Answer: 32 gallons
Step-by-step explanation:
Given: Previous rate of dispensing water= 7 gallons per min
If Marty use 8 min showerhead then
Total amount of water dispensed= [tex]7\times8= 56\ gallons[/tex]
After Marty changed the showerhead to energy saving with equation
y=3x, where y is the amount of water dispensed as a function of the number of x minutes for the new showerhead.
When we put x=8 minutes, we get total amount of water dispensed=[tex]3\times8= 24\ gallons[/tex]
Water saved by Marty = 56-24 = 32 gallons
Hence, Marty save 32 gallons each day.
what is a function?
it is an expression involving one or more variables
examples:
2x +5
x^2
a+b
Which of the following are properties of the incenter of a triangle? Check all that apply. A. The incenter is where all of the bisectors of the angles of the triangle meet. B. The incenter of a triangle is always inside it. C. The incenter of a right triangle lies on the side opposite the right angle. D. The incenter is where all of the perpendicular bisectors of the sides intersect.
Incenter is nothing but a point inside a triangle where all interior angle bisectors intersect. So, the correct options are A) and B).
Incenter is nothing but a point inside a triangle where all interior angle bisectors intersect.
According to the definition of incenter the correct statement from the given options will be:
A). The incenter is where all of the bisectors of the angles of the triangle meet.
B). The incenter of a triangle is always inside it.
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Option A and B
Incenter of a Triangle Properties:
A. The incenter is where all of the bisectors of the angles of the triangle meet.B. The incenter of a triangle is always inside it.Step-by-step explanation:
The incenter is where the angle bisectors intersect, making choice A true.The incenter lies inside the triangle, making choice B accurate.The incenter doesn't necessarily lie on the right triangle's side opposite the right angle, making choice C incorrect.The incenter is not where all the perpendicular bisectors of the sides intersect, making choice D false.Rosa just finished installing a small koi Pond in her backyard and now needs to re-sod. One side of the koi pond is 2 feet shorter than the other side. One side of the garden is three times the longer side of the koi pond The other side of the garden is 5 feet longer than the first side. How much psi does Rosa need to buy? K
The vertices J(2,6), K(7,8), L(9,3), and M(?, ?) determine a square. Show your work to find the coordinates of M. Use complete sentences and proper grammar to give a justification why JKLM is a square.
the difference of 3 times a number and 20 is greater then 10
True or false. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.
A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.
Explanation:A trapezoid is a quadrilateral with one pair of parallel sides. It has two diagonals that connect opposite vertices. The diagonals of a trapezoid are not necessarily congruent because they have different lengths. However, one set of opposite sides of a trapezoid will always have equal slopes.
To see this, we can consider the equation of a line and the formula for slope. Let's say we have a trapezoid with vertices A, B, C, and D. The equation of the line passing through points A and B can be written as y = mx + b, where m is the slope of the line and b is the y-intercept. Similarly, the equation of the line passing through points C and D can be written as y = nx + c. Since the opposite sides of the trapezoid are parallel, the slopes m and n will be equal.
Therefore, the statement is true. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.
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29 out of 74 do not like rap
29/74 = 0.39
31 out of 74 do not like hip hop
31/74 = 0.42
0.39+0.42 = 0.81
answer is 0.81
A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50.
A=(4-g) 1.5
B=(4-g) + 1.5
C= 4g-g(1.5)
D=(4-g)g
Answer:
A=(4-g) 1.5
Step-by-step explanation:
Let g be the amount of glycerin in the lotion. We know that there are 4 ounces total of lotion; this means that there are 4-g ounces of the oil blend.
The oil blend costs $1.50 per ounce; this gives us the expression (4-g)1.5 for the oil blend.
Answer:
the awnser is A
Step-by-step explanation:
I did the test
Alejandro has two marbles. One weighs 0.56 grams, and the other weighs 0.825 grams. How much more does the second marble weigh?
0.265 grams
0.355 grams
0.769 grams
1.385 grams
A carton of juice shaped like a rectangular prism measures approximately 8 inches high and 4 inches along each edge. A cylindrical glass that is 3 inches in diameter is filled to a height of 3.5 inches. Approximately how many glasses of this juice can be poured from a full container? Use π π = 3.14.
great jobbb. very helpful i meant 5 stars lol my b
Simplify 5 • 2 • (–4) + 6 ÷ 2
-6•(-18).......help this is due tomorrow
Suppose you have a normally distributed set of data pertaining to a standardized test. The mean
score is 500 and the standard deviation is 100. What is the z-score of 800 point score?
n someone answer this question for me please : how can I write repeated multiplication using powers ?
Nine cards numbered 1-9 are flipped upside down. What is the probability of flipping up an even number?
answer for 10 points/other drop downs are x value and y values
The pair of numbers whose difference is 18 and whose product is as small as possible is? The minimum product is?
Two equations are given below: m + 5n = 20 m = n − 4 What is the solution to the set of equations in the form (m, n)? (3, 7) (0, 4) (5, 1) (2, 6)
Answer:
(m,n) = (0,4)
Step-by-step explanation:
We have
m + 5n = 20 -----------------------eqn 1
m = n - 4 ----------------------------eqn 2
eqn 1 - eqn 2
m + 5n - m = 20 - ( n- 4 )
6n = 24
n = 4
Substituting in eqn 2
m = 4 - 4
m = 0
So the correct set is (0,4)
(m,n) = (0,4)
What is the answer to -n+9n+3-8-8n
Solve the compound inequality. 7x > -35 and -5x > -50
Find the area of a triangle with a base of 10 meters and a height of 6 meters
do the opposite angles in a parallelogram have the same measure please explain why
Opposite angles in a parallelogram are equal. This is due to the property of parallel lines being crossed by a transversal line, which causes the corresponding angles to be equal.
Explanation:Yes, the opposite angles in a parallelogram always have the same measure. This happens because when lines are parallel and they get crossed by another line (called the transversal), the corresponding angles in the different parallel lines are equal.
In a parallelogram, the opposite sides are parallel. If you draw a diagonal inside the parallelogram, it acts as a transversal line crossing the parallel lines. Therefore, the angles it forms at the corners are equal to each other, meaning the opposite angles have the same measure.
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Describe how the sizes of the 1/2 strip and the 1/6 strip compare. Then descrube how the denominators of the fractions 1/2 and 1/6 are related
In order to have a clear understanding of how to write 500 words essay, you need to have at least the foggiest idea of what 500-word scholarship essay actually is! Let’s have a closer look at this type of the academic assignment.
The 1/2 strip is larger than the 1/6 strip because dividing something into fewer parts results in larger parts. The relationship between the denominators 2 and 6 is based on the number of equal parts into which a whole is divided, with 6 being a multiple of 2, indicating smaller parts for 1/6.
To compare the sizes of the 1/2 strip and the 1/6 strip, we should visualize the strips as portions of the same whole. Imagine a bar divided into 2 equal parts; one of those parts is the 1/2 strip. Now imagine the same bar divided into 6 equal parts; one of those parts is the 1/6 strip. It's evident that the 1/2 strip is larger than the 1/6 strip because when you divide something into fewer parts, each part is larger.
The denominators of the fractions 1/2 and 1/6 are related through the concept of divisibility and the number of equal parts into which a whole is divided. The denominator 2 in the fraction 1/2 tells us that the whole is divided into 2 equal parts, while the denominator 6 in the fraction 1/6 indicates that the whole is divided into 6 equal parts. Because 6 is a multiple of 2, each part of the 1/6 strip is smaller than each part of the 1/2 strip.
Verbal reasoning : Choose the most appropriate option to complete the statement . 'AC is to VJ as RO is to (??)'
Given that a is the longest side length in the triangle, which of the following inequalities would make the triangle above an obtuse triangle?
A. a2+b2< c2 B. a2+b2>c2 C. b2+c2< a2 D. b2+c2>c2
Answer:
it is abtuse triangle
Step-by-step explanation:
no step
Which set of side lengths is a Pythagorean triple?
can someone please help me?
Rectangle ABCD is similar to rectangle JKLM. AB = 10, BC = 8, CD = 10, DA = 8, and JK = 15. The area of rectangle JKLM is ____u2
Write an expression that is equivalent to
(23.6-7.1a-4.2b)-(5.8b-9a)
(23.6 - 9a - 5.8b)
Explanation:Steps to simplify the expression:
Combine constant terms:
(23.6 - 7.1a - 4.2b) - (5.8b - 9a) = 23.6 - 7.1a - 4.2b - 5.8b + 9a
Group terms by variable:
(23.6 - 4.2b - 5.8b) + (-7.1a + 9a)
Combine like terms:
19.6 - 10b + (-7.1a + 9a) = 19.6 - 10b + 2a
Rewrite the expression with the simplified terms:
(19.6 - 10b) + 2a
Therefore, the equivalent expression is (19.6 - 10b) + 2a.
workers have painted 920 square feet of an office they have completed 80% of their job how many square feet do they need to. paint in all
80% = 0.80
divide the area done by the percentage:
920/0.80 = 1150
total area is 1150 square feet