Answer:
$80
Step-by-step explanation:
DJ Dan's hourly rate will be $80.
What is equation modelling? What is a mathematical equation and expression? Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup fee. the total cost is $405.
Assume that the hourly rate is $[x]. Than, we can write -
3.5x + 125 = 405
3.5x = 405 - 125
3.5x = 280
x = (280/3.5)
x = 80
Therefore, DJ Dan's hourly rate will be $80.
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Find the zeros of the function.
Enter the solutions from least to greatest.
g (x)=(-5x -1)(2x +8)
lesser x =
greater x =
Answer:
[tex]x=-4,\:x=-\frac{1}{5}[/tex]
Step-by-step explanation:
The zeroes of the function [tex]g(x)=(-5x-1)(2x+8)[/tex] can be found by setting [tex]g(x)[/tex] to [tex]0[/tex], then solving for [tex]x[/tex]:
[tex](-5x-1)(2x+8)=0[/tex]
When either term is [tex]0[/tex], the equation is true. Therefore we have two cases:
[tex]\begin{cases}-5x-1=0,\: -5x=1, \:\fbox{$x=-\frac{1}{5}$}\\2x+8=0,\:2x=-8,\:\fbox{$x=-4$}\\\end{cases}[/tex]
Form the given function lesser x value is -4 and the greater x value is -1/5.
What are the zeros of a function?The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.
The given function is g(x)=(-5x -1)(2x +8)
Now, (-5x -1)(2x +8)=0
(-5x -1)=0 and (2x +8)=0
-5x=1 and 2x=-8
x=-1/5 and x=-4
Therefore, form the given function lesser x value is -4 and the greater x value is -1/5.
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brainliest if its correct
expand and simplify (2x+5)2
Question 6 of 10
sin(7pie/6)=
Answer:
-0.5
Step-by-step explanation:
I just added it into my calculator
Use the information below go answer the three questions.
In a certain city in France, they gain 2 minutes of daylight each day after the spring equinox (usually in March), but after the autumnal equinox (usually in September) they lose 2 minutes of daylight each day.
Answer:
Answer for the first question is D
Step-by-step explanation:
^^^^^
Find the smallest non-zero whole number which can be multiples by 112 to give a cube number
Answer is : Step-by-step explanation:
Given Find the smallest non-zero whole number which can be multiplied by 112 to give a square number and a cube number.
So cube root of 21,952 will be 28.
Reference link will be.
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hope it helps
Answer:
176.
Step-by-step explanation:
112 = 2*2*2*2*7
For a cube number there must be 3 or a multiple of 3 of each factor.
So we multiply by 2*2 and 7 * 7 to give 2^6 * 7^3 which is 21952.
The answer is 4*49
= 176.
Checking that 21952 is a cube:
- the cube root is 28,
The price of a ski pass decreased by $3 per month over a 6-month period. What is the
total change during this period for the price of the pass?
Answer:
18 (a)
Step-by-step explanation:
but I hope it works
A concession stand charges $2.50 for a bag of popcorn. The stand has already sold 30 bags of popcorn. How many more bags x of popcorn must be sold to earn at least $110? Write your answer as a inequality Pls help me :(
Answer:
The concession stands needs to sell 14 or more bags.
Step-by-step explanation:
Given that:
Cost per bag of popcorn = $2.50
Number of bags already sold = 30
Cost of 30 bags = 30*2.50 = $75
Bags needs to be sold to make $110 = x
2.50x + 75 ≥ 110
2.50x ≥ 110-75
2.50x ≥ 35
Dividing both sides by 2.50
[tex]\frac{2.50x}{2.50}\geq \frac{35}{2.50}\\x\geq 14[/tex]
Hence,
The concession stands needs to sell 14 or more bags.
When plotting points on the coordinate plane below, which point would lie on the x-axis?
Answer:
If you plot the points you can easily find the answer. (X,Y) The x-axis is the horizontal line and the y-axis is the vertical line.
Step-by-step explanation:
Mark me as brainlist
Find the quotient.
140 ÷ 10
Answer:
14
when you divide a whole number and its in the 100's, take away the last number and thats your answer for example,
320 divided by 10 equals 32, anyways have a nice day.
Step-by-step explanation:
Tammy's allowance is $5.00. She did extra chores around the house and earned an
extra $1.75. She goes to the store with her older sister and buys an ice cream for
$2.25. On her way home she finds $1.00. How much money does Tammy have?
Answer:
5.50 this should help :p
Write the ratio as a fraction in simplest form with whole numbers in the numerator and denominator 16 cm to 20 cm
The solution is 4 : 5
The ratio of the fraction is 4 : 5
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first number be A
Now , the value of A is = 16 cm
Let the second number be = B
The value of B is = 20 cm
The ratio of A and B is calculated as C
where C = A / B
A goes to the numerator of the fraction and B to the denominator
Substituting the values in the equation , we get
C = A/B
C = 16/20
On simplifying the equation , we get
C = 4/5
Therefore , the value of C is 4 : 5
Hence , the value of equation is 4 : 5
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Which function is graphed below?
Exponential Function.
[tex]y = {a}^{x} \: \: (a > 0) \: \: (a≠1)[/tex]
Also the shown graph is a decreasing graph.
[tex]y = {a}^{x} \: \: (0 < a < 1)[/tex]
The equation above is the equation of the graph that is shown in the picture.
Match each graph with its slope.
Answer:
(Method: rise/run)
1. 1/3
2. 3
3. 1
4. 2
help plz plz plz plz
Answer:
2.8 In is the answer to the question
Step-by-step explanation:
Nw+WD=ND
The rectangle to the right has width 6x5 feet and length 9x8 feet. Find its area as
an expression of x.
Answer:
54x¹³Step-by-step explanation:
area = L x W
where L = 9x⁸
W = 6x⁵
plugin values into the formula:
Area = 9x⁸ * 6x⁵
= 54x¹³
The area of the rectangle as an expression of x is [tex]2160x^3[/tex] square feet.
To find the area of the rectangle, we can use the formula for the area of a rectangle, which is:
Area = length × width
Given that the width is 6x5 feet and the length is 9x8 feet, the area of the rectangle is:
Area = (9x8) × (6x5)
To simplify the expression, multiply the coefficients and combine the variables:
[tex]Area = 54x^2 * 40x[/tex]
Now, multiply the coefficients:
[tex]Area = 2160x^3[/tex]
So, the area of the rectangle as an expression of x is [tex]2160x^3[/tex] square feet.
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please help me understand
Answer:
x=4
y=6
Step-by-step explanation:
We need to find value of x and y if RS bisects AB and RS = 28
We are given: RS = 28
and We can see from figure that: RT= 3y-7 and TS = 2y+5
And we can observe that RT + TS = 36
So, putting all the values, we can find value of y
[tex]3y-7+2y+5=28[/tex]
Solving this equation, will find value of y
[tex]3y+2y+5-7=28\\5y-2=28\\5y=28+2\\5y=30\\y=\frac{30}{5}\\y=6[/tex]
So, we get value of y: y=6
Now, we also know that RS bisects the line AB. It means it divides both the lines equally.
So, we can write: AT = TB
Putting values we can find value of x
We have AT = 4x-2
TB = 4y+2
and y =6
[tex]4x-2 = 4y+2\\4x-2=4(6)+2\\4x-2=12+2\\4x=14+2\\4x=16\\x=\frac{16}{4}\\x=4[/tex]
So, we get value of x: x=4
Find the values of y
Y squared = 169
Answer: 13
Step-by-step explanation:
13 times 13 is 169!
Good luck!
A computer store buys a computer system at a cost of $487.20. The selling price was first at $812, but
then the store advertised a 30% markdown on the system. Answer parts a and b.
a. Find the current sale price.
The sale price is $0
Round to the nearest cent as needed.)
NEEED HELP ASAP
Answer: a. The sales price $568.40
b.the price for the club members is $511.56
Step-by-step explanation: I have no idea I got it wrong on porpoise to get the correct answer for u
you don't have to look at this
Answer:
But i did :-)
Step-by-step explanation:
Have A Wonderful Day !!
A bear cub walks
5/6 miles in 5/12
age
hours. What is its
speed in terms of miles per hour?
Answer:use math(way
Step-by-step explanation
It help
Answer: 2 miles per hour
Step-by-step explanation: Reduce the common factor which would be 5 and then you divide and you get 2
11. The poll wanted to announce a separate conclusion about the percent
who favor school prayer among those who identify themselves as
evangelical Christians. This group was a portion of the original group.
What can you say about the margin of error for this conclusion? Explain
your answer.
Answer:
The ratio of 6th grade students who play soccer to students who play basketball is 4:3. If there are 56 6th graders, how many play basketball?
Step-by-step explanation:
can you please help me
Which triangle would be congruent to the original using a reflection over the x-axis
a.
b.
c.
d.
The area of the rectangle is 5 times the triangle
Don't know what you mean
Is this question -true or false- I dont know
Answer: FALSE
Step-by-step explanation:
3.
If the volume of cylinder of height 7 cm is 448 cm², then the total surface area of cylinder is
(1) 2041 cm?
(2) 2241 cm?
(3) 2481 cm?
(4) 240 cm?
Answer:
A = 240π cm²
Step-by-step explanation:
Given that,
Height of a cylinder, h = 7 cm
Volume of the cylinder, V = 448π cm³
We need to find the total surface area of the cylinder.
The formula for the volume of the cylinder is given by :
[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V\pi }{\pi h}} \\\\r=\sqrt{\dfrac{448\pi }{\pi \times 7}} \\\\r=8\ cm[/tex]
The formula for the total surface area of the cylinder is given by :
[tex]A=2\pi r(r+h)\\\\A=2\pi \times 8\times (8+7)\\\\A=240\pi \ cm^2[/tex]
So, the total surface area of the cylinder is 240π cm².
Is the following relation a function?
Y = 3x
Answer:
Yes
Step-by-step explanation:
If you subsitute for x, x will only repeat if it has the same y value.
Yes, The given relation is a function.
Here,
The relation is given as; Y = 3x
We have to find the given relation is a function or not.
What is Function?
A relation is said to be function if there is exactly one value for each value of y.
Now,
The given relation is,
Y = 3x
When, we put x = 1 then y = 3
And, when x = 2 then y = 6 and so on.
Clearly, there is exactly one value of x for value of y.
So, The given relation is a function.
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Someone plz help me T^T
PLS HELP
What is the answer to the proportion you set up in the last problem? Type ONLY the number in the box
Answer:
4
Step-by-step explanation:
z = [tex]\frac{6}{15}[/tex] × 10
= 4
what is the equation of the line in the graph?
Answer:
y=-1x-2
Step-by-step explanation:
hope it helps ^^
Answer:
y = -x - 2
Step-by-step explanation:
Since we have a straight, linear line, the line follows the y = mx + b format
The line moves one unit down for every unit to the right, making m = 1
Since the line has a downward slope, m = -1
Since the line crosses the y-axis at -2, b = -2
Therefore, the equation is y = -1x - 2 or more simplified, y = -x - 2
