The equation that models this problem is 8p = 48.80. The unit price per towel is $6.10.
To find the unit price per towel, we need to divide the total cost of the dish towels by the number of towels purchased. In this case, Susan paid $48.80 for eight dish towels, so the unit price per towel can be represented by the variable p. Therefore, the equation 8p = 48.80 represents this problem, where p is the unit price per towel and 8 is the number of towels.
We can solve for p by dividing both sides of the equation by 8, which gives us p = 6.10. Therefore, the unit price per towel is $6.10.
In conclusion, the equation that models this problem is 8p = 48.80, where p is the unit price per towel, and the unit price per towel is $6.10.
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A farmer sells 9.7 kilograms of pears and apples at the farmer's market. 4 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
if 4 5 is 4.5 then the answer would be 5.2
Step-by-step explanation:
9.7-4.5
FREE BRAINLESS THE FIRST PERSON WHO ANSWER THIS
leo spends $5 per week on music. write an equation that equation that determines the dollars spend D per week.
A. d=5w
b. d=5+w
c. w=5d
d. w=5+d
A bag contains marbles that are either yellow,
white or red.
If a marble is chosen from the bag at random,
P(yellow) = 34% and P(red) = 15%.
a) Decide whether picking a yellow marble and
picking a red marble from the bag are
mutually exclusive events. Write a sentence
to explain your answer.
b) Write a sentence to explain whether it is
possible to work out P(yellow or red). If it is
possible, then work out this probability, giving
your answer as a percentage.
Answer:49%
Step-by-step explanation:
a) Picking a yellow marble and picking a red marble from the bag are mutually exclusive events because a marble cannot be both yellow and red at the same time. Therefore, if one event occurs, the other cannot occur simultaneously.
b) It is possible to work out P(yellow or red) because the events of picking a yellow marble and picking a red marble are disjoint or mutually exclusive.
To find P(yellow or red), we can add the probabilities of picking a yellow marble and picking a red marble:
P(yellow or red) = P(yellow) + P(red)
P(yellow or red) = 34% + 15%
P(yellow or red) = 49%
Therefore, the probability of picking a yellow or a red marble from the bag is 49%.
The city of London, England, has an
elevation of 11 meters.
Which of these describes the elevation
of London?
below sea level
at sea level
above sea level
Answer:
above sea level
Step-by-step explanation:
help pls thank you :)))$$:$:
Answer:
C.
Step-by-step explanation:
please mark me brainliest!!
Answer:
The answer is A
Step-by-step explanation:
Denominator *100* is higher
please help me ill give brainliest
Answer:
9
-5 - 7(-2)
-5 - (-14)
+9
Which algebraic expression has like terms? 9 n cubed minus 2 n + 3 minus 4 n squared 7 n cubed + 3 n minus 3 minus 6 n squared 7 n cubed + 4 n minus 3 n cubed minus 5 n squared 6 n cubed minus 4 n Superscript 4 Baseline + 6 n minus 5 n squared
Question
Which algebraic expression has like terms?
\(9n^3 - 2n + 3 - 4n^2\)
\(7n^3 + 3n - 3 - 6n^2\)
\(7n^3 + 4n - 3n^3 - 5n^2\)
\(6n^3 - 4n^4 + 6n - 5n^2\)
Answer:
A. \(9n^3 - 2n + 3 - 4n^2\)
B. \(7n^3 + 3n - 3 - 6n^2\)
Step-by-step explanation:
Given:
The above expressions
Required:
Expressions with like terms
Algebraic expressions are said to have like terms if and only if the have the equivalent exponents;
Like terms are dependent on the exponents and are independent on the sign of each terms.
Listing out the exponents of each options;
A. \(9n^3 - 2n + 3 - 4n^2\)
The exponents of n are 3 1 0 2
Rearrange: 0 1 2 3
B. \(7n^3 + 3n - 3 - 6n^2\)
The exponents of n are 3 1 0 2
Rearrange: 0 1 2 3
C. \(7n^3 + 4n - 3n^3 - 5n^2\)
The exponents of n are 3 1 3 2
Rearrange: 1 2 3 3
D. \(6n^3 - 4n^4 + 6n - 5n^2\)
The exponents of n are 3 4 1 2
Rearrange: 1 2 3 4
From the list of exponents above, only A and B are equal;
Hence, the following expressions have the like terms
A. \(9n^3 - 2n + 3 - 4n^2\) and B. \(7n^3 + 3n - 3 - 6n^2\)
a rectangle is constructed with its base on the diameter of a semicircle with radius 12 and with its two other vertices on the semicircle. what are the dimensions of the rectangle with maximum area?
As describes in geometry the area of the rectangle = 288cm
what is geometry ?
The area of mathematics known as geometry is concerned with the characteristics of the surrounding space as well as the shapes of individual objects and their spatial relationships.
solution
radius of semicircle = 12
diameter will be = 24 and this is the length of rectangle s given in the question
area of the rectangle = l*b
= 24*12
area of the rectangle = 288cm
Hence the area of the rectangle = 288cm
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What degree of rotation about the origin will cause the triangle below to map onto itself?
Answer:
=360
explanation:
When you’re talking about rotation you go counterclockwise and each quadrant is another 90 degrees.
Answer:
360
Step-by-step explanation:
The recipe says it serves 8 people. By what number should jenny multiply each ingredient to make enough meatloaf for 40 people?
Answer:
5
Step-by-step explanation:
8*5=40 so you multiply the ingredients by 5
The position vector of a particle is given by
r
(t)=0.1t
i
^
+0.3t
2
j
^
+11
k
^
in units of meters and t is in units of seconds. What is the acceleration of the particle at t=2 s ? 11: For the particle above, that angle does the particle's velocity make with the +x axis at t=2 s ?
The position vector of a particle is given by r(t)=0.1ti^+0.3t2j^+11k^ in meters and t is in seconds. To find the particle's acceleration at t = 2 s, we can find its velocity vector by dividing it by time. The acceleration is zero, and the particle's velocity makes an angle of 84.3° with the +x-axis at t = 2 s. Therefore, the particle's acceleration at t=2s is 0 m/s^2.
The position vector of a particle is given by r(t)=0.1ti^+0.3t2j^+11k^ in units of meters and t is in units of seconds. Let's find the acceleration of the particle at t = 2 s.First, find the first derivative of the position vector r(t) to get the velocity vector
v(t).r(t) = 0.1ti^+0.3t2j^+11k^ ...........................(1)
Differentiating equation (1) with respect to time, we get the velocity vector
v(t).v(t) = dr(t) / dt = 0.1i^ + 0.6tj^...........................(2)
Differentiating equation (2) with respect to time, we get the acceleration vector
a(t).a(t) = dv(t) / dt = 0j^...........................(3)
Substituting t = 2 s in equation (3), we geta(2) = 0j^= 0 m/s^2
The acceleration of the particle at t = 2 s is zero. 11. For the particle above, what angle does the particle's velocity make with the +x-axis at t=2 s?Velocity vector at time t is given by,v(t) = 0.1i^ + 0.6tj^Substituting t = 2 s, we get,v(2) = 0.1i^ + 1.2j^The angle θ made by the velocity vector with the +x-axis is given by,
θ = tan⁻¹(v_y/v_x)
where, v_y = y-component of velocity vector, and v_x = x-component of velocity vectorSubstituting the values,θ = tan⁻¹(1.2/0.1) = tan⁻¹(12) = 84.3°
The particle's velocity makes an angle of 84.3° with the +x-axis at t = 2 s. Therefore, the answer is, "The acceleration of the particle at t=2s is 0 m/s^2. The angle the particle's velocity makes with the +x-axis at t=2s is 84.3°."
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Write a entence decribing a ituation that could be reapreented by the equation 4 divided 1 1/3
The equation could be described by "the product of three and the reciprocal of four divided by three"
What is a fraction?Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.
To solve this problem we must perform the corresponding algebraic operations with mixed fraction.
Original equation:
4 / (1 1/3)
A mixed operation is solved as follows:
For the denominator: the same denominator is placed.
For the numerator:
The value of the denominator is multiplied by the integer component.The result is added to the numerator of the fraction.We transform the mixed fraction into improper fraction and we have:
1 1/3 = [(3*1) + 1)] /3 = [3+ 1] /3 = 4/3
Now, describing the equation with the improper fraction we get:
4 / (4/3)
Solving the division with fractions we have:
(4*3) / 4
This means that "the product of three and the reciprocal of four divided by three"
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Sharon, Mark, Beverly and Bruce each work as a doctor, lawyer, teacher or farmer. From the clues below, decide who is the farmer?
1. Mark is not a teacher or a farmer.
2. Beverly is either a teacher or a doctor.
3. Bruce is not a lawyer or a farmer.
4. The doctor is a man.
A. Sharon
B. Mark
C. Beverly
D. Bruce
9514 1404 393
Answer:
A. Sharon
Step-by-step explanation:
Mark is a Doctor or Lawyer, not a farmer.
Beverly is a Doctor or Teacher, not a farmer.
Bruce is a Doctor or Teacher, not a farmer.
Sharon is the only possible candidate for being a farmer.
Sharon is the farmer.
___
Bruce is the Doctor; Mark is the Lawyer; Beverly is the Teacher.
Answer:mark
Step-by-step explanation:the last clue says its mark or bruce beverly is a teacher sharon is the farmer 3 says bruce is not a lawyer so the doctor is mark
mark me brainliest plz
Consider angle θ in Quadrant I, where cosθ = 513 . What is the value of sinθ?
Answer:
12/13
Step-by-step explanation:
According to SOH CAH TOA;
cos theta = adjacent/hyp = 5/13
adj = 5
hyp = 13
Get the opposite
opp = √13²-5²
opp = √169-25
opp = √144
opp = 12
Get sin theta
sin theta = opposite/hyp
sin theta = 12/13
Hence the value of sin theta is 12/13
how to find the value of x in a triangle (5x-11)°, (2x+20)°, (11x-63)°
Answer:
x=13
Step-by-step explanation:
Well, the triangle is always equal to 180 degrees in total. Lets remember that x will always be the same in every equation.
So, (5x-11) x (2x+20) x (11x-63) = 180.
Now, take away the parenthesis and add up all the like terms.
This should = 18x-54 = 180.
Now solve like you regularly would. Add 54 on both sides which equals,
18x=234. Now, divide 18 on both sides.
x = 13.
Hope this helps.
What value of C will make the following system a dependent system (one in which the lines coincides)15x +20y= -106x + 8y= c
ANSWER
C = -4
EXPLANATION
Given:
15x +20y= -10
6x + 8y= c
Thus we have:
a1 = 15x, b1 = 20y, c1 = -10
and
a2 = 6x, b2 = 8y, c2 = c
The condition now is:
\(\frac{a_1}{a_2}\text{ = }\frac{b_1}{b_2}\text{ = }\frac{c_1}{c_2}\)i.e:
\(\frac{15x}{6x}=\frac{20y}{8y}\text{ = }\frac{-10}{c}\)Determine c using the x
\(\begin{gathered} \frac{15x}{6x}=\frac{-10}{c} \\ \frac{5}{2}\text{ = }\frac{-10}{c} \\ 5c\text{ = -20} \\ c\text{ = -}\frac{20}{5} \\ c\text{ = -4} \end{gathered}\)Determine c using the y
\(\begin{gathered} \frac{20y}{8y}\text{ = }\frac{-10}{c} \\ \frac{10}{4}\text{ = }\frac{-10}{c} \\ 10c\text{ = -40} \\ c\text{ = }\frac{-40}{10} \\ c\text{ = -4} \end{gathered}\)Hence, the value of C that will make the systems a dependent system is -4.
The area of a rectangular field is 6942 m
If the width of the field is 78 m, what is its length?
m².
Length of the field:
The required length of the rectangle is 89 m.
Given that,
The area of a rectangular field is 6942 m. If the width of the field is 78 m, what is its length is to be determined.
Perimeter is the measure of the figure on its circumference.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
The area of the rectangle = length * width
6942 = length * 78
length = 89 m
Thus, the required length of the rectangle is 89 m.
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Find the length of the side of an equilateral triangle whose area is 9√3 cm2
Please help for 10 points
Answer:
s = 6 cm
Step-by-step explanation:
The area (A) of an equilateral triangle is calculated as
A = \(\frac{s^2\sqrt{3} }{4}\) ( s is the length of side )
Here A = 9\(\sqrt{3}\) , thus
\(\frac{s^2\sqrt{3} }{4}\) = 9\(\sqrt{3}\) ( multiply both sides by 4 to clear the fraction )
s²\(\sqrt{3}\) = 36\(\sqrt{3}\) ( divide both sides by \(\sqrt{3}\) )
s² = 36 ( take the square root of both sides )
s = \(\sqrt{36}\) = 6
what percentage of skus have line fill rates of less than 100 percent?
To determine the percentage of SKUs (Stock Keeping Units) that have line fill rates of less than 100 percent, we need more specific information about the data. Line fill rate refers to the proportion of orders or requests for a specific SKU that are filled completely from available stock.
If we have data on the line fill rates of each SKU, we can calculate the percentage by dividing the number of SKUs with line fill rates less than 100 percent by the total number of SKUs, and then multiplying by 100.For example, if we have data on 500 SKUs and 250 of them have line fill rates less than 100 percent, the percentage would be (250/500) * 100 = 50 percent.
Therefore, without specific data on the line fill rates of SKUs, it is not possible to determine the exact percentage.
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suppose that we also have reason to believe (from previous studies) that the population standard deviation of credit card debts for this group is $150. what is the sample size needed to reduce the margin of error to $25 for a 95% confidence interval?
We need a sample size of 35 to reduce the margin of error to $25 for a 95% confidence interval, given that we have reason to believe that the population standard deviation of credit card debts for this group is $150.
To determine the sample size needed to reduce the margin of error to $25 for a 95% confidence interval, we can use the following formula:
n = (z * σ / E)²
Where:
n = sample size
z = z-score corresponding to the desired confidence level (1.96 for 95% confidence)
σ = population standard deviation
E = desired margin of error
Substituting in the given values:
n = (1.96 * 150 / 25)²
n = 34.57
Rounding up to the nearest whole number, we get a sample size of 35. Therefore, we need a sample size of 35 to reduce the margin of error to $25 for a 95% confidence interval, given that we have reason to believe that the population standard deviation of credit card debts for this group is $150.
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70°
x
82°
r
r
6 -
- 4)º
an
160°
(2y - 40
HELP ASAP
Answer:
Step-by-step explanation:
x + 70 = 180 {Linear pair}
x = 180 - 70
x = 110
y + 82 = 180 {linear pair}
y = 180 -82
y = 98
x - 4 = 110 - 4 = 106
2y - 40 = 2*98 - 40
= 196 - 40
= 156
Is the graph increasing, decreasing, or constant?
у
5
A. Increasing
B. Constant
C. Decreasing
Answer:
C) The graph is decreasing
Last month Nicole spent $30. This month she spent 140% of what she spent last month.
Write a proportional equation to represent the situation. How much did Nicole spend
this month?
Answer:
$42
Step-by-step explanation:
140% is equal to 1.4 because 140/100=1.4. Then you can just multiply 30 and 1.4 to get 42.
PLEASE HELP :((((
What is the first step in evaluating the expression shown below?
88 (3.7 + 4.3) – 2 2.6
88(3.7+4.3)-2*2.6
88(8)-2*2.6
704-2*2.6
704-5.2
698.8
I hope it helps!
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Eddie Foster packs and seals pens at rate of $0.235 per pack. At the end of his eight-hour
shift, Foster has packed and sealed 480 packs of pens. How much did he earn?
Answer:
$112.80
Step-by-step explanation:
If he earns $0.235 per pack, and there are 480 packs, then our equation is:
0.235 x 480 = $112.80
The amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8
What is unitary method?
The method in which first we find the value of one unit and then the value of the required number of units is known as the Unitary Method.
According to the given question.
Amount of money charged by Eddie for packing and sealing a pack of pens = $0.235
Therefore,
The amount of money charged by Eddie for packing and sealing packs of 480 pens
= 480 × $0.235
= $112.8
Hence, the amount of money earned by Eddie for packing and sealing packs of 480 pens is $112.8
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Help pls
What is the area, in
square yards, of the
deck represented by the
scale drawing?
Answer:
2448
Step-by-step explanation:
6. For each function determine:
i) the critical values
ii) the intervals of increasing or decreasing iii) the maximum and
minimum points.
f (x)=4x^2 +12x−7 (3 marks)
f (x)= x^3 −9x^2+24x −10
For f(x) = 4x^2 + 12x - 7: i) Critical value: x = -3/2, ii) Increasing interval: (-∞, -3/2), Decreasing interval: (-3/2, +∞), iii) Local minimum point: (-3/2, f(-3/2)).
For f(x) = x^3 - 9x^2 + 24x - 10: i) Critical values: x = 2, x = 4, ii) Increasing interval: (-∞, 2), (4, +∞), Decreasing interval: (2, 4), iii) Local minimum points: (2, f(2)), (4, f(4)).
To find the critical values, intervals of increasing or decreasing, and the maximum and minimum points of the given functions, we need to take the following steps:
i) Critical Values:
The critical values of a function occur where its derivative is either zero or undefined. To find the critical values, we need to differentiate the given functions.
For f(x) = 4x^2 + 12x - 7, we take the derivative:
f'(x) = 8x + 12
Setting f'(x) = 0 and solving for x:
8x + 12 = 0
8x = -12
x = -12/8
x = -3/2
For f(x) = x^3 - 9x^2 + 24x - 10, we take the derivative:
f'(x) = 3x^2 - 18x + 24
Setting f'(x) = 0 and solving for x:
3x^2 - 18x + 24 = 0
x^2 - 6x + 8 = 0
(x - 2)(x - 4) = 0
x = 2 or x = 4
ii) Intervals of Increasing or Decreasing:
To determine the intervals of increasing or decreasing, we need to analyze the sign of the derivative.
For f(x) = 4x^2 + 12x - 7:
Since f'(x) = 8x + 12, the derivative is positive for x > -3/2 and negative for x < -3/2. Therefore, the function is increasing on the interval (-∞, -3/2) and decreasing on the interval (-3/2, +∞).
For f(x) = x^3 - 9x^2 + 24x - 10:
Since f'(x) = 3x^2 - 18x + 24, we can factor the quadratic expression:
f'(x) = 3(x - 2)(x - 4)
The derivative is positive for x < 2 and x > 4, and negative for 2 < x < 4. Therefore, the function is increasing on the intervals (-∞, 2) and (4, +∞), and decreasing on the interval (2, 4).
iii) Maximum and Minimum Points:
To find the maximum and minimum points, we can use the critical values and analyze the behavior of the function.
For f(x) = 4x^2 + 12x - 7:
Since the function is increasing on the interval (-∞, -3/2) and decreasing on the interval (-3/2, +∞), the critical value x = -3/2 corresponds to a local minimum.
For f(x) = x^3 - 9x^2 + 24x - 10:
The critical values x = 2 and x = 4 correspond to potential maximum or minimum points. To determine which is which, we can analyze the behavior of the function around these points. By substituting values into the function, we can see that f(2) = 2 and f(4) = 2. Therefore, x = 2 and x = 4 correspond to local minimum points.
For f(x) = 4x^2 + 12x - 7:
i) Critical value: x = -3/2
ii) Increasing interval: (-∞, -3/2)
Decreasing interval: (-3/2, +∞)
iii) Local minimum point: (-3/2, f(-3/2))
For f(x) = x^3 - 9x^2 + 24x - 10:
i) Critical values: x = 2, x = 4
ii) Increasing interval: (-∞, 2), (4, +∞)
Decreasing interval: (2, 4)
iii) Local minimum points: (2, f(2)), (4, f(4))
Please note that the explanation provided assumes that the given functions are defined for all real numbers. If there are specific domains specified for the functions, it is important to consider them while determining the intervals and points.
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A cellular phone tower services a 15 mile radius. On a hiking trip, you are 9 miles east and 11 miles north of the cell tower. Are you in the region served by the tower?
The calculated distance is approximately 14.21 miles, which is less than the 15-mile radius of the cell tower. Therefore, you are within the region served by the tower.
To determine if you are within the region served by the cell tower, we can calculate the distance between your location and the tower using the Pythagorean theorem. According to the given information, you are 9 miles east and 11 miles north of the cell tower.
Using the Pythagorean theorem, the distance from your location to the cell tower can be calculated as follows:
Distance = √((east distance)^2 + (north distance)^2)
= √((9 miles)^2 + (11 miles)^2)
= √(81 + 121)
= √202
≈ 14.21 miles
The calculated distance is approximately 14.21 miles, which is less than the 15-mile radius of the cell tower. Therefore, you are within the region served by the tower.
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The line representing the equation part of the constraint 7x1 + 4x2 s 28 goes through the following two points a) (4,0) and (7,0). b) (0, 4) and (7,0). c) (4,0) and (0,7). d) (0, 4) and (0,7). e) none of the above
The required line representing the equation part of the constraint is go through (0, 4) and (7,0).
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
According to question:The line representing the equation 7x1 + 4x2 = 28 is a boundary line that separates the feasible solutions from the infeasible solutions in a linear programming problem.
The line passes through two points, which can be determined by substituting the x1 and x2 values into the equation. By substituting the values (4,0) and (7,0) into the equation, we can see that both points satisfy the constraint.
This means that any point on the line also satisfies the constraint, and any point above or to the right of the line would be infeasible as they would not meet the requirement of the constraint.
Understanding the position and shape of the constraint lines is important in solving linear programming problems and finding the optimal solution.
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Help me I don’t understand please
Answer:
m<2= 48
m<3= 52
m<4= 48
Step-by-step explanation:
the opposite of 1 is 3 so 3 is 52 bc opposite angles have the same degree
to find angle 4 you subtract 90 by 52 bc 90 is the total for angle 1 and 4
to find angle 2. u find the opposite of it which is 42 and like i said opposite angles have the same degree
hope this helps