Answer: To find the sales tax rate as a percentage, we can use the following formula:
Sales Tax Rate = (Sales Tax / Cost Before Tax) * 100%
In this case, the sales tax is given as $20, and the cost before tax is $500. Plugging these values into the formula, we have:
Sales Tax Rate = ($20 / $500) * 100%
Simplifying the expression:
Sales Tax Rate = (0.04) * 100%
Sales Tax Rate = 4%
Therefore, the sales tax rate for the item is 4%.
Step-by-step explanation:
The angles below are supplementary. What is the value of x?
1) 4
2) 6
3) 14
4) 22
Answer:
4) 22
Step-by-step explanation:
A linear pair of angles totals 180°.
(5x +20°) +50° = 180°
5x = 110° . . . . . . . . . . . . . subtract 70°
x = 22° . . . . . . . . . . . divide by 5
a square pyramid has a volume of 30 cubic millimeters and a height of 5 mm what is the area of the base of the pyramid
PLEASE HELP ME AND IF U GIVE ME A LINK OR A FILE I SWEAR.
Answer:
Step-by-step explanation:
V=hb/3, where b=area of base
b=3V/h, since V=30mm^3 and h=5mm then
b=3(30)/5
b=18 mm^2
So the area of the base is 18 square millimeters.
Make a frequency table using five classes.
class 31-38 39-46 47-54 55-62 63-70
f
11
24
15
7
3
Then estimate the mean and sample standard deviation using the frequency table. (Round s to two decimal places.)
Answer: C
Step-by-step explanation:
This recipe makes 20 flapjacks.
How much of each ingredient is needed to make 50 flapjacks by following this
recipe?
Recipe: Makes 20 flapjacks
140 g margarine
120 g sugar
100 ml syrup
240 g oats
50 g raisins
Write your answer as a whole number or a decimal
Answer:
minutes/mile
minutes=7.5-2.5
=55
55/10
5.5 minutes per mile
Which of the following statements are true about the equation below?
x2-6x+2=0
The graph of the quadratic equation has a minimum value.
The extreme value is at the point (3,-7).
The extreme value is at the point (7,-3).
The solutions are .
The solutions are .
The graph of the quadratic equation has a maximum value.
Using quadratic function concepts, it is found that the true statements about the equation are:
The graph of the quadratic equation has a minimum value.The extreme value is at the point (7,-3).The solutions are \(3 \pm \sqrt{7}\).What is a quadratic function?A quadratic function is given according to the following rule:
\(y = ax^2 + bx + c\)
If a > 0, it has a maximum value, and if a < 0, it has a minimum value.The extreme value is \((x_v,y_v)\), in which:\(x_v = -\frac{b}{2a}\)
\(y_v = -\frac{\Delta}{4a}\)
\(\Delta = b^2 - 4ac\)
The solutions are:\(x_1 = \frac{-b + \sqrt{\Delta}}{2a}\)
\(x_2 = \frac{-b - \sqrt{\Delta}}{2a}\)
In this problem, the function is:
\(f(x) = x^2 - 6x + 2\)
The coefficients are \(a = 1, b = -6, c = 2\).
Since a > 0, the graph has a minimum value.
For the extreme value, we have that:
\(x_v = -\frac{b}{2a} = \frac{6}{2} = 3\)
\(\Delta = b^2 - 4ac = (-6)^2 - 4(1)(2) = 28\)
\(y_v = -\frac{\Delta}{4a} = -\frac{28}{4} = -7\)
Hence:
The extreme value is at the point (7,-3).
The solutions are:
\(x_1 = \frac{6 + \sqrt{28}}{2} = \frac{6 + 2\sqrt{7}}{2} = 3 + \sqrt{7}\)
\(x_2 = \frac{6 - \sqrt{28}}{2} = \frac{6 - 2\sqrt{7}}{2} = 3 - \sqrt{7}\)
The solutions are \(3 \pm \sqrt{7}\).
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please hurry i need this fast
Answer:
option 4
Step-by-step explanation:
the first movement is a translation and then it is reflected over the y axis
Answer:
A
Step-by-step explanation:
What is -2.3 - ( 4.5 - 3 1/2)?
a) 2.3
b)-10.3
c) -3.3
d)-1.3
PLEASE HELP ME SOON!!!!!
Answer:
-3.3 (Choice 3)
Answer:
-3.3
Step-by-step explanation:
1/2=0.5 so 3+0.5=3.5
4.5-3.5=1 Brackets comes first because BIDMAS
-2.3-1= -3.3
The management of Brinkley Corporation is interested in using simulation to estimate the profit per unit for a new product. The selling price for the product will be $45 per unit. Probability distributions for the purchase cost, the labor cost, and the transportation cost are estimated as follows:
yes I will send you a check tomorrow morning if I have a time for it tomorrow and if you need any more info let us or you get lost and I
5+5=?...........................
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
because yes
i need help plzzzzzzz :))
Answer:
C. Both Functions Have a y-intercept of -2
Step-by-step explanation:
In Function F it shows us that it has a y-intercept of -2, and in the equation of Function G it shows us that you would subtract 2 out of what the initial value would be:
(3 x 0 = 0)
0 - 2 would be -2 so it would have a y-intercept of -2.
what are the answers for the table
Answer:
X-intercepts: -1 and 3
Y-intercepts: 3
Vertex: (1, 4)
Axis of Symmetry: y= -1x + 3x + 4 (I think this is right it might not be and im sorry if it isnt).
Step-by-step explanation: Hope this helps even a little bit <33
Write the coordinates of the vertices after a reflection over the y-axis.
Answer:
P=(10,3)
Q=(3,3)
R=(10,9)
Step-by-step explanation:
I mean like you just reflect it is it that hard to understand
help!!!! please <33333
Hello!
For this you would just need to multiple straight across. Here's how you would set it up:
3/4 ·1/8
Then you would multiple 3 x 1 = 3
And 4 x 8 =32
Your answer should be 3/32, it cannot be simplified so that is the final answer :).
the dimension of the confirms room or 7.2 M * 11 M what is the area of the conference room
Step-by-step explanation:
Just multiply the two dimensions to get m^2 area
7.2 m * 11 m = 79.2 m^2
Helpppppppopooppp pleassseee
Answer:
point p. ok. vrvxfff77t.
write the following equations in a function format: a) -8x+y-3=0 b) 10x-5y=15
Answer
a) y = 8x + 3
f(x) = 8x + 3
b) y = 2x - 3
f(x) = 2x - 3
Explanation
Expressing equations in a function format includes leaving y on the left hand side and the rest on the right hand side.
a) -8x + y - 3 = 0
y = 8x + 3
f(x) = 8x + 3
b) 10x - 5y = 15
-5y = -10x + 15
Divide through by -5
(-5y/-5) = (-10x/-5) + (15/-5)
y = 2x - 3
f(x) = 2x - 3
Hope this Helps!!!
If each quadrilateral below is a kite, find the missing measures.
Answer:
F and H are both 121 degrees
Step-by-step explanation:
"A kite has 4 interior angles and the sum of these interior angles is 360°. In these angles, it has one pair of opposite angles that are obtuse angles and are equal." - Cue math
Ok, so the two acute angles add up to 118 degrees, and in order to find the remaining angles we need, subtract 118 from 360 to get 242. Because the two obtuse angles are equivalent, divide 242 by 2 to get the measure of each.
Can someone please help me? I just need 18 and 20 please. I would appreciate it a lot if you would show me how to get the answer.
Answer:
see below 20)
Step-by-step explanation:
20) considering that center of dialation is on the line and the line has no biginning or ending the line is having the same equation as 5x -2y = 18
writen in slope intrcept form y =5/2x-9
Calculate the amount you would pay (including tax) for an item normally priced $1199 that is currently 30% off, for which you have an additional 10% off coupon, in an area where sales tax is 7%. (the discounts can be stacked or figured sequentially, tax must be applied after the discounted price is determined)
Answer: The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Step-by-step explanation: irst, we calculate the amount of discount that is applied to the original price:
30% of $1199 = 0.3 x 1199 = $359.70
So, the discounted price is:
$1199 - $359.70 = $839.30
Next, we apply the additional 10% off coupon to this discounted price:
10% of $839.30 = 0.1 x $839.30 = $83.93
The final price after the coupon is applied is:
$839.30 - $83.93 = $755.37
Finally, we calculate the sales tax on this final price:
7% of $755.37 = 0.07 x $755.37 = $52.88
The amount you would pay (including tax) for the item is:
$755.37 + $52.88 = $808.25
Show that the point (å,ä ) is on the perpendicular bisector of the line segment with end points
(Ů,ü ) and (ĝ,ġ )
To show that the point (å, ä) is on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ), we need to demonstrate two things: that the point lies on the line segment, and that it is equidistant from the endpoints.
1. Determine the midpoint of the line segment:
- The midpoint coordinates (\(x_{mid, y_{mid\)) can be found using the midpoint formula:
\(x_{mid\) = (x1 + x2) / 2 and \(y_mid\) = (y1 + y2) / 2, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.
In this case, we have (x1, y1) = (Ů, ü) and (x2, y2) = (ĝ, ġ).
2. Calculate the midpoint coordinates:
- Substitute the values into the midpoint formula to find (x_mid, y_mid).
3. Find the slope of the line segment:
- Use the slope formula: slope = (y2 - y1) / (x2 - x1).
Apply the formula to the endpoints (Ů, ü) and (ĝ, ġ) to determine the slope of the line segment.
4. Determine the negative reciprocal of the line segment's slope:
- Take the negative reciprocal of the slope calculated in the previous step. The negative reciprocal of a slope m is -1/m.
5. Write the equation of the perpendicular bisector:
- Using the negative reciprocal slope and the midpoint coordinates (\(x_{mid\), \(y_{mid\)), write the equation of the perpendicular bisector in point-slope form: y - \(y_{mid\) = \(m_{perp\) * (x - \(x_{mid\)), where \(m_{perp\) is the negative reciprocal slope.
6. Substitute the point (å, ä) into the equation:
- Replace x and y in the equation of the perpendicular bisector with the coordinates of the point (å, ä). Simplify the equation.
7. Verify that the equation holds true:
- If the equation is satisfied when substituting (å, ä), then the point lies on the perpendicular bisector.
By following these steps, you can demonstrate that the point (å, ä) lies on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ).
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What is the mode of the data set ?
3,3,5,5,5,7,7,8,15,15
Answer:
5
Step-by-step explanation:
the mode is the number that appears most frequently on a data set.
Answer:
5
Step-by-step explanation:
I need help with math please explain or show how to do t
Answer:
B t = 9(5)
Step-by-step explanation:
for each mile the time increased by 9 minutes. So you can find the time in minutes by multiplying the number of miles by 9.
Plz help (extra points)
Answer:
6/18 bags
Step-by-step explanation:
Answer:
8/12 OF A BAG IS THE RIGHT ANSWER
?
In the table below, y is a linear function of x.
X
-2
1
4
7
10
y
0
9
18
27
36
What is the y intercept of the function
Answer:
I don't understand the question sorry
2/3 of a class are girls. What is the ratio girls to boys in the class? What is the ratio boys to girls in the class?
Answer:
If a class has 2/3 girls.
Lets ask ourselves, what does this mean?
It means that 2/3 of the class are girls and therefore 1/3 of the class are boys. I.e. for every 2 girls in the class there is 1 boy in the class.
Therefore the ratio of girls to boys is
2 : 1
Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
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an airplane flew for one hour and landed 100 miles north and 80 miles east from its origin. what was the distance traveled, speed and angle of direction from its origin?
The distance traveled by airplane is 180 miles.
The speed of the airplane is 3 miles per minute and the angle of direction from the origin is 51.34°
The airplane landed 100 miles north and 80 miles east from its origin and it flew for one hour.
Then, the total distance traveled by airplane will be:
= 100 miles + 80 miles = 180 miles.
The speed can be defined as the distance traveled by the total time taken.
Speed = distance/time
Speed = 180 miles/ 1 hour
Speed = 180 miles/60 minutes
Speed = 3 miles per minute
The angle of direction from its origin will be:
tan (x) = 100 miles/80 miles
x = tan⁻¹ ( 100/80)
x = tan⁻¹ ( 10/8) = tan⁻¹ ( 5/4)
x = 51.34°
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3. Which expression is equivalent to 8W + 12? *
O 42W + 2)
O42W + 3)
04/2w +12)
O 4(8w + 3)
Answer:
Step-by-step explanation:
8w+12 = 4(2w+3)
For each expression, select all equivalent from the list.
(a) 9x-5x+8x
(b) 9(1+7y)
Answer:
a)12x
b)9+63y
goodluck