This question bus incomplete because it lacks the appropriate options.
Complete Question
The total cost of a new calculator is
$81.05. This price includes a 10% student discount. Followed by a 6.5% sales tax. What was the original price of the calculator, not including the tax or the discount?
A. $77.69
B. $83.99
C. $78.80
D. $84.56
Answer:
D. $84.56
Step-by-step explanation:
From the question, we are given the following values
Total cost of a new calculator = $81.05
Student discount = 10%
Sales tax = 6.5%
The formula to use is
Total price = Original price ( 1 ± r)
Where r = rate of the discount or sales tax
Step 1
Find the original price of the calculator without the discount
Because we are calculating using discount we are using the minus sign
Total price = $81.05
r = 10% = 0.1
Total price = Original price ( 1 - r)
$81.05 = Original price (1 - 0.1)
$81.05 = Original Price × 0.9
Original price = $81.05÷ 0.9
= $90.055555556
Approximately, the original price without the 10% discount is $90.06
Step 2
Find the Original price without the sales tax
Because we are calculating using sales tax we are using the plus sign
Total price = $90.06
This is because the Original price without the discount = Current total price with sales tax for step 2
r = 6.5% = 0.065
Total price = Original price ( 1 + r)
$90.06 = Original price (1 + 0.065)
$90.06 = Original Price × 1.065
Original price = $90.06÷ 1.065
= $84.563380282
Approximately, the original price without the 10% discount and 6.5% sales tax is $84.56
What is the slope of the line that contains the points (-1, 2) and (4, 3)? A. 5 B. 1/5 C. -1/5 D. -5
Answer:
1/5
Step-by-step explanation:
We can find the slope of a line using two points by
m = (y2-y1)/ (x2-x1)
= (3-2)/(4 - -1)
(3-2) /( 4+1)
1/5
Answer:
B. 1/5
Step-by-step explanation:
The slope can be found through two points.
m = rise/run
m = (y2 - y1)/(x2 - x1)
m = (3 - 2)/(4 - (- 1))
m = 1/(4+1)
m = 1/5
Th slope of the line going through the points (-1, 2) and (4, 3) is 1/5.
2.
What is the next term of the arithmetic sequence 6, 10, 14, 18, ...?
Answer:
22
Step-by-step explanation:
In this sequence, the next number is found by adding 4.
Answer:
22
Step-by-step explanation:
10 - 6 = 4
so, all next numbers have to be added by 4
a store bought a vacuum cleaner for $120. the overhead is 5% of the cost. the store wants to make a profit of 10% over the cost plus overhead. find the selling price of the cleaner.
Answer:
The selling price of the cleaner is:
$138.6Step-by-step explanation:
First, we have the base of the value that is $120, now we know that the overhead is 5%, so we must calculate this value in dollars, the 5% of $120 is:
$120 * 5% = $6This value you must add to the base ($120), so the cost with the overhead is $126. How the store wants to make a profit of 10%, you must calculate this 10% of the total cost obtained ($126):
$126 * 10% = $12.6And you must add this value to obtain the final price in the store:
$126 + $12.6 = $138.6Please help I will mark brainliest if you explain WHY the answer is that in simple terms. A thanks and brainliest!
Answer:
The answer will be 7L/100km.
Step-by-step explanation:
The fuel consumption rate is already given for the first 100 km. So, the next 500 km will be 100km to 600km. You have to find the slope of the line during this travel. If you observe, the fuel lowers from 40 litres to 5 litres in this 500km journey. That means, 35 litres were used for 500km. Divide both with 5. That gives 7litres per 100km.
Hey there! :)
Answer:
x = 7L/100km.
Step-by-step explanation:
Solve this problem by using the slope formula:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Use the points (100, 40) and (600, 5) and plug these into the formula:
[tex]m = \frac{5-40}{600-100}[/tex]
Simplify:
[tex]m=\frac{-35}{500}[/tex]
Since this is describing the rate of consumption, we can simply write the slope as:
[tex]m = \frac{35}{500}[/tex]
The question is asking for the rate of consumption over 100 km, therefore:
[tex]\frac{35}{500} = \frac{x}{100}[/tex]
Cross multiply:
3500 = 500x
Divide both sides by 500:
3500/500 = 500x/500
x = 7L/100km.
When you need to convert from one system of measurement to another, you should convert to the
A. metric system.
B. system that will have the highest number.
C. system that will have the smallest number
D. system used on the medication label.
please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
2000 ft x 2= 4000 ft
So the answer is 4000 ft
Can someone help me find what the highlighted part came from?
Answer:
[tex]\cos(\frac25\pi) = \frac14(\sqrt5-1) \approx 0.3090[/tex]
[tex]\sin(\frac25\pi) = \sqrt{\frac58 + \frac{\sqrt5}{8}} \approx 0.9511[/tex]
[tex]\cos(2\pi) = 1[/tex]
The value of [tex]\frac{2\pi }{5}[/tex] radians corresponds to an angle of 180/5 = 72 degrees.
In the diagram, the measure of angle 2 is 126°, the measure of angle 4 is (7x)°, and the measure of angle 5 is (4x + 4)°. A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8. What is the measure of angle 7, to the nearest degree? 35° 54° 76° 104°
Answer:
The correct option is C
C) 76°
Step-by-step explanation:
The question is incomplete because the figure is not given. I have attached the figure of the same question below. Consult it for better understanding.
We can see in the figure that <2 and <4 are opposite angles, therefore these are equal.
<2 = <4
126 = 7x
x = 18
Similarly we can also see that <5 and <7 are also opposite angles, therefore they are equal too.
<7 = <5
<7 = 4x+4
Substitute x=18
<7 = 4(18) + 4
<7 = 76°
Answer:
option c
Step-by-step explanation:
hope this helps :)
Samira wants to create a weekly budget. She knows how much she wants to save for a whole year. Which number should she divide the total savings for to find the value of savings for one week?
Answer: 52 weeks
Step-by-step explanation:
There are 52 weeks in a year, so she should divide her number by 52.
━━━━━━━☆☆━━━━━━━
▹ Answer
52 weeks
▹ Step-by-Step Explanation
1 year = 52 weeks
Since she is trying to find her weekly savings, she would divide by the amount of weeks in a year which is 52 weeks.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Let PQRS be a square piece of paper. P is folded onto R and then Q is folded onto S. The area of the resulting figure is 9 square inches. Find the perimeter of square PQRS.
Answer:
24 inches
Step-by-step explanation:
After folding the piece of paper, the result will be 1/4 the size of the original square.
What is the slope of the trend line drawn into the scatterplot? On a graph, a line goes through points (2, 27) and (13, 36). StartFraction 15 Over 163 EndFraction StartFraction 11 Over 109 EndFraction StartFraction 109 Over 11 EndFraction StartFraction 163 Over 15 EndFraction
Answer:
15/163
Step-by-step explanation: I dont have one
Answer:
i think its D
Step-by-step explanation:
I NEED HELP ASAP!!!!This table shows how many male and female students attended two different movies. What is the probability that a randomly chosen person from this group an action movie?
Answer:
0.43 is the answer
Step-by-step explanation:
you need to take the total of action movie and divide it by the grand total.
204/478 ≈ 0.43
The probability that a randomly chosen person from this group an action movie is 0.43.
What is probability?Probability refers to the idea that an event may or may not happen. The scenario described here is a mutually exclusive event. We must recall that in cases of a mutually exclusive event, we add probabilities.
Hence;
Probability of a male watching an action movie = 105/479
Probability of a female watching an action movie = 99/479
probability that a randomly chosen person from this group an action movie = 105/479 + 99/479 = 0.43
Learn mor about probability: https://brainly.com/question/14227610
Given the function f(x)=-3x^2+4x+6 find f(2) and f(3)
Answer:
f(2)= 2, f(3)= -9
Step-by-step explanation:
To find f(2) o f(3), you simply plug the respective number into the function, substituting it for x:
f(2)= -3(2)^2 + 4(2) + 6
f(2)= -12 + 8 + 6
f(2)= 2
f(3)= -3(3)^2 + 4(3) + 6
f(3)= -27 + 12 + 6
f(3)= -9
Origami is the Japanese art of paper folding. The diagram below represents an unfolded paper kabuto, a samurai warriors helmet. From the kabuto below, which of the following are pairs of congruent angles? Check all that apply.
Answer:
A,C,&D
Step-by-step explanation:any funny bur cute romance anime recommendations?
Write the slope-intercept form of the equation that passes through the point (0, 1) and is parallel to the line y = 3x - 5
Answer: y = 3x + 1
Step-by-step explanation:
In the equation y=mx+b (slope - intercept form), m represents the slope and b represents the y - intercept of the equation. We can use this to answer the problem.
Because the problem specifies here that the equation we are trying to solve for is parallel to y= 3x - 5, we can assume that its slope is 3 (the same as the line it is parallel to - this is so because of the definition of parallel lines).
m = 3
And finally, we know that the y-intercept will be in the form (0, b) - which is exactly what the given point is in. Substitute the value in, and we get:
b = 1
Now put these two values into one equation.
y = mx + b
y = (3)x + (1)
y = 3x + 1
х
f(x)
Which exponential function is represented by the
values in the table?
-2
16
-1
8
0
4
1
2
O f(x) =
= {(4)
Of(x) = 4(4)
O f(x) = 4(
o f(x) = ( )
2
1
Answer:
it's the first one because it's going down by 1/2
The exponential function represented by the values is f(x) = 4(0.5)ˣ.
Exponential functionAn exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
From the table, at point (0, 4):
4 = ab⁰
a = 4
At point (2, 1):
1 = ab²
1 = 4b²
b² = 0.25
b = 0.5
The exponential function represented by the values is f(x) = 4(0.5)ˣ.
Find out more on Exponential function at: brainly.com/question/12940982
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.) plss help 20 or 15 points i believe <3
Answer:
Area of polygon MNOPQR = 13 units
Step-by-step explanation:
Area of smaller rectangle:
(7-3)= 4 units multiplied by (3-2) = 1 unit
= 4 sq. units.
Area of polygon MNOPQR
= 3*3 units + 4*1 units
= 9 units + 4 units
= 13 units
will mark brain edgiunuity ASAP Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be used to find the number of tickets sold in advance? StartFraction 800 divided by 8 Over 35 divided by 8 EndFraction = StartFraction 100 Over 4.375 EndFraction StartFraction 100 divided by 8 Over 800 divided by 8 EndFraction = StartFraction 12.5 Over 100 EndFraction StartFraction 35 times 8 Over 800 times 8 EndFraction = StartFraction 280 Over 6400 EndFraction StartFraction 35 times 8 Over 100 times 8 EndFraction = StartFraction 280 Over 800 EndFraction
Answer:
D on edge
Step-by-step explanation:
merry christmas my elf on the shelf/Farkle is so good and nice ;)
Answer:
d
Step-by-step explanation:
In how many ways can 13 people be divided into four groups with 3, 6, 2 and 2 people respectively?
Answer:
Total combination = 180,180
Step-by-step explanation:
It is a combination based problem.
So,
Total people = 13
Group = 3,6,2,2
So,
For 6 people
13C6= 1,716
For 3 people
7C3 = 35
For 2 group of 2 people
(4C2)/2 = 3
Total combination = 1,716 × 35 × 3
Total combination = 180,180
What is the volume of the rectangular prism below/described? (Don't forget to label your answer!)

Length= 4 1/2 in. Width= 5 in. Height= 3 3/4 in.
The volume of the prism is ___.
(hint: in2 is inches squared; in3 is inches cubed)
Answer:
Step-by-step explanation:
Volume = Length times width times height.
Here,
Volume = (4.5 in)(5 in)(3.75 in), which, when evaluated by calculator, comes out to 84.375 cubic inches.
This is equivalent to 84 3/8 cubic inches.
Answer:
[tex]84\frac{3}{8}in^3[/tex]
Step-by-step explanation:
V = L * W * H
V = 4 1/2 * 5 * 3 3/4
V = 9/2 * 5/1 * 15/4
V = 675/8
V = 84 3/8
Find the percent of change on an item that was $44 and now costs $66.
Answer:
33.3%
Step-by-step explanation:
the increase in price was $22. Find the ratio
$22
-------
$66
which comes out to 0.33333, or 33.3%.
The percent change in the price of the item is 33.3%.
Answer:
It could be 3.3 i'm not to sure- but the other answer was incorrect
Step-by-step explanation:
Which side lengths form a right triangle?
Answer:
B. 5, 12, 13
Step-by-step explanation:
√5²+12²=13 - yes
√4²+7²= 8.06- no
√20²+22²=29.73 - no
am I correct? if not what's the correct anwser?
Answer:
Yes, you are as far as I can tell it looks right to me,
In converting 750 ounces to pounds, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 16 ounces in 1 pound.
Answer:
I would use the pounds.
Step-by-step explanation:
The reasoning behind using the pound is, if you are using fractions per say to get a side by side ration when you are doing 16 ounces to 1 pound you would want to have a unit rate.
750 ounces 16 ounces
------------------- -----------------
x pounds 1 pound
Do you see how much easier it is to convert from ounces to pounds when you have a unit rate? Now once you see how many times you had to multiply 16 to get 750 you can easily multiply that number by 1!
Let PQRS be a square piece of paper. P is folded onto R and then Q is folded onto S. The area of the resulting figure is 9 square inches. Find the perimeter of square PQRS.
Answer:
24 inches
Step-by-step explanation:
After folding the piece of paper, the result will be 1/4 the size of the original square. If you multiply the are of the triangle by 4, you will find that the area of the original square is 36 square inches. The square root of 36 is 6, which shows us that the length of each side of the square is 6. To get the perimeter, multiply 6 by 4 to get 24 inches.
Find the domain for the rational function:
Answer:
3rd Option
Step-by-step explanation:
Since the denominator cannot equal 0, x ≠ 5. Therefore, our domain stops and starts again at 5. So our answer is 3rd option.
Help, please. I tried a bunch of different value but none of them matched up. Help if you can,thanks. :))) Andrew goes to the shop to buy some apples and bananas. He goes to purchase 5 apples and 4 bananas, and the total comes to £5.70. Unfortunately, he doesn’t have enough money, so he puts back 1 apple and 2 bananas. The new total is £3.60. What is the cost of 1 apple and the cost of 1 banana?
Answer:
Applies are £0.50 each and bananas £0.80 each.
Step-by-step explanation:
Represent the numbers of apples and bananas by a and b respectively.
Then:
5a + 4b = £5.70, and:
4a + 2b = £3.60
Let's solve this system using elimination by addition/subtraction. Multiply the 2nd equation by -2, obtaining the equivalent system
5a + 4b = £5.70
-8a - 4b = -£7.20
--------------------------
-3a = -£1.50
Dividing both sides by -3, we get £0.50. Apples are £0.50 apiece.
How much are bananas per piece? Use the first equation; substitute £0.50 for a:
5(£0.50) + 4b = £5.70, or
4b = £3.20. Then b = £0.80.
Applies are £0.50 each and bananas £0.80 each.
if a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?
(ab))
O (a - b)^)
O (a + b)(x)
Answer:
[tex](ab)(x)[/tex]
Step-by-step explanation:
Data provided in the question
a(x) = 2x - 4
b(x) = x + 2
Now we go through each options
First option
[tex](ab)(x)=(2x-4)(x+2)[/tex]
[tex]=2(x-2)(x+2)[/tex]
[tex]=2(x^2-4)[/tex]
[tex]=2x^2-8[/tex]
Second option
[tex]\dfrac{a}{b}(x)=\dfrac{2x-4}{x+2}[/tex]
Third option
[tex](a-b)(x)=(2x-4)-(x+2)[/tex]
[tex]=2x-4-x-2[/tex]
= x - 6
Fourth option
[tex](a+b)(x)=(2x-4)+(x+2)[/tex]
[tex]=2x-4+x+2[/tex]
= 3x - 2
As we can see from the above options only option A is correct i.e it only produced a quadric function
At a family gathering there are 100 people. There are 4 less than twice as many women as men and 6 more children are both combined. How many children are at the gathering? Pick one option below.
• 55 Children
• 57 Children
• 53 Children
• 59 Children
there are 53 children in the family gathering
Answer:
C = 53
Step-by-step explanation:
WHAT WE KNOW
m + w + c =100
2w - 2 = m
6 + w + m = c
-------------------------
FIND C
12-3*y=0 help and explain plss
12-3*y = 0
Subtract 12 from both sides:
-3 * y = -12
Divide both sides by -3:
y = 4
Answer:
y=4
Step-by-step explanation:
Standard form:
−3y + 12 = 0
Factorization:
−3(y − 4) = 0
Solutions:
y = 12/3 = 4
Isolate the variable by dividing each side by factors that don't contain the variable:
y=4