Answer:
The percentage change is -21%
Step-by-step explanation:
The percentage change can be expressed by the formula;
(new price -old price)/old price * 100%
New price = £150
old price = £189
Inputing these values in the formula, we have;
(150-189)/189 * 100%
-39/189 * 100%
= -20.63% and that is approximately -21%
A survey of 720 adults nationwide asked, "What irks you most about the actions of other motorists?" The response "tailgaters" was given by 231 people. What percent of those surveyed were most irked by tailgaters? Round to the nearest tenth of a percent
Answer: 32.08%
Step-by-step explanation:
From the question, a survey of 720 adults nationwide asked, "What irks them most about the actions of other motorists? and the response "tailgaters" was given by 231 people.
The percentage of people that responded with tailgaters will be the number of people who responded with tailgaters divided by the total survey of adults asked and then multiplying by 100. This can be mathematically written as:
= 231/720 × 100
= 32.08%
U.U AYUDa porfis porfis t.t
Answer: a+b = 12
Los triangulos verdes son semejantes entre si por tener dos lados proporcionales y el angulo comprendido respectivamente iguales. De igual forma los triangulos azules son semejantes por tener dos lados proporcionales y el angulo comprendido respectivamente iguales. En general el factor de proporcionalidad de los triangulos es 1:2 siendo en ambos casos el grande el doble del pequeño. Por tanto
a+2 = 2(3)
a=4
10 = 2(b-3)
b=8
Luego a+b = 12
i need help please!!!!!!!!!!!!
Answer:
-1/2
Step-by-step explanation:
The line in slope-intercept form,
y = mx + b
has slope m.
In this case, m = -1/2
Slope = -1/2
Answer:
1. m=-1/2
Step-by-step explanation:
The line is given in slope-intercept form, or
y=mx+b
where m is the slope and b is the y-intercept.
Essentially, the number that is multiplied by x is the slope, and the number that is added or subtracted from the term with x is the y-intercept.
The equation of line is:
y= -1/2x+ 1/4
-1/2 and x are being multiplied (-1/2*x= -1/2x). 1/4 is being added onto the term with x (-1/2x).
Therefore, the slope must be -1/2 and the y-intercept is 1/4.
m= -1/2
b= 1/4
The slope is -1/2 and the first choice is correct.
any help would be amazing, please?!!
Answer:
I think it's C
Step-by-step explanation:
Sorry if I'm wrong
Given: Z1 is complementary to 22.
What is the missing statement in step 3 of the proof?
22 is complementary to 23.
0 m21 = m22
Prove: mz1 = m 23
OmZ1 + m22 = 90°
OmZ2 = m23
VV
m22 + m23 = 180°
Statements
1. 21 is comp. to 22
2. 22 is comp. to 23
3. ?
4. m21-90°-m22
5 m22+m23-90°
6. m23-90°-m22
7. m 1 m3
1
2.
3
4
5
6.
7
Reasons
given
given
def. of comp. ZS
subtr. equality prop.
def. of comp. ZS
subtr. equality prop
trans. prop.
Answer:
Option (2)
Step-by-step explanation:
Statements Reasons
1). ∠1 is comp. to ∠2 1. Given
2). ∠2 is comp. to ∠3 2. Given
3). ∠1 + ∠2 = 90° 3. def. of comp. angles
4). m∠1 = 90° - ∠1 4. Subtr. equality property
5). m∠2 + m∠3 = 90° 5. def. of comp. angles
6). m∠3 = 90° - m∠2 6. subtr. equality property
7). m∠1 = m∠3 7. Transitive property
Option (2) will be the answer.
Both angle ∠1 and ∠3 are complementary to ∠2, therefore, ∠1 + ∠2 = 90°
and by properties of equality, ∠1 = ∠3.
Response:
The missing statement in step 3 is; m∠1 + m∠2 = 90°Which property or definition is used to find the missing statement?The completed two column proof is presented as follows;
Statements [tex]{}[/tex] Reasons
1. ∠1 is comp. to ∠2 [tex]{}[/tex] 1. Given
2. ∠2 is comp. to ∠3 [tex]{}[/tex] 2. Given
3. m∠1 + m∠2 = 90° [tex]{}[/tex] 3. Definition of complementary angles4. m∠1 = 90° - m∠2 [tex]{}[/tex] 4. Subtraction equality property
5. m∠2 + m∠3 = 90° [tex]{}[/tex] 5. Definition of complementary angles
6. m∠3 = 90° - m∠2 [tex]{}[/tex] 6. Subtraction equality property
7. m∠1 = m∠2 [tex]{}[/tex] 7. Transitive property
The missing statement in step 3 is therefore; m∠1 + m∠2 = 90°Details of the solution:
Given that ∠1 is complementary to ∠2, we have;
∠1 + ∠2 = 90°
Similarly, by definition of complementary angles, we have;
∠2 + ∠3 = 90°
Which gives;
∠3 + ∠2 = 90°
Therefore;
∠1 + ∠2 = ∠3 + ∠2
Subtracting ∠2 from both sides (subtraction property of equality), gives;
∠1 + ∠2 - ∠2 = ∠3 + ∠2 - ∠2
∠1 + 0 = ∠3 + 0
Which gives;
∠1 = ∠3
Learn more about properties of equality here
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the side of a square is 32/5, what is the area of the square
Answer: 1,024/25 or 40.96
Step-by-step explanation:
The length of one side of a square is 32/5, and all sides of a square have the same length, then all sides of the square have 32/5 as the length.
In order to get the area of the square, you need to multiply one side by another.
32/5 * 32/5 = 1,024/5 (fraction form)
32/5 = 6.4
6.4 * 6.4 = 40.96 (decimal form)
Find the length of side AB. Give your answer to 1 decimal place.
Answer:
Length of side AB = 5.6 cm
Step-by-step explanation:
From the figure attached.
In right triangle ABC,
m∠ABC = 62°
m(BC) = 12 cm
By applying Cosine rule in this triangle,
Cos62° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
Cos62°= [tex]\frac{AB}{BC}[/tex]
0.46947 = [tex]\frac{AB}{12}[/tex]
AB = 12 × 0.46947
AB = 5.63
≈ 5.6 cm
Therefore, length of side AB = 5.6 cm
Length of side AB = 5.6 cm.
Calculation of the length of side:Since In right triangle ABC,
m∠ABC = 62°
m(BC) = 12 cm
Here we used the cosine rule
So, it is
[tex]Cos 62 = AB\div BC\\\\0.46974 = AB\div 12[/tex]
So, AB = 5.6 cm
hence, Length of side AB = 5.6 cm.
Learn more about length here: https://brainly.com/question/21676565
AOV is a right angle and the ratio AOB: BOC= 2:3 what is the size of angle BOC ?
Write an expression for the sum of 12 + 10n
Answer:
22n
Step-by-step explanation:
The area of a rectangle is 54 5454 square meters. The width is 9 99 meters long. Which equation correctly relates the given information and the length, ℓ ℓell?
Answer:
it is longer than 1/3
Step-by-step explanation:
solve v=1/3 bh for b
Answer:
3v/h = b
Step-by-step explanation:
1/3 is a given fraction and to get rid of it you must multiply by it's reciprocal of 3/1 or 3. You will also multiply the other side by 3
3 * v = (1/3 bh) * 3 --> 3v = bh
divde both sides by h and you get 3v over h = b
3v/h = b
Hope this helps!
Answer:
3v/h = b
Step-by-step explanation:
v = 1/3bh
3v = bh
3v/h = b
the roots of the equation 7x^2 +x-1=0 are:
real and distinct
real and equal
not real
none of these
Answer:
Correct option: First one -> real and distinct.
Step-by-step explanation:
To evaluate the roots of the equation 7x^2 + x - 1 = 0, lets find the discriminant Delta using the Bhaskara's formula:
[tex]\Delta = b^{2} - 4ac[/tex]
Where a, b and c are coefficients of the quadratic equation (in this case, a = 7, b = 1 and c = -1)
So we have that:
[tex]\Delta = 1^{2} - 4*7*(-1) = 29[/tex]
To evaluate the roots of the equation, we have the following cases:
[tex]\Delta > 0[/tex] : Two roots real and distinct
[tex]\Delta = 0[/tex] : Two roots real and equal
[tex]\Delta < 0[/tex] : Two roots not real
In our case, we have [tex]\Delta > 0[/tex], so the roots are real and distinct.
Correct option: First one
I tried to answer this but not getting the right answer. Can someone help me plzzz
Answer: 17
Step-by-step explanation:
Use the Pythagorean theorem.
C^2 = A^2 + B^2
So, C is always the hypotenuse which is the longest side length and the side length diagonal of the right angle. Side "s" is the hypotenuse.
Square sides AB and BD
It looks like this:
C^2 = 8^2 + 15^2
8^2 = 64
15^2 = 225
225 + 64 = 289
the square root of 289 is 17
17 = s
shoe store uses a 40% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $69
Answer: $96.60
Step-by-step explanation:
40% * 69 = markup price
0.4 * 69 = 27.6
Now add it to the wholesale price which is the price the store bought the shoes.
$27.6 + $69 = $96.60
or
100% + 40% = 140%
140% of 69 = ?
1.4 * 69 = $96.60
What is the decimal expansion of 30/6? And is it rational or irrational.
Answer:
5.0 rational
Step-by-step explanation:
30/6 = 5/1 =5.0
it's rational as it is a fraction
PLEASE HELP WILL MARK BRAINLIEST
How would the rotational speed of the anemometer be different during a strong windstorm than in a wind that is not as strong?
Answer: the rotational speed would be greater during a storm
Step-by-step explanation:
Rotational speed is produced by a torque on an object relative to a pivot. The stronger the wind, the stronger the torque on the anemometer. This increase in net torque would increase the angular acceleration of the anemometer, which would increase the angular velocity (rotational speed).
Find the x intercept. y = x + 3 / x - 2
Answer:
(-3, 0).
Step-by-step explanation:
At the x intercept y = 0 so
(x + 3) / (x - 2) = 0
x + 3 = 0
x = -3.
x-intercept is at (-3,0).
Please help! Correct answer only!
In a raffle, one ticket out of 200 will win a $980 prize, one ticket will win a $950 prize, one ticket will win a $270 prize, and one ticket will win a $260 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
Answer:
" Expected Payoff " - $ 12.30
Step-by-step explanation:
Consider the steps below;
[tex]Total Number of Tickets - 200 Tickets,\\Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 200\\\\Amount Won ( First ) = 980 Dollars,\\Amount Won ( Second ) = 950 Dollars,\\Amount Won ( Third ) = 270 Dollars,\\Amount Won ( Fourth ) = 260 Dollars\\\\Proportionality ( First ) - 1 / 200 = x / 980,\\Proportionality ( Second ) - 1 / 200 = x / 950,\\Proportionality ( Third ) - 1 / 200 = x / 270,\\Proportionality ( Fourth ) - 1 / 200 = x / 260,\\\\1 / 200 = x / 980,\\200 * x = 980,\\x = 4.90,\\\\[/tex]
[tex]1 / 200 = x / 950,\\200 * x = 950,\\x = 4.75,\\\\1 / 200 = x / 270,\\200 * x = 270,\\x = 1.35,\\\\1 / 200 = x / 260,\\200 * x = 260,\\x = 1.3[/tex]
[tex]Conclusion ; " Expected Payoff " = 4.90 + 4.75 + 1.35 + 1.3 = 12.30[/tex]
What is the value of x in trapezoid ABCD?
x=15
x=20
x=45
X=60
Answer:
A. X = 15 is the correct answer.
Step-by-step explanation:
It's the only one that really makes sense.
Hope this helped :) :)
Answer:
15
Step-by-step explanation:
Which statements accurately describe the function f(x) = 3(18)*? Select three options.
O The domain is all real numbers.
The range is y> 3.
The initial value is 3.
The initial value is 9.
The simplified base is 372.
Answer:
Step-by-step explanation:
Without the variable x, your "f(x) = 3(18)*" is not a function. If you meant
f(x) = 3(18)^x, then the domain is "the set of all real numbers," and the range is (0, infinity).
the initial value is 3: f(0) = 3(18)^0 = 3(1) = 3
The solution is: statements accurately describe the function f(x) = 3(18)* are:
The domain is all real numbers.
The initial value is 3.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Without the variable x, your "f(x) = 3(18)*" is not a function.
If you meant
f(x) = 3(18)^x,
then the domain is "the set of all real numbers,"
and the range is (0, infinity).
the initial value is 3:
f(0) = 3(18)^0 = 3(1) = 3
Hence, The solution is: statements accurately describe the function f(x) = 3(18)* are:
The domain is all real numbers.
The initial value is 3.
To learn more on function click:
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Please help! Correct answer only! I need to finish this assignment before tomorrow.
In a raffle, one ticket out of 500 will win a $390 prize, three tickets will win a $230 prize, and sixteen tickets will win a $170 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
===========================================================
Work Shown:
1/500 = 0.002 is the probability of winning $390
3/500 = 0.006 is the probability of winning $230
16/500 = 0.032 is the probability of winning $170
Multiply the probabilities with their respective winnings
0.002*390 = 0.78
0.006*230 = 1.38
0.032*170 = 5.44
Then add up those results
0.78+1.38+5.44 = 7.60
which is the expected value.
Side note: This game is not a fair game because mathematically a "fair game" is defined as such where the expected value is 0; ie, neither the player nor the dealer win and things break even.
An angle between 180’ and 360’
Step-by-step explanation:
you start with 90 then 180 then270 then 360
Got a fairly simple looking system of equations, 2k+4y=20, and 3x+6y=30 Don't understand how to prove what values of k provide - 1 solution - no solutions - and many solutions
Answer:
2kx+4y=20 ⇒ kx+2y=10
3x+6y=30 ⇒ x+2y= 10
k is the coefficient of x, so it is the slope of the line
when k=1, both equations will be same, then there are many solutionswhen k=0 there is one solutionwhen k is anything different, then the lines will be parallel, so no solutionssolve ... 5x + 4 < 3 - 3x
A trail mix contains peanuts raisins and m&ms in the mix the amount of peanuts is three times the amount of m&ms;and the amount of raisins is two times the amount of m&ms.let m represent the amount of m&ms.write and simplify an expression for the total number of pieces of food in the trail mix
Answer:
6m
Step-by-step explanation:
m =number of M&M's
3m=number of peanuts
2m=number of raisins
m+3m+2m=total number of pieces of food=6m
which law would you use to simplify the expression (p/q)^3
Answer:
Step-by-step explanation:
Hello i really need help
Step-by-step explanation:
The equation is
X + 10205 = 21894
X = 21894 - 10205
X = 11689
Which graph represents the solution set of the compound inequality Negative 4 less-than-or-equal-to 3x minus 1 and 2 x + 4 less-than-or-equal-to 18?
Answer:
a) First graph
The solution of the given inequalities -1 ≤ x ≤ 7
Step-by-step explanation
Given two inequalities
- 4 ≤ 3 x -1 ...(i)
2 x +4 ≤ 18 ...(ii)
From(i)
- 4 ≤ 3 x -1
Adding '1' on both sides , we get
- 4 + 1 ≤ 3 x - 1 +1
- 3 ≤ 3 x
Dividing '3' on both sides , we get
-1 ≤ x ...(a)
From (ii)
2 x +4 ≤ 18
subtracting '4' on both sides , we get
2 x + 4 - 4 ≤ 18 -4
2 x ≤ 14
dividing '2' on both sides, we get
x ≤ 7 ..(b)
Now the solution of two inequalities From(a) and (b)
-1 ≤ x ≤ 7
Final answer:-
The graph of the two inequalities is first graph
Answer:
first graph or A
Step-by-step explanation:
took the test on edge! have a good day peeps:)
If f(x) = x³ - 2, find f(3).
Answer:
25
Step-by-step explanation:
[tex]f(x)=x^3-2 \\\\f(3)=(3)^3-2= \\\\27-2= \\\\25[/tex]
Hope this helps!
Answer: 25
Explanation: Notice that f is a function of x. So we want to find f(3).
We find f(3) by plugging 3 in for x everywhere
that x appears in the function.
So we have (3)³ - 2.
(3)³ is equal to 3 × 3 × 3 or 27.
So we have 27 - 2 which is 25.
So f(3) is equal to 25.
Identify the terms and like terms in the expression.
z + 8 - 4z
Answer:
z and -4z are like terms
Terms: z,8,-4z
like terms: z,-4z