Answer:
x =53.85
Step-by-step explanation:
Let x be the original price
If the price is 22% of, you will pay 100% -22% = 78%
x * 78% = 42
Change to decimal form
.78x = 42
Divide each side by .78
.78x/.78 = 42/.78
Rounding to the nearest cent
x =53.85
what is the decimal expansion for 7 over 9
Answer:
0.77777777......
Step-by-step explanation:
You divide them. Hope I helped!
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{1.2.3.4.5} set builder
Step-by-step explanation:
A set-builder notation describes or defines the elements of a set instead of listing the elements. For example, the set { 1, 2, 3, 4, 5, 6, 7, 8, 9 } list the elements. The same set could be described as { x/x is a counting number less than 10 } in set-builder notation.
If three fifths of the 45 students in the math class do not like working with
fractions, how many of the students like working with fractions?
Answer:
18
Step-by-step explanation:
Two fifths like working with fractions.
2/5x45/1=90/5
Hope I helped!
which value represents solutions to cos(π/4-x) = √2/2sinx, where x [0, 2π)
The solution of the trigonometric equation are, [tex]x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
Trigonometric equation:
Given equation are,
[tex]cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx[/tex]
We know that, [tex]cos(A-B)=cosA cosB+sinAsinB[/tex]
[tex]cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx\\\\cos\frac{\pi}{4} *cosx+sin\frac{\pi}{4} *sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx+\frac{\sqrt{2} }{2}sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx=0\\\\cosx=0\\\\x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
Hence, The solution of the trigonometric equation are, [tex]x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
Learn more about the trigonometric equation here :
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what is a square of 1.5cm
Answer:
a square with 1.5 cm width and height
Answer:
2.25
Step-by-step explanation:
1.5 * 1.5 = 2.25.
what type of angle is 2??
a. Alternate Exterior
b. Alternate Interior
c. Corresponding
d. Linear Pair
e. Same-Side Exterior
f. Same Side Interior
g. Vertical Angles
h. No Relationship
Answer:
Vertical Angles...............
if l || m,find the value of x, (8x + 20) (11x-31)
Answer:
x=17
Step-by-step explanation:
8x+20=11x-31
We simplify the equation to the form, which is simple to understand
8x+20=11x-31
We move all terms containing x to the left and all other terms to the right.
+8x-11x=-31-20
We simplify left and right side of the equation.
-3x=-51
We divide both sides of the equation by -3 to get x.
x=17
Answer:
17
Step-by-step explanation:
8x + 20 = 11x - 31
-8. -8
20 = 3× - 31
+31. +31
51 = 3x
/3. /3
x = 17
Consider the following sequence of successive numbers of the 2k -th power: 1, 2²^k , 3²^k , 4²^ k , 5²^k , ... Show that the difference between the numbers in this sequence is odd for all k ∈ N.
Answer:
The difference between two consecutive numbers in this sequence would be something like:
(2n + 1)^(2*k) - (2n)^(2k)
(or in the other order, but is essentially the same)
where n is an integer number.
Then:
2*n is an even number
2*n + 1 is an odd number.
(2n)^(2k) = 2*(2^(2k-1)*n^(2k)) this will be even for any natural number k.
(2n + 1)^(2k)
Let's suppose that k = 1.
Then we have:
(2n + 1)^(2) = (2n + 1)*(2n + 1) = (2n)^2 + 4n + 1 = 2*(2n^2 + 2n) + 1
If (2n^2 + 2n) is an integer (and it is) we can rename it as N
(2n + 1)^(2) = 2*N + 1
It is still odd.
Now if k = 2, we will have:
(2n + 1)^(2*2) = (2n + 1)^(4)
And using what we found above, we can rewrite this as:
(2*N + 1)^2
And we know that this will be odd.
Then we can already see that:
(2n + 1)^(2k) will be odd for any value of k (where k is a natural number)
Then:
(2n + 1)^(2k) - (2n)^(2k)
Is the difference between an odd number and an even number, and this will always be an odd number.
In need of help for geometry
Solve this equation.
[tex]\frac{x + 4}{6x} = \frac{1}{x}[/tex]
A. x = -2
B. x = 0, -2
C. x = 2
D. x = 0, 2
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $40 million after 4 years, while profits increased $30 million per year. Select the correct graph of this function. (2 points)
A)There is a graph of a line that has a y intercept that is approximately $80 million and passes through the point of approximately x equals 2 years and y equals $140 million.
B)There is a graph of a line that has a y intercept that is approximately negative $80 million and an x intercept that is approximately 2.7 years.
C)There is a graph of a line that has a y intercept that is approximately negative $45 million and an x intercept that is approximately 2 years.
D)There is a graph of a line that has a y intercept that is approximately negative $45 million and an x intercept that is approximately 0.6 years.
Answer:
I am not really good at this but...if I had to choose the ones that make sense
A and B
Step-by-step explanation:
Your are incresing the amount is going up, so if you go backwards you woild have to the negatuves.
Then again I woild not trust my math for the second answer cause I am no good at math.
In a survey of 2,300 people who owned a certain type of car, 1,150 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
65%
Step-by-step explanation:
To find percentage, take the number out of the whole number, and divide it by the whole number. In this case, 1495 out of 2300 said they are satisfied. To find the percent, we have to do 1495/2300=0.65, which is 65%.
Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are . If point D divides in the ratio 4 : 5, the coordinates of point D are .
Answer:10,-4 and 58/9,-2
Step-by-step explanation:
Plato users
What is the missing side? Round your answer to the nearest hundredth if necessary .
Answer:
20......................
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The tape diagram represents an equation.
20
9
9
Write an equation to represent the tape diagram.
Choose 1 answer:
А
20 = 9:2
B
20 = 2g
Find the value of g that makes the equation true.
9
Answer:
B.
g= 10
Step-by-step explanation:
What value(s) of x will make x2 = 36 true?
Answer:
x²=36
x²=6²
equating both squares
x=6
so, b is correct answer
The solution of the given quadratic equation is x=6 and x=-6.
The given equation is x²=36.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given equation can be solved as follows
Now, x²=36
Square root on both the sides, we get
x=±√36
⇒ x=±6
So, x=6 and x=-6
Hence, the solution of the given quadratic equation is x=6 and x=-6.
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What is the equation of the line that passes through the point (5,2) and has a slope
of -3/5
Answer:y = -0.6x + 5
Step-by-step explanation:
Answer:
yessir the one on top is right btw
Step-by-step explanation:
hope this helped
you have a bill of $56.40. find a 15% tip?
Answer:
$8.46
Step-by-step explanation:
15%=0.15
56.40(0.15)
8.46
f(x) = x g(x) = 1
What is the domain of (
g
f
) (x)?
Answer:
[tex]x\neq 0[/tex]
Step-by-step explanation: the domain[tex]0[/tex]⇒[tex]x{}[/tex]∈[tex]R[/tex]-{0}
What is your average speed in miles per hour and in feet per second if you travel a mile in 18 minutes?
Answer:
3.3 mph
4.84 ft/s
Step-by-step explanation:
Convert 1 mile into feet and 18 minutes into seconds. You should get 4.84 then convert 4.84 ft/s into mph.
What is 20 divided by 740 with remainder
Answer:
37 R0
Step-by-step explanation:
740/20=37, so there is no remainder.
I hope this helps you! Have a great day c:
Dividing 20 by 740 gives us remainder 20 and quotient 0.
To find the result of 20 divided by 740 with a remainder,
Perform the division and take note of the quotient and remainder.
20 ÷ 740 = 0 with a remainder of 20.
Division is a mathematical operation that involves splitting a number (the dividend) into equal parts,
with a divisor indicating how many parts we want to split it into.
The quotient is the number of equal parts, and the remainder is what's left after have split the dividend into as many equal parts as possible.
20 divided by 740, we are trying to find out how many times 740 can fit into 20.
Since 740 is much larger than 20, it cannot fit even once.
So, the quotient is 0, indicating that 0 whole units of 740 can fit into 20.
However, there is a remainder of 20.
The remainder represents the portion of 20 that cannot be evenly divided by 740.
It is what remains after we have divided the dividend by the divisor as many times as possible.
Therefore, 20 divided by 740 is 0 with a remainder of 20.
learn more about remainder here
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Please help ASAP
Complete the explanation to determine whether each statement is always, sometimes, or never true. If line d is perpendicular to line e, then the slope of line e is 0.
If line d is vertical, then line e is (parallel, vertical, or horizontal) and has a slope of 0. The statement is (always, sometimes, or never) true.
Answer:
Step-by-step explanation:
We know that, two lines with same slope are parallel.
Thus two lines with same positive slopes are parallel.
⇒Two lines with positive slopes are sometimes parallel.
Two lines with same slope can never be perpendicular to each
other as they must be parallel.
One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 % of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If the garage is robbed, what is the probability the doors ware left open
Answer:
If the garage is robbed, the probability the doors ware left open is 0.625.
Step-by-step explanation:
Denote the events as follows:
X = garage doors open
Y = something is stolen
The information provided is:
P (X) = 0.25
P (Y|X) = 0.05
P (Y|X') = 0.01
Compute probability that the garage is robbed as follows:
[tex]P(Y)=P(Y|X)P(X)+P(Y|X')P(X')\\\\=(0.05\times 0.25)+(0.01\times (1-0.25))\\\\=0.0125+0.0075\\\\=0.02[/tex]
Compute the probability the doors ware left open given that the garage is robbed as follows:
[tex]P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}\\\\=\frac{0.05\times 0.25}{0.02}\\\\=0.625[/tex]
Thus, if the garage is robbed, the probability the doors ware left open is 0.625.
Use the diagram to solve. What is 260% of 6? Percent Total 100% 100% 20% 20% 20% 260% 3.6 9.6 15.6 21.6
Answer:
To find this, multiply 6 by the decimal value of the percent.
6*2.6=15.6
Final answer: 15.6
Step-by-step explanation:
Answer:
15.6 or c
Step-by-step explanation:
2. Sara decided to look at new and used vans. Sara found a used van for $3000. A new van is $1500, so what percent of the price of a new van does Sara pay for a used van? Round your answer to the nearest whole number if necessary.
help me please
Answer:
50%
Step-by-step explanation:
Half of 3,000 is 1,500 so she would be paying half, or 50%
2p(9p − 1) pls help will give brainiest
Answer:
18p^2-2p
Step-by-step explanation:
You need to distribute
2*9= 18, p*p= p^2 so 18p^2
Then
2*-1= -2 and you need to include the p so -2p
Given: ΔABC
m∠1=m∠2
D∈ AC , BD = DC
m∠BDC=100°
Find: m∠A, m∠B, m∠C
Answer:
m∠A = 60°, m∠B = 80°, m∠C = 40°Step-by-step explanation:
Since BD = DC, the triangle BDC is isosceles, so
m∠C = m∠2Having m∠BDC = 100°, we can find m∠C
m∠C = 1/2(180° - 100°) = 1/2(80°) = 40°Finding angle B
m∠B = m∠1 + m∠2 = 2*m∠2= 2*40° = 80°Finding angle A
m∠BDA = 180° - m∠BDC = 180° - 100° = 80°m∠A = 180° - (m∠1 + m∠BDA) = 180° - (40° + 80°) = 180° - 120° = 60°Answer:
m<A=60 degrees, m<B=80 degrees, m<C=60 degrees.
Step-by-step explanation:
heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Find the measures of the angles.
(8x-1)º
(3x + 4)º
(3x + 9)
°
95, 40, 45
90, 25, 65
80, 52, 48
70, 68, 42
Answer:
answer is - 95, 40, 45
Step-by-step explanation:
Since the interior angles of a triangle add up to be 180 degrees, I set up the equation like so:
(8x-1)+(3x + 4)+(3x + 9) = 180
=> 14x +12 = 180
=> 14x = 180-12
=> x = 168/14 = 12
now putting value of x = 12
we get---
8*12 -1 = 96-1 = 95
3*12 + 4 = 36+4 = 40
3*12 + 9 = 36 + 9 = 45
( Answer )
Ariel and her friends purchased some drinks and pizza slices at the snack bar. Each drink cost $2, and each pizza slice was $4. They purchased 9 items and spent a total of $28. Write a system of equations to represent this situation, using d to represent the number of drinks, and p to represent the number of pizza slices
Answer:
[tex]\left\{ \begin{array}{ll} 2d+4p=28 \\ d+p=9 \end{array}[/tex]
Step-by-step explanation:
We are letting d represent the number of drinks and p represent the number of pizza slices.
We know that each drink d costs $2. We also know that each pizza slice p costs $4. They spent a total of $28. Therefore:
[tex]2d+4p=28[/tex]
We also know that 9 items was purchased all together. So, the total number of drinks d and pizza slices p sum to 9:
[tex]d+p=9[/tex]
Therefore, our system of equations is:
[tex]\left\{ \begin{array}{ll} 2d+4p=28 \\ d+p=9 \end{array}[/tex]Solve for x: 5x + 15 = 28
Answer:
[tex]x=\frac{13}{5}[/tex]
Step-by-step explanation:
In order to get the answer to this question you need to subtract and divide on both sides.
[tex]5x + 15 = 28[/tex]
Minus 15 on both sides:
[tex]28-15=13[/tex]
[tex]5x=13[/tex]
Divide 5 on both sides:
[tex]13\div5=\frac{13}{5}[/tex]
[tex]x=\frac{13}{5}[/tex]
Hope this helps.
