Answer: 700 tons of coal consumed in 10 weeks.
Step-by-step explanation:
first you find how much coal is consumed in 1 week which is 70 tons, then you multiply the 70 tons by 10 weeks because you are trying to find how much tons of coal can be consumed in to weeks and when you do that you should get 700 tons of coal for 10 weeks.
the mean (average) of three boys is 40 pounds. one of the boyd weighs 50 pounds. the other two boys have the same weight. find weight of each of the boys
Answer:
35, 35, and 50
Step-by-step explanation:
50 + x + x = n
n ÷ 3 = 40
n = 40 x 3
n = 120
50 + 2x = n
50 + 2x = 120
2x = 120 - 50
2x = 70
2x/2 = 70/2
x = 35
To check:
35 + 35 + 50 = 120
120 ÷ 3 = 40
Hope this helps
Answer:
35
Step-by-step explanation:
let us take each boy's weight as x
therefore,
average = [tex]\frac{x+x+50}{3\\}[/tex]
40 = [tex]\frac{x+x+50}{3\\}[/tex]
40 x 3 = x + x + 50
120 - 50 = 2x
70 = 2x
2x = 70
x = [tex]\frac{70}{2}[/tex]
x = 35
So weight of each boys is 35.
Evaluate the expression shown and write your answer as a fraction in simplest form.
1/8 + 11/6
Fill in the blanks with two rational numbers (other than 1 and −1).
____ × (-1/2) × ____ = -20
Answer:
2 and 20
Step-by-step explanation:
First how can we get rid of the fraction?
We can multiply -1/2 by 2 to get -1
Next what number do we multiply to get from -1 to -20?
-1x = -20
divide both sides by -1
x = 20
please give thanks by clicking the heart :)
Hi. Please help I have to pass this I don’t mind marking you brainlest
What is the area of the arrow shown?
A. 56 in
B. 44in
C. 80in
D.52in
Answer:
44
Step-by-step explanation:
add it all i think? hope it helps! :)
1 2/5m - 3/5(2/3m+1)
SIMPLIFY PLEASE
Answer:
3m4 + 5m3 - 5m2 + m - 3
3
Step-by-step explanation:
Step-by-step explanation:
step by step
STEP
1
:
Equation at the end of step 1
((((3•(m3))+5m2)-5m)+1)
(———————————————————————•m)-1
3
STEP
2
:
Equation at the end of step
2
:
(((3m3+5m2)-5m)+1)
(——————————————————•m)-1
3
STEP
3
:
3m3 + 5m2 - 5m + 1
Simplify ——————————————————
3
Checking for a perfect cube :
3.1 3m3 + 5m2 - 5m + 1 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 3m3 + 5m2 - 5m + 1
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -5m + 1
Group 2: 5m2 + 3m3
Pull out from each group separately :
Group 1: (-5m + 1) • (1) = (5m - 1) • (-1)
Group 2: (3m + 5) • (m2)
Bad news !! Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
3.3 Find roots (zeroes) of : F(m) = 3m3 + 5m2 - 5m + 1
Polynomial Roots Calculator is a set of methods aimed at finding values of m for which F(m)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers m which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 3 and the Trailing Constant is 1.
The factor(s) are:
of the Leading Coefficient : 1,3
of the Trailing Constant : 1
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 8.00
-1 3 -0.33 3.11
1 1 1.00 4.00
1 3 0.33 0.00 3m - 1
The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms
In our case this means that
3m3 + 5m2 - 5m + 1
can be divided with 3m - 1
Polynomial Long Division :
3.4 Polynomial Long Division
Dividing : 3m3 + 5m2 - 5m + 1
("Dividend")
By : 3m - 1 ("Divisor")
dividend 3m3 + 5m2 - 5m + 1
- divisor * m2 3m3 - m2
remainder 6m2 - 5m + 1
- divisor * 2m1 6m2 - 2m
remainder - 3m + 1
- divisor * -m0 - 3m + 1
remainder 0
Answer is 3
Write a simplified expression for the
perimeter of the triangle.
1.5x - 3
1.5x - 3
0.75x-1
Answer: 3.75 + - 7
Step-by-step explanation:
1.5x - 3 + 1.5x - 3 + 0.75x - 1
1.5x + 1.5x + 0.75x - 3 + - 3 + - 1
3.75x + - 7
If cm= (K2-15) in cm = (10k +9) in how many inches is cc
Answer:
Step-by-step explanation:
cm= (K2-15) in cm = (10k +9) in
K2 - 15 = 10k + 9
K2 - 10k = 9 + 15
K2 - 10k = 24
2k - 10k = 24
-8k = 24
k = - 3
Lortetta and her family are going on vacation. Their destination is 610 miles from their home. Loretta is going to share some of the driving with her dad. Her average speed while driving 55 mph and her dad's average speed while driving is 65 mph. The plan is for Loretta to drive for the first 4 hours of the trip and her dad to drive for the remainder of the trip. Determine th enumber of horus it will take her family to reach their desination.
Answer: 10 hours
Step-by-step explanation:
First and foremost, we should note that:
Speed = Distance / Time
Total destination = 610 miles
Loretta speed = 55 mph
Time to be used by Loretta = 4 hours
Loretta's distance = Speed × Time = 55 × 4 = 220 miles
The distance to be covered by her dad will then be:
= 610 - 220
= 390 miles
Her dad's average speed = 65 mph.
Time taken by her dad will be:
= 390 / 65
= 6 hours
The number of hours to be used by the family will then be:
Time taken by Loretta + Time taken by her dad
= 4 hours + 6 hours
= 10 hours
Here are the questions hehe
Answer:
89.10 / 4.95 is 18. so the first one is 18.
6 and 9, so we have to find the LCM. 6,12,18 and 9,18, so the first one to get a red and blue cap is the 18th bottle.
We know that the 18th bottle will get a red and blue, so then we have to find the LCM of 18 and 10. 18,36,54,72,90 10,20,30,40,50,60,70,80,90.
The first one to get all three is the 90th bottle.
Hope this helps plz hit the crown :D
Answer:
89.10 / 4.95 is 18. so the first one is 18.
6 and 9, so we have to find the LCM. 6,12,18 and 9,18, so the first one to get a red and blue cap is the 18th bottle.
We know that the 18th bottle will get a red and blue, so then we have to find the LCM of 18 and 10. 18,36,54,72,90 10,20,30,40,50,60,70,80,90.
The first one to get all three is the 90th bottle.
Step-by-step explanation:
Given that (x-1) is the highest common factors of 12 and 30, therefore the value of x is
A. 5
B. 6
C. 7
D. 8
Answer:
C
Step-by-step explanation:
Steps in pic below
use the function y=3/2x+3 to complete the table of values
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
Putting all the values of y=9, 6, 0, and -3 to complete the table
FOR y=9
putting y=9
switch sides
subtract 3 from both sides
Hence,
when y=9, x=4
FOR y=6
putting y=6
switch sides
subtract 3 from both sides
Hence,
when y=6, x=2
FOR y=0
putting y=0
switch sides
subtract 3 from both sides
Hence,
when y=0, x=-2
FOR y=-3
putting y=-3
switch sides
subtract 3 from both sides
Hence,
when y=-3, x=-4
Hence, the table becomes:
x y
9 4
6 2
0 -2
-3 -4
The percent of each number?
200% of 10
A. 20
B. 200
C. 2,000
D. 20,000
sorry if this is easy i dont listen :l
20
Step-by-step explanation:
please mark me as branliest and follow me
Decrease 65kg by 3/5
Step-by-step explanation:
answer........ . . .......
Answer:
26kg
Step-by-step explanation:
Firstly, we need to find 1/5 of 65kg so we do: 65/3=13
Then, to find 3/5 of 65kg we multiply 13*3 to get 39
Lastly, we subtract 39 from 65 to get 26kg
HELP PLEASE John opens a savings account with a deposit of $25. After the initial deposit, he deposits $10 each week into his account. Which equation can be used to determine how much money, y, John has after x weeks?
A. y = 35x
B. y = 25x + 10
C. y = 10x + 25
D. y = 10x - 25
Answer:
C. y = 10x + 25
Step-by-step explanation:
If John put $10 each week but we don't know how many weeks that he deposits $10, use x as the amount of weeks. x10.
There was already $25 in his savings account so we don't have to put an x next to the $25.
Printer A prints 36 pages every 1.5 minutes. Printer B prints 114 pages every 3 minutes.
Printer C prints 115 pages every 5 minutes Which printer prints the fastest?
Answer:
printer A- 36/1.5
printer B- 114/3
printer C- 115/5
first, multiply 1.5 x 10, 3 x 5, and 5 x3
you should get 15 for each.
once you have the denominators all done, multiply the numerators by the value you multiplied the denominator by and you should have your answer.
so all in all, printer B prints the fastest
please mark brainliest
HELPPPPPPPPPPPPPPPPP!!
Answer:
option 3
Step-by-step explanation:
V= πr²h
to make h the subject
h= V÷πr²
just take πr² to the other side
as it in multiplication on the left hand side, it will in division in right hand side.
hope it helps!
Divide the polynomials.
if you dont know dont respond :)
Answer:
Step-by-step explanation:
This is a difference of squares.
√x^2 - √49 is the basic formula for factoring a difference of squares. The idea is that the middle term has been cancelled out.
√x^2 = x
√49 = 7
(x - 7)(x + 7) is the way this factors.
(x - 7)(x + 7)
===========
(x + 7)
The (x +7) in the numerator cancels with the (x + 7) in the denominator.
The answer is (x - 7)
====================================================
She might have wanted you to do it like this.
(x + 7) || x^2 + 0x - 49 || x - 7
x^2 + 7x ........... Subtract
==========
-7x - 49
-7x - 49 ...... Subtract.
=============
0
Or she might have seen you do this
x^2 - 49 x^2 49
======= = === - =====
x + 7 x 7
Every math teacher freaks when they see this. I hope I didn't put ideas in your head.
But if you got the answer by doing what I did, you got it right.
The length of each side of a square is 6 feet more than the length of a side of a regular Octagon. The perimeter of the square is equal to the octagon. Find the length of the square and the length of a side of the octagon.
Please show work, I will give brainliest.
9514 1404 393
Answer:
square: 12 ft sidesoctagon: 6 ft sidesStep-by-step explanation:
This problem can be worked in your head.
If the perimeters of the square and regular octagon are the same, the side length of the 4-sided square must be the same as the length of 2 sides of the 8-sided octagon. Since the side of the square is 6 ft more than the side of the octagon, each side of the octagon must be 6 ft, and each side of the square must be 12 ft.
__
We can let s represent the side length of the octagon. Then we have ...
8s = perimeter of octagon
4(s +6) = perimeter of square
These are equal, so ...
4(s +6) = 8s
s +6 = 2s . . . . . . divide by 4
6 = s . . . . . . . . . . subtract s
The octagon has 6-ft sides; the square has 12-ft sides.
Help pls, click questions
Answer:
1) you would shade in 2
2) you would shade in 9
Step-by-step explanation:
1) 1/4 of 8 is 2
2) 3/5 of 15 is 9
Plsssss help!!!!!!
....
Answer:
1). x = 14
2). y = 2.4 cm
Step-by-step explanation:
In the diagram ΔNPQ ~ ΔNLM and NL = 3,
1). ∠P ≅ ∠L [All angles of similar triangle are equal in measure]
(3x + 18)° = 60°
3x = 60 - 18
x = 14
2). Since, both the triangles are similar, corresponding sides will be proportional.
[tex]\frac{PN}{NL}=\frac{NQ}{NM}[/tex]
[tex]\frac{y}{3}=\frac{3.2}{4}[/tex]
y [tex]=\frac{3.2\times 3}{4}[/tex]
y = 2.4 cm
Ik most of us have finals coming up. Some of us are stressing alot as well,
try not to stress as much, ik it can be hard not to. keep grinding and stay focused. It's all worth it at the end.
Also, always keep your head up no matter what your doing or going through, it's all gonna be ok. Do what u wanna do, be who u wanna be, follow ur dreams and goals. U are capable of so much.
I hope u have a great day!
Thanks for the support the finals always have been a struggle! Merry Christmas and good luck on everyone's finals!
. Find the equation of the straight line at a distance of 3 units from the origin such that the perpendicular from the origin to the line makes an angle a, given by the equation tan =5/12, with the positive direction of the axis of x?
Answer:
Plz Brain -list the answer It takes effort tnx dear
Step-by-step explanation:
From given condition
equation of line is given as,
x*cos(α)+y*sin(α)=p
& as tanα= 5/12 so from Pythagoras theorem
sinα= 5/13
cosα= 12/13
⇒12x+5y=39
⇒12x+5y−39=0p = 3, α = tan-1 (5/12) So, tan α = 5/12 sin α = 5/13 cos α = 12/13 The equation of the line in normal form is given by By using the formula, x cos α + y sin α = p Now, substitute the values, we get 12x/13 + 5y/13 = 3 12x + 5y = 39 ∴
Find the determinant of the following matrix. [5. -4] [8 2]
Answer:
determinant formula looks like ad - bc in a 2 x2 matrix when it's in the from of
a b
c d
as the one is here
Step-by-step explanation:
5*2 - (-4*8)
=10 - (-32)
=10 + 32
= 42
use the product property of exponents to justify that (9^1/2)^2=9
The rule states that
[tex](a^b)^c = a^{bc}[/tex]
So, in your case, you have
[tex](9^{\frac{1}{2}})^2=9^{\frac{1}{2}\cdot 2}=9^1=9[/tex]
3-3
Frankie was thinking about her mother cutting up the
lasagna when she noticed a very useful connection.
She recognized that any fraction in which the
numerator and denominator are the same is equivalent
to 1. In addition, multiplying a number by 1 leaves that
number unchanged.
"WOW," she said, “I can use this idea to find a whole
bunch of equivalent fractions!” She showed her team
the work below. “Look!" she said, “It's the same as
using a GIANT ONE!”
Answer:
why cant she just be like "ooh yummy lasagna" and move on lol
Step-by-step explanation:
Help Please! 50 points!
Answer:
The answer is:
Quotient: 6x^5+12x^4+17x^3+34x^2+71x+142+291/x−2
Remainder: 291
Step-by-step explanation:
I hope this helps. :)
Can you mark this as Brainliest.
Answer: The answer is:
Quotient: 6x^5+12x^4+17x^3+34x^2+71x+142+291/x−2
Remainder: 291
Step-by-step explanation:
I hope this helps. -.-
Step-by-step explanation:
The solution to that equation is p=500. What does the solution mean?
Answer:
that means that the letter p in the equation equals to 500
ANOTHER QUICK ONE !!! ,
Jill drives at a rate of 50 miles per hour for 250 miles. If she plans to drive a total of 450 miles
during her trip, how many hours does she have left to drive at the same rate ?
Answer:
bsgdhv is the ghj is the most
Answer:
4 more hours.
Step-by-step explanation:
So, to calculate the remaining time Jill has to drive, we have to first find out how much distance Jill has left to cover:
[tex](450 - 250)[/tex] miles
= [tex]200[/tex] miles
So, at a rate of 50 miles per hour, Jill has to drive:
[tex]\frac{200}{50}[/tex] more hours
= [tex]4[/tex] more hours
Hope this helped!
Find X (Its a circle question, PLEASE HELP)
Step-by-step explanation:
Since angles in the same segment are equal, Angle ABC (x) = Angle AOC.
Since Angles AOC and COD are supplementary, Angle AOC = 180° - 130° = 50°
Therefore x = 50°.