Answer:
Step-by-step explanation:
The average value of all the pennies, nickels, dimes, and quarters in Paula's purse is 20 cents. If she had one more quarter, the average value would be 21 cents. How many dimes does she have in her purse
Im very confused about my precourse work for AP environmental science.
The conversion method given on the paper is something I am not used to and I cant seem to find any information about anything like this. I only need help with #3 and #4.
The computation shows that the values are 64000 acres and 563 metric tons.
How to compute the values?1. A 100 square mile area of national forest is how many acres?
1 mile square = 640 acres
100 square miles = 100 × 640 = 64000 acres.
2. Fifty eight thousand kilograms of solid waste is equivalent to how many metric tons?
1 metric ton = 103kg
58000 kg = 58000/103 = 563 metric tons
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Which of the following best describes the slope of the line below?
A. Positive
B. Zero
C. Negative
D. Undefined
Answer:
Zero
Step-by-step explanation:
Since the line is a horizontal line, the slope does not change. The slope is zero.
Answer:
Zero
Step-by-step explanation:
A zero slope is when the line is horizontal and when the slope equals to zero
I hope it helps! Have a great day!
bren~
Which expression is equivalent to (x^6y^8)^3/x^2y^2
Answer:
x^7y^9
Step-by-step explanation:
Remembering the laws of indices and applying BODMAS
(x^6y^8)^3/x^2y^2
(x^6 * y^8)^3/x^2 * y^2
opening bracket
we get;
x^6+3 * y^8+3/x^2 * y^2
x^9 * y^11/x^2 * y^2
Applying law of indices at which when the values are the same during division we pick one coefficient and minus the power
therefore;
x^9-2 * y^11-2
x^7 * y^9
=x^7y^9
Noah has a summer tree-trimming business. Based on experience, Noah knows that his profit, P, in dollars, can be modelled by = −32 + 150 − 1200, where x is the amount he charges per tree.
1. How much does he need to charge if he wants to break even?
2. How much does he need to charge if he wants to make a profit of $600?
Answer:
Addition form: x = 75 + √3 (675 − P) / 3
or
Subtract form: x = 75 − √3 (675 − P) / 3
The student council is hosting a homecoming event for past graduates and current students. The treasurer determines that the event revenue from the event can be represented by R (z) = 0.05x³75, where x is the number of tickets sold. The cost to put on the event is represented by the function C(z) = 30x + 12,500. Which function describes the funds raised, F(x), as a function of the number of tickets sold? O F(z) F(x) F(x) 0.05³ +30 - 12, 425 F(x) 0.05z³ 30x - 12,425 O = 0.05³ +30 - = 12,575 = 0.05³ 30 - 12,575
The function that describes the fund that was raised is 0.05³ - 30x - 12425
How to solve for the functionThe revenue is R (z) = 0.05x³ + 75
the cost = C(z) = 30x + 12,500.
Please note that the equation for revenue missed a sign in the question so I made use of the plus sign
We would have revenue - cost
Hence ( 0.05x³ + 75) - (30x + 12,500)
We would open the bracket
0.05x³ + 75 -30x -12500
We would take the like term to
0.05³ - 30x -12500 + 75
0.05³ - 30x - 12425
The function that describes the fund that was raised is 0.05³ - 30x - 12425
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Answer: F(x)=0.05x^3-30x-12,575
Step-by-step explanation:
Correct on test.
A chemist wants to make 45 ml of a 17% acid solution by mixing a 13% acid solution and a 19 % acid solution. How many milliliters of each solution should the chemist use?
Answer:
22 millilitres of 13% solution
23 millilitres of 19% solution
Step-by-step explanation:
A + B = 45
13A + 19B = 45 x 17 = 765
-13A - 13B + 13A + 19B = -650 + 765 = 115
5B = 115
B = 23
22 + 23 = 45
A = 22
PLEASE HELP IM STUCK PLEASE HELP
Answer:
y = 3x + 5
Step-by-step explanation:
x = number of years
• bush grows 3cm per year
• the initial height is 5cm
3cm per year times x number of years: y = 3x
Add the initial height of 5cm: y = 3x + 5
What's the exact value of sin 7/12?
Answer:
C
Step-by-step explanation:
using the addition formula for sine
sin(A + B) = sinAcosB + cosAsinB
note that [tex]\frac{7\pi }{12}[/tex] = [tex]\frac{\pi }{3}[/tex] + [tex]\frac{\pi }{4}[/tex] , then
sin [tex]\frac{7\pi }{12}[/tex]
= sin([tex]\frac{\pi }{3}[/tex] + [tex]\frac{\pi }{4}[/tex] )
= sin[tex]\frac{\pi }{3}[/tex]cos[tex]\frac{\pi }{4}[/tex] + cos[tex]\frac{\pi }{3}[/tex]sin[tex]\frac{\pi }{4}[/tex]
= ( [tex]\frac{\sqrt{3} }{2}[/tex] × [tex]\frac{\sqrt{2} }{2}[/tex] ) + ([tex]\frac{1}{2}[/tex] × [tex]\frac{\sqrt{2} }{2}[/tex] )
= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]
= [tex]\frac{\sqrt{2}+\sqrt{6} }{4}[/tex]
A tub contains red, blue, green and white counters. 40% of the counters are red or white. The ratio of blue to green counters is 3:2.The ratio of red to white counters is 3: 5. What is the probability of picking a red or green counter?
The probability of randomly getting a red or green counter is:
P = 39%/100% = 0.39
How to get the probability?We know that 40% of the counters are red or white. Then 60% of the counters are blue or green.
Now we know that the ratio of red to white is 3:5
Then the percentage of red counters is:
(3/8)*40% = 15%
And the ratio of blue to green is 3:2
Then the percentage of red counters is:
(2/5)*60% = 24%
Then the percentage of counters that are either red or green is:
15% + 24% = 39%
Then the probability of randomly getting a red or green counter is:
P = 39%/100% = 0.39
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Which ordered pairs are in the solution set of the system of linear inequalities?
y > Negative one-halfx
y < One-halfx + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 0) and (4, negative 2). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 2, 0) and (2, 2). Everything below the line is shaded.
(5, –2), (3, 1), (–4, 2)
(5, –2), (3, –1), (4, –3)
(5, –2), (3, 1), (4, 2)
(5, –2), (–3, 1), (4, 2)
The ordered pairs (5 , -2) , (3 , 1) , (4 , 2) are in the set of the solution (Option C)
What is an ordered pair?An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order.
It aids visual comprehension by locating a point on the Cartesian plane.
How do we arrive at the solution?The first line has negative slope and passing through points (0 , 0) and (4 , -2)
That is y > (-1/2)x
The second line has positive slope and passing through points (-2 , 0) and (2 , 2)
That is: y < (1/2)x + 1.
- Refer to the accompanying diagram to discover the common component of the solutions.
- The inequity is shown by the red shading.
- The inequity is shown by the blue shading.
- The two-colored shaded area reflects the common solutions to the two inequalities.
- Let's discover the ordered pairs in the system of linear inequalities' solution set.
- Points (-4, 2), (-3, 1), (4, -3) define the common shaded area.
- Points (5, -2), (3, 1), (3, -1) (4 , 2)
As a result, Point (5, -2) is in the darkened region.
As a result, Point (3, 1) is in the darkened area.
As a result, Point (4, 2) is in the darkened area.
As a result, the ordered pairings (5, -2), (3, 1), (4, 2) are in the solution set.
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What is the minimum point on the graph of the equation y=f(x)+5 ?
Answer:
Step-by-step explanation:
This function will have a minimum point only if f(x) has one.
Examples:
y = x + 5: straight line with no minimum
y = x^2 + 5: parabola that opens up and has vertex at (0, 5); thus, the minimum is (0, 5)
What f(x) did you have in mind? Please share it.
At 9am a car a began a journey from a point, travelling at 40 mph. at 10am another car b started travelling from the same point ai 60 mpb in the same direction as car a. at what time will car b pass car a?
Answer:
In 3h (12am)
Step-by-step explanation:
First car A Will by 10 am be 40 miles from staring point, then car B Will start going 60mph and by 11am car A Will be 80 miles from start, and car B Will be 60 miles from start in 12 am car A Will be at 120 miles and car B Will be also 120 miles
And answer is in 3h or in 12am
A credit card company charges a late fee of 10% on all late payments. last month, jamal was charged a late fee. the total amount paid, including the late fee, was $275. what was the original amount on the credit card before the late fee?
Answer:
265
Step-by-step explanation:
You subtract 275 minus 10
$247.5 was the original amount on the credit card
Lets simplify the problem,
Total amount after late fee = $275
Late fee deduction = 10%
Original amount = 275 - 10% of 275
= 275 - 27.5
= $247.5
So $247.5 was the original amount on the credit card before the late fee.
Percentage:
In mathematics, a percentage is a number or ratio that represents a fraction of 100. It is often denoted by the symbol "%" or simply as "percent" or "pct." For example, 35% is equivalent to the decimal 0.35, or the fraction.
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Simplify: x^3-1/x^2-1
Answer:(x-1)(x^2+x+1) / (x+1)(x-1)
Step-by-step explanation:
For x^3-「1」→ 1=1^3
For x^2-「1」→ 1=1^2. this way of thinking might help you understand better:)
You can just use a formula of factorizationヾ ^_^♪
how much greater is 9 hundredths than 8 thousandths
9 hundredths is greater than 8 thousandths by 82 thousandths
Place valueFrom the question, we are to determine how much greater 9 hundredths is than 8 thousandths
9 hundredths = 9/100 = 0.09
8 thousandths = 8/1000 = 0.008
Then,
0.09 - 0.008 = 0.082
= 82/1000
≡ 82 thousandths
Hence, 9 hundredths is greater than 8 thousandths by 82 thousandths
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A new Concept XI bicycle cost a bike shop $800. The shop set the original list price of the bicycle at a price greater than $800. During the shop’s 30th anniversary sale, every list price in the store was marked down 30%. The shop sold this bicycle during its anniversary sale. Given that the shop made a 40% profit on the sale of this bicycle, what was the bicycle’s original list price?
Based on the fact that the shop still made a 40% profit on the concept xi bicycle, the original listing price must have been $1,600.
what price was the bicycle originally listed at?assuming the list price is x, the formula would be:
800 x 1.40 = (x × 0.7)
solving gives:
1,120 = 0.7x
x = 1,120 / 0.7
= $1,600
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Sara's telephone service costs $31 per month plus $0.25 for each local call. Long-distance calls are extra. Last month, Sara's bill was $54.35, including $8.35 in long-distance charges. How many local calls did she make?
Answer:
60 local calls
Step-by-step explanation:
Total price minus the long-distance charges: 54.35 - 8.35 = $46.00
46 minus the fixed per month cost: 46-31 = $15
15 divided by the cost of each local call: 15/0.25 = 60 calls
Someone help me please
Answer: 12
Step-by-step explanation:
Let's say that the length needed to be found is x
As the two lengths of both triangles are parallel to one another, we can use the equation to find x
6/x = (6+4)/20
6/x = 1/2
x = 12
HELPPPPPP MATHHHH pleaseee
Answer:
A
Step-by-step explanation:
A right-triangle has the hypotenuse length of 5 units long. One of the other sides of the triangle is 3 units. What is the length of the remaining side
Answer:
4
Step-by-step explanation:
[tex] {3}^{2} + {x}^{2} = {5}^{2} \\ \\ 9 + {x}^{2} = 25 \\ \\ {x}^{2} = 16 \\ \\ x = 4[/tex]
rewrite each expression without using absolute value notation |x-y| if x>y
Answer: x-y
Step-by-step explanation:
If x>y, then [tex]x-y > 0[/tex].
So, [tex]|x-y|=x-y[/tex]
The solution of the expression |x-y| if x>y without using absolute value notation is (x - y).
A collection of constants, variables or numbers connected using one or more arithmetic operator is called an expression
Example = 4y, 3x+4
The absolute value of any number or expression is always positive.
An expression that is either less than or greater than is called as inequality.
Given expression, |x-y| and the given inequality is x>y.
When x is greater than y, the difference between x and y is already positive.
So, the expression will be (x-y).
So, if x > y, then |x - y| = (x - y).
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write each as the sum of two terms in the form t_n,r. t_5,3 , t_11,2 , t_15,13
The sum of two terms are:
t₅, ₃ = 8t₁₁, ₂ = 13 t₁₅,₁₃ = 28.What is the sum about?The sum of two numbers is one that tells you to find the sum of two or more numbers, and as such, you have to add the numbers altogether.
t₅, ₃ = 5 + 3
= 8
t₁₁, ₂ = 11 + 2
= 13
t₁₅,₁₃ = 15 + 13
= 28.
Hence the correct sum of two terms are:
t₅, ₃ = 8t₁₁, ₂ = 13 t₁₅,₁₃ = 28.Learn more about sum from
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Please help thank you
no links
1) in 1992, the average was credit card debt for an
american family was $3275. in 2006, the
average credit card debt for a family was $8900.
find the average rate of change of credit card
debt with respect to time.
a) 390.80
yr
b) 401.79
yr
c) 412.68
yr
d) 423.575
yr
e) 434.46
yr
The average rate of change of credit card is $ 401.79 /year.
What is Average Rate?A single rate that is a weighted average of the different rates that are applicable to property in various locations.An average is a single number calculated as the average of a set of numbers, typically calculated as the sum of the numbers divided by the total number of numbers in the set (the arithmetic mean).Solution
The difference of credit card debt between the year 2006 and 1992 = 8900 - 3275 = $5625
The difference of years between the year 2006 and 1992 = 2006 - 1992 = 14
average rate of change of credit card debt with respect to time = [tex]\frac{difference of credit card debt}{difference of years}[/tex]
average rate = [tex]\frac{5625}{14}[/tex] = $ 401.79 / year
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Nancy left a bin outside in her garden to collect rainwater. she notices that 1 over 2 gallon of water fills 2 over 3 of the bin. write and solve an expression to find the amount of water that will fill the entire bin. show your work. explain your answer in words.
[tex]\frac{3}{4}[/tex] gallons of water fill the bin.
What is an expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent norms. To help identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.Given: Nancy left a bin outside in her garden to collect rainwater.
She notices that 1 over 2 gallons of water fills 2 over 3 of the bin.
To Find: Write and solve an expression to find the amount of water that will fill the entire bin.
Let's say the amount of Water to fill the bin = W gallon
Water required to fill the [tex]\frac{2}{3}[/tex] bin = [tex]\frac{2W}{3}[/tex]Water required to fill the [tex]\frac{2}{3}[/tex] bin = [tex]\frac{1}{2}[/tex] gallonEquate both:
[tex]\frac{2W}{3} =\frac{1}{2}[/tex] is the expression to find the amount of water that will fill the entire bin.
[tex]\frac{2W}{3} =\frac{1}{2} \\2W=\frac{3}{2} \\W=\frac{3}{4}[/tex]
Therefore, [tex]\frac{3}{4}[/tex] gallons of water fill the bin.
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Look at the image below.
Find the area of the parallelogram.
Answer: 80 square units
Step-by-step explanation:
[tex]A=(8)(10)=80[/tex]
find the volume of these rctangular prisms length=6.4mm width=2.5mm hight=7mm
step by step pls
Answer:
The volume of this rectangular prism is 112mm.
Step-by-step explanation:
[tex]volume \: = \: length \times width \times height \\ v = 6.4mm \times 2.5mm \times 7mm \\ v = 112mm[/tex]
c LM on circle O has a measure of 40°.
Circle O is shown. Line segments L O and M O are radii. Sector L O M is shaded.
Which statements are true? Check all that apply.
The central angle measure created by the shaded region is 40°.
The central angle measure created by the shaded region is 20°.
The ratio of the measure of ∠LOM to the measure of the whole circle is One-ninth.
Circle O can be divided into a total of 9 sectors equal in area to sector LOM.
Circle O can be divided into a total of 10 sectors equal in area to sector LOM.
The statements that are true are;
The central angle measure created by the shaded region is 40°.
The ratio of the measure of ∠LOM to the measure of the whole circle is One-ninth.
Circle O can be divided into a total of 9 sectors equal in area to sector LOM.
What is the central angle?A central angle can be defined as an angle whose vertex is the center O of a circle and whose radii intersecting the circle in two distinct points
Note that;
The two radii are L O and MO
The measure of the angle is 40°
The sector is LOM
From the information given, it can be deduced that the 2 radii that forms the central angle is depicted by the shaded region which is said to have an angle of 40°. The sum of Circle O is one that can be shared into 9 equal sectors and that can be also equal in area to sector that is marked LOM
It can also be deduced that the circle can be divided into 9 equal sectors.
Thus, the statements that are true are;
The central angle measure created by the shaded region is 40°.
The ratio of the measure of ∠LOM to the measure of the whole circle is One-ninth.
Circle O can be divided into a total of 9 sectors equal in area to sector LOM.
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Answer: A,C,D
Step-by-step explanation:
Kate begins solving the equation StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartFraction one-half EndFraction left-parenthesis 6 x minus 4 left-parenthesis.(6x – 3) = StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartFraction one-half EndFraction left-parenthesis 6 x minus 4 left-parenthesis.(6x – 4). Her work is correct and is shown below.
StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartFraction one-half EndFraction left-parenthesis 6 x minus 4 left-parenthesis.(6x – 3) = StartFraction 2 Over 3 EndFraction left-parenthesis 6 x minus 3 right-parenthesis equals StartFraction one-half EndFraction left-parenthesis 6 x minus 4 left-parenthesis.(6x – 4)
4x – 2 = 3x – 2
When she adds 2 to both sides, the equation 4x = 3x results. Which solution will best illustrate what happens to x ?
The answer to the question isit has only one solution x = 0
How to solve for the solutionThe equation that Kate is solving is given as
2/3(6x - 3) = 1/2(6x - 4)
Then we have to factorize the equations
Such that we would have
[tex]\frac{2(6x-3)}{3} =\frac{2(3x-2)}{2}[/tex]
The next step of the equation would have to do with opening the equation
Then we would have 4x - 2 = 3x - 2
then 4x - 3x = 0
Then x = 0
Hence the solution of the equation is that it only has one solution x = 0
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Answer:
B. The equation has one solution: x = 0.
Step-by-step explanation:
Select the correct answer.
When bisecting AB using string, which step best describes what comes after securing the string at point A and then setting the string length to be a little more than half
of AB?
When you are bisecting AB using a string and you have secured the strong at point A to be more than half of AB, the next step is to C. Make an arc on AB from point A and another arc from point B .
How should AB be bisected?If you are using a string, the first step is the secure that string at point A because the string will be used for the bisecting.
After the string is secured, take the length to just a little more than half of line AB.
Once that is done, use the string to make an arc on line AB from the top to bottom.
Unsecure the string and take it to point B. Once secured in point B, repeat the process done with point A.
This would bisect the line using a string.
In conclusion, option C - Make an arc on AB from point A and another arc from point B is correct.
Options for this question include:
A. Make an arc above AB from point A and another arc on AB from point B . B. Make an arc above and below AB from point A and another arc from point B. C. Make an arc on AB from point A and another arc from point B . D. Make an arc above and below AB from point A and another arc on AB from point B.Find out more on bisecting with a string at https://brainly.com/question/13870436
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which expression is equivalent to 8x^2 square root 375x+2^3 square root 3x^7,if x =0?
The expression which is equivalent to 8x²√375x + 2³√3x^7 if x = 0 is; 0.
Which expression is equivalent to the expression given?According to the task content, the expression given is; 8x²√375x + 2³√3x^7.
On this note, it follows that when x=0 is substituted into the expression; the evaluation amounts to zero, 0.
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