A company sets up a food booth at the county fair. The fee for the food booth is $100 plus $5 per day. The fee for the game booth is $50 plus $7 per day. How much does the company pay for both booths for 5 days? Response area
Answers
Answer:
$210
Step-by-step explanation:
We will model the food booth and game booth as linear functions \(f(x)=mx+b\) where \(m\) is the charge per day, \(b\) is the flat fee, and \(x\) is the number of days.
Food booth: \(F(x)=5x+100\)
Game booth: \(G(x)=7x+50\)
We solve for both equations, letting \(x=5\):
\(F(5)=25+100=125\)
\(G(5)=35+50=85\)
We add the two values to obtain the total cost of $210.
Related Questions
to exercises 4.141 and 4.137. suppose that y is uniformly distributed on the interval (0, 1) and that a > 0 is a constant. a give the moment-generating function for y. b derive the moment-generating function of w
Answers
The moment-generating function for y is given as eⁿᵇ - eⁿᵃ / n(b-a) and derivation of moment-generating function of y is e-1/t
Given that,
The interval (0, 1) is covered by a uniform distribution of y, and a > 0 is a constant.
The moment generating function is eⁿᵇ - eⁿᵃ / n(b-a)
The given interval is (0,1)
Here a =0;
b=1;
Now substitute the values of a and b in the above moment generating function we get,
y=eⁿᵇ - eⁿᵃ / n(b-a)
y=e^1-e^0/t(1-0)
y= e-1/t
Therefore, the derivation of the moment generating function is e-1/t
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(26 POINTS) !Based On the information in the table, is the cost of the apples proportional to the weight of apples ?
Answers
Answer:
Where is the table? Where
Answer:
Step-by-step explanation:
the point (12,5) is on the graph, what do the coordinates tell you about the water in the bucket?
I get an automatic 100 just for completing the assignment and I’m failing right now and really stressed. Should I just guess and receive all hundreds or actually work it out, it’s due at 12 and I have four more assignments.
Answers
Answer:
Just try your best for all of it, but make sure for each question, you at least have an answer, so the assignmet would count as complete.
Step-by-step explanation:
Answer:
submit whatever you have, guess all of it to get it all done. if you have time you can go back and check
Step-by-step explanation:
what is greatest least 1/4 1/5 1/2 1/9 2/11
Answers
Answer:
Greatest = 1/2Least = 1/9Step-by-step explanation:
Converting to decimal (nearest hundredth if needed)
1/4 = 0.251/5 = 0.2 1/2 = 0.5 [Greatest]1/9 = 0.11 [Least]2/11 = 0.18Hey there!
Convert to decimals,
1/4 = 0.25
1/5 = 0.20
1/2 = 0.50
1/9 = 0.11
2/11 = 0.18
Greatest to least = 1/2 > 1/4 > 1/5 > 2/11 > 1/9.
Greatest = 1/2
Least = 1/9
Hope this helps ya!
Please help and STOP PUTTING LINKS.
Thank You!
Answers
5/8=.625
Now that the fractions are converted to decimal form, it’s easier to order.
.01375, .25, 5/8 (.62), 11/16 (.68)
The answer is C. Hope this helps!
The triangle above has the following measures.
a = 31.3 in
b = 46.7 in
Find the mzB. to the nearest tenth.
33.8 degrees
Not enough information
42.1 degrees
56.2 degrees
47.9 degrees
Answers
Answer:
56.2
Explanation:
There is a way to remember the ways to solve for right triangles, SOH CAH TOA which stands for each of the ways to solve for angles or sides:
Sine: Opposite over Hypotenuse
Cosine: Adjacent over Hypotenuse
Tangent: Opposite over Adjacent
In this case, with the information we have, we would use tangent since we have both the opposite side, b, and the adjacent side, a.
It would be the inverse of tangent (tan⁻¹) since you are solving for the angle and not a side.
You would use a calculator to solve this, by dividing b by a.
tan⁻¹(b/a)
tan⁻¹(46.7/31.3) = 56.1686012868
Round to the nearest tenth = 56.2
*Make sure your calculator is in degrees mode or it will give you an incorrect result.
9. A weather forecaster reported that the total amount of rainfall for the month
was 0.95 inch. He also reported that this amount was 0.35 inch below the
average amount of rainfall for the same month during the last ten years. The
forecaster summarized his findings in this table. What was the average amount
of rainfall, in inches, for this month during the last ten years? *
Rainfall Findings
Amount of rainfall for the month:
Compared to average amount of rainfall for the month:
0.95 in.
-0.35 in.
Your answer
it
Answers
Answer:
1.3inch
Step-by-step explanation:
pls help
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
Answers
Answer:
the answer is 12 yd if you are talking about the question mark.
Step-by-step explanation:
Well, if you split this figure into two rectangles, then the 16 yd length becomes 12 yd because the one congruent to it is 4 yd. Both sides are congruent so you'd get 12 yd.
Answer:
BRAINLIEST
Step-by-step explanation:
If AABC ~ ADEF, then which of the following must be true? Check all that apply.
Answers
Answer:
#1 and #3
Step-by-step explanation:
What temperature is 9 degrees less than 0 degrees Celsius?
Answers
Temperature less than 0° C is -9° C.
What is subtraction?To subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.
Given a temperature 9 less than 0,
0° C - 9 = -9° C
Hence, Temperature less than 0° C is -9° C.
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Use the fact that 1.5 is the same as 3/2 to select all
of tile equations below that are equivalent to T=A^1.5
Answers
Answer:
It is all 4
Step-by-step explanation:
Answer:
all 4 , the next one is A
Step-by-step explanation:
Integers that satisfy the inequality -9 < x -3 < 1?
Answers
Answer:
see explanation
Step-by-step explanation:
Given
- 9 < x - 3 < 1 ( add 3 to each interval )
- 6 < x < 4
Thus integer values which satisfy the inequality are
x = - 5, - 4, - 3, - 2, - 1, 0, 1, 2, 3
The interior angle of a regular pentagon has a measure of:
A) 72°.
B) 108°.
C) 120°.
D) 144°.
Answers
Answer:
B) 108°
Step-by-step explanation:
You want the interior angle measure for a regular pentagon.
Interior anglesThe interior angles of a regular n-gon will have measure ...
180° -360°/n
When n = 5, the interior angles have measure ...
180° -360*/5 = 180° -72° = 108°
The interior angles of a regular pentagon are 108°.
__
Additional comment
The 360°/n comes from the fact that the sum of exterior angles for any convex polygon is 360°. For a regular n-gon, those exterior angles are congruent, so each is 360°/n. The interior angle is its supplement.
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which variable describes a channel's level of irregularities, such as large rocks and vegetation, and affects stream energy?
Answers
The variable that describes a channel's level of irregularities, such as large rocks and vegetation, and affects stream energy is called "roughness."
Roughness refers to the resistance that a channel's bed and banks present to the flow of water. Channels with higher roughness have more irregularities, such as large rocks, vegetation, and other obstructions that impede the flow of water, resulting in lower stream energy.
Conversely, channels with lower roughness have fewer obstructions and present less resistance to the flow of water, resulting in higher stream energy. Therefore, roughness is an important variable in stream hydrology and can significantly influence stream dynamics and geomorphology.
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28. Two similar triangles have perimeters in the ratio 3:5.
The sides of the smaller triangle measure 3 cm, 5 cm,
and 7 cm, respectively. What is the perimeter, in
centimeters, of the larger triangle?
Answers
Answer:
25cm
Step-by-step explanation:
first find the perimeter of the dmaller triangle. perimeter=add all sides
3+5+7=15cm
15cm=⅜
? = ⅝ (cross multiply)
15cm×⅝×8/3=25cm
perimeter of the larger triangle is 25cm
BC=
Round your answer to the nearest hundredth
Answers
will give brainliest if correct
Answers
Answer:
The mean is 6.7
The median is 6.5
The mode is 10
The range is 7
If x is a nontrivial solution of Ax=0, then every entry in x is nonzero. T/F?
Answers
The statement "If x is a nontrivial solution of Ax=0, then every entry in x is nonzero" is False.
A nontrivial solution means that there is at least one nonzero entry in x. However, it doesn't imply that every entry in x must be nonzero. It's possible to have a mixture of nonzero and zero entries in a nontrivial solution.
If x is a nontrivial solution of Ax=0, it means that x is a nonzero vector in the null space of A. This implies that A x = 0, which means that the linear combination of the columns of A given by x results in the zero vector.
However, this does not necessarily mean that every entry in x is nonzero. For example, consider the matrix A given by:
A = [1 0 1;
0 1 1;
1 1 2]
The null space of A contains the vector x = [-1; 1; 1], which is a nontrivial solution of Ax = 0. However, this vector has one entry that is zero and two entries that are nonzero.
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What is the simplify of 1 2/3 6/5
Answers
Step-by-step explanation:
you can look it up
Sand is pouring out of a tube at 1 cubic meter per second. It forms a pile
which has the shape of a cone. The height of the cone is equal to the radius of
the circle at its base. How fast is the sandpile rising when it is 2 meters high?
Answers
The sandpile is rising at a rate of (3/16)π meters per second when it is 2 meters high.
Let's begin by finding the equation that relates the height of the sandpile, the radius of its base, and the volume of the cone. We know that the volume of a cone is given by
V = (1/3)π\(r^{2h}\)
where V is the volume, r is the radius, and h is the height. We also know that sand is pouring out of the tube at a rate of 1 cubic meter per second, which means that the volume of the sandpile is increasing at a rate of 1 cubic meter per second.
Differentiating both sides of the equation with respect to time (t), we get:
dV/dt = (1/3)π(2rh dr/dt + r² dh/dt)
where dr/dt is the rate of change of the radius, and dh/dt is the rate of change of the height. We are given that the height of the cone is equal to the radius of the circle at its base, which means that
h = r
Differentiating both sides with respect to time, we get
dh/dt = dr/dt
Substituting h = r and dh/dt = dr/dt into the previous equation, we get
dV/dt = (4/3)πr² dr/dt
We are asked to find the rate at which the sandpile is rising when it is 2 meters high, which means that h = r = 2. Substituting this into the equation above, we get
dV/dt = (16/3)π dr/dt
We know that dV/dt = 1 cubic meter per second, so we can solve for dr/dt
dr/dt = (3/16)π meters per second
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The volume of a cylinder closed at the one end is 1056cm cube. If its height is 21cm, and the radius is 4, find the total surface area
Answers
Answer:
578 cm^2
Step-by-step explanation:
The surface area is given by one circle of radius 4 (the other is missing!), plus a "rectangle" (the lateral surface) of sides 21 and \(2\pi \times 4\) (the length of the circumference at the base). Adding them up we get:\(\pi \times4^2 + 21\times 2\pi\times4 = 184\pi \approx 578 cm^2\)
What is the slope of a line perpendicular to line B?
Answers
And simplified would be 5/2
Imagine you have a painting that is 15 feet wide and 5 feet high. To sketch a scaled copy of the painting, the ratio of the width and height of a scaled copy must be equivalent to 15:5. What is the height of the scaled copy that is 2 feet across (width) ? *
Answers
Answer:
the height is 6ft
Step-by-step explanation:
2 x 3 = 6ft
A kite has a height of 16 centimeters and a width of 10 centimeters. A kite was broken into two triangles of the same size and shape. The area of each triangle is square centimeters. The total area of the kite is square centimeters.
Answers
The area of the triangle is 40cm² and the total area of the kite is 80cm².
Here we have to find the area of a triangle and the total area of the kite.
Given data:
Height of kite = 16cm
Width of kite = 10cm
The height of a triangle = 10/2
= 5cm
base = 16cm
Area of the triangle = 1/2 ( 16) (5)
= 40 cm²
As it is given that the kite was broken into two equal triangles, therefore the area of the kite is the sum of both the triangle,
The total area of the kite = 2 × areas of a triangle
= 2 × 40
= 80 cm²
Therefore the area of a triangle is 40cm² and the total area of the kite is 80cm².
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Answer:
the first one is 40
and the second is 80
Step-by-step explanation:
:)
The binomials shown below will be multiplied to produce a quadratic trinomial (x+p) (x+q)which part of the trinomial will equally the product of p and q?
Answers
Thus, the part of the trinomial that's equal to the product of p and q is the constant
term!
B: The Constant Term
Step-by-step explanation:
Josh is 3 years older than Lynette. The sum of their ages is 49. Write expressions for Josh's age and Lynette's age, and use the expressions to write an equation relating their ages. Use the equation to determine Josh’s age and Lynette’s age.
Answers
Please help school is ending soon!Two days later, Kelly surveyed the same 13 classmates and found that none of them had been given math homework since she last surveyed them. By how much does the mean of Kelly’s second data set change in comparison with the mean of the data set in her original survey? Explain how to determine the change in the means without calculating the mean of either data set.
Answers
Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.
Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.
In other words, the change in the mean is calculated as follows:
Change in mean = Mean of second data set - Mean of first data set
Since none of the values in the second data set have changed, the mean of the second data set is the same as the mean of the first data set. Therefore, the change in the mean is:
Change in mean = Mean of second data set - Mean of first data set
= Mean of first data set - Mean of first data set
= 0
Thus, the change in the means between Kelly's original survey and her second survey is zero.
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What is the best approximation of the solution to the equation a(x) = b(x) ?
Image attached
Answers
Answer:
x = 2
Step-by-step explanation:
That would be the x-value where the two lines intersect
So I need help with something so can you explain a coordinates plane
Answers
Answer:
sure so quadrant one is top right and its positive positive and quadrant 2 top left and is negative positive quadrant 3 is bottom left and negative negative quadrant 4 is bottom right and its positive negative
Step-by-step explanation:
The volume of a cube is 8 cubic meters. What is the length (in meters) of one edge of the cube?
Answers
Answer:
2
Step-by-step explanation:
volume=base•width•high
2•2•2=8
The volume of a cube is \(8\) cubic meters then the length (in meters) of one edge of the cube will be \(2\) meters.
What is volume of a cube ?Volume of a cube is defined as the total space enclosed by the cube in a \(3D\) space. The unit of volume of the cube is given cubic units.
volume of the cube \(=a^3\)
Here,
\(a=\) side of cube
We have,
volume of the cube\(=8\) cubic meters
volume of the cube \(=a^3\)
⇒
\(a^3=8\)
\(a=\sqrt[3]{8}\)
\(a=2\) meters
So, the side of the cube is \(2\) meters of the given cube, find out using the above given formula of volume of the cube.
Hence, we can say that the volume of a cube is \(8\) cubic meters then the length (in meters) of one edge of the cube will be \(2\) meters.
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