Answer:
C(n) = 200 + 2n
Step-by-step explanation:
Given:
Fixed cost state by printing company = $200
Variable charges per book print = $2
Find:
Cost function of number of books print
Computation:
Assume:
Number of books printed = n
Total cost of n books printed = Fixed cost state by printing company + Variable charges per book print[Number of books printed]
C(n) = 200 + 2n
Where n = number of book
C = Total cost
Jaleel's total cost as a function of the number of books he print is [tex]c = 2n + 200[/tex] (in dollars)
How to form mathematical equations from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.
If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions or equations.
For the considered case, we don't know exactly how many books will Jaleel gets printed. So we can use variable here.
Let we have:
n = number of books Jaleel gets printed.c = total cost Jaleel has to pay for printing those booksThen, as stated in the problem, for each book there is $2 price, and there is a fixed one-time charge of $200
Thus, we get total cost as:
c = Cost for n books + Fixed one-time cost.
Cost for n books = 2 + 2 + ... + 2 (n times ) (in dollars) = [tex]2n[/tex](we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)
Fixed one-time cost = $200Thus, total cost is written as:
c = Cost for n books + Fixed one-time cost.
c = 2n + 200 (in dollars)
Learn more about forming equations here:
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What is the graph of y <= 5x + 2?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The graph for the given inequality will be A
[tex]y \leqslant 5x + 2[/tex]A total of $8000 is invested: part at 5% and the remainder at 13%. How much is invested at each rate if the annual interest is $730?
Answer:
$3875 at 5%
$4125 at 13%
Step-by-step explanation:
Let x = amount invested at 5%.
Let y = amount invested at 13%.
x + y = 8000
0.05x + 0.13y = 730
Solve the first equation for x and sustitute into the second one to solve by the substitution method.
x = 8000 - y
0.05(8000 - y) + 0.13y = 730
400 - 0.05y + 0.13y = 730
0.08y = 330
y = 4125
x = 8000 - 4125
x = 3875
Answer:
$3875 at 5%
$4125 at 13%
Use the hundredths grid to answer the question.
A 10 by 10 grid is shown. 3 columns and 6 squares are red. 2 columns and 7 squares are blue.
Which of the equations is shown by the shaded area of the model?
A.
0
.
29
+
0
.
37
=
0
.
63
B.
0
.
34
+
0
.
23
=
0
.
57
C.
0
.
36
+
0
.
27
=
0
.
63
D.
0
.
24
+
0
.
33
=
0
.
57
9514 1404 393
Answer:
C. 0.36 +0.27 = 0.63
Step-by-step explanation:
3 columns and 6 squares of a hundredths grid is a representation of ...
0.30 +0.06 = 0.36
2 columns and 7 square is a representation of ...
0.20 +0.07 = 0.27
The total shaded area is the sum of these:
0.36 +0.27 = 0.63
If the temperature is 30, what is the temperature in Fahrenheit?
Answer: 86
Step-by-step explanation:
Answer:
It will be 86.0 Fahrenheit
Step-by-step explanation:
4x + 16 ≤ 74 solve the inequality and show your work
Answer:
x ≤14.5
Step-by-step explanation:
4x+16≤74
Subtract 16 from the 74 and that gives you 58
Then divide each side by 4. 58/4=14.5
Hope this helps! sry if I get it wrong! :(
Answer: x ≤ 29/2
Explanation:
Subtract 16 from both sides
4x + 16 - 16 ≤ 74 -16
Simplify
4x ≤ 58
Divide both sides by 4
4x/4 ≤ 58/4
Simplify
x ≤ 29/2
PLS STOP DELITING FOR NO REASON I NEED HELP.
Answer:
They both go to equivalent
Step-by-step explanation:
The table represents a proportional
relationship between x and y. Find the value
of y when x = 38.
20
22
24
26
28
5
5.5
6
6.5
7
The value of y when x = 38 would be 9.5
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Given that table represents a proportional relationship between x and y.
we just need to solve for the slope
Therefore,
k = x/y
k = 20/5
k = 4
when x = 38
y = 1.5x
y =(1.5) 38
y = 9.5
The value of y when x = 38 would be 9.5
More can be learned about proportions at;
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Translate the sentence into an equation.
Two times the sum of a number and 4 equals 9.
Use the variable y for the unknown number.
Answer:
The equation for this sentence is: 9 = 2(4y)
Answer:
2(y + 4) = 9Step-by-step explanation:
Two times the sum of a number and 4 equals 9:
2(y + 4) = 9Help please fast the format is Y-____=_____(x - ____) and i need the actual answer
9514 1404 393
Answer:
y -195 = 15(x -9)$60Step-by-step explanation:
The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...
y -195 = 15(x -9)
__
The "one-time fee" is the cost when hours are zero.
y -195 = 15(0 -9)
y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate
The one-time fee is $60.
Lauren invest $8000
Answer:
what are you wanting
Step-by-step explanation:
Can anyone please help me
9514 1404 393
Answer:
(a) f(3) < g(3)
Step-by-step explanation:
Put the number where the variable is and do the arithmetic.
f(3) = 4·3³ = 4·27 = 108
g(3) = 3·4³ = 3·64 = 192
108 < 192
f(3) < g(3)
The tape diagram represents the ratio of the time you spend tutoring to the time your friend spends tutoring. You tutor for 3 hours. How many hours does your friend spend tutoring?
You
Friend
Answer:
15 Hours
Step-by-step explanation:
So you have one block, and your friend has two.
We know that you work for 3 hours, this means that your only block must represent 3 hours.
And all the blocks represent the same amount of time, then each one of the two blocks of your friend also represents 3 hours.
Then in total, he tutored for 3 hours + 3 hours = 6 hours.
Therefore, you still have only one block, but now your friend has 5.
Using the same reasoning as above, we can conclude that each block represents 3 hours, and your friend has 5 of them, this means that he tutored for:
5*3 hours = 15 hours
I got 445.1 as the answer because it says round to the nearest tenth so 446 is wrong. is 445.1 right ?
Answer:
yes your correct
Step-by-step explanation:
Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound, and
almonds cost $5.25 per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario
use for the mixture to cost $6.50 per pound to make?
Answer:
Marcario should use 4 pounds of macadamia nuts and 8 pounds of almonds.
Step-by-step explanation:
Marcario should use 4 pounds of macadamia nuts and 8 pounds of almonds. Explanation given cost of macadamia nuts per pound=$9
cost of almond nuts per pound=$5.25
cost of the mixture per pound=$6.5
total pounds of the mixture to be made=12
let the pounds of macadamia nuts=x
pounds of almond nuts=y
total pounds of nuts=x+y= 12
x + y = 12(1)
9x +5,25y = 6.5(x+y)
9x+5.25y=6.5*12
9x+5.25y=78(2)
solving (1) and (2)
x=4 y=8
At birthday Party girls ate 7 3/4
pizzas and the boys ate 2 1/2 pizzas. How many pizzas were eaten at my party?
Answer:
10 1/4
Step-by-step explanation:
2 1/2 = 5/2
5/2 (2/2)= 10/4
7 3/4 = 31/4
10/4+31/4=41/4
41/4 = 10 1/4
Jasmine is solving this equation. What value of x makes Jasmine's equation true?
x/4 = 9
Answer:
The value of x that makes Jasmine's equation true is 36, because 36 / 4 = 9.
Step-by-step explanation:
brainliest please. . .
PLEASE HELP ME AND HURRY TOO NO LIBKS PLEASE I WILL GIVE BRAINLIEST
Answer:
[tex] {(5 - ( - 2))}^{2} = {(5 + 2)}^{2} = 7 \times 7 = 49 \\ 49 \times ( - 3) = - 147[/tex]
Help ASAP please!!!!!!
What is 39,800,000 in scientific notation?
Answer:
3.98 x 10 to the power of 5
Step-by-step explanation:
Mark me brainleist if this is correct!
Ross sold b boxes of cookies, and gabby sold 35 boxes of cookies. Together they sold a total of 69 boxes of cookies
Cody buys a baseball bat for $164.50 and a baseball glove for $37.25. He estimates the total cost of the bat and glove by rounding each cost to the nearest $10. Drag numbers to the boxes to show how Cody rounds the costs.
164.50+37.50= 201.75
gtu
At my birthday party, the girls ate 3 1/2 pizzas and the boys at 5 1/4 pizzas. How much more pizza did the boys eat than the girls?
Answer:
2 1/4 pizzas
Step-by-step explanation: 5 - 3 =2 so put 2 then 1/2-1/4= 1/4 so 2 1/4
PLZ HELP ASAP! Solve the following equation for x: 4x + 12y = -24
Answer:
This is impossible
Step-by-step explanation:
Answer: x= -6 - 3y
Step-by-step explanation:
You start at (5, 7). You move down 1 unit and left 5 units. Where do you end?
Answer:
(0, 6)
Step-by-step explanation:
5, 7
x, y
5, 7
-5 -1
---------------
0,6
Determine the unknown angle measures in the figure
Answer:
angle 3- 131
angle 2- 112
angle 5- 37
angle 1- 80
angle 4- 80
hope this helps :)- please crown me brainliest!!!
Step-by-step explanation:
<2 ( exterior angle ) , and exterior angle is the sum of two opposite interior angle;<2=63°+49°= 112°.
<5= 180°-31°-112°= 37°<1+<5+63°= 180° = <1=180°-63°-37°= 80°<1=<4(vertically opposite angle) = 80°.<3+49°=180°(linear pair) = <3= 180°-49°= 131°.hope this helps you.
Convert 60 Litres to gallons
Answer:
15.18
Step-by-step explanation:
Carry on learning:)))
Proof Hexagon:
Hey, I'm a German 11th grader and we currently have a tough geometry question: The centers A, B, C of three congruent circles that have no common points do not lie on the same straight line. From points A, B, C, the six tangents shown in the figure are placed on the circles that enclose a convex hexagon.Prove: The sums of the lengths of three pairs of not immediately adjacent sides of this hexagon are equal, i.e. | PQ | + | RS | + | TU | = | QR | + | ST | + | UP |
How can I prove this? I already found out that the triangles on the sides of the hexagon are not pairwisely congruent, as i first thought. I think my other idea that the red and orange triangles (attachment) are congruent, so the sum of the areas of the triangles on the above mentioned sides is equal, but the congruency of red and orange must be proven too. Any help is appreciated!
If I'm not wrong, then the answer will be:-
Given
• centers A, B, C
• three congruent sides
• have no common points
So, the result is:-
| PQ | + | RS | + | TU | = | QR | + | ST | + | UP |
ProvedI hope this answer is correct and helps you.
✍️ By Benjemin ☺️
escribe los cinco primeros. multiplos de cada numero multiplos de 7 multiplos de 10
Answer:7 · 0 = 0 7 · 1 = 7 7 · 2 = 14
7 · 5 = 35 7 · 6 = 42 7 · 7 = 49
10 · 0 = 0 10 · 1 = 10 10 · 2 = 20
10 · 5 = 50 10 · 6 = 60 10 · 7 = 70
Step-by-step explanation:
What is the distance between the points (4,7) and (4, -5)
Answer: It is 12
Step-by-step explanation:
Which expression is equivalent to (24m+36)+(12m+18)?
A
6(4m+9)+3(4m+9)
B
4(6m+9)+3(6m+9)
C
12 (2m+6)+3(2m+6)
D
12(2m+3)+6(2m+3)
The equivalent expression will be;
⇒ 12 (2m + 3) + 6 (2m + 3)
Option D is true.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ (24m + 36) + (12m + 18)
Now,
Since, The expression is,
⇒ (24m + 36) + (12m + 18)
it can be written as;
⇒ (24m + 36) + (12m + 18) = 12 (2m + 3) + 6 (2m + 3)
Thus, The equivalent expression after solving,
⇒ 12 (2m + 3) + 6 (2m + 3)
Learn more about the mathematical expression visit:
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