The answers are as follows -
(a) f(x) = 0.15 + 0.89x
(b) $ 10.83.
(c) 7 donuts
(a) Firstly, forming the function using given information. Let x be the number of donuts. Adding the one-time fee and cost per donut.
f(x) = 0.15 + 0.89x
(b) As per the known fact, 1 dozen = 12 quantities. Hence, there will be 12 donuts. Keeping the values in formula to find the price of box.
f(12) = 0.15 + 0.89 × 12
f(12) = 0.15 + 10.68
f(12) = 10.83
Thus, the price of box containing one dozen donuts is 10.83.
(c) Now, finding the value of x as per given cost.
6.38 = 0.15 + 0.89x
0.89x = 6.38 - 0.15
0.89x = 6.23
x = 6.23 ÷ 0.89
x = 7
Thus, a box costing $6.38 will contain 7 donuts.
Hence, (a) f(x) = 0.15 + 0.89x, (b) $ 10.83 and (c) 7 donuts.
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Sabrina is making a box in the shape of a cube with a side length of s. the volume of the box, s cubed, is 27/1,000 ft cubed. sabrina wants to completely cover two of the faces with labels.
Length of the side of cube is ( 3/10 ) ft and the area of two sides of cubical box that sabrina will cover is ( 9/50 ) sq ft .
Length of the side of cube = s
The given volume of cubical box = ( 27/1000 ) ft cubed equation 1
Volume of Cubical box = [tex](length of cube side)^{3}[/tex]
Volume of Cubical box = [tex]s^{3}[/tex] equation 2
On comparing equation 1 and equation 2 , we get
[tex]s^{3}[/tex] = ( 27 / 1000 )
s = ( 3 / 10 ) = 0.3 ft
Sabrina wants to completely cover two of the faces with labels, So we need to calculate the area of two sides of cubical box.
The area of two sides of cubical box = 2 [tex]s^{2}[/tex]
The area of two sides of cubical box = 2 ( 3/10 )² = ( 9 / 50 ) sq ft
Length of the side of cube is ( 3/10 ) ft and the area of two sides of cubical box that sabrina will cover is ( 9/50 ) sq ft .
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Tong draws 5 cards from a deck of 52 cards (which has 13 spades) without replacement. what is the probability of getting at most 2 spades?
As per the question, without replacement draw 5 cards from a deck of 52 playing cards. The probability to draw 5 cards can be written as:
[tex]P(getting2 spades) = \frac{P(E)}{n(E)} = \frac{13X12}{52X51} =\frac{1}{17}[/tex]
Therefore, the probability of getting at most two spades is [tex]\frac{1}{17}[/tex].
What is probability?
Probability is the method to measure the occurred events or the occurrence of the events. It is also used to analyze the outcomes of random events. To calculate the probability of a playing card which is [tex]52[/tex] in numbers. And it is divided into fours cards and each are in the count of [tex]13[/tex].These fours cards are heart, spades, diamond and club.
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Find The Domain Find the Value
1a) The domain is a set of all real numbers not equal to 5
1b) The domain is a set of all real numbers not equal to 4
What is the domain of the function?
Domain of a function is the set of all possible input values that make the function defined.
1a) We are given the function;
C(x) = -3²/(x - 5)
The domain will be a set of values that makes the denominator not equal to zero. Thus;
The domain is a set of all real numbers not equal to 5
1b) The function is; R(x) = 4x/(3x - 12)
The domain will be a set of values that makes the denominator not equal to zero. Thus;
The domain is a set of all real numbers not equal to 4
2a) Function is;
f(x) = (x + 8)/(2x - 1)
f(2) = (2 + 8)/(2(2) - 1)
f(2) = 10/3
f(0) = (0 + 8)/(2(0) - 1)
f(0) = -8
f(-1/2) = (-1/2 + 8)/(2(-1/2) - 1)
f(-1/2) = -15/4
2b) Function is;
r(t) = (t² + 8)/(t³ - 25t)
r(3) = (3² + 8)/(3³ - 25(3)) = -17/48
r(2) = (2² + 8)/(2³ - 25(2)) = -12/42 = -2/7
r(-1) = ((-1)² + 8)/((-1)³ - 25(-1)) = 9/24 = 3/8
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1 3 Given the resting heartrates below, determine the best measure of variability and calculate it. Heartbeats 48 55 60 61 62 63 64 65 66 66 68 70 70 71 71 72 74 74 75 76 77 77 78 79 81 86
The best measure to determine the variability is mean which is equal to 69.48
We are given the data:
48, 55, 60, 61, 62, 63, 64, 65, 66, 66, 68, 70, 70, 71, 71, 72, 74, 74, 75, 76, 77, 77, 78, 79, 81 and 86
The best measure to determine the variability is mean.
Total number of observations = 26
Sum of observations (S) will be:
S = 48 + 55 + 60 + 61 + 62 + 63 + 64 + 65 + 66 + 66 + 68 + 70 + 70 + 71 + 71 + 72 + 74 + 74 + 75 + 76 + 77 + 77 + 78 + 79 + 81 + 86
S = 1809
Mean = Sum / total
Mean = 1809 / 26
Mean = 69.58
Therefore, the best measure to determine the variability is mean which is equal to 69.48
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Translate this sentence into an equation.
48 is the difference of Vidya's height and 19.
Use the variable v to represent Vidya's height.
The answer for the given question is 67.
An equation is a mathematical statement made up of two expressions connected by an equal sign. 2x - 4 = 16 is an example of an equation. We get the value of the variable x as x = 10 after solving this equation.
Coefficients, variables, operators, and constants are all components of an equation.
An equation is formed by joining two expressions with an equal sign ("=").. The two expressions on either side of the equals sign are referred to as the equation's "left-hand side" and "right-hand side" The right-hand side of an equation is usually assumed to be zero. This will not reduce generality because we can balance it by subtracting the right-hand side expression from the expressions on both sides.
Let x be Vidya's height.
The equation will be determined by the given conditions:
x – 19 = 48
move the variable to the equation's left side:
x = 48 + 19
x = 67
Hence, the correct value for the given question is 67
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3. In Mrs. Middleton's math class, there are 7 more boys than girls. If there are 29 total students in the class, how many boys are there?
Convert the word problem into an equation as follows:
Let's use the variable 'x' for girls and 'x+7' for boys.
x + x + 7 = 29
Combine like terms
2x + 7 = 29
Subtract 7 from both sides
2x = 22
Divide 2 into 22 to get x
x=11 girls
x+7 = 18 Boys
your cousin has $156.34 in his bank-
account. He withdraws $15.50 one day
and B 6.75 the next day how much
money is in his bank accout now ?
Answer:
$134.09
Step-by-step explanation:
you take 156.34 and minus 15.50, then you take that and minus it by 6.75
Answer $134.09
why 156.34 - 15.50+6.75=134.09
please help will give brainlist
Mike walked 5 blocks in 15 minutes.how many minutes did it take for him to walk one block?
Solve for c.
a(c- b) = d
a. c = ab-d/a
b. c = d+ab/a
c. c = d-ab/b
d. c = d-ab/a
Answer:
a(c-b)=d
we open the bracket i.e expand it
ac-ab=d
make c the subject formula to get your answer
ac=d+ab
c=d+ab/a
Venus has switches at the top and bottom of her stairs to control the light for the stairwell. She notices that when the upstairs switch is up and the downstairs switch is down, the light is turned on.
c. If the upstairs switch is in the down position and the downstairs switch is in the up position, will the light be on?
If the upstairs switch is in the down position and the downstairs switch is in the up position, the light will be off
How to determine if the light will be on?The given parameters are
Switches = 2 i.e. top and bottom
Also, we have:
When the upstairs switch is up and the downstairs switch is down, the light is turned on.
This means that the light is only on when the upstairs switch is up and the downstairs switch is down
Any other position of the switches, the light is off
From the question, we have
Upstairs switch is in the down position and the downstairs switch is in the up position
This is different from the required position to on the light
Hence, the light will be off
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I don’t know what to do
Answer:
8 - positive
9- no correlation
10- negative
11- positive
12- No correlation
13- negative
14- no correlation
15- no correlation
Step-by-step explanation:
8- Positive because the more hours a person has driven, the more number of miles he/she drives increases.
9- the number of siblings a student has should not affect the grade they have in math class
10- negative because as a car gets older, the value decreases
11- positive because the longer a cd is out the more sales they get
12- In a logical sense, it could be positive, because someone who dropped out of highschool will get paid less than someone who went to school for 18 years and graduated with a hs diploma. it can also mean no correlation. therefore I think it is positive.
13- negative because the more songs someone downloads, the more the ipods space decreases
14- no correlation, the amount of computers in your house does not change how much you message your friends
15- no correlation, your house can be 3 years old and have 5 people living in it
The formula for simple interest is i = prt, where i is the interest earned,p is the principal, r is the interest rate and t is the number of years. solve the formula for p in terms of r, i and y.
The principal in terms of Simple Interest, Time, and Rate can be expressed as p=(i×100)/(r×t).
Whenever a loan is given to a person it is given for some specific amount of time at a specific rate of interest which is to be paid along with the principal amount. Simple Interest is the method of calculating the interest amount on a loan given for a specific period.
It involves the multiplication of the principal amount, rate of interest, and the time for which the loan is given divided by 100.
Here Simple interest is denoted by i, time in years is denoted by t, the principal is denoted by p, and the rate of interest is denoted by r.
The formula of simple Interest is given by:
Simple interest = (Principal×Rate×Time)/100
i=(p×r×t)/100
Now principal can be denoted as:
p=(i×100)/(r×t)
Thus, the Principal in terms of Simple Interest, Time, and Rate can be expressed as p=(i×100)/(r×t).
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What is the sum?I need help right now!!!
Answer:
12
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
BODMAS
start with solving 2^2 which is similar to 2×2 you get 4
2^2=4
4+3 =7
The weight of a school bus is about 10,000 kg, or 1 x 104 kg.
The weight of a small car is about 1000 kg, or 1 x 103 kg.
The school bus is about how many times heavier than the small car?
O A. 2 times
B. 1.1 times
C. 1 x 10 times
• D. 1 x 10-1 times
Answer: 10 times more heavier.
the probability that a carton of eggs taken from the cooler at a store will have at least one cracked egg is 2.5%.2.5%. what are the odds that a carton of eggs will have at least one cracked egg?
The odds that a carton of eggs will have at least one cracked egg is 97.5 %
The question has to do with probability
What is probability?Probability is the likelihood for an event to occur. It is given by P(event) = number of required outcomes/total number of possible outcomes.
How to find the odds that a carton of eggs will have at least one cracked egg?Given that the probability that a carton of eggs taken from the cooler at a store will have at least one cracked egg is 2.5%. Let the probability of at least one cracked egg be P(egg ≤ 1) = 2.5% = 0.025
Now, since we require the probability of that a carton of eggs will have at least one cracked egg, that is the number of cracked is greater than 1.
Let the probability of cracked eggs greater than 1 be P(egg ≥ 1).
From the law of probability
P(egg ≤ 1) + P(egg ≥ 1) = 1
So, P(egg ≥ 1) = 1 - P(egg ≤ 1)
P(egg ≥ 1) = 1 - 0.025
P(egg ≥ 1) = 0.975
P(egg ≥ 1) = 0.975 × 100 %
P(egg ≥ 1) = 97.5 %
So, the odds that a carton of eggs will have at least one cracked egg is 97.5 %
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a board measures 212 inches. how many feet is this? [ ? ] ft. give your rounded answer with one decimal place.
The board measures 212 inches which is equal to 17.7 feet.
Measurement:
Measurement is used to identify the quantity of the object.
Each object has its own measurements, like solid objects are measured using grams and the liquid one are measured using liters, etc.
For example,
We can buy the vegetables in grams because they are solid objects.
Instead, we have buy the milk in liters because they are liquid.
Given,
A board measures 212 inches.
Here we need to convert this into feet.
We know that,
1 inch = 0.0833333 feet.
So, 212 inches is equal to,
=> 212 x 0.0833333
=> 17.6667 feet.
Here we have to round the answer with one decimal place.
So, that is,
=> 17.7 feet.
Therefore, the board measurement in feet is 17.7 feet.
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jaylon created this stained glass window the upper two coners are quater ciecleseach with a radius of 4 inches. find the area of the window
The area of the window is 305.12 square inches.
How to find the area of the window?given that
jaylon created this stained glass window the upper two coners are quater ciecleseach with a radius of 4 inches.
The window's area is equal to the sum of the areas of a rectangle, two quarter circles, and the smaller square between the two upper corners.
The quantity of space occupied by a flat surface with a specific shape is referred to as the area.
now, find the area of rectangle
A = length x breadth
A = 12 x (26-4)
A = 12 x 22
A = 264 square inches
find the area of the two quarter circle
[tex] A= 2( \frac{1}{4} (3.14) \times {4}^{2} ) \\ A = 25.12 {in}^{2} [/tex]
Find the area of the smaller square between the two upper corners
A = (12-8) (4)
A = 4 x 4
A = 16 sq.in
now, find the total area
A = 264 + 25.12 + 16
A = 305.12 square inches
Hence, the area of the window is 305.12 square inches.
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Find the value of n
(3√2)2=2n
Answer:
3√2
Step-by-step explanation:
divide both sides by 2
3√2 = n
Answer:
n = 9
Step-by-step explanation:
note that ([tex]\sqrt{a}[/tex] )² = a , then
(3[tex]\sqrt{2}[/tex] )² = 2n
3 × 3 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2n
9 × 2 = 2n
18 = 2n ( divide both sides by 2 )
9 = n
8 + 3 (-s + 2 ) -5s - 1 - 4s
Answer:
13 - 12s
Step-by-step explanation:
= 8 - 3s + 6 - 5s - 1 - 4s
= 13 - 12s
Answer:
8+3=11
(-s + 2) - 5s - 1 - 4s = -10s + 1
Solve. 4n - 6 (n + 1) > 12 (first blank is the inequality sign, second blank is the value) n
The solution to the inequality is: n < -9.
How to Solve an Inequality?Given the inequality statement, 4n - 6 (n + 1) > 12, to solve for the value of n, we would isolate the n to one side of the inequality as shown below:
4n - 6 (n + 1) > 12
Distribute
4n - 6n - 6 > 12
Combine like terms
-2n - 6 > 12
-2n - 6 + 6 > 12 + 6
-2n > 18
Divide both sides by -2
-2n/-2 < 18/-2
n < -9
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Describe the approximate shape of a distribution using the terms approximately
symmetric
bell shaped
screwed Left
screwed right
uniform
bimodal
The type of distributions represented by the given graphs in the question are as follows;
(a) Symmetric
(b) Bimodal
(c) Skewed right
(d) Uniform
(e) Skewed right
What are the types of distributions represented the graphs?The definition and descriptions of the given terms are;
Approximately; The term is used to describe the state of things which is close to an actual thing or situation.
Symmetric; A distribution is symmetric when the area of the side on the left and on the right of the mean are equal and balance each other.
The distribution represented by the first figure, (a), can be described as a symmetric distributionBell shaped; A distribution that has a bell shaped graph, which usually represents a normal distribution, can be described as a bell shaped distribution.
The graph in option (a) can be described as a bell shaped distributionSkewed left; The graph of a distribution is skewed left if it has a tail (smaller values) on the left of the graph
Skewed right; The graph of a distribution is skewed right if the tail is on the right of the graph.
The distributions represented by the graphs in (c) and (e) are right skewedUniform; A distribution is uniform if the shape of the graph is approximately rectangular.
The distribution in graph (d) is a uniform distributionBimodal; A distribution that has two peaks is said to be a bimodal distribution.
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What steps should be taken to complete the conversion?
8mi/1 × 1.61k/1mi × 1000m/1k
Answer:
c
Step-by-step explanation:
Determine whether the conclusion is based on inductive or deductive reasoning.A person must have a membership to work out at a gym. Jesse is working out at a gym. Jesse has a membership to the gym.
The fact that Jesse is working out at a gym mean that Jesse has a membership to the gym. Therefore, this is a deductive reasoning.
What is a deductive reasoning?It should be noted that the deductive reasoning is when one arrives at conclusion based on the information that was given earlier.
Based on the information given, it should be noted that one can only work out at the gym if the person has a membership. An individual without a membership will be unable to work out.
In this case, the fact that Jesse is working out at a gym mean that Jesse has a membership to the gym. Therefore, this is a deductive reasoning.
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If the average of x and y is 11 and the average of x, and y z is 5 what is the value of z
If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7
Given,
The average of x and y = 11
We know average = Sum of the terms / Number of terms
Then, the equation will become
[tex]\frac{x+y}{2}=11[/tex]
x+y =11×2
x+y =22
Average of x, y and z = 5
[tex]\frac{x+y+z}{3}=5[/tex]
x+y+z = 5×3
x+y+z =15
Substitute the value of x+y
22+z=15
z =15-22
x = -7
Hence, If the average of x and y is 11 and the average of x, y and z is 5, then the value of z is -7
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Use the data to make a frequency table.
7. wing spans (cm): 150 126 139 144 125 149 133 140 142 149 150 127 130
8. marathon times (min): 135 211 220 180 175 161 246 201 192 167 235 208
9. top speeds (mi/h): 108 90 96 150 120 115 135 126 165 155 130 125 100
Answer:
Step-by-step explanation:
Keisha read 8 pages in her book each day for 5 days. Then, she r How many total pages did Keisha read?
Answer:
40
Step-by-step explanation:
What is the equation for the line that passes through the points (-4,-4) and (8,5)
Answer:
y = 3/4 x - 1
Step-by-step explanation:
We can use the point-slope form of the equation of a line.
y - y_1 = (y_2 - y_1)/(x_2 - x_1)(x - x_1)
y - (-4) = (5 - (-4))/(8 - (-4))(x - (-4))
y + 4 = (9/12)(x + 4)
y + 4 = (3/4)(x + 4)
y + 4 = (3/4)x + 3
y = (3/4)x - 1
important please answer this only one i need
Answer:
B
Step-by-step explanation:
phone numbers consist of 10 digits. how many phone numbers are possible in wilmington? 10000000 how many phone numbers are possible in wilmington if the number 7 cannot be used? 4782969 how many phone numbers are possible in wilmington if they must be divisible by 2 or 5? how many phone numbers are possible in wilmington if there are no repeated digits?
The phone numbers that are possible in Wilmington are 10000000. The phone numbers possible in Wilmington if the number cannot be used is 4782969. The phone numbers are possible in Wilmington if they must be divisible by 2 or 5 are 6000000. The phone numbers are possible in Wilmington if there are no repeated digits are 5040.
What is a digit?A positional numeral system uses a single symbol, a numerical digit, to represent numbers. The word "digit" refers to the ten decimal (old Latin adjective decem meaning "ten") digits, which are the equivalent of the ten symbols used in the conventional base-10 numeral system. The word "digit" comes from the Latin word "digiti," which means "fingers."
The absolute value of the base determines the required number of different digits for a given numeral system with an integer basis. For instance, the base-10 decimal system requires ten digits (0 through 9), whereas the base-2 binary system just needs two digits (0 and 1).
Explanation:
The number after area code is of 7 digits.
a) [tex]10^{7} =10000000[/tex]
b) [tex]9^{7} =4782969[/tex]
c) X X X X X X X
I I I I I I I
10 10 10 10 10 10 0,2,4,6,8,5,i.e,6digits are possible
=[tex]10^{6} x6=6000000[/tex]
d)7!
=5040
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