Answer:
2400
Step-by-step explanation:4152 is just 173% of d.
We create an equation d = 4152/1.73
after solving you get 2400.
The owner of Paradise Pets works hard to keep her store clean. It takes her 15 minutes to
clean 2 hamster cages.
Complete the table.
Minutes
15
Cages cleaned 2 4
Graph the data from the table.
Cages cleaned
20
18
16
14
12
10
8
30 55
•
90
8 10
The complete table will be;
Minutes 15 30
Cages cleaned 2 4
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The owner of Paradise Pets works hard to keep her store clean. It takes her 15 minutes to clean 2 hamster cages.
Now,
Since, The owner of Paradise Pets works hard to keep her store clean. It takes her 15 minutes to clean 2 hamster cages.
Hence, By definition of proportion we get;
Let the time to clean 4 hamster cages = x
So, We get;
⇒ 15 / 2 = x / 4
⇒ 15×4 / 2 = x
⇒ 30 = x
⇒ x = 30
Thus, It take 30 minutes to clean the 4 hamster cages.
Learn more about the proportion visit:
https://brainly.com/question/870035
#SPJ1
Graph the equation. y=-x^2-6x-3
Answer:
Step-by-step explanation:
It is easier to graph using a free online graphing utility, such as DESMOS. See the attached graph. If the goal is to make a graph with pencil and graph paper, then select a few values of x and put them into the equation to find y.
A talble of a few random values is attached.
The graph includes both the generated DEMOS line (a downwards parabola) and the calculated points from the attached table. Add the points to a blank graph and draw a line as best you can that connects all the points. It is clear that a few more points with negative values of x would help with the line drawing.
maria has type b blood. she can safely receive blood transfusions from people with blood types o and b. what is the probability that a randomly chosen person from the united states can donate blood to maria?
The probability that a randomly chosen person from the united states can donate blood to maria is 0.50
considering blood to be of types A,B,AB and O
further all blood groups are equi probable
Probability of blood type A = probability of blood type B = probability of blood type AB = probability of blood type O = x
Probability of blood type A + probability of blood type B + probability of blood type AB + probability of blood type O = 1
⇒ 4x = 1
⇒ x = 1/4
Probability that a random person will have blood of type B or O = x+x
= 1/4 + 1/4
= 1/2
= 0.50
Hence we get the required answer.
Learn more about Probability here:
brainly.com/question/25870256
#SPJ4
20
Write "less" or "greater" in the blank.
972 is
than 792
Answer:greater
Step-by-step explanation:
Answer:
972 is greater than 792.
Josiah began earning an allowance each day. At the end of 6 days he buys a video game that costs $150 and has $102 left over. How much money does he earn each day in allowance
Answer:
42
Step-by-step explanation:
150+102=252
252/6=42
Jaime y rocío están pintando una pared con cubos de pintura idénticos. Si Jaime ha gastado 2/5 de su pintura y rocío,3/5. ¿Quién ha gastado más? ¿Qué cubo de pintura estará más lleno?
Answer:
Step-by-step explanation:
Rocio ha gastado mas. El cubo de Jaime esta mas lleno.
Rocio gasto otro poco mas porque 3 esta mas grande que 2
two stores sell identical sandwich rolls in different size packages, store A sells a six pack for $5.28 store B sells a four pack for $3.40, which store offers the better per-roll price
Store B offers better $0.85 per-roll price than store A.
What is division?One type of operation is division in mathematics. The phrases or numbers are divided into the same number of components during this operation.
Given, two stores sell identical sandwich rolls in different size packages.
Store A sells a six-pack for $5.28.
To find the unit price,
we take division of 5.28 with number 6.
The unit price of sandwich roll for store A,
= 5.28 / 6
= $0.88
To find the unit price of sandwich roll for store B,
we take division of 3.40 with number 4.
= 3.40 / 4
= $0.85
And $0.85 < $0.88.
Therefore, Store B offers better per-roll price.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ1
PLEASE HELP WITH THIS PROBLEM
Answer:
y -2 = 2(x +7)y -2 = -1/2(x +7)Step-by-step explanation:
You want equations of lines parallel and perpendicular to y = 2x -1 through the point (-7, 2).
SlopeThe given equation is written in slope-intercept form:
y = mx + b
where m = 2, and b = -1.
The slope of the line is m, the x-coefficient. For the given line, the slope is 2.
A parallel line will have the same slope: 2.
A perpendicular line will have the opposite reciprocal slope: -1/2.
Point-slope equationWhen you have a point and slope, it is useful to use the point-slope form of the equation for a line:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For both of the desired lines, the point is (h, k) = (-7, 2). Using this point and the above slopes, we have ...
equation of parallel line: y -2 = 2(x +7)equation of perpendicular line: y -2 = -1/2(x +7)What is the total cost of the rental is Dana drives the car for 15 miles?
The total cost of the rental if Dana drives the car for 15 miles is $90.2
How to determine the total cost?From the question, we have the following parameters that can be used in our computation:
C = 73.25 + 1.13m
Where
m = number of miles
This means that
m = 15
SO, we have the following equation
C = 73.25 + 1.13 * 15
Evaluate
C = 90.2
Hence, the total cost is $90.2
Read more about linear equation at
https://brainly.com/question/4074386
#SPJ1
"Dana and her family are going to Six Flags Great America the sum- mer after her Sophomore year. She is excited, because she will be doing all driving: After doing some complicated analysis, she calcu; lates that it will cost a certain amount per mile to pick up everyone and drive to the park, plus flat amount for everyone's admission tickets. The equation below models the total cost, €,and the variable m represents the number of miles driven: C = 73.25 + 1.13m
In the diagram below, the point O is referred to as the _____.
Answer:
d. Orthocenter
Step-by-step explanation:
⭐What is an orthocenter?
the point of concurrency of the altitudes of a triangle⭐What is an altitude?
a perpendicular segment from the vertex to the opposite side of the vertexcreates a right angle (90°)We can see that point O is the point of concurrency of the altitudes of this given triangle because there are 90° formed by the perpendicular lines.
Thus, O is referred to as the orthocenter.
⭐if this response helped you, please mark it the "brainliest"!⭐
The wholesale price for a chair is $169. A certain furniture store marks up the wholesale price by 16%. Find the price of the chair in the furniture store. Round your answer to the nearest cent, as necessary.
Need Help!
The price of the chair in the furniture store is $94.
How to calculate the price of the chair in the furniture store?Given that the wholesale price for a chair is $169 and that a certain furniture store marks up the wholesale price by 16%.
The price of the chair in the furniture store will be:
= $169 + (16% × $169)
= $169 + $27.04
= $196
The price is $194.
Learn more about percentages on:
brainly.com/question/24877689
#SPJ1
A student claims that the graph shows the player earned more points from Level 2 to Level 3 than from Level 4 to Level 5. Is the student correct?
O No, the player earned 67 points from Level 2 to Level 3 and 69 points from Level 4 to Level 5
O No, the player earned 42 points from Level 2 to Level 3 and 44 points from Level 4 to Level 5.
O Yes, the player earned 67 points from Level 2 to Level 3 and 69 points from Level 4 to Level 5.
OYes, the player earned 42 points from Level 2 to Level 3 and 44 points from Level 4 to Level 5.
An airplane is preparing to land at an airport. It is 55800 feet above the ground and is descending at the rate of 3,500 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation.
By solving a linear equation, it can be calculated that-
The two planes will be in the same altitude after 9 minutes at an altitude of 24300 feet
What is a linear equation?
At first it is important to know about linear equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Here, the linear equation is
Let the time taken by the airplane to meet the same altitude be t minutes
An airplane is preparing to land at an airport. It is 55800 feet above the ground and is descending at the rate of 3,500 feet per minute.
So altitude of the first airplane after t minutes = 55800 - 3500t
At the same airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute.
Altitude of second airplane = 2700t
By the problem,
The linear equation is
55800 - 3500t = 2700t
2700t + 3500t = 55800
6200t = 55800
t = 9 minutes
Altitude = 2700 [tex]\times[/tex] 9 = 24300 feet
To learn more about linear equation, refer to the link-
https://brainly.com/question/2030026
#SPJ1
The college graduate is hired at a law firm with a $10,000 signing bonus, that will be deposited into the savings account. The firm also agrees to immediately pay off
$25,000 in student loan debt. What is the college graduate's new net worth?
O$16,081
O $21,167
O$13,833
O $33,097
The college graduate's new net worth is given as follows:
$13,833.
How to calculate the net worth?The net worth of a company or of a person is given by the sum of the values of all assets of the person subtracted by the sum of the values of all debts of the person.
The assets if the student are given as follows:
Signing bonus: $10,000.Furniture: $14,278.Savings Account Balance: $4,337.Car Value: $14,950.Computer and Software: $11,774.The liabilities of the student are given as follows:
Car Loan: $3,250.Credit Card Balances: $5,129.Student Loans: $58,097 - $25,000 = $33,097.Thus the student's net worth is calculated as follows:
(10000 + 14278 + 4337 + 14950 + 11774) - (3250 + 5129 + 33097) = $13,863.
Which is closest to the third option among those given.
More can be learned about net worth at brainly.com/question/12371230
#SPJ1
Answer:
the correct answer is 12057
Step-by-step explanation:
in order to calculate net worth, add up the assets, and then subtract the debt. be sure to pay attention to details
heres an UNRELATED TO THE QUESTION example:
i have...
$500 in my savings
$20 in my wallet
but im $200 deep in credit card debt..
(add 500 + 20, then subtract 200)
net worth: 320
Let f(x) be a 4th-degree polynomial function with zeroes 1,-1, and 3-i. If f(0)=20, write the equation in:
a) Factored form
b) Standard form
The polynomial expression are P(x) = (x - 1)(x + 1)[(x - 3)² + 1] and P(x) = x⁴ - 6x³ + 9x² + 6x - 10
How to determine the polynomial expression?Factored form
The given parameters are
Degree = 4Zero = 1,-1, and 3-iThere are complex numbers in the above zeros
This means that, the other zero is
Zeros = 3 + i
The equation of the polynomial is then calculated as
P(x) = Leading coefficient * (x - zero)^multiplicity
So, we have
P(x) = (x - 1) * (x + 1) * (x - (3 + i)) * (x - (3 - i))
This gives
P(x) = (x - 1) * (x + 1) * (x - 3 - i) * (x - 3 + i)
Evaluate the products
P(x) = (x - 1) * (x + 1) * [(x - 3)² - (i)²]
So, we have
P(x) = (x - 1) * (x + 1) * [(x - 3)² + 1]
P(x) = (x - 1)(x + 1)[(x - 3)² + 1]
The standard form
In (a), we have
P(x) = (x - 1) * (x + 1) * [(x - 3)² + 1]
Expand
P(x) = (x² - 1) * (x² - 6x + 9 + 1)
So, we have
P(x) = (x² - 1) * (x² - 6x + 10)
Remove the brackets
P(x) = x⁴ - 6x³ + 10x² - x² + 6x - 10
Evaluate the like terms
P(x) = x⁴ - 6x³ + 9x² + 6x - 10
Hence, the equation is P(x) = x⁴ - 6x³ + 9x² + 6x - 10
Read more about polynomial at
brainly.com/question/17517586
#SPJ1
A random sample of 100 people was taken. eighty-five of the people in the sample favored candidate a. we are interested in determining whether or not the proportion of the population in favor of candidate a is significantly more than 80%. the test statistic is?
Answer:
Step-by-step explanation:
Sorry if this is different, but based on what I read, here is the answer.
100 x 0.85 = 85
therefor it is 85%, which is significantly more than 80%
Luis typically eats 4 1/4 ounces of fruit each day. Today he ate his usual amount. Write each answer as a fraction and as a decimal. Use bar notation is necessary.
Answer:
Fraction: 4 1/4 = 17/4
Decimal: 17/4 = 4.25
Step-by-step explanation:
Q9.
Rachel, Samina and Tom share £600 between them.
2
Rachel gets 2/5 of the £600
ima
Samina gets 1/4 of the money that is left over.
Tom gets the rest of the money.
Tom says,
"I would have got more money if we had shared the £600 equally between us."
Is Tom correct?
You must show how you get your answer.
No. Tom is not correct.
If the money were split equally everyone would've gotten £200.
But, if everyone went by the mentioned distribution, then,
Rachel would get = 2/5 x 600 = £280
Remainder money = 600 - 280 = £320
Samina would get = 1/4 x 320 = £80
Tom would get the remaining money = 600 - (280 + 80)
= 600 - 360
= £240
Since, £240 > £200, Tom would be incorrect in saying he would have had more money if he had split the money equally.
To learn more about money splitting visit
https://brainly.com/question/29522175
Write the linear equation in slope intercept form
The given linear equation (1/3)x+ y=2 in the slope-intercept form is
y=(-1/3)x+2.
Explain about slope-intercept form?Where m is the slope and b is the y-intercept, the slope-intercept form is represented as y = mx+ b. By utilizing y=mx+ b, a line is typically simple to graph. The point-slope form and standard form of linear equations are further types. Example 1: A line with a slope of 1/2 and a y-axis crossing at (0, -3). Calculate the line's equation. It is y = x/2 - 3 that determines the line's equation. Example 2: Determine the equation utilizing the y-y-intercept axis's and the horizontal line's slope intercept formula (0, 8).
Finding the slope between two points on a line and then solving for the y-intercept in the slope-intercept equation y=mx+ b allow us to build an equation for that line.
Given linear equation is:
(1/3)x+ y=2
The following is the slope-intercept form of the given linear equation:
y=(-1/3)x+2
To know more about slope-intercept form, visit:
https://brainly.com/question/29146348
#SPJ1
50 points please help asap
The domain is set of all real numbers and the range is y ≥ -4
How to determine the domain and the range of the function?From the question, we have the following parameters that can be used in our computation:
The equation is given as
g(x) = |x + 4|
The domain
The above equation is an absolute value equation
An absolute value equation can take any value as its input
This means that the domain is the set of all real numbers
When represented as an interval, we have
The domain is (-∝, ∝)
Also, we have
-∝ < x < ∝
Hence, the domain is the set of all real numbers
The range
Here, we have
g(x) = |x + 4|
The above equation is an absolute value function
An absolute value function represented as
y = a|x - h| + k
Where
Vertex = (h, k)
So, we have
Vertex = (-4, 0)
Remove the x value
y = -4
Because the leading coefficient is positive, then the vertex is a minimum
i.e.
[-4, ∝)
Another representation is
y ≥ -4
So, the range is y ≥ -4
Read more about domain and range at
brainly.com/question/13146216
#SPJ1
Cuál es la diferencia entre la ley de senos y la ley de cósenos
The law of sines uses only two sides and the angles that are opposite them, while the law of cosines uses all three sides and only one of the sides opposite an angle
What are the laws about?An angle's cosine and sine are equal to each other, with the sine of an angle equal to the cosine of its complementary angle.
The law of cosines uses all three sides and only one of the sides that are opposite an angle, whereas the law of sines only uses two sides and the angles that are opposite them. The sine ratio is used by the law of sines, and the cosine ratio is used by the law of cosines.
Learn more about sines on:
https://brainly.com/question/19149891
#SPJ1
Complete question
What is the difference between the law of sines and the law of cosines
Here is the graph for one equation in a system of equations:
a) Write a second equation for the system so it has infinitely many solutions.
b) Write a second equation whose graph goes through (0, 1) so the system so it has no
solutions.
The answer to each part is -
for infinitely many solutions, the equation will be y = (-3/4)x + 4.for no solution, the equation will be y = (-3/4)x + 1.What is the general form of a straight line? What is a mathematical function, equation and expression?straight line equation : The general equation of a straight line equation is given byy = mx + c
where -
[m] : slope of line
[c] : y - intercept
Given is the graph of a straight line as shown.
[A] - A second equation for the system so it has infinitely many solutions can be the one that overlaps the line given. So the second equation can be written as follows. The points are -
(0, 4) and (4, 1)
Let the line be -
y = mx + c
m = (1 - 4)/(4 - 0) = -3/4
m = -3/4
So, the equation will be -
y = (-3/4)x + 4
[B] -
For no solution, the line will be parallel to the given line. The equation of the line is → y = (-3/4)x + 4. The equation whose graph goes through (0, 1) so the system has no solutions as : y = (-3/4)x + 1.
Therefore, the answer to each part is -
for infinitely many solutions, the equation will be y = (-3/4)x + 4.for no solution, the equation will be y = (-3/4)x + 1.To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ1
What is transpose of matrix
Step-by-step explanation:
it is the process of changing rows to columb
Which expression is equivalent to 10d+d-2d?
d+8
9d9d
1+8d1+8d
11d11d
pls help
Answer: 9d
Step-by-step explanation:
10d+d-2d = 9d
Jin went to the grocery store and bought bottles of soda and bottles of juice. Each
bottle of soda has 25 grams of sugar and each bottle of juice has 15 grams of sugar.
Jin purchased a total of 16 bottles of juice and soda which collectively contain 300
grams of sugar. Graphically solve a system of equations in order to determine the
number of bottles of soda purchased, x, and the number of bottles of juice
purchased, y.
Answer: x = 6, y = 10; as a point, that would be (6, 10).
Step-by-step explanation:
To do it graphically, you would just graph the equations 25x + 15y = 300 and x + y = 16. Then, you would find the intersecting point.
To do this, you should convert to point-slope format.
15y = -25x + 300 and x + y = 16
1) y = -5/3x + 20 and 2) y = -x + 16
Now, for equation 1, you start at the y-intercept (0, 20) and for every increase of 1 on the x-axis, you decrease -5/3 on the y-axis. To graph this in the software, you click on the point (0, 20) and on another point on the line y = -5/3x + 20. (Any will do, but it should be an integer. (3, 15) works.)
Do the same for equation 2. Start at the y-intercept (0, 16) and decrease 1 for every increase of 1 on the x-axis.
Look for the point(s) where the lines intercept. It is (6, 10). If you have the time, you can verify this algebraically.
The bears in Alaska are limited to a certain area to live due to the resources available for
food and shelter. After years, the number of bears living in the area is modeled by the function below. Using the function, find the number of bears after 17 years.
The number of bears living in the area after 17 years is; 22555
How to solve exponential functions?We are given the function;
f(t) = 103/(1 + 26e^(-0.31t))
Where f(t) is a function that models the number of bears living in the area after t period of years.
Thus, to find the number of bears living in the area after 17 years, we will just substitute 17 for t in the given function to get;
f(17) = 103/(1 + 26e^(-0.31*17))
f(17) = 103/0.00456653759
f(17) ≈ 22555 bears
Read more about Exponential functions at; https://brainly.com/question/2456547
#SPJ1
What is the axis of symmetry? What are the coordinates of the vertex?
y=-x² +8x+12
Answer:
axis of symmetry : x = 4
coordinates of the vertex : (4, 28)
Step-by-step explanation:
Before we start solving, let's define what the coefficients of this quadratic equation is.
[tex]y = ax^2 + bx + c[/tex]
[tex]y = -x^2 + 8x + 12[/tex]
a = -1
b = 8
c = 12
⭐What is the axis of symmetry?
the vertical line that cuts through the vertex and makes the parabola into 2 symmetrical halvesequation: x=To find the axis of symmetry, we need to find the x-coordinate of the vertex.
Equation for the x-coordinate of the vertex:
[tex]x = \frac{-b}{2a}[/tex]
Substitute the values of a, b, and c into this equation and compute.
[tex]x = \frac{-(8)}{2(-1)}[/tex]
[tex]x = \frac{-8}{-2}[/tex]
[tex]x = 4[/tex]
∴ The axis of symmetry is x = 4
⭐What is the vertex of a parabola?
the absolute highest or lowest point of the parabolaTo find the x-coordinate of the vertex, you can use the formula: [tex]x = \frac{-b}{2a}[/tex].
To find the y-coordinate of the vertex, substitute the x-coordinate of the vertex and compute.
x-coordinate: 4
y-coordinate:
[tex]y = -x^2 + 8x + 12[/tex]
[tex]y = -(4)^2 + 8(4) + 12[/tex]
[tex]y = -(16) + 32 + 12[/tex]
[tex]y = -16 + 44[/tex]
[tex]y = 28[/tex]
y-coordinate: 28
∴ The coordinates of the vertex is (4,28)
⭐if this response helped you, please mark it the "brainliest"!⭐
On a team,8 girls and 5 boys devoted a total of 87 points. The difference between the number of points scored by the 8 girls and the number of points scored by the 5 boys is 57. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and boy
Answer:
Girls: 7 points each
Boys: 11 points each
Step-by-step explanation:
Erica takes out a loan to purchase a car. She borrows 12,000 at 12% annual percentage rate. Complete the statements. The graph is [Drop Down 1]. Erica's loan is a [Drop Down 2] loan. The equation which models this loan is [Drop Down 3]. If Erica pays off the loan in six years, she will have paid [Drop Down 4].
An increasing exponential function is modeled as follows:
A(t) = A(0)(1 + r)^t.
The parameters of the exponential function are given as follows:
A(0) is the initial value of the exponential function.r is the growth rate of the exponential function, as a decimal.She borrows 12,000 at 12% annual percentage rate, hence the initial value and the growth rate are given as follows:
A(0) = 12,000, r = 0.12.
Then the function that describes her loan is given as follows:
A(t) = 12000(1.12)^t.
After six years, the value of the loan is calculated as follows:
A(6) = 12000(1.12)^6 = $23,686.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
write a system of three linear equations with three variables each that has the unique solution . write your equations in standard form. use the variables , , and with non-zero coefficients.
the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.
2x + 3y + 4z = 30
3x + 4y + 5z = 45
5x + 6y + 7z = 75
The first equation is 2x + 3y + 4z = 30. The coefficients for the variables are 2, 3 and 4 which are all non-zero, meaning that this equation has a unique solution.
The second equation is 3x + 4y + 5z = 45. The coefficients for the variables are 3, 4 and 5 which are all non-zero, meaning that this equation also has a unique solution.
The third equation is 5x + 6y + 7z = 75. The coefficients for the variables are 5, 6 and 7 which are all non-zero, meaning that this equation also has a unique solution.
Therefore, the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.
Learn more about linear equation here
https://brainly.com/question/11897796
#SPJ4
