Answer:
c(x)
Step-by-step explanation:
c(x) increases by 10 every time
a(x) is multiplied by 2
b(x) is multiplied by 4
An airplane flies 515.3 kilometers per hour.Traveling at a constant speed,how far does the airplane fly in 30 minutes?
Kira's pet turtle is 18 inches in length. Which of these is equal to 18 inches? A) 1 1/2 yards B) 1 1/2 feet C) 2 yards D) 2 feet
Answer:
B
Step-by-step explanation:
1) There are 12 inches in a foot.
2) 18 inches minus 12 inches = 6 inches.
3) You have you your 1 foot and 6 inches which is 1/2 a foot.
4) 1 1/2 feet
Answer:
IS B)1 1/2 IM DOING THE TEST NOW AN I HATE IT
Step-by-step explanation:
A pizza has 3,000 calories. If the pizza is cut into 8 slices, how many calories are in 3 slices of pizza?
Answer:
1125 calories
Step-by-step explanation:
3000 divided in 8 slices is 375 calories per piece.
3 pieces with 375 cals per 1125
Answer:
1125 calories
Step-by-step explanation:
Find how many calories are in one slice by dividing 3000 by 8:
3000/8
= 375
Find how many calories are in 3 slices by multiplying 375 by 3
375(3)
= 1125
So, in 3 slices of pizza, there are 1125 calories
what is 92% of 1050km?
Answer:
966
Step-by-step explanation:
92 x 1050
100
966
Answer:
966
Step-by-step explanation:
1050/x=100/92
(1050/x)*x=(100/92)*x - we multiply both sides of the equation by x
1050=1.0869565217391*x - we divide both sides of the equation by (1.0869565217391) to get x
1050/1.0869565217391=x
966=x
x=966
8/15 as a decimal rounded to the nearest hundreth
Answer:
0.53
Step-by-step explanation:
A fraction bar can also mean division. So 8/15 the fraction also means 8÷15.
8÷15 = 0.5333333...
Rounding to the nearest hundredth means there should be only two numbers to the right of the decimal point.
8/15 ~= 0.53
A successful lawyer ownsthree vintage cars. The ratio of car is value to 1's value is 3:4. The ratio of car 2's value tocar 3's is 8:5. d the total value of three cars is $1115900, fins the value of each car
Answer: Let's represent the value of car 1 as x. Then, the value of car 2 is 3/4 of x, and the value of car 3 is 4/5 of the value of car 2.
So, we can write the following equations:
x = (3/4) * y
y = (4/5) * z
Where y is the value of car 2, and z is the value of car 3.
Adding all the values, we have:
x + y + z = 1115900
We can substitute the values of y and z in terms of x:
x + (3/4) * x + (4/5) * (3/4) * x = 1115900
Simplifying the expression on the left side, we get:
7/4 * x = 1115900
Finally, dividing both sides by 7/4, we get:
x = 359900
So, the value of car 1 is $359900, the value of car 2 is (3/4) * x = (3/4) * 359900 = 269925, and the value of car 3 is (4/5) * (3/4) * x = (4/5) * (3/4) * 359900 = 213140.
Step-by-step explanation:
Answer: the value of car 1 is $467125, the value of car 2 is $623033.33, and the value of car 3 is $350937.5.
Step-by-step explanation:
Let's call the value of car 1 "x".
From the first ratio, we know that the value of car 2 is 4/3 times greater than the value of car 1, and the value of car 3 is 3/4 times greater than the value of car 1.
So, the value of car 2 is 4/3 * x, and the value of car 3 is 3/4 * x.
From the second ratio, we know that the value of car 2 is 8/5 times greater than the value of car 3.
So, the value of car 2 is 8/5 * (3/4 * x) = 6/5 * x.
The total value of all three cars is $1115900, so we can set up an equation to solve for x:
x + 4/3 * x + 3/4 * x = 1115900
Expanding and simplifying the right side:
x + 4/3 * x + 3/4 * x = 1115900
8/3 * x = 1115900
x = 1115900 * 3 / 8
x = 467125
So, the value of car 1 is $467125, the value of car 2 is $623033.33, and the value of car 3 is $350937.5.
a. The motor vehicle department in a particular state has license plates which contain six characters. Each of the first two characters can be any digit (0-9). Each of the next two characters can be any letter (A-Z). Each of the last two characters can be any letter (A-Z) or digit (0-9). How many different license plates can be printed?
Enter your answer as a whole number.
license plates
b. An automotive dealership offers a particular model of vehicle in 6 different exterior colors, 3 different interior colors and with 4 different option packages. In how many configurations can this vehicle be ordered?
Enter your answer as a whole number.
configurations
c. Jeffrey has jackets in 2 different colors, shirts in 3 different colors, trousers in 4 different colors and ties in 8 different colors/patterns. How many different outfits can Jeffrey make (assuming he doesn't care how well the clothing items will coordinate with each other)?
Enter your answer as a whole number.
a. There are a total of 676,000 different license plates that can be printed.
b.The vehicle can be ordered in 288 configurations.
c.Jeffrey can make 192 different outfits.
a. To find the number of different license plates that can be printed, we need to calculate the possibilities for each character position.
For the first two characters, each can be any digit from 0 to 9. So, there are 10 possibilities for each position.
For the next two characters, each can be any letter from A to Z. There are 26 letters in the English alphabet, so there are 26 possibilities for each position.
For the last two characters, each can be any letter from A to Z or any digit from 0 to 9. Since there are 26 letters and 10 digits, there are a total of 36 possibilities for each position.
To calculate the total number of different license plates, we multiply the number of possibilities for each position: 10 (for the first digit) * 10 (for the second digit) * 26 (for the third letter) * 26 (for the fourth letter) * 36 (for the fifth character) * 36 (for the sixth character) = 676,000.
b. To determine the number of configurations, we need to multiply the number of choices for each attribute.
For the exterior color, there are 6 options available.
For the interior color, there are 3 options available.
For the option packages, there are 4 options available.
By multiplying these choices together, we get:
6 (exterior colors) * 3 (interior colors) * 4 (option packages) = 72 configurations.
However, each of these configurations can also be ordered with or without an option package, so we need to double the number of configurations.
Therefore, the total number of configurations is:
72 configurations * 2 (with or without option package) = 144 configurations.
c. To calculate the total number of different outfits Jeffrey can make, we need to multiply the number of options for each item of clothing.
Jeffrey has 2 options for jackets, 3 options for shirts, 4 options for trousers, and 8 options for ties. To find the total number of outfits, we multiply these numbers together:
2 (jackets) * 3 (shirts) * 4 (trousers) * 8 (ties) = 192
This means that Jeffrey can make 192 different outfits by choosing any combination of colors/patterns for his jackets, shirts, trousers, and ties.
The multiplication principle, also known as the counting principle, is used to find the total number of outcomes when multiple choices are made independently. In this case, we are assuming that Jeffrey doesn't care about coordinating the different clothing items, so each item can be chosen freely from its available options.
It's important to note that this calculation assumes that Jeffrey will wear only one jacket, one shirt, one pair of trousers, and one tie at a time. If he were to wear multiple items of the same clothing type simultaneously, the number of outfits would be different.
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Simplify 8 x 2^6 x 2^4 give your answer as a power of 2
Carlos rode the elevator up 4 floors, then down 2 floors. He then rode down 5 more floors and got off on the first floor. Where was Carlos when he began his elevator ride?
Answer:
fourth floor
Step-by-step explanation:
Which set of ordered pairs (x, y) could represent a linear function
A = \{(1, - 2), (3, 1), (5, 4), (8, 7)\}
B = \{(- 6, 6), (- 3, 3), (0, 0), (3, - 4)\}
C = \{(- 2, 8), (- 1, 6), (0, 4), (2, 1)\}
D = \{(- 8, 6), (- 4, 3), (0, 0), (4, - 3)\}
{(- 8, 6), (- 4, 3), (0, 0), (4, - 3)}set of ordered pairs (x, y) could represent a linear function
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Linear function is a function whose graph is a straight line
Slope of a line tells us how steep the line is . Slope of a line is same at all the points.
For option A:
m=1+2/3-1=3/2
m=3/2
m=7-4/8-5=3/3=1
Slopes are not same
For option B:
m=3-6/-3+6=-3/3=-1
m=0-3/0+3=-1
m=-4/3
Slopes are not same
For option C:
m=6-8/-1+2=-2
m=4-6/1=-2
m=-3/2
Slopes are not same
For option D:
m=3-6/-4+8=-3/4
m=-3/4
m=-3/4
Slopes are same at every point, so this set of ordered pairs could represent a linear function
Hence, {(- 8, 6), (- 4, 3), (0, 0), (4, - 3)}set of ordered pairs (x, y) could represent a linear function
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construct a parallelogram abcd in which diagonal ac 3.8 diagonal bd= 4.6cm and the angle between ac and bd is 120°
Find the mean for the given information below.
Class
Frequency
20 - 39
1
40 - 59
2
60- 79
5
80- 99
20
100 - 119
2
Find the indicated measure. Round you answer to two decimals.
The mean for the given information is approximately 79.91. To find the mean for the given frequency distribution:
We need to calculate the weighted average of the class midpoints using the frequencies as weights. The formula for calculating the mean is:
Mean = (Σ (Class Midpoint × Frequency)) / Total Frequency
First, let's calculate the class midpoints by finding the average of each class interval:
Class Midpoint:
(20 + 39) / 2 = 29.5
(40 + 59) / 2 = 49.5
(60 + 79) / 2 = 69.5
(80 + 99) / 2 = 89.5
(100 + 119) / 2 = 109.5
Next, we multiply each class midpoint by its corresponding frequency:
(29.5 × 1) + (49.5 × 4) + (69.5 × 6) + (89.5 × 9) + (109.5 × 2) = 1,758
The total frequency is the sum of all the frequencies:
1 + 4 + 6 + 9 + 2 = 22
Finally, we divide the sum of the products by the total frequency to calculate the mean:
Mean = 1,758 / 22 = 79.91 (rounded to two decimal places)
Therefore, the mean for the given information is approximately 79.91.
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Ellie drove 416 miles on 18.7 gallons of gas. What was her gas mileage, rounded tothe nearest mpg?Your Answer:
Answer:
\(22\text{ mpg}\)Step-by-step explanation:
To determine what was her gas mileage, divide the total miles driven by the gallons of gas;
\(\frac{416}{18.7}=22\text{mpg}\)PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELP HELP HELP HELP HELP HELP ME ME ME ME ME ME ME ME ME ME ME !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
C
“The auditorium can hold a maximum of 150 people.”
Answer:
\(x \leq 150\)
Step-by-step explanation:
Given
The statement above
Required:
Translate & Solve
Represent the people in the auditorium with x
When we say maximum, we mean "less than or equal to"
So:
A maximum of 150 people means \(\leq 150\)
Since, the population is represented with x, the expression can then be properly written as:
\(x \leq 150\)
I'll always give away 5 stars, thanks and Brainliest to the answer that's correct!
Naruto has a baseball card that is worth $45. The value of the card is increasing at the rate of 1.5% per year. How much will the card be worth in 15 years?
A: $366.17
B: $56.26
C: $89.21
D: $263.97
Answer:
a I believe sorry if I'm wrong
Answer:
I think its B: $56.26
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Use equation, find the maximum height reached by the rocket, to the nearest 10th of a foot . Y=-16x^2+261x+130
Answer:
Maximum height of the rocket = 1194.39 feet.
Step-by-step explanation:
The equation that shows the height of the rocket, y in feet, is related to the time after launch, x in seconds is as follows :
\(y=-16x^2+261x+130\) ...(1)
We need to find the maximum height reached by rocket. For maximum height,
\(\dfrac{dy}{dx}=0\\\\\dfrac{d(-16x^2+261x+130)}{dx}=0\\\\-32x+261=0\\\\x=\dfrac{261}{32}\\\\x=8.15\ s\)
Put x = 8.15 s in equation (1).
\(y=-16(8.15)^2+261(8.15)+130\\\\y=1194.39\ \text{feet}\)
So, the maximum height of the rocket is 1194.39 feet.
Convert 6 hours into weeks. Round your answer to the nearest hundredth.
Answer:
6 Hours = 0.0357 Weeks
Rounding off o nearest hundredth we get
=> 0.36
All done!
A new truck cost $32,000. The truck's value
depreciates at a rate of 9% each year. How
much will the truck be worth after 5 years?
Answer: $17,600
Step-by-step explanation:
find the value of 9% of 32,000 (Divide). Multiply that by 100. multiply by 5. Subtract the product by 32,000
help please!!!
When using the SAS Similarity Theorem, the angle used must be the ___ angle.
Question 5 options:
complementary
corresponding
congruent
supplementary
opposite
right
included
Because a-cac activities tend to blow molten metal considerable distances, it is important to station a(n) in the a-cac work area.
Because A-CAC activities tend to blow molten metal considerable distances, it is important to station a Fire watch in the A-CAC work area.
What is A-CAC?The A-CAC method is primarily used to gouge weld grooves and prepare cracks for welding.
The ACAC technique employs compressed air jets to blast molten metal away.
When compared to shielded metal arc welding electrodes of the same size, the currents employed with ACAC electrodes are.
Hence, it is right to conclude that Because A-CAC activities tend to blow molten metal considerable distances, it is important to station a Fire watch in the A-CAC work area.
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Determine which lines, if any, are parallel. Choices may be repeated and some might not be used at all.
Answer:
a,c,b,d,5
Step-by-step explanation:
help im new and need help please the thing is 9.9 x 7 =__._ help please
Answer:
69.3 is the answer
{ Hello and welcome to Brainly :) i hope i helped }
Answer:
69.3
Step-by-step explanation:
Welcome to brainly, I hope you have a good time.
Write an algebraic expression to represents the verbal expression: the difference between the product of 4 and a number and the square of the number
Answer:
\(4n-n^2\)
Step-by-step explanation:
I use 'n' as the unknown value, but you can use any letter you want as the variable.
The product of four and a number would be represented by '4 * n'. The ideal way to write this would be '4n', even though '4 * n' is also correct in value.
The square of the number would be n². Squaring a number is multiplying a number by itself.
The phrase 'difference between...' means subtraction.
Putting it together:
"The difference between the product of 4 and a number and the square of the number" would be:
\(4n-n^2\)
Hope this helps.
please help me solve it
Answer:
2(a)=20t
Step-by-step explanation:
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what are the slope and y-intercept for the graph of y-3x=-1
Answer:
Step-by-step explanation:
Think of the equation y = mx + b
So the m is the slope and the b is the y-intercept
m/slope= 3 b/y-intercept= -1
Given: M is the midpoint of LN, N is the midpoint of MO Prove: LM=NO
1.
M is the midpoint of LN
N is the midpoint of MO
Reason: Given
2.
LM = MN
Reason:
M divides LN into equal parts
3.
MN = NO
Reason:
N divides MO into equal parts
4.
LM = MN = NO
Reason:
5.
Reason:
Maria's fish tank has 17 liters of water in it. She plans to add 6 liters per minute until the tank has more than 47 liters. What are the
possible numbers of minutes Maria could add water?
Use t for the number of minutes.
Write your answer as an inequality solved for t.
Answer:
t < 5
Step-by-step explanation:
47 > 6t + 17
30 > 6t
5 > t
t < 5
Standing at a trailhead, you look up at a 54° angle and see your friend's cell phone reflecting the sun. You know that she is at the top of the 1200-foot cliff and you call her to say you'll meet her at the bottom of the cliff. How many feet will you have to walk to meet? Round to the nearest tenth.
Answer:
871.9 feet,
Step-by-step explanation:
tan 54 = 1200/ x where x is the distance you have to walk.
x = 1200 / tan54
= 871.85
Determine the length of the line segment shown.
line segment from negative 3 comma 10 to 4 comma negative 1
13 units
12 units
7 units
3 units
The length of the line segment is (a) 13 units
How to determine the length of the line segment?The line segment is given as
line segment from negative 3 comma 10 to 4 comma negative 1
This can be rewritten as
line segment from (-3, 10) to (4, -1)
The length of the line segment is then calculated using the following distance formula
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where
(x, y) = (-3, 10) and (4, -1)
Substitute the known values in the above equation, so, we have the following representation
Length = √[(-3 - 4)² + (10 + 1)²]
Evaluate
Length = 13
Hence, the length is 13 units
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Answer: A: 13 units
Step-by-step explanation:
This can be rewritten as
line segment from (-3, 10) to (4, -1)
The length of the line segment is then calculated using the following distance formula
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where
(x, y) = (-3, 10) and (4, -1)
Substitute the known values in the above equation, so, we have the following representation
Length = √[(-3 - 4)² + (10 + 1)²]
Evaluate
Length = 13