Answer & Step-by-step explanation:
[tex]8.5x-6.1=-7.1[/tex]
Add 6.1 to both sides:
[tex]8.5x-6.1+6.1=-7.1+6.1\\\\8.5x=-1[/tex]
Isolate the variable x. Divide both sides by 8.5:
[tex]\frac{8.5x}{8.5} =\frac{-1}{8.5}\\\\ x=-\frac{1}{8.5}[/tex]
Round to the nearest tenth. Simplify division:
[tex]-\frac{1}{8.5}=-0.11764705...=-0.1[/tex]
So, x≈-0.1
:Done
The diagram represents three statements about animals at the zoo: p, q, and r. For how many animals is (p ∨ q) ∧ r true? 15 17 20 22
Answer:
It is 15
Step-by-step explanation:
A. on edge
Total number of animals for which (p ∪ q) ∩ r is true is 15.
What is meant by union of sets?
The set that contains all the elements present in both sets is the union of the two supplied sets.
Here,
It is given that,
Set p is {2, 5, 8, 9}
Set q is {2, 4, 7, 5}
Set r is {2, 4, 6, 9}
The union of p and q, which includes all creatures that are in p, in q, or in both p and q, is known as p ∪ q.
p ∪ q = {2, 4, 5, 7, 8, 9}
The creatures that must be present in both (p and q) and r are contained in (p ∪ q) ∩ r.
So, (p ∪ q) ∩ r = {2, 4, 9}
Therefore,
2 + 4 + 9 = 15
Hence,
Total number of animals for which (p ∪ q) ∩ r is true is 15.
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Attaching the image file here.
A football game sells admission tickets for $6.00 on Friday
nights. At capacity, the stadium holds 650 people. The
function F(p)-6p represents the amount of money the
stadium takes in on Friday night, where p is the number of
people. What is the domain of F(p) in this context? Fill in the
blanks of the domain in interval notation,
*ONLY INPUT NUMBERS
The Domain is [ , ]
The domain of a function is the input value.
In the above formula the domain would be the value of p, which is the number of people at the game.
The capacity of the stadium is 650 people, so they can have anywhere from 0 people to 650 people at the game.
The domain would be [0,650]
Answer:6.00
Step-by-step explanation:
yes
conjecture the next number in the sequence 20 18 15 11 6
Answer:
0 it went minus 2 minus 3 minus and so forth
Let f(x) = 2x + 2. Solve f−1(x).
Answer:
f^-1(x) = x/2 -1Step-by-step explanation:
[tex]f(x) = 2x + 2\\\\f^-^1 (x) = ?[/tex]
Let y equal to the given equation ;
[tex]y = 2x+2\\[/tex]
Solve for x ;
[tex]y-2 = 2x\\Divide \:both\:sides\:of\:the\:equation\:by \:2\\\\\frac{y}{2} - \frac{2}{2} = \frac{2x}{2} \\\\\frac{y}{2} -1 =x\\\\x = \frac{y}{2} -1[/tex]
Change the y back to x
[tex]x = \frac{x}{2} -1 \\\\f^-^1(x) = \frac{x}{2} -1[/tex]
A square has an area of 150 square centimeters. Which of the
following measures is closest to the length of one of its sides?
11.8 cm
B
12.2 cm
C 12.7 cm
D
13.5 cm
Answer:
C) 12.2 cm
Step-by-step explanation:
To find the area of a square, you multiply length and width, which for a square, are the same. So to find the length of one of its sides, you have to take the square root of the area.
[tex]L^{2} = 150\\\\L=\sqrt{150} \\L= 12.2\\[/tex]
A classroom has 12 juniors and 23 seniors. There are no other students in the
class. What percentage of the students are seniors?
Answer:
66%
Step-by-step explanation:
To find the percentage, we can use this formula:
Part/Whole
In this case, the Part=Seniors and Whole=All of the students in the class
Part/Whole
23/(23+12)
=23/35
=0.65714
=0.66
=66%
Find the area of this parallelogram.
8.9 cm
7.1 cm
11.4 cm
==================================================
Work Shown:
Area of parallelogram = base*height
Area of parallelogram = 11.4*7.1
Area of parallelogram = 80.94 square cm
-------------
notes:
The base and height always form a 90 degree angle (as shown by the small square marker).The side length of 8.9 cm is never used.We can write "square cm" as "cm^2" or [tex]\text{ cm}^2[/tex]Answer:
80.94Step-by-step explanation:
[tex]A = b \times h\\b = 11.4\\h = 7.1\\\\A = 11.4\times 7.1\\\\Area = 80.94[/tex]
I need help! Please help asap this was supposed to be due yesterday!
Effects of Shifting, Adding, and Removing Data
3. Kay owns a small business that employees 6 other people. Kay makes $90,000 per year, and the other 6 employees make between $45,000 and $60,000 per year. Kay decided to increase her salary by $20,000 and leave the rest of the salaries the same. How will increasing her salary affect the mean and median?
• Both the mean and median will increase .
• The mean will increase, and the median will stay the same.
• The median will increase, and the mean will stay the same.
• The mean will increase, and the median will decrease.
Answer: B) The mean will increase and the median will stay the same.
======================================================
Explanation:
Let's look at a small example of why this works.
Suppose that we had the set of 5 items {1,2,3,4,5}. The value 3 is right in the middle so this is the median. The mean is also 3 because adding all the values gets us 15 and then we divide over 5 (the number of items in the set) to get 15/5 = 3.
For any symmetric set of data like this, the mean and median are the same value.
Now let's change that last item 5 to something larger. Let's bump it up to 10
The new data set is {1,2,3,4,10}. The median is still 3 as it's still in the middle. But now the mean is (1+2+3+4+10)/5 = 20/5 = 4. The old mean was 3, and the new mean is 4. So we have the mean increased thanks to that 5 increasing to 10.
We could increase 10 to 20 getting {1,2,3,4,20}. The median is still the same. The mean is now (1+2+3+4+20)/5 = 30/5 = 6. So we've increased the mean again. This process can be continued on for as long as you like.
The outliers to the right hand side effectively pull on the mean in a similar analogy to how gravity pulls on an object. So this is one way to remember that the mean is effected by outliers. The median only cares about being in the middle so that's why it doesn't change. If we changed the number of items in the data set, then it's a different story. However, Kay is only changing her salary rather than bring on a new hire (or two).
So that small example can be applied to Kay's situation even though the numbers are much larger. The median stays the same, but Kay's (much) higher salary pulls on the mean to make it larger than it should be. This is often why a trimmed mean is used when looking at centers of data sets. For data sets that have very large outliers, the median is the more reliable measure of center.
Mohammed and luigi were printing calendars. Mohammed used 3 1/2 ink cartridges while Luigi used 1 3/4 ink cartridges. How many more ink cartridges did Mohammed use than Luigi
Step-by-step explanation:
Mohammed used 3 1/2 ink cartridges = [tex]\dfrac{7}{2}[/tex]
Luigi used 1 3/4 ink cartridges = [tex]\dfrac{7}{3}[/tex]
It means that Mohammed used more ink cartridges than Luigi. The more amount is calculated as follows :
[tex]\dfrac{7}{2}-\dfrac{7}{3}=\dfrac{7\times3-7\times 2}{6}\\\\=\dfrac{21-14}{6}\\\\=\dfrac{7}{6}[/tex]
So, [tex]\dfrac{7}{6}[/tex] more ink cartridges Mohammed used than Luigi.
Answer: Switch steps 2 and 3.
explanation: Have a good day stay safe
what does x equal in the equation − 6 x − 15 = 4 x + 35?
Answer:
x = -5
Step-by-step explanation:
− 6 x − 15 = 4 x + 35
Add 6x to each side
− 6 x+6x − 15 = 4 x+6x + 35
-15 = 10x+35
Subtract 35 from each side
-15-35 = 10x+35-35
-50 = 10x
Divide each side by 10
-50/10 = 10x/10
-5 =x
Answer: x = -5
Step-by-step explanation:
In order to solve this problem, you need to isolate the variable.
In this problem, you need to isolate the x.
-6x -15 = 4x +35
10x = -50
x = -5
A triangle has a base of 10 cm its other sides are both 13cm long calculate the area
Answer:
60 cm^2
Step-by-step explanation:
Factor (x^2+y^2-z^2)^2-4x^2y^2 as the product of four polynomials of degree 1, each of which has a positive coefficient of x.
Is the ratio 5:6 equivalent to 3:4
We can write the given expression as -
(x² + y²)(x² + y²- 2z²) + z² - 4x²y²
What is factorization?Factors of a number are numbers that divide evenly into another number. Factorization writes a number as the product of smaller numbers
Given is the expression -
{(x² + y²) - z²}² - 4x²y²
(x² + y²)² + z² - 2(x² + y²)z² - 4x²y²
(x² + y²) {(x² + y²) - 2z²} + z² - 4x²y²
(x² + y²)(x² + y²- 2z²) + z² - 4x²y²
Therefore, we can write the given expression as -
(x² + y²)(x² + y²- 2z²) + z² - 4x²y²
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Ashlynn, Troy, and Edwin had a challenge to see who could run the farthest in a month. Ashlynn ran 19
miles. Troy ran 3 times as many miles as Edwin, and Edwin ran 4 times as many miles as Ashlynn. How
many miles did Troy run?
Answer:
Troy ran 228 miles.
Step-by-step explanation:
Ashlynn (a) ran 19 miles. Troy (t) ran 3 times as many miles as Edwin, and Edwin (e) ran 4 times as many miles as Ashlynn.
So,
a=19
E=a•4
t=e•3
Knowing a=19, we can solve the first equation. e=19•4, 19•4=76 so e=76
Knowing e=76 we can solve the second equation t=76•3, 76•3=228 so t=228
Answer:
Ashlynn is my name!
Step-by-step explanation:
3/20 convert it to decimal and percentage 62.5% convert it to decimal and fraction
[tex]\huge{\underline{\mathfrak{Question:-}}}[/tex]
» [tex]\dfrac{3}{20}[/tex] convert it to decimal and percentage 62.5% convert it to decimal and fraction.
[tex]\huge{\underline{\mathfrak{Solution:-}}}[/tex]
For converting [tex]\dfrac{3}{20}[/tex] into decimal simply divide 3 by 20= [tex]\dfrac{3}{20}[/tex]
= 3 ÷ 20
= 0.15
Now,
For the second part , let us convert the fraction 62.5% into decimal firstWe know that,
Any number in percentage like, 62.5% can also be written as [tex]\dfrac{625}{100}[/tex]It comes up simple now, divide 625 by 100 to obtain the decimal= 62.5%
= [tex]\dfrac{625}{100}[/tex]
= 6.25
Here, now for the fraction one,
We already have our [tex]\dfrac{625}{100}[/tex]Just make it to it's simplest form= [tex]\dfrac{625}{100}[/tex]
= [tex]\dfrac{625÷5}{100÷5}[/tex]
= [tex]\dfrac{125÷5}{20÷5}[/tex]
= [tex]\dfrac{25}{4}[/tex]
And, the answer in fraction comes [tex]\dfrac{25}{4}[/tex]
_______________________Answer:1. 0.15
1. 15
2. 0.625
2. 5/8
Step-by-step explanation:
Which is the best estimate of StartFraction 90 over 7 EndFraction divided by 1 and three-fourths? 2 6 12 24
Answer:
The answer is 6!
Step-by-step explanation:
The best estimate of Start Fraction 90 over 7 End Fraction divided by 1 and three-fourths is 6 so, option B is correct.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.
Given:
Start Fraction 90 over 7 End Fraction divided by 1 and three-fourths,
Write the above phrase in mathematical form as shown below,
90 / 7 ÷ 1 3 / 4
convert the mixed fraction into improper fraction as shown below,
90 / 7 ÷ 4 + 3 / 4
90 / 7 ÷ 7 / 4
90 / 7 × 4 / 7
360 / 49
7.346
The nearest value in the option is 6.
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Holly says 4.131131113... is a rational number. Which of the following best describes whether Holly is correct and why?? a.Holly is correct. Repeating decimals are always rational numbers. b.Holly is correct. The number is positive and all positive numbers are rational. c.Holly is incorrect. The decimal does not terminate, so it cannot be a rational number. d.Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
Answer:
Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
so D is the correct option
Step-by-step explanation:
The numbers follow a pattern but if you take a closer look you will see that the numbers do not repeat even though they still use the numbers 1, and 3 doesn't mean there a rational number.
Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
What is a rational number?The numbers follow a pattern but if you take a closer look you will see that the numbers do not repeat even though they still use the numbers 1, and 3 doesn't mean there is a rational number.
If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
Hence, the decimal part follows a pattern but does not actually repeat.
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Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (w.y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y)
midpoint (2.2), endpoint (1. - 2)
The other endpoint is
Answer:
(3,6)Step-by-step explanation:
Given two coordinates (x₁,x₂) and (y₁,y₂), their midpoint (w,y) is expressed as:
M(X,Y) = [tex](\dfrac{x_1+w}{2}, \dfrac{y_1+y}{2})[/tex]
From the question, we are given the midpoint (X,Y) to be (2,2) and one endpoint as (1, -2) and we are to find the other end point expressed as (w,y). From the coordinates given, i can be seen that X = 2, Y =2, x₁ = 1 and y₁ = -2
Substituting the given end points into the given formula to get the other end points, we will have;
[tex]X = \dfrac{x_1+w}{2} \\2 = \dfrac{1+w}{2} \\cross\ multiply\\4 = 1+w\\w = 4-1\\w = 3[/tex]
Similarly;
[tex]Y = \dfrac{y_1+y}{2} \\2 = \dfrac{-2+y}{2} \\cross\ multiply\\4 = -2+y\\y = 4+2\\y = 6[/tex]
Hence the other endpoint (w, y) is (3,6)
is 74/100<8/10 < 6 tens?
Answer:
No
Step-by-step explanation:
Alrighty let's put this in decimal mode
.74<.80<.60
this statement is false considering .80 is not greater than .60
You are selling boxes of candy for $3 a box for your school fundraiser. Write a function for the revenue, R, you have earned based on the number of boxes of candy, c, that you have sold. You must use function notation.
Answer:
c x 3 = ?
Step-by-step explanation:
you would get how many boxes you have solded then multiply it by 3
we are using c for boxes of candy.
The notation will be 3 × c = R .
A candy is being sold at $3 for school fundraiser.
If c is no. of boxes of candy then we have to find Revenue R.
What will be the value of 10 pens if one pen costs $3 ?
The cost of 10 pens will be 10 × 3 = $ 30 .
As per the question ;
Price at which candy is being sold is $3 per box.
So ,
price of 1 box = $3
price of c boxes = 3 × c
This is equal to total revenue from school fundraiser.
i.e., 3 × c = R
Thus , the notation will be 3 × c = R .
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Assets- an item of value that you OWN_______________
Write m = 21 - 72i as an ordered pair in an Argand diagram.
Answer:
m = 21 - 72·i in an ordered pair = (21, -72)
Step-by-step explanation:
Graphing complex numbers involves the application of the methodology of graphing real numbers on the coordinate plane in addition to the Argand coordinate plane to form the complex coordinate plane, such that where the complex number is of the form a + bi, the real part of the complex number, a, is taken as the x-coordinate value while the imaginary part, b, is taken as the y-coordinate value
As such to represent the complex number as an ordered pair, we have;
a + bi is equivalent to (a, b)
Therefore;
To write the complex number, m = 21 - 72·i as an ordered pair in an Argand diagram, we have;
m = 21 - 72·i in an ordered pair = (21, -72).
what is the image of (-2, 3) after a rotation of 90 degrees counterclockwise?
Answer:
-3,-2
Step-by-step explanation:
Evaluate: 50 + 6(12 + 4) – 82.
Answer:
14
Step-by-step explanation:
Follow DMAS formula:
DMAS rule is followed when multiple arithmetic operations are there in a given problem like addition, subtraction, multiplication and division. It tells they should be performed in order of Division, Multiplication, Addition and Subtraction.
=50+6*3 -82
=50+18-82
=68-82
=14
Answer:
64
Step-by-step explanation:
PEMDAS
6(12+4) distribute the 6 to the numbers inside
96
50+96-82
50+96= 146
146-82 = 64
8. Is it possible for a piece of cork to have a greater density than a piece of rock? Describe why or
why not.
Answer:
No
Step-by-step explanation:
The rock has more mass and will therefore always have greater density than a piece of cork. This is also due to the atomic structure of the elements, molecules, and compounds that make it up.
I need help on an easy question. Whats the answer? Please?
Answer:
C
Step-by-step explanation:
Let's go through each of the answer choices:
I) All real numbers are rational numbers.
This is immediately proven false by irrational numbers: real numbers that are not rational. Examples include π or √2.
II) Zero is an integer number.
This is true. Integers include the set of whole numbers, which includes 0.
III) All counting numbers are whole numbers.
This is true. Whole numbers (0,1,2,3...) is basically the counting numbers (1,2,3,...) but with 0.
IV) Irrational Numbers are not real numbers.
This is false. Real numbers can be divided into two subsets: irrational and rational.
So, our answer is C :)
Please fast
Silakan
Answer:
the answer is 22/9 .
Step-by-step explanation:
convert the mixed fractions into improper fractions and then divide the ratios
Kelsey makes pendants that she would like to sell at an upcoming craft fair. She must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants. Part A (first text box) Write and solve an inequality to show how many pendants Kelsey should make. Show the steps of your solutions. Part B (second text box) Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit? Answer in a complete sentence.
Answer:
Additional 26 pendants are to be sold to make profit.
Step-by-step explanation:
Rent of booth at the craft fair = $200
Cost of material for each pendant = $7.80
Let Kelsey makes [tex]x[/tex] number of pendants.
To calculate the total spending, we have to add the rent of booth at the craft fair and cost of material for [tex]x[/tex] number of pendants.
Cost of material for [tex]x[/tex] number of pendants = Cost of material for each pendant multiplied by number of pendants
Cost of material for [tex]x[/tex] number of pendants = $7.80 [tex]\times[/tex] [tex]x[/tex]
So, total cost = $200 + $7.80 [tex]\times[/tex] [tex]x[/tex]
Now, each pendant is sold at $13.50
So, total money made by selling [tex]x[/tex] pendants = $13.50 [tex]\times[/tex] [tex]x[/tex]
For making profit, total money made must be greater than the total cost.
Therefore, the inequality becomes:
[tex]\bold{13.50 \times x > 200+7.80\times x }[/tex]
Let us solve the inequality now:
[tex]13.50x - 7.80x>200\\\Rightarrow 5.7x > 200\\\Rightarrow \bold{x > 35.08}[/tex]
So, at least 36 pendants are to be sold to make a profit.
Additional 36-10 = 26 pendants are to be sold to make profit.
Erin mixed 2.69 grams of salt into a pot of soup she was cooking. Before she served the soup, Erin added 0.7 grams of salt. How much salt did Erin put into the soup in all?
Answer:
3.39g
Step-by-step explanation:2.69+0.7=3.39g
simplifty the expression -3.4x - 5.7x + 4
Answer:
Hey there!
-3.4x-5.7x+4
-9.1x+4
Let me know if this helps :)
Star A is 5.23\times10^75.23×10 7 light years away from Earth, while Star B is 7.1\times10^57.1×10 5 light years away. Which star is closer to Earth?
Answer:
Star B
Step-by-step explanation:
If Star A is 5.23*10^7 light years away from earth, and star B is 7.1*10^5 light years away from earth, then the closest Star to earth is Star B.
this is because a light year is 9.461*10^15 m away, if we multiply this, then Star A is 4.948*10^23 m away from earth, and Star B is 6.717*10^21 m away from earth, and this makes it closer when compared to Star A.