Answer:
G. 25%
Step-by-step explanation:
given : The price of a video game was reduced from $60 to $45 .
$60 - $45 = $15
then, the percentage was the price of the video game reduced :-
reduction in price/previous price x 100 = 15/60 x 100 = 25%
the percentage was the price of the video game reduced = 25%
Zane received a quote to move his belongings to his new house. The estimate from
the mover is $675 for 6 hours of packing and 5 hours of loading on the weekend. The
cost during the week is $425 for 4 hours of packing and 3 hours of loading. If the
mover charges a set hourly rate for packing and another set hourly rate for loading,
what are these hourly rates?
What is the LCM for packing? What is the LCM for loading?
9514 1404 393
Answer:
packing: $50 per hourloading: $75 per hourpacking LCM: 12; loading LCM: 15Step-by-step explanation:
We can let P and L represent the hourly costs of packing and loading, respectively. The two estimates can be represented by the equations ...
6P +5L = 675
4P +3L = 425
The LCM of the coefficients of P is LCM(6, 4) = 12.
The LCM of the coefficients of L is LCM(5, 3) = 15.
__
Each LCM is the product of the numbers, divided by their greatest common factor. For 4 and 6, the product is 24, and both even numbers have a factor of 2, so the LCM of 4 and 6 is 24/2 = 12. The numbers 3 and 5 have no common factors, so the LCM is simply their product.
_____
The LCM is useful if you're going to solve the equations by "elimination". Here, the LCM of 12 means we can eliminate P by making its coefficient be 12 in both equations. Multiplying the first equation by 2, we can subtract 3 times the second equation to eliminate P:
2(6P +5L) -3(4P +3L) = 2(675) -3(425)
12P +10L -12P -9L = 1350 -1275
L = 75 . . . . . simplify
Similarly, we can eliminate L by making its coefficients be 15.
5(4P +3L) -3(6P +5L) = 5(425) -3(675)
20P +15L -18P -15L = 2125 -2025
2P = 100 . . . . simplify
P = 50 . . . . . . divide by 2
The hourly rates are ...
$50 per hour for packing
$75 per hour for loading
Answer:
40 packing and 80 moving
the value, of a 7 in the millions place, is how many times greater than the value of a 7 in the ten thousands place?
Answer:
Your answer would be 100! :)
Select all statements below that are true about the box plots shown.
1) The interquartile range for the cars going North is higher than the interquartile range for the cars going South.
2) The median speed for the cars going North is higher than the median speed for the cars going South.
3) The interquartile range for the cars going South is 9.
4) The interquartile range for the cars going North is 27.
5) The maximum speed for the cars going North is higher than the maximum speed for the cars going South.
6. The lower quartile for the cars going North is lower than the lower quartile for the cars going South.
In other words, choices 2 and 4 are false while everything else is true.
==========================================================
Explanation:
The boxplot, or box-and-whisker plot, is a visual way to display a five number summary. Recall that the five items of a five number summary are:
MinQ1MedianQ3MaxThe min and max are exactly what they sound like: They're the smallest and largest values. Visually, this means they are the left and right most edges of the whiskers. This assumes that there are no outliers on either side.
The visual representation of Q1 and Q3 are the left and right edges of the box in that order. The gap between them is the IQR (interquartile range). The wider the box, the larger the IQR will be. The diagram shows the north cars have a larger IQR compared to the south ones.
Choice 1) is one of the answers since it is a true statement.
-------------------
The median is visually shown as a vertical line somewhere inside the box. It doesn't have to be at the exact midpoint of the left and right edges. We could have the median be closer to the left edge for instance, as the north cars boxplot shows.
Choice 2 is false because the diagram shows that the cars going south have a higher median speed, due to that lower vertical line being more to the right compared to the upper vertical line. In other words, the median speed of the cars going south is 64 mph while the median speed of the cars going north is 62 mph.
-------------------
Choice 3 is a bit tricky since the left edge of the blue box isn't lined up with a value on the number line. But it appears to be halfway between 58 and 60, so it seems like Q1 = 59 for the southbound cars. The value of Q3 for the southbound cars is Q3 = 68. The IQR is therefore,
IQR = Q3 - Q1 = 68-59 = 9
It's very likely that choice 3 is true
-------------------
For the northbound cars, we have
Q1 = 56
Q3 = 71 (assuming the right edge of the green box is exactly in the middle of the tickmarks of 70 and 72)
So,
IQR = Q3 - Q1 = 71 - 56 = 15
We don't get a result of 27, so choice 4 is not a true statement.
-------------------
Choice 5 is a true statement. The max speed of the northbound cars is larger than the max of the southbound cars. This is because the right tip of the north's whisker is further to the right compared to the south's corresponding whisker.
-------------------
The lower quartile is another name for "Q1" or "first quartile". So we'll be looking at the left edges of each box. The northbound cars have a smaller Q1 value because
Q1 = 56 for northbound cars
Q1 = 59 (or somewhere between 58 and 60) for southbound cars
Therefore, choice 6 is true.
Lucy will spend more than $26 on gifts. So far, she has spent $17. What are the possible additional amounts she will spend?
use C for the additional amount Lucy will spend
Answer:
She can spend anything greater than $9. Such as, $10, $11, $12, $13
Step-by-step explanation:
Subtract 17 from 26 to get $9
Find the code word by completing the maze below. To complete the maze you must determine what type of triangle is formed by the given set of dimensions. There are letters in each box that will form the code word you need to unlock puzzle one. The letters will go in order to form the word. MI 4,7,9 Obtusa 5,5,5 obtusa 9.12,15 Acute 12, 16,20 BEGIN Right Acute Right Obtuse N S Acute Right 7, 12, 18 P Acute 15,20,25 1,3,5 6,8,10 Acute Jobtuse Obtuse Right Right 21,28,35 Right P 30, 40, 50 Acute 6, 12,18 12,18,31 Obtuse Obtuse Obtuse Obtuse 3,4,5 Right 2,2,2 Acute 12, 16,20 Right FINISH Code:
Answer:
Inspiring
I hope this helps
5.23y+3.8 times (2.7-1.6y)
Answer:
− 0.85 y + 10.26
Step-by-step explanation:
The multiplication of the expression (5.23y + 3.8) and (2.7 - 1.6y) will be 8.041y + 10.26 - 8.368y²
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (5.23y + 3.8) · (2.7 - 1.6y)
Simplify the expression, then we have
⇒ (5.23y + 3.8) · (2.7 - 1.6y)
⇒ 14.121y + 10.26 - 8.368y² - 6.08y
⇒ 8.041y + 10.26 - 8.368y²
More about the value of the expression link is given below.
https://brainly.com/question/23671908
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Plz help me well mark brainliest if you are correct!!....
In a school machine shop, 60% of all machine breakdowns occur on lathes and 15% occur on drill presses. Let E denote the event that the next machine breakdown is on a lathe, and let F denote the event that a drill press is the next machine to break down. With and P(E) = 60 and P(F) =.15, calculate:
A. P(EC).
B. P(EUE).
C. P(EC ∩ FC).
Answer:
A. P(EC) = 0.4
B. P(E∪E) = 0.75
C. P(EC ∩ FC) = 0.25
Step-by-step explanation:
Let us calculate -:
we are given with - P(E) = 60 and P(F) =.15,
Thus , (a) [tex]P(E^C)=1-P(E)[/tex]
[tex]=1-0.6[/tex]
[tex]=0.4[/tex]
(b) P(E∪F) = P(E) + P(F)
= 0.60 + 0.15
= 0.75
(c) [tex]P(E^C[/tex]∩[tex]F^C)[/tex] [tex]=1-P(E[/tex]∪ [tex]F)[/tex]
[tex]=1-0.75[/tex]
= [tex]0.25[/tex]
Hence , the answers are -A. P(EC) = 0.4 , B. P(E∪E) = 0.75 , C. P(EC ∩ FC) = 0.25.
#37. What is the next step when solving the equation sin (2x) - sin (x) = 0
sin(2x) - sin(x) = 0
Expand the first term using the double angle identity:
2 sin(x) cos(x) - sin(x) = 0
Factor out sin(x) :
sin(x) (2 cos(x) - 1) = 0
This leaves you with 2 cases that can be solved separately:
sin(x) = 0 or 2 cos(x) - 1 = 0
sin(x) = 0 or cos(x) = 1/2
[x = 2nπ or x = π + 2nπ] or [x = π/6 + 2nπ or x = 5π/6 + 2nπ]
(where n is any integer)
find the value of x in each case. will be posting more questions soon.
HELP ME PLEASEEEEEEEEEEEEEEEE
Answer:
52
Step-by-step explanation:
break down the shapes into simpler ones
do base X height for both
add both
Answer:
52cm^2
Step-by-step explanation:
Split the figure into 3 rectangles or squares and find the area of the individual shapes, add all the areas together and you should get 52cm^2
Twenty times the square of a non-zero number is equal to 20 times the number.
Answer:
the number could be 0 or 1
Step-by-step explanation:
20x² - 20x = 0
20x(x - 1) = 0
20x = 0
x = 0
x-1 = 0
x = 1
The point-slope equation of a line is
A. y + x - Xoyo = m
B. y= m(x - Yo)
O C. y+ mx - mxoyo
D. y-yo = m(x- xo)
Answer:
[tex]y - y_1 = m(x - x_1)[/tex]
Step-by-step explanation:
Given
A to D
Required
Which is the point slope equation
The point slope form of a coordinate pair is:
[tex]y - y_1 = m(x - x_1)[/tex]
Hence, (d) is correct
Look at the figure. How can you prove the triangles are congruent?
Answer:
SSS - The two triangles share all 3 sides, proving they are congruent.
Step-by-step explanation:
Two sides of each triangle are marked in the diagram as equal. The third side, [tex]\overline{BD}[/tex] is shared between both sides, meaning that both triangles share all three sides. This is known as SSS (side-side-side) and is a proof of congruence.
Step-by-step explanation:
In triangle ABD In triangle CBD
AB. = BC. [Given]
AD. = CD. [Given]
BD. = BD. [Common side]
Therefore,
According to SSS Congruence condition
Triangle ABD is congruent to Triangle CBD
Chloe has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack. She chooses one pencil at random, puts it back, and then chooses another pencil .
The probability that Chloe chooses a blue pencil and then a red pencil is
The probability that Chloe chooses the yellow pencil and then a blue pencil is
No links please :)
Answer:
A) P(chooses a blue pencil and then a red pencil) = 5/27
B) P(chooses yellow then blue) = 5/81
Step-by-step explanation:
She has 3 red pencils, 5 blue pencils, and 1 yellow pencil in her backpack
Thus;
total number of pencils = 3 + 5 + 1 = 9 pencils
A) probability that she chooses a blue pencil and then a red pencil;
P(blue) = 5/9
Now she puts it bag after choosing which means the sum is back to 8 pencils.
Thus, if she now chooses a red pencil, then P(red) = 3/9 = 1/3
Thus;
P(chooses a blue pencil and then a red pencil) = 5/9 × 1/3
P(chooses a blue pencil and then a red pencil) = 5/27
B) probability that Chloe chooses the yellow pencil and then a blue pencil;
Similar to A above;
P(yellow) = 1/9
P(blue) = 5/9
P(chooses yellow then blue) = 1/9 × 5/9
P(chooses yellow then blue) = 5/81
PLEASE HELP
3/4M -12 but m = 32
Answer:
Replace the variable m with 32
in the expression.
3/4⋅(32)−12 Simplify each term.
24−12 Subtract 12 from 24.
12
Step-by-step explanation:
write the image of a point ( 3 - 2) under reflection about x - axis
Step-by-step explanation:
I m not sure either u have written (-2).. ans is (3,-2)
Answer:
(3, 2 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
(3, - 2 ) → (3, 2 )
Choose all the factor pairs of 12.
A. 1,12
B. 2,6
C. 3,4
D. 5,7
E. 6,6
Write an equation of the circle with center (3,-2) and radius 11.
let h= 3, k=-2
radius (r) = 11 ,then
(x-h)^2 + ( y-k)^2 = r^2
(x-3)^2 + ( y+2)^2 = 11^2
x^2 -6x +9 + y^2 +4y +4 = 121
x^2 + y^2 - 6x +4y -108 = 0 is the required eq
Find the measure of the angle HELP PLSSS URGENT!
Answer:
It is 40 degrees
Step-by-step explanation:
The 2 lines, x and y are forming 90 degrees, and since we know that part of that complementary angle is 50 degrees, we would do:
50+x=90
-50 -50
-------------
x=40
What is the best estimate of the sum of fractions?
Answer:
13
Step-by-step explanation:
Edgeunity 2021
I'm pretty sure, I just estmated the answer to 13 which was the closest.
Two sets of three consecutive integers have a property that the product of the larger two is
one less than 7 times the smallest. Set up and solve an equation that can be sue to find both
sets of integers. What are those sets of integers?
Answer:
{1, 2, 3}, {3, 4, 5}
Step-by-step explanation:
Write expressions for three consecutive integers: n, n + 1, n + 2.
Set up an equation for the verbal description: the product (mulitplication) of the two larger integers (the last two) is one less than 7 times the smallest (the first one).
(n + 1)(n + 2) = 7n - 1
Multiply (FOIL) the left side.
n^2 + 3n + 2 = 7n - 1
Subtract 7n and subtract 1 to make the right side 0.
n^2 - 4n + 3 = 0
Factor.
(n - 1)(n - 3) = 0
Set the two factors equal to 0
n - 1 = 0, n - 3 = 0
Solve for n.
n = 1, n = 3
One set of integers begins with 1, so it's {1, 2, 3}.
The other set begins with 3, so it's {3, 4, 5}
Can someone higher please help ?
.....................................................................................
Answer: -0.833 (repeating decimal)
Step-by-step explanation: fg(x) means plug the g(x) equation into f(x), and for gf(x) it’s vice versa:
Fg(x) = 3x^2 - 1 + 2
Gf(x) = 3(x + 2)^2 - 1
First, we should simplify gf(x) to eliminate the (x + 2)^2:
3(x^2 + 4x + 4) - 1
3x^2 + 12x + 12 - 1
3x^2 + 12x + 11
Second, simplify fg(x) by solving -1 + 2: 1
Now, we can set the two equations equal to each other and solve:
3x^2 + 1 = 3x^2 + 12x + 11 (subtract 3x^2 from each other and 1 from 11)
-10 = 12x (Divide)
-0.8333... = x
To make sure this answer is correct, plug -0.833 into the original equations and set them equal to each other:
3(-0.833)^2 + 1 = 3(-0.833)^2 + 12(-0.833] + 11
3.083 = 3.083
What is the expected value for the binomial
distribution below?
1/3125
4/625
32/625
128/625
256/625
1024/3125
999.224
Step-by-step explanation:
Expected value = Summation of (x•px)
px is addressed as pdf (probability distribution function)
x px. x•px
1. 1/3125. 1/3125
20. 4/625. 16/125
160. 32/625. 1024/125
640. 128/625. 16384/125
1280. 256/625 65536/125
1024. 1024/3125. 335.544
total:. 1. 999.224
taking my pdf as x/3125
The expected value of the binomial distribution is 4
How to determine the expected value?The expected value of a binomial distribution is calculated using:
[tex]E(x) = \sum x * P(x)[/tex]
Using the table of values, we have:
[tex]E(x) = 0 * 1/3125 + 1 * 4/625 + 2 * 32/625 + 3 * 128/625 + 4 * 256/625 + 5 * 1024/3125[/tex]
Evaluate the expression
E(x) = 4
Hence, the expected value of the binomial distribution is 4
Read more about expected value at:
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Round to the nearest whole dollar: $7.23
Answer:
$ 7
Step-by-step explanation:
To round 7.23 to the nearest whole dollar consider the tenths’ value of 7.23, which is 2 and less than 5. Therefore, we have to round the amount down: the dollar ones place value of 7.23, 7, remains 7, and the decimal point and all digits (.23) are removed.
$7.23 rounded to the nearest dollar = $7
How many solutions exist for the given equation?
1/2(x + 12) = 4x - 1
zero
one
two
O infinitely many
Answer: X = 2
Step-by-step explanation:
Step 1: Simplify both sides of the equation!
Step 2: Subtract 4x from both sides.
Step 3: Subtract 6 from both sides.
Step 4: Multiply both sides by 2/(-7).
Which of the following is the correct point-slope equation for the line that
passes through the point (-3,-9) and is parallel to the line given by
y = 2.5x - 20?
O A. Y-3 = 2.5(x - 9)
O B. y + 3 = 2.5(x + 9)
O C. y + 9 = 2.5(x+3)
O D. Y- 9 = 2.5(x-3)
Answer:
these are negative numbers
Step-by-step explanation:
Solve, using the substitution method. X + y = -11
2x - 3y = 3
A. (-6, -5)
B. (-10, -1)
C. (15, -4)
D. (6, 1)
Answer:
A. (-6,-5)
Step-by-step explanation:
A: Correct because -6+-5=-11------True
and 2(-6)-3(-5) is equal to -12-(-15) and a - plus a - equals a +
so our new equation is -12+15=3-----True
-Your welcome and I hope this helps you, please rate 5 stars =D
5-64 =
A. -8
B. -4
C. 4 or -4
O D. -16
Factor the following the expression,
-15m -25
Answer:
[tex]-5(3m+5)[/tex]
Step-by-step explanation:
Factor by grouping:
'-5' is a common factor.
Factoring out '-5'....
[tex]-15m-25\\\\\boxed{-5(3m+5)}[/tex]
Hope this helps.