Answer at the bottom
Step 1: Simplify both sides of the equation.
4x−7x=34−55
4x+−7x=34+−55
(4x+−7x)=(34+−55)(Combine Like Terms)
−3x=−21
−3x=−21
Step 2: Divide both sides by -3.
−3x
−3
=
−21
−3
x=7
Answer:
x=7
Katrina used 2 5/6 packs of mechanical pencils in the first 2/3 of the year.
At what rate is Kelly using mechanical pencils?
A. 1 8/9 packs per year
B. 2 1/6 packs per year
C. 3 1/2 packs per year
D. 4 1/4 packs per year
Katrina is using 21//6 (B) packs per year
A psychologist wants to know if the difficulty of a task influences our estimate of how long we spend working at it. She designs two sets of mazes that subjects can work through on a computer. Once set has easy mazes and the other has hard mazes. Subjects work until told to stop (after 6 minutes, but subjects do not know this). They are then asked to estimate how long they worked. The psychologist has 30 students available to serve as subjects.
Describe an experiment using a completely randomized design to learn the effect of difficulty on estimated time.
Solution :
It is given that a psychologist wants to determine the difficulty of the task influences on the estimate of how long people spend working on it.
Now we have to describe a experiment by using a completely randomized design and learn the effect of the difficulty on the estimated time is by randomly assigning 15 students to a Group 1 of easy mazes and other 15 students to the second group 2 of hard mazes. And then we compare the time estimates of the two groups.
Two less than the quotient of a number and 3 is 16. What is the number? Let n be the unknown number
Answer:
13
Step-by-step explanation:
16/1 -3/1 = 16-3
= 13answer is unknow no.
Hello please help me through 11-13 .
Answer:
Step-by-step explanation:
Points to remember while solving a system of linear equations,
1). If the equations have same slope, solution of the system will have no solution.
2). If both the equations are same, system will have infinitely many solutions.
3). If both the equations have different coefficients of variables, system of equations will have exactly one solution.
Question 11,
ax + 4y = 10 ------ (1)
-9x - 6y = -15
-3x - 2y = -5
-6x - 4y = -10
6x + 4y = 10 -------(2)
For infinitely many solutions,
Coefficients of variables will be same.
a = 6 will be the answer.
Option B is the correct option.
Question 12,
[tex]y=-\frac{3}{2}x+4[/tex] ---------(1)
[tex]y=-\frac{3}{2}x-4[/tex] ----------(2)
Since, slopes of both the equations are same as [tex]-\frac{3}{2}[/tex], lines will be parallel.
System will have NO SOLUTION.
Question 13,
x + 3y = 6 ------- (1)
6x + 18y = 36
x + 3y = 6 -------- (2)
Both the equations are same.
Therefore, system of the equations will have infinitely many solutions.
2x - 3y = -3 ------(1)
4x + 6y = 18
2x + 3y = 9 -------(2)
Coefficients of the variables are different, therefore, one solution.
3x + 2y = 6 -------(1)
6x - 4y = 24
3x - 2y = 12 -------(2)
One solution.
8x - 10y = 6
4x - 5y = 3 -------(1)
-4x + 5y = 3
4x - 5y = -3 ------(2)
One solution.
4x + 10y = 16
2x + 5y = 8 --------(1)
10x + 25y = 40
2x + 5y = 8 --------(2)
Infinitely many solutions.
Question 17
O Mark this
Find the sum of the first 10 terms of the following geometric sequences:
{3, 6, 12, 24, 48...}
3069
3066
O
3072
O 3075
Answer:
[tex]S_{10} = 3069[/tex]
Step-by-step explanation:
Given
[tex]Sequence = \{3, 6, 12, 24, 48...\}[/tex]
Required
Determine the sum of the first terms
First, we calculate the common ratio (r)
[tex]r = \frac{T_2}{T_1}[/tex]
[tex]r = \frac{6}{3}[/tex]
[tex]r = 2[/tex]
The required sum is:
[tex]S_n = \frac{a(r^n-1)}{r-1}[/tex]
Substitute 3 for a, 2 for r and 10 for n
[tex]S_{10} = \frac{3(2^{10}-1)}{2-1}[/tex]
[tex]S_{10} = \frac{3(1024-1)}{2-1}[/tex]
[tex]S_{10} = \frac{3(1023)}{2-1}[/tex]
[tex]S_{10} = \frac{3(1023)}{1}[/tex]
[tex]S_{10} = \frac{3069}{1}[/tex]
[tex]S_{10} = 3069[/tex]
Hi I’m doing a test and I need help please tell me the answer |
V
Answer: It’s 8
Step-by-step explanation: I just went to desmos
Jane drove 693 miles in 11 hours.
At the same rate, how long would it take her to drive 411 miles?
Answer:
approx. 6.523809523809524 hours
Step-by-step explanation:
Let us first find how long it takes Jane to drive 1 mile.
11/693 = approx. 0.015873015873016 hours to drive one mile.
She drives 411 miles, so we can multiply that by 411:
0.015873015873016 * 411 = approx. 6.523809523809524 hours
I hope this helps! :)
Answer:
6.52 hours
Step-by-step explanation:
693 miles divided by 11 hours = 63 miles per hour.
411 miles divided by 63 miles = 6.52380952 miles
Round to 2 decimal places: 6.52 hours
define function. What are five representations of functions? Give an example of each.
Answer:
A function is a relationship between two variables, such that one variable is determined by the other variable.
A function can be represented verbally. For example, the circumference of a square is four times one of its sides.
A function can be represented algebraically. For example, 3x+6 3 x + 6 .
A function can be represented numerically.
A function can be represented graphically.
Step-by-step explanation:
The function is defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
We need to define function.
What is a function?Functions are the fundamental part of calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters such as f, g, and h. The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved. Co-domain is the set of values that have the potential of coming out as outputs of a function.
Different types of a function:
The types of functions have been classified into the following four types.
Based on the set of elementsBased on equationBased on rangeBased on domainRepresentation of functions:
There are three different forms of representation of functions.
Venn Diagram: The Venn diagram is an important format for representing the function. The Venn diagrams are usually presented as two circles with arrows connecting the element in each of the circles. The domain is presented in one circle and the range values are presented in another circle. And the function defines the arrows, and how the arrows connect the different elements in the two circles.
Graphical Form: Functions are easy to understand if they are represented in the graphical form with the help of the coordinate axes. Representing the function in the graphical form helps us to understand the changing behaviour of the functions if the function is increasing or decreasing. The domain of the function - the x value is represented along the x-axis, and the range or the f(x) value of the function is plotted with respect to the y-axis.
Roster Form: Roster notation of a set is a simple mathematical representation of the set in mathematical form. The domain and range of the function are represented in flower brackets with the first element of a pair representing the domain and the second element representing the range.
Therefore, the function is defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
To learn more about the function visit:
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help meeeeeeeeeeeeeee pleaseeee
The second option (5n)
["Product" is for multiplication]
need help asap please
Answer:
114°
Step-by-step explanation:
First we have to calculate the value of c Then
3c - 84° + c = 180° <being co-interior angles >
4c - 84° = 180°
4c = 180° + 84
4c = 264°
c = 264° / 4
c = 66°
Now
<R = 3 * 66° - 84°
= 114°
<P = <R ( being opposite angles of rhombus )
<P = 114°
Hope it will help :)
Two cars depart an intersection.
One goes north.
The other goes west.
Each car travels at a constant speed of 30 miles per hour.
Assuming the roads go on forever, what will be the distance between the cars after 1 hours and 30 minutes in miles?
Answer:
The distance between them after 1 hour and 30 minutes will be of 63.64 miles.
Step-by-step explanation:
This question can be solved using the Pythagorean Theorem.
Both cars travel at a constant speed of 30 miles per hour. So, after 1 hour and 30 minutes, which is 1 and a half hour, they will have traveled 30*1.5 = 45 miles.
The distance between them is the hypotenuse of a right triangle, in which the sides are 45. So
[tex]d^2 = 45^2 + 45^2[/tex]
[tex]d = \sqrt{45^2 + 45^2}[/tex]
[tex]d = 63.64[/tex]
The distance between them after 1 hour and 30 minutes will be of 63.64 miles.
1 - r= - 5help me please
Answer:
r = 6
Step-by-step explanation:
1 - r = -5
Subtract 1 on both sides
-r = -5 -1
-r = -6
Divide by -1 on both sides
r = 6
2x+2+2x-17=180 what's x?
Answer:
x= 48.75
Step-by-step explanation:
Add like terms
2x+2x and
2-17
4x-15=180
Now subtract -15 to both sides get x by itself
4x-15+15=180+15
4x=195
Now divide by four to each side to get x by itself again
4x/4 = 195/4
x=48.75
Answer:
x=48.75
Step-by-step explanation:
2x+2+2x-17=180(Group like terms)
2x+2x+2-17=180
4x-15=180(Add 15 on both sides)
4x-15+15=180+15
4x=195(Divide both sides by 4 to find the value of x)
x=48.75
What is 8^6 ÷8 simplified
8^6 is actually 8×8×8×8×8×8.
So if you divide this by 8, you get 8^5 or 8×8×8×8×8
Well...
8×8×8×8×8=32768
-8,-8,-6,-2,4,12,22 quadratic sequence
9514 1404 393
Answer:
a[n] = n^2 -3n -6
Step-by-step explanation:
First differences are ...
-8 -(-8) = 0
-6 -(-8) = 2
-2 -(-6) = 4
Second differences are ...
2 -0 = 2
4 -2 = 2
Constant second differences indicate a degree 2 (quadratic) sequence.
The general formulation can be written as ...
an = a1 +(n -1)(d1 +(n -2)/2(d2)) . . . . where a1 is the first term; d1 is the first first difference; d2 is the second difference
= -8 +(n -1)(0 +(n -2)/2(2)) = -8 +(n -1)(n -2)
an = n^2 -3n -6 . . . . . formula for the n-th term
Help plz:)))I’ll mark u Brainliest
Answer:
if the other person answers give it to them :)
4.
3.
If the base of the triangle is 4.1 cm. and the
height is 5.7 cm., what is the approximate area
bh
of the triangle? (Area of a triangle = home :)
a. 23.3 cm b. 15.5 cm
c. 11.7 cm
Answer:
area=basexheight
area=4.1x5.7
area=23.3
A population numbers 19,000 organisms initially and grows by 4.8% each year. Suppose P represents population and t represents the number of years of growth. An exponential model for the population can be written in the form P =aâb^t where p =_________
Answer:
The exponential model for the population is [tex]P(t) = 19000e^{0.048t}[/tex]
Step-by-step explanation:
The exponential model for the population has the following format:
[tex]P(t) = P(0)e^{rt}[/tex]
In which P(0) is the initial population and r is the growth rate, as a decimal.
A population numbers 19,000 organisms initially and grows by 4.8% each year.
This means that [tex]P(0) = 19000, r = 0.048[/tex]
So
[tex]P(t) = P(0)e^{rt}[/tex]
[tex]P(t) = 19000e^{0.048t}[/tex]
The exponential model for the population is [tex]P(t) = 19000e^{0.048t}[/tex]
David’s bowling score is 1 less than 3 times Aaron’s score. The sum of their scores is 179. Find the score of each student, Use the variable a for Aaron’s score
Answer: List all of the solutions.
1
=
3
=
179
=
Step-by-step explanation:
what is the answer 2x5-5=
Plzz help for once!! The cost y (in dollars) to rent a kayak. it costs $27 to rent the kayak for 3 hours.
a. Write an equation that represents the situation.
An equation that represents the situation is y=___?
Answer:
y= 81$
Step-by-step explanation:
$27 X 3= 81
Answer:
y = 9h
i don't know if this is what you were looking for or not
Step-by-step explanation:
Brian ordered a 12-inch pizza for him and some friends. They ate half of the pizza before they started
playing video games. Approximately how much of the pizza is left in the box?
A 38in2
B 57in2
C 113in2
D 144in2
Answer:
B
Step-by-step explanation:
what is the equation of this line?
Answer:
I'm certain it's -x + 2
Step-by-step explanation:
The gradient is negative, and so it cannot have a positive m value. The Y intercept is at +2.
Tina is ordering pizza for a party.Peats pizza is offering a special of 4 pizza for $26. Pizza palace is selling 10 pizza for $75. If Tina need to order 40 pizza, should she order 10 orders of the 4-pizza deal or 4 orders of the 10-pizza deal?
Answer:
She should order 10 orders of the 4-pizza deal from Peat's Pizza
Step-by-step explanation:
Peat's Pizza deal:
4 x 10 = 40 | 26 x 10 = 260 | so if you choose the Peat's Pizza deal then Tina would have to pay $260.
Pizza Palace deal:
10 x 4 = 40 | 75 x 4 = 300 | so if you choose the Pizza Palace deal then Tina would have to pay $300.
Hope this helps :D
If the price of potatoes used to make French fries increases, what will happen to ketchup?
a. Increase in supply c. Decrease in supply
b. Increase in demand d. Decrease in demand e. None of the above
Answer:
D
Step-by-step explanation:
What’s the answer to
250 = 4(1 - 7x)
Answer:
x = -123/14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
250 = 4(1 - 7x)
Step 2: Solve for x
Divide both sides by 4: 125/2 = 1 - 7xSubtract 1 on both sides: 123/2 = -7xDivide -7 on both sides: -123/14 = xRewrite: x = -123/14Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 250 = 4(1 - 7(-123/14))(Parenthesis) Multiply: 250 = 4(1 + 123/2)(Parenthesis) Add: 250 = 4(125/2)Multiply: 250 = 250Here we see that 250 does indeed equal 250.
∴ x = -123/14 is the solution to the equation.
three pounds of flour cost $1.65. how much flour do you get per dollar? round your answer to the nearest hundredth.
Answer:
1.8181818181818181 etc., which rounds to 1.82
Step-by-step explanation:
1.65/3 = 1/x
3/1.65
We get 1.80 pounds of flour for 1 dollar.
What is unitary method ?Unitary method is a mathematical technique for first deriving the value of a single unit then deriving any given unit from it.
Suppose we know one mango costs 4 dollars so 20 mangoes will cost (4×20) dollars = 80 dollars.
According to the given question three pounds of flour cost 1.65 dollars.
So, One pound of flour will cost (1.65/3) dollars which is
= 0.55 dollars.
In 1 dollar we will get (1/0.55) pounds of flour which is
= 1.81 pounds.
Rounding 1.81 to nearest hundredth will be 1.80 as the rightmost digits is than 5.
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riley bought a piano for $4000 and made a down payment of $400. if the balance is financed at a simple interest rate pf 8% with 24 equal monthly payments, what are the installments
Answer:
Total cost with interest and down payment: $4288
Monthly payment with interest: $162
(if this doesnt answer your question, plz let me know what you mean by installments and ill try again)
Step-by-step explanation
When Diego's phone is fully charged, it will last 15 hours. How much time does he
have left when there is 30% charge remaining?
Line
Answer:
help
Step-by-step explanation:
HELP PLEASE HELP
What is the solution for 3 ≥ y − 2
y ≤ 5
i think this is the answer..