Answer:
it would just be 2000 * 1.075
Step-by-step explanation:
2150
Price = $2000
Sales tax
= 7.5% of Price
= 7.5% of $2000
= (7.5/100) × $2000
= 0.075 × $2000
= $150
Total price
= Price + Sales tax
= $2000 + $150
= $2150
need some help with math:)
From eq(1)
[tex]\\ \sf\longmapsto x=3-3y\dots(3)[/tex]
Putting the value in eq(2)
[tex]\\ \sf\longmapsto 3y-2(3-3y)=12[/tex]
[tex]\\ \sf\longmapsto 3y-6-6y=12[/tex]
[tex]\\ \sf\longmapsto -3y-6=12[/tex]
[tex]\\ \sf\longmapsto -3y=12+6[/tex]
[tex]\\ \sf\longmapsto -3y=18[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{18}{-3}[/tex]
[tex]\\ \sf\longmapsto y=-6[/tex]
Putting value in eq(3)
[tex]\\ \sf\longmapsto x=3-3(-6)[/tex]
[tex]\\ \sf\longmapsto x=3+18[/tex]
[tex]\\ \sf\longmapsto x=21[/tex]
x,y=(21,-18)Answer:
x=-3 & y=2
Step-by-step explanation:
x+3y=3----(i)
3y-2x=12----(ii)
Solving eqn--(i)
x+3y=3
or, x=3-3y---(iii)
Substituting the value of x from eqn --(iii) in eqn (ii) ,we get
3y-2x=12
or, 3y-2(3-3y)=12
or, 3y-6+6y=12
or,9y=18
y=18/9=2
Substituting the value of x in eqn--(iii),
x=3-3y=3-3*2=3-6=-3
In a round-robin chess tournament every player plays one game with every other player. Five participants withdrew after playing two games each. None of these players played a game against each other. A total of 220 games were played in the tournament. Including those who withdrew, how many players participated
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Answer:
26 players to start; 21 players after 5 withdrew
Step-by-step explanation:
We are told that the withdrawing players did not play against each other, so the total number of games they played was 5×2 = 10. Then the number of games played by the remaining players was 220 -10 = 210. When n players play each other, they play a total of n(n -1)/2 games. Here, that total is 210, so we have ...
n(n -1)/2 = 210
n^2 -n = 420 . . . . . . . . .multiply by 2
(n -1/2)^2 = 420.25 . . . . add 0.25 to complete the square
n = 1/2 +√420.25 = 0.5 +20.5 = 21 . . . . . square root and add 1/2
The number of participating players after 5 withdrew was 21. There were 26 players to start.
Which expression is equivalent to RootIndex 4 StartRoot x Superscript 10 Baseline EndRoot?
Answer:x2.2
Step-by-step explanation:
Rewrite the expression as the algebraic expression in x
Sin
(tan^-1(x))
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Answer:
sin(tan^-1(x)) = x/√(x² +1)
Step-by-step explanation:
We know that for an angle in a right triangle...
Tan = Opposite/Adjacent
and
Sin = Opposite/Hypotenuse
so we can let Opposite = x and Adjacent = 1. The Pythagorean theorem tells us that ...
Hypotenuse² = Opposite² + Adjacent² = x² +1
Then the sine of the angle is ...
sin(tan^-1(x)) = x/√(x² +1)
Kelly said that 97/1000 can be written as 0.97 is correct? Explain.
Answer:
No
97/1000 is the same as 97 divided by 1000
the decimal would be .097, not .97
If 6x + 5y = 10, what is y in terms of x?
Please include an explanation!
what you're trying to do is form an equation for y
6x + 5y = 10
5y = -6x + 10 we need y to be singular so divide by numeral before y
y = - 6x/5 + 10/5
y = - 6x/5 + 2
- Which of the following is the correct distance between the points (-5, 3) and (7,8)?
Answer:
13 units
Step-by-step explanation:
(x₁,y₁) = (-5 , 3) & (x₂ , y₂) = (7 ,8)
[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\[/tex]
[tex]= \sqrt{(7-[-5])^{2}+(8-3)^{2}} \\\\= \sqrt{(7+5)^{2}+(8-3)^{2}} \\\\= \sqrt{(12)^{2}+(5)^{2}}\\\\=\sqrt{144+25}\\\\=\sqrt{169}\\\\= 13[/tex]
Write the number in standard form as a decimal
Answer:
4.00810.1Step-by-step explanation:
I hope it will help youplease make me brainlestTHANK Uuse the given values
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Answer:
9-1623Step-by-step explanation:
Put the numbers in place of the corresponding variables and do the arithmetic.
√(2a) -b = √(2·8) -(-5) = 4 +5 = 9
-3ac +2b = -3(8)(1/4) +2(-5) = -6 -10 = -16
b² -8c = (-5)² -8(1/4) = 25 -2 = 23
HELP ME PLZZ NEED HELP
There are 6 red marbles, 9 blue marbles, and 10 green marbles in a bag.
What is the theoretical probability of randomly drawing a green marble?
10%
66.7%
40%
20%
Answer:
40%
Step-by-step explanation:
Total amount of marbles are 25
the chances of getting green marbles out of all the marbles are 10/25 or 0.4
and since we are looking for percentages we have to multiply 0.4 by 100
0.4 x 100 = 40
Solve for X
Answer choices
4
5
8
3
2
Answer:
8
Step-by-step explanation:
-3x+143=119
-3x=119-143
-3x=-24
x=-24/-3
x=8
any equations that equal three?
The pattern 96, 92, 88, 84, ________ follows the "subtract 4" rule. Study the pattern to find traits that are not obvious in the rule. Explain.
pleas in one or 2 sentences
what is the product of .4 x .38
Answer:
0.152
Step-by-step explanation:
0.4 × 0.38
→ Multiply 0.4 by 10
0.4 × 10 = 4
→ Multiply 0.38 by 100
38
→ Multiply the 2 answers together
4 × 38 = 152
→ Divide by the answer by 1000
152 ÷ 1000 = 0.152
A number, x, increased by 5 is the same
as twice the same number, decreased
by seven.
Answer:
n = 12
Step-by-step explanation:
n + 5 = 2n - 7
7+5=2n-n
12=n
12+5=2(12)-7
The expression is 3 (x+4)-(2x+7) what is that equivalent too
Answer:
x+19
Step-by-step explanation:
3x+12 - 2x+7 = x+19
Answer:
x-19
Step-by-step explanation:
expand the brackets
3x+12-2x-7
3x-2x-12-7
x-19
A lottery ticket has a grand prize of $41.7 million. The probability of winning the grand prize is .000000023. Determine the expected value of the lottery ticket. (Round your answer to 3 decimal places.) Expected value
Answer:
000023 because if we take three 0's we can get 000023 and 417 million
what is b x b equialent to?
Answer:
b^2
Step-by-step explanation:
You're going to add the exponents from b x b, both carry a 1 in their powers (or exponents)
so b^1 + b^1 = b^2
Answer:
b^2
Step-by-step explanation:
b*b = b^2
Evaluate the equation
9!/6!3!
Which of these numbers are greater than 24? Check all that apply.
O A. 12
B. 15
O C. 42
D. 41
E. 13
D F. 18
Answer:
A, B, E, F
Step-by-step explanation:
24>12, 24>15, 24>13, 24>18, 24<42, 24<41
Natalie's team needs to make a decision on how to handle a big product recall. People on the team have a lot of strong opinions. Management wants everyone to come to a consensus and to find a solution that everyone can support. What's the best way to get to a consensus?
a) Everyone on the team talks until the entire team agrees on one decision. O b) Everyone on the team discusses options and then votes. Oc) The team passes the decision-making responsibility to an outside person. O di The team leader makes a decision without input from the other members.
Answer:
a) Everyone on the team talks until the entire team agrees on one decision.
Step-by-step explanation:
Option B consists of voting and not everyone would like the outcome. Option C is making an outsider the decision maker, which can't be helpful since he / she won't have as strong opinions as the team itself. Option D is just plain wrong as it defeats the purpose of team work and deciding as one team. So, I believe option A makes the most sense
sipho's dad used 4/11 of the packet of oranges to make juice.The next day he used another 4/11 of the packet of oranges.How many eleventh were left of the pocket of oranges?
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Answer:
3/11 were left
Step-by-step explanation:
A packet of oranges is 11/11. Subtracting 4/11 +4/11 = 8/11 from that leaves ...
11/11 -8/11 = (11 -8)/11 = 3/11
3 elevenths were left.
A chemical company makes two brands of antifreeze. The first brand is
55%
pure antifreeze, and the second brand is
80%
pure antifreeze. In order to obtain
130
gallons of a mixture that contains
70%
pure antifreeze, how many gallons of each brand of antifreeze must be used?
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Answer:
52 gallons of 55%78 gallons of 80%Step-by-step explanation:
Let x represent the quantity of 80% solution. Then the quantity of 55% solution is (130-x) and the total amount of antifreeze in the mix is ...
0.55(130 -x) +0.80(x) = 0.70(130)
0.25x +71.5 = 91 . . . simplify
0.25x = 19.5 . . . . . . subtract 71.5
x = 78 . . . . . . . . . . . divide by 0.25; amount of 80%
130-78 = 52 . . . . amount of 55%
52 gallons of the 55% brand, and 78 gallons of the 80% brand must be used.
Layla guesses on all 20 questions of a multiple-choice test. Each question has 4 answer choices. What is the probability of a success and a failure for this experiment?
Step-by-step explanation:
what is the criteria for success ? how many questions must be right ? and how many must be wrong for failure ?
if success means all answers right, then she has 4 choices on the first question to pick one right answer. and then for each of those again 4 choices on the second question and so on.
so, all possible outcomes are 4²⁰.
that means the probability to guess all 20 right is
1/4²⁰
a tiny, tiny number.
and the probabilty to have all wrong ?
she has 4 choices to pick 1 of 3 wrong answers.
so, the probability is 3/4 to answer the first question wrong.
for that she has again then the same chance to get the second question wrong too.
so, it is 3/4 × 3/4 = 9/16
and so on.
the probability to guess all 20 wrong is then
(3/4)²⁰ ≈ 0.0032
that is still a small number but much, much larger than the probability to get everything right.
still, even the goal to truly get everything wrong is highly unlikely.
Find f(a), f(a + h), and the difference quotient f(a + h) − f(a) h , where h ≠ 0.
f(x) = 2 − 4x
Answer:
-4
Step-by-step explanation:
(f(a+h)-f(a))/h=(2-4(a+h)-2+4a))/h=-4h/h=-4
Find the missing side length. Leave your answers radical in simplest form. PLEASE HURRY
Answer:
m=3*sqrt(2) and n=3
Step-by-step explanation:
tan(45)=3/n
1=3/n, n=3. As it's a right angled triangle, 3^2+3^2=m^2, m=3*sqrt(2)
A variety of trigonometric functions are shown in the answer choices below.
Which trigonometric function has an inverse over the domain x2≤x≤3x2
A-f(x)=cos(x−1/2)+3/2
B-f(x)=cos(x+π/2)
C-f(x)=sin(x−1/2)+3/2
D-f(x)=sin(x+π/2)
Write the factors of [tex] {a}^{3} + {b}^{3} .[/tex]
Step-by-step explanation:
[tex]a {}^{3} + b {}^{3} [/tex]
Notice how that for both a and b are raised to an odd power. This means we can factor this by a binomial raised to an odd power.
Let divide this by
[tex]a + b[/tex]
Since that is also a odd power.
[tex]( {a}^{3} + {b}^{3} ) \div (a + b)[/tex]
We get
a quotient of
[tex]( {a}^{2} - ab + {b}^{2} )[/tex]
So our factors are
[tex](a + b)( {a}^{2} - ab + {b}^{2} )[/tex]
Answer:
[tex](a+b)(a^{2} -ab+b^{2} )[/tex]
Step-by-step explanation:
[tex]\textbf{We need to factor this expression}[/tex] [tex]\textbf{by applying the sum of two cubes rule:}[/tex]
[tex]\Longrightarrow[/tex] [tex]A^{3} +B^{3} =(A+B)(A^{2} -AB+B^{2} )[/tex]
Here,
A= a
B= b
So, [tex](a+b)(a^{2} -ab+b^{2} )[/tex]
[tex]\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto\leadsto[/tex]
[tex]\textsl{OAmalOHopeO}[/tex]
if I have to add 97 oz of algaecide to 10,000 gallons of water how much should I add if I only have 200 gallons of water
Answer:
1.94 oz
Step-by-step explanation:
x/97 = 200/10000
97*200 = 10,000x
19400 = 10,000x
1.94 oz
You can also do it this way:
200/10000 = 0.02
0.02 * 97 = 1.94
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Trig experts...help! Will give brainly!
64°
Step-by-step explanation:
The 36-ft distance can be regarded as the opposite side of the triangle formed by the leaning ladder while its length of 40 ft is the hypotenuse. So using the definition of a sine of an angle, we know that
[tex]\sin \theta = \dfrac{opposite}{hypotenuse} = \dfrac{36\:\text{ft}}{40\:\text{ft}}[/tex]
or
[tex]\theta = \sin^{-1}\left(\dfrac{36}{40}\right) = \sin^{-1}(0.9)[/tex]
[tex]\:\:\:\:=64°[/tex]
