A wading pool is being filled with water from a garden hose at a rate of
6 gallons per minute. If the pool already contains 80 gallons of water and can hold 152 gallons, and it will take 12 minutes for the pool to overflow.
In this scenario, we have a wading pool being filled with water from a garden hose at a constant rate of 6 gallons per minute. The pool already contains 80 gallons of water, and its maximum capacity is 152 gallons. We want to find out how long it will take for the pool to overflow.
Let's use "t" as the variable representing time in minutes. After "t" minutes, the amount of water in the pool will be the initial 80 gallons plus the additional water being filled by the hose at a rate of 6 gallons per minute. We can express this mathematically as:
Amount of water in the pool after "t" minutes = 80 gallons + 6 gallons/minute * "t" minutes
Now, we want to find out when the pool will overflow. The pool's capacity is 152 gallons, so we set up an equation to represent this:
Amount of water in the pool after "t" minutes = 152 gallons
Substituting the earlier expression for the amount of water in the pool after "t" minutes:
80 gallons + 6 gallons/minute * "t" minutes = 152 gallons
Now, we have an equation to model the scenario: "80 + 6t = 152".
To find the time "t" it takes for the pool to overflow, we need to solve this equation for "t."
To solve for "t," we need to find the value of "t" that satisfies the equation we derived earlier:
80 + 6t = 152
To isolate "t," we'll perform the following steps:
Subtract 80 from both sides to move the constant term to one side of the equation.
80 + 6t - 80 = 152 - 80
This simplifies to:
6t = 72
Divide both sides by 6 to solve for "t."
t = 72 / 6
t = 12
So, it will take 12 minutes for the pool to overflow.
In summary, we have a wading pool being filled with water at a rate of 6 gallons per minute, and we want to know when it will overflow, given its current water level of 80 gallons and a maximum capacity of 152 gallons. The equation "80 + 6t = 152" models this situation, with "t" representing the time in minutes. Solving this equation will give us the time it takes for the pool to overflow.
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The tires of an automobile have a diameter of 22 inches. If the wheels revolve ten times, how
far does the automobile move? (Round the result to the nearest tenth of a foot.)
Jamie invests money. In the first year it increases to 110% of its original value.
He spends 20% of the profit on a cricket bat and 1/8 of the reminder on a cricket jumper.
He is left with £140 profit. How much did Jamie invest?
Answer:
£2000
Step-by-step explanation:
Let the money invested be x.
After 1 year, the money is now 110% of x = 1.1x
Original amount of money: x
Profit in 1 year: 0.1x
He spends 20% of the profit on a cricket bat.
0.2 * 0.1x = 0.02x spent on cricket bat
The reminder of the profit is 0.8 * 0.1x = 0.08x
He spends 1/8 * 0.08x on a cricket jumper.
Amount of profit he has:
0.1x - 0.02x - 0.125 * 0.08x
This equals £140
0.1x - 0.02x - 0.125 * 0.08x = 140
0.08x - 0.01x = 140
0.07x = 140
x = 140/0.07
x = 2000
Answer: £2000
Use Substitution, what is the solution to the system 5x + y = 12 and 2x + Зу = -3
A (2,-3)
B (-3,3)
C (3,-3)
D (2,2)
Answer:
C
Step-by-step explanation:
I will give you BRAINLIEST for the correct answer
Answer:
126
AS:
If these cubes are to to be placed so that their respective faces are parallel
or perpendicular, as the case may be, to the respective orientations of the
dimensions of the box, without tilting any cubes in any directions,
then choice B) can be justified. This leaves spaces (some volume) in the box
not filled by the cubes.
How many whole number of edges of the cubes fit into 4 cm?
4 / 3 √ 2 must be rounded down to 3.
How many whole number of edges of the cubes fit into 8 cm?
8 / 3 √ 2 must be rounded down to 6.
How many whole number of edges of the cubes fit into 10 cm?
10 / 3 √ 2 must be rounded down to 7.
Then (3)(6)(7) = 126
A triangle has an area of 32 square centimeters and a height of 1 centimeters. What is the length of the base of the triangle?
A.64 cm
B.32 cm
C.16 cm
D.8 cm
what's the volume of this composite figure
a. 272 cubic inches
b. 192 cubic inches
c. 180 cubic inches
d. 372 cubic inches
please help!! I'll give brainiest
Answer:
372 in³
Step-by-step explanation:
v1 = 12×4×4=192 in³
v2 = 12×3×5=180 in³
total volume =180 +192 =372 in³
What is the square root of -1?
Answer:
Step-by-step explanation:
The square root of a negative number is an irrational value
Answer:
✓-1 is an error but according to the rule of mathematics -1 is still the same thing as 0
✓0 is = 0
What is the main difference between a square and a rhombus?
A.
A rhombus has 4 right angles, and a square does not.
B.
A square must have 4 right angles, but a rhombus may or may not have 4 right angles.
C.
A square has sides that are parallel, but a rhombus does not.
D.
A rhombus is always bigger than a square.
Answer:
B. a square must have 4 right angles, but a rhombus may or not have 4 right angles.
Answer:
B
Step-by-step explanation:
The main difference between a square and a rhombus is a square must have 4 right angles, but a rhombus may or may not have 4 right angles. All the angles of a square have to be 90 degrees. All right angles are 90 degrees. All squares are rhombuses, but not all rhombuses are squares. There are occasions when a rhombus has 4 right angles.
Please help! no links and scams pls. Giving brainliest if correct
Answer:
A) What is the opposite of the absolute value of negative 4?
B) What is the absolute value of negative 4?
C) What is the opposite of 4?
D) What is the absolute value of 4?
Step-by-step explanation:
Just need help solving this problem.
Which equation can best be modeled by the expression 10(-4)
Do 4x and 15 + x have the same value if x is 5?
Yes
or
No
HELP WHATS THE ANSWER FOR THIS, WILL MARK BRAINLIEST!!!
ita the first answer 65..............
Geometry help please. Find m in the diagram please.
Answer:
m = 8
Step-by-step explanation:
[tex]\frac{m}{12}[/tex] = [tex]\frac{10}{5+10}[/tex]
15m = 120
m = 8
Use csc (90) = 10/m.
So, m = 10/csc(90).
m = 8.93997
Answer: m = 8
Question to this please not sure
Answer:
6
Step-by-step explanation:
Answer:
6 miles
Step-by-step explanation:
d = 2xr
2x3 = 6
hope this helps
The volume of a cone is given by v=13πr2h. If a cone has volume 3π, what is the height of the cone when the radius is 12?
Answer:
16units
Step-by-step explanation:
Given data
The expression for the volume of a cone is given as
v=1/3πr^2h
v= 3π
r= 12
h=???
Substitute
3π= 1/3*π*12^2*h
3= 1/3*144*h
3= 144h/3
cross multiply
3*3= 144h
9= 144h
h= 144/9
h=16 units
Hence the heeight is 16units
Please solve 64^x=4096
Answer:
2
Step-by-step explanation:
64x64=4096
So its 64^2=4096
Answer:
x=2
Step-by-step explanation:
Given: 64ˣ=4096
Take the logarithm of each side: log₆₄(64ˣ)=log₆₄(4096)
Final answer: x=2
What is the sum of sqrt3 - i and 2 - sqrt3i?
Answer:
THE ANSWER IS B YALL I GUESSED AND GOT IT RIGHT
Step-by-step explanation:
HAVE A NICE DAY :)
The sum of given numbers is 2+√3 +i(-1+√3)
How to add complex numbers?
A complex number is a kind of number which has two parts:
Real partImaginary partThe real part consists of real numbers whereas the imaginary part consists of numbers like i (iota=√-1)and its multiples.
When we add complex numbers, we add the real part and the imaginary part separately.
In this question:
Adding real parts: √3 +2Adding imaginary part: -i+√3i=i(√3-1)Therefore, we get a new complex number that is √3+2+i(√3-1).
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yes I need help with another one ASAP
Step-by-step explanation:
(-1,-1) (0,3)
3- -1 / 0 - -1 = 4/1 = 4
slope is 4
Can someone help me with these true or false questions thank you
Using the net below, find the surface area
of the pyramid.
4cm
2 cm
12 cm
Surface Area
=
[?] cm2
Enter
Answer:
everything is in the picture
Mrs. Parson cuts 1 /3 of a piece of construction paper. She uses 1 / 6 of the piece to make a flower. What fraction of the sheet of paper does she use to make the flower?NO LINKKKKKKKKKKKKKKKKKKKKSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSs
Answer:
1/3*1/6 is ur answer.
1/18
I NEED HELP PLEASE GUYS ITS FOR NOW!!
Answer:
202m
Step-by-step explanation:
Use pythagoream theorum to find the hypotenuse. So [tex]a^{2} +b^{2} =c^{2}[/tex], where the height (40m)=a and the anchor length (198m)=b. That leaves us with [tex]40^{2} +198^{2} =c^{2}[/tex], doing the math out for that we get 40,804=[tex]c^{2}[/tex], taking the square root of 40,804 we get our answer of 202m
The cost of a new car is $16,500. You can Finance the purchase by paying $500 down, and $350 a month for 60 months. What is the amount financed (Cash Price - Down Payment)?
Answer:
the amount financed is $16,000
Step-by-step explanation:
The computation of the amount financed is shown below:
As we know that
Amount financed = cash price - down payment
= $16,500 - $500
= $16,000
Hence, the amount financed is $16,000
If we deduct the down payment from the cash price so we can get the amount financed
And, the same would be considered
If you answer I will mark you Brainliest!
Answer:
divide the figure into two parts.
area of triangle = 1/2×base×height
area of triangle = 1/2×3×3
area pf triangle = 4.5 units²
area of square = side²
area of square = 3²
area of square = 9unit²
Answer:
The figure is made up of a square and a triangle.
We will find both of their areas separately and then combining them will give us the required area.
Area of the triangle : ½ × base × height
= ½ × 3 × 3
= ½ × 9
= 4.5 units²
Area of the square : (side)²
= 3²
= 9 units²
Now, required area = (4.5 + 9) units²
= 13.5 units²
HELP ME PLAESE ASAPPP
Can someone help me please with both questions?
I need the answer please
Step-by-step explanation:
So, it is a question of Arithmetic Progression.
Answer attached...
Hope it helps :)
) Every two out of three kids sang at the talent show. What percent of the kids did not sing at the talent show? (round)
The answer is 33 percent
hope this helps!
Answer:
33%
Step-by-step explanation: 1 out of three kids in each group do not sing 100/3 = 33
in circle B, m ZDBF = 75°,m FC =60° and DE and AC are diameters.
Need help with this question asap!!
Answer:
[tex]\huge{\{\fbox{\tt{Questions }}\}}[/tex]
The required measures of the circle are:
mDF = 75, m∠FBE 105, mFC=60
m∠CBE = 45, mDAC = 225. m∠ABE=135
m∠ABF=120
What are the sections of the circle?A section of a circle is a region enclosed by a chord and an arc of the circle. It is also called a circular sector. A circular sector is defined by its central angle, which is the angle between the two radii that form the sector, and its radius, which is the distance from the center of the circle to the endpoints of the sector.
Here,
A circle is shown,
mDF = 75 [shown in the image]
m∠FBE = 60 + ∠CBE
m∠FBE = 60 + ∠ABD [∠ABD=∠CBE]
m∠FBE = 60 + 45 [∠ABD = 180 - 75-60]
m∠FBE = 105,
Similarly,
mFC=60, m∠CBE = 45, mDAC = 225, m∠ABE=135, and m∠ABF=120
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