Answer:
1, 9 and 10.
Step-by-step explanation:
Let the 3 numbers be x, y and z, then
x + y + z = 20
xyz = 90
Assuming the numbers are whole numbers lets find the prime factors of 90:
90 = 2*3*3*5
So we need to combine these factors to fit the 2 eqautions.
Now 90 = 9 * 10
= 1 * 9 * 10
If we include 1 as one of the 3 numbers then 1, 9 and 10 will fit the bill.
Answer 1, 9 and 10
Emily got a new fish tank for her pet betta fish.
The tank is shaped like a rectangular prism that
is 48 centimeters long, 30 centimeters wide,
and 30 centimeters high. She is filling the tank
with water from a faucet flowing at a rate of 7.2
liters, or 7,200 cubic centimeters, per minute.
How many minutes will it take Emily to fill the
tank?
Write your answer as a whole number or
decimal. Do not round.
Explanation:
To start off, we'll need the volume of the fish tank.
Volume of a rectangular block = (length)*(width)*(height)
V = L*W*H
V = 48*30*30
V = 43,200
The volume of the tank is 43,200 cubic cm.
Divide this over the flow rate of 7200 cubic cm per minute to get
(43,200)/(7200) = 6
It will take Emily 6 minutes to completely fill the tank.
What is the equation of this line?
Answer:
y = 2x
3
Step-by-step explanation:
From the graph, y=4 when x= 6
And
y= -4 when x= -6
So, we can deduce the relationship between x and y.
how many solutions does this system of equations have?
x-4y= -20
x-4y = -8
Answer:
Infinitely many
Step-by-step explanation:
Same slope, DIfferent Y-intercept
A circle passes through the point (5,2) and touches the line y + x = 9 at the point (3.6). Find the coordinates of the center and the radius of the circle. Hence, state the standard equation of the circle
Step-by-step explanation:
solution is attached
MARK ME AS BRAINLISTA train travels at an average rate of 40 mph and travels for 110 miles . Write an equation
Answer:
the equation is 40/1 = 110/x hours
Step-by-step explanation:
It would take (2 hours and 45 min) for the train to travel this far
Which of the following is a solution of y-x>-3?
(2,6)
(2,-1)
(6,2)
Answer:
Step-by-step explanation:
Answer= (2,6)
">" means greater than..
y-x >-3 so in this case you would plug in y= 6, and x=2
6-2=4 and 4 is greater than -3. :)
The other answers give negative numbers of -3, and -4 which aren't greater than -3.
Financial- One of the main differences between a Roth IRA and a traditional IRA is that:
A. You can withdraw money at different ages.
B. The amount you can contribute depends on your age.
C. A Roth IRA is offered by banks, while a traditional IRA is offered by an employer.
D. Contributions are taxed differently.
The difference between Roth IRA and a traditional IRA is that Contributions are taxed differently. That is option D.
What is Individual Retirement Account (IRA)?An Individual Retirement Account (IRA) is an account that has tax advantages which is used for financial saving for a long term.
In Roth IRA, taxes are being paid while the individual is still working.
In traditional IR, taxes are being paid after retirement.
Therefore, the difference between Roth IRA and a traditional IRA is that Contributions are taxed differently.
Learn more about tax here:
https://brainly.com/question/25783927
The main difference between a Roth IRA and a traditional IRA is that D. Contributions are taxed differently.
What is IRA?It should be noted that IRA simply means an individual retirement account. They're usually not taxed until retirement.
In this case, the main difference between a Roth IRA and a traditional IRA is that the contributions are taxed differently.
Therefore, the correct option is D.
Learn more about IRA on:
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Please help :(
A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20. Which statement is true of the box plot of this data set?
The box will go from 10 to 12.
A line dividing the box will be at 12.
The left whisker will go from 4 to 15.
The right whisker will go from 12 to 20.
Give explanation for brainliest.
And thanks for all the follows!
Given:
A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20.
To find:
The correct statement for the box plot.
Solution:
Lower quartile is 10 and upper quartile is 15, so the box will go from 10 to 15.
Median of the data set is 12, so a line dividing the box will be at 12.
Minimum value is 4 and lower quartile is 10, so the left whisker will go from 4 to 10.
Upper quartile is 15 and maximum value is 20, so the right whisker will go from 15 to 20.
Therefore, the correct option is B.
-HEAVEN
Need help or the answer for these two someone help please!!
Answer:
1) 287.97; 2) 75.396 [in³].
Step-by-step explanation:
1) the rule:
V=1/3 *πhr²;
2) according to the formula above:
V₁=1/3 *3.1415*11*5²=287.97 [in³];
V₂=1/3 *3.1415*8*3²=75.396 [in³].
Given f(x) = 10/x^2- 7x-30
which of the following is true?
(see attached image, it’s not A)
Answer: f(x) is positive for all x<10
Proof of validity is shown below.
(-5, -1), 6
Write an equation of a circle with the given center & radius
Step-by-step explanation:
The equation of a circle with the given center and radius.
center = (-5,-1) and radius is 6
x²-y²-10x-2y-6=0.
What is the equation of circle?
The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.
The standard form of the equation of the circle can be given as,
Here (h,k) is the center of the circle and (r) is the radius of the circle.
The equation of a circle with the given center and radius. center (-5,-1) and radius 6 has to be written. Use the above equation,
Thus, the equation of a circle with the given center and radius.
center (-5,-1) and radius is 6
x²-y²-10x-2y-6=0.
help me please aaaaaaaaaaaaaaaaaaaaaaa
Answer: 162
Step-by-step explanation:
C D
5
What is the slope of the equation Y =
7
-42
0-7
7
4
54
05
Answer:
The answer is:
[tex] \frac{5}{4} [/tex]
Step-by-step explanation:
Because In the equation y=mx+b, m is always the slope.
Sharon wants to buy a shirt that costs $25. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt?
Answer:
Price before Taxes: $ 25.00
+ Sales Tax (5%):$ 1.25
Total Price with Tax:$ 26.25
The original price of a phone was reduced by $200.
If p = the phone's original price in dollars, which algebraic expression
represents the reduced price?
A. p- 200
B. 200 + p
C. 2002
D. 200-P
Two science classes got to go to an amusement park. Counting the students and the chaperones, there were 54 people that went to the park, for a total cost of $367.50. Adult tickets cost $8.00 and student tickets cost $6.50.
Answer:
43 students and 11 chaperones
Step-by-step explanation:
Let a = number of chaperones or adults
Let s = number of students
1) We could set up two equations and solve them simultaneously using the substitution or the elimination method.
s + a = 54
8a + 6.50s = 367.50
I choose the substitution method.
2) Solve for s or y. I choose s.
a = 54 - s
8(54 - s) + 6.50s = 367.50
--------------------------------------
432 - 8s + 6.50s = 367.50
432 - 1.50s = 367.50
-1.50s = 367.50 - 432
-1.50s = -64.50
s = [tex]\frac{-64.50}{-1.50}[/tex]
s = 43
3) Substitute the result into one of the two equations above. I choose the first one.
43 + a = 54
a = 54 - 43
a = 11
Simplify the radical expression.
Answer:
-8√(6n).
Step-by-step explanation:
-√(8n) * 2√12
= -√4*√(2n) * 2√4√3
= -2√(2n)*4√3
= -8√(6n)
Find the area of the figure
Answer:
its 60
Step-by-step explanation:
because 10 time 6 equals 60
Tell if the slope is positive, negative, zero, or no slope. UNDEFINED
Answer:
Zero Slope
Step-by-step explanation:
A Negative Slope is going down on the graph and it is negative M (y=mx+b)
A Positive Slope has is going up on the Graph and it is a positive M (y=mx+b)
(Imagine a Mountain)
Zero Slope is where there is only one y value and infinite x values
Undefined is where there is one x value and infinite y values
A 16-pound force is applied to a 36-inch input arm. The resultant output torque is
A. 4 pound feet
B. 12 pound feet
C. 48 pound feet
D. 64 pound feet
So
Torque
[tex]\\ \rm\Rrightarrow \tau=3(16)[/tex]
[tex]\\ \rm\Rrightarrow \tau=48lbs\:ft[/tex]
Marlon has 2 gallons. how many cups of juice does he have?
Answer: Marlon would have 32 cups of juice
Step-by-step explanation:
Since there are 16 cups in one gallon, you simply multiply 16 by 2, to get your answer of 32 cups.
Jack dining room room is 5 inches wide and 12 inches long. He wants to install wooden trim around the top of the room. The trim cost 5$ per inch. How much will it cost him to buy enough trim?
Answer:
$170
Step-by-step explanation:
since he wants to put it around the top and not fill it, it will be a perimeter problem. 5+12+5+12 is 34, and 34 x $5 is 170.
for charles the great please help
Answer:
119
Step-by-step explanation:
23 plus 64 plus 32
I think I just did this question
solve tan(x)(tanx+1)=0
Answer: [tex]x=n\pi , \frac{3\pi }{4} +n\pi[/tex]
Step-by-step explanation:
Since we have a product here, either term can be zero. We can individually set each term equal to zero:
[tex]tan(x)=0[/tex]
[tex]tan(x)+1=0[/tex]
Beginning with the first term. It is saying "tangent of what gives zero". Well, tangent of zero gives zero. The value pi also gives zero:
[tex]tan(0)=0[/tex]
[tex]tan(\pi )=0[/tex]
We can generalize this by saying 'x' is equal to pi multiplied by an integer 'n', where 'n' is 0, 1, 2, 3...
[tex]x=n\pi[/tex]
Moving on to the second term, lets subtract that 1 to the other side to get:
[tex]tan(x)=-1[/tex]
Tangent of what gives -1? That would be 3pi/4. Tangent is the ratio of sine and cosine. So, you can essentially think of tangent as the slope of the line on a unit circle. Refer to the figure below. Another location along the unit circle where we get -1 is at 7pi/4, which is just 3pi/4 shifted by 180 degrees. Therefore, we can generalize this solution by adding 'npi' to 3pi/4 to get:
[tex]x=3\pi /4+n\pi[/tex]
where 'n' is 0, 1, 2, 3...
-2.2y - 3.4y -1(-5.7y) + 8.2y
Answer:
8.3y
Step-by-step explanation:
-2.2y - 3.4y -1(-5.7y) + 8.2y
Apply rule -(-a) = a:
⇒ -2.2y - 3.4y + 5.7y + 8.2y
Factor out common term y:
⇒ y(-2.2 - 3.4 + 5.7 + 8.2)
Carry out operations in the parentheses:
⇒ y(8.3)
Write in standard form:
⇒ 8.3y
1. The Rock has an 88-gallon fish tank. When it needs to be cleaned, it can be drained at a rate of 6 gallons per minute. Handwritten. Show all work. Complete sentence for each question. (a) Assuming the tank was full, write a function in the form y=mx + b that represents the amount of water in the tank, Y, after X minutes. You will need to know the initial value and the rate of change. (b) How long has the tank been draining for if it has 34 gallons left?
Using linear function concepts, it is found that:
a) The function is y = 88 - 6x.
b) The tank has been draining it for 9 minutes.
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Item a:
The full volume of the tank is of 88 gallons, hence the y-intercept is of b = 88.The volume can be drained at a rate of 6 gallons per minute, hence the slope is of m = -6.Thus, the equation is given by:
y = 88 - 6x.
Item b:
This is x for which y = 34, hence:
y = 88 - 6x
34 = 88 - 6x
6x = 54
x = 9.
The tank has been draining it for 9 minutes.
More can be learned about linear function concepts at https://brainly.com/question/24808124
The amount of water in the tank is given by y = -6x + 88, it would take 9 minutes for the water to remain 34 gallons.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the amount of water after x minutes.
The Rock has an 88-gallon fish tank which can be drained at a rate of 6 gallons per minute. Hence:
m = -6, b = 88
y = -6x + 88
For 34 gallons:
34 = -6x + 88
x = 9
The amount of water in the tank is given by y = -6x + 88, it would take 9 minutes for the water to remain 34 gallons.
Find out more on equation at: https://brainly.com/question/2972832
There are 5 dogs playing at the dog park. Tyrone has 4 biscuits to share equally among the dogs. Tyrone wants to know how many dog biscuits each dog will get.
Help please! I need help!!!!
Evita is solving the system of equations shown using the elimination method. first equation: 3x + 8y = 20 second equation: 5x – 2y = 4 - What operation will eliminate one of the variables?
A. multiply the first equation by 2
B. multiply the first equation by 4
C. multiply the second equation by 2
D. multiply the second equation by 4
Answer:
D. multiply the second equation by 4
Step-by-step explanation:
3x + 8y = 20 __ equation 1
5x – 2y = 4 ___ equation 2
multiply the second equation by 4
3x + 8y = 20 __ equation 1
20x – 8y = 16 ___ equation 2
============
23x = 36
x = 36/23
y = (4-5x)/-2
y = (4-5(36/23))/-2
y = 44/23
7u<42
solve the inequality for U
Answer: u<6
Step-by-step explanation:
Isolate u by dividing both sides of the inequality by 7
[tex]\frac{7u}{7} < \frac{42}{7} \\u < 6[/tex]
u<6
Solution:In order to solve this inequality, we need to divide both sides by 7.Remember, our goal is to find the value of u.We know that 7u is less than 42.So, divide both sides by 7:u<6So u is less than 6.This also means that the numbers less than 6 will satisfy the inequality (make it true).Hope it helps.
Do comment if you have any query.
Amy and Julie are going camping.
Each of them both has a bag of marshmallows. The bag of marshmallows has 60 marshmallows inside. The girls also bring crackers. If Amy and Julie make 15 s'mores, how many crackers did they use?