6x+26x-10=8(4x+10) quadratic equation has no solution.
First, Simplify the equation:
6x + 26x + (-10) = 8(4x + 10)
Now, reorder the terms:
(-10) + 6x + 26x = 8(4x + 10)
Combine the like terms:
6x + 26x = 32x
-10 + 32x = 8(4x + 10)
Then, reorder the terms:
-10 + 32x = 8(10 + 4x)
-10 + 32x = (10 × 8 + 4x × 8)
-10 + 32x = (80 + 32x)
Add '-32x' to each side of the equation.
-10 + 32x + -32x = 80 + 32x + -32x
Again, Combine like terms:
32x + -32x = 0
-10 + 0 = 80 + 32x + -32x
-10 = 80 + 32x + -32x
Repetitively, Combine like terms:
32x + -32x = 0
-10 = 80 + 0
-10 = 80
After Solving,
-10 = 80
Thus, there is no further variable to solve.
∴ This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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a rope 18M and 50Cm is to be divided into four equal parts. how long will each part be? give your answer in metres and centimetres
Answer:
4 m and 62.5 cm
Step-by-step explanation:
1 meter = 100 cm
So 18m and 50 cm = 18 x 100 + 50 cm = 1850 cm
If it is going to be divided into 4 equal parts, each part = 1850/4 = 462.5 cm
462.5 cm = 462.5/ 100 = 4 m and 0.625 m
0.625m = 0.625 x 100 = 62.5 cm
So each piece is 4 m and 62.5 cm
Type the next number in the list
3, 12, 60, 240, 1200 what’s the next number
In the given number series 3, 12, 60, 240, 1200, the next number is 4800.
How to find the next number?
3, 12, 60, 240, 1200
Solution:
In the given sequence,
3, 12, 60, 240, 1200
Each intermittent number is multiplied by 4 and the number next to it by 5.
3*4 = 12
12*5 = 60
60*4 = 240
240*5 = 1200
1200*4 = 4800
Therefore, the next number is 4800.
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What is the value of 2^4 + 9x + 2 when x= 2?
The value of 2⁴ + 9x + 2 when x = 2 is 36.
What is an Algebraic Expression?An algebraic expression in mathematics is one that contains variables, constants, and algebraic operations (addition, subtraction, etc.). Terms comprise expressions. These expressions use unknown coefficients, constants, and variables. These three terms combined are referred to as an expression.It should be noted that an algebraic expression lacks sides and the equal sign, in contrast to an algebraic equation.You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression.Given:
Algebraic expression is 2⁴ + 9x + 2
Where x = 2
So substituting the value of x to find the result of the expression,
2⁴ + 9x + 2 = 16 + 9×2 + 2 = 16 + 18 + 2 = 36
Hence the value of the expression is 36.
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The following table shows inflation over the given period.
Time span
1970-2010
1980-2010
Inflation
462%
164%
The following table shows average house priced for the given year:
Year
Average
home sale
1970
1980
$18,300
1990
1990-2010
67%
2000
2000-2010
26%
2010
$47,200
$79,100
$119,600
price
a) Find the percentage change in the home sale price between the year 1970 and 2010 using the above table
$156,000
The percentage change in the home sale price between the year 1970 and 2010 is 13.01%
What is percentage?It is a relative value used to denote hundredths of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. A number's percentage is its weight in relation to 100. For example in the case, there are 26 females and 24 boys in a class. 52% of the class is made up of girls, which means that out of 100 students, 52 are female.
Given Data
Average home sale
1980 = $18300
1990 - 2010= $2000
Percentage sale = [tex]\frac{20300}{156000}[/tex] × 100
Percentage sale = 13.01
The percentage change in the home sale price between the year 1970 and 2010 is 13.01%
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5. 0.9 -0.2 =
its 5th grade math
Answer:
0.7
Step-by-step explanation:
Pls help PLEASE
x/3 + x-1/4=2+x.
Find X
Answer:
27/5
Step-by-step explanation:
x/3+x-1/4 = 2+x
4x+3x-3/12=2+x
7x-3=24+12x
7x-12x=24+3
5x=27
x=27/5
if the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, would this change the value of p(odd number)? explain.
if the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, No , it does not change the value of p(odd number) .
a) The sample space is the set of all possible outcomes. By definition, the elements of a set should not be repeated. Hence, the sample space S = {1, 2, 3}
However, the sample is not equiprobable because each element has different probabilities.
b) P(odd number) = number of odd digits / number of faces = 4/6=2/3
Note that the odd numbers are 1 (on three faces) and 3 (on one face).
c) The fact the die has been biased does not change the possible outcomes. It only changes the probability of getting any given number.
d) Because the 3-face has been loaded, this probability changes. In fact, it is calculated thus:
Let's assume the probability for 1 or 2 is . Then that of 3 is (because it is twice the others). The sum of probabilities must be 1.
x+x+x+x+x+2x=1
7x=1
x=1/7
P(odd number) = 3 * Prob(1) + Prob(3)
=3*1/7 +2/7 = 5/7
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A box of cereal contains 24 ounces.
It costs $5.52. What is the cost, to the nearest cent,
of the cereal per ounce?
A $0.23
B $2.35
Write and solve an expression.
C $4.26
D $28.89
The cost of one ounce of cereal is $0.23
Given:
Amount of cereals a box contain = 24 ounces
Cost of one box = $5.52
Cost of cereal per ounce = Cost of cereal / Amount of cereals in a box
Cost of cereal per ounce = $5.52 / 24
Cost of cereal per ounce = $0.23
What is Ounce ?An ounce is any of various units of mass, weight or volume derived almost invariably from the ancient Roman unit of measure, the ounce. an avoirdupois ounce is 1⁄16 avoirdupois pound; it is the US and British imperial ounce. 1 ounce is equal to 437.5 grains or 28.349 grams, A US customary fluid ounce is 1⁄16 of a US liquid pint and 1⁄128 of a US liquid gallon or exactly 29.5735295625 mL.
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I’m trying to figure out this question but can’t need help asap
Answer:
bottom right rectangle: 5x − y
bottom circle: 6x
Step-by-step explanation:
First, solve for the bottom right rectangle by finding the difference between the top right rectangle and the middle right circle:
(9x + 4y) − (4x + 5y)
= (9x − 4x) + (4y − 5y)
= 5x − y
Next, to find the bottom circle, add the bottom left rectangle with the bottom right rectangle (the one we just solved for):
(x + y) + (5x − y)
= (x + 5x) + (y − y)
= 6x
What is the slope of the line?
Answer:
Step-by-step explanation:
Slope= rise/run or y2-y1/x2-x1
the two points are (4,-4) and (1,4)
so, it is (( -4) - 4) /(4-1)= -8/3
slope = -8/3
Please help me asap!! I will try an give brainliest to the person who has the correct answer! (The equation that I answered in the picture was on accident, I'm not sure if that is the actual answer.)
Thank you!
Answer:
Your answer would be the last one since that's the one that doesn't have a changed result when the numbers are moved around.
Will give brainly and 20 points
Question 3
Answer:
I think the answer is d..
will give brainliest
Write the set of coordinates for a reflection of the figure over the x-
axis.
(-1, 3) (-3, 1) (-5, 1) (-4, 6)
Check the picture below.
A certain Figure Q is enlarged to form Figure P. Are Figures Q and P congruent?
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:Not \:\: Congruent [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
If a figure is enlarged, it will still be similar to the original figure, but it won't be congruent to the original figure, because, to be congruent the figures should be of equal size/ coincide each other perfectly, which isn't possible in this scenario.
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
kareem needs to make a total of 40 deliveries this week. so far hes completed 28 of them. what percentage of deliveries has he completed?
thank youuuu
If Kareem has completed 28 out of the 40 deliveries he needs to fulfill this week, then he has completed 70 percentage of his total deliveries.
As per the question statement, Kareem needs to make a total of 40 deliveries this week, and he has completed 28 thus far.
We are required to calculate the percentage of deliveries, Kareem has completed so far.
To solve this question, we simply need to divide the number of deliveries completed so far, by the total number of deliveries Kareem needs to fulfill in the week, and then multiply the quotient with 100, to obtain our desired answer.
Here, number of deliveries completed so far by Kareem = 28,
And, total number of deliveries Kareem needs to fulfill = 40.
Therefore, percentage of deliveries, Kareem has completed so far
= [(28/40) * 100]
= [(7/10) * 100]
= (7 * 10)
= 70%.
Percentage: In Mathematics, percentage is the number or ratio, being expressed as a fraction of 100 and often denoted using the percent sign, "%".To learn more about Percentage, click on the link below.
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I don’t under what it is trying to say
Answer:
-2
Step-by-step explanation:
It’s asking you to solve the expression with the values given. After doing that, it’s asking you to simplify the result.
Expression - Does not have an equal sign, only the operation (multiplication, division, addition, subtraction).
A $100 sweatshirt is put on sale for 40% off. One week later, the sale price is marked up by 40%. Will the marked-up price of the sweatshirt be less than, greater than, or equal to the initial price of $100?
The new price after being marked up is less than initial price of $100.
The price of sweatshirt after discount = 100 - 40%×100
Converting percentage to fraction
The price of sweatshirt after discount = 100 - (40/100)×100
The price of sweatshirt after discount = 100 - 40
Performing subtraction
The price of sweatshirt after discount = $60
The marked up sale price = 60 + 40%×60
Converting percentage to fraction
The marked up sale price = 60 + (40/100)×60
Cancelling zero and performing multiplication
The marked up sale price = 60 + 24
Performing addition
The marked up sale price = $84
Thus, the marked up price after discount will be less than the initial price of $100.
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I Will Mark Brainlist please Help !!! Its A Math Question Thank you have a Great Day!
The correct answer is option C that is on step 4 - 5 the right side should have been ± i.
A quadratic polynomial function is the one which can be written in the form ax² + bx + c = y where a, b and c are coefficients and x, and y are independent and dependent variables respectively. The quadratic polynomial function is solved using Completing the square method. In this method the quadratic polynomial is converted into the form (x + a)² in order to find the roots of the quadratic polynomial. Here, the steps 1, 2 and 3 are correct but in step 4 after taking square root on both the sides the value of √-1 is not taken as ± i and further it is solved. This becomes an error as we know that the value of √-1 = ± i and if not taken properly errors occur.
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the circumference of a circle is 60cm what is the area
step by step explanation please
The area of a circle with the value of its circumference as 60cm is 286. 38cm²
How to determine the area of the circleThe formula for determining the formula for circumference of a circle is expressed as;
Circumference = 2 πr
Given that;
π has a fractional value of 22/ 7 and a decimal value of 3. 14r is the radius of the circleNow, we have to substitute the value of circumference of the circle as 60cm
We have;
60 = 2 πr
Now, substitute the value for π into the equation, we have;
60 = 2× 3.14r
Multiply the values, we get;
60 = 6.28r
Make 'r' the subject of formula in the equation
r = 60/6.28
r = 9.55cm
But we know that e formula for area of a circle is expressed as;
Area = πr²
Now, substitute the value of radius into the formula, we have;
Area = 3. 14(9.55)²
Find the squares
Area = 3.14(91.2025)
Multiply the values by expanding the bracket
Area = 286. 38cm²
Hence, the area is 286. 38cm²
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Ana runs 3/4 mile in 6 minutes. Fill in the missing values in the table. Using the table, find the constant of proportionality. Then write the equation to represent this relationship.
1. The constant of proportionality when Ana runs 3/4 mile in 6 minutes is 0.125.
2. The missing value in the table will be 7.5 miles and 8.75 miles.
What is constant of proportionality?It should be noted that the constant of proportionality simply illustrates the ratio of two given values that have a proportional relationship.
1. In this case, Ana runs 3/4 mile in 6 minutes. Therefore, the constant of proportionality will be:
y = kx
where y = distance
x = time
3/4 = 6x
0.75 = 6k
Divide
k = 0.75 / 6
k = 0.125
The constant of proportionality is 0.125.
2. The missing value in the table will be:
y = kx
when x = 60.
y = 60 × 0.125 = 7.5 miles.
y = kx
when x = 70
y = 70 × 0.125 =8.75 miles.
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What is the special angle pair relationship between ∠1 and ∠3?
Answer:
see explanation
Step-by-step explanation:
∠ 1 and ∠ 3 are corresponding angles
each is in the same position ( the upper left hand corner) in its group of 4 angles.
3(x+y)=y
If (x,y) is a solution to the question above and
Y= 0, what is the ratio x/y ?
A) -4/3
B) -2/3
C) 1/3
D) 2/3
The value of x / y in the given equation will be -2 / 3. The correct option is B.
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 expression is 3(x+y) = y, the value of x / y will be calculated as:-
3(x+y) = y
( x + y ) / y = 1 / 3
( x / y ) + 1 = 1 / 3
( x / y ) = ( 1 / 3 ) - 1
( x / y ) = -2 / 3
Therefore, the value of x / y in the given equation will be -2 / 3. The correct option is B.
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Question 9(Multiple Choice Worth 1 points)
(04.05 MC)
A company determines an employee's starting salary according to the number of years of experience, as detailed in the table.
Years of experience Salary
0 $40,000
1 $42,150
2 $44,260
3 $46,785
4 $48,820
5 $51,126
Use the equation for the line of best fit to predict the salary for an employee with 7 years of experience? (Round your answer to the nearest dollar.)
$52,900
$53,340
$53,914
$55,573
By using the equation for the line of best fit, the salary for an employee with 7 years of experience is: D. $55,573.
What is a line of best fit?A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.
In this scenario, the employee's years of experience would be plotted on the x-axis of the scatter plot while salary would be plotted on the y-axis of the scatter plot.
By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that the equation for the line of best fit is given by:
y = 2233.3x + 39940
Next, we would use the equation for the line of best fit to predict the salary for an employee with 7 years of experience:
y = 2233.3(7) + 39940
y = 15,633.1 + 39940
y = 55,573.1 ≈ $55,573.
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Answer:
D
Step-by-step explanation:
$55,573
TABLE-TENNIS TABLES Target purchases TIGA table-tennis tables at a cost of $180 each. If the company's operating expenses are 16% of cost, and a net profit of 7% of cost is desired, find the selling price of one table-tennis table.
Answer:
The selling price of one table-tennis is $221.40
Step-by-step explanation:
Graph each inequality on a separate number line.
X<4
The inequality x & lt; 4 is represented on a number line .
What is number line?
A number line is a representation of a graduated straight line in elementary mathematics that serves as a visual representation of the real numbers. It is assumed that every point on a number line corresponds to a real number, and that vice versa. Frequently, the integers are represented by specially marked, uniformly spaced points on a line. The line includes all real numbers, continuing indefinitely in both directions, as well as numbers that are in between the integers, even though the image only displays the integers from -3 to 3. It is frequently employed as a teaching tool, particularly when teaching simple addition and subtraction with negative numbers.
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please help me with this problem
Solution
In a cyclic quadrilateral, opposite angles is supplementary.
=> 3x - 59 + 2x - 1 = 180
=> 5x - 60 = 180
=> 5x = 180 + 60
=> 5x = 240
=> x = 48
Angle A = 2(48) + 4 = 100
Also, A + C = 180
=> C = 180 - 100
=> C = 80
The population of the United States is approximately 3.28×108 people, and the population of Brazil is approximately 2.12×108 people. What is the difference between the populations of the United States and Brazil?
Answer:
[tex]1.16 \times {10}^{8} [/tex]
Step-by-step explanation:
[tex](3.28 \times {10}^{8} ) - (2.12 \times {10}^{8} ) = 1.16 \times {10}^{8} [/tex]
8. Order these numbers from least to greatest. 26 087, 2.6 x 10', 26 079, 2.6432 x 10,26 295, 2.6803 x 10
The numbers are 26.087, 2.6 x 10', 26.079, 2.6432x 10,26.295, 2.6803x10. The order of the number from least to greatest is 26, 26.079, 26.087, 26.295, 26.432, 26.803.
Given that,
The numbers are 26.087, 2.6 x 10', 26.079, 2.6432x 10,26.295, 2.6803x10.
We have to find the order of the numbers from least to greatest.
The order of the numbers from least to greatest is nothing but an ascending order.
Ascending order is nothing but ascending order refers to the grouping of information from the lowest to the highest value. Increasing order is another name for it.
Now, we take the numbers
1st number is 26.087.
2nd number is 2.6×10=26.
3rd number is 26.079.
4th number is 2.6432×10=26.432.
5th number is 26.295.
6th number is 2.6803×10=26.803.
Now, we write in ascending order
26, 26.079, 26.087, 26.295, 26.432, 26.803.
Therefore, the order of the number from least to greatest is 26, 26.079, 26.087, 26.295, 26.432, 26.803.
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MIRA 5(=2)-3(x-2) 5x=10-3x + 6 2x=4Mira and Vernon are simplifying the expression 5(x-2)-3(x-2). Who's process is correct, Mira, Vernon, or both?
Answer:
Mira is correct
Step-by-step explanation:
She did all the steps and Vernon skipped some so u dont rlly understand what he did u could lose points if it was an exam for example
Classify the equation 4x+2=4x+2 as having one solution,no solution or infinite many solutions.
Answer:
Infinite many solutions
Step-by-step explanation:
4x + 2 = 4x + 2
-4x -4x
----------------------
2 = 2
or
4x + 2 = 4x + 2
-2 -2
-----------------------
4x = 4x
Infinite many solutions
I hope this helps!