Answer:
a) 560
b) The Hamburger section will become smaller, the pepperoni will get bigger, the veggie pizza area would increase and the cheese section will decrease.
Step-by-step explanation:
a) 400 pizzas were originally sold (add all pizzas)
1600/400=4
Therefore, 175 (pepperoni pizzas) *4 = 560.
b) Find the difference between the original amount compared to the new amounts to determine what will happen to the size of each sector.
Hope that helped!!! k
If tanx = 1, and 0< x < 90 degrees, find cos(x/2)? a. [tex]-\frac{\sqrt{2+\sqrt{2} } }{2}[/tex] b. [tex]\frac{\sqrt{2+\sqrt{2} } }{2}[/tex] c. [tex]\frac{\sqrt{2-\sqrt{2} } }{2}[/tex] d. [tex]-\frac{\sqrt{2}-\sqrt{2} }{2}[/tex]
Answer:
B is the correct answer.
Step-by-step explanation: If tanx=1, then cosx=√2/2. Use your half angle formulas to plug cosx in, and you should get B as your answer.
Please Answer ASAP: As storm clouds gathered, the temperature fell 4 degrees in 3/4 of an hour. At what rate was the temperature falling? Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer:
[tex]5 \frac{1}{3}[/tex] degrees per hour.
Step-by-step explanation:
If we know that the temperature fell 4 degrees in [tex]\frac{3}{4}[/tex] of an hour, we can set up a proportion to see how much fell in an hour.
[tex]\frac{4}{0.75} = \frac{x}{1}[/tex]
[tex]4 \cdot 1 = 4\\4 \div 0.75 = 5.\overline{33}[/tex]
[tex]5.\overline{33}[/tex] as a fraction is [tex]5 \frac{1}{3}[/tex].
So, the temperature fell at a rate of [tex]5 \frac{1}{3}[/tex] degrees per hour.
Hope this helped!
Answer:
5 1/3
Step-by-step explanation:
State the domain of the glven relation.
Answer:
x ≤ -1
Step-by-step explanation:
The domain is the x-values. Since the graph shows all numbers up to -1, the domain would be all numbers less than or equal to -1:
x ≤ -1
IF YOU GET ALL OF THESE CORRECT I WILL MARK YOU BRAINIEST:
-What is an ordered pair?
-What is first in an ordered pair, the x-value or the y-value?
-How do you find the distance between two points in a coordinate plane? -What is the distance between (4,3) and (4, -2)?
Answer:
1. an ordered pair is a pair or numbers in a specific order. It's a set of points.
2. The x-value is always first in an ordered pair, y-value second
3. The distance between the points is 5 units
Step-by-step explanation:
1. For example, (x,y)
2. no explanation needed
3.You can find the distance of two points by using the distance formula [tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]. To find the distance between (4,3) and (4,-2), we can plug the points into the distance equation. When solved, we get d=5, so the distance between the two points is 5 units.
hope this helps! please give brainliest!!
An ordered pair is a pair of values. The order in which the values appear is very important, since (x, y) is a whole different thing from (y, x).
The first in an ordered pair is the x-value, since mathematics usually goes by the order of the alphabet: a before b, and x before y.
The distance between two points in a coordinate plane is [tex]d = \sqrt{(x1 - x2)^2 + (y1 - y2)^2}[/tex], which is the distance formula.
The distance between (4, 3) and (4, -2)...
d = [tex]\sqrt{(4 - 4)^2 + (3 - (-2))^2}[/tex] = [tex]\sqrt{0^2 + 5^2}[/tex] = [tex]\sqrt{5^2}[/tex] = plus or minus 5.
Since distance can't be negative, the distance between the coordinates is 5 units.
Hope this helps!Write h(x) = x2 - 6x + 3 in vertex form by following these
steps:
Step 1: Model x2 - 6x + 3 by placing tiles in the Product
section. First place the x2 and -x tiles along the left
and top borders to form two sides of a square. Then
place the + tiles along the ends of the -x tiles.
The vertex form of the quadratic equation is:
[tex]h(x) = (x - 3)^2 - 6[/tex]
How to write the quadratic equation in vertex form?
For a quadratic equation:
[tex]y = a*x^2 + b*x +c[/tex]
With vertex (h, k), the vertex form is:
[tex]y = a*(x - h)^2 + k[/tex]
In this case, we have the equation:
[tex]h(x) = x^2 - 6x + 3[/tex]
To get the x-value of the vertex we use the general formula:
[tex]h = -(-6)/(2*1) = 6/2 = 3[/tex]
To get the y-value, we evaluate the function in x = 3, so we get:
[tex]h(3) = k = (3)^2 - 6*3 + 3 = -6[/tex]
So the vertex is (3, -6).
Then the vertex form is:
[tex]h(x) = (x - 3)^2 - 6[/tex]
If you want to learn more about quadratic equations:
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Copying figures 6b
Can anyone help me with this? If so can you better explain it to me on paper. I’m really confused.
Answer: see Steps 1 - 5 (attached)
Step-by-step explanation:
I completed #1 for you. Each image shows one of the steps.
Follow the exact same steps to complete #2 - #5
#6 asks for a double angle.
Add an extra item to step 3: Draw an arc from vertex through the line
--> then draw another arc from B' to the other side of your line (away from the dot) and label that intersection as B''. Use the measure of the vertex to B'' for the remaining steps.
If you need step-by-step images, you will need to post #6 separately as I can only upload 5 images per question.
What is the absolute value of -47
Answer:
47
Step-by-step explanation:
If a number x < 0, |x| = -x, in this case, x = -47, therefore |-47| = -(-47) = 47.
Which category BEST fits the words on List 2? championship, challenge, tournament, rivalry, sports, performance, pageant, match. CHOICES: prizes, competitions, games, celebrities. I nEeD aNsWeR iN 24 hOuRs PlZ!!!!!!!!
Answer:
competitions
Step-by-step explanation:
I got it right.
is 4(x+2)+3x+7 equivalent to 7x+14
Answer:
No equal
Step-by-step explanation:
If you multiply through you get
4x+8+3x+7 which equals
7x+15 which is not equal to 7x+14
Answer:
NoStep-by-step explanation:
Let's solve:
[tex]4(x + 2) + 3x + 7[/tex]
Distribute 4 through the parentheses
[tex] = 4x + 8 + 3x + 7[/tex]
Collect like terms
[tex] = 7x + 8 + 7[/tex]
Add the numbers
[tex] = 7x + 15[/tex]
Hope this helps..
best regards!
Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $27.50 and did not provide supplies. Which equation could be used to find the number of windows, w , that Chad washed for this customer? A) 5.5 w + 3.25 = 27.5 B) 5.5 w - 3.25 = 27.5 C) 5.5 w = 27.5 D) 5.5 - 3.25 w = 27.5
Answer:
C. 5.5 = 27.5
Step-by-step explanation:
The customer did not provide any supplies which means that the number 3.25 should not even be apart of the answer choice because it is not being deducted.
5.50 multiplied by how many widows (w) are washed should equal 27.50
Therefore C. 5.5 = 27.5 is the answer
Answer:
C) 5.5 w = 27.5
*PLEASE ANSWER* If we decrease a dimension on a figure, how is the figure’s area affected? a.) The area decreases. b.) The area becomes 0. c.) The area increases. d.) The area remains the same.
Example: we have a 2 by 3 rectangle with area of 2*3 = 6. If we cut the first dimension in half, then we have a 1 by 3 rectangle that has area 1*3 = 3. The area has decreased. To keep the area the same, we would have to increase the other dimension some specific amount.
The area of the figure decreases when the dimension is decreased
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the figure be represented as ABCD
where ABCD is a rectangle
Now , the measures of the sides of the rectangle be
The length of the rectangle = L
The width of the rectangle = W
And , Area of Rectangle = Length x Width
On simplifying , we get
Area of rectangle = LW
when the dimension of one of the unit is decreased , we get
when L = L/2
Area of rectangle = ( LW) / 2
So , the area of the figure is decreased bu ( 1/2 )
Hence , the area of the figure decreases
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PLEASE HELP Draw the reflection of the figure over the line shown.
The answer is in the picture
Find the angle between the given vectors to the nearest tenth of a
degree.
U = 13i - 8j V = 2i + 9j
Answer: 109.1 degrees
Step-by-step explanation:
To find the angle between the given vectors, we will use the formula below:
Cos(θ) = (U.V)/ |U|.|V|
Where
U = 13i - 8j
V = 2i + 9j
U.V = (2x13) + (-8×9)
U.V = 26 - 72
U.V = - 46
|U| = sqrt ( 13^2 + 8^2)
= sqrt ( 233) = 15.264
|V| = sqrt( 2^2 + 9^2)
= sqrt ( 85 ) = 9.22
Substitute all the value of the parameters into the formula
Cos ø = -46 / (15.3 × 9.2)
Cos ø = - 46 / 140.72
Cos Ø = - 32687
Find the cos inverse of the value
Ø = cos^-1( -32687)
Ø = 109.079 degrees
Therefore, the angle between the given vectors to the nearest tenth of a degree is 109.1 degrees
Your class is measuring the heights of plants in different locations in the classroom.
The table gives the heights of each plant over 3 weeks. Use the drop-down menus to
complete each statement below about this data,
Answer:
First part) measuring each plant at the same time each week
Second part) centimeters and the same
Step-by-step explanation:
Answer:
These heights could have been measured by measuring each plant at the same time each week.
The unit of measure for the heights is centimeters. The units must be the same for each data point in order to compare the rates of growth.
In its first year of operations, Roma Company reports the following. Earned revenues of $53,000 ($45,000 cash received from customers). Incurred expenses of $29,500 ($23,050 cash paid toward them). Prepaid $8,750 cash for costs that will not be expensed until next year.
Complete question :
In its first year of operations, Roma Company reports the following. Earned revenues of $53,000 ($45,000 cash received from customers). Incurred expenses of $29,500 ($23,050 cash paid toward them). Prepaid $8,750 cash for costs that will not be expensed until next year. calculate the first year's net income under both the cash basis and the accrual basis of accounting.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Earned revenue = $53,000
Cash received from customers = $45000
Incurred expenses = $29,500
Cash paid towards incurred expenses = $23,050
Cash which will not be expensed till next year = $8,750
Cash Accounting:
Cash received $45,000
Expenses ($23,050 + $8750) = $31,800
Net Income $(45,000 - 31,800) = $13,200
Accrual Accounting :
Revenue earned $53,000
Expenses incurred $29,500
Net income $(53,000 - 29,500) = $23500
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Answer:
Step-by-step explanation:
Pythagorean Theorem: a^2+b^2=c^2.
15^2+ b^2=25^2
225+b^2= 625
b^2=400
b= 20 or x=20
Answer:
x = 20
Step-by-step explanation:
This is a right triangle and we know 2 of the points so we can use the Pythagorean Theorem to solve. The formula for the Pythagoreom Theroem is a^2 + b^2 = c^2. Side a is 15 and Side b is x. Side c or the hypotenuse is 25. Let's solve for side b:
a^2 + b^2 = c^2
15^2 + b^2 = 25^2
225 + b^2 = 625
Subtract 225 from both sides to get b^2 alone.
b^2 = 625 - 225
b^2 = 400
Find the square root of both sides.
b = 20 or x = 20
Would appreciate it if you gave me brainliest answer :)
Please help
simplify the expression
a²b⁴-b²a⁴/ab(a+b)
Answer:
ab² - a²b
Step-by-step explanation:
a²b⁴ - b²a⁴ can be factored as a²b²(b² - a²) which becomes a²b²(b + a)(b - a). Since the numerator and denominator both have (a + b) and ab the final answer is ab(b - a) = ab² - a²b.
What is the equation of the line that is parallel to y = negative two-thirds x + 4 and that passes through (–2,–2)? On a coordinate plane, a line goes through (3, 2), and (6, 0). A point is at (negative 2, negative 2). y = negative two-thirds x minus four-thirds y = negative two-thirds x minus StartFraction 10 Over 3 EndFraction y = negative two-thirds x minus two-thirds y = negative two-thirds x minus StartFraction 17 Over 4 EndFraction
Answer:
Option B.
Step-by-step explanation:
If equation of a line is y=mx+c, then m is the slope of line.
The given equation is
[tex]y=-\dfrac{2}{3}x+4[/tex]
Here, slope of line is [tex]m=-\dfrac{2}{3}[/tex].
We need to find the equation of line that is parallel to given equation and passes through (–2,–2).
We know that, slope of parallel lines are same. So, slope of required line is [tex]m=-\dfrac{2}{3}[/tex]. So, equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-(-2)=-\dfrac{2}{3}(x-(-2))[/tex]
[tex]3(y+2)=-2(x+2)[/tex]
[tex]3y+6=-2x-4[/tex]
[tex]3y=-2x-4-6[/tex]
[tex]3y=-2x-10[/tex]
Divide both sides by 3.
[tex]y=\dfrac{-2x-10}{3}[/tex]
[tex]y=-\dfrac{2}{3}x-\dfrac{10}{3}[/tex]
Therefore, the correct option is B.
Answer:
B.) y = negative two-thirds x minus StartFraction 10 Over 3 EndFraction
Step-by-step explanation:
suppose y varies inversely with x, and y = 6 when x = 3. Find x when y = 12.
Answer:
1.5
Step-by-step explanation:
[tex]y \: \alpha \: \frac{1}{x} [/tex]
y = k ÷ x
yx = k
y = 6 , x = 3
6 • 3 = k
18 = k
when y = 12 , x = ?
yx = k
12x = 18
x = 18÷12
x = 3/2
x = 1.5
Which is a factor of x2 + 5x − 24?
Answer:
(x−3)(x+8)
Step-by-step explanation:
The middle number is 5 and the last number is -24.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 5
Multiply together to get -24
Can you think of the two numbers?
Try -3 and 8:
-3+8 = 5
-3*8 = -24
Fill in the blanks in
(x+_)(x+_)
with -3 and 8 to get...
(x-3)(x+8)
1) Assume that Mike can walk 3 km per hour. If he had been walking for 5 hours away from the trail, create a table
of values to express how far he walked and graph his progress.
Answer:
see below for a table; see second attachment for a graph
Step-by-step explanation:
Each of the distance values in km in the table will be 3 times the time value in hours.
The slope of the line on the graph is 3. The practical domain of the distance function is 0 to 5 hours.
Which is the factorization of x3 + 8? (x + 2)(x2 – 2x + 4) (x – 2)(x2 + 2x + 4) (x + 2)(x2 – 2x + 8) (x – 2)(x2 + 2x + 8)
Answer:
here the answer is down below
Step-by-step explanation:
Answer:
A (x+2)(x^2-2x+4)
Step-by-step explanation:
just took test
What is the approximate area of the shaded sector in the circle shown below? O A. 25 in2 4.3 in 155 B. 5.82 in2 IC O C. 11.63 in2 D. 50 in2 SUBMIT
Answer:
D. 25 inch²
Step-by-step explanation:
Area of sector of a circle =(r^2∅) /2
where,
r = radius of the circle
∅= angle subtended by the arc at the center of circle in radians.
Given :
∅ =155°
radius =4.3 in
Convert 155° to radian
πradian=180°
155°=π / 180°*155°
=2.705 radians
Area of sector of a circle =(r^2∅) /2
=(4.3^2 * 2.705) / 2
=(18.49 * 2.705) / 2
=50.01545 / 2
=25.007725 inch²
Approximately 25 inch²
25in^2
hope this helpsss ✓✓✓
What is the measure of the major arc?
A. 150
B. 190
C. 210
D. 105
Answer:
C.210
Step-by-step explanation:
360 degrees in a circle. 360-150=210
Which of the following exponential functions is represented by the graph? Question 15 options: A) ƒ(x) = (1∕2)x B) ƒ(x) = 2x C) ƒ(x) = −2x D) ƒ(x) = (1∕2)−x
Answer:
Option (A)Step-by-step explanation:
Let the equation of the exponential function is f(x) = a(b)ˣ
Two points (-2, 4) and (-1, 2) lie on the graph,
For (-2, 4),
By substituting the values in the given function,
[tex]4=a(b)^{(-2)}[/tex]
[tex]4=\frac{a}{b^{2} }[/tex] ------(1)
For second point (-1, 2),
[tex]2=a(b)^{-1}[/tex]
[tex]2=\frac{a}{b}[/tex] -----(2)
Dividing equation (1) by equation (2),
[tex]\frac{4}{2}=\frac{\frac{a}{b^2}}{\frac{a}{b} }[/tex]
[tex]2=\frac{a}{b^{2}}\times \frac{b}{a}[/tex]
[tex]2=\frac{1}{b}[/tex]
b = [tex]\frac{1}{2}[/tex]
From equation (1),
[tex]4=\frac{a}{(\frac{1}{2} )^2}[/tex]
4 = 4a
a = 1
Therefore, equation of the exponential function will be,
f(x) = [tex]1.(\frac{1}{2})^{x}[/tex]
[tex]f(x)=(\frac{1}{2})^x[/tex]
Option (A) will be the answer.
Answer:Answer:
Option (A)
Step-by-step explanation:
Let the equation of the exponential function is f(x) = a(b)ˣ
Two points (-2, 4) and (-1, 2) lie on the graph,
For (-2, 4),
By substituting the values in the given function,
------(1)
For second point (-1, 2),
-----(2)
Dividing equation (1) by equation (2),
b =
From equation (1),
4 = 4a
a = 1
Therefore, equation of the exponential function will be,
f(x) =
Option (A) will be the answer.
Step-by-step explanation:
The low temperature in degrees Fahrenheit for 5 days was – 5, – 7, – 2, 2, and – 3. What was the average low temperature for those days? (Please explain it in detail)
Answer:
-3
Step-by-step explanation:
To find the average of different numbers, first you add them all up. So -5+-7+-2+2+-3+=-15. Then, you divide the sum of all the numbers by the amount of numbers there were. So in this case, there were 5 numbers so we would divide the sum of all of them by 5. So now we do -15/5=-3.
Another example of finding the average of numbers is 15+4+10+9+3+1. So first we add them up and we get 42, then again, we divide by the amount of numbers there are. So we do 40/6 and we get 7, so the average is 7.
I hope this helped.
Community Theater Owner A community theater currently sells 200 season tickets at $50 each. In order to increase its season-ticket revenue, the theater surveys its season ticket holders to see if they would be willing to pay more. The survey finds that for every $5 increase in the price of a season ticket, the theater would lose 10 season-ticket holders. What action, if any, should the theater owner take to increase revenue? a. Let n be the number of $5 price increases in the cost of a season ticket. Write an expression for the cost of a season ticket after n price increases, and an expression for the number of season-ticket holders after n price increases. b. Use the expressions from part a to create a revenue function, R (n) , from the survey information. c. Graph the revenue function. Be sure to label the axes with the quantities they represent and indicate the axis scales by showing numbers for some grid lines.
Answer:
the owner should increase prices to increase revenue (up to n=5)a) c(n) = 50+5n; q(n) = 200-10nb) R(n) =50(10+n)(20-n)c) see below for a graphStep-by-step explanation:
a. The cost of a ticket after n price increases of $5 each will be ...
c(n) = 50 +5n
The number of season-ticket holders (q) after n price increases will be ...
q(n) = 200 -10n
__
b. The revenue after n price increases will be ...
R(n) = c(n)·q(n) = (50 +5n)(200 -10n)
R(n) = 50(10 +n)(20 -n)
__
c. See the attachment for a graph
__
d. The theater owner should raise the price of a season ticket to increase revenue. The number of $5 price increases should not exceed 5 if revenue is to increase. Above that number, revenue will decrease.
The sum of two numbers is 20 more than one of the numbers and 18 more than the other number. What are the two numbers?
Answer:
18 , 20Step-by-step explanation:
Let the numbers be x and y
Sum = x + y
Sum = one number + 20
[tex]x + y = x + 20[/tex]
Cancel equal terms on both sides of the equation.
[tex]y = 20[/tex]
Again,
Finding another number
Sum = other number + 18
[tex]x + y = y + 18[/tex]
Cancel equal terms on both sides of the equation
[tex]x = 18[/tex]
Hence, The two numbers are 18 and 20.
Hope this helps..
Best regards!
We can calculate E the amount of euros that has the same value as D u.s dollars using the equation E=17/20D. How many euros have the same value as 1 US dollar? How many US dollars have the same value as 1 euro?
Answer:
You can try substituting the 1's for different variables (E, D) in the formula , to get answers for each.
a 5 ounce bottle of hair conditioner is priced at $2.55. what is the price per ounce
Answer:
¢51
Step-by-step explanation:
The price of once ounce of hair conditioner is 2.55 divided by 5 which is equal to 0.51. Convert that into cents and you get: ¢51.