The unit rate is 18 commercials per hour.
What is Division?A division is a process of splitting a specific amount into equal parts.
On Saturday morning, Wendy watched one and a half hours of her favorite shows on television.
During the shows there were 27 commercials.
We need to find the unit rate of commercials per hour.
To find this we have to divide 27 by number of hours
27/[tex]1\frac{1}{2}[/tex]
Convert [tex]1\frac{1}{2}[/tex] to improper fraction
27/(3/2)
When whole number is divided by fraction, the denominator is multiplied with whole number
27×2/3
54/3
18
Hence, the unit rate is 18 commercials per hour.
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Answer:18 commercials per hour
Step-by-step explanation:
What is the lateral surface area, in square inches, of the figure formed by the net?
Answer:
71 in²
Step-by-step explanation:
surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)
= 24+20+27 = 71 in²
answer fast and correct pls
Answer:
A
Step-by-step explanation:
A group of 30 people, 12 females and 18 males, are electing 5 representatives.
a. How many ways can the 5 representatives be chosen from the group?
b. How many ways can the 5 representatives be 2 males and 3 females?
c. What is the probability that the representatives end up being 2 males and 3 females if they are randomly selected? Enter your answer as a decimal rounded to the nearest thousandth. (3 decimal places).
Answer:
Total number = 30Number of females = 12Number of males = 18a) Combination of 5 out of 30:
30C5 = 30!/[5!*(30 - 5)!] = 142506b) Combination of 2 males:
18C2 = 18!/[2!*(18 - 2)!] = 153Combination of 3 females:
12C3 = 12!/[3!*(12 - 3)!] = 220The number of ways with 2 males and 3 females:
153*220 = 33660c) Required probability is:
P(2 males and 3 females) = 33660 / 142506 = 0.236Peter is building a ramp at his home. He wants to build it 11 inches high with aa 60 inch base. How long will the ramp be that Peter is building? Round to the 10ths if needed.
Explanation:
You have a right triangle with legs of 11 and 60. The hypotenuse is unknown.
Use the pythagorean theorem to find the hypotenuse.
[tex]a^2 + b^2 = c^2\\\\11^2 + 60^2 = c^2\\\\121 + 3600 = c^2\\\\3721 = c^2\\\\c^2 = 3721\\\\c = \sqrt{3721}\\\\c = 61\\\\[/tex]
The ramp is exactly 61 inches long.
I need help with this ASAP
Given:
Radius of the circle = 6 inches
Central angle = 75 degrees.
To find:
The length of subtended arc, i.e., x.
Solution:
The formula for arc length is:
[tex]s=2\pi r\times \dfrac{\theta}{360^\circ}[/tex]
Where, r is the radius and [tex]\theta [/tex] is the central angle.
Putting [tex]s=x, r=6, \pi=3.14, \theta =75^\circ[/tex] in the above formula, we get
[tex]x=2(3.14)(6)\times \dfrac{75^\circ}{360^\circ}[/tex]
[tex]x=2(3.14)(6)\times \dfrac{5}{24}[/tex]
[tex]x=7.85[/tex]
[tex]x\approx 7.9[/tex]
Therefore, the value of x is 7.9 inches.
Answer:Radius of the circle = 6 inchesCentral angle = 75 degrees.
Step-by-step explanation:
Ben has 50 toys. 15 of them are new and 9 are his favorites; 2 are new and favorites.
Ben is giving away all the toys that are neither new nor favorites. How many toys
does Ben give away?
Answer:
28 toys
Step-by-step explanation:
Ben has 50 toys, of which 15 are new, 9 are favorites, and 2 are new and favorites. You want to know the number that are neither new nor favorite.
GroupingsThe number of new toys includes (new and favorite) and (new and not favorite). That is ...
15 = 2 + new and not favorite
So ...
new and not favorite = 15 -2 = 13
Likewise, the number of favorite toys includes (new and favorite) and (not new and favorite). That is ...
9 = 2 + not new and favorite
not new and favorite = 9 -2 = 7
Donated
The total of 50 toys includes ...
total = (new and favorite) + (new and not favorite) + (not new and favorite) + (not new and not favorite)
50 = 2 + 13 + 7 + (not new and not favorite)
Then the number of (not new and not favorite) is ...
not new and not favorite = 50 -2 -13 -7 = 28
These are the toys that Ben gives away.
Ben gives away 28 toys.
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Find the area of a regular hexagon with a side length of 10 cm
60 is my resultados of area
Answer
[tex]54 \sqrt{3} [/tex]
Step-by-step explanation:
Each interior angle is 120°for an hexagon.... Bisecting each will give an angle of 60° and thus dividing the hexagon into 6 equilateral triangles as the Bisecting lines meet at the centre of the hexagon. So find area of each equilateral triangle and multiply by 6
Area=
[tex] \frac{1}{2} b \times h \times 6 \\ = 3bh \\ = 3 \times 6 \times 3 \sqrt{3} [/tex]
[tex] = 54 \sqrt{3 } cm ^{2} [/tex]
please help me this would make my day ^^
Ray YW bisects ∠XYZ such that m∠XYW = (3x−7)° and m∠WYZ=(2x+1)°.
Find the value of x.
help me pls i ghave the first bit odne
Answer:
1 = 24 degrees
2 = 156 degrees
Step-by-step explanation:
Solve the equation for x:
x - 15 +4x = 180
5x = 195
x = 39
so 1 = (39-15) = 24 degrees
so 2 = (4x39) = 156 degrees
Jocelyn has a collection of 100 coins. How many coins represent 25% of her collection?
25 coins represent 25 percent of Jocelyn's collection.
What is the percentage?A percentage is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals. The symbol "%" is frequently written after the number to indicate percentages.
given, Jocelyn has a collection of 100 coins.
100% of her collection represents = 100 coins
1 % of her collection represents = 100/100 coins
1% of her collection represents = 1 coin
thus,
25% of her collection represents = 1*25 coins
25% of her collection represents = 25 coins
therefore, 25 percent of the collection of Jocelyn represents 25 coins.
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Let f(x) = x ^ 3 - x ^ 2 - 5x - 3 and g(x) = x + 3 3. Find (f/g)(x) . a .) x ^ 2 - 4x + 7R - 24
b .) x ^ 2 - 4x + 7
C.) x ^ 2 - 4x - 7R - 24
d.) x ^ 2 - 4x + 7x
Answer:
[tex](\frac{f}{g})(x) = \frac{\left(x+1\right)^2\left(x-3\right)}{x + 3}[/tex]
Step-by-step explanation:
The question is not properly formatted.
Given
[tex]f(x) = x^3 - x^2 - 5x - 3[/tex]
[tex]g(x) =x + 3[/tex]
Required
[tex](\frac{f}{g})(x)[/tex]
This is calculated as:
[tex](\frac{f}{g})(x) = \frac{f(x)}{g(x)}[/tex]
So, we have:
[tex](\frac{f}{g})(x) = \frac{x^3 - x^2 - 5x - 3}{x + 3}[/tex]
Factorize the numerator: using a calculator
[tex](\frac{f}{g})(x) = \frac{\left(x+1\right)^2\left(x-3\right)}{x + 3}[/tex]
Does the equation y = 5(2.3)* model exponential growth, exponential decay or neither?
Answer:
It models exponential growth
Step-by-step explanation:
Use the formula f(x)=a(1+r)^x where r is the growth rate, a is the principal value, and x is the length of time.
Since r would be equal to 2.3-1=1.3, this means a growth rate of 130%, which means the model models exponential growth since r>1.
Solve for p if L = 2 1/2 ft and W = 3 2/5 ft. P = 2L + 2W
Answer:
P = 59/5
Step-by-step explanation:
5 pizzas cost £35.00. How much do 3 pizzas cost?
Answer:£21.00
Step-by-step explanation:
One pizza: (£35/5) =£7
Three pizza's: (£7x3)=£21
The prism below is made of cubes which measure 1/3 of an inch on one side what is the volume
Answer:
Volume of rectangular prism = 10/9 inch³
Step-by-step explanation:
Given:
Size of each cube = 1/3 inch
Find:
Volume of rectangular prism
Computation:
Length of rectangular prism = 2 x [1/3]
Length of rectangular prism = 2/3 inch
Width of rectangular prism = 3 x [1/3]
Width of rectangular prism = 3/3
Width of rectangular prism = 1 inch
Height of rectangular prism = 5 x [1/3]
Height of rectangular prism = 5/3 inch
Volume of rectangular prism = Length x Width X Height
Volume of rectangular prism = [2/3] x [1] x [5/3]
Volume of rectangular prism = 10/9 inch³
Show your work please help
The error in the work lies in line 3 where the square root is calculated inaccurately.
What is square root of a number?The opposite of squaring an integer is finding its square root. The square root of a number can be found by looking for a number that, when squared, yields the original value.
The error is in line 3, line 4 and line 5.
The error in line 3 is inaccurate calculation of the value of square root of 4.
The error in line 4 is a mathematical calculation error.
The error in line 5 is a mathematical calculation error.
The correct answer in Line 3 is:
[tex]6 * 2 *\sqrt{5} -3\sqrt{5}[/tex]
The correct answer in Line 4 is:
[tex]12\sqrt{5} - 3\sqrt{5}[/tex]
The correct answer in Line 5 is:
[tex]9\sqrt{5}[/tex]
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Two numbers are in the ratio 5 : 7. If they differ by 18 then, find the numbers.
Answer:
45 and 63
Step-by-step explanation:
7x-5x=18
2x=18
2 2
x=9
7(9)=63
5(9)=45
15 x 109 is how many times greater than 5 x 103?
Enter the answer using scientific notation
The number of times 5×10³ greater than 15×10⁹ is 3×10⁶.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.
Given that, 15×10⁹ and 5×10³.
Number of times 5×10³ greater than 15×10⁹ is
Now, 15×10⁹/5×10³
= 3×10⁶
Therefore, 3×10⁶ times 5×10³ greater than 15×10⁹.
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Graph the quadratic function f(x)= -2x^2-3x+2
Answer:
it would be the graph with the maximum (opening down) in the first photo with the top on the left side of the y axis
Please help with this math problem if You don’t give me a file link I will mark you brainlist!!
WXYZ is dilated by a scale factor of 3. The length of W'X'Y'Z' is ____
units, and the width is____
units.
Answer:
18, 12
Step-by-step explanation:
Assuming this is follow-up from the previous question you asked? If not, I apologize for misunderstanding.
Dilation factor by 3 is bigger than 1 = Expansion
Originally 6, 4
6*3 = 18
4*3 = 12
Answer:
18,12
Step-by-step explanation:
W (1, -2), X (7,-2), Y (7,-6), and Z (1, -6).
To dilate the shape, multiply it's coordinates by the scale factor.
W'(3,-6), X'(21,-6), Y'(21,-18), Z(3, -18)
The distance formula: [tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
plug W'(3,-6) and X'(21,-6) in to get the length
[tex]\sqrt{(3-21)^2+(-6-(-6))^2}=\sqrt{(-18)^2 +0^2}=\sqrt{324} =18[/tex]
plug X(21,-6) and Y(21,-18) to get the width
[tex]\sqrt{(7-7)^2+(-2-(-6))^2}=\sqrt{0^2 +4^2}=\sqrt{16} =4[/tex]
[tex]\sqrt{(21-21)^2+(-6-(-18))^2}=\sqrt{0^2 +12^2}=\sqrt{144} =12[/tex]
Raj was getting a 5% commission, but now he's getting 6.5%. How much more money will he make on $24,000 of sales than on his old commission?
If Raj was getting a 5% commission, he would make 24000 * 5% = $<<240005.01=1200>>1200 on $24,000 of sales.
If he is now getting a 6.5% commission, he will make 24000 * 6.5% = $<<240006.5.01=1560>>1560 on $24,000 of sales.
Thus, Raj will make 1560 - 1200 = $<<1560-1200=360>>360 more on $24,000 of sales with his new commission rate of 6.5% than he did with his old commission rate of 5%.
Find the missing side round to nearest 10th
Answer:
x = 73.3
y = 46.2
Step-by-step explanation:
Reference angle (θ) = 39°
Adjacent = 57
Hypotenuse = x
Opposite = y
Recall: SOHCAHTOA
✔️To find x, apply CAH:
Cos θ = Adjacent/Hypotenuse
Plug in the values
Cos 39° = 57/x
x × Cos 39° = 57
x = 57/Cos 39°
x = 73.3 (nearest tenth)
✔️To find x, apply TOA:
Tan θ = Opposite/Adjacent
Plug in the values
Tan 39° = y/57
57 × Tan 39° = y
y = 46.2 (nearest tenth)
I need help with this question ASAP please.
[tex]arc \ length = 2\pi r \frac{\theta}{360} = \\\\[/tex][tex]2 \pi *9 * \frac{135}{360} =21.205[/tex]
[tex]\frac{3\pi }{4} =\frac{3*180}{4}=135[/tex]
Find the surface area of the cylinder.
13 m
20 m
Answer:
2695.49 m
Step-by-step explanation:
A = 2πrh + 2πr2
2 · π · 13 · 20 + 2 · π · 132
2695.4865
find the volume of the figure of each figure
Answer
1/2
Step-by-step explanation:
b) 6q + 4-q + 5 simplify
Answer:
5q + 9
Hope that helps! :)
-Aphrodite
Step-by-step explanation:
1. Convert the following improper fractions to mixed numbers; a. 55
2
b. 43 3
2. Convert the following mixed numbers to improper fractions; a. 72
5
b. 121 2
[1]
[1]
[1]
7½
7×2+1/2
14+1/2
15/2
212½
12×2+1/2
24+1/2
25/2
A doctor gives 10 patients Drug A and 10 patients Drug B and records the differences. Is this an observation, survey, experiment, or simulation?
The given drug experiment is an example of observation.
What are the types of statistical studies worksheet?There are three major types of statistical studies :
observational studiessurveysexperiments.Given is that a doctor gives 10 patients Drug A and 10 patients Drug B and records the differences.
Giving 10 patients Drug A and 10 patients Drug B and then recording the differences is an example of observation.
Therefore, the given drug experiment is an example of observation.
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Latoya's Coffee Shop makes a blend that is a mixture of coffee types A and B. In one bag of the blend, there are 6 kilograms of type A. Four bags of the blend are a total of 36 kilograms. How many kilograms of type B are there in one bag?
The Kilograms of type B that are in one bag of the Latoya's Coffee shop blend would be = 3kg
What is a mixture?A mixture is defined as the combination of two or more components which can or cannot be separated by ordinary methods.
The coffee blend of LaToya shop = Type A and B
A bag of the coffee blend = 6kg of Type A.
4 bags of coffee blend = 36kg
Therefore 4 bags of coffee blend contains = 6 see×4 = 24 kg of Type A
Type B in each bag = 36 - 24 = 12/4 = 3kg.
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whitch lines are perpendicular??
Answer:
A
Step-by-step explanation:
multiple lines meeting at 90 degrees. hope this helped