Answer: look it up frfr
Step-by-step explanation:
Dawn spent $22. 5 on 9 gallons of gas.
What is the un-simplified rate of dollars-gallons, and gallons to dollars.
And what is the Simplified Unit Rate "per language" of dollars per gallon. And gallons per dollar?
Un-simplified rate of dollars-gallons = 22.5/9 $ and and gallons to dollars 9/22.5 $ . and simplified rate of dollars-gallons = 22.5/9 $ = 2.5 and and gallons to dollars 9/22.5 = 0.4 .
Here first we have to calculate the rate of gallons of gas as per gallons so for that we will find the rate of 1 gallons for that we will divide the 22.4$ to 9 gallons so ans is 22.5$/9 is the rate for 1 gallons
and 2nd we have to calculate the amount of gas as per $ like we have to calculate the the amount if we spend 1 $ so for that we will divide 9 gallons / 22.5$ = 9/22.5
And here in 1st part we are not calculate the ans in decimal as we have to calculate this on un-simplified ans .
and in 2nd part we calculate it .
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The graph that best models the situation of the home value increasing every year is Graph A
How to find the graph ?To find the graph, use the percentage increase to find the value of the house in two different time periods and then check which graph coincides with this prediction.
After 5 years, the value of the house should be:
= 200, 000 x ( 1 + 6 % ) ⁵
= $ 267, 645
After 10 years :
= 200, 000 x ( 1 + 6 % ) ¹⁰
= $ 358, 170
The best graph for the situation is therefore Graph A which starts from $ 200, 000 and passes through the above points.
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What is the value of x?
A) 80 degrees
B) 50 degrees
C) 90 degrees
D) 65 degrees
The value of x is 80 degrees.
The correct answer is an option (A)
Consider the following figure.
Let us assume that the upper triangle be ABC and the lower triangle be NMC.
We can observe that both the triangles are isosceles triangles, because in both the triangles two sides are congruent.
Consider triangle ABC.
As the triangle is isosceles triangle, from the definition of isosceles triangle ∠A = ∠B
So, ∠A = 65°
We know that the sum of all the angles of triangle is 180°
⇒ ∠A + ∠B + ∠C = 180°
⇒ ∠C = 180° - (65° + 65°)
⇒ ∠C = 180° - 130°
⇒ ∠C = 50°
We can observe that ∠ACB and ∠MCN are opposite angles.
So, ∠MCN = 50°
Also, triangle MNC is also an isosceles triangle.
so, ∠C = ∠N
⇒∠N = 50°
We know that the sum of all the angles of triangle is 180°
⇒ ∠M + ∠N + ∠C = 180°
⇒ ∠M = 180° - (50° + 50°)
⇒ ∠M = 180° - 100°
⇒ ∠M = 80°
Therefore, x = 80°
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What are some similarities between sales tax and hotel tax? Select all that apply
Some of the similarities between sales tax and hotel tax include the following:
B) Both must be paid in advance when you make a hotel reservation.
C) Both are based on a percentage of the original cost.
What is taxation?
Taxation can be defined as the involuntary fees that are levied on individuals or business firms by the government of a particular country, so as to generate revenues that can be used to fund public projects, institutions and activities.
The types of tax.
In Economics, there are different types of tax that are levied on individuals or business firms by the government and these include the following:
Hotel tax
Sales tax
Property tax
Income tax
we can reasonably infer and logically deduce that both sales tax and hotel tax must be paid in advance when making a hotel reservation in the United States of America.
Hence, Some of the similarities between sales tax and hotel tax include the following:
B) Both must be paid in advance when you make a hotel reservation.
C) Both are based on a percentage of the original cost.
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The complete question is given below:
What are some similarities between sales tax and hotel tax? Select all that apply. Multiple select question. cross out A) Both are an additional amount one must pay. cross out B) Both must be paid in advance when you make a hotel reservation. cross out C) Both are based on a percentage of the original cost. cross out D) Both the sales tax and the hotel tax are equal when you stay in a hotel. cross out E) Both represent a guest fee that hotels charge their customers.
Choose ALL answers that describe the quadrilateral
T
U
V
W
TUVW if
T
U
‾
∥
V
W
‾
TU
∥
VW
,
T
U
‾
≅
V
W
‾
TU
≅
VW
, diagonal
T
V
‾
TV
bisects
∠
T
∠T and
∠
V
∠V, and diagonal
U
W
‾
UW
bisects
∠
U
∠U and
∠
W
∠W
The mentioned characteristics of quadrilateral are the properties of the Rhombus. So option C is correct.
What are the properties of a rhombus ?The lengths of the four sides are equal.Congruent opposite angles (i.e., they have the same measure).Adjacent angles are helpful (i.e., they add up to 180 degrees).The diagonals form a right angle split across one another.The diagonals are each other's perpendicular bisectors.Given that,
A quadrilateral TUVW,
UV || WT,
TU || VW
TV = UW (Diagonals )
TV ⊥ UW (Diagonals are perpendicular)
Hence, the given characteristics are of the rhombus.
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Solve pls! Lots of points! Question down below!
Answer:1024 grid squares
Step-by-step explanation:
Let's call the side length of the original piece of graph paper "x".
Since, side length of the cut out square is then (x-2) because the cut out square has to have an integer number of grid squares, and each side of the square would take up 2 grid squares on the graph paper.
The number of grid squares in the cut out square is then (x-2)^2.
The number of grid squares left on the graph paper is 124, so we have:
x^2 - (x-2)^2 = 124
Expanding the right side:
x^2 - x^2 + 4x - 4 = 124
Simplifying:
4x = 128
therefore:
x = 32
therefore original graph paper contains 32 grids i.e 32^2 = 1024
Answer:
any of {128, 133, 140, 160, 224, 320, 380, 700, 1024}
1024 if the original grid was square
Step-by-step explanation:
You want to know how many grid squares are on a piece of graph paper if a square number of grid squares can be cut from it to leave 124 grid squares.
Square graphIf the graph is square to begin with, a square of x² can be removed from its size (x+a)² to leave 124 squares. That is ...
(x +a)² -x² = 124
(a)(2x+a) = 124
The factor pairs of 124 are ...
124 = 1·124 = 2·62 = 4·31
Of these, only 2 and 62 differ by an even number, so we have a=2 and x=30.
The graph paper could be 32 units square originally, having 1024 grid squares.
Rectangular graphThere is nothing in the problem statement that requires the original graph paper be square. If it is not necessarily square, there are 13 possible shapes it could be. Those have 9 different possibilities for numbers of grid squares.
The graph paper could have originally had this number of grid squares:
128 = 4×32 = 8×16. The square removed is 2².133 = 7×19. The square removed is 3².140 = 5×28 = 7×20 = 10×14. The square removed is 4².160 = 8×20 = 10×16. The square removed is 6².224 = 14×16. The square removed is 10².320 = 16×20. The square removed is 14².380 = 19×20. The square removed is 16².700 = 25×28. The square removed is 24².1024 = 32×32. The square removed is 30². . . . . discussed above__
Additional comment
You may notice that removing a 24×24 square from a graph that is 25×28 leaves no border on one side.
These values were found using a search script.
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What are the factors of the cubic function f(x) = 64x³ + 27?
Choose each correct answer.
□ (16x² − 12x + 9)
□ (16x² + 12x +9)
□ (4x - 3)
□ (4x + 3)
The factors of the cubic function f(x) = 64x³ + 27 are (4x + 3) and (16x² − 12x + 9). The correct answer would be options (A), and (D).
What is the Factorization?Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original.
The cubic function is given in the question, as follows:
f(x) = 64x³ + 27
The above expression can be rewritten as:
f(x) = (4x)³ + (3)³
Compare the sum of cubic formula a³ + b³ = (a + b)(a² - ab + b²) and we get
f(x) = (4x + 3)(16x² − 12x + 9)
Thus, the factors of the cubic function are (4x + 3) and (16x² − 12x + 9).
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Compare the investment below to an investment of the same principal at the same rate compounded annually.
principal: $7,000, annual interest: 3%, interest periods: 6 , number of years: 17
The difference between the investment below and one with the same principal at the same rate compounded yearly is $18123.29.
How would you compare investments?The Payback Period is the most straightforward metric to use when contrasting investment options. Simply defined, this is the minimal amount required for you to recoup your initial investment.
compound interest, which is referred to as
[tex]A = P(1+r/n)^n×t[/tex]
Where
A = amount at the end of t years
r = interest rate.
n = periodic interval
P = principal amount deposited
Considering investment compounded annually
P = 7000
r = 3% = 3/100 = 0.03
n = 1
t = 17 years
[tex]A = 7000(1 + 0.03/1)^1× 12A = 7000(1.03)^12[/tex]
A = $9980.32
For the second investment,
n = 6
[tex]A = 7000(1 + 0.08/6)^6 × 12A = 7000(1 + 0.0133)^72A = 7000(1.0133)^72A = $18123.29[/tex]
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If Sullivan got 32 pieces of candy, how many did Carter get? Answer
Sullivan received half as many candy as Carter did, or half as many candies as Sullivan received.
What is an amount?aggregate means the complete amount or quantity. attempting to estimate the time required. the amount on hand or being considered. mutable noun How much of something there is, how much you possess, require, or receive, is known as its amount. He is dependent on that sum of money to get by.Therefore, a number only refers to things that we can count. Contrarily, quantity relates to how much of something there is, such as how much liquid, resistance, or stimulation. In actuality, the term "amount" refers to amounts that we can measure but not count individually." Amount is defined as the representation of total quantity of given object."
According to the question,
Number of candies Sullivan got = s
Number of candies Carter got = 2s
Compare the given amount of data we get,
Number of candies Carter got = 2(Number of candies Sullivan got )
This shows Carter got twice number of candies comparison to Sullivan.
or
Number of candies Sullivan got = 1/2 (Number of candies Carter got)
Sullivan got half number of candies compare to Carter.
Hence, we conclude Carter got twice number of candies in comparison to Sullivan or Sullivan got half number of candies compare to Carter.
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Solve the equation for x (0 ≤ x ≤ 2π)
cos²x + sin x = 1
To solve the equation cos²x + sin x = 1, we can use the trigonometric identity cos²x = 1 - sin²x. By substituting this identity into the equation, we get:
1 - sin²x + sin x = 1
Combining like terms, we get:
1 - sin²x = 0
Solving for sin x, we get:
sin x = 1
However, the sine function has a range of [-1, 1], so the only solution in the interval [0, 2π] is sin x = 1, which corresponds to x = π/2. So the solution to the equation cos²x + sin x = 1 in the interval [0, 2π] is x = π/2.
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The function that best models the number of game systems sold is
y = 30.5(0.7)ˣ
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
Consider the equation :
y = 30.5(0.7)ˣ
Plug in x=0,
y= 30.5(0.7)⁰ = 30.5 *1 = 30.5
The point is (0,30.5)
Similarly, when we plug in x=1 and x=2, we get y=21.35 and y=14.95 respectively
The other 2 points in (x, y) form are (1,21.35) and (2, 14.95)
These points are matching with the points on the graph
So, the function that best models the number of game systems sold is
y = 30.5(0.7)ˣ
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given f(x)=2x^2+4, find f(0)
Answer:
-4
Step-by-step explanation:
Answer:
f(0) = 4
Step-by-step explanation:
[tex]f(x) = {2x}^{2} + 4[/tex]
- When x = 0, then f(x) = f(0)
[tex]f(0) = 2(0) {}^{2} + 4 \\ f(0) = 4[/tex]
1 Colour three parts green. Colour five parts yello a What fraction of the circle is green?
Answer:
3/8
Step-by-step explanation:
1. If there are three parts green and 5 parts yellow, you can add them to find the total parts
2. 5+3 is 8
3. Then to find the green, which is three, we can divide it
4. 3 green parts/ total which is 8
5. 3/8
A soccer player has a large cylindrical water cooler that measures 3. 5 feet in diameter and is 2 feet tall. If there are approximately 7. 48 gallons of water in a cubic foot, how many gallons of water are in the water cooler when it is completely full? Use π = 3. 14 and round to the nearest hundredth
When the water cooler is completely full, there are approximately 143.52 gallons of water in it.
To calculate the number of gallons of water in the water cooler when it is completely full, we can use the formula for the volume of a cylinder, which is:
Volume = π * (radius)^2 * height
where radius is half of the diameter, and π is the constant pi.
In this case, the diameter of the water cooler is 3.5 feet, so the radius is 1.75 feet. The height of the water cooler is 2 feet. Plugging these values into the formula, we get:
Volume = 3.14 * (1.75)^2 * 2 = 19.18 cubic feet
To convert this volume to gallons, we can multiply it by the conversion factor of 7.48 gallons per cubic foot:
Volume in gallons = 19.18 * 7.48 = 143.52 gallons
In summary, to calculate the number of gallons of water in a cylindrical water cooler, we can use the formula for the volume of a cylinder and then convert the resulting volume from cubic feet to gallons using a conversion factor.
In this case, we needed to use the diameter and height of the water cooler, along with the constant pi and the conversion factor of gallons per cubic foot, to calculate the number of gallons of water in the water cooler when it is completely full.
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Help me with thiss Pllllllllll
Step-by-step explanation:
the answer for -1/4(-8x+12y)
2x-3y
Answer:
2x-3y
Step-by-step explanation:
For this equation we are using distributive property
-1/4(-8x) -1/4(12y)
↓ ↓
2x -3y
So, 2x-3y is the answer.
Order the values from least to greatest. |2.7|, 0, 1.3, |-1|, 2
0 |-1| , 1.3 , 2, |2.7|
Step-by-step explanation:
it's right because |-1| is an absolute value and the absolute value is 1
Answer:
0, |- 1| , 1.3, 2, |2.7|
Step-by-step explanation:
The absolute value of any number, x, denoted by |x| is the positive of that number
So | 2.7 | = 2.7
| - 1 | = 1
Therefore the order of the absolute values is
0, 1, 1.3, 2, 2.7 which is the same as 0, |- 1| , 1.3, 2, |2.7|
over the course of a year, malachi gets 2 haircuts at a price of $12.00 each, 3 haircuts at a price of $15.00 each, and 1 haircut at a price of $25.00. for malachi,what is the weighted mean cost of a haircut?
The weighted mean cost of a haircut for Malachi is $15.67, divided by the total number of haircuts, which comes to 6, to yield a total cost of $94.00.
We must compute the total cost of all haircuts and divide it by the total number of haircuts in order to determine the weighted mean price of a haircut for Malachi. The expense of each haircut must be weighed according to the frequency with which it occurred, though, because they varied in price.
To begin, let's figure out how much each haircut will cost overall:
2 haircuts at $12.00 each = $24.00
3 haircuts at $15.00 each = $45.00
1 haircut at $25.00 = $25.00
Total cost = $24.00 + $45.00 + $25.00 = $94.00
Next, We must determine the total number of cuts:
2 haircuts + 3 haircuts + 1 haircut = 6 haircuts
Finally, The weighted mean cost of a haircut can be determined by dividing the total cost by the total number of haircuts:
The weighted mean cost of a haircut = Total cost / Total number of haircuts
= $94.00 / 6 haircuts
= $15.67 per haircut (rounded to the nearest cent)
Therefore, Malachi's weighted mean haircut expense is $ 15.67 , divided by the total number of haircuts, which comes to 6, to yield a total cost of $94.00.
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You and your friend just finished playing a game. Your final score was 24 and her final score was -13. By how many points did you win
Answer: 37 points
Step-by-step explanation:
Someone please help with this question
Tony and his cousin are playing a game where they pick up colored sticks. Tony currently has 12 points and likes to pick up the yellow sticks, earning 10 points every turn. His cousin just lost all his points on the previous turn, and has a strategy to catch up by getting all the blue ones, earning 14 points per turn. In a certain number of turns, the score will be tied. How many points will they each have? How long will that take?
Tony and his cousin will each have __ points in __ turns.
Answer:
Tony and his cousin will each have 42 points in 3 turns.
Step-by-step explanation:
10 x 3 = 30
30 + 12 = 42
14 x 3 = 42
688588478685758486759+2345678909876545355=
Answer:
6.9x10^20
Step-by-step explanation:
688588478685758486759+2345678909876545355=
6.90934158E20
A basketball player plays for 30 out of 48 minutes in a game. She sits on the bench the rest of the game. What percentage of the game did the player sit on the bench?
Answer:5/8
Step-by-step explanation: you put the numbers in a fraction the smallest goes on top and the more enormous number at the bottom you simply by finding the most significant standard number between the 2 numbers which is in this case 6 divide it by that and that is how you get your answer
Determine the equation of the circle graphed below?
The equation of the circle graphed above is equal to (x - 1)² + (y - 6)² = 9.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r²
Where:
h and k represents the coordinates at the center of a circle.r represents the radius of a circle.By critically observing the graph of this circle, we have the following parameters:
Radius, r = 3 units.
Center, (h, k) = (1, 6).
Substituting the given parameters into the equation of a circle formula, we have the following;
(x - h)² + (y - k)² = r²
(x - 1)² + (y - 6)² = 3²
(x - 1)² + (y - 6)² = 9.
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Can someone please help me??
If Pakistani rupee (y) is a function of UAE dirham (x), write a function for y in terms of x. Draw the conversion graph between these two currencies by taking UAE dirham along x-axis.
The function for the Pakistani Rupee (y) in terms of UAE Dirhams (x) can be represented as, y = 71.59 x.
What are Function?A function is defined as a relation from a set A to a set B for which an element in set A maps to one and only one image in set B.
Usually the set A consists of the independent variable and set B consists of dependent variable.
We have to find a function relating the conversion of Pakistani rupees and UAE dirhams.
Let y denotes Pakistani Rupees and x denotes the UAE dirhams.
We know that,
1 UAE dirham = 71.59 Pakistani Rupees
So,
2 dirhams = 2 × 71.59 = 143.18 rupees
In this way,
x dirhams = 71.59 x rupees
So, we can write this as,
y = 71.59 x
Hence the required function is y = 71.59 x.
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Gerald has markers and pens in his backpack. He has a total of 78. If he has 11 more markers and pens, how many markers does he have?
(Systems of equation)
The required number of markers does Gerald has 56 markers.
How to find markers does he have?Let's represent the number of markers that Gerald has with the variable "m", and the number of pens he has with the variable "p". We can set up two equations based on the information given:
According to question:m + p = 78 (equation 1)
(m + 11) + (p + 11) = 78 (equation 2)
In equation 2, we add 11 to both the number of markers and the number of pens, since Gerald has 11 more of each. We can simplify equation 2 by combining like terms:
m + p + 22 = 78
m + p = 56 (equation 3)
Now we have two equations with two variables. We can use either substitution or elimination to solve for one of the variables. Let's use substitution and solve for "m" in terms of "p" using equation 1:
m + p = 78
m = 78 - p
Now we can substitute this expression for "m" into equation 3:
m + p = 56
(78 - p) + p = 56
Simplifying the equation, we get:
78 - p + p = 56
78 = 56 + p
p = 22
Therefore, Gerald has 22 pens. To find the number of markers he has, we can substitute this value of "p" into equation 1:
m + 22 = 78
m = 56
So, Gerald has 56 markers.
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2 − 2n = 3n + 17
CAN SOMEONE HELP ME
[tex] \: [/tex]
[tex] \frak{ - 2n - 3n = 17 - 2}[/tex][tex] \: [/tex]
[tex] \frak{ - 5n = 15}[/tex][tex] \: [/tex]
[tex] \frak{n = \cancel\frac{15}{ - 5} }[/tex][tex] \: [/tex]
[tex] \underline { \boxed{ \frak{ \red{n = - 3}}}}[/tex][tex] \: [/tex]
hope it helps! :)
━━━━━━━━━━━━━━━━━━━━━━━━━━
Answer:
[tex] \sf \: n = - 3[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of n.
The equation is,
→ 2 - 2n = 3n + 17
Then the value of n will be,
→ 2 - 2n = 3n + 17
→ 2 - 17 = 3n + 2n
→ -15 = 5n
→ 5n = -15
→ n = -15 ÷ 5
→ [ n = -3 ]
Hence, the value of n is -3.
when constructing a confidence interval for a difference between two population proportions, why is it important to check that the number of successes and the number of failures in each sample is at least 10? select the correct answer.
Why is it crucial to ensure that each sample has at least 10 successes and failures when building a confidence interval for the difference between two population proportions. This will allow us to select a sample distribution for p1-p2 that is roughly normal.
A distributor is a business that takes part in the value chain's distribution step. Making a good or service available to the consumer or business user who wants it is the process of distribution. This might be done by the producer or service provider directly or through indirect channels like distributors or intermediaries. Distribution is one of the four elements of the marketing mix, along with the other three being the product, pricing, and promotion. The broad strategic goal and objective of a corporation should guide distribution decisions. The main task of strategic planning is to develop a thorough distribution plan. At the strategic level, there are three basic distribution tactics: mass, selective, and exclusive distribution.
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Match the information on the left with the appropriate equation on the right.
a) The equation of perpendicular line is y=2x+1
b) The equation of parallel line is y = -2x+6
What is slope ?
A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).
a) An equation perpendicular to y= (-1/2)x+4 through the point (-2, -3):
m= -1/2
Slope of perpendicular line is -1/m = -1/( -1/2) = 2
(x,y) = (-2, -3)
Slope intercept form:
y=mx+b
Substitute x,y and m values to find b
-3= 2(-2) + b
=> -3 = -4 + b
=> b= -3+4 = 1
So the equation of perpendicular line is y=2x+1
b) An equation through the point (1,4) parallel to y = -2x + 1
Parallel lines will have same slope , m= -2
(x,y) = (1,4)
Slope intercept form:
y=mx+b
Substitute x,y and m values to find b
4=-2(1)+b
=> 4 = -2 + b
=> b=4+2 = 6
So the equation of parallel line is y = -2x+6
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Explain how you would find the value of x.
Find the value of x.
3x + 1
2x
4x+7
5x-4
x+1
3x-5
∠A and ∠ B are complementary angles. If m ∠ A = ( 2 x + 5 ) and m ∠ B = ( 4 x + 19 ) , then find the measure of ∠ A
The measure of m∠A is 27.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
m∠A = (2x + 5) and m∠B = (4x + 19)
∠A and ∠ B are complementary angles.
So,
Solve for x.
(2x + 5) + (4x + 19) = 90
2x + 5 + 4x + 19 = 90
6x + 24 = 90
6x = 90 - 24
6x = 66
x = 11
Now,
m∠A.
= (2x + 5)
= 2 x 11 + 5
= 22 + 5
= 27
Thus,
m∠A = 27
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