Answer:
Step-by-step explanation:
Cost for 1 person is ticket cost(x) plus skate rental = $(x+5).
Cost for 13 people = $13(x+5).
But we know the total cost was $195. So
13(x+5) = 195
- 7/10 divided by 2/5
Answer: 1.75 is the answer
Answer:
\( \frac{ - 7}{4} \)
Step-by-step explanation:
\( \frac{ - 7}{10} \div \frac{2}{5} \)
divide fraction by multiplying its reciprocal
\( \frac{ - 7}{10} \times \frac{5}{2 }\)
\( \frac{ - 7}{2} \times \frac{1}{2} \)
\( \frac{ - 7}{2 \times 2} \)
\( \frac{ - 7}{4} \)
4(4x-2) + 1 = 16x - 7
how many solutions
Answer:
infinite
Step-by-step explanation:
\(\\ \sf\longmapsto 4(4x-2)+1=16x-7\)
\(\\ \sf\longmapsto 16x-8+1=16x-7\)
\(\\ \sf\longmapsto 16x-7=16x-7\)
\(\\ \sf\longmapsto 0=0\)
this may help you with your question
Which of the following is not a factor in capacity planning?
a) approach used to measure capacity
b) economies of scale
c) prepare to deal with capacity in "chunks"
d) proximity to suppliers
e) identify the best operating level
The option that is not a factor of capacity planning is the option d
d) Proximity to suppliers
What is capacity planning?The process of ascertaining the production capacity an organization needs in order to meet changing demand for the products and services of the organization is known as capacity planning.
The factors considered in capacity planning are factors which include the capacity measurement approach, the economies of scale, preparedness to deal with the capacity in chunks, and activities towards identifying the best operating level.
Therefore, from the listed options, the option that is not a factor in capacity planning is the option (d) proximity to suppliers
Other aspects of the operations of an organization, such as supply chain management and logistics can be affected by the proximity of suppliers, but the proximity of suppliers is not directly linked to the determination process for the production capacity needed to meet the market demand.
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PLEASE HELP I WILL MARK YOU BRAINLIEST.
Janet is comparing the prices of bottled drinks. She finds one bottle of water that costs $1.92 and contains 12 ounces. She then finds one bottle of soda that costs $2.40 and contains 16 ounces. Which bottle costs less per ounce?
Answer:
1.92
Step-by-step explanation:
2.40 is more than 1.92
The equation of the line through (3, - 4) with slope 2/3
The table shows that w, weekly earnings, depends on h, the number of hours worked during the week.
Weekly Earnings
Hours Worked Weekly Earnings
(h)
10
20
30
40
$90.00
$180.00
$270.00
$360.00
Which equation expresses the relationship between h and w?
w=h+ 80
w=h+90
Ow=9h
90w 10h
The equation that expresses the relationship between hours and w is w = 90h
Based on the given table, we can observe that the weekly earnings (w) depend on the number of hours worked (h) in a linear fashion.
We can see that for every 10 hours worked, the earnings increase by $90.
Therefore, the equation that expresses the relationship between h and w is w = 90h
This equation states that the weekly earnings (w) are equal to 90 times the number of hours worked (h).
Hence, the equation that expresses the relationship between h and w is w = 90h
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X=______ ft heIp pIz
Answer: x= 67.5 feet
Step-by-step explanation:
Johanna is doing a expermient in which she test how high, in centimeters, different people people can jump when using a trampoline
Johanna is conducting an experiment to measure the height that different people can jump using a trampoline. The data collected in this experiment can be used to identify trends and patterns in the jumping ability of the participants.
To conduct the experiment, Johanna will need to gather a sample of participants of various ages, genders, and fitness levels. She will then need to ensure that each participant jumps on the trampoline using the same technique and is measured in the same way to ensure accuracy and consistency of the data.
After collecting the data, Johanna can analyze it to identify any trends or patterns in the jumping ability of the participants. She may use statistical methods such as calculating the mean, median, mode, range, and standard deviation of the data to better understand the results. She may also use graphs and charts to visually represent the data and identify any outliers or anomalies.
Overall, Johanna's experiment can provide valuable insights into the jumping ability of different people and may be useful in designing training programs or evaluating the effectiveness of trampoline exercises.
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Which of the following terms describe the relationship between the number of notes and each syllable of a text and which do not?
-syllabic
-melismatic
-neumatic
The terms syllabic, melismatic, and neumatic are all related to the number of notes in relation to each syllable of a text. Syllabic means that each syllable of the text is sung to one note.
This is the simplest type of setting for text to music. In contrast, melismatic means that each syllable of the text is sung to many notes, creating a more intricate and ornamental melody. Neumatic is somewhere in between syllabic and melismatic, where each syllable is sung to a few notes, but not as many as in a melismatic setting.
Syllabic, melismatic, and neumatic all describe the relationship between the number of notes and each syllable of a text.
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the area of the triangle below is 1/4 square meters. what is the length of the base. express your answer in simplest form
Answer:
4/5
Step-by-step explanation:
Given,
Area of the triangle = 1/4 square meters
From the diagram,
Height = 2/5 m
To find : Length of the base
Formula : -
A = bh/2
Here,
A denotes Area
b denotes Base
h denotes Height
A = 1/4
h = 2/5
A = bh/2
Cross multiply,
A * 2 = bh
2A = bh
2 * (1/4) = b * (2/5)
(1 * 2)/4 = (b * 2)/5
2/4 = 2b/5
1/2 = 2b/5
Cross multiply,
1 * 5 = 2 * 2b
5 = 4b
b = 4/5 meters
Hence,
The length of the base is 4/5 meters.
The length of the base of the triangle is 5/4 meters.
What is Triangle?A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.
Sum of the interior angles of a triangle is 180 degrees.
The formula to find the area of the triangle is,
Area = \(\frac{1}{2}\) × base × height
Given,
Area of the given triangle = 1/4 square meters
Height = 2/5 meters
Substituting in to the formula,
\(\frac{1}{2}\) × base × 2/5 = 1/4
1/5 × base = 1/4
Base = 5/4 meters
Hence the base of the triangle is 5/4 meters.
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Evaluate the function at the given value of the independent variables. Simplify the results. g(x,y)=∫yx(2t−5)dt;g(6,0).
The function g(x, y) = ∫yx(2t - 5)dt evaluates to g(6, 0) = 0 when x = 6 and y = 0.
To evaluate the function g(x, y) = ∫yx(2t - 5)dt at the given values of the independent variables x = 6 and y = 0, we need to substitute these values into the integral expression and perform the integration.
However, before we proceed, it's important to note that the given function contains an indefinite integral (∫) with respect to the variable t. The presence of the integration symbol implies that the function g(x, y) is actually an antiderivative of the integrand yx(2t - 5) with respect to t.
Let's proceed with the evaluation.
g(x, y) = ∫yx(2t - 5)dt
Substituting x = 6 and y = 0 into the integrand, we have:
g(6, 0) = ∫0(6)(2t - 5)dt
Since y = 0, the integrand simplifies to:
g(6, 0) = ∫0(0)dt
Here, we can see that the integrand is zero. Therefore, the integral evaluates to zero as well. This means that the value of the function g(6, 0) is zero.
Hence, g(6, 0) = 0.
In this case, the given function represents the definite integral of the function yx(2t - 5) with respect to t, where the lower limit of integration is y and the upper limit is x. However, since y = 0, the integral reduces to evaluating the function over an interval with zero width, resulting in an output of zero.It's important to note that the evaluation of the function g(6, 0) depends on the specific values assigned to x and y. If the value of y were non-zero, the result would differ.
In summary, the function g(x, y) = ∫yx(2t - 5)dt evaluates to g(6, 0) = 0 when x = 6 and y = 0.
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a 20-foot extension ladder is placed 7 feet away from a house. how far up the side of the house does the ladder reach?
the ladder reaches about 18.75 feet up the side of the house.
we can use the Pythagorean theorem which states that in a right triangle, the sum of the squares of the two shorter sides (the legs) is equal to the square of the longest side (the hypotenuse). In this case, the ladder is the hypotenuse, and the distance from the house to the base of the ladder is one leg.
So, if we let x be the distance up the side of the house that the ladder reaches, then we can write:
\(x^{2}\) + \(7^{2}\) = \(20^{2}\)
Simplifying this equation, we get:
\(x^{2}\) + 49 = 400
Subtracting 49 from both sides, we get:
\(x^{2}\) = 351
Taking the square root of both sides, we get:
x ≈ 18.75 feet
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Please awnser all 3 like Question 6: awnser, q7: awnser they easy (brainlist)
The amount spent by each friend is 5d + 9.75 = 63.75; d = 10.8 and the mathematics sentence is -10(r + 12.5) = 60.5
How to determine amount spent by each friendIn the question, we have
Total = 63.75
Meal = 9.75 each
Dessert = d each
So, the equation is
5d + 9.75 = 63.75
Evaluate the like terms
5d = 54
Divide by 5
d = 10.8
So, the equation and the result are 5d + 9.75 = 63.75; d = 10.8
How to determine the mathematics sentenceHere, we have
Negative ten times the sum of a number and 12.5 is 60.5.
Let the number be r
So, we have
-10(r + 12.5) = 60.5
How to determine the cost of the jalapeno peppers.Based on the problem statement, we have
8.94 * 3 = 1/3 * (17.95 + j)
So, we have
80.46 = 17.95 + j
Evaluate
j = 62.51
Hence, the cost of the jalapeno peppers is $62.51
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Calculate the sum of areas that are bounded by y= 2 and y=evzx – x2 O 41.870 O 19.193 O 3.005 O 3.010
The sum of areas bounded by y = 2 and y = ex - x² is 19.193.
To calculate the sum of areas that are bounded by
y = 2
and
y = ev zx - x²,
the formula for finding the area of a curve bounded by two other curves will be used.
The formula states that:
Area = integral of upper function - integral of lower function
Where the upper and lower functions are the equations of the curves bounding the area to be calculated.
The given curves are
y = 2 (upper function)
and
y = ex - x² (lower function)
For the lower function
y = ex - x²,
let's equate it to
y = 2
to obtain the limits of integration:
ex - x² = 2
Rearranging, we get
x² - ex + 2 = 0
This equation is solved using the quadratic formula:
x = (-b ± √(b² - 4ac))/2a
Taking
a = 1, b = -e, c = 2,
the quadratic formula becomes:
x = (e ± √(e² - 8))/2
Therefore, the limits of integration are from
x = (e - √(e² - 8))/2 to
x = (e + √(e² - 8))/2
Using the formula to find the area:
Area = ∫(e + √(e² - 8))/2 to
(e - √(e² - 8))/2 (2 - ex + x²) dx
Area = [2x - ex + (1/3)x³]
from (e + √(e² - 8))/2 to
(e - √(e² - 8))/2
Area = 19.193 (rounded to three decimal places)
Therefore, the sum of areas bounded by y = 2 and y = ex - x² is 19.193.
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The scale for a drawing is 1 centimeter to 5 meters. If the actual object is 35 meters, the drawing is _____ centimeters long.
A. 30
B. 17
C. 7
D. 40
Answer:
its c.7
Step-by-step explanation:
I took the quiz
Answer:
c. 7
Step-by-step explanation:
i had this quiz also
what is the area model by multiplying using 33 x 65 showing four boxes in the
30 x 60 = 1800
3 x 60 = 180
30 x 5 = 150
3 x 5 = 15
Add the values together
1800 + 180 + 150 + 15 =2145
The answer is 2145
How do you expand and simplify :
(x+3)^2
Answer: x^2 + 6x + 9
Step-by-step explanation:
first, you square everything.
x^2 + 2x x 3 + 3^2
then, you calculate/evaluate.
x^2 + 6x + 9
A square enclosure, labelled ABCD is sketched out on a piece of graph paper. Three of the vertices of the square ABCD are located at A(0,3), B(4,0), and C(7,4). Determine the area of the square enclosure.
The area of the square enclosure is calculated as Area = AB² = 5² = 25 square units.
How to calculate area?To find the length of the fourth side of the square, find the distance between points C(7,4) and D(x,y). AB and CD are parallel and perpendicular to each other, so they have the same length. Hence,
AB = CD = √((4-0)² + (0-3)²) = 5
Using this distance to find coordinates at point D:
D(x,y) = A(0,3) + (-5,-5) = (-5,-2)
Now to find the length of each side of the square:
AB = CD = √((4-0)² + (0-3)²) = 5
BC = AD = √((7-4)² + (4-0)²) = 5
Therefore, the area of the square enclosure is:
Area = AB² = 5² = 25 square units.
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When you
use fraction strips, how can you tell if two
fractions are NOT equivalent?
Answer:
When using fraction strips, two fractions are not equivalent if they have different lengths when compared side-by-side. For example, if the strip representing 1/2 is shorter than the strip representing 3/4, then 1/2 and 3/4 are not equivalent fractions.
Step-by-step explanation:
A bus travels at a constant speed. The following table shows the distance the bus travels (in kilometers) over a period of time (in hours): distance (d) 42 252378 time (t) 0.53 4.5 a. Use complete sentences to describe the relationship represented in the table. b. Write an equation using variables that represents the relationship shown in the table. c. Use your equation to find how far the bus travels in 6 hours.THIS IS ALL THE QUESTION ASK SO DONT SAY DEOS IT COME WITH ANY THING
There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?
The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.
To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.
Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.
To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.
Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.
Therefore, the slope of the line that divides the region into two equal areas is 5.
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Please show all work and not just the answers.
Answer:
(-1, 6)
Step-by-step explanation:
Midpoint formula:
xm = (x1 +x2)/2ym = (y1+y2)/2For G(-7, 3) and H(5, 9) the midpoint:
((-7+5)/2, (3+9)/2) = (-1, 6)Answer:
(-1,6)
Step-by-step explanation
use the midpoint formula:
(x 1 + x2 /2 , y1 + y2/2)
(-7+ 5 /2, 3+ 9 /2)
after simplfying
(-1,6)
susan plays basketball for 8 minutes and makes 14 points if she plays for a total of 21 minutes approximately how many points will susan make
Answer: 12 points
Hope this helps!
Answer:
about 32 points
Step-by-step explanation:
every 8 minutes she makes 14
Q6) Renee buys 5kg of sweets to sell. She pays £10 for the sweets. Renee puts all the sweets into bags. She puts 250g of sweets into each bag. She sells each bag of sweets for 65p. Renee sells all the bags of sweets. Work out her percentage profit.
Answer:
30% percent profit
Step-by-step explanation:
100 pence in a pound.
1000 grams in a kilogram.
She bought 5000g of sweets.
She pays 10×100=1000 pence.
She put them into 5000÷250=20 bags.
She sells the bags for 65 pence each.
She sells them all for 20×65=1300 pence.
She gets a profit of 300 pence or 3 pounds.
She gets a percent profit of 30%.
A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 400 nails. The contractor bought six more small boxes than large boxes, which altogether had 1200 nails. Create a system of equations to represent this situation. Define the variables that you use to write the system.
Answer:
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some one already answered the question you have
Step-by-step explanation:
State the equation of the graphed function.
The equation of the graphed function is given as follows:
f(x) = x³ + 2x² - 5x - 6.
How to obtain the equation of the function?
The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.
From the graph, the zeros of the function are:
x = -3.x = -1.x = 2.Hence the function is:
f(x) = a(x + 3)(x + 1)(x - 2).
In which a is the leading coefficient.
Expanding the product, we have that:
f(x) = a(x² + 4x + 3)(x - 2)
f(x) = a(x³ + 2x² - 5x - 6).
When x = 0, y = -6, hence the leading coefficient a is obtained as follows:
-6a = -6
a = 1.
Hence the function is:
f(x) = x³ + 2x² - 5x - 6.
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If AB = 45, find the length of AJ.
Answer:
AB= 45 --> In 1st space untill 5th space
So, 45/5 = 9 unit each space
AJ ?
Using 2 space 1st until 2nd
so, 9 unit × 2 = 18 unit
I hope this helps^_^
Would it be surprising to get a sample mean of ¯ = 64.7 or larger in an SRS of size 20 when = 64 inches and = 2.5 inches? Justify your answer
The dotplot depicts that Only 12% of the values of x were 64.7 or greater. Because this is such a small percentage it would be surprising to get a sample mean of 64.7 or larger in an SRS of size 20 from a Normal population with μ = 64 and σ = 2.5.
How to explain the dotplotThe dotplot shows that only 12% of the simulated sample means were 64.7 or greater. This means that it is unlikely to get a sample mean of 64.7 or greater if the population mean is actually 64. In other words, the evidence suggests that the population mean height is greater than 64 inches.
The dotplot shows the distribution of the sample means of 250 simulated samples of size 20. The population mean is 64 and the population standard deviation is 2.5.
The fact that only 12% of the simulated sample means were 64.7 or greater means that it is unlikely to get a sample mean of 64.7 or greater if the population mean is actually 64.
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Nathan and his brother Zach love to play video games. Right now, Nathan's score is 11 less than 2 times Zach's score.-example, if Zach has 80 points, then Nathan has 149 points. Find four more possibilities for the brothers' scores and fir he table below. Then write a rule relating Nathan's score, N, to Zach's score, Z.
Zach's score, Z, and Nathan's score, N, are related by the formula
2Z-11=N.
This is further explained below.
What are algebraic expressions?Generally, Assume Nathan has a score of N and Zach has a score of Z.
Zach's score is 11 points higher than Nathan's.
It implies,
N equals twice of Z minus 11.
We may format it as follows:
2Z - 11 = N
There are now four possible outcomes for these two brothers' scores:
Zach's score will be determined using algebraic formulas if Nathan's score is 81.
2Z - 11 = 81
2Z = 92
Z = 46
Zach's score will be 61 if Nathan receives a score of 111.
Zach's score will be 121 if Nathan's score is 231 or higher.
Zach's score will be 456 if Nathan's score is 901.
The formula 2Z - 11 = Z is a rule that connects Nathan's and Zach's scores.
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What i Limit of StartFraction x quared x minu 12 Over x quared minu 3 x EndFraction a x approache 3?
0
StartFraction 7 Over 3 EndFraction
4
DNE
The limit of the fraction as x approaches 3 is 4.
We can use algebraic manipulation to simplify the fraction.
StartFraction x squared minus 12 Over x squared minus 3 x EndFraction
= StartFraction x squared minus 12 Over x squared minus 3 x EndFraction x squared
= StartFraction x squared minus 12 x squared Over x squared times x squared minus 3 x EndFraction
= StartFraction x squared times x squared minus 12 x squared Over x squared times x squared minus 3 x EndFraction
= StartFraction x to the fourth minus 12 x squared Over x squared times x squared minus 3 x EndFraction
Now we can plug in x = 3 to get the limit:
= StartFraction 3 to the fourth minus 12 x 3 squared Over 3 squared times 3 squared minus 3 x EndFraction
= StartFraction 81 - 36 Over 27 - 9 EndFraction
= StartFraction 45 Over 18 EndFraction
= 4
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