brooks planning a dinner party. he plans to give a choice of three kinds of salad: potatoe salad, tossed salad, and pasta salad, there will be three choices of meat: ham, chicken, and turkey. the dessert selections are ice cream, cake, and pie. how many salad/meat/dessert combinations are there?
Write these numbers in standard notation. 3.05 x 10–3 8.92 x 106
(The subject is science)
Answer:
We have been given the two numbers:
[tex]3.05 \cdot 10^{-3}[/tex]
And [tex]8.92\cdot 10^{6}[/tex]
[tex]x^{-a}=\frac{1}{x^a}[/tex]
[tex]10^{-3}=\frac{1}{10^3}=\frac{1}{1000}[/tex]
So, [tex]3.05 \cdot 10^{-3}=\frac{3.05}{1000}[/tex]
[tex]\Rightarrow 0.00305[/tex]
And [tex]8.92\cdot 10^{6}=\frac{892}{100}\cdot {1000000}[/tex]
[tex]892\cdot 10000[/tex]
[tex]\Rightarrow 8920000[/tex]
[tex]3.05 \cdot 10^{-3}=0.00305[/tex]
[tex]8.92\cdot 10^{6}=8920000[/tex]
Identify and give all the appropriate names for three different quadrilaterals or other geometric figures in this Navajo eye-dazzler design.
Answer: I don’t know
Step-by-step explanation: I don’t know
What is the volume of a square pyramid with a base length of 5 cm and a height of 6 cm?
Enter your answer in the box.
cm³
Given is a square pyramid with a base length of 5 centimeters and a height of 6 centimeters.
The volume formula of square pyramid is given by :-
[tex] volume = \frac{1}{3} (base\; area)(height) [/tex]
Base area would be a square of side length equal to 5 centimeters.
Area of square = (side)² = 5 × 5 = 25 squared centimeters.
Now, volume of square pyramid = [tex] \frac{1}{3} (25)(6) [/tex] = 50 cubic centimeters.
So, final answer is 50 cubic centimeters.
Ms. Peterson wrote the expression below on the chalkboard for her class. She asked the students to write an equivalent expression using no more than one set of parentheses. 4(3x + 5y + 2z) + 3(x-z)
Tom wrote 12x + 20y + 8z
Jenna wrote 5(3x + 4y + z)
Chris wrote 15x + 20y − 5z
Which, if any, of the three students wrote an expression that is equivalent to Ms. Peterson’s expression?
5 gal × 20 mpg = ? how far can the driver travel with 5 gallons of gas
A square dartboard contains a red square and a blue square that overlap. A dart hits a random point on the board.
Express your probability as a decimal rounded to 2 decimal places.
Which graph shows the change in temperature of the water in the beaker y over time in minutes x?
The social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a student government activity. The teacher draws a random sample from the following groups:
All teachers in the school
All boys in each grade
All students in each grade
All students in the social studies club
Which group best represents the population he should take a random sample from to get the best results for his survey?
All teachers in the school
All boys in each grade
All students in each grade
All students in the social studies club
Answer:
All students in each grade.
Step-by-step explanation: This is the answer that givs the most variablity. Your welx if its correct :)
A cube has a surface area of 1,014 square meters. what is the length of one side.
The table shows numbers of books read by students in an English class over a summer and the students’ grades for the following semester.
a) Find the line of best fit. Write in the equation for the line of best fit.
b) Use your equation to predict the grade of a student who reads 15 books. Show all your work.
A square has side lengths of 2x inches. An equilateral triangle has side lengths of (2x+1/3) inches. If the square and the triangle have the same perimeter, what is the value of x?
Answer : The value of 'x' is [tex]\frac{1}{2}[/tex]
Step-by-step explanation :
As we know that,
The perimeter of square = 4a
The perimeter of equilateral triangle = 3s
('a' is the side square and 's' is the side of equilateral triangle)
Given:
Side of square = a = 2x
Side of equilateral triangle = s = (2x+1/3)
As per question, the square and the triangle have the same perimeter. That means,
Perimeter of square = Perimeter of equilateral triangle
4a = 3s
Now put the value of 'a' and 's', we get the value of 'x'.
[tex]4\times (2x)=3\times (2x+\frac{1}{3})[/tex]
[tex]8x=6x+1[/tex]
[tex]8x-6x=1[/tex]
[tex]2x=1[/tex]
[tex]x=\frac{1}{2}[/tex]
Therefore, the value of 'x' is [tex]\frac{1}{2}[/tex]
Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song. King Music sells a player for $23.00 and charges $2.00 per song. For how many songs will the cost be the same?
The total number of songs is 4 at which the total cost be the same and this can be determined by forming the linear equation in two variables.
Given :
Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song.King Music sells a player for $23.00 and charges $2.00 per song.Let the total number of songs be 'x' and the total cost be 'y'. Now, Adventure Play sells an mp3 player for $18.00 and charges $3.25 per song sp the total cost is given by:
y = 18 + 3.25x --- (1)
Also given that King Music sells a player for $23.00 and charges $2.00 per song so, the total cost is:
y = 23 + 2x --- (2)
Given the total cost will be the same, that is, equate equations (1) and (2).
23 + 2x = 18 + 3.25x
Simplify the above equation in order to determine the value of 'x'.
23 - 18 = 3.25x - 2x
5 = 1.25x
x = 4
So, the total number of songs is 4 at which the total cost be the same.
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If an object has two forces acting on it how can the net force equal 0
When two forces act on an object with opposite directions and equal magnitudes, the net force can be zero, leading to equilibrium. This state of equilibrium ensures no acceleration in any direction. Internal forces within a system always occur in opposite pairs, resulting in a net internal force of zero.
Net Force Must Be Zero: When an object has two forces acting on it, the net force can equal zero if the forces are equal in magnitude but opposite in direction, canceling each other out. This results in a balanced force system, leading to equilibrium.
Examples of Equilibrium: One example is a car moving at a constant speed on a highway due to balanced forces. In static equilibrium, both the net force and net torque on an object must be zero, showing no acceleration in any direction.
Internal Forces: Internal forces within a system always appear in equal and opposite pairs, resulting in a net internal force of zero within the system.
45 minus 4.5. Show work
Rewrite y + 3 = 0 using function notation.
A) f(x) = 3
B) f(x) = -3
C) f(x) + 3 = 0
D) f(x) = y + 3
Answer:
B) [tex]\displaystyle f(x) = -3[/tex]
Step-by-step explanation:
[tex]\displaystyle y ← f(x) \\ \\ y + 3 = 0; y = -3 \\ \\ f(x) = -3[/tex]
Azul performed an experiment to determine which crank powered radio works best. He cranked 15 randomly selected radios of each brand 30 times at the same speed and measured how long the radios played in minutes before running out of power. The result of the experiment is displayed in the box plot below.
75% of secure hike emergency radios are likely to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that Azul performed an experiment to determine which crank powered radio works best he crank 15 randomly selected radios of each branch 30 times at the same speed.
He measured how long the radio played in minutes before running out pal the results of the experiment are displayed in the box plot.
The sample results show that the crank powered radio of Branch A had a slightly higher average play time than the crank powered radio of Branch B, with a median play time of around 9 minutes and a range of 4-16 minutes.
75% of secure hike emergency radios are likely to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks.
Hence, 75% of secure hike emergency radios are likely to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks.
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Azul performed an experiment to determine which crank powered radio works best. He cranked 15 randomly selected radios of each brand 30 times at the same speed and measured how long the radios played in minutes before running out of power. The result of the experiment is displayed in the box plot below.
Secure hike emergency radio 4.0 21,22,24,25,25,25,25,26,27,29,30,30,30,30,33
Streamline radio 25,25,27,28,29,30,30,30,34,36,36,38,39,42
A. 50% of streamline crank radios are likely to play 30 minutes or longer after 30 cranks, while only 25% of secure hike emergency radios ARE LIKELY to play 30 minutes or longer after 30 cranks.
B. 75% of secure hike emergency radios ARE LIKELY to play 30 minutes or longer after 30 cranks, while only 50% of streamline crank radios ARE LIKELY to play 30 minutes or longer after 30 cranks.
C. 100%of x- streamline crank radios ARE LIKELY to play 30 minutes or longer after 30 cranks, while only 25% of secure hike radios ARE LIKELY to play 30 minutes or longer after 30 cranks.
what is the negative of -1/4
Juanita keeps 25% of the profit from her ice cream shop. If the shop makes $750 per month, how much money will Juanita keep?
Juanita keeps 25% of the profit from her ice cream shop.
The shop makes $750 per month.
We have to find how much money Juanita will keep.
By the given condition,
Juanita will keep 25% of $750 profit
Now 25% of $750 is 25 /100 * 750
= 18750/100
= $187.50
Therefore Juanita will keep $187.50 of her total profit of $750 per month.
Hope this helps..!!
Thank you :)
Use the diagram to help you solve the problem. Mark is a receptionist for Exclusive Auto Sales. His base salary is $21,000. He has a good year of customer service, so the company also gives him a 6 percent year-end bonus based on his salary. How much does Mark make, including his base salary and the year-end bonus?
Answer:
Step-by-step explanation:
Mark make $22,260 including his base salary and the year-end bonus.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Mark base salary = $21,000
And, He got 6% ear-end bonus based on his salary.
Now,
Find the including his base salary and the year-end bonus as;
Since, Mark base salary = $21,000
And, He got 6% ear-end bonus based on his salary.
So, The bonus = 6% of $21,000
= 6/100 x 21,000
= 1,260
Thus, Total salary = $21,000 + $1,260
= $22,260
Thus, Mark make $22,260 including his base salary and the year-end bonus.
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Each prize for a carnival booth costs $0.32. How many prizes can you buy with $96?
malia is at an amusement park she bought 14 tickets and each ride requires 2 tickets write an expression that gives a number of tickets malia has left in terms of x the number of rides she has already gone on find atlas one other expression that is equvalent to it
100 children attended a play on the trip 0.6 were girls. Which fraction represents the number of boys on the trip
The number of boys who attended the play is 40. Expressing this as a fraction of the total children (100), we get 40/100, which simplifies to 2/5. So, the fraction representing the number of boys on the trip is 2/5.
Explanation:The provided information suggests that 60% (or 0.6) of the children on the trip, which were 100, were girls. This means the percentage or portion of girls on the trip is 0.6*100 = 60 girls. Since we're looking for the number of boys, we have to subtract this figure from the total number of children.
So, 100 total children - 60 girls = 40 boys. To express this as a fraction of the total number of children, we get 40/100. This fraction, however, can be simplified to 2/5, which is the fraction that represents the number of boys on the trip.
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Eleven is decreased by twice a number. Represent this statement using an algebraic expression.
1. 11x-2
2. 2x+11
3. 11-2x
4. 2x-11
The required algebraic expression for the given statement is 11 - 2x. Option 3 is correct.
Given that,
Eleven is decreased by twice a number. To determine the correct option that shows the represents the statement using an algebraic expression.
The algebraic expression consists of constant and variable. eg x, y, z, etc.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the number be x,
Eleven is decreased by twice a number.
= 11 - 2x
Thus, the required algebraic expression for the given statement is 11 - 2x. Option 3 is correct.
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How many prices of pie will you have if 4 banana caramel cream pies are sliced into 1/8 servings?
A.12
B.18
C.24
D.32
Trevor rode his bicycle 25 miles in 2 hours. Assuming Trevor rode at a constant speed, how many miles did Trevor ride in one hour
When you write $1.35 what does the decimal point means
The function f(x)=12,419× represents the number of vistors to a website x years after it was launched. Each year , the number of visitors is _____ the number the year before
A. 4 time
B. 0.4 times
C. 1.4 times
D. 4 more than
Answer: c for apex
Step-by-step explanation:
Answer:c is correct
Step-by-step explanation:
Describe a cube.use the words faces,edges,and vertices in your description
Given: ABCD is a trapezoid,
AD = 10, BC = 8,
CK
- altitude
Area of ∆ACD = 30.
Find: Area of ABCD
Therefore, the area of trapezoid ABCD is 54 square units.
To find the area of trapezoid ABCD, we can use the properties of a trapezoid and the given information.
First, let's denote the unknown base of the trapezoid as BD = b. Since AD and BC are the other two bases, we have AD = 10 and BC = 8. The height of the trapezoid is the same as the altitude of triangle ACD, which is KC = h and is given to be such that the area of triangle ACD is 30.
The area of a triangle is given by the formula:
[tex]\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]
For triangle ACD, we have:
[tex]\[ 30 = \frac{1}{2} \times AD \times h \][/tex]
[tex]\[ 30 = \frac{1}{2} \times 10 \times h \][/tex]
[tex]\[ h = \frac{30 \times 2}{10} \][/tex]
[tex]\[ h = 6 \][/tex]
Now that we have the height of the trapezoid, we can calculate the area of the trapezoid using the formula:
[tex]\[ \text{Area} = \frac{1}{2} \times (\text{sum of parallel sides}) \times \text{height} \][/tex]
[tex]\[ \text{Area} = \frac{1}{2} \times (AD + BC) \times h \][/tex]
[tex]\[ \text{Area} = \frac{1}{2} \times (10 + 8) \times 6 \][/tex]
[tex]\[ \text{Area} = \frac{1}{2} \times 18 \times 6 \][/tex]
[tex]\[ \text{Area} = 9 \times 6 \][/tex]
[tex]\[ \text{Area} = 54 \][/tex]