Answer:
83 x 391 - 83 x 15 = 83 x (391 - 15)
Step-by-step explanation:
BODMAS is stands for Bracket Of Division Multiplication Addition and Subtraction.
left hand side:
83 × 391 - 83 × ____ = 32453 - 83 × ____
right hand side:
83 × (391 - 15) = 83 × 376 = 31208
equating both sides
32453 - 83 × ____ = 31208
32453 - 31208 = 83 × ____
1245 ÷ 83 = 15
hence the answer is 15.
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4. If u = {1,2,3,....10) A = { odd numbers up to 9} B = {numbers less than 7). Write out the members of the following sets: (i) AUB (ii) An B (ii) A(prime) U B
Answer:
i. {1,2,3,4,5,6,7,9}
ii. {1,3,5}
iii. {1,2,3,4,5,6,8,10}
Step-by-step explanation:
U= {1,2,3,4,5,6,7,8,9,10}
A= {1,3,5,7,9}
B= {1,2,3,4,5,6}
A U B = {1,2,3,4,5,6,7,9}
A n B = { 1,3,5}
A (prime) U B =
A(prime)= {2,4,6,8,10}
Therefore A(prime)= {1,2,3,4,5,6,8,10}
The ratio of Michaels's points on an English test to Paloma's points on the same test is 12:11. The ratio of Michaels's points on the English test on the same test was 4:3. the 3 students score a total of 224 points on the same test. What is the difference between Palomas and Antons' points on the English test? Try to explain fully, if possible. Thank you SO MUCH!
The difference between Palomas and Antons' points on the English test is of 14 points.
What is Ratio ?When two numbers can be written in the form as p:q , they are said to be in Ratio.
It is given that
The ratio of Michaels point to Paloma point is 12 :11
The ratio of Michaels point to Anton's Point is 4:3
Let Paloma's point be x
then Michaels point will be 12x/11
and Anton's points will be
(12x/11 ) / Anton's points = 4 /3
Anton's points = 9x/11
It is given that the sum of the points of the three students is 224
so
x + (12x/11)+ (9x/11) = 224
32x /11 = 224
x = 77
Paloma's points = 77
Anton's Points = 9x/11 = 63
The difference between Palomas and Antons' points on the English test
=77 -63
= 14 points.
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what is 5xy-x^2t+2xy+3x^2t
Answer:
x • (2xt + 7y)
Step-by-step explanation:
1. ((5xy-((x2)•t))+2xy)+(3x2•t)
2. Pull out like factors :
2x2t + 7xy = x • (2xt + 7y)
Final result
x • (2xt + 7y)
Answer:
[tex]7xy + {x}^{2} t[/tex]
Step-by-step explanation:
[tex](5xy + 2xy) + ( - 2 {x}^{2} t + 3 {x}^{2}t) [/tex]
Solve the system of equations.
y = -2x + 5
y = x^2 + 3x +9
a. (-1,7), (-4,13)
b. (-1,-3), (-4,3)
c. (-1,13), (-4, 7)
d. (1,3), (4,13)
Answer:
A
Step-by-step explanation:
y = - 2x + 5 → (1)
y = x² + 3x + 9 → (2)
substitute y = x² + 3x + 9 into (1)
x² + 3x + 9 = - 2x + 5 ( subtract - 2x + 5 from both sides )
x² + 5x + 4 = 0 ← in standard form
(x + 1)(x + 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 4 = 0 ⇒ x = - 4
substitute these values into (1) for corresponding values of y
x = - 1 : y = - 2(- 1) + 5 = 2 + 5 = 7 ⇒ (- 1, 7 )
x = - 4 : y = - 2(- 4) + 5 = 8 + 5 = 13 ⇒ (- 4, 13 )
Tariq also designs hot tubs. The diameter of the hot tub is 3 meters. What is the area of the deck that surrounds the hot tub? If necessary, round to the nearest tenth.
The area of the deck that surrounds the hot tub is 17.93 m²
What is Area?
The area is the amount of space within the perimeter of a 2D shape.
radius = 3/2 = 1.5 m
Area of deck,
=Area of square - area of circle
= side side- πr²
=5*5 - 3.14* 1.5*1.5
= 25- 7.065
= 17.93 m²
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Determine the intercepts of the line.y=−2x−21
help please now
Answer:
( -10.5 , 0 ) and ( 0 , -21 )
Step-by-step explanation:
→ Determine where a line intersects
x and y intercept
→ Set x equal to 0 to find y - intercept
( 0 , -21 )
→ Set y equal to 0 to find x intercept
0 = -2x - 21
→ Add 21 to both sides
21 = -2x
→ Divide both sides by -2
-10.5 = x
determine which equation is parallel and perpendicular to jk
None of the equations are parallel or perpendicular to the line jk.
How to know equations that are parallel and perpendicular?The equation of a line can be interpreted as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore,
Parallel lines have the same slope(m).
Perpendicular line follows the principle below:
m₁ m₂ = -1Therefore, let's find equation of jk
(-5, 5)(1, -5)
m = -5 - 5 / 1 + 5 = -10 / 6 = - 5 / 3
using (1, -5)
-5 = - 5 / 3 (1) + b
b = -5 + 5 / 3 = -15 + 5 / 3 = -10 / 3
Therefore,
y = -5 / 3 x - 10 / 3
m = - 5 / 3
6x + 10y = 11
10y = -6x + 11
y = - 6 / 10 x + 11 / 10
y = - 3 / 5 x + 11 / 10
hence, m = - 3 / 5
5x - 3y = 8
3y = 5x - 8
y = 5 / 3 x - 8/3
m = 5 / 3
The equation
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Tahir purchase to toys for his children he buyS spider-man and barbie doll for rs. 3,000 and rs. 5,000 respectively if a discount of 20% is offered on all toys find amount of discount in the sale price for each toy
For the spider man the discount is of rs600, for the doll the discount is of rs1,000.
How to find the amount of discount for each toy?We know that the price of the spider-man is rs3,000, and we apply a discount of the 20%.
So the amount of discount for that toy is the 20% of rs3,000, which gives:
(20%/100%)*rs3,000 = rs600
So the amount discounted for the spider-man is rs600.
For the case of the doll, we know that its cost is rs5,000, the amount discounted is:
(20%/100%)*rs5,000 = rs1,000
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1. Decide if the following is a properly formed syllogism. If you are going to wrap Holly’s gift, you need wrapping paper. If you need wrapping paper, you have to go to the store. Therefore, if you go to the store, then you’re going to wrap Holly’s gift.
A) This is a syllogism.
B) This is not a syllogism.
This is not a syllogism. Hence option B is correct.
What is a syllogism?A logical structure for a formal argument that includes a major, minor, and conclusion.
This syllogism cannot be concluded without a given statement.
You'll need wrapping paper if you're going to wrap Holly's present. To get wrapping paper, you must visit a store.
Therefore, you will wrap Holly's present if you visit the store. This isn't a syllogism
Hence option B is correct.
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Answer:
This is not a syllogism
Step-by-step explanation:
I took the quiz. :)
Mike has a large amount of chocolate spheres, each chocolate sphere having a radius of 2 inches.
The value of the expression Z² + Q² is 4321
How to evaluate the expression?The radius of the chocolate spheres is given as:
r = 2
The maximum number of chocolates that can fit in a spherical capsule is calculated as:
Max = R³/r³
Where:
R represents the radius of the sphere.
For the spherical capsule whose radius is 8 inches, we have:
Z = 8³/2³
Evaluate
Z = 64
For the spherical capsule whose radius is 5 inches, we have:
Q = 5³/2³
Evaluate
Q = 15.625
Remove decimal
Q = 15
So, we have:
Z² + Q² = 64² + 15²
Evaluate the exponent
Z² + Q² = 4096 + 225
Evaluate the sum
Z² + Q² = 4321
Hence, the value of Z² + Q² is 4321
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Calculate the a) total tax rate, and b) sales tax.
The total tax rate and the sales tax will be given below.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Total selling price (TSP), State tax rate (STR), City tax rate (CTR), Total tax rate (TTR) and Sales tax (ST).
The table complete table is given below.
Item TSP STR CTR TTR ST
Clothing $81.39 3% 0% 3% $2.44
Cell phone $159.95 5% 0% 5% $7.99
MP3 player $195.55 4% 2% 6% $11.73
Computer $1599.75 4.88% 1.50% 6.38% $102.06
Take-out $49.85 8.13% 2.50% 10.63% $5.29
Pickup truck $38,526.42 6.50% 1.25% 7.75% $2985.79
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HELP
Can someone help me with number 26 plss
Answer:
(-2,-9)
(-1,8)
(0,-5)
(1,0)
(2,7)
Step-by-step explanation:
Jacob traveled 171 miles in 3.8 hours. He wants to know how many miles he traveled in one hour, so he set up this problem:
171 divided by 3.8
Jacob started by multiplying the divisor and the dividend by 10. This is the new problem:
1710 divided by 38
Use long division to find the quotient.
0.45
4.5
45
450
The answer is 45
------------------------------------------------------------
If x is increased by 25% then, by what % is x² increased
By analytical methods and algebraic handling and on the basis that x is increased by 25 %, we conclude that the variable x² is increased by 18.75 %.
How to determine the percentage increase rate
In this case we have a linear variable x, whose increase is described by the following expression:
y = x · (1 + r/100) (1)
Where r is the increase rate.
If we square (1), then we find that:
y² = x² · (1 + r/100)² = (1 + r'/100) (2)
Where r' is the equivalent increase rate.
(1 + r/50 + r²/10000) = (1 + r'/100)
r'/100 = r/50 + r²/10000
r' = r/2 + r²/100
If we know that r = 25, then the equivalent increase rate is:
r' = 25/2 + 25²/100
r' = 18.75
By analytical methods and algebraic handling and on the basis that x is increased by 25 %, we conclude that the variable x² is increased by 18.75 %.
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Define the hypothesis and the conclusion of the following conditional statement.
Conditional Statement: All kids who wear braces will have straight teeth.
The hypothesis will be that "If a kid wears braces, then the kid will have a straight teeth".
What is hypothesis?It should be noted that a hypothesis means a proposed explanation based on reasoning and evidence.
In this case, the hypothesis will be that "If a kid wears braces, then the kid will have a straight teeth".
The conclusion is that kids who wear braces will have straight teeth.
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What makes the set of intergers different from the set of whole numbers
Answer:
integers include negative numbers, whole numbers are only 0 and positive numbers.
Step-by-step explanation:
whole numbers are very similar to integers as they do not have a decimal place although whole numbers are from 0, 1, 2, 3.... and so on whereas integers include negative numbers as well. So all whole numbers are integers but not all integers are whole numbers.
PLEASS HELP!!
3 folders cost $2.91.
Which equation would help determine the cost of 2 folders?
Answer:
The answer is B
Step-by-step explanation:
By proportion , 3 : 2.91 = 2: x . then you write it in fraction
Combine the radicals 4√7 + 3√28
Answer:
10√7
Step-by-step explanation:
you can simplify the second radical and break it up into
√4 * √7 which then simplifies to 2√7 which you then multiply by 3. 4√7 + 3(2√7) which becomes 4√7 + 6√7 and then you just add the numbers Infront to get 10√7
Tristan has a points card for a movie theater.
He receives 25 rewards points just for signing up.
He earns 8.5 points for each visit to the movie theater.
He needs at least 110 points for a free movie ticket.
Write and solve an inequality which can be used to determine vv, the number of visits Tristan can make to earn his first free movie ticket.
Tristan needs to make at least 10 visits to the movie theater to earn his first free movie ticket.
Let v be the number of visits Tristan makes to the movie theater.
He receives 25 rewards points just for signing up, and he earns 8.5 points for each visit. So, the total rewards points he will have is
25+8.5v.
He needs at least 110 points for a free movie ticket. Therefore, we can write the inequality:
25+8.5v≥110
To solve for v, we can subtract 25 from both sides of the inequality and then divide by 8.5:
8.5v≥85
v≥85/8.5
v≥10
So, Tristan needs to make at least 10 visits to the movie theater to earn his first free movie ticket.
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This is the last question PLSSSSS HELP
Answer:
D
Step-by-step explanation:
The volume of a cylinder is pi * r^2 * h
A) V = 3.14 * (0.7/2)^2 * 6.2 = 2.4 m^2
B) V = 3.14 * (0.9/2)^2 * 3.4 = 2.2 m^2
C) V = 3.14 * (1.2/2)^2 * 6.8 = 7.7 m^2
D) V = 3.14 * (1.4/2)^2 * 6.2 = 9.5 m^2
PLEASE HELP
How many integers are there on the number line between $2\sqrt{10}$ and $10\sqrt{2}$?
Answer:
8
Step-by-step explanation:
To one decimal place:
[tex]2 \sqrt{10} = 6.3[/tex]
[tex]10 \sqrt{2} = 14.1[/tex]
So there are eight integers between 2√10 and 10√2: 7, 8, 9, 10, 11, 12, 13, and 14.
Shapes F and G are similar
Shape F has a perimeter of 180mm and an area of 2196mm².
Shape G has a perimeter of 300mm
Work out the area of shape G.
Give your answer to 1.d.p if decimal
Shape F has a perimeter of 180mm and an area of 2196mm² is similar to shape G with perimeter 300mm then area of shape is 6100mm².
As given,
Shapes F and G are similar
Perimeter of shape F=180mm
Area of shape F=2196mm²
Perimeter of shape G=300mm
Let xmm²be the area of shape G
Square of ratio of perimeter of similar shape =Ratio of area of similar shape
⇒(180 /300)² =(2196/x)
⇒9/25=2196/x
⇒x=(2196×25)/9
⇒x=6100mm²
Therefore, shape F has a perimeter of 180mm and an area of 2196mm² is similar to shape G with perimeter 300mm then area of shape is 6100mm².
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A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and females:
Male Female Total
Income over $50,000 475 375 850
Income below $50,000 75 75 150
Total 550 450 1,000
Based on these data, are "being female" and "earning over $50,000" independent events?
Yes, P(being female | the person earns over $50,000) = P(being female)
Yes, P(being female | the person earns over $50,000) ≠ P(being female)
No, P(being female | the person earns over $50,000) = P(being female)
No, P(being female | the person earns over $50,000) ≠ P(being female)
Based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Two events, A and B are independent, if:
P(A [tex]\cap[/tex] B) = P(A) P(B)
In this problem, the events are:
Event A: Being female.Event B: Earning over $50,000.Out of the 1000 people, 450 are female, hence:
P(A) = [tex]\dfrac{450}{1000}[/tex] = 0.45
850 earn over $50,000, hence:
P(B) = [tex]\dfrac{850}{1000}[/tex] = 0.85
375 are women who earn over $50,000, hence:
P(A [tex]\cap[/tex] B) = [tex]\dfrac{375}{1000}[/tex] = 0.375
The multiplication of the probabilities is:
P(A [tex]\cap[/tex] B) = 0.45(0.85} = 0.3825
Therefore based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.
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Jacob traveled 171 miles in 3.8 hours. He wants to know how many miles he traveled in one hour, so he set up this problem:
Answer:
so first we have to divide each side by 38
4.5miles=0.1
45miles=1 hour
Hope This Helps!!!
During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea should the caterer bring if there are 16 cups in one gallon?
Answer:
30
Step-by-step explanation:
4 cups x 60 hours a min x 2 hours of lunch ÷ 16 cups per gallon = 30 gallons
The answer is 30 gallons.
Firstly, convert the hours to minutes so you know how many minutes you're working with. 2*60=120 minutes.
Then, multiply 120 with 4 to get the number of tea (in cups) that is poured. 120*4=480 cups.
Finally, divide 480 cups with 16 cups to find out the number of gallons poured. 480/16 equals 30 gallons.
Hope this helped.
The function y=3^x is called an_______ function because the exponent is a _______. Now, let’s look at how to graph the exponential function y=3^x
The function is called an exponential function became the exponent is a variable.
The function is called an exponential function became the exponent is a variable.
What is an exponential function?An exponential function is a Mathematical function in the form f (x) = aˣ, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
So, here given a fill in the blank statement, we need to find the words to be filled in the blanks,
So, the whole statement is =
The function is called an exponential function became the exponent is a variable.
The function y = 3ˣ is an exponential function because it is having a power which is a variable.
The graph of the same is attached to the solution.
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pls hurry i really i need to finish
The number of boys who signed up to play winter basketball is 175 percent of what it was last year. if 320 boys played winter basketball last year, how many signed up to play this year?
The number of boys signed up to play basketball this year is 560.
Given that, the number of boys who played basketball last year = 320.
We need to find the number of boys signed up to play basketball this year.
What is a percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100.
Now, the number of boys signed up to play basketball this year = 175 per cent of what it was last year.
So, the number of boys signed up to play basketball this year = 175% of 320
[tex]=\frac{175}{10} \times 320=1.75 \times 320=560[/tex]
Therefore, the number of boys signed up to play basketball this year is 560.
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y-2-√x-6
what is the domain of this function?
What is the standard form of 0.00849
Answer:
8.49 × 10⁻³
Explanation:
Standard form of a number: A. × 10ᵇ
(where 'A' is the number, b is the exponent over 10)
For the number "0.00849", move the decimal point 3 places right so the exponent of 10 is -3.
Standard form: 8.49 × 10⁻³
Other examples of standard/scientific forms are: standard forms
i) 0.043, move the decimal point 2 places right = 4.3 × 10⁻²
ii) 4030, move the decimal point 3 places left = 4.03 × 10³
Answer:
when a number is given in that manner you have to take that decimal between two whole numbers.
and that is the main reason why I took that decimal from 0.0 to 8.49 and since it went towards the right my answer is going to be 8.49 *10 raised to negative 3.
