Answer:
1.05 dollars per popsicle
Step-by-step explanation:
x is the price per popsicle. In order for you to make 6 dollars of profit, each box is going to cost 10.50 dollars because 4.50 is your amount of expenses.
Profie= revenue-expenses
6= revenue-4.5
revenue=10.5
If you charge 10.5 per box, and each box has 10 popsicles, then one popsicle is 10.5/10=1.05 dollars per popsicle.
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?
m - 4 = -7m - 8
-8 - 3m = 4 - m
-3m - 8 = 4 - m
-15m = -4m
-7m - 8 = m - 4
-8 - 7m = -4 + m
You can have multiple answers
The equation equivalent to -2m - 5m - 8 = 3 + (-7) + m is
-7m - 8 = m - 4. Option E
This is further explained below.
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?Generally, the equations equivalence is mathematically given as
-2m - 5m - 8 = 3 + (-7) + m
Therefore
-7m - 8 = 3 + (-7) + m
When we write the equation such that the variable appears on the right-hand side first, we get the following:
-7m - 8 = m - 4
In conclusion, The equation equivalent to -2m - 5m - 8 = 3 + (-7) + m is
-7m - 8 = m - 4.
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Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 19 of the 59 boxes on the shelf have the secret decoder ring. The other 40 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that both of them have the secret decoder ring?
The probability that both of the boxes one would select had the decoder ring is 9.9%.
Given, the store manger gives the surety that 19 out of 59 boxes on the shelf have the secret decoder ring.
The boxes on the shelf which have a different gift inside is = 40 boxes.
If one randomly selects two boxes from the shelf to purchase, the probability that both of them have the secret decoder ring = ?
You can imagine that someone used invisible link to label each box with a number, and knows that boxes number 1 through 19 have decoder rings, while boxes number 20 through 59 have other gifts.
There are 59×58/2
= 3422/2
= 1711 possible sets of two boxes that one could select, but there are only 19 × 19/2
= 342/2
= 171 possible sets of two boxes with decoder rings.
The fraction of possible pairs of boxes where both boxes have the secret decoder ring is:
= 171/1711
= 0.099 = 9.9%
Hence there is 9.9% probability that both of the boxes one might select had a decoder ring.
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(z^1)^2
Its Khan Academy I need help ASAP.
A phone company has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 410410 minutes, the monthly cost will be \$71.50$71.50. If the customer uses 720720 minutes, the monthly cost will be \$118.00$118.00. Use your equation to find the total monthly cost if 687687 minutes are used.
The required cost is $ 101.22.
This problem can be solved by unitary method.
Given that monthly cost of customer if he uses 410 minutes is $71.
So, cost per minute = [tex]\frac{71}{410}[/tex]
=$ 0.17
And if the customer uses 720 minutes then the cost is $118.
So, cost per minute is = [tex]\frac{118}{720}[/tex]
=0.16
Now if he uses 687 minutes then for 410 minutes cost incurred will be
= 410 × 0.17
= $ 69.7
And for next 197 minutes cost incurred will be = 197 × 0.16
= $ 31.52
Total cost for 687 minutes = $(69.7 + 31.52)
= $ 101.22
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please help, Solve K-PRT for R.
Answer:
r = [tex]\frac{k}{pt}[/tex]
Step-by-step explanation:
I think that you mean
K = PRT Divide both sides by pr
[tex]\frac{k}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex] On the right sides the pr's on the top and bottom cancel each other out and you are left with
r = [tex]\frac{k}{pr}[/tex]
A bowl filled with lollipops is 3/4 full. 2/3 of these lollipops are green. What fraction of the full bowl are the green lollipops?
Answer:
1/12
Step-by-step explanation:
All you need to do is subtract 3/4 by 2/3, the difference of those two numbers is 1/12.
A town's employment statistics show that 855 of its residents were unemployed last month. This is a decrease of 25% from the previous month. How many residents were unemployed in the previous month?
determine the range of the following graph. PLEASE HELP MEEE
Answer:
-5 ≤ y ≤ 5
Step-by-step explanation:
Hello!
The range is the set of y-values that the graph passes through.
Since the endpoints of the graph are filled in, meaning they include the values they end on, we use the ≥ or ≤ symbols to write the inequality for the range.
The minimum y-value is -5, and the maximum y-value is 5.
The inequality for the range would be -5 ≤ y ≤ 5.
Which linear equation represents the information shown in the table?
x y
–6 –1
0 0
12 2
Question 21 options:
y = –1/4x
y = 6x
y = 1/6x
y = –2x
Answer:
Only one equation fits all the information on the table which is:
y = 1/6x
Answer:
y = 1/6x
Step-by-step explanation:
To find the equation, let's see if each option works by plugging in x into each equation.
y = –1/4x
Plug -6 into x
y = –1/4(-6)
y = 1.5
y = –1/4x doesn't work because we didn't get -1.
y = 6x
Plug -6 into x
y = 6(-6)
y = -36
y = 6x doesn't work because we didn't get -1.
y = 1/6x
Plug 1/6x into x
y = 1/6(-6)
y = -1
Let's see if the other x values work.
Plug 0 into x
y = 1/6(0)
y = 0
Plug 12 into x
y = 1/6(12)
y = 2
y = 1/6x works.
y = –2x
Plug -6 into x
y = –2(-6)
y = 12
y = -2x doesn't work because we didn't get -1.
y = 1/6x is the only linear equation that worked and got all y values, so that is your answer.
Hope that helped and have a lovely rest of your day!
7. Alicia and Dexter are each walking on a straight path. For a particular -second window of time, each has their velocity (in feet per second) measured and recorded as a function of time. Their respective velocity functions are plotted in .
Figure 1.4.14. The velocity functions and for Alicia and Damon, respectively.
Determine formulas for both and .
What is the value and meaning of the slope of ? Write a complete sentence to explain and be sure to include units in your response.
What is the value and meaning of the average rate of change of on the interval ? Write a complete sentence to explain and be sure to include units in your response.
Is there ever a time when Alicia and Damon are walking at the same velocity? If yes, determine both the time and velocity; if not, explain why.
Is is possible to determine if there is ever a time when Alicia and Damon are located at the same place on the path? If yes, determine the time and location; if not, explain why not enough information is provided.
(a) The formula for velocity functions is:
f(t)=0.4t+4
g(t)=0.9t
(b) The slope of the v-t graph gives us the acceleration which as found above is 0.4 ft/sec². The slope of the v-t graph gives us the acceleration which as found above is 0.9 ft/sec².
(c) Damon is accelerating with 0.9 ft/sec² in intervals [4,8].
(d) Both are walking at a velocity of 7.2 ft/sec at t=8 sec.
What is velocity?
The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.(a) For Alicia,
m=(Δv/Δt)=(8-4)/(10-0)=4/10=0.4
f(t)=0.4t+4
for Damon,
m=(Δv/Δt)=(9-0)/(10-0)=9/10=0.9
g(t)=0.9t
The formula for velocity functions is:
f(t)=0.4t+4
g(t)=0.9t
(b) Value and meaning of the slope is
m for Alicia =0.4
Slope is determined (Δv/Δt)=(8-4)/(10-0)=4/10=0.4 ft/sec².
So, the slope of the v-t graph gives us the acceleration which as found above is 0.4 ft/sec².
m for Damon=0.9
Slope is determined (Δv/Δt)=(9-0)/(10-0)=9/10=0.9 ft/sec².
So, the slope of the v-t graph gives us the acceleration which as found above is 0.9 ft/sec².
(c) Value and meaning of the average rate of change on the interval:
the average rate of change of Δ on the interval [4,8] =
[tex]\frac{Velocity\ at\ 8\ sec - Velocity\ at\ 4\ sec}{Time\ interval\ (8-4)\ sec}[/tex]
=(7.2-3.6)/(8-4)=(3.6/4)=0.9 ft/sec²
So, Damon is accelerating with 0.9 ft/sec² in intervals [4,8].
(d) Let both are walking with the same velocity at t sec.
So, Let's equate their velocities
0.4t+4=0.9t
t=4/0.5 = 8 sec
The velocity of Alicia at 8 sec = 0.4(8)+4 = 7.2 ft/sec
The velocity of Damon at 8 sec = 0.9(8) = 7.2 ft/sec
So, both are walking at a velocity of 7.2 ft/sec at t=8 sec.
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Translate the sentence into an equation.
Nine more than the product of a number and 6 is equal to 4.
Use the variable x for the unknown number.
Answer:
(6x) + 9 = 4
Step-by-step explanation:
Times means 'The answer when you multiply' So we are working in multiplication. ( x )
6x is the multiplication.
It says 'more than' which means adding to our answer. So we add 9. So far our equation is: (6x) + 9 (Brackets are needed as we are multiplying 6 by x and not multiplying 6 by x+9)
Lastly, it says the answer must be 4 so we add that at the end. So the answer is:
(6x) + 9 = 4
please help me with this
the correct option is the first one (counting from the top).
The true statement is:
"The leading coefficients of f(x) and g(x) are opposites"
Which statement is true?We know that f(x) and g(x) are quadratic functions, and the sum of these two functions is shown in the graph.
We can see that the sum gives a linear graph, so the terms with the exponents of 2 are cancelled by the sum.
This only can happen if f(x) and g(x) have opposite (same absolute value but different sign) leading coefficients, so the quadratic terms are cancelled when we add the functions.
For example in f(x) = 2*x^2 + 3x + 4
g(x) = -2x + x + 13
If we add these two functions, we would end with a line.
With that in mind we can conclude that the correct option is the first one (counting from the top).
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What’s the answer?
5x + 12(19 - x) = 19(1678)
What are Conic Sections and how are they formed?
Answer:
In mathematics, a conic section is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though historically it was sometimes called a fourth type.
Conic sections are formed on a plane when that plane slices through the edge of one or both of a pair of right circular cones stacked tip to tip.
every year from 2002 to 2014 either joey chestnut of california or takeri kobayashi of japan won the contest. in the five of those years both men completed and the results od the rivalry are shown in the table below. ( after the tie in 2008 joey chestnut won in aan overtime) because the condition of the year natter this is a matched pairs situation witht he twi men going against each year. in a matched pair situation we ise the summary statistica of difference between paris of values
What is the solution to this equation?
x+ 14 = -6
OA. x= -8
OB. x=-20
OC. X = 20
OD. x=8
How do I solve this problem?
On Friday, 4/7 of Parkden School chose pasta for lunch, 1/5 chose pizza and the rest chose salad. What fraction of the pupils chose salad?
Answer:
i think is 7/12
because if 4/7 chose pasta,1/5 chose pizza then we add 7+5=12 then we sudstract 12-4-1 = 7.
hope that helps
SO
129193ni-algmiz srit of
Kings Park Bank is advertising a special 1.66% APR for CDs. Kevin takes out a one-year CD
$24,000. The interest is compounded daily. Find the APY for Kevin's account.
wh
Sissy ono to brie ed is thus torni aver verdha lliw roum woh
5.00%
APY for Kevin's account = 1.67%
The interest on a loan or deposit that is computed based on both the original principle and the accumulated interest from prior periods is known as compound interest (also known as compounding interest). Compared to simple interest, which is computed just on the principal amount, it will cause a sum to increase more quickly.
The frequency of compounding determines the pace at which compound interest accumulates. The compound interest increases with the number of compounding periods.
APY = [tex](1 + \frac{r}{n})^{n} - 1[/tex] = [tex](1 + \frac{1.667}{365})^{365} - 1[/tex] = 1.0167 - 1 = 0.0167
APY = 1.67%
Therefore, APY for Kevin's account = 1.67%
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If x > 3,, which of the following is equivalent to
1
1
1
+
x+ 2 x+3
?
I
If (x > 3), then the simplified form of the expression [tex][\frac{1}{(\frac{1}{x+2})+(\frac{1}{x+3})}][/tex] will be equivalent to [tex][\frac{x^{2}+5x+6 }{2x+5}][/tex].
As per the question statement, we are provided with a mathematical expression in the form of a fraction which goes as [tex][\frac{1}{(\frac{1}{x+2})+(\frac{1}{x+3})}][/tex].
We are required to calculate an equivalent simplified form of the above mentioned expression.
To solve this question, we simply have to add the fractions in the denominator part and then perform a reciprocal of the overall fraction, and simplify it further in that format only, to obtain our final desired answer. The process is shown below as:
[tex][\frac{1}{(\frac{1}{x+2})+(\frac{1}{x+3})}]\\=\frac{1}{\frac{(x+3)+(x+2)}{(x+2)(x+3)} } \\=\frac{1}{\frac{(2x+5)}{(x+2)(x+3)} }\\=\frac{(x+2)(x+3)}{(2x+5)} \\=\frac{x^{2}+3x+2x+6 }{2x+5} \\=\frac{x^{2}+5x+6 }{2x+5}[/tex]
Hence, If (x > 3), then the simplified form of the expression [tex][\frac{1}{(\frac{1}{x+2})+(\frac{1}{x+3})}][/tex] will be equivalent to [tex][\frac{x^{2}+5x+6 }{2x+5}][/tex].
Expression: In Mathematics, expressions are mathematical statements that have at least two terms, comprising of numbers or variables, or both, and being connected by an operator in between.To learn more about Expressions, click on the link below.
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How many times smaller is 5×10-7 than 8.5×10-4
Answer:
Approximately 1.86 times smaller
Step-by-step explanation:
5×10-7 = (5×10=50) = 50-7 = 43
8.5×10-4 = (8.5×10=84) = 84- 4 = 80
80/43 = approximately 1.86
43×1.86 = approximately 80
80/1.86 = approximately 43
What is the fractional equivalent of the repeating decimal _
0.5
Answer:
B. 5/9
Step-by-step explanation:
You can just divide 5 and 9 and you get the repeating decimal
Evaluate 4xy for x=1, and y=2
Help please asap i need it
Kenna has a 80.3 foot length of pipe to cut into pieces. Each piece must be 9.4 feet long. How many pieces of this length can Kenna get from this one length of pipe?
Step-by-step explanation:
80.3÷9.4
80/3÷9/4
80/3×4/9
26.6×4/9
=17.733
This means that Kenna will get 18 pieces from one lenght of pipe
negative 19 plus the quantity negative 4 and five tenths plus 6 and 87 hundredths end quantity divided by 3 all times 5 squared minus 7 and 3 tenths
19.6
−18.4
31.45
−6.55
Answer: 19.6
Step-by-step explanation:
Help don’t understand question
Please answer quick!
Answer:
-67
Step-by-step explanation:
[tex]x=-20 \implies x<-12 \\ \\ \therefore f(-20)=3(-20)-7=-67[/tex]
Which equation best represents the graph shown below? Explain in detail how you arrived at your answer by stating each of the mathematical transformations necessary to produce the graph.
please I need help
In the graph we have a parabola, and its equation is y = (x - 2)^2 - 3
How to find the equation of the graphed function?
In the graph, we can see a parabola.
We only need to identify 3 parts, which are the two x-intercepts (if it has) and the y-intercept.
Remember that if the vertex and the y-intercept. Remember that if the vertex is (h, k) and the leading coefficient is a, then we can write the equation as:
y = a*(x - h)^2 + k
In the image we can see that the vertex is (2, -3), then:
y = a*(x - 2)^2 - 3
And the y-intercept is y = 1, then if we evaluate in x = 0 we should get y = 1, replacing that we get:
1 = a*(0 - 2)^2 - 3
1 = a*4 - 3
1 + 3 = a*4
4/4 = a = 1
Then the quadratic equation is y = (x - 2)^2 - 3
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Is there a difference between [tex]-\frac{x}{y}[/tex] and [tex]\frac{-x}{-y}[/tex] ?
Do they mean different things?
There is a difference between the expressions -x/y and -x/-y
How to determine if there is a difference between the expression?The expressions are given as:
-x/y and -x/-y
When the expression -x/-y is evaluated, we have:
-x/-y = x/y
This means that
-x/y = -x/y
-x/-y = x/y
When the above expressions are compared, we can see that both expressions are not equal
Hence, there is a difference between the expressions -x/y and -x/-y
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PLEASE SOLVE THIS FOR ME. I ONLY KNOW THAT THE ANSWER WILL HAVE AN X IN IT
Answer: [tex]\boxed{\sqrt{12x-1}}[/tex]
Step-by-step explanation:
[tex]\sqrt{2(6x-3)+5}\\ \\\sqrt{(12x-6)+5} \\\\\boxed{\sqrt{12x-1}} \\\\This\ is\ as\ far\ as\ you\ can\ simplify\ this[/tex]
