Answer:
Each movie costs $15.05
Step-by-step explanation:
The price that was paid was $45.15
We know that there were 3 movies brought at the same prices.
We want to know how much each movie costs.
This is a simple division problem.
This is because the keywords "same" and also "each"
Do 45.15 divided by 3
45.15/3 = 15.05
Your answer is $15.05
You could verify by adding $15.05 three times.
$15.05 + $15.05 + $15.05 = $45.15
Therefore, Each movie costs $15.05
a A hole in the shape of a hemisphere is carved into each face of a cube. The holes are identical and centered at the centre of each face. The holes touch their neighbours at only one point. The cube has side 2. What is the diameter of each hole?
Diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.
What is a Hemisphere?A hemishpere is half of a sphere. Thus, two hemispheres makes one full sphere.
Given the image as shown below, since the identical hemispheral holes are centered at the center of each fce and they touch each other at only one point, it means that two hemisphere meet to make one full sphere.
Therefore, the diameter of a full sphere = side length of cube.
Thus, diameter of each hemispheral holes = the diameter of a full sphere = side length of cube = 2 units.
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Which is the better deal?
A) The 18 oz
B) The 12 oz
C) They are the same price per ounce
Answer:
a
Step-by-step explanation:
because you get more than you do in choice b
Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π3?
The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.
How to determine the instantaneous rate of change of a given functionThe instantaneous rate of change at a given value of [tex]x[/tex] can be found by concept of derivative, which is described below:
[tex]g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}[/tex]
Where [tex]h[/tex] is the difference rate.
In this question we must find an expression for the instantaneous rate of change of [tex]g[/tex] if [tex]f(x) = \sin x[/tex] and evaluate the resulting expression for [tex]x = \frac{\pi}{3}[/tex]. Then, we have the following procedure below:
[tex]g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}[/tex]
[tex]g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}[/tex]
[tex]g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x[/tex]
[tex]g(x) = \cos x[/tex]
Now we evaluate [tex]g(x)[/tex] for [tex]x = \frac{\pi}{3}[/tex]:
[tex]g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}[/tex]
The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. [tex]\blacksquare[/tex]
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The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.
What is the instantaneous rate of change?The instantaneous rate of change is the change in the rate at a particular instant, and it is the same as the change in the derivative value at a specific point.
The instantaneous rate of change is given by the following formula;
[tex]\rm g(x)=lim_{h\rightarrow 0}\dfrac{f(x+h)-f(x)}{h}[/tex]
The given function is;
[tex]\rm f(x)=sinx[/tex]
The function is also written as;
[tex]\rm g(x)=lim_{h\rightarrow 0}\dfrac{sin(x+h)-sin(x)}{h}\\\\g(x)=lim_{h\rightarrow 0}\dfrac{sinx cosh +cosx sinh-sinx}{h}\\\\g(x)=lim_{h\rightarrow 0}\dfrac{sinh}{h}. \ lim_{h\rightarrow 0} cosx\\\\g(x)=cosx[/tex]
Substitute the value of x in the function
[tex]\rm g(\pi /3)= cos(\pi /3)=1/2\\[/tex]
Hence, the instantaneous rate of change of g with respect to x at x = π/3 is 1/2.
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Complete the table below. Show all your work.
Explain how you know whether the numbers, 4/16 and 0.25 are equivalent numbers.
Answer:
When you divide 4/16 by 4 it equals 1/4. which is known as 0.25 or 25% of a whole.
Step-by-step explanation:
What are the measures of center for a data set?
Mean, Median, and Mode
Mean - Add all the numbers then divide by the number of numbers you added.
Median - The center of a set of numbers. (In a, b, c, d - b+c/2 is the median.)
Mode - The number that appears the most in a set of numbers.
They are called measures of center because they are statistics that describe the center of a set of data.
HELPPPPPPPPPPPPPPPPPPPPPP
Answer:
(-3,8)
step by step explanation:
y=-4/3 +4
x=-3
put in x value in first Problem
y=-4/3(-3) +4
solve
y= 12/3+4
y=4+4
y=8
we already know what x is so
x= -3, y=8
(-3,8)
hope this helps
The amount of garbage produced in the United States varies directly with the number of people who produce it. It is estimated that on average 200 people produce 50 tons of garbage annually. Approximately how many tons of garbage are produced each year by 100,000 people?
A. 800 tons
C. 125,000 tons
B. 25,000 tons
D. 400,000 tons
Answer:
B. 25,000 tons
Step-by-step explanation:
The equation is x(tons of garbage) = 1/4y(people). In this question, the y is given (100,000). using the equation, 1/4 of 100,000 is 25,000.
more questions!!! he
Answer:
[tex] - 3 \frac{1}{6} \div ( - 1 \frac{4}{9} ) \\ \\ - \frac{19}{6} \div ( - \frac{13}{9} ) \\ \\ - \frac{19}{6} \times ( - \frac{9}{13} ) \\ \\ - \frac{19}{2} \times ( - \frac{3}{13} ) \\ \\ = \frac{57}{26} = 2 \frac{5}{26} = 2.1923[/tex]
Answer:
2 5/26
Step-by-step explanation:
1) convert 3 1/6 to improper fraction. Use this rule: a b/c = ac+b/c
- 3 * 6 + 1/ 6 ÷ -1 4/9
2) Simplify 3*6 to 18.
-18+1/6 ÷ -1 4/9
3) Simplify 18 + 1 to 19.
-19/6 ÷ -1 4/9
4) convert 1 4/9 to improper fraction. Use this rule: a b/c = ac+b/c
-19/6 ÷ -1*9+4/4
5) Simplify 1 * 9 to 9
-19/6 ÷ -9+4/9
6) Simplify 9 + 4 to 13.
-19/6 ÷ -13/9
7) Use this rule: a ÷ b/c = a × c/b
-19/6 × 9/-13
8) Use this rule: a × c/d = ac/bd
- 19*9/6*-13
9) Simplify 19 * 9to 171
-171/6*-13
10) Simplify 6 * -13 to -78
-171/-78
11) Move the negative sign to the left.
-(-171/78)
12) simplify 171/78 to 57/26
-(-57/26)
13) Remove parentheses.
57/26
14) Convert to mixed fraction.
2 5/26
[Been stuck on this one for a while, please help if you can]
In order for you to carry a bag on the plane, it must fit inside the carry-on Baggage Check Box.
The carry-on Baggage Check Box has dimensions of approximately 22 inches x 14 inches x 9 inches.
Your black bag has a height of 18 inches, a depth of 12 inches and a width of 8 inches.
Your blue bag has a height of 18 inches, a depth of 15 inches and a width of 10 inches.
What is the volume of the Carry-on Baggage Check Box?
What is the volume of the black bag?
What is the volume of the blue bag?
Which bag will definitely fit in the Check Box? Explain.
-------------------------
You notice these two old suitcases stacked in the closet. The smaller suitcase is 25 inches x 8 inches x 9 inches and the larger suitcase is 75 inches x 20 inches x 18 inches.
The bigger suitcase is how many times larger than the smaller suitcase? HINT: You will need to divide on this one.
You decide to use the larger suitcase to transport rectangular prism watermelons back home. The watermelons are about 720 cubic inches. If one of the watermelons is about 10 inches long and 9 inches wide, about how tall would it be? (Hint: V=LxWxH, so plug h in 720=10x9xH and solve for H).
If the watermelons are about 720 cubic inches, what is the MAXIMUM amount of watermelons you’ll be able to bring home in your larger suitcase, assuming all you have in the suitcase is the watermelons. (Hint: Divide the larger suitcase volume and the volume of the watermelon).
The given dimensions of the, Check Box, bag, suitcase, and watermelons, we have;
First part;
Volume of the Check box is 2,772 in.³
Volume of the black bag is 1728 in.³
Volume of the blue bag is 2700 in.³
The bag that will definitely fit in the Check Box is; The black bagSecond part;
The number of times, the bigger suit case is larger than the smaller suit case is 15 timesThird part;
The height of the watermelon = 8 inchesThe maximum number of watermelon the larger suitcase can carry is 36 watermelonHow can the volume of the suitcases be found?Volume of the Carry-on baggage Check box, V_c can be found as follows;
V_c = 22 × 14 × 9 = 2772
Volume of the Check box, V_c = 2,772 in.³Volume of the black bag, V_b, can be found as follows;
V_b = 18 × 12 × 8 = 1728
Volume of the black bag, V_b = 1728 in.³Volume of the blue bag, V_bl, can be found as follows;
V_bl = 18 × 15 × 10 = 2700
Volume of the blue bag, V_bl = 2700 in.³Given that the height, depth and width of the black bag are smaller than the height, depth and width of the check box
The bag that will definitely fit in the Check Box is; The black bagSecond part;
Volume of the smaller suitcase is found as follows;
V_s = 25×8×9 = 1800
Volume of the bigger suitcase is found as follows;
V_b = 75 × 20 × 18 = 27,000
The number of times, the bigger suitcase is larger than the smaller suitcase is therefore;
n = 27,000 ÷ 1809 = 15
The number of times, the bigger suit case is larger than the smaller suit case is 15 timesThird part
The volume of the watermelon = 720 in.³
Which gives;
10 × 9 × H = 720
H = 720 ÷ (10 × 9) = 8
The height of the watermelon = 8 inchesTo maximize the number of watermelons, we have;
The length, 10, is a factor of 20
The width, 9, is a factor of 18
Therefore, we have;
Two rows of watermelon, and two layers of watermelon
Number of watermelon in a row is therefore;
R = 75 ÷ 8 ≈ 9
Maximum number of watermelon is therefore;
Max_n = 9 × 2 × 2 = 36
The maximum number of watermelon the larger suitcase can carry is 36 watermelonLearn more about finding the volume of a figure here:
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PLS HELP ASAP PLSSS PLSSS FIRST CORRECT ANSWER GETS BRAINLIEST PLS ANSWER
Answer:
√(23)
Step-by-step explanation:
The Pythagorean Theorem is a² + b² = c²
so...
a = 7
b = 3
7² + 3² = c²
14 + 9 = c²
√(23) = c
PLEASE RATE!! I hope this helps!!
If you have any questions let me know
Need it ASAP PLEASE HELP!!!!
Answer:
25π + 30m which is approx. 108.54m
Step-by-step explanation:
First, we can work out the angle of the middle of the playground. 360 - 60 = 300°
Next, we can find out the arc length of the playground using the formula:
θ/360 × πd → 300/360 × 30π = 25π
Finally, we need to add on the two radii to find the perimeter of the playground: 25π + 15 + 15 = 25π + 30m which is approx. 108.54m
Hope this helps!
Note: Images may not be drawn to scale
Square A'BC V' is a ditation of square ABCD.
What is the scale factor?
Enter your answer in the box
C
Be
7
8
9
11
4
5
6
6
1
2
3
V
:
$
0
*
Answer:
1/3
Step-by-step explanation:
The scale factor is the ratio of image lengths to original lengths. For this pair of figures, the scale factor is ...
A'B'/AB = 2/6 = 1/3
The scale factor is 1/3.
PLSS HELPP
Write down the smallest positive integer, n, such that 294n is a perfect square.
Step-by-step explanation:
Closest square root to 294 is 17(289) + 5
294 --> 9 is 287.
289 - 287 = 2.
2 is the biggest positive integer
Derive the equation of the line that goes through (−3, 1) and (0, −5).
A
y=−2x
B
y=2x−5
C
y= −2x−5
D
y=2x+5
Answer:
C) y = -2x - 5
Step-by-step explanation:
[tex]\sf let \ (x_1,y_1)=(-3,1)\\\\let \ (x_2,y_2)=(0,-5)[/tex]
[tex]\sf slope=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-5-1}{0-(-3)}=-2[/tex]
Point-slope formula: [tex]\sf y-y_1=m(x-x_1)[/tex]
[tex]\sf \implies y-1=-2(x-(-3))[/tex]
[tex]\sf \implies y=-2x-5[/tex]
Slope:-
m=-6/3=-2Equation in point slope form
y-1=-2(x+3)y-1=-2x-6y=-2x-5
I need help desperately lol
Answer:
Step-by-step explanation:
First find the shaded area. Ignore the fact that something is missing.
L = 16
w = 8
Area = L*w Substitute the givens
Area = 16*8
Area = 128
Now consider the white area. It has a "length" of 4 and a width of 8
L = 4
w = 8
Area = 32
Now subtract 32 from 128
Area of shaded part = 128 - 32
Answer: 96 mm^2
In the figure below, mR is 66°, and mT is 130°. Note: Figure is not drawn to scale. What is mQ? A. 24° B. 50° C. 64° D. 116°
Answer:
b
Step-by-step explanation:
i just think so correct me if im wrong
answer please i need help with this
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 2} \times {x}^{ - 4} \times {y}^{2} } [/tex]
plug in the values :
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 2} \times {3}^{ - 4} \times { - 1}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{3 {}^{ - 6} {}^{ } {}^{} } [/tex]
[tex]\qquad \sf \dashrightarrow \: {3}^{6} [/tex]
[tex]\qquad \sf \dashrightarrow \:729[/tex]
Therefore, B is the Correct choice ~
・ ．━━━━━━━†━━━━━━━━━．・
Answer:
729
Step-by-step explanation:
Given expression:
[tex]\sf \dfrac{1}{3^{-2}x^{-4}y^2}[/tex]
Apply exponent rule [tex]\sf \dfrac{1}{a^{-b}}=a^b[/tex]
[tex]\sf \implies \dfrac{3^2x^4}{y^2}[/tex]
[tex]\sf \implies \dfrac{9x^4}{y^2}[/tex]
Substituting x = 3 and y = -1:
[tex]\sf \implies \dfrac{9(3)^4}{(-1)^2}[/tex]
[tex]\sf \implies \dfrac{9 \cdot 81}1}[/tex]
[tex]\sf \implies 729[/tex]
3) A rectangular piece of land measures 780 m by 550 m.
Work out the area of the land in:
a square metres
b hectares.
Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going
on the field trip. A random sample of students is chosen. Surveying the random sample produced a representative
sample of the population. Which was most likely true of the representative sample?
The representative sample contained all 160 students.
O The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
O The representative sample contained an equal number of boys and girls.
Answer:
more girls than boys.
Step-by-step explanation:
because there is 95 girls compared to 65 boys, so whatever random numbers of both are pulled, girls will have the higher ratio.
a) What is the size of angle ABC?
b) Use your answer to part a) to work out the size of reflex angle CBD.
Give your answers to the nearest degree.
Answer:
a. 120 Degrees
b. 180-120=60 60 Degrees
Step-by-step explanation:
A straight line has a maximum of 180 degrees.
ABC is 120, so CBD is 60
a) The size of angle ABC is 120 degrees.
b) The size of reflex angle CBD is 240 degrees.
a) The size of angle ABC is 120 degrees by inspecting at the protractor and counting from 0° 1o 120°
Reflex angles are formed by extending one of the sides of an angle beyond the straight line, creating an angle greater than 180 degrees. They can be visualized as the "extra" portion of a rotation around a point, beyond the 180-degree mark
b) To determine the size of reflex angle CBD, consider that a reflex angle measures more than 180 degrees but less than 360 degrees. Since angle ABC is 120 degrees, subtract this angle from 360 to find the remaining measure of the reflex angle CBD.
Reflex angle CBD = 360 degrees - 120 degrees
= 240 degrees.
Therefore, the size of reflex angle CBD is 240 degrees.
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Can someone please help me with this
Definition of a trapezoid: a quadrilateral with one pair of parallel sides
Thus PQRS is a trapezium because Line PQ is parallel to line SR
Hope that helps!
4 pts
Find the perimeter of each polygon. Assume that lines which appear tangent
are tangent.
13.8
5.8
5.5
Answer:
25.1
Step-by-step explanation:
for perimeter you just add them all together
what are factors of the expression [tex]x^{2}[/tex]+x 20?
Answer:
Step-by-step explanation:
answer: (x-4)(x+5)
x^2 + x - 20
x^2 + 5x -4x -20
x^2 + 5x - 4x - 20
x(x+5) -4 (x+5)
x(x+5)-4(x+5)
(x-4)(x+5)
Sarah answered 70% of the trivia questions correctly. What fraction describes this percent? Enter your answer as a simplified fraction The fraction that describes this percent is
Answer:
7/10
Step-by-step explanation:
70 out of 100 as a fraction would be 70/100 but since they said simplify it becomes 7/10.
This cannot be made smaller, as 7 cannot be divided into 2 evenly.
Hope this helps!
what steps are used to solve this equation x/2=7 complete each statement
Answer:
x=14
Step-by-step explanation: Multiply all terms by the same value to remove denominators from fractions,Cancel the multiplied terms that are in the denominator, Multiplica los números
Identify the population and the sample. Lena wants to open a new restaurant in a mall and needs to determine what kind of food to serve to attract the most customers. Out of 1200 mall visitors, 200 are asked their food preference.
The total mall visitors is the population parameter of the experiment
The sample of the experiment is 200, while the population is 1200
How to identify the sample and the experiment?From the question, we have the following parameters:
Total mall visitors = 1200Visitors interviewed = 200The total mall visitors is the population while the visitors that were asked of their food preference are the sample
Hence, the sample of the experiment is 200, while the population is 1200
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Is √8 a rational number ?
Answer:
Hence, the square root of 8 is not a rational number. It is an irrational number.
Step-by-step explanation:
according to my math book.. thanks me later
Find only C please i don't need A or B
josh bought 8 items at wholesale price. he sold them all for $20 and made $10 profit. what was the wholesale price of each item?
Answer:
4items
Step-by-step explanation:
bought 8items
p=10%
10\20×8