the solution for the given equation is x= 1/2
an equation could be a formula that communicates the balance of two expressions, by interfacing them with the equals sign. Understanding an equation containing factors comprises deciding which values of the factors make the equality true. The factors for which the equation must be fathomed are moreover called unknowns, and the values of the unknowns that fulfill the balance are called solutions of the condition. There are two sorts of equations such as conditional and identities equations. An identity is genuine for all values of the factors. A conditional equation is as it were genuine for specific values of the factors
since the given expression is :
`(2-4)=2(-5+1)x²
so solving for the simple arithmetic expression on both sides :
=>-2 =2(-4)x²
=> -2 = -8x²
=>2/8=x²
=>1/4= x²
=>x= 1/2
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a group of five friends goes to the state fair. each friend pays the entrance fee and buys one booklet of ride tickets and a meal ticket. the entrance fee is d dollars. a booklet of ride tickets costs 2.5 times the entrance fee. a meal ticket costs $4 less than the entrance fee.
Answer: What do you need the total or the equation? I am going to write the equation.
Step-by-Step Solution: (5)(d)+(5)(d)(2.5)+ (5)(d)-4
Find the domain and range og tje ff. Rational function f(x) = 2/x+1
at 9:30 am andrew left exeter for portsmouth, cycling at 12 mi/h. at 10:00 am stacy left portsmouth for exeter, cycling at 16 mi/h. the distance from exeter to portsmouth is 20mi.find the time they meet
Stacey meets Andrew 1.5 hours after she starts travelling at 11:30 AM and Andrew meets Stacey 2 hours after he starts travelling at 11:30 AM.
How to solve this problem?
Stacey and Andrew in the mentioned problem will meet in a time frame only when the both have travelled equal distances in respect to another.
Given, speed at which Andrew was travelling = 12 mi/h
Speed at which Stacey was travelling = 16 mi/h
Let the time taken by Stacey be = t hours
Therefore, the time taken by Andrew = (t + 0.5) hours
When Stacey overtakes Andrew, they must have covered the same distance, therefore:
16t = 12×(t + 0.5) ⇒ 16t = 12t + 6 ⇒ 4t = 6 ⇒ t = 6/4 ⇒ t = 3/2 ⇒ t = 1.5
Therefore, Stacey meets Andrew 1.5 hours after she starts travelling at 11:30 AM and Andrew meets Stacey 2 hours after he starts travelling at 11:30 AM.
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probability works not by compensating for imbalances but by overwhelming them. suppose that the first 1010 tosses of a coin give 1010 tails and that tosses after that are exactly half heads and half tails. (exact balance is unlikely, but the example illustrates how the first 1010 outcomes are swamped by later outcomes.) (use decimal notation. give your answers as exact numbers.) what is the proportion of heads after the first 10 tosses?
The proportion of heads after the first 10 tosses of a coin is zero i.e 0/10 = 0
A probability is a number that reflects the likelihood or probability that a particular event will occur. Probabilities can be expressed as percentages ranging from 0 to 1, and can also be expressed as percentages ranging from 0% to 100%. A probability of 0 indicates that the particular event is unlikely to occur, and a probability of 1 indicates that the event will definitely occur.
Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes.
We have given the following points ,
A coin is tossed 10 times and it comes with tail in each time of first 10 tosses.
When a coin is toosed , there two possibilities either it comes with head or tail. Both can't be come at once.
As we see first ten tosses of a coin gives tails as a result . Then, there is no chance of occurrence head in first 10 tosses.
So, there in no heads in first 10 tosses. The probability or proportion of heads after the first 10 tosses is 0/10 = 0..
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#Complete Question:
Probability works not by compensating for imbalances but by overwhelming them. Suppose that the first 10 tosses of a coin give 10 tails and that tosses after that are exactly half heads and half tails. (Exact balance is unlikely, but the example illustrates how the first 10 outcomes are swamped by later outcomes.) (Use decimal notation. Give your answers as exact numbers.) What is the proportion of heads after the first 10 tosses?
Describe the characteristics of each set of numbers
that make up the set of integers.
Positive and negative numbers are included in the category of integers, which is distinct from decimals and fractions.
What in math is an integer?
A whole number that can be positive, negative, or zero is called an integer. It is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers are examples of non-integer numbers.There are numerous types of numbers, including integers, whole numbers, rationals , real numbers, and natural numbers. Positive and negative numbers are included in the category of integers, which is distinct from decimals and fractions. It has the following qualities:
Numbers below zero are considered negative numbers.
In the set of integers, zero is included.
There are overlaps between the number categories.
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Delilah has assets that total $56,326 and liabilities that total $32,129. What is her net worth?
The net worth of Delilah given the assets and liabilities will be $24197.
How to calculate the net worth?From the information given, Delilah has assets that total $56,326 and liabilities that total $32,129.
It should be noted that the formula to calculate the net worth will be:
= Assets - Liabilities
= $56,326 - $32,129
= $24197
The net worth is $24197.
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(x+5)-(x - 5)² for x = 3
a₁ = 7
an = an-1 - 3
Write explicitly.
Answer:
a(n) = 10 -3n
Step-by-step explanation:
You want the explicit formula for the sequence recursively defined by a(1)=7, a(n)=a(n-1) -3.
Common differenceThe recursion relation tells you that each term is 3 less than the one before. That is, the common difference between terms is -3.
Explicit formulaA sequence with a common difference is an arithmetic sequence. The formula for the n-th term is ...
a(n) = a(1) +d(n -1)
where a(1) is the first term and d is the common difference.
The first term is given by the recursive definition as 7. Then the explicit formula is ...
a(n) = 7 -3(n -1)
This can be simplified to ...
a(n) = 10 -3n
A suit is on sale for $296.40, which is 62% less than the regular price.
What is the regular price?
Answer: The total price is $478.06
Step-by-step explanation:
For this we use regular price of the suit as x
x is 100% of the price therefore 62% of x=296.4
Now we cross multiply
62 × x = 100 × 296.40
62x = 29,640
Now that we got rid of those complicated percentages we simply divide both sides by 62 to isolate x
29,640/62 = 478.064516129
Since we are working with dollars and cents that do not get smaller than .01 we can shave off all the extra decimals near the end
478.06
The regular price is $478.06
Now we just check our work to prevent any awkward and simple mistakes
478.06 x .62 = 296.3972 or 478.06 x .62 = 296.39
Keep in mind the one cent difference is because we shaved off the extra decimals at the end
Hope this helps!
What is the equation of the line?
Answer:
x=0
Step-by-step explanation:
it is a straight line on the y axis making x=0
What is the ratio of 1 1/2 hours to 50 minutes
Answer:
50 mins: 1 and a 1/2 hours
Answer:
9:5
Step-by-step explanation:
1.5 hours is equivalent to 90 minutes (60 x 1.5)
so it's a ratio of 90:50
this can be simplified to a ratio of 9:5 by dividing both sides by their shared factor of 10
On this assignment I am just writing about what the student did wrong. Please help me. LOOK AT THE PICTURE ABOVE ^^^^^^^^^^^^^^^^^^^^^^^^^
QUESTIONS:
1. What math did Ann do well?? EXPLAIN
2. What mistake has Ann made? EXPLAIN
ann made a rectangle with the
right perimeter & area
ann doesn't try any other
rectangles to see if their areas are
different.
splitting the land , ann confuses perimeter and area
mapmathshellorg
PLSS HELP EXTRMELY URGENT WILL GIVE BRAINLIEST!
2 parents and their 7 children are taking family photos. Seats are arranged in two rows
so that the first row has 4 chairs and the back row has 5 chairs. If exactly two children
must be sitting in the first row, how many ways can the seating be arranged?
Answer: .................................................
how many ways can the seating be arranged?
answer = 128 ways
correct or what???
Please help
At the beginning of spring, London planted a small sunflower in her backyard. The sunflower's height in inches,
h
h, after
w
w weeks, is given by the equation
h
=
4
w
+
15
h=4w+15. What could the number 4 represent in the equation
The change in the sunflower's height for every one additional week.
The sunflower's height after one week.
The sunflower's final height
The sunflower's height after 0 weeks.
statistical output provides a means for creating a picot question. question 3 options: a) true b) false
It is true that statistical output provides a means for creating a picot question.
What is picot question?The letters PICOT stand for patient, intervention, comparison, outcome, and (occasionally) time, which are the components of a clinical research question. A case scenario is used to frame the question in the PICOT process in order to elicit an answer. A PICOT question's main objective is uncomplicated: It is a mechanism for determining the keywords to use when looking for the strongest evidence to address a pressing clinical question. In other words, the search plan is the PICOT question. The search strategy produces an objective and successful search.
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what fraction multiplied by 31/27 equals 1
Answer: 27/31 is the answer
Step-by-step explanation:
31/27 x 27/31 = 1 because 27/31 is the recprical
Answer:x = 31/27 = 1.148
Step-by-step explanation:
Hawa buys 15 bottles of apple juice at the corner store for a total cost of $12.15. If
each bottle costs the same amount, how much is 8 bottles of juice?
As per the unitary method, the cost of 8 bottles is $6.48
Unitary Method:
Unitary method is the way of solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given,
Hawa buys 15 bottles of apple juice at the corner store for a total cost of $12.15.
Here we need to find the if each bottle costs the same amount, how much is 8 bottles of juice.
Let x be the cost of one bottle.
so, based on the unitary method we can written the situation as,
15 bottles = costs $12.15
Therefore, the cost of one bottle is.
x = 12.15/15
x = 0.81
So, the cost of 8 bottle is calculated by multiplying the cost of one bottle with 8,
Then we get,
=> 8 x 0.81
=> 6.48
Therefore, the cost of 8 bottles is $6.48
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Shaylee is determining if 6 is the solution to the equation.
42 ÷ w = 7 for w = 6
First, Shaylee must substitute
for
.
To simplify, Shaylee must divide
by
.
First Shaylee must substitute 6 for w. To simplify, Shaylee must divide
42 by 6.
What is division?Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group.
Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.
In this equation we have
42 ÷ w = 7
The question has already specified the value of w as 6
Hence we would have to remove w and replace it with the value six 6.
This is
42 ÷ 6
Next we have to find the value or the answer when we do this division. This can be easily done with a calculator
42 ÷ 6 = 7
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4. A triangle has two sides measuring 8 cm and 15 cm. Write an inequality to represent the possible lengths of the third side.
Answer:
7 < x < 23
Step-by-step explanation:
given 2 sides of a triangle then the third side x is in the interval
difference of 2 sides < x < sum of 2 sides , that is
15 - 8 < x < 15 + 8
7 < x < 23
I need to paint a straight face consisting of six panels he has a green red and magenta paint and each panel should be painted with only one color how many ways are there to paint the fence
There are 20 ways to paint the fence consisting of six panels each with one color out of green, red, and magenta.
There is a total of 6 panels and 3 paint colors and each panel has to be painted with only 1 color.
∴ Total number of panels = 6
Total number of colors = 3 (green, red, and magenta)
To calculate the number of ways to paint 6 panels with one of the 3 colors, the formula of combination is used. Combinations are ways of selecting objects from a group or collections, in a way that the order of the objects does not matter.
The number of ways or the combinations of 6 panels taken with each color out of 3 at a time is given by [tex]^6C_3[/tex]
[tex]^6C_3[/tex] = 6! / [3! (6-3)!]
[tex]^6C_3[/tex] = (6*5*4*3*2*1) / [3*2*1 (3)!]
[tex]^6C_3[/tex] = 720 / (6*6)
[tex]^6C_3[/tex] = 720 / 36
[tex]^6C_3[/tex] = 20
Therefore, 20 combinations are possible to paint 6 panels each with only one color out of green, red, and magenta.
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"15 fish per fish tank" translated expression
Answer:
15/x
Step-by-step explanation:
x = fish tank
Write a system of equations with the solution (4, -3).
The system of equations with the solution (4, -3) is y = x - 7 and y = 2x - 11.
We are given a point. The coordinates of the point are (4, -3). We need to find a system of equations such that they pass through the given point.
We will use the slope-point form of a line. Let the slope of the equation of the straight line be "m". We need two equations. The general equation of a line using the slope-point form is given below.
(y - y1) = m(x - x1)
We know that both equations must pass through the given point for the solution to exist.
(y - (-3)) = m(x - 4)
(y + 3) = m(x - 4)
We just need to take any two values of the slope of the line.
First, we take m = 1. The corresponding equation is given below.
(y + 3) = m(x - 4)
(y + 3) = 1*(x - 4)
y + 3 = x - 4
y = x - 7
Next, we take m = 2. The corresponding equation is given below.
(y + 3) = m(x - 4)
(y + 3) = 2*(x - 4)
y + 3 = 2x - 8
y = 2x - 11
Hence, the system of equations is y = x - 7 and y = 2x - 11.
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Help please
Find the values of the variables and the measures of the angles.
Answer:
X= 29 because it is a right angle, and all right angles are = to 90, so you subtract 61 from 90.Y= 29Z= 61
Step-by-step explanation:
Answer:
Step-by-step explanation:
Summation of all angles within a triangle is equal to 180 degrees.
y+61+90=180
Therefore, y = 180-61-90 = 29 degrees
61+x = 90
Therefore, x = 90-61 = 29 degrees
z+90+29 = 180
Therefore, z = 180 - 90 - 29 = 61 degrees
A hardware store is having a 35%-off sale. If an item has a list price of $16.20, what is the item's sale price?
$12.80
$9.67
$10.53
$12.15
$11.60
Answer:
10.53
Step-by-step explanation:
hope it helps :)
At a certain time, Janice notices that her digital watch reads a minutes after two o'clock. Fifteen minutes later, it reads b minutes after three o'clock. She is amused to note that a is six times b. What time was it when she looked at her watch for the second time?
Answer:
2 : 45
Step-by-step explanation:
The sum of three consecutive even numbers is 558. What is the 1st number?
The sum of three consecutive even numbers is 558, The first number is 184.
The Sum of three consecutive even numbers is 558
We have to find the first number
Let the three consecutive even numbers be:
First number = x
Second number = x + 2
Third number = x + 4
Since their sum is 558
Therefore,
x + x + 2 + x + 4 = 558
3x + 6 = 558
3x = 558 - 6
3x = 552
Divide both sides by 3
Then the first number is 184.
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The equation of line g can be written as y=7/2x+6. Line h includes (-2,-3) and js parallel to line g. What is the equation of h?
Answer:
y = [tex]\frac{7}{2}[/tex] x + 4
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{7}{2}[/tex] x + 6 ← is in slope- intercept form
with slope m = [tex]\frac{7}{2}[/tex]
• Parallel lines have equal slopes , then
y = [tex]\frac{7}{2}[/tex] x + c ← is the partial equation of line h
to find c substitute (- 2, - 3 ) into the partial equation
- 3 = - 7 + c ⇒ c = - 3 + 7 = 4
y = [tex]\frac{7}{2}[/tex] x + 4 ← equation of line h
Given m || n, find the value of x.
(8x+9)°
81⁰
Ms. Rumble's history class conducted interviews with their grandparents for a class project. The grandparents older than 89 years old knew that Amelia Earhart was the first woman to fly solo across the Atlantic Ocean.
Determine the graph to represent this scenario.
number line with open circle on the number 89 and line shaded to the right
number line with closed circle on the number 89 and line shaded to the right
number line with closed circle on the number 89 and line shaded to the left
number line with open circle on the number 89 and line shaded to the left
A graph to represent this scenario is number line with open circle on the number 89 and line shaded to the right
The rules for writing an inequality.In Mathematics, the following rules are generally used for writing and interpreting an inequality on a number line:
The circle on a number line should be shaded (closed) when the inequality symbol is (≥ or ≤).When the arrow points to the left on a number line, the inequality is either (≤ or <).The circle on a number line should not be shaded (open) when the inequality symbol is (> or <).When the arrow points to the right on a number line, the inequality is either (≥ or >).Let the age of the grandparents be x. Therefore, an inequality which represents the situation described above is given by:
x > 89
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Mila bought stock in a company
two years ago that was worth z
dollars. During the first year that she owned the stock, it decreased by
35%. During the second year the value of the stock decreased
by 32%.
Write an expression in terms of z that represents the value of the stoc
after the two years have passed.
The expression is 2z+0.67
From the question, we have
During the first year that she owned the stock, it decreased by 35%. During the second year the value of the stock decreased by 32%.
z-35%+z-32%
=z-7/20+z-8/25
=2z+0.67
Subtraction:
Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.
The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.
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