Answers
Step-by-step explanation:
such an equation is a simple linear function :
y = ax + b
b is in this case the flat fee, and a (the slope) drives the incline of the function for various numbers of students x.
our job is now to find the correct a and b values.
we do this by using the informative we have and create 2 equations for a and b, and then we solve this system.
132.5 = a×25 + b
145 = a×30 + b
now, we can use a little trick and simply subtract the whole first equation from the second equation.
145 = a×30 + b
- 132.5 = a×25 + b
------------------------------
12.5 = a×5 + 0
5a = 12.5
a = 2.5
with this we go into one of the original equations, e.g. the second one :
145 = 2.5×30 + b = 75 + b
70 = b
so, it full equation is
y = 2.5x + 70
the costs for 85 students are
y = 2.5×85 + 70 = 212.5 + 70 = $282.50
Related Questions
Simplify: [tex]-\sqrt{16x^2}[/tex] if x<0
Answers
Answer:
[tex]$-4x$[/tex]
Step-by-step explanation:
First, let us write this equation into an easier one. We have:
[tex]$-\sqrt{16x^2}=-\sqrt{4^2x^2}$[/tex]
The exponents cancel out with the square root, so we have:
[tex]-4x[/tex]
as our answer.
HOPE IT HELPS :D
PLEASE HELPP IM BEGGING. Which quadrant is point Fin?
A) 1
B) 11
D) IV
Answers
Answer:
in the forth qadritic ( iv) please mark me
Answer:
4th quadrant
Step-by-step explanation:
As point F has coordinates x positive and y negative
it lies in 4th quadrant
Solve for x with 10x+10 and 17x+8
Answers
Answer:
here is the answer
Step-by-step explanation:
Algebraic Proof
Match the justification to each step of the deductive reasoning about this picture. Please Help!
Answers
The following are deductive reasoning for each statement in the algebraic proof given:
1. CD + DE = CE (Segment Addition Postulate)
2. 8 + (3x + 7) = 6x (Substitution)
3. 3x + 15 = 6x (Combining like terms)
4. 15 = 3x (Subtraction Property of Equality)
5. x = 5 (Division Property of Equality)
6. CE = 6(5) (Substitution)
Recall:
The Segment Addition Postulate states that when a point lies between two endpoints on a line segment, the length of the larger segment equals the sum of the lengths of the two smaller segments formed.Thus, the following are deductive reasoning for each statement in the algebraic proof given:
1. CD + DE = CE (Segment Addition Postulate)
2. 8 + (3x + 7) = 6x (Substitution)
Rationale: Plug in the values of CD, DE and CE3. 3x + 15 = 6x (Combining like terms)
Rationale: Add 8 and 7 together4. 15 = 3x (Subtraction Property of Equality)
Rationale: Subtract 3x from each side of the equation.5. x = 5 (Division Property of Equality)
Rationale: Divide each side of the equation by 3).6. CE = 6(5) (Substitution)
Rationale: Plugging in the value of x into "6x"Learn more about Segment Addition Postulate on:
https://brainly.com/question/2134445
what is 24x + 4 = 52
Answers
Answer:
x=2
Step-by-step explanation:
24x=48, x=2 (subtract 4 from both sides)
Answer:
[tex]\bf 24x+4=52[/tex]
[tex]\bf 24x+4-4=52-4[/tex]
[tex]\bf 24x=48[/tex]
[tex]\bf \cfrac{24x}{24}=\cfrac{48}{24}[/tex]
[tex]\boxed{\bf x=2}[/tex]
⊱ ────── {.⋅ ✯ ⋅.} ────── ⊰
What is the answer to n?
Answers
Answer:
n = 108
Step-by-step explanation:
The three medians of a triangle intersect at the same point inside the triangle.
The segment from a vertex to the point in the center is 2 times as long as the
other part of the median line. So OC is 2 times KC.
KC =108
OC = 2(108)
2n + 10 = 216
2n = 206
n = 108
In ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .
What is median of a triangle?" Median of a triangle is defined as the line segment passing the vertex of a triangle and intersect at mid point of its opposite side.Intersecting point of three medians is known as Centroid."
Property used
Centroid divides the median in the ratio of [tex]2:1[/tex] from vertex side.
According to the question,
Given,
In ΔABC,
BL, AM, CK are the medians of a triangle ABC.
'O' represents the Centroid
[tex]KC = 108\\\\OC = 2n +10[/tex]
Ratio of [tex]KC : OC = 3: 2[/tex]
Substitute the value of KC and OC we get,
[tex]108 : (2n + 10) = 3:2\\\\\implies 3 (2n+ 10) = 2(108)\\\\\implies 6n + 30 = 216\\\\\implies 6n = 186\\\\\implies n = 31[/tex]
Hence, in ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .
Learn more about median of a triangle here
https://brainly.com/question/2272632
#SPJ2
Stella is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.75 per mile driven.
Answers
Answer:
and wht is the question?
What is the remainder when you divide 2x3 4x2 - x 3 by x 2?.
Answers
the answer is 5 hope this helps lol
A number b subtracted from seven is greater than eight. What is the sentence as an inequality?
Answers
Answer:
7 - b > 8
Step-by-step explanation:
Directions: Tell whether the following is a quadratic inequality or not.
1. y = 4x2 + 3x + 9 = ____________________________
2. m + 4 > 0 = ____________________________
3. m2 + 3m + 2 < 0 = ____________________________
4. �� ≤ (x - 5) = ____________________________
5. b2 -14b -15 < 0 = ____________________________
6. (4d2-9) + (2d +3) > 0 = ____________________________
7. x > 8x = ____________________________
8. 0 > 2x2 - 262 = ____________________________
9. n2 +4n =21 = ____________________________
10. 15 – 4p ≥ 10p2 = ____________________________
Answers
Anser
(b2 – 4ac). sorry if this doesnt help it doesnt make sense on my screen it shows a weird equation
Step-by-step explanation:
A married couple had a combined annual income of $58,000. The wife made $2000 more than her husband. What was each of their incomes?
Answers
Answer:
Let the income of husband be X
The income of wife will be = X+2000
Combined income of couple will be= (X+2000) + X
= 2X+2000
It is given that combined income of couple is = 58000
Therefore 2X+2000= 58000
2X = 58000-2000
2X = 56000
X= 56000/2 = 28000
Therefore Income of husband is 28,000
and Income of wife = 28000+2000= 30,000
Step-by-step explanation:
equation of the line that passes through the point (4,–5) and is perpendicular to the line y=1/3x+5
Answers
Answer:
y=1/3x+5 hope it helps you
i’ll give you brainliest, thank you sm
Answers
Answer:
C. (2,7)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
In order to find which ordered pair makes the equation true, we have to understand that the format of a coordinate pair is (x, y)
Knowing that, we can plug in the numbers from each coordinate pair that correspond to the x and y values of the equation
For instance, for A (-1, 5) we would plug in 5 for x and -1 for y
Now we have -1 = 3(5) + 1
Multiply 3 and 5
-1 = 15 +1
Add
-1 = 16
The numbers on each side are not equal so this is not the answer
Now for B (10,3)
We do the same thing, plug in the numbers
3 = 3(10) + 1
Multiply
3 = 30+1
3 = 31
This choice is false as well
Option C (2, 7)
Plug in the numbers
7 = 3(2) + 1
Multiply
7 = 6+1
Add
7 = 7
Thus C is the answer as it is the same number on both sides~!
Hope this helpsss! :D
angle x and angle y are complementary angles. angle x is eight times larger than angle y. what are the measurements of angle x and angle y?
Answers
Answer:
x=80
y=10
Step-by-step explanation:
Is the set (3,1),(6,4),(9,7),(12,10) a function? Explain how you know
Answers
since there is one value of Y for every value in ask this relation is a function
An electronics retailer sells a washing machine at cost price (how much the retailer paid for it) of $400 with a profit of 20%. What price does the customer pay?
Answers
Answer:
$480
Step-by-step explanation:
400 × .20 = 80
the retailer got an extra 20% or $80 for the machine.
$400 + $80 = $480
The customer paid $480 for the washing machine.
Help with Math will give Brainless to people who get it write the test shows me!!!
Answers
Answer:
(2,1)
Step-by-step explanation:
Divide by 3
(6,3)/3 = (2,1)
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answers
Answer:
x ≈ 54.5°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{50}{86}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{50}{86}[/tex] ) ≈ 54.5° ( to the nearest tenth )
Walter used the iterative process to determine that âš13 is between 3. 61 and 3. 62. Analyze Walter’s estimation. Is he correct? If not, what was his mistake? Yes, Walter is correct. No, 3. 612 is less than 13. No, both 3. 612 and 3. 622 are greater than 13. No, both 3. 612 and 3. 622 are less than 13.
Answers
Iterative is used when the equations cannot be solved simply.
The given value is put in the equation to solve.
Walter estimation is incorrect.
No, both 3. 61^2 and 3. 62^2 are greater than 13.
First he checks that is 13 between 3.61 and 3.62.
But suppose he cannot because he wants to use iteration.
Suppose he squares both the numbers 3.61 and 3.62 to determine if 13 is between the two numbers.
3.61² = 13.0321 and
3.62² =13.1044
We see that when both the numbers are squared then the answer in each case is greater than 13.
Therefore 13 cannot lie as both numbers are greater than 13.
Hence 13 does not lie between 3.61 and 3.62
From the given choices the best choice is No, both 3. 61^2 and 3. 62^2 are greater than 13.
The iterative can also be understood by the following links.
https://brainly.com/question/5236989
https://brainly.com/question/20275487
A. x=68. y= 75
B. x= 75. v = 68
C. x= 40, y = 68
D. x= 75. y = 70
Answers
Answer:
the answer is B. x=75 y=68
Answer:
B. x = 75, y = 68
Step-by-step explanation:
When 21 is subtracted from the square of a number, the result is 4 times the number.
Find the positive solution.
Answers
Answer:
7
Step-by-step explanation:
7^2 =49
49 -21 =28
28÷7 = 4
Write a linear equation that describes the problem.
Answers
What problem. You didn't attach anything or put it in the question.
You estimate the weight of an apple to be 6 ounces. The actual weight of an apple is 4 ounces. What is your percent error?
help
Answers
Answer:
150%
Step-by-step explanation:
I hope this helps
Write seven million two thousand five hundred in standard form
Answers
Answer:
Seven million two thousand five hundred in standard form is 7002500
Answer:
Step-by-step explanation:
In words=7,002,500
In standard form:
7.0025×[tex]10^{6}[/tex]
If you need to ask any questions, please let me know.41 divided by 533 estimate it and its long division and I have to find the R
Answers
Answer:
12 R20
Step-by-step explanation:
changed 41 to 40 and 533 to 500. work is in file above.
What is 2 and 2/3 x 5
Answers
Answer:
13 and 1/3
Step-by-step explanation:
2×5=10
2/3 ×5 =10/3
10/3 simplifies to 3 and 1/3
Add them together to get 13 and 1/13
Plz help fast I will mark Brainlyist
Answers
Can u give me a brainliest answer??
m
Hope it helpes!!!
what is -7/12 divide 1/7?
PLZ show work!!!!
Answers
Answer:
Step-by-step explanation:
When dividing two fractions you would turn the divisor into its reciprocal then multiply. So -7/12 divided by 1/7 would be equal to -7/12 multiplied by 7/1 (7/1 is the reciprocal of 1/7)
-7/12 divided by 1/7 =
-7/12 multiplied by 7/1=
-49/12
Simplify.
I need help with finding the slope.
Answers
Answer:
The slope is -2
Step-by-step explanation:
A cyclist travels 9.6 km in 30 minutes. What is his average speed in km/h?
Answers
Answer:
[tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]
Step-by-step explanation:
Average speed = distance/time
Average speed = [tex]\frac{9.6}{30} \frac{km}{min}[/tex] ; multiply by 60min/1hour
Average speed = [tex]\frac{95}{5} \frac{km}{hour}= 19.2 km/hour[/tex]