how long will it take for the pool to completely full with water? (explain why so i understand)
Answers
To find out how much can be filled in 1 minute, take the time and divide it into the volume. We'll use the second row (2 minutes and 8 gallons.)
8/2=4. So it takes 1 minute to fill 4 gallons. Now, you just divide 4 into 120.
120/4=30
It takes 30 minutes to fill the pool up to 120 gallons.
Related Questions
Suppose that you have 4 shirts (red, green, blue, yellow) and 3 pairs of shoes (black, brown, red). If you choose your shirt and shoes randomly, what is the probability that your shirt and shoes will NOT be the same color?
Answers
Of these 12 combos, only 1 has your shirt and shoes matching in color. This is when you pick the red shirt and red shoes. The other 12-1 = 11 outfits will not match.
The probability that you do not pick the same color shirt and shoes is 11/12 (exact fraction form) since there are 11 cases of nonmatching outfits out of 12 total. This is approximately equal to 0.9167 in decimal form which converts to 91.67%
What is the approximate solution of this system of equations?
y = x2 + 3x + 3
y = x2 + x + 2
(-0.5, 0.2)
(-0.5, 1.7)
(-0.1, 1.2)
(0.2, 1.5)
Answers
Comment the correct answer.
Answer:
(B)
Step-by-step explanation:
The given system of equations are:
[tex]y=x^2+3x+3[/tex] (1)
and [tex]y=x^2+x+2[/tex] (2)
Subtracting equation (2) from (1), we get
[tex]0=2x+1[/tex]
⇒[tex]2x=-1[/tex]
⇒[tex]x={\frac{-1}{2}}[/tex]
⇒[tex]x=-0.5[/tex]
Now, substituting the value of x=-0.5 in equation (2), we get
[tex]y=0.25-0.5+2[/tex]
⇒[tex]y=1.7[/tex]
Thus, the values of x and y are -0.5 and 1.7.
Therefore, the approximate solution of the given system of the equation is (-0.5, 1.7).
Hence, option (B) is correct.
the length of a rectangular garden is 4 m greater than the width. the area is 96 m to the second. find the dimensions of the garden.
Answers
3. Janet is flying a kite on a string that is 75m long. The kite is 62m above the ground. Estimate the distance between Janet and the spot on the ground directly beneath the kite.
(a) Draw a diagram showing Janet and the kite.
(b) What is the length of the string of the kite?
Answer:
Answers
For this, you will need to draw your own diagram, but I think you can do this if I explain it. It should look like a triangle. Where the string is a vertex, and the kite is an upper vertex. The bottom is the distance. Look at the example. You can label the distances on it if you want to.
c= length of the string (75m)
b= height of the kite (62m)
a will equal the distance between Janet and the spot on the ground beneath the kite.
Now, we plug it into the Pythagorean theorem.
a^2+b^2= c^2
a^2+ 62^2= 75^2
Square the numbers.
a^2+3844= 5625
Subtract 3844 on both sides.
a^2= 1781
Find the square root.
√1781= 42.2 or 42.
I hope this helps!
~kaikers
*Credit for picture to Google Images*
Miki, a resident of Kyoto, earns an annual salary of ¥6,760,950. If the Japanese government levies a 29.12% income tax on Miki’s tax bracket, what is her yearly take-home pay, to the nearest whole yen?
Answers
Her yearly take-home pay, to the nearest whole yen is 4792161¥
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, Miki, a resident of Kyoto, earns an annual salary of ¥6,760,950.
Since,
the Japanese government levies a 29.12% income tax on Miki’s tax bracket
Thus,
tax she pays = 6,760,950 *29.12%
tax she pays = 6,760,950 *29.12/100
tax she pays = 1,968,788.64¥
remaining income to take home = total income - tax
remaining income to take home = 6,760,950 - 1,968,788.64
remaining income to take home = 4792161.36¥
Therefore, her yearly take-home pay, to the nearest whole yen is 4792161¥
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Write an expression for the calculation double the number 18 and then add 14 divided in half
Answers
Hope this helped :)
Putri is searching for a secret cave that she knows is 3.72 kilometers from her home. Starting from her home, she walks 2.60 kilometers in a straight line before coming upon a large rock.
Climbing atop the rock, Putri spots the cave. She then turns 58 degrees to the right of her original path and walks to the cave. After exploring the cave, she looks back at the big rock and wonders how to get home.
Assuming Putri is facing the big rock, how many degrees to her left should she turn before walking home?
Answers
The Putri turned 36 degrees to her left should she turn before walking home if Putri is searching for a secret cave that she knows is 3.72 kilometers from her home. Starting from her home, she walks 2.60 kilometers in a straight line before coming upon a large rock.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have:
The total distance between cave to home AC = 3.72 km
The distance she walks AB = 2.60 km
The angle of turn = 58°
As we can see in the triangle ABC we can apply the sin law:
[tex]\rm \frac{AB}{sinx} = \frac{AC}{sin58\°}[/tex]
[tex]\rm \frac{2.6}{sinx} = \frac{3.72}{sin58\°}[/tex]
sinx = 0.5927
x = 36.35 ≈ 36°
Thus, the Putri turned 36 degrees to her left should she turn before walking home if Putri is searching for a secret cave that she knows is 3.72 kilometers from her home. Starting from her home, she walks 2.60 kilometers in a straight line before coming upon a large rock.
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Putri should turn 122 degrees to her left when facing the big rock to head back to her home. This direction aligns her with the original path she took to reach the cave.
To determine the number of degrees to her left Putri should turn, we need to analyze her movements using the angles involved.
Putri starts by walking 2.60 kilometers in a straight line.She spots the cave after climbing the rock and turns 58 degrees to the right of her original path.This new path takes her directly to the cave, which is a straight-line distance of 3.72 kilometers from her home.When Putri is in the cave facing the large rock, to get back to her home, she needs to turn in the opposite direction of her initial right turn:
Initially, she turned 58 degrees to the right.Facing the rock, she must turn 180 degrees - 58 degrees = 122 degrees to her left to be aligned with her starting path towards home.Putri should turn 122 degrees to her left when facing the big rock to head back to her home.
Dominic is building a bench with a seat in the shape of a trapezoid. One base is 5 feet. The other base is 4 feet. The perpendicular distance between the bases is 2.5 feet. what is the area of the seat
Answers
A = [(b1 + b2) x h] / 2
Where,
b1: Base 1
b2: Base 2
h: height, or distance between bases.
Substituting we have:
A = ((5 + 4) * (2.5)) / 2
A = 11.25 feet ^ 2
Answer:
the area of the seat is:
A = 11.25 feet ^ 2
The area of Dominic's trapezoid-shaped bench seat is 11.25 square feet. This is calculated using the trapezoid area formula with given bases of 5 and 4 feet and a height of 2.5 feet.
To find the area of the seat of Dominic's bench, which is in the shape of a trapezoid, we use the formula for the area of a trapezoid:
Area = 1/2 × (Base1 + Base2) × Height
In this case:
Base1 (b1) = 5 feetBase2 (b2) = 4 feetHeight (h) = 2.5 feetSubstitute these values into the formula:
Area = 1/2 × (5 + 4) × 2.5
Area = 1/2 × 9 × 2.5
Area = 4.5 × 2.5
Area = 11.25 square feet
Thus, the area of the trapezoid-shaped seat is 11.25 square feet.
What is 5(x+10)+x simplified
Answers
= 5x*2( square ) + 50
1st step - multiply 5 with everything in the parenthesis.
after multiplying everything in the parenthesis with 5 the answer will be - 5x+50+x.
2nd step - add like terms.
3rd - the answer will be 6x+50.
Hope it helps :)
If 16-7w=w+14-6w16−7w=w+14−6w16, minus, 7, w, equals, w, plus, 14, minus, 6, w, what is the value of w-1w−1w, minus, 1?
Answers
Hope dis helps
Answer:
Value of w = 1
w - 1 = 1 - 1 = 0
Explanation:
We have 16 - 7w = w + 14 - 6w
Firstly, we will find the value of w.
In order to find the value of w, we will solve the linear equation for w.
Now combine like terms
16 - 14 = w - 6w + 7w
2 = 2w
2w = 2
w = [tex] \frac{2}{2} [/tex]
w = 1
Now we will find the value of w - 1
Plug the value of w = 1 into w - 1
1 - 1
= 0
So, final answer is 0
I hope it will help you.
Luis skates 2/3 mile from his home to school. Isabella skates 2/4 mile to get to school. Who skates father?
Answers
The least common denominator of 3 and 4 is 12. This means that we have to change both fractions into equal fractions with denominators of 12.
To figure this out, we must set up a proportion.
2/3 = x/12
To solve this proportion, we must cross-multiply the fractions. We get:
24 = 3x
If we divide both sides by the coefficient of x which is 3, to get the variable x alone, we get:
x = 8
Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.
If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.
Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school. Because they have the same denominator, we can just compare the numerators. We know that 8 is greater than 6, thus Luis skates farther to get to school.
Final answer:
Luis skates further to school than Isabella, as 2/3 mile is greater than Isabella's distance of 1/2 mile after simplification.
Explanation:
The question revolves around figuring out who skates further to school, Luis or Isabella. Luis skates 2/3 mile from his home to school whereas Isabella skates 2/4 mile (which can be simplified to 1/2 mile) to get to school. To determine who skates further, we look at the fraction representing the distance each person skates.
Luis's distance is 2/3 mile, and Isabella's distance, after simplification, is 1/2 mile. Since 2/3 is greater than 1/2, Luis skates further to get to school than Isabella.
the ratio of red circles to blue circles is 1:3 How many more red circles would need to be added to make the ratio of red to blue 3:1?
Answers
What is the LCD (Least Common Denominator) of 4 1/6 5 4/7?
Answers
25/6, 39/7
For the denominators (6, 7) the least common multiple (LCM) is 42.
Therefore, the least common denominator (LCD) is 42.
Rewriting the original as equivalent fractions with the LCD:
175/42, 234/42.
Here are the steps to follow:
Find the Least Common Multiple of the denominators (which is called the Least Common Denominator).Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator
Then add (or subtract) the fractions, as we wish!
Hoped I helped!
The LCD of [tex]\( \frac{4}{6} \)[/tex] and [tex]\( \frac{5}{7} \)[/tex] is [tex]42[/tex]. This is because [tex]42[/tex] is the smallest number that both [tex]6[/tex] and [tex]7[/tex] divide into evenly, ensuring that [tex]\( \frac{25}{6} \)[/tex] and [tex]\( \frac{39}{7} \)[/tex] can be expressed with a common denominator of [tex]42.[/tex]
1. Convert [tex]\( 4 \frac{1}{6}[/tex] to an improper fraction:
[tex]\[ 4 \frac{1}{6} = \frac{4 \times 6 + 1}{6} = \frac{24 + 1}{6} = \frac{25}{6} \][/tex]
2. Convert [tex]\( 5 \frac{4}{7} \)[/tex] to an improper fraction:
[tex]\[ 5 \frac{4}{7} = \frac{5 \times 7 + 4}{7} = \frac{35 + 4}{7} = \frac{39}{7} \][/tex]
Now, the fractions [tex]\( \frac{25}{6} \)[/tex] and [tex]\( \frac{39}{7} \)[/tex] need to have a common denominator to find the LCD.
Finding the Least Common Denominator (LCD)
To find the LCD, we need to determine the least common multiple (LCM) of the denominators [tex]6[/tex] and [tex]7[/tex]
The prime factorization of [tex]6[/tex] is [tex]\( 2 \times 3 \).[/tex]
The prime factorization of [tex]7[/tex] is [tex]\( 7 \).[/tex]
The LCM of [tex]6[/tex] and [tex]7[/tex] is [tex]\( 6 \times 7 = 42 \).[/tex]
Verify and Convert to Common Denominator:
Convert both fractions to have a denominator of [tex]42[/tex]
[tex]\[ \frac{25}{6} \times \frac{7}{7} = \frac{175}{42} \][/tex]
[tex]\[ \frac{39}{7} \times \frac{6}{6} = \frac{234}{42} \][/tex]
Now, [tex]\( \frac{25}{6} \) converts to \( \frac{175}{42} \) and \( \frac{39}{7} \) converts to \( \frac{234}{42} \).[/tex]
Please help I will reward brainly!! Please , will mark brainly please !
Answers
134/2=67
X=67
Answer:
Answer X = 67
Step-by-step explanation:
so what you do is
180 - 46 = 134
then you devide 134 by 2 which is
134/2 = 67
Answer X = 67
please give me Brainliest if this was helpful, or a thankyou
A dripping faucet leaks 12 gallons of water per day. How many gallons does the faucet leak in 6 days?
Answers
How do you do this obe
Answers
a*2 + 6 = 16
Subtract 6 from both sides
a= 10
= 3.16
Tim fisher received a 1200 discount loan to purchase a computer the loan was offered at 18% for 180 days find the interest in dollars and the proceeds for the following problem
Answers
The interest is $106.30 and the proceeds is approximately $1093.70
Calculating simple interest.
The simple interest is the amount of interest charges on the amount being borrowed and its paid by the borrower.
The simple interest can be determined by using the formula;
[tex]S. I = \dfrac{p\times r \times t}{100}[/tex]
[tex]S. I = \dfrac{1200\times 18 \times \dfrac{180}{365}}{100}[/tex]
S.I = $106.30
The proceeds for the loan = Loan amount - interest
Proceeds = $1200 - $106.30
Proceeds = $1093.70
Which of the following had a graph that is wider than the graph of y=3x^2+2?
A. Y=3x^2+3
B. Y=0.5x^2+1
C. Y=-4x^2-1
D. Y=4x^2+1
Answers
Answer:
Out of the options given prior to the question, the graph that is wider than the graph y = 3x^2 + 2 would be B) y = 0.5x^2 + 1. Hope we helped! :D
How does the graph of g(x)=⌈x⌉+0.5 differ from the graph of f(x)=⌈x⌉?
A. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted up 0.5 unit.
B. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted left 0.5 unit.
C. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted down 0.5 unit.
D. The graph of g(x)=⌈x⌉+0.5 is the graph of f(x)=⌈x⌉ shifted right 0.5 unit.
Answers
To shift a function left, you add units to the independent variable.To shift it right, you subtract a constant from "x".
Example:
h(x)=⌈x+1⌉ is 1 unit left to f(x).
Answer: Here is your answer!! :)
Step-by-step explanation:
Plot the following points on number line without measuring
Answers
To plot points on a number line without measuring, it needs to follow various points mentioned below.
What is a number line?A number line is a visual representation of the real number system, where every point on the line corresponds to a unique real number.
Here,
To plot points on a number line without measuring, you can follow these steps:
Repeat steps 4 and 5 for all the points you want to plot on the number line.
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An iron bar 468 3/4 inches long is to be cut into 6 1/4 inch sections. How many sections of this length will there be?
Answers
Help from 1-3 show work please!!
Answers
2. (n) + (n+1) + (n + 2)
(Not to sure of this one, xd)
3.
30x-40
Laila said 4 equals -4. Is Laila correct? Use the number line and words to support your answer
Answers
Laila is wrong due to the fact that its not possible to have 4 = -4 on a number line...
A rectangular prism has a length of 2 1/2 meters, a width of 4 meters, and a height of 2 1/4 meters.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
Please Help! Quickly!
Answers
2 1/2 is equal to 2.5
2 1/4 is equal to 2.25
Then we plug our numbers into the formula used to find the volume of a rectangle:
V=L*W*H
Volume equals Length times Width times Height.
V=2.5*4*2.25
V=22.5
22.5 is already in decimal form, or if you'd rather have a mixed number, your answer is 22 [tex] \frac{1}{2} [/tex]
Volume of rectangular prism is [tex]11\frac{1}{4}[/tex] cm³
Volume based problem;Given that:
Length of prism = [tex]2\frac{1}{2}[/tex] meter = 5/4 meter
Width of prism = 4 meter
Height of prism = [tex]2\frac{1}{4}[/tex] meter = 9/4 meter
Find:
Volume of rectangular prism = lbh
Volume of rectangular prism = [5/4][4][9/4]
Volume of rectangular prism = 45 / 4
Volume of rectangular prism = [tex]11\frac{1}{4}[/tex] cm³
Find out more information about 'Volume'.
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estimate the area of a circle with a radius of 27 meters
Answers
how you would write an expression that shows the cost to rent the bicycle for d days.
Answers
d= number of days
r= rental cost
C= r * d
C= rd
Example:
If it cost $10 per day and you rented for 5 days, the total cost would be:
C= ($10)(5)
C= $50
Hope this helps! :)
Eight minus the quotient of two and a number X
Answers
8 - (2/x) should be your answer
hope this helps
Answer:
8 - 2/x
Step-by-step explanation:
All you have to do is read the problem and then you will get your answer so as you see it say 8 - ok you get that now when it say the the quotient of two that means it’s is 2 over x so like the 2/x
eight minus the quotient of two and a number x
Hoped I Helped
how many 3s are in 1/8?
Answers
Answer:
less than 1
Step-by-step explanation:
1/8 can be translated to 0.125, multiply 0.125 by 3 to get 0.375.
What I think your assignment told you to do is calculate how many times 1/8 goes into 3 though, simply put, you just need to multiply 8 by 3 to find this result, which is 24.
What is the value of x in simplest radical form ?
Answers
Hypotenuse = [tex] \sqrt{a^{2}+b^{2}} [/tex]
Substitute 20 for A and 21 for B
[tex] \sqrt{20^{2}+21^{2}} [/tex]
Solve exponents
20^2 = 400
21^2 = 441
Hypotenuse = [tex] \sqrt{400 + 441} [/tex]
Add
400 + 441 = 841
Hypotenuse = [tex] \sqrt{841} [/tex]
Solve square root
[tex] \sqrt{841}[/tex] = 29
Hypotenuse = 29
How do u find the mean? I've never done this before the subject is try check and revise
Answers
2,4,3,6,5
To find the mean you have to add those numbers
2+4+3+6+5 = 20
So you have to divide 5 by 20 because there are 5 number
20 divide 5 = 4
Mean equal 4
Answer,
The mean is the average of the numbers. It's quite simple to find the mean. All you do is, add all the numbers togter & divide by how many numbers there are. In simpler words, it is the sum divided by the count.
For example,
The mean of the numbers is, 50
Explanation,
20 + 30 + 40 + 50 + 60 + 70 + 80 = 380
Then we divide 350 by how many numbers there are, 7. Then we get 50.
Hope this helps :-)