The function for the monthly bill can be written as y = 7 + 4x.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a music streaming service charges $7 per month for the first user and $4 more per month for each additional user.
The equation can be written as,
y = 4x + 7
Here, y is the monthly charge and x is the number of months.
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One-third of a number added to itself equals 3 times the difference of the number and seven.
Answer:
Step-by-step explanation:
Do this step by step.
Let the number = x
1/3 of a number = 1/3 x
Added to itself 1/3x + x
=
3*(x - 7)
So the equation is
1/3x + x = 3(x - 7) Remove the brackets. Collect 1/3x and x
4/3 x = 3x - 21 Multiply both sides by 3.
4x = 3*(3x - 21) Remove the brackets again
4x = 9x - 63 Subtract 9x from both sides
-5x = -63 Divide by -5
x = -63/-5
x = 12.6
Sam is four years older than his brother. The sum of their ages is 24. How old is
each brother?
Answer: the brother is 10
Step-by-step explanation:
Answer:
sam is 14 his brother is 10
Step-by-step explanation:
if sam us 4 years older than his brother then sam has to be atleast 10 therefore his brother would be 10
What is the volume of this rectangular prism?
cm
3
cm
5
cm
3
cm
Answer:
2cm³
Step-by-step explanation:
A radar unit tracks a target which may use interference. If the target does not employ interference, then during on surveillance cycle the unit may detect it with probability p0. If it employs interference, then the unit may detect it with probability p1 < p0. The probability that the interference will be used in one cycle is p and does not depend on the way and time the interference was used in other cycles. Find the probability that the target will be detected at least once in n surveillance cycles.
Answer:
The probability that the target will be detected at least once in n surveillance cycles is given by the following expression: [tex]1 - (1-p_0+p(p_1-p_0))^{n}[/tex]
Step-by-step explanation:
For each surveillance cycle, there are only two possible outcomes. Either it detects the target, or it does not. Cycles are independent. This means that the binomial probability distribution is used to solve this question:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of detecting a target:
p0 of 1-p (without interference)
p1 of p(with interference). So
[tex]\pi = p_0(1-p) + p_1p = p_0 + p(p_1-p_0)[/tex]
Find the probability that the target will be detected at least once in n surveillance cycles.
This is
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}[/tex]
[tex]P(X = 0) = C_{n,0}.(p_0+p(p_1-p_0))^{0}.(1-p_0+p(p_1-p_0))^{n} = (1-p_0+p(p_1-p_0))^{n}[/tex]
So
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - (1-p_0+p(p_1-p_0))^{n}[/tex]
The probability that the target will be detected at least once in n surveillance cycles is given by the following expression: [tex]1 - (1-p_0+p(p_1-p_0))^{n}[/tex]
how much interest is charge when 100,000 is borrowed for 6months at an annual simple interest rate of 12 percent
hope this helps Step-by-step explanation: 7200 cause 12 percent of 100,00 is 7200
what is the least common denominator for 5/7 4/6
Answer:
Tricky! The LCD is 21
Normally, we would have to multiply the denominators, 7 × 6 = 42 but 4/6 is not reduced.
Step-by-step explanation:
15/21 is equivalent to 5/7
14/21 is equivalent to 4/6 and 2/3
95% of 7-year-old children are between inches and inches tall.
45 and 53 are the correct answers on edge.
Answer:
45 and 53, i got it right on edge
The intersection of three lines at one point and the measures of three angles are shown in this figure.
Answer:
D. 2x+71=180
Step-by-step explanation:
Six angles are represented, three are marked. The six angles add up to 360 (360 degrees in a circle). We know that the sum of all the marked angles equals 180, because each marked angle has an equal, unmarked, vertically opposite angle, and half of 360 is 180. Therefore we can write:
76+(x-5)+x=180
2x+71=180
Can someone help me with a two step equatio that is x=3
Answer:
ok
Step-by-step explanation:
ya
Which number line shows the graph of x 11
Answer:
The second one
Step-by-step explanation:
Since the equation is X is greater than or equal to 11, because of the line under it, the "or equal to" it is a closed dot. (If it didn't have that line under it, it would be an open dot.) And, how I like to explain which way the blue arrow goes, the ">" kind of looks like the tip of an arrow, so the blue arrow should go the same way. For example, ">" seems like an arrow going this way "-->", or "<" seems like an arrow going this way "<--"!
Answer:
B, is the correct option.
Step-by-step explanation:
because x is greater than or equal to 11.
help me
Give the approximate measurement of the following objects by using the appropriate
measuring tool:
1) Length of the blackboard
2) Weight of a pineapple
3) Weight of 5 notebooks
4) Length of the door
5) Volume of used mineral water
Answer:
Step-by-step explanation:
I used SI system for units
1)meter
2)kilogram
3)kilogram
4)meter
5)Litre
according to the rules of significant figures 1.25*200=300
will give brainliest pls
Answer:
It's false
Step-by-step explanation:
1.25*200=250 not 300.
The diagram below shows the branching tree diagram for humans. The text box below it shows the set of derived shared characteristics for the branching tree.
A slanting, horizontal line is shown. On the extreme left, there is a label that says, Common Ancestor. Along the slanting, horizontal line there are five dots labeled from left to right as 1, 2, 3, 4, and 5. There is one vertical line between each of the consecutive five dots. The lines are labeled from left to right as Perch, Frog, Pigeon, Rats, and Human. A text box below the branching tree diagram is labeled Derived Shared Characteristics. In the box it says from left to right, Terrestrial during all stages, Jaws, Walking on two legs, Mammary glands and hair, and Four limbs.
Look at the possible derived shared characteristics, shown in the text box. Think about where these should be placed along with the branching tree diagram. From the text box, select a shared derived characteristic that humans and rats have. Explain why you think humans and rats share this characteristic?
Answer:
Humans' and rats' incisors are larger than their other teeth, though humans' incisors are only marginally larger. They perhaps share this characteristic to help them adapt to an omnivorous diet.
Step-by-step explanation:
Select the correct answer. What is the range of function m? m(x) = √x - 3 + 1
Answer:
i think it is b
Step-by-step explanation:
The range for m is [3, ∞)
What is function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
m(x)= √(x- 3) + 1
For x= 0
m(0) = √(-3) + 1
m(0) = √3i + 1
So, m ≠ 0, 1, 2 because it leads to imaginary value.
Thus, m ≥ 3
i.e., m=4
m(3)= √3-3 + 1= 1
and, m(4)= √(4- 3)+ 1 = 2
Hence, the range for m is [3, ∞)
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A college statistics class conducted a survey of how students spend their money. They asked 25 students to estimate how much money they typically spend each week on fast food. They determined that the mean amount spent on fast food each week is $31.52 and the median is $32. Later they realized that a value entered as $2 should have been $20. They recalculate the mean and the median. Which of the following is true? Group of answer choices
a. The mean and median will increase.
b. The mean will increase, but the median will remain the same.
c. The mean will stay the same, but the median will increase.
d. Both the mean and median will remain the same.
Answer:
Option B, The mean will increase, but the median will remain the same.
Step-by-step explanation:
Given
Mean value is [tex]31.52[/tex] dollars
Median Value is [tex]32[/tex] dollar.
Mean is the average of all the units in a given set of data. Change in any of the number will change the mean.
Here the mean is 31.25
Total money would be [tex]31.25 * 25 = 781.25\\[/tex]
A number is changed from 2 to 20 , i.e addition of 18 dollars
the new mean would be 781.25 + 18/25 = 31.97
However, the median value is the value of the unit at the center of the arrangement. Hence, it will not change.
Option B is correct
Find the Perimeter and Area
Answer:
Area = 20.28 cm^2
Perimeter = 16.28 cm
Step-by-step explanation:
The figure is composed of a half circle and a rectangle,
The circle has a diameter of 7 - 2 - 1 = 4cm and the rectangle is of side 2 cm and 7 cm.
Therefore the area is :
Area = A rectangle + Acircle/2 = 2*7 + pi*r^2/2 = 20.28 cm^2
The perimeter is :
Perimiter = 1 + 2 + 7 + Pcircle/2 = 1 + 2 + 7 + 2*pi*r/2 = 16.28 cm
Hya think of a number "m" . She square it, add "y" to the answer and then subtract 7 from it. The final answer is "A". 1) Derive the formula for A 2) Using the formula, find the value of A when m= 3 and
Given, to find A we have to :
square mAdd y to m²Subtract 7 from m² + yFrom the question, the following equation can be formed :
[tex] =\tt A = {m}^{2} + y - 7[/tex]
Therefore, the formula for finding A = m² + y - 7
Solution (2) :The value of A we can derive from the formula is :
[tex] =\tt A = {m}^{2} + y - 7[/tex]
Value of m = 3 (given)
Which means :
[tex] =\tt A = {3}^{2} + y - 7[/tex]
[tex] =\tt \: A = 9 + y - 7[/tex]
[tex] =\tt A = 9 - 7 + y[/tex]
[tex]\color{plum} =\tt A = 2 + y[/tex]
Thus, the value of A = 2+y
Therefore, the value of A = 2+y
A writer was paid $9,000 for a 3,000-word article. How much is that per word? A $0.33 B $27,000 ) $3 D) $30
Answer:
A. $0.33
Step-by-step explanation:
Because you divide 3000/9000
to get 0.33
Answer: three (c)
Step-by-step explanation:
3*3000=9000
or
9000/3= 3000
1) An item has a regular price of x dollars. It is being sold at a 40% discount. Write two
expressions that could be used to determine the sale price.
Answer:
Step-by-step explanation:
Your answer
Price = x dollar. Discount = 40%
Discount price is 0.4x
Net price = x-0.4x= 0.6x
Mark it as Brainlist answer. Follow me.
is y = -x3 + 4 linear or non linear
Answer:
It is a linear equation
4 3
10 x 2.43 = 10x2++
10 100
100)
Answer:
add my sc = bmic ava, no spaces
or add my discord = XoXo_ava
Step-by-step explanation:
hope i can help bbg / bbb :
) !!!
Alice has 2 pennies, 3 nickels, 4 dimes, 4 quarters and 1 loonie in her pocket. If one coin is drawn randomly, what is the theoretical probability of getting a quarter?
Find the equation of this line
Answer: y=1x+1
Step-by-step explanation:
Rise/Run = 1/1 = 1 = slope
y-intercept : 1
Answer:
y=-2x+1 is the answer
Step-by-step explanation:
Find the value of x in the rhombus
Answer:
Your answer is.....
x= 37
Mark it as brainlist answer . follow me for more answer.
Step-by-step explanation:
Find the perimeter and area of the semi circle
Answer:
Step-by-step explanation:
Perimeter of a semicircle with diameter d = πd/2 + d
Which angle is a corresponding angle to 8?
Answer:
angle 1 (the last option)
Step-by-step explanation:
hope this helps!
you are working to save money for a trip. you need to save 1500. if you already have 250 saved, and make represent how many hours, h, you need to work to make the rest of the money show your work
Answer:
Step-by-step explanation:
$1500-$250 = $1250
You need to save an additional $1250.
The question did not include a pay rate.
Suppose you earn x dollars an hour.
$1250 × (1 hour)/($x) = (1250/x) hours
You need to work 1250/x hours.
Bob has a total of 60 adventure cards for a game. The table shows the number of cards, c, distributed to p players. Which equation describes the
paltem in the table?
Does anyone know the answer for this ?
Answer:
A. c = 60 / p
Step-by-step explanation:
If p=2, the equation would read... c = 60 / 2, which mean c = 30. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.
GIVING BRAINLIEST Use the inequality 186< -3 (4x - 2).
a.Solve the inequality for x.
b. Which graph shows the solution to the inequality?
Answer:
x < -15
Step-by-step explanation:
I solved the inequality but i don't know if that was what you were asking for lol, if not sorry.
Can someone help I’m confused