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Work Shown:
1/4 = 0.25
7/10 = 0.70 = 70%
We are told that 0.25 gallons of water fills 70% of the pool
We want to find how many gallons of water (call it x) are needed to fill 100% of the pool.
Set up the proportion below and solve for x
(0.25 gallons)/(70% filled) = (x gallons)/(100% filled)
0.25/70 = x/100
0.25*100 = 70x ....... cross multiply
25 = 70x
70x = 25
x = 25/70
x = (5*5)/(5*14)
x = 5/14 gallons
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An alternate method:
1/4 gallons = 7/10 pools filled
(10/7)*(1/4 gallons) = (10/7)*(7/10 pools filled)
(10*1)/(7*4) gallons = (10*7)/(7*10) pools filled
10/28 gallons = 1 pool filled
(5*2)/(14*2) gallons = 1 pool filled
5/14 gallons = 1 pool filled
In the second step, I multiplied both sides by 10/7 so that the "7/10" turns into "1".
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Yet another alternate method:
1/4 = 10/40
7/10 = 28/40
We need 10/40 gallons of water to fill 28/40 of one pool. We can multiply both fractions by 40 to indicate that 10 gallons of water will fill up 28 pools.
So we have this ratio
10 gallons : 28 pools
Dividing both parts by 28 tells us how many gallons are needed for one pool
10 gallons : 28 pools
10/28 gallons : 28/28 pools
10/28 gallons : 1 pool
5/14 gallons : 1 pool
how to make 9.37% into decimal
Answer: divide by 100 is .0937
Step-by-step explanation:
2 (y-1) ≥8
please answer
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
y ≥ 5
Step-by-step explanation:
Distribute
2y - 2 = 8
+2. +2
2y/2 = 10/2
y = 5
What is the amount of sales tax owned in a $39 jacket if the tax rate is 5%
Answer:
$1.95
Step-by-step explanation:
[tex] \frac{1}{32} \times \frac{1}{2 {}^{4} } = ( \frac{1}{4} ) {2}^{x} find \: x[/tex]
tell this question
Answer: x=1/384
Step-by-step explanation: Hope this help :D
Write a system of linear inequalities represented by the graph.
Inequality 1:
Inequality 2:
Answer:
x ≥ -1
y < 3
Step-by-step explanation:
Answer:
Inequality 1: x ≽-1
Inequality 2: x ≼ 3
can you find the area for this?
Answer:
b. is the right answer of your question
Answer:
106.5=0.01065
26.6=0.00266
60.35=0.00266
53.25=0.005325
Jennifer needs to use a ladder to clean a second floor window on a building. If the window is 13ft above the ground and the base of the ladder is 4ft from the building, which equation below can be used to determine the length of the
Ladder needed to reach the window
A 42 + 139 = 2
В
4² + x² = 13²
С
132_4? = ?
D
132P = 42
Answer:
Step-by-step explanation:
we have a right triangle,
to find out the hypotenuse, h
H^2=13^2+4^2
H^2=169+8=177
The required equation would be x² = 13² + 4² which is determined by Pythagoras theorem that is used to the length of the Ladder needed to reach the window.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
What is Pythagoras theorem?Pythagoras theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.
We have given that the window is 13ft above the ground and the base of the ladder is 4ft from the building
As per the condition, We have a right triangle.
To find out the hypotenuse x
By Pythagoras theorem,
⇒ x² = 13² + 4²
⇒ x² = 169 + 8
Therefore, the equation would be x² = 13² + 4²which is used to determine the length of the Ladder needed to reach the window.
Hence, the correct answer would be an option (A).
Learn more about Pythagoras's theorem here:
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Which of the following are solutions to the equation below?
Check all that apply
x2 + 4x + 4 = 12
Answer:
C. 2√3 - 2Step-by-step explanation:
[tex]x^2 + 4x + 4 = 12\\\\x^2+2\cdot x\cdot2+2^2=12\\\\(x+2)^2=12\\\\x+2=-\sqrt{12}\quad\vee\quad x+2=\sqrt{12}\\\\x=-2\sqrt{3}-2\quad\vee\quad x=2\sqrt3-2[/tex]
Find the missing angle
Given that = 3.14, calculate the circumference of the circle with radius 10cm.
solve this f(x)=1/2|x-1|-1
Answer:
x1 = -1,x2 =3
Step-by-step explanation:
Need help with this assignment!
Answer:
x=3
Mark me if I helped you❤️
Rushi ran 7.35 miles on Monday and 2.29 miles on Tuesday. How many more miles did Rushi run on
Monday than Tuesday?
Answer:
5.06
Step-by-step explanation:
hope this helps!
Clare used 30% less butter this month than last month when baking holiday treats. If she used 250 tablespoons of butter last month, how many tablespoons did she use this month?
Answer:
175 tablespoons.
Step-by-step explanation:
250 × 30% = 75
250 - 75 = 175
helppppp!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
1.1(1.8)(2.5)=4.95
If a solution to a linear system of equations is no solution, then what must be true about the graph of the system?
Answer:
Step-by-step explanation:
The lines are parallel to one another.
A linear system of equations has no solution if the graphs are parallel and the two lines never meet.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
There can be one solution to a system of two linear equations, an infinite number of solutions, or no solutions at all. The number of solutions to a system of equations can be used to categorize it.
A system is deemed consistent if there is at least one solution to the problem. A consistent system is said to be independent if it only has one possible outcome.
Thus, a linear system of equations has no solution if the graphs are parallel and the two lines never meet.
Learn more about the equation here,
https://brainly.com/question/10413253
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There are _____ tenths in 2 tenths
Please?
Answer:
Not sure what you mean, but there are 2 tenths in two tenths?? Just incase you meant "How many hundredths are in two tenths", the answer would be 20 hundredths.
Step-by-step explanation:
Find the slope of the line that passes through the pair of points
(-13,7) and (1, -14)
Answer:
m= -3/2
Step-by-step explanation:
I hope this helps
18 decreased 12%
NEED HELP ASAP
Answer:
17.88
Step-by-step explanation:
18- 12/ 100=
447/24=
then simplify
Answer:
20.16
Step-by-step explanation:- 12% × 18 =
- 12 ÷ 100 × 18 =
- 12 × 18 ÷ 100 =
- 216 ÷ 100 =
- 2.16
PLS PLS PLS HELP 100 POINTS no scamming
Answer:
parallelogram:
Hexagon:
Triangle:
Step-by-step explanation:
Answer:
uh what is scamming?????
Select the ratio that is not equivalent to 6:16 PLZ AWNSER NOW
1. 3:8
2. 2 to 8
3. 24/48
Answer:
2. 2 to 8and3. 24/48Step-by-step explanation:
6:16 simplifies to 3:8, not to 2:8. And 24/48 simplifies to 1/2, not to 6:16.
I would appreciate it if you would please mark me brainliest! Have a blessed day!
what will happend if agricultural land decrease
can i get the crown please ↑ ↑ ↑ ↑ ↑ ↑
they have pictures thats
the answer
please solve! thanks!
Answer:
uhm no
Step-by-step explanation:
Answer:
arc 1 = 108 degrees
angle 2 = 54 degrees
Step-by-step explanation:
180 - 72 = 108 (half circle -72)
draw a line from center of circle to tangent point.
this line is perpendicular to the tangent line.
all radii are equal.
then, triangle made with the new line is isosceles with two equal angles.
those angles are 36 degrees each (180 - 108 = 72, 72/2 = 36)
line drawn from center to tangent point is 90 degrees so:
90 - 36 = 54 degrees
PLS HELP ME ! IM GIVING BRAINLIEST
Answer: 15 feet
Step-by-step explanation:
I divided 20 by 12 on the calculator and I got a repeating decimal (1.6666) Then, not clearing the calculator, I multiplied that by 9 and if you followed the steps, you should get 15.
y+1=2(x-4) graph the equation
M a t h w a y will help you my friend!
I was struggling with math and using it got me get back on track :)
Can someone help me answer these two questions
Answer:
1. c. 2
2. a. positive
Step-by-step explanation:
Hope this helps!
Answer:
slope is 2
horizontal line = 0, not undefined
Step-by-step explanation:
6.4x+2.3=47.1 solve for x.
Answer:
x=7
Step-by-step explanation:
Answer:
X=7
Step-by-step explanation:
1.) Subtract 2.3 from both sides makeing it 6.4x= 44.8
2.) DIvide 6.4 on both sides making it X=7
Plzzz help I will give you 25 points
Write an equation of a like that passes through the points (9,5) and (6,7)
Answer:
y=-2/3x+11
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(7-5)/(6-9)
m=2/-3
m=-2/3
y-y1=m(x-x1)
y-5=-2/3(x-9)
y=-2/3x+18/3+5
y=-2/3x+6+5
y=-2/3x+11
A
The length of Kathy's rectangular
garden is 4 feet more than the width. If
the perimeter of her garden is 40 feet,
what is the length of Kathy's garden?
Half the perimeter is the length + the width.
Let the width = x
The length is x + 4. ( 4 feet more than the width)
Now you have x + x + 4 = 20
Combine like terms:
2x + 4 = 20
Subtract 4 from both sides:
2x = 16
Divide both sides by 2:
X = 8
The width is 8 feet
The length is 8 + 4 = 12 feet
Answer:12
Step-by-step explanation:
because im smart