Answer:
look at the photo.............
Martez, Jadah and Roana are collecting donations for Riley Children's Hospital. Together they collected a total of $73. Martez collected five more dollars than Jadah. Roana collected seven less than three times as much money as Jadah. write a variable to represent the situation
Answer:
The variable expression equation of the situation is;
x + 5 + x + 3·x - 7 = $73
The amount of money Jadah collects = $15
The amount of money Martez collects = $20
The amount of money Roana collects = $38
Step-by-step explanation:
The given parameters are;
The total amount of money they collect together = $73
The amount of money Martez collects = 5 + The amount of money Jadah collects
The amount of money Roana collects = 3 × The amount of money Jadah collects - 7
Let x represent the amount of money Jadah collects
Therefore, we have;
The amount of money Martez collects = 5 + x
The amount of money Roana collects = 3 × x - 7
The variable expression equation of the situation is given as follows;
The total amount of money the three collected = x + 5 + x + 3 × x - 7 = $73
∴ 5 × x - 2 = $73
5 × x - 2 = 73
5 × x = 73 + 2 = 75
x = 75/5 = 15
x = 15
The amount of money Jadah collects = x = $15
The amount of money Martez collects = 5 + x = 5 + 15 = 20
The amount of money Martez collects = $20
The amount of money Roana collects = 3 × x - 7 = 3 × 15 - 7 = 38
The amount of money Roana collects = $38
Use the graph below to fill in the blank with the correct number:
f(1) = ________
The function's value at x = 1, y = - 1 Or f(1) = -1.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
The x-coordinate represents the input and the y-coordinate represents the output.
From the given points in the graph, we can conclude that when x = 1, y = -1.
Therefore, The value of the function f(1) = -1.
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-2x-6=3x-21 solve for x
-2x-6 =3x-21
Move all the variable terms ( the ones that have the x variable) to the left side of the equation:
-2x-3x = -21+6
Combine like terms
-5x = -15
Divide both sides of the equation by -5:
-5x/-5 = -15 /-5
x = 3
someone help me!!! please
Answer:
124568
865421
Step-by-step explanation:
please give 5 stars then i will say the rest
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a Question 18 options: A) kite. B) trapezoid. C) hexagon. D) parallelogram.
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Option (d) is the correct choice.
A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.
A parallelogram has the following qualities:
The opposing sides are equally spaced and parallel.
Angles on either side are equal.
The following or neighboring angles are supplemental.
All of the angles will be at right angles if any one of them is a right angle.
The two diagonals cut across one another.
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choose the option with the correct name of segment/line/ray shown.
a. perpendicular bisector
b. angle bisector
c. median
d. altitude
perpendicular bisector
the bisector divided the base side into two congruent parts; which makes it a BISECTOR.
it's also perpendicular, as you can see from the little box next to it.
so it's a perpendicular bisector :)
hope this helps!!
Answer:
altitude because look at the pic
Step-by-step explanation:
One class contain 5 girls and 10 boys and a second class contain 13 boys and 12 girls. If a student is randomly picked from the second class and transferred to the first one. After that a student is randomly chosen from the first class. What is the probability that this student is a boy?
To solve this question, we need to consider the two steps: transferring a student from the second class to the first class, and then randomly choosing a student from the first class.
Let's calculate the probabilities step by step:
Step 1: Transferring a student from the second class to the first class
The probability of transferring a boy from the second class is the ratio of the number of boys in the second class (13 boys) to the total number of students in the second class (13 boys + 12 girls).
P(boy transferred) = 13 / (13 + 12) = 13 / 25
Step 2: Randomly choosing a student from the first class
After the transfer, the first class will have 10 boys and 11 girls. The probability of randomly choosing a boy from the first class is the ratio of the number of boys in the first class (10 boys) to the total number of students in the first class (10 boys + 11 girls).
P(boy chosen from first class) = 10 / (10 + 11) = 10 / 21
Now, to find the overall probability, we multiply the probabilities of the two steps:
P(boy chosen) = P(boy transferred) * P(boy chosen from first class) = (13/25) * (10/21)
Therefore, the probability that the student chosen from the first class is a boy is (13/25) * (10/21), which can be simplified or approximated as needed.
LaTeX code snippet for the answer:
The probability that the student chosen from the first class is a boy is
\($\left(\frac{13}{25}\right) \times \left(\frac{10}{21}\right)$.\)
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I need the steps and answers please
Answer:
y = 26-3xx = 15/(1-2y)Step-by-step explanation:
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1) a. Write an equation that expresses the first law of thermodynamics in terms of heat and work.
b. Under what conditions will the quantities q and w be negative numbers?
The first law of thermodynamics is a fundamental principle in physics that states energy cannot be created or destroyed, only converted from one form to another. It can be expressed in terms of heat and work through the equation:
ΔU = q - w
where ΔU represents the change in internal energy of a system, q represents the heat added to the system, and w represents the work done on or by the system.
Now, let's address when the quantities q and w would be negative numbers.
1) When q is negative: This occurs when heat is removed from the system, indicating an energy loss. For example, when a substance is cooled, heat is extracted from it, resulting in a negative value for q.
2) When w is negative: This occurs when work is done on the system, decreasing its energy. For instance, when compressing a gas, work is done on it, leading to a negative value for w.
In both cases, the negative sign indicates a reduction in energy or the transfer of energy from the system to its surroundings.
In summary, the first law of thermodynamics can be expressed as ΔU = q - w, and q and w can be negative numbers when energy is lost from the system through the removal of heat or when work is done on the system.
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Solve each equation. 4 y-6=2 y+8
The solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.
According to the given question.
We have a linear equation in one variable.
4y - 6 = 2y + 8
As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
Thereofre, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is given by
4y - 6 = 2y + 8
⇒ 4y - 2y - 6 = 8 ( subtracting 2y from both the sides)
⇒ 2y -6 -8 = 0 (subtracting 8 from both the sides)
⇒ 2y - 14 = 0
⇒ 2y = 14
⇒ y = 14/2
⇒ y = 7
Hence, the solution of the linear equation in one variable 4y - 6 = 2y + 8 is at y = 7.
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The cost of having one pizza delivered is $14. Each additional pizza costs $9 more. Choose the recursive formula to represent the situation.
Answer:
an = an – 1 + 14; a1 = 9
Step-by-step explanation:
Answer:
Step-by-step explanation:
pizza represent p
$14=1p
$9=9*1/4=9/4
After a 25% discount, the price of a T-shirt was $12. What was the price before the
discount?
Answer:
$16
Step-by-step explanation:
100-25=75
75/100=12/x
75x=100(12)
75x=1200
/75. /75
x=16
Hopes this helps please mark brainliest
Solve for z: 5z + x – y = 3x + 4
z = 2/5x + 1/5y + 4/5
Step 1: Add -x to both sides
Step 2: Add y to both sides
Step 3: Divide both sides by 5
Answer:
z= \(\frac{2x}{5} + \frac{4}{5} +\frac{1y}{5}\)
Step-by-step explanation:
first get the variable z on one side by itself
5z + x – y = 3x + 4
-x -x
5z – y = 2x + 4
+y +y
5z = 2x + 4+y
divide by 5 to get the answer for the variable z
5z = 2x + 4+y
\(\frac{5z}{5} = \frac {2x + 4+y}{5}\\\)
z= \(\frac{2x}{5} + \frac{4}{5} +\frac{1y}{5}\)
HOPE THIS HELPS:)
find the probability of drawing a black face card on the first draw, replacing it, and drawing a 9 card on the second draw?
true/false : within plus and minus two standard deviations of the mean, the area under any normal curve is about 68%
Answer:
False
Step-by-step explanation:
68% falls between the first standard deviation from the mean.
plus minus two would fall under 95%
Please help me !! would appreciate
The answers that describe the quadrilateral DEFG area rectangle and parallelogram.
The correct answer choice is option A and B.
What is a quadrilateral?A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.
Quadrilateral DEFG
if line DE || FG,
line EF // GD,
DF = EG and
diagonals DF and EG are perpendicular,
then, the quadrilateral is a parallelogram
Hence, the quadrilateral DEFG is a rectangle and parallelogram.
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Find the 20th term of the following sequence. -6, -4, -2, 0
Answer:
32.
Step-by-step explanation:
This is an arithmetic sequence with first term a1 = -6 and common difference 2.
an = a1 + d(n - 1)
a20 = -6 + 2(20-1) = 32
The x-coordinate of the vertex of the function y=-x²+bx+3 is 10. Determine the y-coordinate of the vertex.
Answer:
103Step-by-step explanation:
Given function:
y = -x² + bx + 3The x-coordinate of a quadratic function y = ax² + bx + c is determined by:
x = -b/2aThe given function has:
x = 10, and a = -1Find the value of b:
10 = -b / -2b = 20The function is:
y = -x² + 20x + 3The y-coordinate of the vertex is:
y = -(10²) + 20*10 + 3 = -100 + 200 + 3 = 103Answer:
Solution given:
y = -x² + bx + 3
we have
The x-coordinate of a quadratic function y = ax² + bx + c is determined by:
x = \( \frac{ - b}{2a} \)
we have
x = 10, and a = -1
Substituting value of a in -b/2a
we get
b = 20
now
The y-coordinate of the vertex is:
y = -(10²) +20*10+ 3 = -100 + 200 + 3 = 103 is your answer.
Algebra 2 help ASAP...23mins left!!!!
Answer:
D
Step-by-step explanation:
i have a website you can copy and paste things into
an equation calculator
Answer: D
Step-by-step explanation:
a(a - b)+b(a - b) + (a - b)²
Answer:
a^4 - b^4
Step-by-step explanation:
a(a - b) + b(a - b) + (a - b)^2 --> Given
a^2 - ab + b(a - b) + (a - b)^2 --> Distributive Property
a^2 - ab + ba - b^2 + (a - b)^2 --> Distributive Property
a^2 - ab + ba - b^2 + a^2 - b^2 --> Distributive Property
a^4 - ab + ba - b^2 - b^2 --> Combine Like Terms
a^4 + 0 - b^2 - b^2 --> Combine Like Terms (a * b = b * a)
a^4 - b^4 --> Combine Like Terms
Does the graph represent a proportional relationship? Why or why not?
Answer:
no cause the graph dosen't cross the 0
Step-by-step explanation:
Jane buys 3 magnets and 9 bookmarks at a craft fair. The magnets cost $5 each, and the bookmarks cost $2 each. Which equations can be used to find how many dollars, d, Jane spends at the craft fair? Choose all the correct answers.
Answer:
Choice A and C
Step-by-step explanation:
If 1 magnet costs $5, then 3 magnets cost $15 because adding 3 magnets to your bag, would equal to 5+5+5, or 5x3. If 1 bookmark cost $2, then 9 bookmarks would cost $18 to your bag, which would equal 9+9, or 9x2.
So, C is correct because 5x3 is 15, and 2x9 is 18. A is also correct because it's just the other way around, 2x9=18 and 5x3=15.
Jazmine can run 4 5/6 miles in 2/3 of an hour. How many miles can she run in 1 hour?
Answer: she can run \(6\dfrac54\) mile sin 1 hour.
Step-by-step explanation:
Given : Distance run by Jasmine in \(\dfrac23\) of an hour = \(4\dfrac56\text{ miles}=\dfrac{24+5}{6}\text{ miles}\)
\(=\dfrac{29}{6}\) miles
Distance run by Jasmine in 1 hour = \(\dfrac{29}{6}\times\dfrac{3}{2}=\dfrac{29}{4}\) miles.
\(=6\dfrac{5}{4}\) miles.
Hence, she can run \(6\dfrac54\) mile sin 1 hour.
Given vectors a=(3, 2) and b=(-5, 6), find – 3a+2b.Write your answer in component form.-3a + 2b =
Vector a = (3, 2), then;
\(-3a=-3(3,2)\text{ = (-9,-6)}\)Also, vector b = (-5, 6), then;
\(2b=2(-5,6)=(-10,12)\)Then, -3a + 2b = (-9, -6) + (-10, 12)
\(\begin{gathered} -3a+2b=(-9+(-10),-6+12)_{} \\ -3a+2b=(-19,6) \end{gathered}\)The answer is (-19,6)
20% of x is 40.
x=?
please help!!
Answer:
200
Step-by-step explanation:
0.2 * x = 40
40 / 0.2 = 200
Pls help me
Question 10 (1 point)
Which of the following measurements, could be the side lengths of a right triangle?
a
8 inches, 10 inches, and 12 inches
9 inches, 12 inches, and 15 inches
b
с
10 inches, 5 inches, 11 inches
d
6 inches, 12 inches, 14 inches
Submit
Answer:
9in 12in 15in
Step-by-step explanation:
sam is carrying a 2 gallon bucket of milk to his house from the barn, which is 3 miles away from his house. however, the bucket has a leak in it. for each mile he walks, there is $\frac{2}{3}$ as much milk in the bucket as at the beginning of the mile. how many gallons of milk will be in the bucket when sam gets home?
In linear equation, 75 reservations should the airline accept to fill a plane.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.The amount remaining will be
= 2 (2/3)^3
= 2 ( 8/27)
= 16/27 gal
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statistical models predict that the price (in dollars) of a 500 gb hard drive will change according to the function p(t)
The required expression that gives the number of months t in terms of the price p is, t(p) =√1/2 (600-p).
The given function is p(t) = 600 − 2t².
We need to find the expression that gives the number of months t (passed since January 1) in terms of the price p.
What is the function?Functions are the fundamental part of 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. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h.
Here, the expression that gives p in terms of t is, p(t) = 600 − 2t²----(1)
Where p represents the price and t represents the number of months t (passed since January 1).
From equation (1),
p= 600 − 2t²
⇒2t²=600-p
⇒t²=1/2 (600-p)
⇒t=±√1/2 (600-p)
But, the number of months can not be negative, t=√1/2 (600-p).
Since in this expression t is in the term of p.
Hence, the required expression that gives the number of months t in terms of the price p is, t(p) =√1/2 (600-p).
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Your question is incomplete, probably the complete question/missing part is:
Statistical models predict that the price (in dollars) of a 500 GB hard drive will change according to the function p(t) = 600 − 2t², where t is the month. Which expression gives the number of months t (passed since January 1) in terms of the price p?
Timothy walks from home to a mailbox. After walking 15 min, he puts a letter in the mailbox. Then he walks home at the same speed. The graph shows his distance from the mailbox as a function of time. Select all the statements that are true of the function.
A. The x-intercept is (0, 3,750).
B. The x-intercept is (15, 0).
C. The y-intercept is (0, 3,750).
D. The y-intercept is (15, 0).
E. The y-intercepts are (0, 3,750) and (30, 3,750).
The correct statements regarding the function are given as follows:
B. The x-intercept is (15, 0).
C. The y-intercept is (0, 3,750).
What are the intercepts of a function?The intercepts of a function are two, the x-intercept and the y-intercept, defined as follows:
The set of x-intercepts is composed by the values of x for which the function crosses or touches the x-axis, that is, the values of x for which y = 0.The y-intercept is the value of y for which x = 0, that is, the value of y when the function touches or crosses the y-axis.A function can have only one y-intercept as a function must have only one output relative to the input x = 0, however it can have an infinity amount of x-intercepts.
From the definitions in these bullet points, the intercepts for this function are given as follows:
x-intercept: (15,0).y-intercept: (0, 3750).This means that statements B and C are correct.
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Find the equation of the plane passing through the point (−1,3,2) and perpendicular to each of the planes x+2y+3z=5 and 3x+3y+z=0.
The equation of the plane passing through (-1, 3, 2) and perpendicular to x + 2y + 3z = 5 and 3x + 3y + z = 0 is -7x + 8y - 3z = -7.
To find the equation of the plane passing through the point (-1, 3, 2) and perpendicular to each of the planes x + 2y + 3z = 5 and 3x + 3y + z = 0, we can use the cross product of the normal vectors of the given planes. The normal vectors of the given planes are <1, 2, 3> and <3, 3, 1> respectively. Taking the cross product of these two vectors, we get <-7, 8, -3>. Therefore, the equation of the plane passing through the point (-1, 3, 2) and perpendicular to both given planes is -7x + 8y - 3z = -7.
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