The equation used to represent the context is 1041.50 + 62.75p = 2045.50.
How to compute the equation?From the information, they rented a bus for $1041.50 and budgeted $62.75 per player for meals.
Therefore, the equation will be:
1041.50 + (62.75 × p) = 2045.50
1041.50 + 62.75p = 2045.50
Therefore, the equation will be 1041.50 + 62.75p = 2045.50.
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what is the formula of a²-b²
Answer:
a^2-b^2=(a + b) (a - b) is the formula
[tex]x {}^{2} + 2x + 6 = 0[/tex]
please give me answer.....
Answer:
[tex]\sf x = -1 + \sqrt{5}\:i,\: -1 - \sqrt{5}\:i[/tex]
Explanation:
[tex]\sf \rightarrow x^2 + 2x +6 = 0[/tex]
[tex]\sf use\:quadratic\:formula: x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \quad when \: \: ax^2 + bx + c = 0[/tex]
comparing identify:
a = 1, b = 2, c = 6Substitute inside the formula:
[tex]\rightarrow \sf x = \dfrac{ -2 \pm \sqrt{2^2 - 4(1)(6)}}{2(1)}[/tex]
evaluate:
[tex]\rightarrow \sf x = \dfrac{ -2 \pm \sqrt{4 - 24}}{2}[/tex]
[tex]\rightarrow \sf x = \dfrac{ -2 \pm \sqrt{- 20}}{2}[/tex]
[tex]\rightarrow \sf x = \dfrac{ -2 \pm 2\sqrt{5}\:i}{2}[/tex]
[tex]\rightarrow \sf x =-1 \pm \sqrt{5}\:i[/tex]
[tex]\rightarrow \sf x = -1 + \sqrt{5}\:i,\: -1 - \sqrt{5}\:i[/tex]
Lakisha has a -56 balance on her credit card. She makes two additional charges to pay $32 for gas and $15 for parking. Then she makes a credit
card payment of $50. What is her remaining balance?
a) Which of shapes A, B, C and D is congruent to shape E?
E
A
B
с
b) Which other two shapes (from A, B, C and D) are congruent to each other?
Answer:
A) E
B) Shape A and E
(i think)
given the following list of tips (in dollars) earned in the last hour by waiters in a japanese restaurant, find the median. 30,17,47,47,26,17,36,31,21,17
The median of the data set given for the tips (in dollars) earned in the last hour by waiters in a Japanese restaurant is determined as: 28.
What is the Median of a Data?]The median of any given data set is the data value that lies at the center of the data set when ordered.
Given the data set, 30,17,47,47,26,17,36,31,21,17, order the data set from the least to the greatest:
17, 17, 17, 21, 26, 30, 31, 36, 47, 47
The center or middle of the data set is 28.
Thus, the median of the data set given for the tips (in dollars) earned in the last hour by waiters in a Japanese restaurant is determined as: 28.
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Solve please? I'm struggling haha
Answer:
Hello,
Answer d
Step-by-step explanation:
Since x=y then 3v-1=2v+6 ==> v=7
Answer d
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
The number line that represents the solution set for the inequality 3(8 – 4x) < 6(x – 5) will be D. A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.
How to illustrate the information?It should be noted that a number line is used to illustrate the intervals between the numbers given.
Therefore, the number line that represents the solution set for the inequality 3(8 – 4x) < 6(x – 5) will be a number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right
In conclusion, the correct option is D.
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Kristin parked in a different parking garage that charges 5.75 per hour she was charges 34.50 for parking. how many hours did she park her car at the garage
p(z) = 3r+4
q(z) = 2z²
Find p (q(z))
The value of the function p (q(z)) is 6z² +4 .
By considering the given functions
p(z) = 3r+4
q(z) = 2z²
p (q(z))= p( 2z²)
p (q(z))= 3(2z²)+4
p (q(z))= 6z² +4
A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function domain and codomain, respectively. a mathematical expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions are everywhere, and they are crucial for constructing physical relationships in the sciences.
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Pls help, Idc if you answer 1 I have j and k done already It is just the rest.
Answer:
L: (4,0) and L': (2,0)
Step-by-step explanation:
Answer:
Step-by-step explanation:
I messed up on P'
I drew it as -3,3 but it should be -3,2
Which is what i wrote it as
The graph of a linear function is shown
Which word describes the slope of the line?
positive
negative
zero
lundefined
The slope of the line is zero.
The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope or gradient. In the coordinate plane, it represents the slope of the line.
In the general equation of a line y= mx + c , m denotes the slope of the line.Slope of a line is calculated by the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex] If a straight line makes an angle θ with the positive x-axis then the slope of the line is given by m = tanθFrom the given figure we can see that the line is parallel to the x-axis.
Any line parallel to the x-axis is given by the general equation y = a .
This equation can also be written as:
y = 0 x + a.
Comparing the above equation with the general equation of a straight line y = mx + c
we see m = 0 and c = a (a is a constant)
Hence the slope of the line is 0.
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What is the greatest common factor of 56,72,100
Answer:
4
Step-by-step explanation:
56/4=14
72/4=18
100/4=25
4 has to be the biggest common factor.
What is the value of n? 9.6x10^9=(2x10^5)(4.8x10^n)
[tex]9.6\times 10^9~~ = ~~(2\times 10^5)(4.8\times 10^n)\implies \cfrac{9.6\times 10^9}{2\times 10^5}~~ = ~~4.8\times 10^n \\\\\\ \cfrac{9.6}{2}\times \cfrac{10^9}{10^5}~~ = ~~4.8\times 10^n\implies 4.8\times 10^{9-5}~~ = ~~4.8\times 10^n \\\\\\ 4.8\times 10^4~~ = ~~4.8\times 10^n\implies \cfrac{4.8\times 10^4}{4.8}=10^n\implies \cfrac{4.8}{4.8}\times 10^4=10^n \\\\\\ 1\times 10^4=10^n\implies 10^4=10^n\implies 4 = n[/tex]
f+an=g Solve for 'a'.
Answer:
a= [tex]\frac{g-f}{n}[/tex]
Step-by-step explanation:
First, start off by subtracting f from both sides. This gives you "g - f" and you are left with "an." Now, to isolate the variable, we must divide "n" from both sides and you will get "a= g - f/n," which is the final answer.
Hope this helps! :D
Jai drove 225 miles in 5 hours. On average, how fast did he drive, in miles per hour?
is y=x+8 a inverse variation
It should be noted that y=x+8 is not an inverse variation.
What is an inverse relation?The relationships between variables that are expressed in the form of y = k/x, where x and y are two variables and k is a constant number, are known as inverse variations. According to this statement, if the value of one item rises, the value of the other quantity falls.
Ab example is when a constant of variation is k = xy = 5(2) = 10 if y changes inversely as x and x = 5 when y = 2. Consequently, xy = 10 is the equation that describes this inverse variation.
Therefore, it should be noted that y=x+8 is not an inverse variation.
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how can you apply the Laws of Exponents to evaluate expressions that include integer exponents?
Exponent rules are those laws that are applied to exponent-based expressions to make them simpler. The principles of exponents make it simple and rapid to execute numerous arithmetic operations like addition, subtraction, multiplication, and division. These guidelines are also useful for reducing the complexity of numbers that have complex powers incorporating fractions, decimals, and roots.
Exponent rules, commonly referred to as the "laws of exponents" or "properties of exponents," facilitate the task of simplifying exponent-based statements. These guidelines are useful for reducing the complexity of expressions whose exponents are decimals, fractions, irrational numbers, or negative integers.
When an exponent is a negative number, we apply the negative law of exponents. This rule states, "The reciprocal should be taken to convert any negative exponent into a positive exponent." The change in sign of the exponent values moves the expression from the numerator to the denominator.
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Whats the answer to this question?
Answer:
option A
Step-by-step explanation:
Please answer the question in the photo [ Brainliest + points ]
Answer:
26 i believe 66 - 40 = 26 hope this helps
A student measured the mass of a rock as 20 g. But the actual mass of the rock is 30 g. What was the student's percent deviation?
Answer:
33.3%
Step-by-step explanation:
%error =error/actual value*100
=30-20/30*100
=10/30*100
=33.3%
Solve for y.
1+ 2y = 11.08 +0.2y
Answer:
y=5.6
Step-by-step explanation:
1 + 2y = 11.08 +0.2y
Move the values w/ y all to one side and the ones without to the other side
1+ 2y = 11.08 + 0.2y
-0.2y - 0.2y
-1 -1
1.8y=10.08
Divide by 1.8
y=5.6
Given the system of equations:
6x + 2y = −6
3x − 4y = −18
Solve for (x, y) using elimination.
(0, −3)
(−1, 0)
(−2, 3)
(−14, −6)
Answer:
(- 2, 3 )
Step-by-step explanation:
6x + 2y = - 6 → (1)
3x - 4y = - 18 → (2)
multiplying (1) by 2 and adding to (2) will eliminate y
12x + 4y = - 12 → (3)
add (2) and (3( term by term to eliminate y
15x + 0 = - 30
15x = - 30 ( divide both sides by 15 )
x = - 2
substitute x = - 2 into either of the 2 equations and solve for y
substituting into (1)
6(- 2) + 2y = - 6
- 12 + 2y = - 6 ( add 12 to both sides )
2y = 6 ( divide both sides by 2 )
y = 3
solution is (- 2, 3 )
Answer:
(-2, 3)
Step-by-step explanation:
Haley has a monthly fee of $20
The domain and range of the function C(m) the equation for is mathematically given as
Dc=[0,\infty)
This is further explained below.
What are the domain and range of the function C(m)?Generally, The domain and the range of a function are as follows: The values that are assumed by an input are referred to as a function's domain, while the numbers that are assumed by the outputs are referred to as the function's range.
In this question:
C(m)=0.05m+20
The input, denoted by the letter m, is the number of phone calls, and this value might be anything between 0 to an unlimited amount. So
The domain is Dc=[0,\infty)
The value of C(0) is equal to 20 when the input m is set to 0. As m grows, so does C (m). What this indicates is that:
The range is: Rc=[20,\infty)
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CQ
Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The total cost of Haley’s monthly cell phone bill can be expressed by the function C(m) = 0.05m + 20, where m is the number of minutes used. What are the domain and range of the function C(m)?
HELP ASAP
BX bisects
Answer: 124 degrees ==> Option 3
Step-by-step explanation:
ABC=ABX+XBC
ABX=XBC ==> bisected angles are equal since when an angle is bisected, it is divided into two equal angles. Hence:
ABC=XBC*2
ABC=62*2
ABC=124 degrees ==> Option 3
pls solve this question step by step solution.
Answer:
42, 12)
Step-by-step explanation:
Let the present ages of the father and son be x years and y years respectively.
According to the question,
Condition I,
Three years ago the sum of the ages of the father and his son was 48 years.
or,(x−3)+(y−3)=48
or,x−3+y−3=48
or,x−6=48−y
or,x=54−y - (i)
Condition II,
Three years hence the father's age will be three times the son's age,
or,(x+3)=3(y+3)
or,x+3=3y+9 - (ii)
Put value of x from equation (i) in equation (ii), we get,
or,(54−y)+3=3y+9
or,54−y=3y+9−3
or,54−6=3y+y
or,48=4y
or,y=484
∴y=12
Put the value of y in equation (i), we get,
or,x=54−12
∴x=42
So, (x,y) = (42, 12)
Therefore, the required present ages of the father and the son are 42 years and 12 years respectively.
Find the value (2x + 9) (7x + 24)
Based on the corresponding angles theorem, since lines m and n are parallel lines, the value of x = -3.
What is the Corresponding Angles Theorem?The corresponding angles that are formed when two parallel lines are intersected by a transversal are congruent, according to the corresponding angles theorem.
Given that lines m and n are parallel lines that are intersected by transversal t, therefore:
2x + 9 = 7x + 24
Solve for x
2x + 9 - 9 = 7x + 24 - 9 [subtraction property of equality]
2x = 7x + 15
2x - 7x = 7x + 15 - 7x [subtraction property of equality]
-5x = 15
-5x/-5 = 15/-5 [division property of equality]
x = -3
Therefore, based on the corresponding angles theorem, since lines m and n are parallel lines, the value of x = -3.
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A model of an aircraft is 3/5 the length of the original plane. The model is 24.96 feet long. How long is the original plane?
If the model is 3/5th of original plane then the length of the original plane is 41.6 feet.
It is given in the question that the model of an aircraft is 3/5th the length of the original plane.
So, Let the length of the original plane be x feet.
According to the question
3/5th of x is 24.96
[tex]x\times\frac{3}{5} =24.96[/tex]
Multiplying both sides by 5
3x=24.96*5
3x=124.8
Dividing both sides by 3
x=124.8/3
x=41.6
Hence , the value of x is 41.6 feet.
Therefore , if the model is 3/5th of original plane then the length of the original plane is 41.6 feet.
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What is 6(4-z)=2z ?
Thanks for the help!
Answer:
z=3
Step-by-step explanation:
2x+4=3x-2 solve for x
Answer:
x = 6
Step-by-step explanation:
2x + 4 = 3x - 2
2x - 3x = -2 - 4
-x = -6
x = 6
Answer:
x = 6
Step-by-step explanation:
We are given this equation:
2x + 4 = 3x - 2
And we want to evaluate the equation for x.
To do this, we need to isolate the variable (x) on one side of the equation.
We can start by putting the numbers on one side.
We can subtract 4 from both sides of the equation to start. Remember that when solving equations, whatever we do on one side of the equation, we need to do it on the other side as well.
2x + 4 = 3x - 2
-4 -4
___________________
2x = 3x - 6
Now, let's put the variables on the other side.
Subtract 3x from both sides.
2x = 3x - 6
-3x -3x
______________
-x = -6
Now, the numbers and variables are on different sides, however we are not done yet, as we need to take care of the negatives, as x shouldn't be negative in this case.
-x is the same as -1x, or -1 * x.
So, in order to get rid of the negatives, we can either multiply or divide both sides by -1.
Let's multiply both sides by -1.
-1(-x) = -1(-6)
x = 6
The value of x is 6.
Determine midpoint of two points using Midpoint Formula
(2,7) and (6, 13).
Answer:
Midpoint are 4,10
Step-by-step explanation:
x midpoint - 4
y midpoint - 10
midpoint formula (x1 + x2)/2 , (y1 + y2)/2
(2+8)/2, (7+13)/2
4,10
Full Explanation
[tex] M = (x_M, \; y_M) [/tex]
[tex] M = \left(\dfrac{x_1 + x_2}{2}, \; \dfrac{y_1 + y_2}{2}\right) [/tex]
[tex] M = \left(\dfrac{2 + 6}{2}, \; \dfrac{7 + 13}{2}\right)[/tex]
[tex] M = \left(\dfrac{8}{2}, \; \dfrac{20}{2}\right)[/tex]
[tex] M = (4, \; 10)[/tex]