A market research survey has 15 questions and will be sent to 500 people. What is the total cost to conduct the survey if it has a $1,000 base fee plus $5 per question and $2 per person surveyed?
Answer:
Total cost to conduct survey = $2075
Step-by-step explanation:
Given that:
Number of questions on survey = 15
Number of people = 500
Base fee = $1000
Per question charge = $5
Per person surveyed = $2
Let,
q be the number of questions
p be the number of people
Total cost = Base fee + 5q + 2p
Total cost = 1000 + 5(15) + 2(500)
Total cost = 1000 + 75 + 1000
Total cost = $2075
Hence,
Total cost to conduct survey = $2075
What is this answer?
Answer:
The answer is (-1,-10)
hope this helps
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
D. (-1, -10)
Step-by-step explanation: I put your question into a math calculator and got this as your answer. Good luck!
find an equation in standard form of a parabola passing through the points below
(1,-1),(5,31),(6,44).
Answer:
Basic parabola: y = ax2 + bx + c
We have 3 points we can plug in for (x, y) to create 3 simultaneous equations
(-2, 24): 24 = 4a - 2b + c {equation 1}
(3, -1): -1 = 9a + 3b + c {equation 2}
(-1, 15): 15 = a - b + c {equation 3}
Solve this system to find the values of a, b, c
Let's first eliminate variable c:
4a - 2b + c = 24 {equation 1}
a - b + c = 15 {equation 3}
--------------------- subtract
3a - b = 9
9a + 3b + c = -1 {equation 2}
a - b + c = 15 {equation 3}
-------------------- subtract
8a + 4b = -16
We now have two equations with 2 unknowns we can use to find a, b
3a - b = 9 {equation 4}
8a + 4b = -16 {equation 5}
Multiply equation 4 through by 4 and add equations
12a - 4b = 36
8a + 4b = -6
----------------- add
20a = 30
a = 30/20
a = 3/2
8a + 4b = -6
8(3/2) + 4b = -6
12 + 4b = -6
4b = -6- 12
4b = -18
b = -18/4
b = -9/2
Plug these 2 values into one of the original equations and solve for c
15 = a - b + c {equation 3}
15 = 3/2 + 9/2 + c
15 = 12/2 + c
15 = 6 + c
c = 15-6
c = 9
y = (3/2)x2 - (9/2)x+ 9
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Step-by-step explanation:
What is the value of X what is the measure of 2 PLEASE HELPPP
Answer:
x = 11 , m∠2 = 31
Step-by-step explanation:
We know that m∠1 is equal to both 6x+8 and 74
Therefore, 6x+8 = 74
And 6x = 66
x = 11
To find m∠2, we just plug in the value of x that we got earlier
(7x-2) + m∠2 = 106
(77-2) + m∠2 = 106
m∠2 = 31
Mr.Klein's class is selling candy for a fundraiser. The class has a goal of raising $450 for selling (c) boxes of candy. Each box of candy costs $3.75.
Answer:
so since their goal is to get $450 and each candy box is $3.75, what you do is divide $3.75 by $450 you will get $120, soooooooooooooooooooooooooooo you times $3.75 by $120 you will get $450.
Step- by-step explanation:
A bag contains 3 red marbles and 5 blue marbles.
Find the probability of drawing a blue marble,
keeping it, and drawing another blue marble. Write
the probability as a fraction in simplest form.
A rectangular field is 10m longer than wide. The area of the field is 2000m². Find the perimeter of the field.
Answer:
180m
Step-by-step explanation:
Let L = length of field,
W = width of field,
A = field area = 2000 m^2
Lenght = Width + 10m
Let Lenght= x
Width=y
A = X ×Y = (Y + 10)Y= 2000
Y^2 + 10Y- 2000 = 0
Solving using Quadratic eqn with plot
Y= 40 or -50 but we go for the positive root
Width=40m
Length= 40m +10m
= 50m
Perimeter= 2(l+w)
=2(50+40)
180m
Hence, the perimeter is 180 m
CHECK THE ATTACHMENT FOR THE QUADRATIC PLOT
HELP ASAP
simplify the expression-3÷(-2/5)
Answer:
7.5
Step-by-step explanation:
jacorey works at an animal shelter. He is responsible for 96 dogs and cats today. The number of dogs is six more than twice the number of cats. how many dogs are at the shelter today?
find the value of x.
Answer:
X= 20 degrees
Step-by-step explanation:
Because all the sides are the same length, we know this triangle is an equilateral triangle. In an equilateral triangle, all the angle measures are the same as well, and the sum of all the angles in a triangle is 180 degrees. So we have the equation:
(3x)3= 180
9x= 180
X =20
Alex is a stockbroker. Earns % commission each week. Last week, sold $ worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did he make in commission in 2011?
Answer:
a. $896
b. $46,592
Step-by-step explanation:
a. Alex earns 14% of the amount of stock he sells in a week.
The week before he sold $6,400. This means that his earnings in commission are:
= 14% * 6,400
= $896
b. Commission for the year:
If he makes $896 per week, there are 52 weeks in a year. Per year he would make:
= 896 * 52
= $46,592
A worm squiggles 10 cm in 5 minutes. What was it average speed
If J M = 9 and K M = 4 , what is the approximate perimeter of Δ J K L ? 26.2 26.2 29.8 29.8 31.0 31.0 31.7
Answer:
Correct option is (a)
Step-by-step explanation:
According to question in the triangle ΔJKL
JK = 9 and KL =4
according to the condition of triangle sum of two sides must be greater than the third side
Here sum of its two sides is 9 + 4 = 13
⇒ third side must be greater than 13 say 13.2 = JL
therefore, perimeter of triangle ΔJKL is
JK + KL + JL = 9 + 4 + 13.2 = 26.2
Therefore correct option is (a)
Graph y-3>-12 on a number line please
15 points !
Answer:
put a circle, *fill it in, on -9
then, make it pointed towards the right
Step-by-step explanation:
What expression can be used to determine the total cost of buying g pounds of granola for $4.85 per pound and s pounds of sugar for $0.83 per pound?
Answer:
The expression y = 4.85g + 0.83s can be used to determine the total cost.
Step-by-step explanation:
Given that:
Cost per pound of granola bars = $4.85
Cost per pound of sugar = $0.83
Let,
y be the total cost.
According to given statement;
y = 4.85g + 0.83s
Hence,
The expression y = 4.85g + 0.83s can be used to determine the total cost.
Find the opposite of integer of 10
Hey there!
• Fact/ Guide: The OPPOSITE of POSITIVE is NEGATIVE and OPPOSITE of NEGATIVE is POSITIVE, so this makes your answer a NEGATIVE since it’s the OPPOSITE of POSITIVE
• –10 is the OPPOSITE of 10
Answer: –10☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Random Note ⬇️
• NEGATIVES are BELOW 0
• POSITIVES are ABOVE 0
if g(x) =x -7, what if the value of x when g(x) =6
Answer:
x=13
Step-by-step explanation:
1. Place 6 in
6=x-7
2. Evaluate
x=6+7
x=13
the two triangles shows the congruent ABC LMN. based on this information which of the following is a true statement
Answer:
It's D I think.... Line up B and C with M,N
f(x) = 2x² + x at (-1, 1)
Answer:
[tex]f(x) = 2 {x}^{2} + x \\ at \: that \: point \: given \: \: x = - 1 \\ f(x) = 2 {( - 1)}^{2} + ( - 1) \\ f(x) = 2 - 1 \\ f(x) = 1[/tex]
5.Footlocker buys Air Jordans for $30 a pair. They mark it up 75%. How much is the mark-up on a pair of Air Jordans
If you buy a pair of Air Jordans as mentioned in question #5, how much would you end up paying? (Hint: original amount + mark-up amount)
Answer:
$52.50
Step-by-step explanation:
What you do is you move the decimal two times to the left from 75%.
0.75*?=?
Take the orginal price and multiply ($30) by 0.75.
0.75*30= $22.50
Take 22.50 and add that to your original amount.
$22.50+$30= $52.50 or $52.5
The lowest temperature ever recorded in the United States was -62 degrees Celsius, in Prospect Creek Camp, Alaska. The average temperature on Mars is about -55 degrees Celsius.
Which is warmer, the coldest temperature recorded in the USA, or the average temperature on Mars? Explain how you know.
Write an inequality to show your answer. Check your work with the video when you are ready.
Answer:
United States
Step-by-step explanation:
-62 < -55?
Because on the number line, -62 is farther left than -55.
please help fast will mark brainliest
Answer:
(2,6)
Step-by-step explanation:
Hope this helps!
Answer:
x = 2; y = 6
Step-by-step explanation:
y=3x
x+y=8 [substitute y for 3x]
x+3x=8; 4x=8; x=2
if x=2, y=3x or y=3(2) = 6
what is -12.41 - (-9.95)?
Answer:
-2.46
Step-by-step explanation:
-12.41+9.95=-2.46
On Monday, Vanessa and Ishaan decided to see how fast they could sprint 200 meters. They asked their friend, Luis, to time them with a stopwatch.
Vanessa sprinted first and ran 200 meters in 54.91 seconds. When it was Ishaan's turn, he sped off and completed the run in 46.07 seconds.
How much faster was Ishaan than Vanessa?
Answer: seconds faster
Answer:
22
Step-by-step explanation:
Can you anser the question number 7
Answer:
Length of rectangle = 64 inches
Width of rectangle = 32 inches
Step-by-step explanation:
Perimeter of rectangle = 192 in
Length = x
Width = [tex]\frac{1}{2}x[/tex]
We need to find the length and width.
The formula used is: [tex]Perimeter\:of\:rectangle=2(Length+Width)[/tex]
Putting values and finding value of x
[tex]Perimeter\:of\:rectangle=2(Length+Width)\\192=2(x+\frac{x}{2} )\\192=2(\frac{2x+x}{2} )\\192=2(\frac{3x}{2} )\\192=3x\\x=\frac{192}{3}\\x=64[/tex]
So, we get x = 64
The length of rectangle x = 64
The width of rectangle = [tex]\frac{1}{2}x[/tex] = [tex]\frac{64}{2} = 32[/tex]
So, Length of rectangle = 64 inches
Width of rectangle = 32 inches
Answer:
Length of rectangle = 64 inches
Width of rectangle = 32 inches
Step-by-step explanation:
I need help, I’ve been trying to figure out answers and I’m not getting anywhere is there anyone who could help me with (work shown)
Andre says that 1/4 is less than -3/4 because, of the two numbers, 1/4 is closer to 0. Do you agree? Explain your reasoning.
Answer:
Andre is wrong
Step-by-step explanation:
Andre is wrong because 1/4 is a positive number and -3/4 is a negative number so that makes Andre wrong for that, but if it is who is closer to 0 then Andre is right because when you look at it on a table you can see that 1/4 is closer.
PLEASE ANSWER I NEED HELP
Kayla gets paid $15 to rake the lawn. Kayla gets paid 3 times as
much to rake the lawn as she does to mow the lawn. How much
does Kayla get paid to mow the lawn?
Answer:
$5
Step-by-step explanation:
The opposite of multiplication is division.
$15/Raking = 3 times more pay than mowing the lawn.
Divide $15/Raking by 3 and you'll get the pay for mowing the lawn.
15/3 = 5
Answer:
5
Step-by-step explanation:
I need help with Geometry
9514 1404 393
Answer:
(5, 1)
Step-by-step explanation:
Reflection across the x-axis negates the y-coordinate:
(x, y) ⇒ (x, -y) . . . . reflection across the x-axis
Rotation 90° CCW is the transformation ...
(x, y) ⇒ (-y, x) . . . . rotation 90° CCW
The two transformations together give ...
(x, y) ⇒ (y, x) . . . . reflection across the x-axis, then rotation 90° CCW
For point B, this gives ...
B(1, 5) ⇒ B'(5, 1)
6 boy students make up 24% of the total class how many total students are in class
Answer:
There are 25 students in the class.
Step-by-step explanation:
1. Set up an equation. The equation would be 6 = 24/100x.
2. Solve the equation. You can solve this by multiplying both sides by 100/24, and 100/24 * 6 = 25. You would then get that x = 25, which means that the number is 25.
Answer:
25 students
Step-by-step explanation:
25 x 0.24 = 6