Answer:
A set is well-defined so that we can always tell what is and what is not a member of the set
Sales at LL Boutique decreased 10% this month compared to last month. If sales this month were $157,581, what were the sales (in $) last month?
Answer:
173, 339.10
Step-by-step explanation:
Move the decimal from 157,581.00 to the left to give you 10% of 15,758.10.
Add 15,758.10 to 157,581.00 to give you the total from last month.
Or, convert 10% to a decimal.
157,781 x 0.10 = 15,758.10
15,758.10 + 157,581 = 173,339.10
four more than five times x is the same as x increased by 26
Four more than five times x is the same as x increased by 26. The value of x is x=5.5
Given information can be written in the form of algebraic equation is :
5x+4=x+26
5x-x=26-4
4x=22
x=5.5
The equal to (=) symbol is used to unite two algebraic expressions to form an algebraic equation. Because polynomials are included on both sides of the equal sign, algebraic equations are sometimes referred to as polynomial equations. Variables, coefficients, constants, and algebraic operations like addition, subtraction, multiplication, division, and exponentiation are all components of an algebraic equation.
A mathematical statement with two equal algebraic expressions is called an algebraic equation. When P and Q are polynomials, the usual form of an algebraic equation is P = 0 or P = Q. Equations in algebra with only one variable are referred to as univariate equations, whereas equations with several variables are referred to as multivariate equations. The solution of an algebraic problem is always balanced.
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Answer two questions about systems a and b: ​ x−7y=−3 4x y=7 ​ ​ 4x y=7 x−7y=−3 ​
our ordered pair is ( 2 , 1/2).
What is linear equations in two variables?
If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.Let's first move the y's to the left side in the first equation.
4x - y = 3y + 7
4x - 4y = 7
Dividing both sides by 4,
x - y = 7/4
Our other equation is
x + 8y = 4
Subtracting the first equation from the second, we get
9y = 9/4
y = 1/4
We plug this into one of the equations
x + 2 = 4
x = 2
So our ordered pair is ( 2 , 1/2)
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Scatter plots are used to visualize association in samples of paired data (x, y). group starts
a. true
b. false
Rewrite in the distributive property, please?
-3(5x-10)
Answer: -15x+30
Step-by-step explanation:
-3(5x-10)=
-3*5x-10(-3)=
-15x-(-30)=-15x+30
Answer:
-15x-30
Step-by-step explanation:
Just multiply -3 by 5 in 5x and get -15 and then put x back with -15. thhen multiply -3 by 10 and get -30
There are two types of memberships for a book club
- an unlimited use of memebership for $50 per month or
- a monthly fee if $5 per book
Enter an equation needed to determine how many books in a month are needed for both plans to cost the same?
Answer:
9 books are needed for the plans to cost the same
Step-by-step explanation:
50 = 5 + 5x
45 = 5x
x = 9
help needed. with show work
The answer to 5√12 × √7, given in its simplest form, is t√√u, where t and u are integers.
Calculate the values of t and u.
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form: 10√21 where t = 10 and u =21
Please help me for scale factors
Answer:
91/7=13
so x=11×13
x=143
Ricky has some cookies. he ate 1/8 of his cookies and an additional 14 cookies on friday. he then ate 3/10 of the remaining cookies and an additional 24 cookies on saturday. he ate 40 cookies on sunday and had 34 cookies left. how many cookies did ricky have at first?
Ricky had 176 cookies initially
Let Ricky has x number of cookies
Cookies left after he ate 1/8 of his cookies and additional 14 cookies:
x - (1/8x + 14)
Cookies left after he ate 3/10 of the remaining cookies and an additional 24 cookies on Saturday:
x - (1/8x + 14) - 3/10(x - (1/8x + 14)) + 24)
Cookies left after he ate 40 more cookies on Sunday
x - (1/8x + 14) - 3/10(x - (1/8x + 14)) + 24) - 40 ------(1)
Cookies left with him at the end = 34
Therefore, equating equation (1) with 34
(7/10)((7x/8) - 14) - 64 = 34
x = 176
Thus Ricky had 176 cookies intially
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can someone help, fasttt!
Answer:
(2/3)^4 = 2^4/3^4
(2/3)^1 = 2/3
(-3/4)^0 = 1
(-0.4)^8/(-0.4)^4 = (-0.4)^4
Step-by-step explanation:
(2/3)^4 = 2^4/3^4
(2/3)^1 = 2/3
(-3/4)^0 = 1
(-0.4)^8/(-0.4)^4 = (-0.4)^4
Round 452,906 to the nearest hundred.
Answer : 500,000 450,000 453,000 452,900 452,910 step-by-step explanation:
look to the right one digit of the place they are asking to round . if it is either greater than or equal to5, then you round up the place they want. if it is not, then it says the same. then all he number to right of it becomes 0s.
Iron has a density of 7.9 g/cm³. Gold has a density of 19.3 g/cm³.
I have a piece of metal that has a volume of 200 cm³ and a mass of 3.86 kg. Is it gold or iron?
What's the Gcf of 16,44, and 28 (greatest common factor)
Answer:
4
16 / 4 = 4
44 / 4 = 11
28 / 4 = 3
easy
The Florida Fish and Wildlife Conservation Commission is conducting a study on wildlife patterns and behaviors in a specific area of the Florida
Everglades. A stationary camera is placed where the area being observed can be filmed and recorded for 96 hours. Researchers found that the footage
revealed that the Cape Sable Seaside Sparrows were observed in the area once every 4 hours and the Florida Leafwing Butterfly was observed in the
area once every 9 hours. What is the least amount of hours of footage the observers need to review to see the Cape Sable seaside sparrow and the
Florida leafwing butterfly in the area at the same time?
96
36
4
9
The least amount of hours of footage the observers need to review to see the Cape Sable seaside sparrow and the Florida leafwing butterfly in the area at the same time is B. 36 hours.
What is the least common multiple?The least common multiple (LCM) is the smallest multiple of two or more numbers.
The LCM of 9 and 4 is 36 (4 x 9).
Data and Calculations:The total number of hours of filming and recording by the stationary camera is 96.
The regularity of observing the Cape Sable Seaside Sparrows = every 4 hours
The regularity of observing the Florida Leafwing Butterfly = every 9 hours
Using their LCM as 36,
The Cape Sable Seaside Sparrows will be observed 9 times when they meet the Florida Leafwing Butterfly at its 4th observation.
Thus, the least amount of hours of footage the observers need to review to see the Cape Sable seaside sparrow and the Florida leafwing butterfly in the area at the same time is B. 36 hours.
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[tex]\sqrt[3]{x} = 3[/tex]
Answer:
x = 27
Step-by-step explanation:
You need to cube each side.
[tex]\sqrt[3]{x} ^{3}[/tex] = [tex]3^{3}[/tex]
x = 27
There are 38 pencils in the drawer. Sam took 24
pencils from the drawer. How many pencils are now in the drawer ?
Answer: 14
Step-by-step explanation:
simplify. -2(7-n) +4
Answer:
-2(7+2n) +4 = 5
step by step explantation:
-2(7-n) +4
-2×7 =-14
-2x-n = 2n
14+2n = 4
2n = 14 - 4
2n/ 2= 10/2
n= 5
twice a number increased by three is between negative three and seven
The number can be -3, -2, -1, 0 ,1
Here, we are given that twice a number is increased by three and the result is between negative three and seven.
Let the number be x
Twice of the number = 2x
Four more than twice the number = 2x + 4
This number is between -3, 7
⇒ -3 < 2x +4 < 7
subtracting 4 from both sides we get
-3 -4 < 2x < 7 - 4
-7 < 2x < 3
Dividing both sides by 2 we get
-7/2 < x < 3/2
- 3.5 < x < 1.5
Thus the original number lies between -3.5 and 1.5
This means that it can take 5 values-
-3, -2, -1, 0 ,1
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If a population has 500 individuals in it in 2010, and the per capita birth rate is 0.3 and the per capita death rate is 0.2, is the population growing or shrinking?
The population is growing as the births are more than deaths in an year.
What is Population Growth?Increases in a population's or a dispersed group's membership are referred to as population growth.
Given:
Total population = 500Per capita birth rate = 0.3Per capita death rate = 0.2To find: Is population growing or shrinking?
Finding:
Number of new-borns in an year = total population (per capita birth rate) = 500(0.3) = 150Number of deaths in an year = total population (per capita death rate) = 500(0.2) = 100Difference in the number of births and deaths = 150 - 100 = 50Hence the population is growing as the births are more than deaths in an year.
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The formula for simple interest is I=Prt.
a. Solve the formula for t.
t= ___
b. Use the new formula to find the value of t in the table.
The value of t in the table is____years.
a. The formula solved for t is t = I/Pr
b. The value of t in the table is 3 years
Simple InterestFrom the question, we are to solve for t in the given formula
The given formula is the formula for simple interest
I = Prt
To solve for t, we will divide both sides of the equation by Pr
That is,
I/Pr = Prt/Pr
I/Pr = t
∴ t = I/Pr
The formula solved for t is t = I/Pr
b. We are to find the value of t when
I = $75
P = $500
r = 5% = 0.05
From
t = I/Pr
t = 75/(500×0.05)
t = 75/25
t = 3 years
Hence, the value of t in the table is 3 years
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The absolute value function is a -------- linear function.
piecewise
different
complete
negative
Opositive
Answer:
Piecewise
Step-by-step explanation:
It is basically made up of 2 linear functions
A high school has 36 players on the football team. the summary of the players' weights is given in the box plot. what is the interquartile range of the players' weights?
The interquartile range of the players' weights = 48 pounds.
The boxplot attached to this question is missing. It was obtained online and is attached to this solution of the question.
It should be noted that the following is true for a boxplot.
A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.
The elements of the box plot are described thus;
The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.
The horizontal line inside the box is the median.
The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.
Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.
So, it is evident that for this question,
First quartile = 174 pounds
Third quartile = 222 pounds
Inter Quartile Range = (Third quartile) - (First quartile)
= 222 - 174
= 48 pounds.
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A basic slime recipe calls for 1 part borax, 24 parts white glue, and 48 parts water. The relationship between borax, white glue and water is proportional. If Catalina has 3 tablespoons of borax and will use it all, how many cups of white glue will she need
Answer:
I am more on the sure side it's 8
Step-by-step explanation:
And if it isn't im so so sorry
what is the formula of (a+b)²
Hey there!
Finding the the answer to the [Binomial]
(a + b)^2
CONVERT:
= (a + b)(a + b)
DISTRIBUTE
= a(a) + a(b) + b(a) + b(b)
= a^2 + ab + ab + b^2
COMBINE the LIKE TERMS
= (a^2) + (ab + ab) + (b^2)
= a^2 + ab + ab + b^2
= a^2 + 1ab + 1ab + b^2
= a^2 + 2ab + b^2
Therefore, your answer should be:
a^2 + 2ab + b^2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
In the word grapefruit the ratio of vowels to consonants is 2:3 .find the ratios of vowels to consonats in the word pineapple and strawberry. give each ratio in its simplest form.
Answer:
48 because of the vowels it became 48 .
Step-by-step explanation:
I Quesliod. Make sure you start new workings. In the word grapefruit, the ratio of vowels to consonants is . Find the ratios of vowels to consonants in the words pineapple and strawberry. Give each ratio in its simplest form. grapefruit Vowels :Consonants Remember: vowels are a, e, i, o, u
9x+1-x^2
write in standard form
Answer:
−[tex]x^{2}[/tex] + 9x + 1
Step-by-step explanation:
Type the expression that results from the following series of steps:
Start with
n
, add 5, multiply by 4, then subtract 7.
Answer:
n + 5 x 4 - 7
Step-by-step explanation:
Answer:
4(n+)7
Step-by-step explanation:
n+5
(n+5) x 4 = 4 ( n + 5)
4( n+5)-7
let f(x)= 7x-2 and g(x)= sqrt (x) + 2x. what are (f+g)(x) and (f-g)(x)?
Answer:
• [tex](f+g) (x)[/tex] = [tex]9x + \sqrt{x} -2[/tex]
• [tex](f-g)(x)[/tex] = [tex]5x - \sqrt x - 2[/tex]
Step-by-step explanation:
[tex]f(x) = 7x - 2[/tex]
[tex]g(x) = \sqrt{x} + 2x[/tex]
To calculate [tex](f+g) (x)[/tex] and [tex](f-g)(x)[/tex], we have to add and subtract [tex]f(x)[/tex] and [tex]g(x)[/tex] respectively:
• [tex](f+g) (x)[/tex]
⇒ [tex]f(x) + g(x)[/tex]
⇒ [tex]7x - 2 \: + \sqrt{x} + 2x[/tex]
⇒ [tex]9x + \sqrt{x} -2[/tex]
• [tex](f-g)(x)[/tex]
⇒ [tex]7x - 2 - (\sqrt x + 2x)[/tex]
⇒ [tex]7x - 2 - \sqrt x - 2x[/tex]
⇒ [tex]5x - \sqrt x - 2[/tex]
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What is the measure of angle x?
Enter your answer in the box.
Answer:
43
Step-by-step explanation: