Answer:
9 23/84
Step-by-step explanation:
divide then mulitply
after their soccer game, isabella and her friends eat at their favorite restaurant, the dancing meatball. when the bill comes, they divide the cost of a meatball pizza evenly among 5 people. each person pays $3.25.which equation can you use to find the cost c of the pizza?
The equation that can be used to find the cost, c, of the pizza is c/5 = $3.25.
An equation is a mathematical statement that shows that two expressions are equal. Equations use an equals sign (=) to show that the values of the expressions on either side of the sign are equal.
Equations can include variables, numbers, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the value of the variable that makes the equation true.
If they divide the cost of a meatball pizza evenly among 5 people and each person pays $3.25, then we can write the equation as
c/5 = $3.25
where c is the cost of the pizza
Plugging in the known value of p = $3.25, we get: c = 5($3.25) = $16.25.
So the cost of the meatball pizza at the Dancing Meatball is $16.25.
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The box plots show theo’s math scores and language arts scores. math 2 box plots. the number line goes from 50 to 100. for math, the whiskers range from 55 to 90, and the box ranges from 60 to 85. a line divides the box at 80. for language arts, the whiskers range from 50 to 90, and the box ranges from 60 to 80. a line divides the box at 70. language arts about 50% of theo’s scores are in which range for each subject? 60 to 85 for math; 60 to 80 for language arts 55 to 90 for math; 50 to 90 for language arts 55 to 60 for math; 50 to 60 for language arts 85 to 90 for math; 80 to 90 for language arts
Answer:The box plots for Theo’s math scores and language arts scores.
2 box plots. The number line goes from 50 to 100.
For math, the whiskers range from 55 to 90, and the box ranges from 60 to 85. A line divides the box at 80.
For language arts, the whiskers range from 50 to 90, and the box ranges from 60 to 80. A line divides the box at 70.
About 50% of Theo’s scores are in which range for each subject?
60 to 85 for math; 60 to 80 for language arts
55 to 90 for math; 50 to 90 for language arts
55 to 60 for math; 50 to 60 for language arts
85 to 90 for math; 80 to 90 for language arts
Step-by-step explanation:
the whiskers range from 55 to 90 => ( min 55 , max 90 , range = 90-55 = 45)
the box ranges from 60 to 85. => (Q₁ = 60 and Q₃ = 85)
A line divides the box at 80 => (Q₂ = Median = 80)
For language arts,
the whiskers range from 50 to 90 => ( min 50 , max 90 , range = 90-50 = 40)
the box ranges from 60 to 80. => (Q₁ = 60 and Q₃ = 80)
A line divides the box at 70. => (Q₂ = Median = 70)
50% of Theo’s scores lies between Q₁ and Q₃
Evaluate the expression 42+6⋅52−33÷32 4 2 + 6 · 5 2 - 3 3 ÷ 3 2 .
The value of the expression 42+6⋅52−33÷32 is 352.96
What is Expression?An expression is combination of variables, numbers and operators.
Remember the order of operations rules.BODMAS: parentheses first, then exponents, then multiplication, then division, then addition and subtraction is last.
= 42+6⋅52−33÷32
multiply first
= 42 + (6*52) - 33 ÷ 32
= 42 + 312 - 33 ÷ 32
division second
= 42 + 312 - 1.03125
addition next
= 354 - 1.03125
subtraction last
= 352.96875
Hence, the value of the expression 42+6⋅52−33÷32 is 352.96
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Tiana' laptop originally cot $250, but the tore offered a 20% off dicount. If Tiana alo paid alo paid 8% ale tax. What i the final place of the laptop?
Tiana' laptop originally cot $250, but the tore offered a 20% off discount, the final place of the laptop is $216.
Let the Laptops original price be $250
But he tore the offer of 20% discount, after getting a 20% discount,
(100 - 20)% x 250
= 200
Tiana then paid also a 8% tax on this price so,
= (100+8)% x 0.8(250)
=1.08 x 200
=216
So final price be ,
P = L (0.8)(1.08)
P = 250 x 0.8 x 1.08
P = $216
A tax is a mandatory financial charge or other type of levy imposed by a government organization on a taxpayer (an individual or legal entity) to cover costs associated with running the country and other public expenditures.
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Two airplane leave the ame airport. One head north, and the other head eat. After ome time, the northbound airplane ha traveled 12 mile, and the eatbound airplane ha traveled 16 mile. How far apart are the two airplane?
Find the area of the figure.
(Sides meet at right angles.)
3 cm
2 cm
2 cm
2 cm
1 cm
2 cm
2 cm
6 cm
And then what is the square centimeters?
The area of the given figure in square centimeters would be = 45cm².
How to calculate the area of the given figure?Since the instructions involves that the edges meet at a right angle, the area of the figure should be calculated using the area of a rectangle= Length×width.
The length of the figure= 2+3= 5cm
The width of the figure= 2+2+5= 9cm
Therefore the area of the figure= 9×5= 45cm²
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An automobile purchaed for $25 comma 000
i worth $2600
after 7
year. Auming that the car' value depreciated teadily from year to year, what wa it worth at the end of the third year?
The worth at the end of the third year is 15,400.
Depreciation:
The purchase value of an asset is the amount that it is purchased for. The value of the asset after a certain number of years is the difference between the purchase value and the accumulated depreciation.
There is a general formula to calculate Depreciation:
Depreciation Method = (Cost of an Asset – Residual Value)/Useful life of an Asset.
Given that Cost of an Asset=25000
Residual Value=2600
The useful life of an Asset=7
Now plug the given values in the above formula:
(25,000-2,600)/7=22,400/7=3,200
DM=3,200 which is calculated annually.
For the 3 years worth:
25,000-3,200*3
25,000-9,600=15,400.
At the end of the third year, the worth is 15,400.
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where does the dependance of experience is reflected in prior proability syntactic distinction semantic distinction both a & b none of the mentioned
The dependance on experience is reflected in the syntactic distinction between prior probability statements.
syntax refers to alphabet, while semantics refers to meaning. Syntax is the set of rules demanded to insure a judgment is grammatically correct; semantics is how one's wordbook, grammatical structure, tone, and other rudiments of a judgment coalesce to communicate its meaning. syntax is the arrangement or order of words, determined by both the pen's style and alphabet rules. consisting of or noting coinages that are combined in the same order as they would be if they were separate words in a corresponding construction The word blackberry, which consists of an adjective followed by a noun, is a syntactic emulsion.
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tabria buys a bag of cookies that contains 8 chocolate chip cookies, 8 peanut butter cookies, 5 sugar cookies and 8 oatmeal cookies. what is the probability that tabria randomly selects a peanut butter cookie from the bag, eats it, then randomly selects an oatmeal cookie? express you answer as a reduced fraction.
The probability of Tabria randomly selecting a peanut butter cookie and then an oatmeal cookie is 8/35 or 8 in 35 chance
The probability of selecting a peanut butter cookie first is 8/29, since there are 8 peanut butter cookies and 29 total cookies of all variety in the bag. Then, the probability of selecting an oatmeal cookie after eating a peanut butter cookie is 8/28, since there are now only 28 cookies remaining in the bag and 8 of them are oatmeal cookies. To find the combined probability, we multiply the individual probabilities:
8/29 × 8/28 = 8/35.
This means there is an 8 in 35 chance that Tabria will randomly select a peanut butter cookie and then an oatmeal cookie.
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To estimate the height of a building, two students find
the angle of elevation from a point (at ground level)
down the street from the building to the top of the
building is 40°. From a point that is 250 feet closer to
the building, the angle of elevation (at ground level) to
the top of the building is 46°. If we assume that the
street is level, use this information to estimate the
height of the building.
The height of the building is
feet.
When the angle of elevation from a point on the structure to its top is 40°, the building has a height to the nearest foot of 758 feet.
what is triangle ?Offered that it has sides and three vertices, a triangle qualifies as a polygon. It belongs to the fundamental geometric shapes. Triangle ABC is the term used to refer to a triangle with the endpoints A, B, and C. When the three points are not collinear, a unique rectangle and triangle in Trigonometry are discovered. Triangles are polygons because they have three sections and three corners. The points where the four sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.
given
Using the triangles OBD and OAD and the SOH CAH TOA identity
OAD in triangle
Divide the two resulting equations to obtain the value of "x" for the triangle OBD.
The building's height must then be determined to the closest foot.
Just to refresh your memory, H = xtan50 H = 636tan50
H = 636(1.1918)
H = 757.96 feet.
Consequently, the building is 758 feet tall to the nearest foot.
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How to graph f(x)=1/x
Answer: ill explain
Step-by-step explanation:
the form for linear equations are f(x) = mx+b
b is the y-intercept (otherwise known as the place where the line crossed the y-axis)
since there is no b, the y-intercept is 0. The line with cross the point (0,0)
your problem is f(x) = x/1
x/1 is equal to 1x/1.
to graph linear functions, you do rise over run (rise/run)
in this case, you rise (go up) one unit, and run (go right) one unit since your digits are 1 and 1
the sample space contains 9 as and 5 bs. what is the probablity that a randomly selected set of 3 will include 1 a and 2 bs?
The probability that a randomly selected set of 3 will include 1 a and 2 b is 45/182.
Probability
The probability is equal to the variety of possible outcomes.
For instance, there is only one way to get a head and there are a total of two possible outcomes, so the probability of flipping a coin and getting heads is 1 in 2. Writing P(heads) = 12.
the total number of outcomes that could occur.
there are total 4 types of probability,
1- Classical
2- Empirical
3- Subjective.
4- Axiomatic
There are 66 equally likely outcomes, or C(9+5,3) =C(14,3)= 364 possible outcomes.
Only C(9,1) * C(5,2)= 90 of these contain 1A and 2B. thus, the likelihood is 90/364.
The value of the solution is 90/364 or 45/182.
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Find the volume of the solid obtained by rotating the region enclosed by the graphs x=y^4 and x= y^1/4 about the y-axis over the interval [0,1].
The volume of the solid obtained by rotating the region enclosed by the graphs [tex]x=y^4[/tex] and [tex]x= y^1/4[/tex] about the y-axis over the interval [0,1] is 4π/7.
[tex]V = π ∫y^4 - y^1/4 dy[/tex]
= π ∫[tex]y^7/4 dy[/tex]
=[tex][4π/7*y^(7/4+1)]_0^1[/tex]
= [tex]4π/7[/tex]
To find the volume of the solid obtained by rotating the region enclosed by the graphs[tex]x=y^4[/tex] and [tex]x= y^1/4[/tex] about the y-axis over the interval [0,1], we first use the formula for the volume of a solid of revolution: V = π ∫[tex]y^2 - y^1/4 dy.[/tex] Then, we rewrite the upper limit of the integral as [tex]y^7/4[/tex]and evaluate the integral from 0 to 1. This gives us the volume as 4π/7.
The volume of the solid obtained by rotating the region enclosed by the graphs [tex]x=y^4[/tex] and [tex]x= y^1/4[/tex] about the y-axis over the interval [0,1] is 4π/7.
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How can 0.5 be expressed as fraction?
Step-by-step explanation:
changing 0.5 to fraction is 1/2
0.5 is equal to 1/2 as a fraction.
What is 0.5 as a fraction?Being able to quickly translate fractions between different forms, such as decimals and percentages, is a useful talent. You may learn how to change 0.5 from a decimal to a fraction by following the instructions in this guide.The first step in changing 0.5 into a fraction is to rewrite it as p/q, where p and q are both positive integers. To begin with, the fraction 0.5 might be represented as simply 0.5/1 in order to be considered one.The next thing we'll do is count how many fractional digits there are in 0.5 after the decimal point, which in this case is 1. The numerator and denominator of 0.5/1 are multiplied by 10 to the power of the number of digits after the decimal point, depending on how many digits are present. For example, we would multiply by 100 for 0.45 because it has two fractional digits, and by 1000 for 0.324 because it has three fractional digits. We will therefore in this instance multiply the numerator and denominator of 0.5/1 each by 10:0.5×10 /1×10=5 / 10
Finally, discover related factors and eliminate them to simplify the fraction, if possible:5 /1 0 = 1 /2 .
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3/5 intoconvert to decimal
Answer: 0.6
Step-by-step explanation:
3 divided by 5 is 0.6
0.6 x 5 = 3
3/5 = 0.6
you have added the fractions 2/5 and 4/10 by converting 2/5 into 4/10 so the denominators are the same. your addition has given you the total of 8/10. now what must you do?
Answer: Reduce the fraction to the simplest form.
Hope this helps :)
Step-by-step explanation:
8/10
/ 2
4/5
Roots of quadratic functions. For which value(s) of b does the function f(z) = x² + bx +1 have (a) two real roots? (b) only one real root?(c) no real roots?
The values of b for the function f(x) = x² + bx + 1 has
(a) two real roots is |b| > 2 .
(b) has only one real roots is b = ±2 .
(c) has no real roots is b < -2 or b > 2.
A Quadratic Function of the form f(x) = x² + bx + 1 has two real roots if and only if its discriminant (b² - 4ac) is positive, where a = 1, c = 1 .
So ,the discriminant can be written as ⇒ b² - 4 × 1 × 1
⇒ b² - 4.
Part (a) ; the two roots are real if and only if b² - 4 > 0,
⇒ b² > 4.
⇒ |b| > 2 .
Part (b) : function has only one real root if and only if its discriminant =0 .
⇒ b² - 4 = 0 ;
⇒ b² = 4 ;
which implies ⇒ b = ±2 .
Part (c) : function has no real root if and only if its discriminant < 0 .
⇒ b² - 4 < 0 ;
⇒ b² < 4 ;
which implies ⇒ b < -2 or b > 2.
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To find the area I times the two sides together
The area of a rectangle is calculated by multiplying its two sides together. This is because a rectangle is a shape with four straight sides, and the area of a rectangle is the amount of space inside the rectangle.
What is the rectangle ?A rectangle is a four-sided shape with four right angles and four equal sides. It is a type of quadrilateral, which means it has four sides. Rectangles are the most common type of shape and can be found in many areas of life, from art to architecture and engineering. Rectangles are sometimes referred to as geometric shapes and are used to define and measure space.
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The complete question is: How do you find an area with two sides?
Need a little help thanks :)
The measure of the angle BCD is 60 degrees.
What is the measure of angle BCD?Ok, remember that the sum of the interior angles of a triangle is always equal to 180°.
And we can write the top angle at C as:
(5x + 10) + C = 180°
C = 180 - 5x - 10
Then the sum of the interior angles gives:
3x + 3x + (180 - 5x - 10) = 180
Now we can solve that for x to get:
6x -5x - 10 = 180 - 180
x - 10 = 0
x = 10
Then the measure of BCD is:
BCD = 5x + 10
BCD = 5*10 + 10 = 60
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Find the binomial that completes the factorization. 40v3w+135w=5w 4v2–6v+9
The complete binomial expression
40v³w + 135w = 5w {(2v + 3) ((4v² - 6v +9)}
What is Cubic equation?Cubic equations are polynomials of degree3. That means the maximum degree of polynomial is three.
And the standard form of cubic equation is;
f(x) = ax³ + bx² +cx +d, where a, b, c and d are constant coefficients a ≠ 0.
Given:
An expression,
40v³w + 135w = (_) 5w(4v² - 6v +9)
To find the missing value:
Simplifying,
40v³w + 135w
= 5w (8v³ + 27)
= 5w {(2v)³ + (3)²}
= 5w {(2v + 3) ((4v² - 6v +9)}
Therefore, the missing expression is (2v + 3).
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what percent of the days did it rain in april
find the value of k for which the constant function x(t) = k is a solution of the differential equation . 4t^3 dx/dt + 2x - 2 =0
As per the differential equation, the value of k for which the constant function is 1.
The term called differential equation in math is defined as an equation which contains one or more terms and the derivatives of one variable
Here we know that the differential equation is
=> 4t³ dx/dt + 2x - 2 = 0
Here we have also know that x(t) = k is a solution of the differential equation.
Which means the t the value of x' = 0.
Then the value of 4t³ dx/dt = 0.
So, here we have rewritten the equation like the following,
=> 0 + 2x - 2 = 0
Here we know that the value of x = k, then we get the equation like the following,
=> 2k - 2 = 0
=> k = 1
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Jodie wanted to match Mandy's obstacle course record of 68.2 seconds. She had already spent forty and one fourth seconds on wall climbing and 12.84 seconds on the ropes. How much time did she have left to match the record?
12.20 seconds
15.11 seconds
53.09 seconds
55.36 seconds
Can someone please help me with this aleks question
Answer: [tex]ST=27[/tex]
Step-by-step explanation:
[tex]RU=\sqrt{29^2 -21^2}=20\\\\SU=\sqrt{52^2 -20^2} \implies ST=\sqrt{52^2 -20^2}-21 =27[/tex]
7√5-3√5 simplified fully
Answer:
4√5.
Step-by-step explanation:
Treat the surd (√5) as a variable:
7x - 3x = 4x
So, 7√5 - 3√5
= 4√5
Students in an undergraduate laboratory recorded the following counts in 1-min intervals from a radioactive source. The nominal mean decay rate of the source is 3.7 decays per minute.
Decays/min 0 1 2 3 4 5 6 7 8 9 10
Frequency of occurrences 1 9 20 24 19 11 11 0 3 1 1
a) Find the mean decay rate and its standard deviation. Compare the standard deviation to the value expected from the Poisson distribution for the mean value that you obtained.
b) Plot a histogram of the data and show Poisson curves of both the parent (the theoretical Poissonian distribution with the nominal mean decay rate) and the observed distributions.
A histogram of the data was plotted along with Poisson curves of both the parent and observed distributions.
a) The mean decay rate is 3.2 decays per minute and its standard deviation is 1.8 decays per minute. The standard deviation expected from the Poisson distribution for the mean value is 3.7 decays per minute, which is higher than the standard deviation obtained from the data.
b) The histogram and Poisson curves of both the parent and observed distributions can be seen in the figure below.
The mean decay rate of the source was found to be 3.2 decays per minute with a standard deviation of 1.8 decays per minute. The standard deviation was found to be lower than the value expected from the Poisson distribution for the mean value. A histogram of the data was plotted along with Poisson curves of both the parent and observed distributions.
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What is the average of the 3-day simply moving averages for these five days to the nearest $0.01?
The table shows the closing price of a stock over 5 days.
Check the picture below.
a stem-and-leaf diagram is constructed by separating each value of a data set into two parts. what are these parts?
A stem-and-leaf diagram separates each value of a data set into two parts: the stem and the leaf.
The stem is the first part of the number, typically the largest place value, and it is used to group similar values together. The leaves are the last part of the number, typically the smallest place value, and they provide the specific values within each group.
For example, consider a data set with the values 15, 19, 10, 11, 15. In a stem-and-leaf diagram, the stem for these values would be 1 and the leaves would be 5, 9, 0, 1, and 5, respectively.
The stem-and-leaf diagram would then look something like this:
1 | 0 1 5 5 9This format allows for a quick visualization of the distribution of the data and can be useful for identifying patterns and relationships within the data set.
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When preparing to measure the height and weight of a newly admitted patient, why would the nurse ask about the patient's ability to stand?
To determine if the patient is steady enough to stand without assistance
The nurse asks the patient about their ability to stand when preparing to measure their height and weight because it is the most accurate way to measure these physical characteristics. By asking about their ability to stand, the nurse can determine if alternative methods of measurement need to be used, and can also identify any underlying health issues that need to be addressed
When a patient is admitted to a healthcare facility, one of the first things the healthcare provider does is gather information about the patient's physical characteristics. This includes measuring the patient's height and weight.
As part of the preparation process for measuring height and weight, the nurse may ask the patient about their ability to stand. There are several reasons why this is important.
First, the most accurate way to measure height is to have the patient stand upright, with their head facing forward and their feet together. If the patient is unable to stand, the nurse may have to use alternative methods to measure height, such as a measuring tape, which may not be as accurate.
Second, standing is also the most accurate way to measure weight. If the patient is unable to stand, the nurse may have to use a bed scale, which may not provide an accurate measurement of the patient's weight.
Finally, asking the patient about their ability to stand helps the nurse to determine if there are any underlying health issues that need to be addressed. For example, if the patient is unable to stand, it may indicate that they have a mobility issue that needs to be addressed.
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A um of money wa wa divided between Mary and Donal. Mary fot 5/8 of the money and Donal got the ret. If Donal got 2. 40 how much did mary get
The amount of money received by Mary based on the mentioned information is 4.
Let the total amount of money be x. So, the amount received by Mary = 5/8x. The amount received by Donal = x - 5/8x
Performing subtraction on Right Hand Side of the equation
The amount received by Donal = (8x - 5x)/8
The amount received by Donal = 3x/8
Now, the amount received by Donal is 2.40. Size equating the two values -
3x/8 = 2.40
3x = 2.40 × 8
Performing multiplication on Right Hand Side of the equation
3x = 19.2
x = 19.2/3
Performing division on Right Hand Side of the equation
x = 6.4
Amount received by Mary = 5×6.4/8
Performing multiplication
Amount received by Mary = 32/8
Performing division
Amount received by Mary = 4
Thus, Mary received 4.
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