Step-by-step explanation:
the original retail price was 120% of the manufacturer price (100% manufacturer price + 20% markup).
now, the whole retail price is reduced by 12%.
that means we have to subtract 12% from the 120%.
but careful, we cannot just do 120-12=108.
that is simply because these 120% are now for this calculation the new basic amount and therefore 100%.
we actually need to calculate and subtract 12% of 120 to get the new percentage over the manufacturer price.
we do this by multiplying 120 by (100-12)/100 = 88/100 = 0.88 :
120 × 0.88 = 105.6%
so, the new retail price is now only 5.6% over the manufacturer price.
PLEASE HELP!!!!!!!!!!!!!!!!
Using a calculator, it is found that the correlation coefficient for this data is given by:
B. -0.901.
What is a correlation coefficient?It is an index that measures correlation between two variables, assuming values between -1 and 1.If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.To find the coefficient, which has symbol r², we input in a calculator the values of x and the values of y, hence:
r² = -0.901.
Which means that option B is correct.
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the diagram shows a cuboid 4cm, 5cm and 9cm what is the surface area of the cuboid?
length= 9 cm
width= 5 cm
height= 4 cm
to find:the surface area of the given cuboid.
solution:[tex]s.a = 2(lb + bh + lh)[/tex]
[tex]s.a = 2((9 \times 5) + (5 \times 4) + (9 \times 4))[/tex]
[tex]s.a = 2(45 + 20 + 36)[/tex]
[tex]s.a = 2 \times 101[/tex]
[tex]s.a = 202 \: {cm}^{2} [/tex]
therefore, the surface area of the given cuboid is 202 square centimeters.
In the figure below, \overline{AC}
AC
start overline, A, C, end overline and \overline{BD}
BD
start overline, B, D, end overline are diameters of circle PPP.
What is the arc measure of minor arc \stackrel{\large{\frown}}{BC}
BC
⌢
B, C, start superscript, \frown, end superscript in degrees?
The measure of minor arc BC is equal to ∠BPC which is 147 degrees.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
From the diagram:
4k + 159 = 2k + 153 (vertical opposite angles are equal)
4k + 159 = 2k + 153
k = -3
Arc Bc = 4k + 159 = 4(-3) + 159 = 147
The measure of minor arc BC is equal to ∠BPC which is 147 degrees.
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Answer: 147 :)
Step-by-step explanation:
khan academy
Hank has 6 black pens, 4 red pens, and 14 pencils in his desk drawer.
If he reaches into his desk drawer and randomly selects something to write with, what is the probability that he will grab a pen?
Find the lcd of the given rational equation
The LCD of the rational equation [tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex] is (x + 2) (x -1)(x - 2)
How to determine the LCD?The rational equation is given as:
[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{x^2 -3x + 2}[/tex]
Factorize the quadratic denominator
[tex]-\frac{3}{x + 2} + \frac{5x}{x - 1} = \frac{x + 2}{(x -1)(x - 2)}[/tex]
Write out the denominators
(x + 2), (x - 1) and (x -1)(x - 2)
Remove the repetition
(x + 2) (x -1)(x - 2)
Hence, the LCD of the rational equation is (x + 2) (x -1)(x - 2)
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Write the product using exponents.
I think it is negitave 6 times negitave 6 hope this helps.
Calculate the volume of the figure below.
Answer:
4080 cm³
Step-by-step explanation:
Figure is of a cuboid
Given length (l) = 30cm
breadth (b) = 17cm
height (h) = 8cm
Volume of cuboid = l.b.h
= 30 × 17 × 8
= 4080 cm³
Find the
median of 3,
4, 4, 5, 5, 6,
7, and 7.
Answer:
Answer is 5
Step-by-step explanation:
Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
what is x? 6(x+4)+3x-2
help me pleeeeeeease
[tex]P = l + l + b + b[/tex]
[tex]P = 2(2a + 3) + 2(8a - 12)[/tex]
[tex]\boxed{\sf{P=20a-18}}[/tex]
Question 2:[tex]P = 20(3) - 18[/tex]
[tex]P = 60 - 18[/tex]
[tex]\boxed{\sf{P = 42 cm}}[/tex]
Question 3:[tex]P = (3b + 7) + (7b - 2) + (7b - 2)[/tex][tex]\boxed{\sf{P = 17b+3}}[/tex]
Question 4:[tex]P = 17(6) + 3[/tex]
[tex]P = 102 + 3[/tex]
[tex]\boxed{\sf{P = 105 \: m}}[/tex]
In the circle below, stack A D with bar on top is a diameter and stack A B with left right arrow on top is tangent at A. Suppose m stack A D C with overparenthesis on top equals 224 degree.
Find the measures of m angle C A B and m angle C A D. Type your numerical answers (without units) in each blank.
m angle C A B =
64
degree
m angle C A D =
26
degree
A circle with a diameter labeled A D, chord A C. A line tangent to the circle at E and that goes through point B on the outside of the circle.
The measure of angle ∠CAB will be 68 degrees and the measure of angle ∠CAD will be 22 degrees.
What is a circle?It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
In the circle below, stack AD with a bar on top is diameter and stack AB with a left-right arrow on top is tangent at A. Suppose m stack ADC with over parenthesis on top equals 224 degrees.
Then the measures of m angle ∠CAB and m angle ∠CAD will be
Then we have
We know that
mADC = mAD + mDC
224° = 180° + mDC
mDC = 44°
Then we know the theorem, A chord's degree in the centre is double that of the chord's degree at the perimeter. Then we have
2 ∠CAD = 44°
∠CAD = 22°
Then the angle ∠CAB and angle ∠CAD are complementary angles. Then we have
∠CAB + ∠CAD = 90°
∠CAB + 22° = 90°
∠CAB = 68°
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4. At a local print shop, 25 copies cost $1.50. At this rate, how much would 60 copies cost?
Answer:
60 copies would cost 3.60
Step-by-step explanation:
Help me answer this please
Answer:
scale factor = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
the scale factor is the ratio of corresponding sides , Q to P , then
scale factor = [tex]\frac{3}{4}[/tex]
one lap around a dirt track is 1 /3 of a mile. It takes Bryce 1/9 of an hour to ride one lap.
Answer:
3 miles/hour.
Step-by-step explanation:
If the question is what is Bryce's average speed over the lap it is:
Distance / time
1/3 / 1/9
= 1/3 * 9
= 9/3
= 3 miles/hour.
3. Find m2ABC.
(2x+14)
(x+7)°
Answer:
Step-by-step explanation:
Here is Diya's work writing the expression 6 - 2x + 5 + 4x with fewer terms. Describe the mistake that Diya made.
Diya's Work
6- 2x + 5 + 4x
4x +
9x
13x Write an expression equivalent to 6 - 2x + 5 + 4x that has two terms.
Answer:
Below.
Step-by-step explanation:
This is the correct solution:
6 - 2x + 5 + 4x
= -2x + 4x + 6 + 5
= 2x + 11.
It looks like they added unlike terms together (4x + 5) to give 9x (incorrect) then added the 4x to give 13x.
is 2.06532 rational or irrational?
Answer:
irrational
Step-by-step explanation:
irrational because it has decimals at the end.
Since we can write the given decimal number into fractional form therefore it is a rational number.
Use the concept of decimals defined as:
Every digit in a number has a place value in mathematics. The value a digit in a number represents based on where it is in the number is known as place value.
The given number is:
2.06532
The number 2.06532 is rational because it can be expressed as a fraction of two integers.
In this case,
It can be written as the fraction 206532/100000.
Hence,
The given number is a rational number.
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What is the value of x?
42
21
19
38
Answer:
21.
Step-by-step explanation:
Angles subtended by the same arc on the circumference of the circle are congruent, so:
2x = 42
x = 21.
suppose that there is a circular race track. Joseph takes 25 minutes to finish it and Owuor takes 35 minutes
to finish it. If both of them start running from the same point at the same time in the same direction, after
how many minutes will they meet for the first time on the starting point?
Answer:
They will cross the finish line together in 175 minutes.
Step-by-step explanation:
This question asks you to consider the 25 and 35 times table.
I listed the 25 and 35 times tables and tried to find the lowest common multiple.
You can see that on Josephs' 7th lap of the track he will cross the line simulatneously with Owuor who will be on his 5th lap. So the answer should be 175 minutes.
25 × 1 = 25 35 × 1 = 35
25 × 2 = 50 35 × 2 = 70
25 × 3 = 75 35 × 3 = 105
25 × 4 = 100 35 × 4 = 140
25 × 5 = 125 35 × 5 = 175
25 × 6 = 150 35 × 6 = 210
25 × 7 = 175
25 × 8 = 200
[tex]x \6 - 1 = x \4 + 1 \2[/tex]
answer. the question pls pls pls pls
Answer:
-18
Step-by-step explanation:
Hope it helps....................................................
Find the area of the green triangle
Answer:
16 ft^2
Step-by-step explanation:
The area of a triangle is calculated by multiplying its height and base then dividing it by 2
Height of this triangle is given as 4ft
the base is 8ft
4*8/2 = 16 the area is given is square units so the answer is 16 ft^2
help help help help help
Answer:
mPS = 80°
Step-by-step explanation:
angles on a circle subtended by the same arc are congruent
∠ PQS and ∠ PRS are both subtended by arc PS , then
10 + 3x = 110 - 7x ( add 7x to both sides )
10 + 10x = 110 ( subtract 10 from both sides )
10x = 100 ( divide both sides by 10 )
x = 10
then
∠ PQS = 110 - 7x = 110 - 7(10) = 110 - 70 = 40°
the inscribed angle PQS is half the measure of its intercepted arc PS , then
PS = 2 × 40° = 80°
The figure below shows a triangular piece of cloth:
What is the length of the portion BC of the cloth? (1 point)
Answer:
BC / 8 = sin 35° by definition.
Step-by-step explanation:
-7-3 log₂ (-n + 10) = -16
Answer:
2
Step-by-step explanation:
-3 log₂ (-n + 10) = -16+7
-3 log₂ (-n + 10) = -9
log₂ (-n + 10) = -9/-3
log₂ (-n + 10) = 3
-n + 10 = 2^3
-n + 10 = 8
n=2
Help pleaseEEEEEEEEE i need it badlyyyy
volume: volume of cone is 1/3πr^2h
radius is 2
height is 6
plug into equation: 1/3π(2)^2*6=about 2.55 or 8π
surface area: surface area of cone is πrs+πr^2 where s is slant height.
to find slant height use pythagorean theorem: √(2^2+6^2)=√40
radius: 2
height:6
slant height: √40
plug into equation: π(2)(√40)+π(2^2)=about 52.30 or 4√10π+4π
Which is the equation of a trend line that passes through the points (7, 450) and (14, 401)? y = negative 7 x 499 y = negative startfraction 1 over 7 endfraction x 451 y = startfraction 1 over 7 endfraction x 449 y = 7 x 401
The equation of the line that passes through the points (7, 450) and (14, 401) is y + 7x = 499
How to find equation of a line?The equation of a line can be represented as follows:
y - y₁ = m(x - x₁)
where
m = slopeTherefore, (7, 450)(14, 401)
m = 401 - 450 / 14 - 7 = -49 / 7 = -7
Therefore, using (7, 450)
y - 450 = -7(x - 7)
y - 450 = -7x + 49
y + 7x = 49 + 450
y + 7x = 499
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Question 13 of 17
Which values of x would make a polynomial equal to zero if
the factors of the polynomial were (x+4) and (x+8)?
Answer:
-4 and -8
Step-by-step explanation:
(x+4)(x+8) = 0
x+4 = 0 or x +8 = 0
x = -4 or x = -8
This diagram shows the plan for a wooden deck. The scale dimensions of the deck are shown.
If the scale used in the diagram is 1/4 = 1ft.
what is the perimeter of the actual deck?
36 ft
48 ft
12 ft
3 ft
Which of the following can represent the three angles in an obtuse, scalene triangle?
-50, 30, 100
-40, 50, 90
-30, 30, 120
-50, 50, 80
Answer:
30, 30, 120
Step-by-step explanation:
Answer:
•50, 30, 100
Step-by-step explanation:
One side (100) is much bigger than the rest (over 90), and the other two are not alike or the same, making it scalene.
SOMEONE I NEED HELP PLS HELP ME!!
Answer:
PQ = 6 units
Step-by-step explanation:
note that the y- coordinates of P and Q are both - 7
then PQ is the difference in the x- coordinates, that is
PQ = | 7 - 1 | = | 6 | = 6
or PQ = | 1 - 7 | = | - 6 | = 6