The money was spent on a pass and lunch for each student will be $27.66.
How to illustrate the expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The school is arranging a field trip to the zoo. The school spends 755.16 dollars on passes for 40 students and 2 teachers. The pass for each person will be:
= $755.16 / 42
= $$17.98
The school also spends 387.20 dollars on lunch for just the students. The amount for Howavh students will be:
= $387.20 / 40
= $9.68
The money was spent on a pass and lunch for each student will be:
= $9.68 + $17.98
= $27.66
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A school dance club is selling bottled water at a football game to raise
funds. The club has raised $26 so far and has the goal of raising $100.
If each bottle of water earns the club an additional $2, which equation can
be used to find the number of bottles of water w that the club needs to sell
to reach their goal?
Step-by-step explanation:
A school dance club is selling bottled water at a football game to raise funds. The club has raised $26 so far and has the goal of raising $100. If each bottle of water earns the club an additional $2, which equation can be used to find the number of bottles of water w that the club needs to sell to reach their goal?
equation:
100 = 2w - 26
solving:
100 = 2w - 26
74 = 2w
w = 37 more bottles
What's the slope of the line connecting (-3, -6) and (-6, -8)? (You may enter your answer as a fraction. Otherwise, round
your answer to 2 decimal places.)
Answer:
Two-thirds
Step-by-step explanation:
slope is
∆y/∆x = (y2-y1) divided by (x2-x1)
= (-8-(-6)) divided by (-6-(-3))
= -2 divided by -3
= 2/3
The graph of the parent function f(x) = x3 is transformed such that g(x) = f(-2x³). How does the graph of g(x) compare
to the graph of f(x)?
The transformation from the parent function are (a) g(x) is horizontally stretch by 1/2 and reflected across the y-axis
How to describe the transformation from the parent function?From the question, we have the following function that can be used in our computation:
f(x) = x³
g(x) = (-2x)³
First, we have the transformation to be:
From f(x) = x³ to f'(x) = (−x)³
This means the function is reflected across the y-axis
So, we have the following representation
f'(x) = f(-x)
Next, we have:
From f'(x) = (−x)³ to g(x) = (−2x)³
This means the function is horizontally stretched by a factor of 1/2
Hence, the transformation is reflection across the y-axis and horizontally stretch by 1/2
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A 30" stainless steel smooth-top electric range is on
sale for $479.99, a savings of 20% off the regular price. Find the
regular price.
$600 is the regular price of the stainless steel
How to determine the regular price?Percentage simply means the number or ratio that can be expressed as a fraction of 100. In this case, when we have to calculate percent of a number, we then divide the number by the whole and multiply by 100.
Given: Sales price with discount = $479.99, savings = 20% off. This implies there is a 20% discount.
Let P represent the regular price. Thus, we can write:
P - (20% of P) = $479.99
P - 0.2P = 479.99
0.8P = 479.99
P = 479.99 / 0.8
P = $599.9875 ≈ $600
Thus, the regular price of the stainless steel is $600
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Write an inequality that represents the solutions on the number lines below.
Answer:
just use the number line
-3<x<4
and
x<3
Given AB CD , what is the m∠ x and m∠ y in this diagram?
Justify your answer using geometry vocabulary.
Answer:
m∠ x is 130° and m∠ y is 130°
Step-by-step explanation:
Based on the drawn example I gave would explain why
So because ∠AGF = ∠CHF that would make these two angles Corresponding angles and corresponding angles are congruent
Thus making ∠AGH or m∠ x equals 130°
Now we look at ∠DHE and ∠AGF these two angles would be classified as Alternate interior angles which would make them congruent to each other aswell
Thus making ∠DHG or m∠ y equals 130°
Reason also includes the fact that m∠ x and m∠ y would be alternate interior angles also
(a) find the area of r. (b) region r is the base of a solid. for the solid, each cross section perpendicular to the x-axis is a square. write, but do not evaluate, an expression involving one or more integrals that gives the volume of the solid. (c) the horizontal line y k divides r into two regions of equal area. write, but do not solve, an equation involving one or more integrals whose solution gives the value of k
The area of region R is given by the integral ∫[0,5] (x^2+2) dx = 41.6667,The volume of the solid is given by the integral ∫[0,5] (x^2+2)^2 dx and the equation to find the value of k is given by the equation ∫[0,k] (x^2+2) dx = ∫[k,5] (x^2+2) dx.
a) We must integrate the function (x2+2) over the range [0,5] in order to determine the area of region R. The ensuing integral provides this information:
∫[0,5] (x^2+2) dx = 41.6667
b) To get the solid's volume, we must integrate the function (x2+2)2 over the range [0,5]. The ensuing integral provides this information:
∫[0,5] (x^2+2)^2 dx \sc) We must construct an equation that asserts that the area of the region below the line y=k is equal to the area of the region above the line y=k in order to get the value of k. The following equation yields this:
∫[0,k] (x^2+2) dx = (x2 + x2)[k,5] dx
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Determine if the solution is rational or irrational.
√8+ √8
Rational
Irrational
Answer:
Irrational
Step-by-step explanation:
[tex]\sqrt{8} =\sqrt{4 \cdot 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2}[/tex] and this is irrational
So [tex]\sqrt{8} + \sqrt{8} = 2\sqrt{8} = 2 \cdot 2\sqrt{2} = 4\sqrt{2}[/tex] which is irrational
(adding an irrational number to anything gives an irrational number)
Use the values log 128≈ 2.1 and log 4≈ 0.6 to find the approximate value of log4 128.
log, 128
The solution is
The approximate value of [tex]log_4128[/tex] is 3.5.
What is logarithm?
The opposite of exponentiation in mathematics is the logarithm. The exponent to which b must be raised in order to produce a number x is therefore the logarithm of a number x to the base b. For instance, since 1000 = 10^3, log10 of 1000 is 3, or log10 = 3.
Given: log 128≈ 2.1 and log 4≈ 0.6
We have to find the approximate value of [tex]log_4128[/tex].
We know that,
[tex]log_ba = \frac{loga}{logb}[/tex]
Here,
[tex]log_4128 = \frac{log128}{log4}[/tex]
Plug the values of log 128 and log 4
⇒ [tex]log_4128 = \frac{log128}{log4} = \frac{2.1}{0.6} = 3.5[/tex]
Hence, the approximate value of [tex]log_4128[/tex] is 3.5.
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Find 10(-3)(4) - (-15)
The expression is simplified to -105
What is an integer?An integer can be defined as a whole number, with no fractional or decimal form which can be positive, negative or zero.
Negative integer values are the additive inverses of their corresponding positive numbers.
Integers are a collection of whole numbers and negative values.
The types of integers are;
Positive integersNegative integersZeroFrom the information given, we have;
10(-3)(4) - (-15)
expand the bracket
10(-12) - ( -15)
expand further
-120 + 15
Add the values
-105
Hence, the value is -105
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you want to use the summarize() and mean() functions to find the mean rating for your data. add the code chunk that lets you find the mean value for the variable rating. 1 reset what is the mean rating? 1 point 4.230765 3.995445 3.185933 4.701337
You want to use the summarize() and mean() functions to find the mean rating for your data. add the code chunk that lets you find the mean value for the variable rating. 1 reset. the mean rating is 3.185933
How to find the mean rating?To determine the mean value for the variable Rating, you must add the code snippet summarize(mean(Rating)). Trimmed flavors df%>% summarize(mean(Rating)) is the right code. In this section of code:
You can display summary statistics using the summarize() method. To generate specific statistics, you can combine the summarize() method with others like mean(), sd(), and max().
In this instance, you compute the mean value for the variable Rating using the mean() function.
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One angle measures 130°, and another angle measures (8k + 58)°. If the angles are vertical angles, determine the value of k.
Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure, the value of k is 9.
How to find value of k ?Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure. They are formed when two lines intersect, and they are always congruent, or equal in measure.
That if one angle measures 130°, the measure of its vertical angle must also be 130°.
If the other angle has a measure of (8k + 58)°, and it is a vertical angle to the angle that measures 130°, then it must also have a measure of 130°.
We can set up the equation 130 = 8k + 58 and solve for k to find the value of k.
Subtracting 58 from both sides gives us 72 = 8k. Dividing both sides by 8 gives us k = 9.
Therefore, the value of k is 9.
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if you want to know the probability that it is a defective bolt (event c), which formula would you use?
The given probability is based on conditions of two events, hence it is called as conditional probability and it's formula according to the events is option.a [tex]p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}[/tex]
Bayes' rule is a mathematical theorem that allows you to modify probability statements in response to new information. With this rule, you can reverse the conditional probability statement and find the probability of the first event occurring given the probability of the second event occurring by using the probability of the second event occurring given the probability of the first event occurring.The first event in this case is that the bolt is defective (event C). The second occurrence is that it was selected from the first machine (event A). As a result, given that the bolt is from the first machine, we can state the conditional probability that it is defective.
Hence, the formula is [tex]p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}[/tex].
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Your question is incomplete , here is the complete question
In a factory that manufactures bolts, the first machine manufactures 70% of the bolts and a second machine manufactures the remaining 20%. The percentage of defective bolts is 3% and 5%, respectively.An employee picks a bolt off a shelf at random and it is from the first machine (event A).If you want to know the probability that it is a defective bolt (event C), which formula would you use?
[tex]a.\ p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}\\\\b.\ p(\frac{A}{C})=\frac{p(\frac{A}{C}).p(A)}{p(C)}\\\\c.\ p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(A)}{p(C)}\\\\d.\ p(\frac{A}{C})=\frac{p(\frac{C}{A}).p(A)}{p(C)}[/tex]
Rewrite the equation
Find the value of x in the figure:
Step-by-step explanation:
the points D and E are the midpoints of AB and AC.
ED connects these midpoints and is therefore half of CB.
ED = CB/2
x + 1 = (4x - 6)/2 = 2x - 3
1 = x - 3
x = 4
I understand A and B but I do not understand what they are asking for C. I have no idea what the answer is, please help! Thanks
Mike sells grapes at a farmers market. Each pound of grapes sells for the same amount. The table below shows the total prices for different numbers of pounds of grapes sold.
Grapes
Number of Pounds Sold Total Price ($)
2 $4.50
4 $9.00
10 $22.50
A. Write an equation that describes the relationship between the number of pounds of grapes sold(x) and the total price (y), in dollars.
Mike also sells red peppers at the farmers market. The equation below can be used to find the total price (p) in dollars of r pounds of red peppers.
p = 1.80r
B. What is the total price, in dollars, of 17 pounds of red peppers? Explain what the 1.80 represents in the context of the situation.
The farmer decides to increase the price per pound of the grapes. A graph is created to represent both the original equation from Part A and a new equation based on the increased price per pound of the grapes.
C. Thinking about what this graph would look like, explain why the graphs representing the equations will share one point even though the prices per pound are different.
A. The relationship between the number of pounds of grapes sold (x) and the total price (y) can be described by the equation y = 2.25x.
The required details for pounds in given paragraph
This equation can be derived from the data in the table by substituting the values for x and y and solving for the coefficient 2.25. For example, for x = 2 pounds of grapes, we have y = $4.50, so 4.50 = 2.25 * 2. Similarly, for x = 4 pounds of grapes, we have y = $9.00, so 9.00 = 2.25 * 4. We can use this equation to find the total price for any number of pounds of grapes sold.
B. The total price of 17 pounds of red peppers is $31.60. The 1.80 in the equation p = 1.80r represents the price per pound of red peppers. In this case, 1.80 dollars is the price per pound of red peppers, and r is the number of pounds of red peppers that are being purchased. Therefore, the total price of r pounds of red peppers is equal to 1.80 dollars per pound multiplied by the number of pounds of red peppers being purchased.
C. The graphs representing the equations for the original and increased price per pound of grapes will share one point because the two equations will be tangent to each other at that point.
what is pound?
A pound is a unit of weight that is commonly used in the United States and some other parts of the world. It is defined as the weight of a standard reference object, called the international pound, which is kept at the International Bureau of Weights and Measures in France.
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What is the order from least to greatest of the following: 0.7, −0.2, 2.2, and −2.3?
−2.3, −0.2, 0.7, 2.2
2.2, 0.7, −0.2, −2.3
−0.2, 2.2, 0.7, −2.3
0.7, −0.2, −2.3, 2.2
The order from least to greatest is −2.3, −0.2, 0.7, 2.2. The correct option is A.
What is an ascending order?When numbers are arranged in ascending order, they are done so from smallest to largest. We must first compare the numbers before we can arrange them in any order. Compare first, then order. Numbers are arranged in ascending order.
Given that the numbers are 0.7, −0.2, 2.2, and −2.3. The numbers in ascending order will be arranged as,
0.7, −0.2, 2.2, −2.3
-2.3 > -0.2 > 0.7 > 2.2
Hence, the ascending order of the given data is -2.3 > -0.2 > 0.7 > 2.2.
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Solve the inequality. Enter the answer as an inequality that shows the value of
the variable; for example f> 7, or 6 < w. Where necessary, use <= to write <
and use >= to write 2.
v-(-5) <-9
Solve the inequality. v - (-5) < -9 the solution for the inequality is
v < -14What is inequality?Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
How to solve the inequalityThe given algebraic expression is v - (-5) < -9
This is solved as follows
v - (-5) < -9
v + 5 < -9
v < -9 - 5
v < -14
The value of v is -14
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At one gas station, gas costs $2.75 per gallon. Write an equations that related the total cost. c, to the number of the gallons of gas purchase,g.
The equation that related the total cost. c, to the number of the gallons of gas purchase is c = 2.75g
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. The equal (=) operator is always used to join two mathematical expressions in an equation.
In mathematics, an equation is a relationship between two expressions that is expressed as an equality on either side of the equal to sign. An equation would be 3y = 16, for instance.
In this situation, the gas costs $2.75 per gallon.
Therefore, the equation that related the total cost. c, to the number of the gallons of gas purchase,g will be:
c = 2.75 × g
c = 2.75g
c = cost
g = total gallon of gas
The equation is c = 2.75g
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Find the zero of the function f(x)= 4x+8
Answer:
x = -2
Step-by-step explanation:
Solve for x:
4 x + 8 = 0
Subtract 8 from both sides:
4 x + (8 - 8) = -8
8 - 8 = 0:
4 x = -8
Divide both sides of 4 x = -8 by 4:
(4 x)/4 = (-8)/4
4/4 = 1:
x = (-8)/4
8/4 = (4×2)/4 = 2:
Answer: x = -2
Answer:
The zero of the function is at x = -2
Step-by-step explanation:
(co 3) what is the term that describes the data that defines and characterizes other data within an electronic system?
An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.
By enabling appropriate access to and secure electronic sharing of a patient's critical medical information, the electronic health information exchange (HIE) helps to increase the efficiency, effectiveness, safety, and affordability of patient care.
The "blueprint" of a database, or how the data may link to other tables or other data models, is known as a database schema. The schema does not, however, actually hold any information. A database instance is a sample of data from a database at a specific point in time.
An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.
Microsoft uses a document format called DOC. A document called a DOC file includes formatted text, graphics, tables, graphs, and charts, among other things.
Data that can be entered in free text style is referred to as unstructured data. Structured data is a type of data that includes check boxes, graphics, tables, and other options that the user can select from.
Since the DOC system uses free text, the EHR's data is structured.
Therefore,
An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.
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Find the area and the perimeter of rectangle with a length of 8 feet and a width of 6 2/9 feet. Write each answer as a fraction and a decimal. Use bar notation if necessary.
Answer:
Step-by-step explanation:
Which of these expressions equal 15 when x = and y = 3?
*There is more than correct answer.
ry+3+201
4 (2y-4r) -1
04r²+2y-10
04 (2²+1) + 2x + 3y
0-14r2
The given are the expressions that are equivalent to 15 for [x] = 1/2 and [y] = 3 :
4(2y - 4x) - 1 4(x² + 1) + 2x + 3yxy + 3[tex]\frac{1}{2}[/tex] + 20xWhat is expression in mathematics?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
Given are the expressions as shown in the image attached.
Let us check the expressions for an equivalent value of 15.
Expression [1] :
4(2y - 4x) - 1
4(2 x 3 - 4 x 1/2) - 1
4(6 - 2) - 1
4 x 4 - 1
16 - 1
15
Expression [2] :
4(x² + 1) + 2x + 3y
4(1/4 + 1) + 2 x (1/2) + 3 x 3
4(5/4) + 1 + 9
5 + 10
15
Expression [3] :
xy + 3[tex]\frac{1}{2}[/tex] + 20x
1/2 x 3 + 7/2 + 20 x 1/2
3/2 + 7/2 + 10
1.5 + 3.5 + 10
15
Therefore, the expressions that are equivalent to 15 when [x] = 1/2 and [y] = 3 are
4(2y - 4x) - 1 4(x² + 1) + 2x + 3yxy + 3[tex]\frac{1}{2}[/tex] + 20xTo solve more questions on functions and expressions, visit the link -
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Find an equation that fits this question please
Answer:x-25=y
Step-by-step explanation:
u just subtract and put it into equation form
Question
Solve for x.
3/5(x−7/10)=−314
Enter your answer as a mixed number in simplest form in the box.
x =
Answer:
x = -522 19/30
Step-by-step explanation:
To solve for x, distribute the 3/5. This gives us 3/5x - 21/50 = -314. Add over 21/50 to the other side, allowing for 3/5x to equal -313 29/50. Divide by 3/5 on both sides and we get x equal to -522 19/30. This is the final answer as a mixed number and is also in simplest form.
What value of x makes this equation true?
12x -15 = 6 -3x
Answer:
1.4
Step-by-step explanation:
12x-15=6-3x
+3x +3x
15x-15=6
+15 +15
15x=21
/15. /15
x=1.4
hopes this helps
Answer:
1.4
Step-by-step explanation:
12x-15+3x=6
15x-15=6
15x=6+15
15x=21
x=21:15
x=1.4
A fair spinner has 9 equal sections: 4 red, 3
blue and 2 green.
It is spun twice.
What is the probability of getting the same
colour twice?
the probability to get two consecutive reds will be 19.75%.
What is probability?
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
A fair spinner has 9 equal sections: 4 red, 3 blue and 2 green.
The probability of not getting two consecutive red is 1 minus the probability of getting two consecutive greens. Since the spinner is fair, the probability of getting a green on any one spin is 4/9
Since consecutive spins are independent, the probability of getting two consecutive red is (4/9)² = 16/81= 19.75%
Hence the probability to get two consecutive reds will be 19.75%.
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A bag contains four red cards numbered 1 through 4, four white cards numbered 1 through 4, and four black cards numbered 1
hrough 4. You choose a card at random.
The number of possible outcomes in the sample space is
Answer:
64 possible outcomes
Step-by-step explanation:
Since the bag contains four red cards, four white cards, and four black cards, each with a unique number from 1 to 4, there are a total of 4 * 4 * 4 = <<444=64>>64 possible outcomes in the sample space. This means that there are 64 possible cards that could be chosen, and each of these is an equally likely outcome.
Which ordered pair makes both inequalities true? y > -2x + 3 and y < x - 2
(0, 0) (0, -1) (1, 1) (3, 0)
Answer:
Step-by-step explanation:
The answer is (3,0)
You need to plug in the values of x and y to figure it out, because a coordinate is in the form (x,y) so in (3,0) 3 is the x value and 0 is the y value.
If you plug (3,0) into the first inequality y > -2x+3 you get 0 > -3 which is true
steps
-2(3) +3 = -3
And if you plug (3,0) into the second inequality y < x-2 you get 0 < 1 which is also true
So basically just plug in the values of x and y into the inequality and test if it works on one of the inequalities you've been given if it doesn't try the next order pair, if it does try it on the other inequality and check if it works on it to.
Which of the following properties must a relation have in order to be considered an equivalence relation?
A. symmetry
B. reflexivity
C. transitivity
All symmetry, reflexivity, and transitivity are required for an equivalence relationship.
What is equivalence?In mathematics, equivalence refers to the quality of elements of a group or in a set that share common features.
What are the requirements for an equivalence relationship?To have an equivlance relationship, three requirement are needed:
Symmetry: This can be expressed as a = a and this shows the elments at both sides of the equal symbol can be considered as equivalent.Reflexivity: This can be expressed as a = b then b = a. This property similar to the first property shows sets of numbers are related and equivalent.Transivity: This property can be expressed as If a = b and b = c then a = c. This property implies that if a is equivalent to b, and b is equivalent to c, then it can be concluded a is equivalent to c.Learn more about symmetry in: https://brainly.com/question/1597409
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