The cost per gallon of water is A)$0.0029.
What is word problem?
Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement. Determining whether two provided statements are equal with respect to a collection of rewritings is known as a word problem in computational mathematics.
Here According to the question ,
Cost of 1600 cubic feet of water = $34.80
Now Here 1 cubic feet = 7.481 gallon then,
Then 1600 cubic feet = 11968.83 gallon
Cost of 1 gallon of water = [tex]\frac{34.80}{11968.83}[/tex] = $0.0029
Hence the cost per gallon of water is A)$0.0029.
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Sarah runs around this track for PE. What is the distance around this track
The distance around the track is the perimeter of the given shape which would be = 572.36
What is perimeter?Perimeter of an area or an object is the total distance around that area or object.
The shape can be disintegrated as 2 semi circles(a circle) and a square.
The perimeter of a circle = 2πr
where r = 37
π = 3.14
perimeter = 2×3.14 × 37 = 232.36meters
Perimeter of square = 4 ×a
where a = 85
perimeter of square = 4×85 = 340
Therefore the distance round the track = 232.36+340= 572.36
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Please help me with these 2 questions asappp!!!
5. A'B'C'D': A'(−3, 2), B'(1, 2), C'(1, 4), D'(−3, 4)
A"B"C"D": A"(−3, -2), B"(1, -2), C"(1, -4), D"(−3, -4)
6. The amount of the rotation is 180 degrees.
What is the angle of the rotation in this double reflection example? In this double reflection example, the angle of rotation is 180 degrees. This means that the object has been reflected twice across the same line. This is easily seen in the diagram, where the object is reflected over the line, and then reflected again over the same line. The angle of rotation in this example is the amount of rotation that has taken place between the two reflections. In this case, the angle of rotation is 180 degrees, which means that the object has been rotated by exactly half a circle. This type of double reflection is often used in mathematics and physics, and is a useful way to describe the movement of an object.To learn more about amount of the rotation refer to:
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-58.8 ÷ -245 + (-3.5 x 2) ^3
Answer:
=−42.875x6+0.24
Step-by-step explanation:
−58.8
−245
+(−3.5x2)3
=0.24+−42.875x6
What is the sum of 11/12 and 11/12 explain for a 4th grader to understand
The sum of the two fractions 11/12 + 11/12 = 11/6
How to add the two fractions?We want to sum the two fractions:
11/12 + 11/12
Remember that always that we add fractions with the same denominator (like in this case) we can directly add the numerators, then in this case the sum will be:
11/12 + 11/12 = (11 + 11)/12 = 22/12
Now we can simplify that fraction by dividing both numeartor and denominator by 2, we will get:
22/2 = 11
12/2 = 6
So we can rewrite the fraction as:
11/6
That is the outcome.
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Sixth grade AA.1 Solutions to inequalities P9N
Which of the following are solutions to the inequality below? Select all that apply.
56
C
27 2-
c = 7
Submit
C = 1
>
C = 8
>
c=2
The inequality -4 ≤ v has solutions v = -3 , v = -4, v = 3
What is inequality ?
An inequality is an expression that shows the non-equal comparison of the two or more numbers and variables. A number line can be used to represent numbers put on regular intervals. A number line is sometimes used to represent an inequality.
For an inequality where we have a variable, we define the solutions as the values that the variable can take such that the inequality becomes true.
v = -3
v = -4
v = 3
Here the inequality is:
-4 ≤ v
So the solutions can be any value equal or larger than -4.
These are:
v = -3
v = -4
v = 3
Therefore, The inequality -4 ≤ v has solutions v = -3 , v = -4, v = 3
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Nora leans a 24-foot ladder against a wall so that it forms an angle of 76∘with the ground. How high up the wall does the ladder reach? Round your answer to the nearest hundredth of a foot if necessary.
By using a trigonometric relation, we will see that the stari is 23.3ft high up the wall.
How high up the wall does the ladder reach?Think of a right triangle with an hypotenuse that measures 24 ft (like the length of the ladder) and we know the angle opposite to the cathetus that represent the height, which is 76°.
Then we can use the trigonometric relation:
sin(a) = (opposite cathetus)/(adjacent cathetus)
Replacing the values that we know:
sin(76°) = H/24ft
24ft*sin(76°) = H = 23.3ft
The star is 23.3ft high up the wall.
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Gabe goes to the mall. If d is the number of items he bought, the expression 13.09 d plus 28 gives the amount he spent in dollars at one store. Then he spent 22 dollars at another store. Find the expression which represents the amount Gabe spent at the mall. Then estimate how much Gabe spent if he bought 4 items
Estimate the amount that Gabe spent if he bought 4 items will be $102.36.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Gabe goes to the mall. If d is the number of items he bought, the expression 13.09 d plus 28 gives the amount he spent in dollars at one store. Then he spent 22 dollars at another store.
Then the equation that represents the total amount is given as,
T = 13.09d + 28 + 22
T = 13.09d + 50
Then estimate the amount that Gabe spent if he bought 4 items will be given as,
T = 13.09(4) + 50
T = 52.36 + 50
T = $102.36
Estimate the amount that Gabe spent if he bought 4 items will be $102.36.
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Which expression is equivalent to 3x2+(5x−8x2)+4−(5x+2)
Answer: -5x^2 + 2
Step-by-step explanation:
Please I need help it’s due tomorrow I’m just a bit confused
Answer:
Step-by-step explanation:
3(x-1)2+2x-7 for x=3
Answer:
11
Step-by-step explanation:
3(3-1)2+2(3)-7 = 3(2)2+6-7 = 12-1 = 11
find the value of help
Please help
Answer:
[tex]x=29^{\circ}[/tex]
Step-by-step explanation:
Please refer to the picture attached as I labeled the angles.
Given
[tex]\angle{B}=90^{\circ}[/tex]
[tex]\angle{ADB}=58^{\circ}[/tex]
[tex]AD=CD[/tex]
[tex]\angle{ACD}=\angle{CAD}[/tex] which also equals x in your picture.
We need to use the Exterior Angle Property to evaluate x.
This property states that the exterior angle equals sum of two interior opposite angles.
[tex]\angle{ACD}+\angle{CAD}=58^{\circ}[/tex]
Substitute x for [tex]\angle{ACD}[/tex] and [tex]\angle{CAD}[/tex].
[tex]x+x=58^{\circ}[/tex]
Add x and x.
[tex]2x=58^{\circ}[/tex]
[tex]x=29^{\circ}[/tex]
Answer:
The angle is 32
Step-by-step explanation:
The formula for the sum of interior angles is [tex](n-2)180[/tex]
We have a triangle inside a triangle.
A triangle has 3 sides.
[tex](n-2)180\\(3-2)180\\1(180)\\180[/tex]
The picture shows us an angle of 90 and 58.
All 3 angles must add up to 180.
[tex]180-90-58[/tex]
[tex]x=32[/tex]
A bag of Halloween candy contains 4 Snickers, 3 Milky Ways and 5 Kit Kat bars. You reach into the bag, grab a bar and eat it. You reach into the bag, grab a second bar and eat it too. What is the probability of getting a Kit Kat and then a Milky Way?
The probability of getting a Kit Kat and then a Milky Way candy bars is the fraction 5/44
Probability of an event without replacementThe probability of an event without replacement implies that once an item is drawn, then we do not replace it back to the sample space before drawing another item.
total number of candy bars = 12
probability of first getting a Kit Kat candy bar = 5/12
probability of then getting a Milky Way candy bar = 3/11
probability of getting a Kit Kat and then a Milky Way candy bars = 5/12 × 3/11
probability of getting a Kit Kat and then a Milky Way candy bars = 5/44
Therefore, the probability of getting a Kit Kat and then a Milky Way candy bars is the fraction 5/44.
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what is the slope for the graph? please help
1.2
2.-1/2
3.-5
d.-1/5
Therefore , the solution of the given problem of slope comes out to be
m = -5.
Explaining the slope.A line's slope determines how steep it is. A gradient-based equation has a phenomenon called a gradient overflow. The slope is determined by dividing the average of the run (horizontal difference) between two points by the rise (vertical difference) between those same two points. The hill variety of an equation, represented by the notation y = mx + b, is used to model the fixed path issue. The point in which the grade is m, a = b, and the line's y-intercept is located (0, b). For the trigonometric formula y = 3x - 7, the slope y and una are as follows: (0, 7). The y-intercept is situated when the slope of the line is m and b.
Here,
Given :
Points in the graph where line touches on x and y axes
So,
Point = (1,11) and (3,1)
Thus ,
By using slope formula :
=> m = y2 -y1 /x2-x1
=> m = 11 -1 / 1-3
=> m = 10/-2
=> m =-5
Therefore , the solution of the given problem of slope comes out to be
m = -5.
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For a square matrix A, (adjA)A = I then A) |A|= 1 B) |A|=0 C) |A|=2 D) |A|=4
For a square matrix A, (adjA)A = I then |A|= 1
What is Matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns.
A square matrix is a matrix with the same number of rows and columns.
(adjA)A = I
A⁻¹=AdjA/|A|
multiplying both sides with A gives
AA⁻¹=A(AdjA)/|A|
∴A(adjA)=∣A∣I
|A| =1
Hence, For a square matrix A, (adjA)A = I then |A|= 1
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A town has a population of 5000 and grows at 5% every year. To the nearest tenth of a year, how long will it be until the population will reach 8100?
To the nearest tenth of a year, it will be approximately 27.4 years for the population to reach 8100.
What is the growth rate?
Growth rates are used to express the annual change in a variable as a percentage. A positive growth rate indicates a variable is increasing over time; a negative growth rate indicates that it is decreasing.
To find out how long it will take for the town's population to reach 8100, we can use the formula:
time = (ln(8100/5000)) / ln(1 + growth rate)
where growth rate is 0.05 (5%) and ln is the natural logarithm.
Plugging in the numbers we get:
time = (ln(8100/5000)) / ln(1 + 0.05) = (ln(1.62)) / ln(1.05)
Hence, To the nearest tenth of a year, it will be approximately 27.4 years for the population to reach 8100.
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Answer:
The correct answer would be 9.9.
Step-by-step explanation:
If 1% of a number equals 5, find 2% of that number.
If 1% of a number equals 5, find 2% of that number is 2
What are algebraic expressions?Algebraic expressions are described as expressions composed of variables, constants, factors, coefficients and terms.
Arithmetic operations also make up these expressions, they are;
DivisionBracketAdditionParenthesesMultiplicationSubtractionAlso, fractions are described as part of a whole element, number or variable
From the information given, we have that;
1% of a number is 5
Let the number be x
1/2x = 5
Make 'x' the subject
x = 10
Substitute the value
2/10 of x
2/10 × 10
2
Thus, the value is 2
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Your teacher mixed milliliters of blue water and milliliters of yellow water in a ratio of 2:3. Draw a diagrahm
Answer: blue water: 00
Yellow water: 000
Step-by-step explanation:
just show how many parts
What process is shown in the diagram below?
685
E and Emilis Qytapwap and Emera
While Waste Whatsite
MCHOMB
978
A. Use of
restriction
enzymes
electrophoresis
C. Polymerase
chain
reaction
Specifically cutting DNA at the restriction site to create sticky ends, EcoRI is a type II restriction enzyme in nanometer .
what is nanometers ?The International System of Units defines a nanometer, also referred to as a nanometer, as being one billionth of a metre and one thousandth of a picometre. A nanometer is denoted by the digits 1 109 m and 1/1000000000 meters in scientific notation. In the International System of Units, the prefix "nano" denotes a billionth, or 10-9. One billionth of a meter is the size of the metric length unit known as a nanometer (0.000000001 m). It is a short unit of length, denoted by the letter n.
given
On an agarose gel stained with ethidium bromide, the digested DNA may be seen and compared using molecular size ladders.
The ligation reaction becomes more effective as a result. EcoRI is a restriction endonuclease enzyme that was identified from the E. coli species (pronounce "eco R one").
It belongs to the restriction modification system and is a restriction enzyme that breaks down DNA double helices into fragments at particular locations.
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John has a collection of 10 paise ,15 paise , 20 paise coins in the ratio of 2:5:9 and his total collection
Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle T′R′W′. Which ordered pair best represents the location of point R′?
An ordered pair which best represents the location of point R′ include the following: B. (−3n, −5n).
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
Next, we would have to dilate the coordinates of the preimage (Triangle TRW) by using a scale factor of n centered at the origin as follows:
Ordered pair T (-3, 5) → Ordered pair T' (-3 × n, 5 × n) = Ordered pair T' (-3n, 5n).
Ordered pair R (-3, -5) → Ordered pair R' (-3 × n, -5 × n) = Ordered pair R' (-3n, -5n).
Ordered pair W (4, -5) → Ordered pair W' (4 × n, -5 × n) = Ordered pair W' (4n, -5n).
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Complete Question:
Triangle TRW will be dilated by a scale factor of n with the origin as the center of dilation to create triangle T'R'W'. Which ordered pair best represents the location of point R′?
answer choices
(-3/n, -5/n)
(−3n, −5n)
(−3+n,−5+n)
(−3−n,−5−n)
scott wants to buy a new tablet that costs 440 after taxes. he earns 11.50 per hours each week. of scott spends 100 each week on food and saves the rest for the tablet how long would it be for him to save money for the tablet
He can buy the tablet though it costs 440 after taxes just within 2 days by the given information.
What is Algebraic expression ?
Algebraic expression can be defined as the combination of variables, constants.
Given,
scott wants to buy a new tablet that costs 440 after taxes. he earns 11.50 per hours each week. of scott spends 100 each week on food
and saves the rest for the tablet.
per hour he earns 11.50 so per day could be = 11.50*24
= 276.
So, per day he earns 276.
So, for 2 days = 276*2
= 552
So, let us suppose in this only he spent 100 for food
so,
remaining amount could be 552-100
= 452
he can buy the tablet though it costs 440 after taxes .
Hence, he can buy the tablet though it costs 440 after taxes just within 2 days by the given information.
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27. (-2,-6). О y (1,3) X how do I write this in slope intercept form
Answer:
y = 3x
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 6 ) and (x₂, y₂ ) = (1, 3 )
m = [tex]\frac{3-(-6)}{1-(-2)}[/tex] = [tex]\frac{3+6}{1+2}[/tex] = [tex]\frac{9}{3}[/tex] = 3 , then
y = 3x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (1, 3 ) , then
3 = 3(1) + c = 3 + c ( subtract 3 from both sides )
0 = c
y = 3x + 0 , that is
y = 3x ← equation of line
Which is longer 92.1 or 0.33
Answer:
92.1
Step-by-step explanation:
0.33 is smaller then 92.1, so 92.1 would be longer.
(I was the one who gave it a 1 star since I was fooling around, lol)
Solve the problem below:
6315*41=
Show your work
The value of 6315 ×41 is 260391.
What is Multiplication?Multiplication is a method of finding the product of two or more numbers
We have to find the product of 6315 times of forty one
6351
× 41
_______
6351
25404+
__________
260391
Hence, the value of 6315 ×41 is 260391.
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If Joe currently benches a maximum of 200 lbs, but wants to reach at least 220, how much more weight does Joe need to add to his max? Remember to write this as an inequality
Joe needs to add x ≥ 20 lbs to bench at least 220 lbs
What is inequality?A linear inequality compares two values. All the ordered pairs that make the linear inequality a true statement exist on one side of the linear equation, which we get by replacing the inequality sign with the equal sign.
Given,
Joe benches maximum of 200lbs
y ≤ 200
multiplying with -1
- y ≥ - 200 -----(1)
he wants to reach at least 220lbs
y' ≥ 220 -----(2)
To reach at least 220 lbs,
Let he needs to add x lbs at max
x = y' - y
Adding inequalities (1) and (2)
y' - y ≥ 220 - 200
⇒ x ≥ 20
Hence, x ≥ 20 lbs weight should be added to reach at least 220 lbs bench-press.
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According to the American Academy of Cosmetic Dentistry, 75% of adults believe that an unattractive smile hurts career success. Suppose that 25 adults are randomly selected. What is the probability that more than 22 of them would agree with the claim?
97.03% probability that 15 or more of them would agree with the claim.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
P(X = x) = [tex]C_{n,x} p^x (1-p)^{n-x[/tex]
where [tex]C _{n,x[/tex] = n! / r! (n-r)!
And p is the probability of X happening.
75% of adults believe that an unattractive smile hurts career success.
p = 0.75
and n = 75
Now, the probability that 15 or more of them would agree with the claim
P(X≥ 15) = 1 - P(X< 15)
So, P(X< 15) = P(X=0) + P(X=1) + P(X=2) + ..........................P(X=14)
and, P (X = 14) = [tex]C_{25, 14} (0.75)^{14} (0.25)^{11[/tex] = 0.0189
P (X = 13) = [tex]C_{25, 13} (0.75)^{13} (0.25)^{12[/tex] = 0.0074
P (X = 12) = [tex]C_{25, 12} (0.75)^{12} (0.25)^{13[/tex] = 0.0025
P (X = 11) = [tex]C_{25, 11} (0.75)^{11} (0.25)^{14[/tex] = 0.0007
P (X = 10) = [tex]C_{25, 10} (0.75)^{10} (0.25)^{15[/tex] = 0.0002
P (X = 9) = [tex]C_{25, 9} (0.75)^{9} (0.25)^{16[/tex] = 0
Then, P(X< 15)
= P(X=0) + P(X=1) + P(X=2) + ..........................P(X=14)
= 0.0002+0.0007+0.0025+0.0074+0.0189
= 0.0297
and, P(X≥ 15) = 1 - P(X< 15)
= 1- 0.0297
= 0.9703.
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Wesley covered this figure with the unit square shown to find the area. A rectangle and square are shown. The square is labeled 1 square unit. The length of the rectangle is approximately 6 times as long as a side of the square, and the width of the rectangle is approximately 3 times as long as a side of the square. Which figure shows how he covered the square and the correct area?
The required figure shows the square of a square unit and rectangle with a length of 6 times the side of the square and a width of 3 times the side of the square.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
here,
Wesley covered this figure with the unit square shown to find the area. The length of the rectangle is approximately 6 times as long as the side of the square, and the width of the rectangle is approximately 3 times as long as the side of the square.
Area of square = 1 unit² [side = 1 unit]
Area fo the rectangle = [1 ×6] × [1×3] = 18 unit²
Thus, the required figure shows the square of a square unit and rectangle with a length of 6 times the side of the square and a width of 3 times the side of the square.
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Please show me how to work out these math problems. Only the ones with stairs next them please. Thank you.
On solving the provided question, we can say that the surface area of the figure 7 = 155sq units
what is surface area ?An indication of the overall space occupied by an object's surface is its surface area. A three-dimensional shape's surface area is the total amount of space that surrounds it. A three-dimensional shape's entire surface area is known as its surface area. The surface area of a cuboid with six rectangular faces may be calculated by adding the areas of each face. As an alternative, you may use the formula below and name the box's dimensions as follows: Surface (SA) = 2lh + 2lw + 2hw. Surface area is a measurement of the entire amount of space filled by a three-dimensional shape's surface (a three-dimensional shape is a shape that has height, width, and depth).
here,
the surface area of the figure 7 =
area of square + 2*area of rectangle =
3*3 + 2*9*8 = 9 + 144 = 155sq units
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find the equation of tangent and normal to the surface z^2=4(1+x^2+y^2)at (2,2 ,6)
Answer:We have,
f(x,y,z)=2x
2
+y
2
+2z=3
∂x
∂f
=4x,
∂x
∂f
=2y,
∂x
∂f
=2z
Step-by-step explanation:
good luck :}
Your grades on your first three math tests were 81, 76, and 78. You have one more test to take. What grade do you need on that last test in order to get an 80 average? Write an equation and solve to determine your answer.
Equation: (81 + 76 + 78 + x) / 4 = 80
Solve: x = 83
You need to get an 83 on your last test in order to get an 80 average.