Answer:
$13.36
Step-by-step explanation:
12.5+6.25+3.8=22.55
35.91-22.55= 13.36
A water tank is 2/3 full. 40 litres of water are taken from the tank. The tank is now 1/2 full. How many litres does the tank hold when full?
⅔ - ½ = 4/6 - 3/6 (make denomenator the same)
= 1/6
Thus, 1/6 = 40 litres
A full tank is 6/6 which equals to 1 whole
So,
1 unit (from 1/6) = 40 litres
6 units (from 6/6) = 40 × 6
= 240 litres
Therefore, the tank holds 240 litres when it is full.
( i hope my solution helps :3 )
The number of liters does the tank hold when full is 240 liters.
Number of litersFormulate
x=40÷⅔ - ½
Let find the common denominator
x=40÷4-3/6
Calculate the sum or the difference
x=40÷1/6
Divide the fraction
x=40×6
x=240 liters
Inconclusion the number of liters does the tank hold when full is 240 liters.
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C(x) = mx + 500
A company's total cost c(x), in dollars, to produce x shirts is given by the function above, where m is a
constant and x > 0. The total cost to produce 100 shirts is $800. What is the total cost, in dollars, to
produce 1000 shirts? (Disregard the $ sign when entering your answer.)
Total cost as the function of shirts is :
C(x) = mx + 500 .
It is given that , The total cost to produce 100 shirts is $800.
800 = 100m + 500
m = 3
So , cost is given by :
C(x) = 3x + 500 .
Now , putting x = 1000 .
We get :
C(x) = 3x + 500
C(x) = 3(1000) + 500
C(x) = $3500
Therefore , cost of producing 1000 shirts is $3500 .
Hence, this is the required solution .
Total cost to produce 1000 shirts will be $3500.
Linear equation: A linear equation with two variables 'x' and 'y' are given by,y = mx + b
Here, m = constant
Given in the question,
Equation representing company's total cost C(x) and number of shirts 'x' as,
C(x) = mx + 500
Here, m = constant
And x > 0
If C(x) = $800, x = 100,800 = m(100) + 500
m = 3
Equation for the total cost to produce the 'x' shirts will be,
C(x) = 3x + 500
If x = 1000,C(x) = 3(1000) + 500
x = $3500
Therefore, total cost to produce 1000 shirts will be $3500.
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Given that sin(90 -5ϴ) = Cos(180 - ϴ), Find the value of ϴ
Answer:
30°
Step-by-step explanation:
[tex] \because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}[/tex]
Mr. Bell drove 440 miles in 8 hours, on the highway, at a steady speed. How far could he drive in five hours at the same average speed?
Answer: 250 miles
Step-by-step explanation: 440/8 = 50
50 x 5 = 250
Please help, Solve Systems of Linear Equations
Answer:
x = 1 , y = 1 , z = -3
Step-by-step explanation using elimination:
Solve the following system:
{3 x + 2 y - z = 8 | (equation 1)
2 z + 2 x = -4 | (equation 2)
3 y + x = 4 | (equation 3)
Subtract 2/3 × (equation 1) from equation 2:
{3 x + 2 y - z = 8 | (equation 1)
0 x - (4 y)/3 + (8 z)/3 = -28/3 | (equation 2)
x + 3 y+0 z = 4 | (equation 3)
Multiply equation 2 by 3/4:
{3 x + 2 y - z = 8 | (equation 1)
0 x - y + 2 z = -7 | (equation 2)
x + 3 y+0 z = 4 | (equation 3)
Subtract 1/3 × (equation 1) from equation 3:
{3 x + 2 y - z = 8 | (equation 1)
0 x - y + 2 z = -7 | (equation 2)
0 x+(7 y)/3 + z/3 = 4/3 | (equation 3)
Multiply equation 3 by 3:
{3 x + 2 y - z = 8 | (equation 1)
0 x - y + 2 z = -7 | (equation 2)
0 x+7 y + z = 4 | (equation 3)
Swap equation 2 with equation 3:
{3 x + 2 y - z = 8 | (equation 1)
0 x+7 y + z = 4 | (equation 2)
0 x - y + 2 z = -7 | (equation 3)
Add 1/7 × (equation 2) to equation 3:
{3 x + 2 y - z = 8 | (equation 1)
0 x+7 y + z = 4 | (equation 2)
0 x+0 y+(15 z)/7 = -45/7 | (equation 3)
Multiply equation 3 by 7/15:
{3 x + 2 y - z = 8 | (equation 1)
0 x+7 y + z = 4 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Subtract equation 3 from equation 2:
{3 x + 2 y - z = 8 | (equation 1)
0 x+7 y+0 z = 7 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Divide equation 2 by 7:
{3 x + 2 y - z = 8 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Subtract 2 × (equation 2) from equation 1:
{3 x + 0 y - z = 6 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Add equation 3 to equation 1:
{3 x+0 y+0 z = 3 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Divide equation 1 by 3:
{x+0 y+0 z = 1 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = -3 | (equation 3)
Collect results:
Answer: {x = 1 , y = 1 , z = -3
You have a certain number of books in your library. You bought more books to triple your amount, then decide to give 14 away to your local school. You then give half of your remaining books away to charity. You end with 8 books left. How many books did you start with?
Answer:
10 :)
Step-by-step explanation:
(3x - 14) / 2 = 8
3x - 14 = 16
3x = 30
x = 10
Answer:
5. A shop sells a bicycle for N$ 1 730.25, make a profit of 5%. At what wholesale price did
the shop buy the bicycle?
Answer:
Answer:
$1643.74
Step-by-step explanation:
The seller sell at $1730.25, makes 5%
Profit made = $1730.25*5% = $86.51
Hence, the wholesales price = Sales price - Profit made
Wholesales price = $1730.25 - $86.51
Wholesales price = $1643.74
19. What is 0.00375 expressed in scientific
notation?
A. 3.75x10-3
B. 3.75x10-2
C. 3.75x102
D. 3.75x10
Answer:
answer is A 3.75x10^-3
The length of a rectangle is 2 yards less than 3 times the width.The perimeter is 68 yards. Find the width
Answer:
length = (3*width) -2
length + 2 = 3*width
width = (length +2) / 3
2*length + 2*width = 68
OR: 2*length = 68 -2*width
If length = (3*width) -2 then
2*length = 6 * width -4
therefore,
6 width -4 = 68 -2 width
8 width = 72
width = 9
Since 2 length + 2 width = 68
then 2 length = 68 -2 width
2 length = 68 -18
length = 25
Step-by-step explanation:
Julie goes to the park across the street from her house several times a day and jogs a total of six miles every day. She jogs three-fourths of a mile at a time. What is the divisor?
Answer:
The Divisor is 6 miles
Step-by-step explanation:
A Divisor is also defined as a number by which a another number called dividend is divided by with or without having a remainder.
Divisor ÷ Dividend = Quotient
We are told that Julie goes to the park and jogs a total of six miles every day. She jogs three-fourths of a mile at a time.
In 1 day = 6 miles
Spread throughout the day, or per time , Jules jogs 3/4 of a mile
To find out how many times she jogs in a day, 6 miles will be divided by 3/4
Divisor ÷ Dividend = Quotient
= 6 ÷ 3/4
= 8 times in a day.
Looking at the above, calculation, 6 miles is the Divisor.
Simplify the expression: y2 * y2
Answer:
[tex]y^4[/tex]
Step-by-step explanation:
[tex]y^2*y^2[/tex]
Let's multiply the 2 by the other 2.
[tex]2*2=4[/tex]
Let's combine it all together
[tex]2*2\\y[/tex]
Since we already know that [tex]2*2[/tex] is [tex]4[/tex] , we add it to the y.
[tex]y^4[/tex]
Hope this helps!
How many calories will Darrel burn in 1 minute while kayaking enter the answer below in the box 50/200, 100/400, 150/600, 200/800
Answer:100/400
Step-by-step explanation:
The answer is 10 calories per minute, will tai burn in 1 minute while biking.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
We do not have much information to go on such as the speed that Tai is biking or his/her weight.
Regardless we can use the data gathered by the University of Harvard which after a study came up with the following results.
Their results showed that if an individual bikes at a speed of 13 mph and are around 155 pounds they will burn calories at a rate of 10 calories per minute.
Therefore we can assume that Tai is burning roughly 10 calories per minute.
his rate increases if the person bikes at a faster speed or weighs more as they are exerting more energy.
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complete question:
How many calories will tai burn in 1 minute while biking? Enter the answer in the box.
Solve for x in the diagram below.
Answer:
77
Step-by-step explanation:
why because 100+3=103
and this is half a circle so the answer is 180-103 that is 77
Answer:
x = 20°Step-by-step explanation:
From the question it can be seen that all the angles lie on a straight line and
Angles on a straight line add up to 180°
To solve for x add up all the angles and equate them to 180°
That's
x + 3x + 100 = 180
4x + 100 = 180
Subtract 100 from both sides
4x + 100 - 100 = 180 - 100
4x = 80
Divide both sides by 4
We have
[tex] \frac{4x}{4} = \frac{80}{4} [/tex]We have the final answer as
x = 20°Hope this helps you
2x-30+5x+2=2 plz help
Answer:
30/7
Step-by-step explanation:
So we have the equation:
[tex]2x-30+5x+2=2[/tex]
Combine like terms:
[tex](2x+5x)+(-30+2)=2[/tex]
Add:
[tex]7x-28=2[/tex]
Add 28 to both sides:
[tex]7x=30[/tex]
Divide both sides by 7:
[tex]x=30/7[/tex]
So, our answer is 30/7
Or approximately 4.2857 :)
Given: Line segment N M is parallel to line segment P O. and Angle 1 is-congruent-to angle 3 Prove: Line segment N M is parallel to line segment N O. What is the missing reason in the proof?given transitive property alternate interior angles theorem converse alternate interior angles theorem
Answer:
yeah its parrellell
Step-by-step explanation:
Question 3 Evaluate the expression if x = 5 and y = 2 10 + 3x + 5y
Answer:
Sooo...
Step-by-step explanation:
1+2=7
Simple really.
Jesse loves to go hiking on rustic trails through trees and along rivers. One day in 20 minutes of hiking she hiked 1 mile. If Jesse hike at a constant rate what would the rate be
Answer:
0.05 mile per minutes
Step-by-step explanation:
Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered
Miles covered = 1 mile
Time covered = 20 minutes
Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered(minutes)
= 1 mile / 20 minutes
= 0.05 mile per minutes
20 minutes
= 20 × 60 seconds
= 1200 seconds
Jesse's rate of hiking (miles per seconds) = Total miles covered / Total time taken (seconds)
= 1 mile / 1200 seconds
= 0.0008333333333 miles per seconds
Approximately 0.000833 miles per seconds
If the student’s GPA is 3.384 how many credits is physics
Answer:
Let x = number of additional credits the student needs to get 4.0 GPA on. 52 credits with a GPA of 2.8 means a total of 52 * 2.8 = 145.6 145.6+4x52+x=3.2 Solve the equation for x
Step-by-step explanation:
Because i said so
2*3 help needed help ASAP
Answer:
6
Step-by-step explanation:
Multiply 2*3
you have two groups and you put 3 people in them you get 6 people in total
Find the product. −2 (3.1) lol another
Answer:
-6.2
Step-by-step explanation:
multiply -2 times 3.1
Answer:
-6.2
Step-by-step explanation:
1.5r+15=2.25 just need help to show steps
Answer:
Step-by-step explanation:
Step 1: Subtract 15 from both sides.
1.5r+15−15=2.25−15
1.5r=−12.75
Step 2: Divide both sides by 1.5.
1.5r
1.5
=
−12.75
1.5
r=−8.5
Answer: r=-8.5
Step-by-step explanation:
1.5r+15=2.25
1.5r+15-15=2.25-15
1.5r=-12.75
1.5r/1.5=-12.75/1.5
r=-8.5
PLEASE HELP meeeeeeee
======================================================
Explanation:
Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x
f(x) = -2x+2
0 = -2x+2
2x = 2
x = 2/2
x = 1
Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.
-----------------------
Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).
First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.
m = (y2-y1)/(x2-x1)
m = (3-6)/(1-0)
m = -3/1
m = -3 is the slope
The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.
So with m = -3 and b = 6, we see that g(x) = -3x+6.
-------------------------
Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top
g(x) = -3x+6
0 = -3x+6
3x = 6
x = 6/3
x = 2 is the x intercept of g(x)
--------------------------
In summary, we found...
x = 1 is the y intercept of f(x)x = 2 is the y intercept of g(x)Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.
Find the distance between each pair of points
L(-7,0) ,Y(5,9)
Answer: The distance is 15
Step-by-step explanation:
To find the distance between L and Y find the difference in the x and y coordinates then square them and add them to find their square root.
-7-5= -12
0-9 = -9
12^2 + 9^2 = d^2 where d is the distance
144 + 81 = d^2
225 = d^2
d= [tex]\sqrt{225}[/tex]
d= 15
Where do most living things get the energy they need for life?
either from air or food
either from sunlight or air
either from food or sunlight either from air or water
Answer:
From air,water and also food
Answer:
C
Step-by-step explanation:
Find the distance between the two points. (5,-3) (-4,7)
Answer:
-9.4
Step-by-step explanation:
Move. After the origin, (0,0), set the equation of EF is y=x. no record the coordinates of the vertices of a polygon ABCD. what are the coordinates of the vertices of the reflected polygon AefBefCefDef where EF is the line of reflection? enter the coordinates on the table
Answer:
Vertex Coordinate Vertex Coordinate
A (1, 1) AEF (1, 1)
B (2, 3) BEF (3, 2)
C (3, 2) CEF (2, 3)
D (2, 1) DEF (1, 2)
Step-by-step explanation:
Plato sample
We have wrote the coordinates.
What is an Expression?An expression is a number, a variable, or a combination of numbers and variables and operation symbols
How to solve it?We have
Vertex Coordinate Vertex Coordinate
A (1, 1) AEF (1, 1)
B (2, 3) BEF (3, 2)
C (3, 2) CEF (2, 3)
D (2, 1) DEF (1, 2)
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BIG IDEAS MATH
Chapter2-Section2
i
Write a function g whose graph represents a reflection in the y-axis of the graph of f(x) = -x+1.
g(x) =
Help!!!
Answer:
f(x) = -x+1
to find x-intercept/zero substitute f(x)=0.
0=-x+1
0=-x+1 move variable to the left-hand side and change its sign.
x=1
Solve the distance from point A to point B. Round you answer to the nearest tenth. A(5,4) and B(-4,-3)
Answer:
11.4Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(-4-5)^2+(-3-4)^2}=\sqrt{(-9)^2+(-7)^2}=\sqrt{81+49}=\sqrt{130}\\\\d=11.4017...\approx11.4[/tex]
the library is having a fall festival to raise money ashley spend 3.60 on popcorn 0.75on a drink and 5.00 to ride the ferris wheel how much money did ashley spend at the fall festival
Answer:
$9.35
Step-by-step explanation:
To solve this, all you have to do is add up all the costs Ashley experienced while attending the festival.
Popcorn $3.60
Drink $0.75
Ride $5.00
Total Cost $9.35
I hope this helps!
-TheBusinessMan
Answer:$9.35
Step-by-step explanation: first you add $3.60 and $0.75 which equals $4.35 then add $5.00 which would equal $9.35
what is the value of x in the equation 3x-4y=65 when y=4 HELLP PLEEAASE !!!!
Answer: x=27
Step-by-step explanation: