Blue earns 5.5% commission working at Advian. If he sells $85,000 worth of goods during the quarter,
what is his commission?
Answer:
$4,675
Step-by-step explanation:
The commission is 5.5% of $85,000.
5.5% * $85,000 =
= 0.055 * $85,000
= $4,675
Answer:
$4675
Step-by-step explanation:
85,000 x .055 = 4,675
Hope that helps!
8.12
Given the diagram below, what is cos(45") ?
450
Triangle not drawn to scale
A. 2-3
B. 4/2
C.
D. JE
The value of cos 45° in the given triangle is 1/√2, Option C is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
In the given right triangle the hypotenuse is 8√2
In the given triangle the two legs are equal.
Let x be the length of the two legs
By Pythagoras theorem, let us find the length of a leg.
x²+x²=(8√2)²
2x²=64(2)
2x²=128
Divide both sides by 2
x²=64
Take square root on both sides
x=8
Now let us find the cosine function, the ratio of adjacent side and hypotenuse
cos45 = 8/8√2
=1/√2
Hence, the value of cos 45° in the given triangle is 1/√2, Option C is correct.
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Mr. Smith wants to order some pizza and cheese pizza cost $11 and pepperoni pizza cost $12.50 if you bought 13 pieces total and paid $153.50 how many pepperoni pizza did he buy
Answer: Mr Smith bought 7 pepperoni pizza
Step-by-step explanation:
Step 1
cost of cheese pizza =$11
pepperoni pizza cost =$12.50
let number cheese pizza be represented as c
and number of pepperoni pizza be represented as p
such that the total number of pizza bought which equals 13 can be represented as
c+ p= 13
and total cost of both pizza can be expressed as
11c+ 12.50p =153.50
Step 2 Solving
c+ p= 13
11c+ 12.50p =153.50
By elimination method, Multiply equation 1 by 11 and subtract the new equation from equation 2
11c+ 12.50p =153.50
11c+ 11p=143.
1.5p =10.5
p= 10.5/ 1.5 =7
c+ p= 13
c= 13-p =13-7=6
Therefore Mr Smith bought 6 cheese pizza and 7 pepperoni pizza
A billiard ball is struck by a cue. It travels 100 cm before ricocheting off a rail and traveling another 100 cm into a corner pocket. The angle between the path as the ball approaches the rail and the path after it strikes the rail is 45 degrees. How far is the corner pocket from where the cue initially struck the ball?
Answer:
76.53 cm
Step-by-step explanation:
From the question, the triangle formed has 2 sides and an included angle ;
Angle, θ = C = 45°
We use cosine rule :
Taking the side to find as c
a = 100 ; b = 100
From cosine rule :
c = sqrt(a² + b² - 2abCosC)
c = sqrt(100² + 100² - 2(100*100)Cos45
c = sqrt(10000 + 10000 - 20000 * 0.7071067)
c = sqrt(20000 - 14142.135)
c = sqrt(5857.865)
c = 76.536690
c = 76.53 cm
Tamia watched 1 2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Tamia watch at
Answer: Tamiya watched [tex]\dfrac16[/tex] of the movie at night.
Step-by-step explanation:
Let x = part of movie watched at night.
Given : Tanya watched [tex]\dfrac12[/tex] of movie in the morning.
Part left to watch = [tex]\dfrac13[/tex]
As per given, we have
[tex]\dfrac12+x+\dfrac13=1\\\\\Rightarrow\ x=1-\dfrac13-\dfrac12\\\\\Rightarrow\ x=\dfrac{6-2-3}{6}\\\\\Rightarrow\ x=\dfrac16[/tex]
Hence, Tamiya watched [tex]\dfrac16[/tex] of the movie at night.
please help picture shown above... which one doesn’t belong and why?
Give the domain and range of each relation. Tell whether the relation is function. Explain. (GUYS I NEED HELP IDEK WHAT DOMAIN OR FUNCTION MEANS) pls help
Answer:
Domain: [0, 4]
Range: [0, 4]
Function? Yes
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x) Vertical Line Test - no function can have the same x-value for different y-coordinatesStep-by-step explanation:
According to the graph, our x-values span from 0 to 4. Since both are closed dot, they are inclusive in the domain:
Interval Notation - [0, 4]
Inequality Notation - 0 ≤ x ≤ 4
According to the graph, our y-values span from 0 to 4. Since both are closed dot, they are inclusive in the range:
Interval Notation - [0, 4]
Inequality Notation - 0 ≤ x ≤ 4
Since we see that each x-value has a unique y-value and passes the vertical line test.
∴ the relation is a function.
Which property is used in the problem below?
2(x+4)=2x+8
Answer:
You would use the distributive property.
Step-by-step explanation:
2(x+4) = 2x+8
2x+8x = 2x+8
10x = 2x+8
10x - 2x = 2x-2x+8
8x = 8
8x/8 = 8/8
x = 1
(05.01)
Which equation can be used to calculate the area of the shaded triangle below? (5 points)
(Answers in photo)
Answer:
answer of the above given question is (c) 1/2(10*6)=30,as we know the area of the triangle is 1/2*base*height.So,we can directly find the area of the triangle.
Write an equation in slope intercept form given m=2 and b=1
whoever guesses my birth month first gets the brainliest
Calculate the vapor pressure (in torr) of a solution containing 0.2 moles of solute dissolved in 10 moles of water at 25°C. Vapor pressure of pure water at 25°C is 23.8 torr. Enter text here Enter 2021 Acellus Corporation. All Rights Reserved. C
Answer:
the vapor pressure of a solution at 25°C that contains 76.6 g of glucose (180.2 g/mole) in 250.0 mL of water. The vapor pressure of pure water at 25°C
Step-by-step explanation:
your answer is: 22.9 torr at 25°C
Explanation:
When a non volatile solute is added to a pure solvent, the vapour pressure of the mixture decrease regard to the pure solvent following the equation
Where vapour pressure of the pure solvent (Water) is 23.8torr at 25°C.
Mole fraction of water is the ratio between moles of water and total moles in solution. The solution has a mole fraction of water of:
Replacing in Raoult's law:
Vapor pressure of the solution is 22.9 torr at 25°C
hope this helps!
Izzy's Frozen Treats sells both frozen yogurt and frozen custard by the ounce. Last week, Marco noticed that a 3-ounce cup of frozen yogurt cost less than a 3-ounce cup of frozen custard. Marco has $5 to spend at Izzy's Frozen Treats today. Which can he buy more of, frozen yogurt or frozen custard?
A)frozen yogurt
B)frozen custard
plz show the work i really need help and this is Compare rates: word problems
Answer:
A. Frozen yogurt
Step-by-step explanation:
The frozen yogurt costs less than the frozen custard, even though you get the same amount (3 ounces)
No matter how much money Marco has, he would be able to buy more of the frozen yogurt because it has a cheaper unit rate.
So, the answer is A, frozen yogurt
how do i calculate the range? {mean, median, mode, range} pls help ASAP
Also, can you tell me in the comments how to delete an answer or remove it?
Answer:
The anwer is below.
Step-by-step explanation:
To calculate mean a.k.a average of something is when you add all of the numbers in the set and then multiply by the number of numbers there were.
an example : 4, 5,6,7 = 4+ 5 + 6 + 7 + 3 = 25 divided by 5 ( the number of numbers there were ) which is 5 so the mean is 5
To calculate the median you have to organize the set of numbers from least to greatest choose the middle number and that's the median, If there is an even number of numbers in the set then you add the two middle numbers and divide it by 2.
an example : 5,7, 8, 4 = 4, 5, 7 , 8 = the middle numbers = 5 + 7 = 12 divided by 2 = 6
To calculate the mode you have to see which numbers comes more often in the set of numbers, If there are two different numbers that come often even if one is higher include them in the mode.
An example - 5,6,6,6,6,7,7,7. The mode in this is 6 but 7 comes often to so if your teacher tells you to include more than one mode in these kinds of situation you include 7 or in general you don't have to
To calculate the range you choose the greatest and the lowest numbers and substract the highest to the lowest number in the set.
An example 5, 6, 7 , 9 , 8 = 9 ( the highest number in this set) - ( substraction) 5 ( the lowest number in this set) and 9 - 5 = 4 so the range is 4
x(3x - 5) please and 5x(x - 3y) urgent !
Answer: 3x^2-5x
5x^2-15xy
Step-by-step explanation:
Answer:
3x² - 5x & 5x² - 15 xy
Step-by-step explanation:
1) x(3x - 5)
x × 3x - x × 5 (take the brackets out)
3x² - 5x.
2) 5x (x - 3y)
5x × x - 5x × 3y (take the brackets out)
5x² - 15 xy
Q1. Which of the following are well-defined sets?
(a) All the colors in the rainbow.
(b) All the points that lie on a straight line.
(c) All the honest members in the family.
(d) All the consonants of the English alphabet.
(e) All the tall boys of the school.
(f) All the efficient doctors of the hospital.
(g) All the hardworking teachers in a school.
(h) All the prime numbers less than 100.
(i) All the letters in the word GEOMETRY.
Answer:
A. All the colors in the rainbow.
Step-by-step explanation:
I think.
Peter wrote five numbers. Which of peters numbers can be divided into 7 equal groups with 0 left over? Choose that all apply 56, 52, 42, 35, 27,
Answer:
56
42
35
Step-by-step explanation:
Pls 79 points and no fake I will report you
Answer:
A: False
B: False
C: True
D: False
E: True
Step-by-step explanation:
Every true answer has a reasonable amountable difference.
Surprised to see someone not faking for points?
Hope this helped!
Tobey, Finn, and Mary rode their bicycles in the park.
Tobey: 432 yards
Finn: 1,300
Mary: 1/4 mile
Who rode the furthest? Explain how you know.
Answer: Mary
Step-by-step explanation:
Tobey 432 yards is 1296 foots
Mary 1/4 mile is 1320 foots
You didnt mark what kind of measurment Finn has but I assume it's foots, then Mary wins!
(Tobey 1296)
(Finn 1300)
(Mary 1320)
Answer:
Yeah it's Mary
Step-by-step explanation:
is XYZ a right triangle if x=12 y=17 and z=20
[tex]\huge\text{Hey there!}[/tex]
[tex]\text{Is XYZ a right triangle if x = 12, y = 17, and z = 20?}[/tex]
[tex]\bold{Well, right\ angles\ usually\ equal\ to\ about\ approximately \ 90^\circ$}[/tex]
[tex]\bold{12(17)(20)}\\\bold{12(17)=204}\\\bold{204(20)=4,080}\\\bold{4,080\neq90^\circ$}\\\boxed{\boxed{\bold{\underline{NO}, because\ 4,080\ DOES\ NOT\ equal\ to\ to\ 90^\circ }}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
which of the following statements are true?
Answer:
A. C.
Step-by-step explanation:
6. Find the measure of each
marked angle.
The measure of each marked angle is 60 degrees for the given figure, which are alternate exterior angles.
The angles are given as:
∠1 = 10x-20 and ∠2 = 7x+4
As we know that alternate exterior angles are described as the pair of angles formed on the outer side of the parallel lines and on opposite sides of the transversal when two parallel lines are crossed by a transversal.
By alternate exterior angles, it can be written as:
∠1 = ∠2
10x-20 = 7x+4
10x -7x = 4 + 20
3x = 24
x = 24/3
x = 3
From given angles:
80 - 20 = 60
56 + 4 = 60
Thus, the measure of each marked angle is 60 degrees.
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What is the volume of this rectangular prism?
Answer:
1cm³
Step-by-step explanation:
You do not need a calculator for this.
The formula for the volume of a rectangular prism is:
Length × Width × Height = Volume
If we substitute our numbers in:
5/4 × 4/3 × 3/5 = 1cm³
All you need to do is multiply across.
5 × 4 × 3 = 60
4 × 3 × 5 = 60
The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.
60/60
URGENT HELP NEEDED SO PLS HELP
Answer:
1. 18π
2. 39.27cm
3. 4[tex]x^{5}[/tex][tex]z^{8}[/tex]
Hans opens a circular window that is 3.5 feet across at its widest point. What is the circumference of the window to the nearest whole number? Use 3.14 for π. help pls
Answer: 11
Step-by-step explanation:
i did 3.5 x 3.14 = 10.99 and rounded to the nearest whole number, 11.
The circumference of the circular window to the nearest whole number is 11 feet.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2pir.
The area of a circle is pir^2.
We have,
To find the circumference of the circular window, we need to use the formula:
C = πd
where C is the circumference, π is the constant pi, and d is the diameter of the circle.
Since the window is 3.5 feet across at its widest point, the diameter of the circle is also 3.5 feet.
Plugging in the value of the diameter in the formula, we get:
C = πd
C = 3.14 x 3.5
C = 10.99
Rounding the result to the nearest whole number, we get:
C ≈ 11 feet
Therefore,
The circumference of the circular window to the nearest whole number is 11 feet.
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The lunch special at Manal's Restaurant is a sandwich, a drink and a dessert. There are 4 sandwiches, 2 drinks, and I dessert to choose from. How many lunch
specials are possible?
5 ?
Answer:
There is 8 possible combinations.
Step-by-step explanation:
4 sandwiches: turkey, ham, cheese, chicken
2 drinks: milk, water
1 desert: cake
possible combinations:
1: turkey, milk, cake
2:turkey, water, cake
3: ham, milk, cake
4: ham, water cake
5: cheese, milk, cake
6: cheese, water, cake
7: chicken, milk, cake
8: chicken, water, cake
6. Belle wants to find out the average of her test scores in Algebra. What is her average test score if she did 95, 88, 93, 80, 78, 82?
Answer:
86
Step-by-step explanation:
add up all the scores then divide by the amount of test taken. total test score is 516, total test is 6 so 516÷6=86
What is the measure of N
Answer:
No picture sorry
Write the ratio of 24 cats to 16 dogs in simplest form in 3 ways explain or show your work
Answer:
3:2
3 to 2
3/2
Step-by-step explanation:
24/16 reduces to 3/2.
Answer:
3/2 5/3 12/8
Step-by-step explanation:
Randy wanted to survey to determine the most preferred pet of the residents in his city.Which method of samplingBEST represents the most unbiased opinion?
Answer:
Survey 100 residents who have pets completely randomly
Step-by-step explanation:
The best sampling method would be to Survey 100 residents who have pets completely randomly. This would provide first-hand information from actual pet owners which would make the results valid. Also, by choosing the individuals to survey completely randomly it allows for the data to be unbiased and representative of the entire pet owner population in the city. This makes the data gathered completely unbiased and valid.