2,816
∴ S[tex]_{n}[/tex] = 2,816
→ Substitute these values in the rule of the sum above to find n
∵ 2,816 = [tex]\frac{n}{2}[/tex](26 + 150)
∴ 2,816 = [tex]\frac{n}{2}[/tex](176)
∴ 2,816 = 88n
→ Divide both sides by 88
∴ 32 = n
∵ n represents the number of the rows
∴ The theater has 32 rows
Lin bought x grams of sugar. Jada bought 3⁄4 more than that. Select all equations that represent the relationship between the amount of sugar that Lin bought, x, and the amount of sugar that Jada bought, y.
Answer:
y = 7/4xStep-by-step explanation:
Lin bought x grams of sugar.
Jada bought 3⁄4 more than Lin bought.
The equation:
y = x + 3/4x ⇒ y = 7/4xwhat is 5.45 x 3.275?
Multiple choice question: A square mosaic is made of small glass squares. If there are 196 small squares
in the mosaic, how many are along one edge? Image is of a mosaic, not the
problem. *
O 14 squares
O 49 squares
O 98 squares
O 16 squares
Answer:
14 squares
Step-by-step explanation:
1. We know if the mosaic is a square shape, all sides are the same length and consist of the same amount of squares
2. Area is L×W, so in this case A×A=196
3. We can test this by replacing A with 14 and seeing if the answer is correct.
4. 14×14=196 is true
This can also be done by finding the square root of 196.
find the value of x
Drag the colon to the correct spot in the sentence.
Answer: Ronald has a daily ritual that includes the following activities : exercising on the treadmill for an hour, reading the morning papers, and getting coffee from a café on his way to work.
Step-by-step explanation:
A colon is used to introduce a list of items in a sentence.
7. Solve 3(a+3)-6=21. Write a reason for each step.
Given
3(a+3)-6=21
3a+9-6=21
3a +3=21
3a = 18
a=6
Simplify.
[2]
Division Property of Equality
c.
a. [1] Simplify
[2] Addition Property of Equality
b. [1] Distribution Property
[2] Subtraction Property of Equality
[1] Simplify
[2] Subtraction Property of Equality
[1] Distribution Property
[2] Addition Property of Equality
d.
Answer:
j i a few u can call you in bright mode of switch ij you can see it on GoDaddy to u all happy with it and k bol raha h ki jay ram ram ram
What is the value of x, if the equation 2(x + 60) + 2(30) = 200
Which graph represents the equation y=−32x−3?
Answer:
Step-by-step explanation:
So first you do y=z and1+2=3 so 6=y=-0 is your answer :)
Buddy painted (1/5) of the 320 nutcrackers.How many nutcrackers did buddy paint
Answer:
64
Step-by-step explanation:
Given that,
Buddy painted (1/5) of the 320 nutcrackers.
We need to find how many nutcrackers did buddy paint. It can be calculated by finding (1/5) of 320.
[tex]x=\dfrac{1}{5}\times 320\\\\=64[/tex]
Hence, he painted 64 nutcrackers.
What is the dollar value of 2 pennies and 3 dimes? What is the dollar value of pp pennies and dd dimes?
Answer:
17 cents
Step-by-step explanation:
what is pp and dd tho
Penny is one cent
Dime is ten cents
1 pp = $0.01
1 dd = $0.10
2 pp = $0.02
3 dd = $0.30
2 pennies and 3 dimes is equal to $0.32 in dollar value.
Please help me im very depressed and im struggling a lot on my math and i really need some answers
Which sequence shows the numbers in order from least to greatest?
c is the best answer c c c c c c c c c c c c.
5a + 12d - 19a -11d -a
Answer:
-15a+d
Step-by-step explanation:
5a-20a+12d-11d
-15a+d
A sign in front of a roller coaster says "You must be 40 inches tall to ride."
What percentage of this height is: 26 inches
Answer:
65%
Step-by-step explanation:
it is 65%
Answer:
10.4 Inches
Step-by-step explanation:
26% * 40 = 10.4
A science teacher has 0.4 of seawater she gives each of her 22 tune in a container or a 5ml spoon she asked as soon as you put two spoonfuls old seawater into their container how many millimeters of seawater will be locked after all 22 minutes of fill their containers
Answer:
the photo is the answer
please solve for x
x+19=-9
Answer:
x=-28
Step-by-step explanation:
Answer:
x=-28
Step-by-step explanation:
What is the sign of the product (8)(−23)( −21)(−29)?
A) Positive, because the products (8)(−23) and (−21)(−29) are negative, and the product of two negative numbers is positive
B)Positive, because the products (8)(−23) and (−21)(−29) are positive, and the product of two positive numbers is positive
C)Negative, because the product (8)(−23) is positive and the product (−21)(−29) is negative, and the product of a positive number and a negative number is negative
D)Negative, because the product (8)(−23) is negative and the product (−21)( −29) is positive, and the product of a negative number and a positive number is a negative number
Answer:
D) Negative, because the product(8)(-23) is negative and the product of (-21)(-29) is positive, and the product of a negative number and a positive number is negative number
Help Pls I need help look at the picture below
Fred added 5 fish to his fish tank and then decided to give half away to his sister. He had 12 fish remaining. How many fish were in the fish tank originally?
Answer:
19 because i used a calculatorrrrrrr
A company sells two sizes of rugs. A small rug sells for $14.00 and a medium-size rug sells for $25.00. The company sold 80 rugs last month and had $1340 in sales. Let x equal small rugs and y equal medium rugs. Which of the following system of equations can be used to determine how many of each type of rug was sold? (5 points)
A 40x + 40y = 80
14x + 25y = 1340
B x + y = 80
14x + 25y = 1340
C x + y = 39
11x + 15y = 80
D x + y = 80
40x + 40y = 1340
Answer:
c
Step-by-step explanation:
I need help with this pls anybody if u know these pls help
Answer: Please give me brainliest?
4: B
5: B
6: H (12)
8: C (3,-6)
7: 120
Step-by-step explanation:
6.
6x-6=3x+30
3x=36
x=12
7. 7x-6=5x+30
2x=36
x=18
5 x 18 = 90 +30 = 120
How many sides does the polygon measures 160 degrees how many sides does the polygon have???
Answer:
18 sides
Step-by-step explanation:
I'm not sure what the question is, but this is what I think the question is.
"An interior angle of a regular polygon measures 160 degrees. How many sides does the polygon have?"
The sum of the measures of the interior angles of a polygon of n sides is
(n - 2)180
If the polygon is a regular polygon, then the measure of each interior angle is
(n - 2)180/n
Here, we are told an interior angle measures 160 deg.
(n - 2)180/n = 160
(n - 2)180 = 160n
(n - 2)18 = 16n
(n - 2)9 = 8n
9n - 18 = 8n
n = 18
Answer: 18 sides
Please help due in 20 mins
Answer:
1. -.005
2.-1/2
3. 0
4. 2
Step-by-step explanation:
if it is negative put positive and if it is positive put negative. for 0 it will always stay the same
Explain how to use ratio tables and compare ratios.
Answer:
You should ALWAYS do everything by the same value for using the tables Step-by-step explanation:
if one side gets multiplied so should the other, so let's say you had 2:4 if you are multiplying the 4 by 3, you should also multiply the 2 by 3.
Comparing ratios:
In order to compare a ratio you must have a number that is constant, basically in other words a common number. A number that almost is always the multiplied, or divided by the same amount.
Please. give brainliest I did my best.
ANSWER PLEASE !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!
Answer:
62 degrees
Step-by-step explanation:
First, it is important to note that all three angles in a triangle add up to be 180 degrees, and if you draw a straight line extending off the side of a triangle, the outside angle and the inside angle are supplementary (they add to be 180 degrees). So,(3x+3)+(2x+4)-180=measure angle F, and 180-(7x-5)=measure angle F according to the rules respectively. Since both of these equations are equal (they both equal the measure of angle F) we can set them equal to each other to find the value of x=> 180-(7x-5)=(3x+3)+(2x+4)-180=> 180-7x-5=3x+3+2x+4-180. Now combine like terms=>175-7x=5x-173. Now, add 7x to both sides and add 173 to both sides to get the variables on one side of the equation=> 175+173-7x+7x=5x+7x-173+173 (the 7x and -7x on the left side and the 173 and -173 on the right side cancel out) =>348=12x. Divide both sides by twelve to find x=> 29=x. Now, plug 29 into what is given for angle FDE=> 2(29)+4=
58+4=
62 degrees
Can someone show me the answer and maybe the work
Answer:
Solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get [tex]\mathbf{\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}}[/tex]
Step-by-step explanation:
We need to solve the expression:
[tex]\frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3}[/tex]
We know the exponent rule: [tex](a^n)^m = a^{nm}[/tex]
[tex]\frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3}\\\\=\frac{y^2z^{\frac{1}{4}} }{z^{\frac{3}{2}}.x^3y^{\frac{9}{2} }}[/tex]
Now, another exponent rule says that: [tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
[tex]=\frac{y^{2-\frac{9}{2}} z^{\frac{1}{4}-\frac{3}{2} } }{x^3}\\=\frac{y^{\frac{4-9}{2}} z^{\frac{1-3*2}{4} } }{x^3}\\=\frac{y^{\frac{-5}{2}}z^{\frac{-5}{4} } }{x^3}[/tex]
We also know that: [tex]a^{-m}=\frac{1}{a^m}[/tex]
=[tex]\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}[/tex]
So, solving the expression \frac{y^2z^{\frac{1}{4}} }{(z^{\frac{1}{2}}.xy^{\frac{3}{2}})^3} we get [tex]\mathbf{\frac{1}{y^{\frac{5}{2} }x^3z^{\frac{5}{4} }}}[/tex]
Sara is saving her summer earning for a $500 school trip in the fall. She has $200 in her savings account at the beginning of June. Each week, Sara deposits $35 into her savings account. Sara wants to know how many weeks she needs to deposit her money?
Find the slope of a line that goes through the points (-5,8) and (-7,-5)
Answer:
[tex]m=\frac{13}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-5, 8)
Point (-7, -5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-5-8}{-7+5}[/tex]Subtract/Add: [tex]m=\frac{-13}{-2}[/tex]Simplify: [tex]m=\frac{13}{2}[/tex]Answer:
we will use the equation
(y2-y1)/ (x2-x1)
lets plug in our values
(-5-8)/(-7-(-5)
-13/-2
this answer is your slope value hope this helps
Step-by-step explanation:
-3(4x2)-2x please also show your work
Answer:
-24 - 2x
Step-by-step explanation:
-3(4x2)-2x
-3(8) - 2x
-24 - 2x