Step-by-step explanation:
a cube has 6faces.
side = 60/6 = 10cm
volume = 1000cm³.
hope this helps you.
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
[tex]\displaystyle m = \frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify points from given graph.
Point (0, -1)
Point (-3, 0)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{0 - -1}{-3 - 0}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{1}{-3}[/tex]andrew bought a camera on sale at a 20% discount. it was marked down from its regular price of 120$ if there is an 8% sales tax on the sales price, how much did andrew pay for the camera?
Answer:
$103.68
Step-by-step explanation:
20% 0f 120 is 24
120-24=96
8% of 96 is 7.68
96 + 7.68 = 103.68
Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental
fee to use a kayak for 4 days. She also paid $18 for a guided waterfall tour. Tara
paid $94 in all. What was the rental cost of each day Tara used the kayak?
Answer:
she will pay $19 for each day
Step-by-step explanation:
94-18=76
76÷4=19
The rental cost of each day Tara used the kayak is $19 if Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental fee to use a kayak for 4 days.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental fee to use a kayak for 4 days.
Let x be the rental cost of each day Tara used the kayak.
4x + 18 = 94
4x = 94 - 18
4x = 76
x = 76/4
x = $19
Thus, the rental cost of each day Tara used the kayak is $19 if Tara stayed at the Merry Mountain campgrounds last weekend. She paid a rental fee to use a kayak for 4 days.
Learn more about the linear equation here:
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#SPJ2
MODELING REAL LIFE The table shows the amount y (in fluid Ounces) of carpet cleaner in a tank after x minutes of
cleaning.
x ll y
5 ll 108
10 ll 88
15 ll 68
a. Write an equation that represents the amount of cleaner in the tank after x minutes.
b. How much cleaner is in the tank when the cleaning begins?
C. After how many minutes is the tank empty?
Answer:
a. Write an equation that represents the amount of cleaner in the tank after x minutes
y= -4x + 128
b. How much cleaner is in the tank when the cleaning begins?
128
c. After how many minutes is the tank empty?
The tank is empty in 32 minutes
If Alex is 14 years old, and Ben is 17 years old, in how many years will the sum of their ages be 169 years?
Answer:
69 years
Step-by-step explanation:
Sum of Alex's and Ben's current age
= 14 +17
= 31 years
For every year, Alex and Ben will each be one year older. Thus, 2 years would be added to the sum of their ages with each passing year.
Difference in the sum of their ages
= 169 -31
= 138 years
Number of sets of 2 years
= 138 ÷2
= 69
Thus, the sum of their ages will be 169 in 69 years.
PLEASE HELP ME I'M GIVING OUT LOTS OF POINTS!!
Answer:
(d) a1 = 11
Step-by-step explanation:
Put the numbers in the given formula and solve for a1.
a5 = 176 = a1(r^(5-1)) = a1·r^4
a7 = 704 = a1(r^(7-1)) = a1·r^6
Dividing a7 by a5 gives ...
a7/a5 = (a1·r^6)/(a1·r^4) = r^2 = 704/176 = 4
Then a1 is ...
a1 = a5/(r^4) = 176/(r²)² = 176/(4²) = 11
The first term is 11.
Hi, mal :> hehehe
( its [tex]a_{1} = -11[/tex])
Your welcome..... ;]
Question is in image
Which best explains if qudrillateral WXYZ can be a parallelogram?
Answer:
A
Step-by-step explanation:
If the figure is to be a parallelogram, opposite sides must be the same length. This requires ...
15 = x +8 ⇒ x = 7 . . . . long sides equal length
and ...
x +2 = 2x -5 . . . . . short sides equal length
7 = x . . . . . . . . . . add 5-x
The value x=7 will make opposite long sides have lengths 15 mm and opposite short sides have lengths 9 mm.
Figure WXYZ can be a parallelogram with one pair of sides measuring 15 mm and the other pair measuring 9 mm.
How many different five-letter
arrangements can be made from the
letters in the word "PLUTO"?
5
25
60
120
Answer:
my guess would probably be 5 but it could also be 25. (id like to say the answer but i cant cause this should be something for you to decide the answer not me.
Step-by-step explanation:
I hope this helps you!
How much pure alcohol must a pharmacist add to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution? ASAP
20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.
Let x represent the volume of pure alcohol (100%) in cm³ needed to be added. Hence:
x * 100% + 10 cm³ * 10% = 70% * (x + 10 cm³)
x * 1 + 10 * 0.1 = 0.7 * (x + 10)
x + 1 = 0.7x + 7
x - 0.7x = 7 - 1
0.3x = 6
x = 20 cm³
Therefore 20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.
Find out more on equation at: https://brainly.com/question/13763238
Answer:
20 cm³
Step-by-step explanation:
The dot product of u ∙ u = 45 what is the length of u?
Answer:
67 hah why you solve this
[tex]\textbf{u} \cdot \textbf{u} = 45\\\\\implies |\textbf{u}|^2 =45\\\\\implies |\textbf{u}| = 3\sqrt{5}[/tex]
Solve for g. Make sure to use scrap paper to show your work.
( 144 + 6 x 8 ) ÷ 3 = g
192
64
48
the answer is 64 multiplication can be done with calculator or normal
what ratio is equivelant to 5 : 4
Answer:
1.25 to 1
Step-by-step explanation:
5/4 = 1.25 4/4 = 1 So the ratio is 1.25 to 1
9. A box of cereal weighs 600 grams. How much is this weight in pounds?
Explain or show your reasoning. (Note: 1 kilogram = 2.2 pounds)
Answer:
1.323 pounds I think I'm not too sure thi sorry
Answer:
1.32 pounds
Step-by-step explanation:
convert 1kg to 1000g
[tex]1000g = 2.2pounds[/tex]
Find out how many pounds per 100g
[tex]100g = 0.22 \: pounds[/tex]
multiply by 6 to get 600g and multiply right hand side of the equation as well
[tex]600g = 0.22 \times 6[/tex]
[tex]600g = 1.32 \: pounds[/tex]
find the unknown angle can someone help me pls what is this how do i even find the unknown angle
Answer:
1 135
2 45
3 135
4 45
Step-by-step explanation:
think in terms of supplimentary angles. those that add up to 180
Each of the following is a tip for saving EXCEPT:
A.
shop smart
B.
use credit cards
C.
pay yourself first
D.
focus on reaching a goal
A (good way to save money): If you shop smart, you can pick up amazing deals like BOGO's, 50% Off, 60 or even 70% off and yet you can still get so many brand that people enjoy
B (good way to save money): If you have a good credit card company, you can earn free rewards or even cheaper rewards for things that can cost large amounts
C (helps save lots of money): This is almost like paying another bill every month, where you set aside a certain amount every month for in the future like vacations or when you hit retirement. This could also be considered the answer because that could also bring to the lack of able to pay all bills needed
D (this is where I think the answer could be possible): Some people make "goals" of spending hundreds of dollars on shopping mall trips or goals of purchasing tons of things that want and can cost thousands of dollars, which is considered a waste of money
Divide (x^3+2x-6x-9) by (x+3)
Answer:
x² - 3x + 5 - [24÷(x+3)]
Step-by-step explanation:
1. Expand (x³ + 2x - 6x - 9)
= x³ - 4x - 9
2. Divide [x³ - 4x - 9 by x+3]
= x² + [(-3x^2-4x-9) ÷ (x+3)]
3. Divide [(-3x^2-4x-9) by (x+3)]
= -3x + [(5x-9) ÷ (x+3)]
x² - 3x + [(5x-9) ÷ (x+3)]
4. Divide [(5x-9) ÷ (x+3)]
= 5 + [(-24) ÷ (x+3)]
x² - 3x + 5 + [(-24) ÷ (x+3)]
= x² - 3x + 5 - [24 ÷ (x+3)]
Which relation is a function mastery test
Answer:
The relation which is a function is the one in which none of the first coordinates repeated.
Step-by-step explanation:
Solve the following inequality 17 less than or equal to negative 3X +2 less than or equal to 26.. what is the answer
Answer:
-5 less than or equal to x less than or equal to -8
Step-by-step explanation:
You have to isolate x.
Start with removing +2.
Take 2 away from both sides
15 less than or equal to -3x less than or equal to 24
Then, the only thing you have to isolate after that is -3, you have to remove it from x.
Since -3x is multiplying, you have to divide by -3 on the other sides.
15 divided by -3 is -5
24 divided by -3 is -8
Therefore,
The answer is...
-5 less than or equal to x less than or equal to -8
A bag of mixed nuts has 14 almonds, 12 cashews, and 18 peanuts. If one nut is selected, what is the probability that a peanut is chosen?
Provide the answer as a simplified fraction.
18 / 44 = 9 / 22
There are 44 nuts in the bag, and 18 of them are peanuts. If you simplify the fraction, you get 9/22 chance of getting a peanut.
Answer:
9 / 22
Step-by-step explanation:
combine 14, 12, and 18
=44
then, divide 18 by 44
then you get 9 / 22
Casey borrowed $4500 at a 5% interest rate for 4 years.
What was the total interest?
Enter your answer in the box.
Hint: Use the formula I=P*R*T where
I= Interest Earned/Owed
P= Principal
R= Rate
T= Time
PLEASE HURRYYYY!
Poppy is the manager of a unisex hair salon.
The salon uses a mixture of three products for hair colouring
This table shows the number of millilitres (ml) of each product used for the mixture
Product
Amount
Colour
30ml
Developer
60ml
Conditioner
60ml
Poppy has the following amount of each product in stock
3.5 litres of Colour
0.5 litres of Developer
2.2 litres of Conditioner
The salon has about so appointments for hair colouring per month
Poppy can only order products in whole litres.
For next month, she thinks she has enough colour and conditioner in stock but she needs to
order 4 litres of developer
24 Is Poppy correct?
Explain your answers
Show your working
Examiner
use only
(5 marks)
The content of the mixture, which are the colour, developer, and
conditioner, are in a fixed proportion to each other.
Poppy is incorrect, she should order 3 liters of developer and 1 liter of conditioner.Reasons:
The table of the amount of each product used in the mixture are;
[tex]\begin{tabular}{|c|c|c|c|}Product&Colour&Developer&Conditioner\\Amount&30 ml&60 ml&60 ml\end{array}\right][/tex]
The number of appointment per month = 50
The quantities used per month have a proportional relationship
Quantity used a month are;
Colour = 30 ml × 50 = 1,500 ml
Developer = 60 ml = × 50 = 3,000 ml
Conditioner = 60 ml × 50 = 3,000 ml
Quantity available are;
Colour = 3.5 liters
Developer = 0.5 liters
Conditioner = 2.2 liters
The quantity needed = Quantity used - Quantity available
Therefore;
Quantity needed are;
Colour = 1,500 ml - 3,500 ml = -2,000 ml
Developer = 3,000 ml - 500 ml = 2,500 ml
Conditioner = 3,000 ml = 2,200 ml = 800 ml
Therefore, Poppy has enough colour but she needs 2,500 ml of developer and 800 ml conditioner
Therefore, she should order;
3,000 ml = 3 liters of developer
1,000 ml = 1 liter of conditioner
Therefore;
Poppy is incorrect, she should order 3 liters of developer and 1 liter of conditioner.
Learn more about proportional relationships here:
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what is the slope of -y=-x+6
Answer:
m = 1b = -6Step-by-step explanation:
We know that:
-y = -x + 6y = mx + bFirst, we need to change the 'y' sign.
=> -y = -x + 6=> y = x - 6Now, let's compare both of the equations to find slope.
=> (y = x - 6) = (y = mx + b)We can see that the slope is 1 and the y-intercept is -6.
Conclusion:
Therefore:
m = 1b = -6Hoped this helped.
Write the equation of the line that passes through the points (8,-1) and (2,-5) in standard form, given that the point- slope form is y + 1= 2/3 (x -8)
Answer:
2x - 3y = 19
Step-by-step explanation:
y=(-5--1)/(2-8)*(x -8)+-1
y=-4/-6(x-8)-1
3y=2x-16-3
3y=2x-19
2x-3y=19
True or False (See Image)
The remainder theorem can be used to check if a binomial is a factor of a larger polynomial.
Answer: true
Step-by-step explanation:
PLEASE HELP !!!
x^2-34=16x
Answer:
Complete the SquareSolve for x over the real numbers:(x - 8)^2 - 100 = 0
Add 100 to both sides:(x - 8)^2 = 100
Take the square root of both sides:x - 8 = 10 or x - 8 = -10
Add 8 to both sides:x = 18 or x - 8 = -10
Add 8 to both sides:Answer: x = 18 or x = -2
Step-by-step explanation: DONT TRUST THIS THOUGH
The football team has a total of 350 jerseys. There are 154 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Pls help me
Answer:
Step-by-step explanation:
Given : The total number of jerseys = 350
The number of medium-sized jerseys = 154
Then, the percent of the jerseys are medium-sized jerseys will be :-
\begin{gathered}\dfrac{\text{Number of medium-sized jerseys }}{\text{Total jerseys}}\times100\\\\=\dfrac{154}{350}\times100\\\\=0.44\times100=44\%\end{gathered}
Total jerseys
Number of medium-sized jerseys
×100
=
350
154
×100
=0.44×100=44%
Therefore , the percent of the jerseys are medium-sized jerseys = 44%
How could I write this out?
Answer:
1.6 divided by 8 is 0.2
Step-by-step explanation:
need help with math probelm
[tex]28+24=4(7)+4(6)=4(7+6)[=4(13)=52][/tex]
The answer: 4(7+6)
ok done. Thank to me :>
6(x 2) 3(x 3) help me help me help me help me help me HELP MEEEEE PLZ its from usatestprep
Answer:
i dont now
Step-by-step explanation:
Please help! photo is attached with the problem.
