Answer:
Ima assume D
Step-by-step explanation:
because it is increasing at an constant amount which is by 4
The water pump for a swimming pool can move 166.5 gallons of water in 3 minutes. The number of gallons, g, is proportional to the number of minutes,m, that the pump operates. Which of the following equations represents the relationship between g and m? Select all that apply.
A) m= 1/55.5g
B) g= 55.5m
C) g= 0.02m
D) g= 166.5/3 m
E) m= 55.5g
Answer:
A,B,D
Step-by-step explanation:
The equation that represents the relationship between g and m is; y = 55.5x
What is Proportionality?If two objects are proportional to each other, the link between them can be described by y = kx, where ‘k’ is the constant ratio of y-values to corresponding x-values.
Given that the water pump for a swimming pool can move 166.5 gallons of water in 3 minutes.
Here we need to determine the relationship between the water pump and the time for filling.
Consider x to be the number of minutes and y to be the amount of water that follows on the pump.
Then the proportionality is written as,
y = kx
Where k refers to the amount of water that flows in one minute.
Thus, equals,
=> 166.5/3
=> 55.5
Therefore, the value of k is; 55.5.
Hence, the equation that represents the relationship between g and m is; y = 55.5x
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Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly membership fee. The graph below represents what Health Club A charges.
The table below represents what Health Club B charges.
Answer:
The answer is below
Step-by-step explanation:
The question is not complete but I would show how this charges can be represented by an equation.
For health club A:
The graph (x, y) passes through the points (2, $136) and (4, $242). Let x represent the total months and y represent the total charges. The equation is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-136=\frac{242-136}{4-2}(x-2)\\\\y-136=53(x-2)\\\\y-136=53x-106\\\\y=53x+30[/tex]
For health club B:
The table (x, y) has the points (4, 173) and (6, 23y). Let x represent the total months and y represent the total costs. The equation is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-173=\frac{237-173}{6-4}(x-4)\\\\y-173=32(x-4)\\\\y-173=32x-128\\\\y=32x+45[/tex]
the density of a certain material is such that it weighs 9 kilograms for every 7 cubic feet of volume. express this density in pounds per pint.
The density in pounds per pint is 0.047 pounds per pint
Density is calculated using the formula -
Density = [tex]\frac{mass}{volume}[/tex]
To find the density in pounds per pint, we will convert mass and volume to the respective units.
Converting mass in kilograms to pounds -
1 kilogram = 2.205 pounds
9 kilograms = [tex]\frac{2.205*9}{1}[/tex]
9 kilograms = 19.84 ppounds
Converting volume in cubic feet to pints -
1 cubic foot = 59.844 pints
7 cubic foot = [tex]\frac{59.884*7}{1}[/tex]
7 cubic foot = 418.9 pints
Now, keeping the values in formula to find density
Density = [tex]\frac{19.84}{418.9}[/tex]
Performing division to find density -
Density = 0.047 pounds per pint
Hence, the density in pounds per pint is 0.047.
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Write an equation of the line in slope-intercept form.
slope: 6
y-intercept: 3
Answer:
y=6x+3
Step-by-step explanation:
Jason is 10 years older than Alex. Mark is 11 years younger than Alex. If the total of their ages is 68, how old is the youngest of them?
Answer:
Mark is 12 years old.
Step-by-step explanation:
Let's just define some variables:
J = Jason
A = Alex
M = Mark
Next, let's put the information given in the question into equations.
Since Jason is 10 years older than Alex we can represent it like this:
J = A + 10
Since Mark is 11 years younger than Alex we can represent it like this:
M = A - 11
All of their ages add up to 68 so we can represent that like this:
J + A + M = 68
We can now do some substitutions to the J and M in this equation, like this:
(A + 10) + A + (A - 11) = 68
Combine like terms:
3A - 1 = 68
Solve for A
3A = 69
A = 23
Now that we found that Alex is 23 we can plug that back in to the first equations to find their ages:
J = 23 + 10
J = 33
M = 23 - 11
M = 12
Mark is the youngest out of the siblings being 12 years old.
Check:
23 + 33 + 12 = 68
68 = 68 :)
I hope this helps!!
- Kay :)
help ASAP Now 10 points
Answer:
A: One student has lived in 7 states.
Step-by-step explanation:
According to the graph shows, the answer should be A, which is one student has lived in 7 states.
Find the values of x and y that make these triangles congruent by the HL theorem
Answer:
A. x = 3, y = 2
Step-by-step explanation:
The hypotenuse and the length of one leg of one right triangle must be equal to the hypotenuse and corresponding length of the one leg of the other ∆ for both triangles to be equal by the HL Congruence Theorem.
Thus, let's find x and y by setting the corresponding lengths of the two right ∆s equal to each other.
Therefore:
x = y + 1 ----› eqn. 1
2x + 3 = 3y + 3 ----› eqn. 2
Substitute x = (y + 1) into eqn. 2, and solve for y.
2x + 3 = 3y + 3 ----› eqn. 2
2(y + 1) + 3 = 3y + 3
2y + 2 + 3 = 3y + 3
2y + 5 = 3y + 3
Collect like terms
2y - 3y = -5 + 3
-y = -2
Divide both sides by -1
y = 2
Substitute y = 2 into eqn. 1.
x = y + 1 ----› eqn. 1
x = 2 + 1
x = 3
At what value of x does the second
function's output exceed (get bigger
than) the first function's output?
Explain your solution steps.
f(x)= x+7 and f(x)= x²)
The second function's output exceeds (get bigger than) the first function's output for x∈(-∞,[tex]\frac{1-\sqrt{29} }{2}[/tex])∪([tex]\frac{1+\sqrt{29} }{2}[/tex],∞)
Given the functions f(x)=x+7 and f(x)=[tex]x^{2}[/tex]
To know when to exceed, need to equate both functions.
⇒[tex]x^{2} =x+7[/tex]
⇒[tex]x^{2} -x-7=0[/tex]
x=[tex]\frac{-b+\sqrt{D} }{2a}[/tex] and [tex]\frac{-b-\sqrt{D} }{2a}[/tex]
⇒x=[tex]\frac{1-\sqrt{29} }{2}[/tex],[tex]\frac{1+\sqrt{29} }{2}[/tex]
f(x)=[tex]x^{2}[/tex] decreases from -∞ to 0 and increases from 0 to ∞ it cuts the graph of x+7 two times and for x∈(-∞,[tex]\frac{1-\sqrt{29} }{2}[/tex])∪([tex]\frac{1+\sqrt{29} }{2}[/tex],∞) f(x)=[tex]x^{2}[/tex] is greater than f(x)=x+7
Therefore,The second function's output exceeds (get bigger than) the first function's output for x∈(-∞,[tex]\frac{1-\sqrt{29} }{2}[/tex])∪([tex]\frac{1+\sqrt{29} }{2}[/tex],∞)
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What is the difference between an equation and an inequality?
a - an equation includes numbers, but an inequality doesn't
b- an inequality includes numbers, but an equation doesn't
c- an equation includes an equal sign, but an inequality doesn't
d- an inequality includes an equal sign, but an equation doesn't
Answer:
The correct answer should be C. Hope I helped.
Answer:
C - an equation includes an equal sign, but an inequality doesn't
Step-by-step explanation:
Although both equations and inequalities are ways to show how expressions relate to one another, an equation is the relationship between expressions with an equals sign ( [tex]=[/tex] ) between them, however, an inequality is a way to express two or more expressions with [tex]<[/tex], [tex]\leq[/tex], [tex]>[/tex] or [tex]\geq[/tex] between them. They both include numbers, so the correct option is C.
Hope this helps :)
A company advertises on a website. A worker tracked the number of visits to the website and the number of clicks on the advertisement. The table shows the data for several days. A linear function can be used to model the data. based on the table, what is the best prediction of the number of clicks on the advertisement if 1,500 people visit the website?
Answer:
I think it's 83
Step-by-step explanation:
Teacher explanation I still don't understand
There are 400 marbles in a bag. 60 of the marbles are blue. What percent of the marblesare not blue?
Answer:
80%
Step-by-step explanation:
400-60= 320
320 is 80% of 400
anyone know??? I’m not sure
9514 1404 393
Answer:
UW = 24
Step-by-step explanation:
Midsegment XY is half the length of base UW, so we can write ...
UW = 2·XY
73 -7x = 2(54 -6x) . . . . substitute the given expressions
73 -7x = 108 -12x . . . . . eliminate parentheses
5x = 35 . . . . . . . . . . . . . add 12x-73
x = 7 . . . . . . . . . . . . . . . divide by 5
Now, we can find UW:
UW = 73 -7x = 73 -7·7
UW = 24
30 POINTS AND I'LL MARK YOU BRAINLIST IF YOU ANSWER!!
Troy made a scale drawing of the Statue of Liberty which has an actual height of 305 feet. He decides to use a scale in which 1 inch represents 25 feet. What is the height in inches of Troy's drawing?
Answer:
Step-by-step explanation:
The height of statue is 12.2 inches in Troy's drawing.
Step-by-step explanation:
Given,
Actual height of statue = 305 feet
Scale used by Troy;
25 feet = 1 inch
1 feet =
305 feet =
305 feet =
305 feet = 12.2 inches
The height of statue is 12.2 inches in Troy's drawing.
Answer:
12.2 inches
Step-by-step explanation:
The scale is 1 inch = 25 ft
305 ft * (1 inch)/(25 ft) = 305/25 inches = 12.2 inches
Answer: 12.2 inches
Graph the following line. y=3/2x -5
Answer:
See the attached image.
Step-by-step explanation:
Remember the equation of the line is y = mx + b.
m = 3/2 (slope) ... rise/run. up 3 over 2.
b = -5 (y-intercept)
*These lines go on forever.
The graph of the line y = (3/2)x - 5 is given below.
Given that:
Equation of the line is y = (3/2)x - 5
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
Convert the equation into intercept form, then we have
y = (3/2)x - 5
(3/2)x - y = 5
x / 3.33 + y / (-5) = 1
The graph of the line is given below.
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Combine and Simplify:
48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3
WRITE 2 WAYS!
Answer:
Combining and simplifying [tex]48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})[/tex] we get [tex]\mathbf{-4x-34y-32}[/tex] or we can write as [tex]\mathbf{48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})}[/tex]
Step-by-step explanation:
We need to combine and simplify
[tex]48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})[/tex]
First we will combine like terms and then perform the mathematical operations like addition or subtraction.
Like terms: terms having same variable
[tex]48(\frac{1}{4}x-\frac{2}{6}x-\frac{1}{3}y-\frac{3}{8}y-\frac{2}{3})[/tex]
Now we take LCM of like terms
[tex]=48(\frac{1}{4}x-\frac{2}{6}x-\frac{1}{3}y-\frac{3}{8}y-\frac{2}{3})\\=48(\frac{x*3-2x*2}{12} +\frac{-y*8-3y*3}{24}- \frac{2}{3})\\=48(\frac{3x-4x}{12} +\frac{-8y-9y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} +\frac{-17y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})[/tex]
Now, we can multiply 48 with terms inside the bracket.
we can simplify the terms if they are both divisible by same number.
[tex]=48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} )-48(\frac{17y}{24})-48(\frac{2}{3}))\\=-4x-34y-32[/tex]
So, Combining and simplifying [tex]48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})[/tex] we get [tex]\mathbf{-4x-34y-32}[/tex] or we can write as [tex]\mathbf{48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})}[/tex]
5030000000 in scientific notation
5.03 × 10^7
(word format): 5 and 3 hundredths times 10 to the 7th power
Answer:5.03 x 10^9
Step-by-step explanation:
A lemonade recipe calls for 6 gallons of water. How many cups of water are needed for the recipe.
Answer:
96
Step-by-step explanation:
Hope this helps
There is a hiking trail that is 2,080 feet long. There is 1 person hiking for every 10 feet of the length of
the trail. Write and solve an equation to find how many people are hiking on the trail.
Answer:
208
Step-by-step explanation:
2080 Divided by 10 = 208
Rahul is going to an amusement park. The price of admission into the park is $15, and once he is inside the park, he will have to pay $4 for every ride he rides on. How much money would Rahul have to pay in total if he goes on 7 rides? How much would he have to pay if he goes on rr rides?
Using a linear function, the costs are given as follows:
7 rides: $43.r rides: 15 + 4r.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.For this problem, we have that:
The admission fee is the intercept.The cost per ride is the slope.Hence the cost for r rides is given by the following linear function:
C(r) = 15 + 4r.
The cost for 7 rides is given by:
C(7) = 15 + 4(7) = 15 + 28 = $43.
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Is this equation linear or non linear
Answer:
Non-linear
Step-by-step explanation:
This equation represents a reciprocal function.
You can't divide by zero so it never passes the y-axis, therefore it cannot be linear.
The graph of this equation is attached below.
I hope this helps!!
- Kay :)
Non-linear. In linear equations, you don't divide a number by x.
John buys two types of tree saplings. One starts out at 40 cm and will grow 10 cm every three months. The other sapling starts at 20 cm and will grow 10 cm every two months. After how many months will they be the same height, and how tall will they be? solve for y and x
Answer:
They will at the same height of 80cm at 12 months.
Step-by-step explanation:
Sapling A:
y = 10/3x + 40
Sapling B:
y = 5x + 20
Set the equations to equal each other.
10/3x + 40 = 5x + 20
10/3x - 5x = 20 - 40
10x - 15x = 60 - 120
-5x = -60
x = 12
Sub x = 12 into one of the two equations (It doesn't matter which one you choose)
y = 5(12) + 20
y = 80
someone help asap pleasee :)
Please help and thank you im failing at school so decided to download this app
Answer:
you could scan and take a picture in the app when u login
What is your monthly take-home pay if your take-home pay is $1034.65 every two weeks? Round intermediate calculations and the final answer to the nearest cent; use 365 days in a year.
The monthly take-home pay is $2240.83.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To calculate the monthly take-home pay, we need to first find the annual take-home pay and then divide by 12 (since there are 12 months in a year).
We are given that the take-home pay is $1034.65 every two weeks, which means the total take-home pay for a year can be calculated as follows:
annual take-home pay = 1034.65 * 26 = 26889.9
Next, we divide the annual take-home pay by 12 to get the monthly take-home pay:
monthly take-home pay = 26889.9 / 12 = 2240.825
Rounding this to the nearest cent, we get:
monthly take-home pay = $2240.83
Therefore, the monthly take-home pay is $2240.83.
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a circle has a center at . the point is on the circle. what is the area of the circle to the nearest tenth of a square unit?
So area of the Circle ≈ 157.1 sq. unit .
Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
Distance formula, Algebraic expression that gives the distances between pairs of points in terms of their coordinates (see coordinate system). In two- and three-dimensional Euclidean space, the distance formulas for points in rectangular coordinates are based on the Pythagorean theorem.
Point P(3,7) is on the Circle having Centre C(8,2).
Therefore, the Distance between points P and C is the radius r of the circle. To calculate r, use the distance formula .
Therefore, [tex]r^2=(8-3)^2+(2-7)^2=50[/tex]
∴ Area of the Circle =π×[tex]r^{2}[/tex]≈ (3.1416) ×(50)=157.08≈ 157.1 sq. unit ( nearest tenth).
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Stephanie's school is selling tickets to a play. On the first day of ticket sales the school sold 4 adult tickets and 10 student tickets for a total of $150. The school took in $105 on the second day by selling 1 adult ticket and 10 student tickets. What is the price each of one adult ticket and one student ticket?
Answer:
The price of
1 adult ticket = $15
1 student ticket = $9
Step-by-step explanation:
Let
The price of adult tickets be represented by a
The price of student tickets be represented by s
Therefore:
On the first day of ticket sales the school sold 4 adult tickets and 10 student tickets for a total of $150.
4a + 10s = $150.... Equation 1
The school took in $105 on the second day by selling 1 adult ticket and 10 student tickets.
a + 10s = $105.... Equation 2
a = $105 - 10s
Therefore, we substitute : $105 - 10s = a in Equation 1
4a + 10s = $150.... Equation 1
4($105 - 10s) + 10s = $150
$420 - 40s + 10s = $150
Collect like terms
- 40s + 10s = $150 - $420
-30s = -$270
Divide both sides by -30
-30s/-30 = -$270/-30
s = $9
We find a
a = $105 - 10s
a = $105 - 10($9)
a = $105 - $90
a = $15
Therefore, the price of
1 adult ticket = $15
1 student ticket = $9
Which of the following has no solutions?
A) 5x + 5 = -4x - 5
B) -4x + 5 = -4x - 4
C) 4x + 5 = -4x + 5
D) -4x + 5 -4x - 5
Answer: B is the answer
Step-by-step explanation:
The answer for A) is x=-9/10
The answer for B) is no solution
The answer for C) is x=0
The answer for D) is =-8x
professor duque will participate in a lottery that will be played by five hundred participants. he buys a ticket for five dollars. if the lucky randomly selected winner gets one hundred dollars as a prize, what would duque's expected winnings or losses be?
Expected winning of professor Duque = -$4.8
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
Total no of participation = 500
The prize winner will be decided at random.
Number of favorable outcomes divided by the total number of outcomes gives Duque a chance of winning the reward.
Out of the 500 competitors, only one will be the winner.
Duque's chances of winning the prize are 1 in 500, or 0.002.
If a person wins, they will receive $100 as their prize.
The price of a ticket is $5.
Thus, the net amount prize pool is $100 - $5 = $95 total.
Participants 499 will not be successful.
Probability of losing is 499/500, which is 0.998.
Loss from losing = - $5 (negative sign represents loss).
For discrete random variable X:
E(X) = ∑[tex]_{i=0}^{n} x_{i}*p(x_{i})[/tex]
E(X) = [tex]x_{1}*p(x_{1})+x_{2}*p(x_{2})\\[/tex]
Given,
[tex]x_{1}=[/tex]$95 and [tex]p(x_{1})[/tex]=1/500
[tex]x_{2}[/tex]= -$5 and [tex]p(x_{2})\\[/tex] = 499/500
[tex]E(X)=(95*\frac{1}{500})+(-5*\frac{499}{500}) \\= -4.8\\[/tex]
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a. no; the domain values are at regular intervals and the range values have a common sum 1. b. no; the domain values are not at regular intervals. c. yes; the domain values are at regular intervals and the range values have a common factor 2. d. yes; the domain values are at regular intervals and the range values have a common sum 1.
Yes; the domain values are at regular intervals and the range values have a common factor of 0.25 so option (D) will be correct.
What is the range and domain of a function?A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.
The domain is for the independent variable while the range is for the dependent variable.
Given a table of dependent(x) and independent variable (y)
Now the domain is set of the dependent variable so x {3,2,1,-1} so it is decreasing between two points so it is an interval.
Now in the independent variable (x)
If we multiply by 0.25 then the next term will come so it has a common factor of 0.25.
Hence "Yes; the domain values are at regular intervals and the range values have a common factor of 0.25".
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The given question is incomplete, the complete question with a table is given below ;
From the table below, determine whether the data shows an exponential function. Explain why or why not.
a No, the domain values are at regular intervals and the range values have a common factor of 0.25.
b. No, the domain values are not at regular intervals although the range values have a common factor.
c. Yes, the domain values are at regular intervals and the range values have a common factor 4.
d. Yes; the domain values are at regular intervals and the range values have a common factor of 0.25.
write a real world problem for 5/6 divided by 1/12. Use a model to solve.
Answer:
Step-by-step explanation:
Two boxes have a volume of 5/6 and 1/12 cubic meters respectively. How many times does the petty box (1/12) fit in the big box (5/6)?
[tex]\frac{\frac{5}{6} }{\frac{1}{12} } =\frac{(5)(12)}{(6)(1)} =\frac{60}{6} =10[/tex]
ten times
Hope this helps