Answer:
The bill was $36.95 without tax.
The price before tax was the amount of $37.25 which is before a 9% sales tax was added to their bill.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Their bill was charged a 9% sales tax.
Amy paid the bill with a $10 gift certificate plus $30.60
Use the equation P + rP =T,
where P is the price before tax, r is the sales tax rate, and T is the total price, including tax.
The price before tax (P) is unknown.
The total price(T) = 30.60 + 10 = 40.60
The sales tax rate (r) = 9% = 9/100 = 0.09
⇒ P + rP = T
Substitute the values in the above equation, and we get
⇒ P + (0.09)P = 40.60
⇒ P(1 + 0.09) = 40.60
⇒ P(1.09) = 40.60
⇒ P = 30.60/(1.09)
Apply the Division operation, and we get
⇒ P = 37.247706
Rounded to the nearest hundredth
⇒ P = 37.25
Therefore, the price before tax was the amount of $37.25.
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ethan bought 4 packages of pencils. after he gave 8 pencils to his friends, he had 40 pencils left over. how many pencils were in each package? use the drop-down menus to solve the problem arithmetically and algebraically
Answer:
there was 12 pencil's in each package because 12 ×4=48 48 -8=40
A television costs $258.98. The sales tax rate is 8.5% . How much will. It cost to buy the television
Answer:
The cost is $280.99
Step-by-step explanation: First do 258.98 divided by 100 which will then equal 2.5898 times 8.5 equal 22.0133 which will then be rounded to 22.01 and then you add 258.98 + 22.01 and that will equal 280.99
5)
A coach is ordering jerseys for the school.
• The coach pays a one-time fee of $10.
• The coach also pays $12 for each shirt ordered.
Which function can be used to find t, the total amount the coach pays in dollars when c shirts
are ordered?
A t = 12c + 10
Bt = 100 - 12
Ct = 120 - 10
D t = 10c + 12
Answer:
10c + 12
Step-by-step explanation:
I believe that is the answer please let me know if I am wrong
3/4+(1/3divided by 1/6)-(-1/2)=
HURRY pls i need a answer ASAP
Answer:
Step-by-step explanation:
Answer:
3.25
Step-by-step explanation:
please help as soon as possible and please don’t take advantage of the points
a:1 hour
b:1.5 hours
c:2 hours
d: 3.5 hours
e:5.5 hours
Answer:
2 hours
Step-by-step explanation:
can someone help with this i don't get it
Answer:
Lord have mercy thats a bunch of numbers I woud help but i dont know how to start
Step-by-step explanation:
Log 8 1/32 is equaled to
Answer:
I think the answer wold be -5/3 or -1.666666667 .
The value of the given expression is,
[tex]log_8 \frac{1}{32}[/tex] = -3/5
The given logarithmic expression is,
[tex]log_8 \frac{1}{32}[/tex]
Since we know that,
The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to expressing enormous numbers is this manner. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms may also be represented as multiplication and division of logarithms.
We can write the given expression as,
[tex]log_8 \frac{1}{32}[/tex] = [tex]log_8 32^{-1[/tex]
= - [tex]log_8 32[/tex] [ [tex]log_a b^x = x log_a b[/tex]]
= - [tex]log_{2^3} 2^5[/tex]
= - [tex]\frac{3}{5} log_{2} 2[/tex] [ [tex]log_{a^y} b^x = \frac{x}{y} log_a b[/tex]]
= -3/5 [ [tex]log_{a} a = 1[/tex]]
Hence,
[tex]log_8 \frac{1}{32}[/tex] = -3/5
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Identify the volume of the composite figure. Round to the nearest tenth.
Answer:
474.5 ft ³
Step-by-step explanation:
1) Find the volume of the cube
[tex]A=l^3[/tex] where l is the side length
Plug in 9 ft as l
[tex]A=9^3\\A=729[/tex]
Therefore, the volume of the cube is 729 ft³.
2) Find the volume of the cylinder
[tex]A=\pi r^2h[/tex] where r is the radius of the base and h is the height of the cylinder
Plug in 3 ft as the radius and 9 as the height
[tex]A=\pi (3)^2(9)\\A=\pi (9)(9)\\A=81\pi \\A=254.5[/tex]
Therefore, the volume of the cylinder is approximately 254.5 ft ³.
3) Subtract the volume of the cylinder from the volume of the cube
729 ft³ - 254.5 ft ³
= 474.5 ft ³
Therefore, the volume of the figure is 474.5 ft ³.
I hope this helps!
Answer:
I think It's A
Step-by-step explanation:
What is the positive solution to this equation?
4x2 + 12 x= 135
9. Given that P = (-1,16) and Q = (1, 9), find the component form and
magnitude of vector QP (Q is initial and Pis terminating). *
Which graph represents the linear function y=1/5x-2
Answer: The second one
Step-by-step explanation: Y-int is -2 and the slope is 1/5 so we know its going up but very slowly
what is 184.26 in standard form
A parallelogram has vertex at (-5 , -1) (-2, -1), (-3,-4), and (-6,-4). What is the approximate perimeter of the parallelogram round your answer to the nearest hundredth
Answer:
12.4 units
Step-by-step explanation:
We have to find the length of the sides of the parallelogram which is calculated using the formula for Distance
= √(x2 - x1)² + (y2 - y1)² where we are given the vertices (x1, y1) and (x2, y2)
For side A
(-5 , -1) (-2, -1)
= √(-2 -(-5))² + (-1 - (-1))²
= √(-2 + 5)² + (-1 + 1)²
= √3² + 0
= √9
= 3 units
For side B
(-2, -1), (-3,-4)
= √(-3 -(-2))² + (-4 -(-1))²
= √(-3 + 2)²+ (-4 + 1)²
= √-1² + -3²
= √1 + 9
= √10 units
= 3.1622776602 units
Approximately = 3.2 units
For side C
(-3,-4), (-6,-4).
= √(-6 -(-3))² + (-4 - (-4))²
= √(-6 + 3)² + (-4 + 4)²
= √-3² + 0²
= √9
= 3 units
For side D
(-5 , -1), (-6,-4)
= √(-6 - (-5))² + (-4 - (-1))²
= √(-6 + 5)² + (-4 + 1)²
= √-1² + -3²
= √1 + 9
= √10 units
= 3.1622776602 units
Approximately = 3.2 units
From the above calculation , we can see that,
side A = side C
side B = side D
The formula for the Perimeter of a Parallelogram is = 2(Side a + Side b)
= 2(3 + 3.2) units
= 2(6.2) units
= 12.4 units
PLZ HELP ME LOL
A large cheese pizza cost 7.50. Diego has 40$ to spend on pizzas. How many large cheese pizza can he afford . Explais or show your rwasoning
finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number
Answer:
this is your answer look it once
Show all your work! Thank you!
Answer:
a
Step-by-step explanation:
1+1=2 2+2=4 meaning its 9$ for the cheesecake and 10 for the apple pie
What is the measure of E in degrees?
Answer:
c
Step-by-step explanation:
E=10×10+25
but solve it to make sure
the answer is 130° a p e x
Help me please with math
Answer:
d. 2x³y + 12x²y² + 18xy³
Step-by-step explanation:
Volume = l x b x h
= 2xy × x + 3y × x + 3y
= 2xy × (x + 3y)²
= 2xy × (x² + 6xy + 9y²)
= 2x³y + 12x²y² + 18xy³
Solve the system by substitution.
y = 7x – 20
y = 2x
Answer:
x=4 y=8
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation
Natalia is making a model of a statue using a scale in which 7 centimeter equals 4 feet. If the model is 3.5 centimeters wide, what is the actual width of the statue, in feet? Your answer can be exact or rounded to two decimal places,
Answer:
2 ft
Step-by-step explanation:
[tex] \dfrac{7}{4} = \dfrac{3.5}{x} [/tex]
[tex] 7x = 4 \times 3.5 [/tex]
[tex] x = 2 [/tex]
Answer: 2 ft
A spinner used in a board game is divided into 8 equally sized sectors. Three of these sectors indicate that the player should move his token forward on the board, two of these sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board. The total area of the sectors that do not allow the player to move his token is 35.9 inches squared. What is the radius of the spinner
Answer:
5.52 inch
Step-by-step explanation:
Recall :
Area of Sector : θ/ 360 * πr²
Sectors that do not allow movement : (8-3-2) = 3
Total sectors = 8
θ/ 360 = 3/8 ; Area = 35.9
Radius = r
35.9 = 3/8 * π * r²
35.9 / (3/8 * π) = r²
30.472866 = r²
r = √30.472866
r = 5.52 inch
The radius of the spinner is 5.520 inch whose [tex]\frac{3}{8}[/tex] sector area is 35.9 inches square.
It is given that the spinner used in a board game is divided into 8 equally sized sectors. three sectors indicate that the player should move his token forward on the board, two sectors indicate that the player should move his token backward, and the remaining sectors award the player bonus points but do not move his token on the board and its area of the sector is 35.9 inches square.
It is required to find the radius of the spinner.
What is the area of the sector?The region enclosed by the two radii of a circle and the arc is known as a sector's area. In other words sector area is a portion of the circle's area.
We know the formula of sector area (A):
[tex]\rm A= \frac{\theta}{360 \°} \pi r^2[/tex] Where 'r' is the radius of the circle and [tex]\rm \theta[/tex] is in degree
The remaining sectors = ( Total sectors - Three sectors - Two sectors)
= ( 8 - 3 - 2) ⇒ 3 sectors indicate the player do not move his token
Total sector = 8
[tex]\rm \frac{\theta }{360 \° } = \frac{3}{8} \ when \ A = 35.9 \ inches^2[/tex]
Putting these values in the above formula, we get:
[tex]\rm 35.9 = \frac{3}{8} \pi r^2\\\rm 35.9\times 8 = 3\pi r^2\\\rm 287.2 = 3\pi r^2\\\\\rm \frac{287.2}{3} = \pi r^2\\\\\rm 95.733= \pi r^2\\\rm 30.4728 = r^2[/tex]Where [tex]\rm \pi[/tex] = 3.14159
[tex]\sqrt{30.4728} = r\\\rm 5.520= r \\\rm or = 5.520 \ inch[/tex]
Thus, the radius of the spinner is 5.520 inch.
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John's toy car is built on a scale of one
inch represents 12 inches on the actual
car. If john's toy car is 5 inches long,
how long is the actual car?
Find the ending
balance:
$3,000 for 30 years
3.5% annual simple
interest
rttrtbtrertbr4gbigbnerunburhurh
PLEASE HELO ME AND EXPLAIN PLEASE. AND PLEASE SHOW IN STEPS!! i will mark brainliest if you get it correct!
Step-by-step explanation:
The height of the swipe card is given by :
[tex]h(t)=-3t^2+15t+18[/tex] .....(1)
We need to find the maximum height of the swipe card and the time to reach the maximum height.
For maximum height, put dh/dt = 0
So,
[tex]\dfrac{d}{dt}(-3t^2+15t+18)=0\\\\-9t+15=0\\\\t=\dfrac{15}{9}\\\\t=1.67\ s[/tex]
It will take 1.67 seconds to reach the maximum height.
Now, put t = 1.67 s in equation (1).
[tex]h(1.67)=-3(1.67)^2+15(1.67)+18\\\\=34.68\ feet[/tex]
Hence, the maximum height of the swipe card is 34.68 feet and the time to reach this height is 1.67 s.
if there 3 cats and 3 dogs how mush would be together
Answer:
6
Step-by-step explanation:
3+3 = 6
Answer:
There is 1 cat for each dog so the ratio would be 1:1 together.
Step-by-step explanation:
This means there are twice as many cats as dogs, or half as ... The ratio of 6:3 reduces to the ratio of 1:1
5.
Loren is running in a long distance race. She is able to keep a steady pace of 10 feet per second.
Answer:
a or c Im not sure
Step-by-step explanation:
I think b though
The line which represents the speed as 10 feet per second is line B thus none of the given options are correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
As per the given,
Loren is running at speed of 10 feet per second.
Speed = distance covered/time taken
10 = distance covered/time taken
In line B, the ratio of distance covered/time taken is 10.
Thus, line B will be correct.
Hence "The line which represents the speed as 10 feet per second is line B thus none of the given options are correct".
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pls help will mark brainliest if correct
Answer:
its D Please put me as brain eat if correct
Find the perimeter of this semi-circle with diameter 62cm.
Give your answer as an expression in terms of Pi
Please include the formula
Step-by-step explanation:
hope it helps
have a great day!!
Max is drawing plans for a garden, measured in feet, which is shown below on the coordinate plane. Max has two vertices of the garden at points (Negative 1, 2) and (Negative 1, Negative 2).
Answer:
The other two vertices are (4 , -2) and (4 , 2)
Answer:
The answer is (B)
Step-by-step explanation:
Max is drawing plans for a garden, measured in feet, which is shown below on the coordinate plane. Max has two vertices of the garden at points (Negative 1, 2) and (Negative 1, Negative 2).
On a coordinate plane, points (negative 1, 2) and (negative 1, negative 2) are plotted.
At which points should Max have the other two vertices in order to make the area of his garden 20 square feet?
(2, Negative 2) and (2, 2)
✅(4, Negative 2) and (4, 2)
(3, Negative 2) and (3, 2)
(5, Negative 2) and (5, 2)
Point T bisects UV. Find UV if UT = 2 inches