Answer:
234.8525 square inches
Step-by-step explanation:
To find the total area of construction paper needed for the project, we need to find the area of each rectangle and add them together.
For the first rectangle, the dimensions are:
Length = 9 inches
Width = 14 1/3 inches
Area of the first rectangle = Length x Width
Area of the first rectangle = 9 inches x (43/3) inches
Area of the first rectangle = 9 inches x 14.33 inches
Area of the first rectangle = 128.97 square inches (rounded to two decimal places)
For the second rectangle, the dimensions are:
Length = 10 1/4 inches
Width = 10 1/3 inches
Area of the second rectangle = Length x Width
Area of the second rectangle = (41/4) inches x (31/3) inches
Area of the second rectangle = 10.25 inches x 10.33 inches
Area of the second rectangle = 105.8825 square inches (rounded to four decimal places)
Therefore, the total area of construction paper needed for the project is:
Total area = Area of first rectangle + Area of second rectangle
Total area = 128.97 square inches + 105.8825 square inches
Total area = 234.8525 square inches (rounded to four decimal places)
Therefore, Alexia needs a total of approximately 234.8525 square inches of construction paper for her project.
Question 2! Need help please
9 Henry has a length of string that is 2,850 centimeters
long. He needs some pieces that are 78 centimeters
long for an art project. What is the greatest number
of pieces that Henry can cut?
What is a explanation
Answer:
36
Step-by-step explanation:
2850/78 = 36.538
Answer:
36.538
Step-by-step explanation:
since he has 2,850 worth of string and he needs 78 pieces, you would divide 2,850 by 78 which gives you 36.53846154 but you would make it 36.538. if you needed to round by the tenths, its 36.5, hundredths is 36.54, and thousandths is 36.538.
CAN SOMEONE HELP ME and please tell me the right answer this test means a lot to me :(
Find each quotient.
494 ÷ 95 =
136.8 ÷ 24 =
96.9 ÷ 19 =
43.2 ÷ 8 =
Answer:
1. 5.2
2. 5.7
3. 5.1
4. 5.425 or 5.4
Step-by-step explanation:
hope this helps :)
Answer:
1. 5.2
2. 5.7
3. 5.1
4. 5.4
Step-by-step explanation:
you can use the app photo math, you just take a picture of the problem and it will give you the answer and explain the steps.
NO LINKS!! URGENT HELP PLEASE!!
You are making a sandwich to take for lunch. You can choose between white bread or wheat bread, which both have a 50% chance of being selected. Then choose your main topping. There's a 30% you would choose ham, 25% that you choose turkey, and 45% that you make PB and J instead. Unfortunately, you only have American cheese, so your final option you can choose American cheese (65%), or no cheese at all (35%). Make a tree diagram. What is the probability that you choose a ham sandwich with American cheese, or PB and J (without cheese)?
Answer:
Ham Sandwich with American cheese = 0.015
PB and J without cheese = 0.1575
Both probabilities together = 0.1725
Step-by-step explanation:
Attached is the tree diagram
Hope this helped
Answer:
The probability that you would choose to make a ham sandwich with American cheese OR a PB and J sandwich without cheese is 35.25%.
Step-by-step explanation:
Tree diagrams show the probabilities for a sequence of two or more independent events.
For the given problem:
Event 1 is the choice of of bread.Event 2 is the choice of main topping.Event 3 is the choice of cheese or no cheese.These events are independent events since each event is not affected by the previous event.
The given probabilities for each choice are:
White bread = 50%Wheat bread = 50%Ham = 30%Turkey = 25%PB and J = 45%Cheese = 65%No cheese = 100% - 65% = 35%Create a tree diagram with the given information (see attachment 1).
The end of each branch should be labelled with its outcome, and the probability of that event should be written along the branch.
To calculate the probability of each combination, multiply the probabilities along the branches.
To find the probability that you would choose to make a sandwich with white bread, ham and cheese, multiply along the branches representing those events:
⇒ 50% × 30% × 65% = 9.75%
To find the probability that you would choose to make a sandwich with wheat bread, ham and cheese, multiply along the branches representing those events:
⇒ 50% × 30% × 65% = 9.75%
To find the probability that you would choose to make a sandwich with white bread, PB & J and no cheese, multiply along the branches representing those events:
⇒ 50% × 45% × 35% = 7.875%
To find the probability that you would choose to make a sandwich with wheat bread, PB & J and no cheese, multiply along the branches representing those events:
⇒ 50% × 45% × 35% = 7.875%
On a tree diagram, when moving along the branches (from left to right) we multiply, and when moving down we add.
Therefore, to calculate the probability that you would choose to make a ham sandwich with American cheese, or a PB and J sandwich without cheese, add the four found probabilities:
⇒ 9.75% + 9.75% + 7.875% + 7.875% = 35.25%
10/14 a/10.5
solve for A with explanation
Answer:
\(a = 7.5\)
Step-by-step explanation:
Given
\(\frac{10}{14} = \frac{a}{10.5}\)
Required
The value of a
Cross multiply
\(a * 14 =10 * 10.5\)
Make a the subject
\(a = \frac{10 * 10.5}{14}\)
\(a = \frac{105}{14}\)
\(a = 7.5\)
Evaluate C= 2 兀 r, for r= 8.
O C = 16
O C= 10 兀
O C= 28 兀
O C= 16 兀
Answer:
The correct answer is C = 16 兀
explanation:
In this problem, C represents the cost and r represents the rate. The formula for calculating the cost is C = 2 * r, where C is the cost in 兀 and r is the rate in 兀/unit.
When r is 8 兀/unit, the cost is C = 2 * 8 = 16 兀.
Answer:
C = 16 π
Step-by-step explanation:
If C = 2 π r, and r = 8:
C = 2 π (8)
Simplify (multiply 2x8):
C = 16 π
If my dad is 3x my age today and he was 4x my age 10 years ago, how old will I be in 25 years from now?
Answer:
55
Step-by-step explanation:
We can use the given relations to write an equation that can be solved for my age 25 years from now.
__
Let x represent my age in 25 years. The age relationships can be summarized as ...
in 25 years -- me: xnow -- me: x-25; dad: 3(x-25) = 3x-7510 years ago -- me: x-35; dad: 3x -85We know 10 years ago my dad was 4 times my age, so we have ...
4(x -35) = 3x -85
4x -140 = 3x -85 . . . eliminate parentheses
x = 55 . . . . . . . . . . . add 140-3x
I will be 55 in 25 years from now.
_____
Additional comment
10 years ago, I was 20 and my dad was 80. Now, I'm 30 and my dad is 90. In 25 years, I'll be 55.
What is the value of x in the equation 2x - 3/5 = -1/10
Answer:
1/4
Step-by-step explanation:
you add 3/5 to the other side and find the lcm making it 6/10--1/10=5/10. Then 5/10 divided by 2 = 2.5/10 which you can simplify to 1/4.
Answer: x=1/4
Step-by-step explanation:
1. Isolate x: if you move -3/5 to the other side, your equation would become
=> 2x=-1/10+3/5
2. Find the common denominator: since you can't add -1/10 with 3/5 without simplifying, you're equation would change to this:
=> 2x=-1/10+6/10
3. Simplify:
=> 2x=5/10 => 2x=1/2
4. Divide:
=> 2x=1/2 => x=1/2*1/2 => x=1/4
Have a nice day! :D
What is the slope of the line shown below? 10 A. -6 B 6 C -2 D 2
step 1
Find the slope
we have the points
(2,2) and (-1,-4)
m=(-4-2)/(-1-2)
m=-6/-3
m=2
therefore
the answer is 2 option DQuestion
A card is drawn from a standard deck of 52 cards and then placed back into the deck. Find the probability that a red card is
drawn at least once by the third draw. Round your answer to two decimal places.
Provide your answer below:
The probability that a red card is drawn at least once by the third draw is 0.88.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Let, a card is drawn from a standard deck of 52 cards and then placed back into the deck.
In a standard 52 card deck the red cards are 26.
So,
P(red) = n(red cards) / n(total cards)
= 26 / 52
P(red) = 0.50
Now, X ≈ Bin (n = 3, P = 0.50)
P(X = x) = (n x) p^x (1 - p)^n-x
(n x) = \(\frac{n!}{x!(n-x)!}\)
P(X ≥ 1) = 1 - P(X < 1)
= 1 - P(X = 0)
= 1- (3 0)(0.5)^0(0.5)^3
= 1 - 0.125
= 0.875
P(X ≥ 1) = 0.88
Hence, the probability that a red card is drawn at least once by the third draw is 0.88.
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Describe the the cross section
A.Square
B.Pentagon
C.Trapezoid
D.Cube
Answer:
A. Square
Step-by-step explanation:
Hmm yes looks very much like a square if you ask me. This is right!!
For every point on the graph of f(x), there is a point on the graph of F^-1(x) with reversed coordinates. TRUE or FALSE
you will get 40 points for answering it!
The statement, For every point on the graph of f(x), there is a point on the graph of F⁻¹(x) with reversed coordinates is false.
What is inverse function?In relation to the original function f, the inverse function is denoted by the symbol f⁻¹, and both the original function's domain and its range are transformed into the inverse function's domain and range, respectively. Swapping (x, y) with (y, x) with reference to the line y = x yields the graph of the inverse function.
We know that inverse of function is NOT the reciprocal of f. The composition of the function f and the reciprocal function f inverse gives the domain value of x.
Hence, the statement, For every point on the graph of f(x), there is a point on the graph of F⁻¹(x) with reversed coordinates is false.
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Rewrite in logarithmic form 19^2 = 361
Answer:
\(\log_{19}{361}=2\)
Step-by-step explanation:
We know that taking logarithms performs the transformation ...
\(b^e=x\\\\e\cdot\log{b}=\log{x}\quad\text{take logs}\\\\e=\dfrac{\log{x}}{\log{b}}\quad\text{divide by $\log{b}$}\\\\\log_b{x}=e\quad\text{use the change of base formula}\)
Then for b=19, e=2, x=361, we have
\(\boxed{\log_{19}{361}=2}\)
Determine if it is possible to form a triangle using the set of segments with the given measurements.
4.5 in., 5.6 in, 10 in.
a) No, adding all three sides does not add up to the correct measurements.
b) No, because two sides add up to less than the third one.
c) No, because two sides add up to more than the third one.
d) Yes, because two sides add up to less than the third one.
e) Yes, because two sides add up to more than the third one.
Answer:
e) Yes, because two sides add up to more than the third one.-------------------------
Apply the Triangle Inequality Theorem.
It states that:
For a triangle to exist, the sum of the lengths of any two sides must be greater than the length of the third side.We'll take the sum of two shortest sides and compare with the longest:
4.5 + 5.6 = 10.1 > 10It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.
The matching answer choice is e).
Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1. She recognizes that the expression will be easier to simplify if she can combine 70 and 30 before she works with the other numbers. Which should she do first?
She can use the associative property to rewrite the expression as (70 + 30) + 12.8 + 6.1.
She can use the associative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
She can use the commutative property to rewrite the expression as (70 + 30) + 12.8 + 6.1.
She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
Option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Patti is using mental math to evaluate the expression (70 + 12.8 + 30) + 6.1.
The number expression is:
= (70 + 12.8 + 30) + 6.1
As we know from the commutative property
a + b = b + a
Applying commutative property in the number expression:
= (70 + 30+ 12.8) + 6.1
She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1.
Thus, option (D) She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1 is correct.
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Consider the following function.
h(x)=(x−4)2−1
Step 2 of 4 : Find the x-intercepts, if any. Express the intercept(s) as ordered pair(s).
What number is 35% of 675?
Answer:
236.25
Step-by-step explanation:
35/100x675=945/4 = 236.25
One set of markers costs x dollars. Express using algebras. If Jen has $15.00, how much money will she have after buying a set of markers?
The money Jena will have after buying a set of markers in algebra expression is y = 15 - x.
Arithmetic operations like subtraction, addition, division, multiplication, and exponentiation are used to combine variables and integers to produce any algebraic expression. A variable, a number, or a variable and number with an exponent as a product can all be used as the phrase.
Cost is the amount of money spent by a business to produce or create goods or services.
The cost of one set of markers is x dollars.
Now Jen has a total of $15.
Then, the amount of money "y" Jena will have after buying one set of markers will be:
y = 15 - x
Hence, the algebraic expression after buying one set of markers is y = 15 - x.
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The sum of two consecutive integers
is at least 36.
What is the least possible pair of integers?
Answer:
18 and 19
Step-by-step explanation:
n+(n+1)=36
2 x n+1=36
n>35/2
(2x+9)+(3x+9)=180
I need to on find X
Answer:
x=72 I hope I am correct have a great day:)
L={d,e,g} J ={b,c,h} what is the union of L and J
Step-by-step explanation:
well, the combination of all set elements.
FYI : if some elements appear in both sets, we only use these once for the result set (this is not the case here, but it might be in other questions).
the combination of both sets is then
{b, c, d, e, g, h}
In October 2010, the amount of money held by individuals and companies was $893.4 billion; checkable deposits owned by the same individuals and companies were $345.6 billion; money market funds were $1.9423 trillion; savings deposits were $989.4 billion; finally, time deposits were $243.8 billion.
What is the M1 for October 2010?
A.) $1.24 trillion or $1,239 billion
B.) $1.34 trillion or $$1,335 billion
C.) $2.84 trillion or $2,836 billion
C.) $1.14 trillion or $1,137 billion
Answer:
In October 2010, the amount of money held by individuals and companies was $893.4 billion; checkable deposits owned by the same individuals and companies were $345.6 billion; money market funds were $1.9423 trillion; savings deposits were $989.4 billion; finally, time deposits were $243.8 billion.
80)
The number of miles per gallon of gasoline that a car averages varies inversely as the average speed the car
travels. A car gets 11 miles per gallon at 42 mph. How many miles per gallon will it get at 61 mph? Round to the
nearest tenth if necessary. A) 16 miles per gallon B)7.6 miles per gallon C)0.13 miles per gallon D)0.06 miles per gallon
Answer:
The number of miles per gallon of gasoline that a vehicle averages varies inversely as the average speed the car travels. A vehicle gets 16 miles per gallon at 53 mph.
Step-by-step explanation:
hope this helps you :)
I need help with this
I NEED YOUR HELP!! I'LL. GIVE YOU BRAINLIEST
Answer: ∠16 and ∠11
Step-by-step explanation:
All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.
The correct corresponding angles are ∠16 and ∠11.
A line passing through the point (-8,-3) and has a slope of 5/4
Answer:
y=5/4x+7
Step-by-step explanation:
Honestly, I just guessed and checked, but here is a picture of evidence.
The population of a bacterial culture grows at a rate of 4.5% every hour. If there were
200 bacteria at the start, how many bacteria are present after 10 hours?
310
250
300
370
There are 310 bacteria are present after 10 hours.
The first is the correct option.
What is Exponential Growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
y = a(1+r)ˣ,
where a is the initial population and r is the rate in decimals and x is the time period.
Given:
The population of a bacterial culture grows at a rate of 4.5% every hour.
If there were 200 bacteria at the start,
then the number of bacteria after 10 hours are,
y = 200(1 + 0.045)¹⁰
y = 310.6
Therefore, 310.6 bacteria are present after 10 hours.
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This is Peter’s pattern: 2, 6, 18, 54, 162.
In this pattern it increases by multiplying what number by the prior number to get the next value?
multiply by( blank* )
Answer:
486
Step-by-step explanation:
The pattern is multiplying by 3.
162 · 3 = 486
Answer:
fdgvbn
Step-by-step explanation:
xdcfvgbn
You just designed a new kind of cell phone, and now you want to put it up for sale. Each phone costs you
$100 to produce.
Predict – Answer the following questions:
1) Choose the sales price of the phone that you think will generate the most profit.
2) What could happen if you set the price too low?
3) What could happen if you set the price too high?
Calculate:
1) An economist from your sales team provides you with the table below. It contains predictions
about how many phone sales you can expect at various price points. Complete the other columns.
Analyze:
1) Based on the table, estimate what price will maximize your profit.
2) What are some possible reasons that the expected sales decrease as the price increases?
3) What is the x-intercept? What does that point represent?
Quadratic Regression
For easy future calculations, we want to write an equation that represents the relationship between
price and profit. Enter your data for x and y into a calculator. Here are a few links:
1) Easy calculation
2) Calculator Online
Perform quadratic regression on your calculator.
Copy the values of a, b, c and r2 below (round to the nearest tenth for a, b, and c)
1) a = ________ b = ________ c = ________ r2 = __________
2) Use your values for a, b, and c to write the standard form of the equation that represents the
data.
a. f(x) = ax2 + bx + c f(x) = x2 + x +
3) What is r2
, and what does it say about your equation?
4) Sketch a graph of your equation on the coordinate plane below. Make sure to label:
a. The axes and what they represent
b. The zero(s)
c. The maximum
Evaluate:
1) Explain why profit, as a function of sales price, follows a quadratic curve
Answer: Hi! Read the explanation below:
Brainliest?
Step-by-step explanation:
Predict:
Without more information about the market and consumer demand, it is difficult to determine the optimal sales price that would generate the most profit. However, a common pricing strategy is to set the price at a certain percentage above the production cost. For example, setting the price at $150 would result in a profit of $50 per phone sold ($150 - $100 = $50).
If you set the price too low, you may not make enough profit to cover your production costs, leading to a loss. Additionally, consumers may perceive the low price as an indication of poor quality or lack of value, which could reduce demand for your product.
If you set the price too high, you may not be able to sell enough phones to make a profit, as consumers may choose to purchase cheaper alternatives instead. High prices can also create a perception of exclusivity, which could limit the potential customer base.
Calculate:
See the table below.
Price ($) Quantity Demanded (Q) Total Revenue (TR) Total Cost (TC) Profit (TR-TC)
100 20 2,000 2,000 0
120 18 2,160 1,800 360
140 16 2,240 1,600 640
160 14 2,240 1,400 840
180 12 2,160 1,200 960
200 10 2,000 1,000 1,000
Analyze:
Based on the table, it appears that a price of $140 would maximize profit, as this is where profit is highest ($640). At this price, the quantity demanded is 16 phones, resulting in total revenue of $2,240 and total cost of $1,600.
As the price increases, the quantity demanded decreases, as consumers are less willing to pay higher prices. This leads to lower total revenue and profit.
The x-intercept is when profit is equal to zero, or where TR = TC. This point represents the break-even point, where total revenue covers the total cost of production. In this case, the x-intercept is at a price of $150.
Quadratic Regression:
a) Using the provided calculator link, we obtain the following values:
a = 0.05
b = -10
c = 500
r2 = 0.9
b) The standard form of the equation that represents the data is:
f(x) = 0.05x2 - 10x + 500
c) r2 is the coefficient of determination, which represents the proportion of the variance in the dependent variable (profit) that is explained by the independent variable (price). An r2 value of 0.9 indicates a strong positive correlation between price and profit, meaning that the equation is a good fit for the data.
d) See graph below.
Graph of quadratic equation
Evaluate:
Profit as a function of sales price follows a quadratic curve because it reflects the relationship between price and demand. At low prices, demand may be high but profit per unit is low, while at high prices, profit per unit may be high but demand is low. The optimal price is the one that balances these