Answer:
Percent decrease is 21.7%
Step-by-step explanation:
The percent decrease is calculated as:
\(Decrease\ percentage = \frac{decrease}{Original\ quantity} * 100\)
Given in the question that:
Cost on travel during November = $83
Cost on travel during December = $65
The percent decrease will be calculated by computing decrease(subtracting the cost of December from the cost of November.
\(Decrease = Travel\ cost\ in\ November - Travel\ cost\ in\ december\\Decrease = \$83-\$65\\= \$18\)
Now, for percentage decrease
\(Percentage\ decrease = \frac{decrease}{Travelling\ cost\ in\ November} * 100\\=\frac{18}{83} * 100\\=21.686..\)
Rounding off to nearest tenth of percent, we get the percentage decrease as 21.7%
Hence,
Percent decrease is 21.7%
Given f(x)=4x^2-5x+3 and g(x)=2x-7, what is f(x)+g(x) ?
Answer:
Step-by-step explanation:
4x^2 - 5x + 3 + 2x - 7
4x^2 - 3x - 4
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
Trace is buying notebooks. Each notebook is $2 off the original price. He buys 8 notebooks for $28. What is the original price of a notebook?
The original price of each notebook is $5.5
How to calculate the original price of each notebook ?
Trace is purchasing some notebooks
Each notebook is $2 off the original price
He buys 8 notebooks for $28
The first step is to calculate the price of one notebook
8= 28
1= x
Cross multiply both sides
8x= 28
x= 28/8
x= 3.5
1 notebook is $3.5
$2 was removed from the initial price. Therefore the original price is
2 + 3.5
= 5.5
Hence the original price of the notebook is $5.5
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Drag one or more expressions into each box to
create an equation that is true for all values of x. (Assume no
denominator equals zero.)
3+4+2
4
+
1 + 2
Preset Choices:
X
x2
(x + 2)
x(x + 2)
x²(x + 2)
Answer:
the right answer is x(x+2)
Need help! Will be appreciated
Answer:
64 miles per gallon
27 feet per second
14 quarts in a barrel
Step-by-step explanation:
on a separate sheet of paper, sketch the rectangle for each problem using any method round and estimate to check your answer problem 1 5 x 4,751
The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.
The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.
2. 7 x 6000 = 42,000.
To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.
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The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.
What is rounding of a number?The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.
In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.
Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.
1. 5 x 4751 ≈ 5 x 4800 = 24,000.
To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.
2. 7 x 6000 = 42,000.
We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.
3. 6 x 5214 ≈ 6 x 5200 = 31,200.
By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.
4. 8 x 3867 ≈ 8 x 3900 = 31,200.
To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.
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Solve 2x + 2y = -28 2x - 2y = 26
Answer:
x=−y−14
Step-by-step explanation:
Answer:
x = none y = -27
Step-by-step explanation:
2x + 2y = -28 + 2x - 26
-2x -2x
__________________
2y = -28 - 26
2y = -54
y = -27
Simplify.
1/cosθ + tan^2θ/cosθ
• 1 + sinθ
• sec^3θ
• 1
• cos^3θ
Answer:
I'm guessing the answer is sec³θ
Step-by-step explanation:
I tried this problem and I got 1/cos³θ and clicked cos³θ, but that answer was incorrect. In my lesson, there were the options:
1. sec³θ
2. cos³θ
3. secθ
I didn't have options 1 + sinθ or 1 as answers. If sec³θ is not the correct answer, please correct me.
Yoooo who’s smart I need help in this ASAP
Answer:
3\(\sqrt[9]{Z}\)²
Step-by-step explanation:
Expression -
(27\(\sqrt[3]{Z}\)²) ^1/3
Transform the expression -
³\(\sqrt[3]{27}\)\(\sqrt[3]{Z}\)²
Simplify - //Note: ignore the ' * '//
3\(\sqrt[3]{*}\)\(\sqrt[3]{z}\)²
Simplify (Again) -
3\(\sqrt[9]{Z}\)²
question is pictured below, need to learn steps to solve this and I dont have my book with me
However, I can still give you some general steps to solve a math problem in 200 words.
Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.
Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.
Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.
Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.
Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.
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2y-11 7-4y find the value of y
Answer:
is the question 2y - 117 - 4y
find the slope between (2,3) and (8,-5)
The slope of the line will be equal to -4/3.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is also defined as the ratio of the rise to the run.
Given that the two points are (2,3) and (8,-5). The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -5 - 3 ) / ( 8 - 2 )
Slope = -8 / 6
Slope = -4 / 3
Therefore, the slope of the line will be equal to -4/3.
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what is the slope of a line perpendicular to the line whose equation is 6x+4y=72
6x+4y=72
First, we will find the slope of the line above
Rearranging the above equation in the form y =mx + b
where m is the slope
6x+4y=72
subtract 6x from both-side of the equation
4y = -6x + 72
divide through the equation by 4
y = -6x/4 + 72/4
y =-3/2 x + 18
comparing the above with y=mx + b
m₁ = -3/2
To find the slope of a line that is perpendicular to the equation;
Let the slope of that line be m₂
For perpendicular equations;
m₁ m₂ = -1
substitute for m₁ and solve for m₂
That is;
-3/2 m₂ = -1
multiply both-side of the equation by -2/3
m₂ = 2/3
Hence the slope of line perpendicular to the line whose equation is 6x+4y=72 is 2/3
Use the graph to answer the question.
Determine the translation used to create the image.
A. 7 units to the right
B. 7 units to the left
C. 3 units to the right
D. 3 units to the left
The correct option is A, we have a translation of 7 units to the right.-
How to determine the translation?To find it, we need to analyze two correspondent vertices.
We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)
Taking the difference between that, we will get:
A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)
The first value gives the horizontal translation and the second the vertical one
So,we have a translation of 7 units to the right, the correct option is A.
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25 is 55% of what number
Answer:
45.45
Step-by-step explanation:
25 is 55% of What Number? - 25 is 55% of 45.45. 100% of 45.45 is 45.45, therefore 55 percent of 45.45 equals 25.
Answer:
x = 500/11
Step-by-step explanation:
look at the attached photo :)
Highlight all the variables in each equation.
7. 9 w − 7 = 3 w + 23
8. (5 − 6 t) =5t + 7
NO 7
9w − 7 = 3w + 23
9w - 3w = 23 + 7
6w = 30
w = 30/6
w = 5
NO 8
(5 − 6t) = 5t + 7
-6t - 5t = 7 - 5
-11t = 2
t = - 2/11
If the following data were transformed and points with the coordinates
(x, log(y)) were plotted, what points would be plotted? Round log(y) to three
decimal places.
X
1
2
3
y
12
83
580
If the data were transformed and points with the coordinates
(x, log(y)) were plotted then the points (1, 1.079), (2, 1.919), (3, 2.763) were plotted.
To plot the points with the coordinates (x, log(y)), we need to take the logarithm of the y-values.
Let's calculate the logarithms for the given data:
x y log(y)
1 12 log(12) = 1.079
2 83 log(83) = 1.919
3 580 log(580) = 2.763
Therefore, the points that would be plotted are (1, 1.079), (2, 1.919), (3, 2.763)
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can anyone help me plz?
Answer:
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Which pair of expressions represents inverse functions?
4x-3x/4x-2 and x+2/x-2
4x+2/x-3 and 5x+3/4x-2
2x+5 and 2+5x
x+3/4x-2 and 2x+3/4x-1
Answer:2 hope this helps it was right on my test
Step-by-step explanation: it was right on the test i took
The price of an item has dropped to $38 today. Yesterday it was $95. Find the percentage decrease.
Answer:
60% decrease
Step-by-step explanation:
Subtract to find how much money it went down by
95 - 38= 57
then use proportions
x/100 = 57/95
then cross multiply
5700 = 95x
60 = x
What is the volume of a rectangular prism with a length of 7.4 centimeters, a width of 3.2 centimeters, and a height of 2.5
centimeters?
O 59.2 cm
26.18 cm
23.93 cm
O 13.1 cm
Step-by-step explanation:
Volume of prism = 3.2 × 7.4 × 2.5
= 59.2 cm³
Answer:
59.2 cm³
Step-by-step explanation:
I Took the test (k12)
Which transformation maps the pre-image to the image?
dilation
reflection
rotation
translation
Answer:
Reflection
Step-by-step explanation:
Because reflecting yourself in a mirror means pre image to image
Answer:
Step-by-step explanation:
dilation
Eugene and Jessica each improved their yards by planting hostas and geraniums. They bought
their supplies from the same store. Eugene spent $150 on 18 hostas and 6 geraniums. Jessica
spent $113 on 7 hostas and 16 geraniums. Find the cost of one hosta and the cost of one
geranium.
The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.
Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.
From the information given, we can set up the following equations:
Eugene's spending:
18h + 6g = $150
Jessica's spending:
7h + 16g = $113
We can now solve this system of equations to find the values of 'h' and 'g'.
Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:
36h + 12g = $300
21h + 48g = $339
Now, we can subtract the second equation from the first to eliminate 'h':
(36h + 12g) - (21h + 48g) = $300 - $339
36h - 21h + 12g - 48g = -$39
15h - 36g = -$39
Simplifying further, we have:
15h - 36g = -$39
Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.
Let's solve for 'h':
15h = 36g - $39
h = (36g - $39) / 15
Substituting this value of 'h' into Eugene's equation:
18[(36g - $39) / 15] + 6g = $150
(648g - $702) / 15 + 6g = $150
648g - $702 + 90g = $150 * 15
738g - $702 = $2250
738g = $2250 + $702
738g = $2952
g = $2952 / 738
g ≈ $4
Now, substituting the value of 'g' back into Eugene's equation:
18h + 6($4) = $150
18h + $24 = $150
18h = $150 - $24
18h = $126
h = $126 / 18
h ≈ $7
Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
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The function h(t)=−16t2+48t+28 models the height (in feet) of a ball where t is the time (in seconds). How many seconds is the ball in the air before it hits the ground? Just write the numerical answer - do not include t= or any units in your answer. If your answer is not an integer, enter it either as a decimal or an improper fraction - do NOT use mixed numbers.
The ball can take 3/2 seconds in the air before it hits the ground.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The function is,
⇒ h (t) = - 16t² + 48t + 28
Which models the height (in feet) of a ball where t is the time (in seconds).
Now,
Find the time to the ball in the air before it hits the ground as;
The function is,
⇒ h (t) = - 16t² + 48t + 28
Make derivative zero after differentiation as;
⇒ h' (t) = 0
⇒ h' (t) = - 32t + 48 = 0
⇒ - 32t + 48 = 0
⇒ 32t = 48
⇒ t = 48/32
⇒ t = 3/2 seconds
Thus, The ball can take 3/2 seconds in the air before it hits the ground.
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Answer: 7/2
Step-by-step explanation:
the average sneeze can travel 3/100 miles in 3 seconds at this rate, how far can it travel in one minute?
Given:
Average sneeze can travel =
\(\frac{3}{100}\text{miles in 3 seconds}\)This means it can travel 0.03 miles in 3 seconds
\(3\text{ seconds = }\frac{3}{60}\min utes\)Let's find the rate per minute.
Since 60 seconds make 1 minute, the rate will be:
\(\frac{3}{100}\times\frac{60}{3}=\frac{180}{300}=\frac{3}{5}=0.6\text{ mile per minute}\)Therefore, sneeze can travel 0.6 mile in one minute.
ANSWER:
0.6 MILE per minute
How much would it have rain each month if the total amount of rain 11 inches was redistributed equally among the 12 months of the year
Answer:
0.9166666666666667
Step-by-step explanation:
11 divided by 12 =0.9166666666666667
A company sells Apple, Cherry, and Walnut
Mix. The ingredients are listed below for one
batch. They make large batches in order to
fill 250 bags. Determine how many pounds of
each ingredient should be used to make a
large batch. Decide how much the company
should charge for each bag of Apple, Cherry
and Walnut Mix, and explain how you made
your decision.
Apple, Cherry and Walnut Mix Recipe
3/4 pounds of dried apples
½ pounds of dried cherries.
½ pound of walnuts
Prices
dried apples: $2.80 per pound
dried cherries: $4.48 per pounds
walnuts: $3.96 per pound
Answer:
Step-by-step explanation:
1/4 of all of it
anyone have the answer to this one?
Area of the rectangle is 60
Area of the semi circle 14.13 ir 14.1
60 plus 14.1 is 74.1
I hope its right
What is 2,443,802,280 rounded to the nearest ten million
Answer:2,440,000,000
Step-by-step explanation:
The price of a Graphing calculator is $80 the sales tax is 7%. What is the cost of the calculator
Answer:
$85.60
Step-by-step explanation:
In this question, we need to find the price of the calculator after tax.
We know the cost of the calculator is $80 and the sales tax is 7%
To find your answer, we would multiply 80 by 1.07:
80 · 1.07 = 85.60
The total cost of the calculator is $85.60