Kristin bought 4 fancy shirts and 3 plain shirts.
Let's assume Kristin bought "x" fancy shirts and "y" plain shirts.
We know that:
x + y = 7 (the total number of shirts Kristin bought)
28x + 15y = 131 (the total amount of money she spent)
We can use the first equation to solve for one of the variables in terms of the other.
For example: y = 7 - x
Substituting this into the second equation:
28x + 15(7 - x) = 131
28x + 105 - 15x = 131
13x = -74
x = -5.692307692 (approximately)
Since x must be a positive integer (the number of fancy shirts cannot be negative or a fraction), this solution is not valid.
However, we can see that the equation does have a solution by trying a larger value for x:
x = 1
y = 6
This gives us:
28 * 1 + 15 * 6 = 131
28 + 90 = 131
118 = 131
This solution is not valid either, since the total amount spent cannot be less than the cost of the shirts.
By repeating this process, we can find that the solution is x = 4 and y = 3.
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Donnie is new to a town that does not have a doggie day care facility. Upon researching the situation, Donnie decides to open a doggie day care facility. Which
marketing option for this new business should be a point of emphasis?
Location
Features
Price
Service
Answer: In this situation, location should be a point of emphasis for marketing the new doggie day care business. As a new business in a town without a doggie day care facility, it is important for potential customers to be aware of the new facility's location. This will help people find the business and consider using it for their dog care needs. Additionally, the location of the business will likely impact its accessibility and convenience for customers, so it's important to make sure people know where it is. Once people are aware of the location, they can then consider other factors such as features, price, and service when deciding whether to use the business.
Step-by-step explanation:
pls, help me I really don't understand this stuff.
Answer:
X = -2
Step-by-step explanation:
To find slope, it's
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
You're given two points
First one being (-9, -4) and second one being (x, 7). Both are these are in (x,y) form.
Let's plug it in.
[tex] \frac{11}{7} = \frac{7 - ( - 4)}{x - ( - 9)} [/tex]
^ Solving that, we get...
[tex] \frac{11}{7} = \frac{11}{x + 9} [/tex]
And that's because 7 minus a negative 4 means 7 + 4. Two negatives make a positive.
Now the top is good. 11 = 11.
The bottom says 7 = x + 9
If we were to subtract 9 from both sides... 7-9= -2, so
-2 = x
Hope this helps
n urn contains 13 red marbles, 33 blue marbles, and 38 yellow marbles. one marble is to be chosen from the urn without looking. what is the probability of choosing a red marble?
There is a 15.47% chance of selecting a red marble from the urn without looking.
The probability of choosing a red marble from the urn is expressed by the following formula:
P(Red Marble) = Number of Red Marbles / Total Number of Marbles
In this case, we are dealing with 13 red marbles, 33 blue marbles, and 38 yellow marbles. Therefore, the probability of choosing a red marble is 13/84, or 15.47%. We can calculate this by dividing the number of red marbles (13) by the total number of marbles (84). This means that there is a 15.47% chance of selecting a red marble from the urn without looking.
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Hello can somebody help me with this problem (Funcitons). Thank you in advance.
Functions f(x) and g(x) has same vertex and axis of symmetry. Therefore, option C and D are the correct answers.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are g(x)= -1/2 x² and f(x)=x².
Graph of g(x):
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex: (0,0)
Focus: (0,-1/2)
Axis of Symmetry: x=0
Directrix: y=1/2
Graph of f(x):
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: (0,0)
Focus: (0,1/4)
Axis of Symmetry: x=0
Directrix: y= -1/4
Therefore, option C and D are the correct answers.
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If you roll a 6-sided die 42 times, what is the best prediction possible for the number of times
you will roll a six?
What happens if the opportunity costs of production are constant?
When the potential costs of production are constant, the cost of creating one thing remains constant regardless of how much of that good is produced. This is also known as continuous returns to scale.
What is constant?The term "constant" has several meanings in mathematics. It refers to non-variance as an adjective; as a noun, it has two meanings: A constant and well-defined integer or other mathematical object that does not change. A constant is a value or number whose expression never changes; it is always the same.
Here,
In this case, increasing the production of one good will result in a proportionate rise in the overall cost of production rather than an increase or decrease in the opportunity cost of producing that good. For example, if a corporation manufactures chairs and tables and the opportunity cost of manufacturing one chair is always two tables, the cost of making two chairs is four tables, the cost of producing three chairs is six tables, and so on.
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a metal cylinder is measured to have a length of 5.0 cm and a diameter of 1.26 cm. compute the volume of the cylinder in cm3. use pi
The volume of the cylinder is 6.18 [tex]cm^3[/tex].
The volume of a cylinder—which corresponds to how much material can be transported inside of it or immersed in it—determines its density. The volume of a cylinder is calculated using the formula [tex]r^2h[/tex], where r is the radius of the circular base and h is the height of the cylinder. The material might be any substance that can regularly fill the cylinder with liquid or another substance.
Use the following formula to determine a cylinder's volume:
V = π[tex]r^2h[/tex]
where r is the radius of the cylinder (diameter / 2), h is the height of the cylinder, and π is approximately equal to 3.14.
First, find the radius:
r =[tex]\frac{ 1.26}{ 2}[/tex]
r = 0.63 cm
Next, find the volume:
V = π[tex]r^2h[/tex]
V = π[tex](0.63)^2(5.0)[/tex]
V= π * 0.3969 * 5.0
V= 3.14 * 0.3969 * 5.0
V = 6.18 [tex]cm^3[/tex] (rounded to 2 decimal places).
So, the volume of the cylinder is 6.18 [tex]cm^3[/tex].
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Which statement is true about the rectangle shown?
The right answer is C, which means "number of square feet in area equals number of feet in perimeter."
What is rectangle?A rectangle is a closed two-dimensional geometry with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal and parallel. A rectangle is a quadrilateral with equal and parallel opposite sides. It is a four-sided polygon with four angles of 90 degrees. A rectangular form is two-dimensional. A rhombus is a quadrilateral with all sides the same length and both pairs of opposing sides parallel. The term rhomb is occasionally used instead of rhombus, and a rhombus is also known as a diamond.
Here,
area=6*3
=18 units
perimeter=2*(6+3)
=18 units
area=perimeter
The correct option is C that is "number of square feet in area is equal to number of feet in perimeter."
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What Is $12 for 5 boxes of cereal as a unit rate
[tex]5 \: boxes \: cost \: = \$ 12 \\ \therefore \: 1 \: box \: costs \: = \frac{\$12}{5} \\ \\ \longrightarrow \boxed{1 \: box \: costs \: = \$2.4}[/tex]
hope helpful! ;-;
Name three solution for a variable and a number
Therefore , the solution of the given problem of equation comes out to be
there Are Countless Solutions.
What is an equation?The equivalent indicator (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors using mathematical techniques, which have served as manifestations of reality. For example, the equal sign divides the number 12 or even the solution y + 6 = 12 in two different halves. How many characters already appear on either side of this symbol can be calculated. Conflicting symbol meanings occur frequently.
Here,
Each set of linear equations can have one of three different sorts of solutions.
Unique Solution are them.
No Answer.
There Are Countless Solutions.
Therefore , the solution of the given problem of equation comes out to be
there Are Countless Solutions.
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To express as a trinomial
we can express a trinomial as,
2x² + 5x + 6.
Where 2, 5, and 6 are non-zero real numbers.
2x², 5x, and 6 are the three terms.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
A trinomial is an expression that contains three on-zero terms separated by + or -.
Example:
ax² + bx + c
Where a, b, and c are non-zero real numbers.
Thus,
Trinomials can be 2x² + 5x + 3.
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it took Mr. Black 2 hours to drive to his friends house. on the way back the traffic was heavy and Mr. Black drove 20 mph slower. The trip back took 1 hour longer. What was Mr. Blacks speed to his friend's house?
The speed that Mr. Blacks used to drive to the friend's house would be = 13.3 mph.
How to calculate speed of Mr. Blacks?The number of hours used by Mr Black to the friend's house = 2 hours
The speed that was used by Mr Black while returning from the friends house = 20 mph.
The number of hours it took to return = 1+2 = 3hrs
Then, if 20 mph = 3hrs
X. mph = 2 hrs
Make X the subject of formula;
X = 20×2/3
= 40/3
= 13.3 mph
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a quadrilateral with 90 degree angles is shown. the lengths of the left and right sides are 10 and 2 y 4. the lengths of the top and bottom sides are 18 and 10 2 x. what is the value of y? 3 4 5 6
The value of y of a quadrilateral is 3.
A rectangle is a quadrilateral with four right angles, meaning that all of its angles measure 90 degrees. Given the information provided, the lengths of the left and right sides of the rectangle are equal to 10 and 2y + 4, respectively.
We also have the lengths of the top and bottom sides equal to 18 and 10 + 2x, respectively. However, we don't need to use the information about x as it does not affect the calculation for y.
To find the value of y, we can use the fact that the length and width of a rectangle must be equal. Therefore, we can set the length equal to the width:
10 = 2y + 4
Now that we have an equation, we can solve for y by subtracting 4 from both sides:
2y + 4 - 4 = 10 - 4
2y = 6
Finally, to find y, we can divide both sides of the equation by 2:
2y / 2 = 6 / 2
y = 3
Therefore, the value of y is 3.
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in the construction of a pie chart, how many degrees would be in the section of the pie showing the yes answers?
The section of the pie showing the "yes" answers would have 162 degrees in a pie chart.
In a pie chart, the size of each section is proportional to the proportion of the data it represents. To calculate the size of the section showing the "yes" answers, we first need to find the proportion of "yes" answers in the total sample.
The proportion of "yes" answers can be calculated as:
(54 YES) / (54 YES + 39 NO + 27 no-opinion) = 54 / (120) = 9/20
In a pie chart, the proportion of each section is represented as a fraction of 360 degrees. So, to find the number of degrees in the "yes" section of the pie chart, we multiply 360 by the proportion of "yes" answers:
360 * (9/20) = 162 degrees
Therefore, the section of the pie showing the "yes" answers would have 162 degrees in a pie chart.
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Simplify (24)−1. please help me find out
Step-by-step explanation:
24×-1=
-24ans
and that's the answer
What is -6x + 15y - 24
Answer:
-3(2x-5y+8)
Step-by-step explanation:
researchers recruited 60 undergraduate students, in exchange for course credit, for a study on the effect of recycling on how much wrapping paper subjects used to wrap a gift. the subjects were randomly assigned to one of two rooms. in one room there was a large recycling bin and in the other a large trash bin. subjects were asked to wrap a gift. unknown to the students, the researchers were interested in how much paper the students used. the researchers found that students in the room with the recycling bin used significantly more paper than those in the room with a trash bin. in this experiment, the amount of wrapping paper used is:
In this study, 60 undergraduate students were recruited to examine the effect of recycling on the amount of wrapping paper used to wrap a gift. The students were randomly assigned to one of two rooms, one with a recycling bin and one with a trash bin.
The researchers, who were secretly interested in measuring the amount of paper used, found that the students in the room with the recycling bin used significantly more paper than those in the room with the trash bin. This experiment suggests that the presence of a recycling bin may not have a significant effect on reducing the amount of wrapping paper used.
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1. There are 360 stickers in a box, divided equally among a group of children. If there are six fewer children in the group, each of the remaining children would receive two additional stickers. How many children are there initially?
Using Algebra, we concluded, there are 36 children.
The study of variables and the procedures for modifying variables in formulas is known as algebra, and it is the subject that underlies almost all of mathematics. All applications of mathematics require knowledge of elementary algebra since it deals with manipulating variables as though they were numbers.
What are the Algebra Basics?In algebra, the fundamental concepts are numbers, variables, constants, expressions, equations, linear equations, and quadratic equations. Additionally, it requires adding, subtracting, multiplying, and dividing basic arithmetic operations within the algebraic formulas.
How to solve?If there are X children at first
[tex]\frac{360}{x}+2=\frac{360}{x-6}[/tex]
360(x-6)+2x(x-6)=360x
360x-2160-12x=0
(X+30)(x-36)=0
So,x+30=0 x-36=0
X=-30, x=-36
Because X Great than or equal to 0
X=36
So there are 36 children at first.
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3/8 H =-9 what does H =
Answer:
Below
Step-by-step explanation:
3/8 h = - 9 multiply both sides of the equation by 8/3
h = - 9 * 8/3 = - 24
Which is more affected by skewness, the IQR or standard deviation? IQR Neither one is affected. Standard Deviation Both are affected the same amount.
The correct answer is option 2. Neither one is affected by skewness.
The IQR (Interquartile Range) and standard deviation are both measures of variability in a data set, but they are affected by different aspects of the data. The IQR is affected by the spread of the middle 50% of the data, while the standard deviation is affected by the spread of all the data points.
Skewness, or the asymmetry of a distribution, affects the mean and median of a data set but does not directly affect either the IQR or standard deviation. However, it can indirectly affect the measures if it is severe enough to cause the data to be spread more unevenly.
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Complete Question:
Which is more affected by skewness, the IQR or standard deviation?
IQR Neither one is affected. Standard Deviation Both are affected the same amount.p and q are complex numbers such that |p| = 3x+2, |q|= 2x+1, and p + q = -2.
On what interval must x fall on?
0
O
[---]
O [3,00)
0 [-1,-1]
0 (-∞, -¹]
◄
1
In complex number, that x ranges from -5 to -1/2 and the correct option is (-∞, -1/2)
What is complex number?In mathematics, a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit and satisfying the equation [tex]{\displaystyle i^{2}=-1};[/tex]
every complex number can be expressed in the form a + bi, where a and b are real numbers. Because no real number satisfies the above equation, i was called an imaginary number by René Descartes.
Given that,
|P| = 3x + 2
|Q| = 2x + 1
P+Q = -2
We know that, from Cauchy inequalities
|P| + |Q| > |P+Q|
3x + 2 + 2x + 1 > - 2
5x + 3 > - 2
subtract both side by 3
5x > -5
Divide both side by 5
x > -1 first condition
Note that,
|P| > 0
Then,
3x + 2 > 0
3x > -2
x > -2/3
Also,
|Q| > 0
2x + 1 > 0
2x > -1
x > -1/2
So, comparing the three conditions
We see that x ranges from -5 to -1/2, this range covers all the other ranges
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Pls help me really fast
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Square inches formula is: }\\\\\large\boxed{\mathsf{l}\rm{ength}\times\mathsf{h}\rm{eight} = \mathsf{s}\rm{quare \ inches}}}}}}}[/tex]
[tex]\huge\text{So, your equation should look like:}[/tex]
[tex]\large\boxed{\mathsf{3\ inches \times 8\ inches \times 14\ inches = square\ inches^2}}}[/tex]
[tex]\huge\text{Now let us solve for your answer to this problem:}[/tex]
[tex]\large\boxed{\mathsf{3\ inches \times 8\ inches \times 14\ inches = square\ inches^2}}}[/tex]
[tex]\large\boxed{\mathsf{24\ inches\times 14\ inches = square\ inches^2}}[/tex]
[tex]\large\boxed{\mathsf{336 = square\ inches^2}}[/tex]
[tex]\huge\text{Therefore, your answer SHOULD be:}[/tex]
[tex]\huge\boxed{\mathsf{Option\ D. \ 336}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
given that the selected individual has at least one card, what is the probability that he or she has a visa card?
The probability that he or she has a visa card is 40%.
Probability is a mathematical concept that describes the likelihood of an event happening. In this case, the event is the selected individual having a visa card.
Let's assume that the individual has a total of n cards and v of those are visa cards. The probability of the individual having a visa card is given by the formula:
P(Visa) = v/n
This formula expresses the ratio of the number of successful outcomes (having a visa card) to the total number of possible outcomes (having any type of card).
The probability is expressed as a decimal or a percentage. If the individual has 5 cards and 2 of them are visa cards, then the probability of them having a visa card is
=> 2/5 = 0.4 or 40%.
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Use the vectors u = 3, 3 and v = −5, 1 to find the indicated quantity.
The indicated quantity is a zero vector for the given vectors.
What is a vector?A vector is a quantity that has both magnitude and direction (numerical size). The inverse of a scalar, which is a quantity with just magnitude and no direction.
The vectors are given in the question, as follows:
u = <3,3>
v = <-5,1>
The vectors u = (3, 3) and v = (-5, 1) represent points in the x-y plane.
Let
u+v = <-2,4>
Now
(u+v).0 = <-2.0,4.0> = <0,0>
(u+v).0 = 0
Thus, the result is a zero vector.
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Help me please asap!!!!!
Answer:
435 cubic yards.
Step-by-step explanation:
Length x width x height.
Cut the shape into 2 parts.
Calculate the length for each.
13 yd - 5 yd = 8 yd
5 × 5 × 11 = 275
8 × 4 × 5 = 160
275 + 160
435 cubic yards
I need to find the rate of change for this! Thank you ☀️
The function represents the exponential decay. And the rate of change is 20%.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
y = a (1 ± r)ˣ
The exponent function is given below.
[tex]\rm m(t) = \left ( \dfrac{4}{5} \right)^t[/tex]
Compare the equation with the standard form. Then we have
If the value of the 1 - r is less than 1, then the rate is decaying.
1 - r = 4/5
r = 1 - 4/5
r = 1/5
r = 0.20 or 20%
The function represents the exponential decay. And the rate of change is 20%.
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Write and solve the inequality.Then, graph the solution.
Nine less than the product of a number n and 1/5
is no more than 97.
The inequality is solved to give n ≤ 530
How to determine the solution to the inequalityIt is important to note that algebraic expression are expressions that are composed of terms, variables, coefficients, factors and constants.
From the information given, we have that;
Nine less than the product of a number n and 1/5 is no more than 97
This is represented as;
1/5n - 9 ≤ 97
Now, collect like terms, we get;
1/5n ≤ 97 + 9
Add the like terms
1/5n ≤ 106
Now, cross multiply, we get;
n ≤ 106(5)
Multiply the values
n ≤ 530
Hence, the value is n ≤ 530
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Round 17 nearest ten
Answer:
20.....
Step-by-step explanation:
Answer:
17.0
Step-by-step explanation:
17 is a whole number, so when rounding to the nearest tenth, it would still be 17.
A boat travels S 14°E for 12 km and then changes direction to S 49°E for another 16 km.
a )Find x,the distance of the boat from its starting point to two decimal places.
b )Find b to the nearest degree.
c )Hence, find the bearing that the boat should travel on to return to the starting point.
Help please!
a) The distance of the boat from its starting point is 20 km.
b. The nearest degree is 63°
c. The bearing g that the boat should travel on to return to the starting point is 360° - 63° = 297°.
How to calculate?To find the distance of the boat from its starting point, we can use the Pythagorean theorem.
x^2 + y^2 = d^2
Substituting the values for x and y, we get:
12^2 + 16^2 = d^2
d^2 = 144 + 256
d^2 = 400
d = 20
Hence, the distance of the boat from its starting point is 20 km.
b) To find the bearing that the boat should travel on to return to the starting point, we must calculate the angle between the two legs of the journey.
b = arctan (y / x) = arctan (16 / 12) = 63.43°
To the nearest degree is 63°.
c) The bearing that the boat should travel on to return to the starting point is the opposite direction of the angle formed by the two legs of the journey. Therefore, the bearing is 360° - 63° = 297°.
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The side length of one triangle is 100 cm. Which pair of measurements could be the lengths of the other two sides?
One possible pair could be "80 cm and 20 cm" if the side length of one triangle is 100 cm.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.
As we know that a triangle is considered a valid triangle if and only if the sum of the lengths of any two sides is greater than the length of the third side.
Given one side length of a triangle is 100 cm, the possible lengths of the other two sides would be any two numbers that add up to be greater than 100 cm.
Thus, one possible pair could be "80 cm and 20 cm" for the given triangle.
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