Answer:
Minimum unit cost = 5,858
Step-by-step explanation:
Given the function : C(x)=x^2−520x+73458
To find the minimum unit cost :
Take the derivative of C(x) with respect to x
dC/dx = 2x - 520
Set = 0
2x - 520
2x = 520
x = 260
To minimize unit cost, 260 engines must be produced
Hence, minimum unit cost will be :
C(x)=x^2−520x+73458
Put x = 260
C(260) = 260^2−520(260) + 73458
= 5,858
Multiply. Enter the product in simplest form.
2/7 x 4/5
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries. He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years. Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal?
Given :
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.
He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.
To Find :
Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.
Solution :
Let, after x years Abraham visited y countries.
It is mathematically given as :
[tex]10 + 5x=y[/tex]
Now, it is given that his goal is minimum of 50 countries.
So,
[tex]10+5x \ge 50\\\\5x\ge 40\\\\x \ge 8[/tex]
Therefore, minimum years required to meet his goals are 8.
Hence, this is the required solution.
Answer:
Im pretty sure the answer is C
Step-by-step explanation:
Good Luck!!!
Help with number 13. . . . . .
Answer:
6A, D
Step-by-step explanation:
So, you have A = b*h. The general formula for the area of a triangle. Then, we double the base and triple the height. We then get the expression (2b)*(3h).
Since it is multiplication, we can multiply 2 and 3 to get 6 and get 6*b*h.
Though, we know b*h is just A so we get 6A.
Jeremiah is 68 inches tall. This is ten inches less than three times Kyle’s little brothers height. How tall is Kyle’s little brother?
Cole is making decorated jellybean bags for a party. Each one contains 5/6 pounds of jellybeans. If cole has purchased 1,000 pounds of jellybeans, how many party bags can Cole make?
Answer:
1166 is the answer to your suggestion
Which of the statements below is a true statement about irrational numbers?
A.Irrational numbers are numbers whose decimal equivalent is repeating and non-terminating.
B.Irrational numbers are numbers whose decimal equivalent is non-repeating and terminating.
C.Irrational numbers are numbers whose decimal equivalent is repeating and terminating.
D.Irrational numbers are numbers whose decimal equivalent is non-repeating and non-terminating.
Answer:
b
Step-by-step explanation:
Irrational numbers are numbers whose decimal equivalent is non-repeating and terminating.
What is the decimal value of 5/6? I’m learning 7th grade math
Answer:
.83 repeating
Step-by-step explanation:
okay so all you do is take the top number divided by the bottom =)
Write an equation for the line that is perpendicular to the given line and that passes through the given point. y = 2x + 7; (0, 0)
Answer:
y = 1/-2x + 0 or y = 1/-2x
Step-by-step explanation:
A square and rectangle have the same perimiter. The length of a side of the square is 4x-1. The length of the rectangle is 2x+2 and the width is 2x. Write and solve and equation to find x.
Answer:
Square Perimeter = 4(4x-1)
Rectangle Perimeter = 2(2x+1) + 2(x+2)
Square Perimeter = Rectangle Perimeter
4(4x-1) = 2(2x+1) + 2(x+2)
16x - 4 = 4x + 2 + 2x + 4
16x - 4 = 6x + 6
-6x +4 -6x +4
10x = 10
x = 1
Step-by-step explanation:
hope that helped?
in a survey 8 out of 32 students preferred vanilla ice cream if 252 students are surveyed how many should theoretically prefer vanilla ice cream make a prediction?
Answer:
63
Step-by-step explanation:
8 / 32 = 0.25
Multiply 0.25 with 252
0.25 * 252 = 63
This process simply applies the same ratio from the first test to the second test.
HELP ME ASAP!!!
List the fractions and decimals in order from least to greatest
14: 0.5, 1/5, 0.35, 12/25, 4/5
17: -2.3, -2 4/5, -2.6
18: -6.0, -5/8, -7/12, -0.72
19:1.45, 1 1/2, 1 1/3, 1.2
20: -3.0, 0.5, 0.55, -0.35
21. explain how to compare 0.7 and 5/8
Answer:
14: 1/5, 0.35, 12/25, 0.5, 4/5
17: -2 4/5,-2.6, -2.3
18: -6.0, -0.72, -5/8, -7/12
19: 1.2, 1 1/3, 1.45, 1 1/2
20: -3.0, -0.35, 0.5, 0.55
Fraction Into Decimal:
14: 1/5=0.2, 12/25=0.48, 4/5=0.8
17: -2 4/5= -2.8
18: -5/8= -0.625, -7/12=-0.583 (3 is repeated)
19: 1 1/2= 1.5, 1 1/3= 1.3 (3 is repeated)
Explanation:
To start with, you need to convert the fractions into decimals in order to compare them easier
Then, for the negatives, it might be confusing but the bigger negative will be smaller since it's further away from 0 on a number line
Also, for #19, obviously, the negatives go first but for 0.5 and 0.55, it's kinda hard to compare but for 0.5, just add a zero at the end to extend the decimal and compare it. It would become 0.50 and 0.55 would then clearly be greater.
Hope this helped! Please give me brainliest if it did! You don't have to if you don't want to but I spend a lot of time on this, haha!
Question 3 of 10
What is the slope of the line that contains the points (4.-1) and (-1,4)?
O A. 5
O B. -5
O c. 1
O D. -1
Answer:
D
Step-by-step explanation:
y=kx+m
In this case I think the slope would be k.
k=y2+y1 / x2+x1
(4,-1) and (-1,4)
k=(4-1)/(-1-4)= 3/-5= -0.6 which is about -1
PLEASE HELP ME TO SoLVE THIS Questions
simplify the following expression: -4x^5y^4x x 5xy^7z^4
Answer:
[tex]-20x^{7}y^{11}z^{4}[/tex]
Step-by-step explanation:
Multiply: -4 and 5 which then equals [tex]-20x^5y^4x[/tex] X [tex]xy^7z^4[/tex]
Add Exponents: [tex]x^5+x1+x1[/tex] and then [tex]y^4+y^7[/tex]which finally equals to the answer, [tex]-20x^7y^{11} z^4[/tex]
If someone can help me on this one as well it would be great.
An
espera y termino y te ayudo vale que me falta poco
Does anyone know how to do this??
Answer:
Step-by-step explanation:
i'll explain how to do 9), it is the same process for the rest
y = 2x - 1
thus the value of 'y' should be the same as the result of '2x - 1'
when x = 5, 2x - 1 = 2(5) - 1 = 9, Thus (x, y) = (5, 9)
when x = 2, 2x - 1 = 2(2) - 1 = 3 Thus (x, y) = (2, 3)
when x = 0, 2x - 1 = 2(0) - 1 = 1 Thus (x, y) = (0, 1)
so in the table we have
x 2x - 1 y (x, y)
5 9 9 (5, 9)
2 3 3 (2, 3)
0 1 1 (0, 2)
we can now plot these values on a graph to look like so
look at the photo: please help
Answer:
3.66666666667
Step-by-step explanation:
I calculated it
Answer:
2 1/3
Step-by-step explanation:
4 + (-1 2/3) = 2 1/3
HHHHHEEEEELLLLLPPPPP. MMMMMEEEEE
Answer:
Sorry if I’m wrong but is it ... 90???
Step-by-step explanation:
========================================================
Work Shown:
The given list is {95, 89, 99, 85, 82, 81, 99}
Sort this list from smallest to largest.
We then have this: {81, 82, 85, 89, 95, 99, 99}
Next we will erase the first and last items in that sorted list above
Doing so leads to this smaller list: {82, 85, 89, 95, 99}
Repeat the step from before. Erase the first and last items
We now have {85, 89, 95}
One more time lets erase the first and last items getting {89}
This shows that 89 is the very center item
Going back to {81, 82, 85, 89, 95, 99, 99} we see that 89 is at the center with three items below it (81,82,85) and three items above it (95,99,99)
Therefore, the median is 89.
----------------------------------
Another route to take is to count the number of items in {81, 82, 85, 89, 95, 99, 99}. You should count 7 items.
Add 1 and divide by 2 to get (7+1)/2 = 8/2 = 4
The median is in slot 4, which is exactly where 89 is located in the list {81, 82, 85, 89, 95, 99, 99}
Note: this trick only works if you have an odd number of items in a set.
Fill in the blank
A _______ equation is an equation whose graph is in a line.
Y divided by x equals ___________ proportionality.
A ____________ relationship has a constant rate of change and goes through the origin.
On a coordinate grid, the point (0,0) is called the ___________.
A ____________ relationship may have a constant rate of change but does not go through the origin.
plz help this is part of my homework i already did most of it but i could not remember this TwT
plzz helppp
complete a proof in paragraph form for the alternate interior angles
theorem
given p||q
prove: m<3=m<5
Answer:
i sowwy
Step-by-step explanation:
Last question- please answer this!
pressions: Practice
Question 1 of 5
Select the correct answer.
Which expression is equivalent to the given expression?
3(x – 7) + 4(x2 – 2x + 9)
Answer: 14
Step-by-step explanation: Factoring x2-2x+9
The first term is, x2 its coefficient is 1 .
The middle term is, -2x its coefficient is -2 .
The last term, "the constant", is +9
Step-1 : Multiply the coefficient of the first term by the constant 1 • 9 = 9
Step-2 : Find two factors of 9 whose sum equals the coefficient of the middle term, which is -2 .
The first term is, 4x2 its coefficient is 4 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is +15
Step-1 : Multiply the coefficient of the first term by the constant 4 • 15 = 60
Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -5 .
-60 + -1 = -61
-30 + -2 = -32
-20 + -3 = -23
-15 + -4 = -19
-12 + -5 = -17
-10 + -6 = -16
For tidiness, printing of 18 lines which failed to find two such factors, was suppressed
4x2 - 5x + 15= x=14
Enter the correct answer in the box by replacing the values of m and b.
Answer:
f(x) = -2x + 5 Plato
Step-by-step explanation:
Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and Anita to make the same amount of money?
Answer:
7 years
Step-by-step explanation:
Let W = number of years they both have to work to make the same amount :
Amount made by Jaylon = 57000
Annual raise = 2500
Titak made after W years :
57000 + 2500w - - - (1)
Amount made by Anita = 64000
Annual raise = 1500
Total made after w years :
64000 + 1500w - - - (2)
Equate (1) and (2)
57000 + 2500w = 64000 + 1500w
2500w - 1500w = 64000 - 57000
1000w = 7000
w = 7000/ 1000
w = 7
Hemce, they'll both earn the same amount after 7 years
if a box of toffies can be divided among 24 children each will get 4 how many toffies will each get if the number of children is reduced 24
Given : A box of toffies can be divided among 24 and children each will get 4 .
To Find : Number of toffies will each get if the number of children is reduced 24
Solution : If toffies are distributed among the children and each child gets 4 , then the total number of toffies will be equal to , 24 × 4 = 96 toffies .
Again it is given that the toffies are redistributed among 24 children . So the number of toffies each will get will be equal to ,
=[tex]\bf \cancel{\dfrac{96}{24}}[/tex]
=[tex]\Large\boxed{\red{\bf 4 }}[/tex]
Hence the required answer is 4 .
Using the ordered pair below, what would be it's new location if it were translated with the rule (x - 4. y + 6)?
Answer:
Where is the ordered pair?
Step-by-step explanation:
Does (12+6)÷2 and 12+6÷2 have the same answer
Answer:
No
Step-by-step explanation:
If you go by PEMDAS then you would do whatever is in the parenthesis first, which in this case would be 12 + 6. And then you would divide, so 12 + 6 = 18/2 = 9. In the other equation you would do division first, so that would be 6/2 which equals 3 and then you would add that to 12 which equals 15.
Answer:
No, because it has parentheses. You have to do the parentheses first (cause of order of operations) and the divide, (or based on whatever your step is from order of operations) which your going to get a diff answer.
PLZZZ I NEED HELPP THANK YOU SO MUCH
Answer: A.) B.) D.)
Step-by-step explanation:
It's logic. If you know multiplication it's easy. It's okay I'm horrible at math.
Need help ASAP!! Will give brainliest
Answer:
yea i know this but imma just give to ya short its A
Step-by-step explanation:
Find the value of X. Then find the angle measures of the polygon.
Answer:
x=75
The measures of the polygon are 75, 105, 70 and 110.
Step-by-step explanation:
Since the sum of the angles is 360, we can set up an equation, where all the angles add up to 360:
(x-5)+(x+35)+(1.4x)+(x)=360
x-5+x+35+1.4x+x=360
4.4x+30=360
4.4x=330
x=75
Now, to find the angles, all you have to do is plug in 75 for x in every angle:
First angle: 75
Second angle: 1.4*75=105
Third angle: 75-5=70
Fourth angle: 75+35=110