if the lines are parallel the slopes are the same so m=5
the equation of a line given the slope and a point is
y-y1 = m(x-x1)
y-14= 5(x-2)
y-14 = 5x-10
y=5x+4
What is the least common denominator for the fractions 1/3 and 2/9
the LCD of the two is 9 what you do is this so 1/3,2/9 is simple its 1/3 2/3 1 then lets try the 2/9 2/9 4/9 6/9 and keep doing that until they both reach the SAME number.
The LCD (Least common denominator) is 9,
For the denominators (3, 9) the least common multiple (LCM) is 9.
Therefore, the least common denominator (LCD) is 9.
Hope This Helps :D
A bookstore manager marks down the price of older hardcover books,which originally sell for b dollars,by 46 percent. What is the markdown as a decimal. Write an expression for the sale price of the hardcover book. What is the same price of a hardcover book for which the original retail price was $29.00? If you buy the book in part c, how much do you save by paying the sale price?
We are given original selling price of book = $b.
Price is marked down by 46%.
46% can be written as 46/100 in decimals it would be 0.46.
Therefore, markdown as a decimal is 0.46
Now, markdown is 0.46 of original price = 0.46b
Therefore, new price after marked down can be written by expression =
b - 0.46b = 0.56b.
Therefore, the expression for the sale price of the hardcover book is 0.56b.If original retail price was = $29.00.
The sale price would be 0.56b = 29*0.56 = $15.66.
Total saving = 29-15.66 = $13.34.
Therefore, you save $13.34 by paying the sale price $15.66.
Where does 56 come from ?
The number a times 10 to the power of negative 2 is about 8 times greater than b times 10 to the power of negative 3. Find the correct value of a and b.
A. a = 3.1 and b = 2.5
B. a = 2.5 and b = 3.1
C. a = 2 and b = 1.2
D. a = 1.2 and b = 2
Answer:
c
Step-by-step explanation:
The correct values of a and b are a = 3.1 and b = 2.5, which corresponds to option A.
To solve the question, we need to set up an equation using the information given. Here's a step-by-step explanation:
a * 10^-2 = 8 * b * 10^-3Divide both sides by 10^-3 to simplify the equation: a * 10 = 8 * bPlugging in the values for a and b from option A, we get 3.1 * 10 = 8 * 2.5, which is true.Therefore, a = 3.1 and b = 2.5, matching option A.What’s is 38 divided by 100
38 divided by 100
what you could do is that 38 in decimal form will be 38.00
So,...
38.00 divided by 100
when you divided by 10 or 100 or 1,000 or etc.
all you have to do is move the decimal from 38.00 to the left 2 times
(because there are only 2 zeros in 100)
and your answer will be 0.38
38 divided by 100 = 0.38
hope that helps
Y - 3 = 4(x + 12) slope and y intercept
The y-intercept will be (0,51)
In case, if you want the x-intercept it will be (-51/4,0)
round to the nearest hundredth 3.2649
The answer is 3.26 :D :D :D :D
The answer to rounding the number 3.2649 to the nearest hundredth is 3.26. You need to consider the digit in the thousandths place to determine if you round up or down.
Explanation:To round the number 3.2649 to the nearest hundredth, you will need to look at the digit in the thousandths place, which is 4 in this case. In rounding, if the digit is 5 or more, you round up, else you round down. Here it is 4, it's less than 5, so we round down. So, the number 3.2649 when rounded to the nearest hundredth is 3.26.
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1. If ΔMNO≅ΔGHI, then which of the following is NOT true? A. ΔMON≅ΔGIH B. OM=IG C. ΔHIG≅ΔNMO D. ΔIHG≅ΔONM E. ∠GHI≅∠ONM
If ƒ( x )= 2 x 2 + 3, then ƒ( x - 1)= 2 x 2 + 4 x + 5.
True or False
The value of function f(x - 1) = 2x² + 4x + 5 is not true.
Here,
The function is given as;
f (x) = 2x² + 3
And, f(x - 1) = 2x² + 4x + 5
We have to check the value of f(x - 1) is true or not.
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Now,
The function is;
f (x) = 2x² + 3
To determine the value of f (x - 1), we can put (x -1) in place of x as;
f (x) = 2x² + 3
f (x - 1) = 2(x - 1)² + 3
f (x - 1) = 2(x² + 1 - 2x) + 3
f (x - 1) = 2x² + 2 - 4x + 3
f (x - 1) = 2x² - 4x + 5
Hence, The value of function f(x - 1) = 2x² + 4x + 5 is not true.
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D-I are the measurements of the lengths of the sides of triangles. Identify the types of triangles.
d. 45 cm 61 cm 60 cm
e. 30 cm, 31cm, 30 cm
f. 4 cm, 5ft, 4 cm
g. 89mm, 89mm, 89mm
h. 9 in, 5in, 3 in
i. 22cm, 22cm, 22in
The types of triangles are:
d. Scalene
e. Isosceles
f. Isosceles
g. Equilateral
h. Scalene
i. Equilateral
Here's the type of triangle for each set of measurements:
d. 45 cm, 61 cm, 60 cm:
All sides are different lengths.
Therefore, this is a scalene triangle
e. 30 cm, 31cm, 30 cm:
Two sides have equal lengths (30 cm).
This is an isosceles triangle
f. 4 cm, 5ft, 4 cm:
We need to convert feet to the same unit as cm for comparison.
1ft = 12 inches = 2.54 cm
5ft = 5 * 2.54 cm ≈ 12.7 cm
We have two sides with equal length (4 cm) and one different length (12.7 cm).
This is also an isosceles triangle
g. 89mm, 89mm, 89mm:
All three sides have the same length.
This is an equilateral triangle, a special type of isosceles triangle where all sides are equal.
h. 9 in, 5in, 3 in:
All sides have different lengths.
This is a scalene triangle
i. 22cm, 22cm, 22in:
We need to convert inches to centimeters for comparison.
22in = 22 * 2.54 cm ≈ 55.88 cm
Comparing the converted lengths, we see all sides have equal lengths.
This is an equilateral triangle
The scale says a patient weighs 70kg.this is the same as weight how many pounds
Answer:
154 LBS
Step-by-step explanation:
1 KG = 2.2 LBS
70 KG X 2.2 = 154
To convert kilograms to pounds, you divide the weight in kilograms by 0.4536. So, a person weighing 70 kg would weigh approximately 154.32 lbs.
Explanation:The subject you're asking about is conversion from kilograms to pounds. A weight of 1 lb is equivalent on Earth to a mass of 0.4536 kg. So, to convert kilograms to pounds, you would divide the weight in kilograms by the equivalent mass of 1 pound in kilograms.
For example, a person weighing 70 kg would weigh approximately 154.32 pounds. This was calculated by dividing 70 kg by 0.4536 kg per pound (70/0.4536 = 154.32 pounds). It's important to note that while weight can vary slightly depending on location due to differences in gravitational pull, this conversion factor still provides a good estimation for most common situations.
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Plot the line for the equation on the graph. y−4=−14(x−5)
Answer:
Where do I plot it
Step-by-step explanation:
Answer:
Answer: Hopefully this helps other people! :) I got it right on the test!
The number of employees of a company decreased from 225 to 189. Find the percent decrease
The number of employees at the company decreased by 16%. This was calculated by first finding the decrease in number of employees (36) and then calculating this as a percentage of the original number of employees.
Explanation:To find the percent decrease in the number of employees at the company, you need to follow these steps:
First determine how many employees there has been a decrease by subtracting the final number of employees from the original number. So 225 - 189 = 36.Next, calculate the percentage that this decrease represents out of the original number. You do this by dividing the decrease by the original number and then multiplying the result by 100 to get a percentage. So (36/225) * 100 = 16%.So the number of employees at the company decreased by 16%.
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Benito saves $6 out of every $20 he earns. He earned $90 one month. How much did he save?
Set up a proportion:
6/20 = x/90
Meaning 6 saved over 20 and x saved over 90
Cross multiply
540 = 20x
x = 27
He saved $27
Simplify 3m^2(10+m) PLEASE HELP
3m^2 (10+m)
Use FOIL
3m^2*m=3m^3
3m^2*10= 30m^2
Answer: 3m^3 + 10m^2
Solution :
Given expression [tex]3m^{2}(10+m)[/tex]
To simplify this expression, first we need to know about the Distributive property.
Distributive Property: [tex]a\times(b+c)=(a\times b)+(a\times c)[/tex]
Given expression [tex]3m^{2}(10+m)[/tex]
Applying Distributive property on this expression -
[tex]\Rightarrow 3m^{2}(10+m)=(3m^{2}\times10)+(3m^{2}\times m)[/tex]
[tex]= 30m^{2}+3m^{3}[/tex]
Simplified form of [tex]3m^{2}(10+m)[/tex] is [tex]30m^{2}+3m^{3}[/tex]
Which ordered pair is a solution of the equation Y=- 7X +2
Answer:
neither
Step-by-step explanation:
18.A ________ change occurred when a metal changed Color because it reacted with another substance.
The answer is a chemicl change.
A chemical change occured when a metal changed color because it reacted with another substance.
Miguel baked 5 loaves of bread. Each loaf required 7/8 cup of flour. How much flour dis miquel use?
In a recent year the total sales at a restaurant a bar $350,000 worth in at restaurant be. Total sales at the two stores were $575 million. What were the sales for the year at each store?
Subtract the difference from the total:
575,000,000 - 350,000 = 574, 650, 000
Divide the difference by 2:
574, 650, 000 / 2 = 287,325,000
That is the lower one, then add the difference for the higher one:
Restaurant A = $287,325,000 + $350,000 = $287, 675,000
Restaurant B = $287,325,000
Solve the system by the substitution method.
X+Y=-3
Y=-4x
x = 1, y = - 4
substitute y = - 4x into the other equation
x - 4x = - 3
- 3x = - 3 ( divide both sides by - 3 )
x = 1
substitute x = 1 into y = - 4x ⇒ y = - 4
Write An equation in slope intercept form for the line passing through each pair of points (-1,3) and (2,-5)
Slope m = y2-y1/x2-x1
Points (-1,3) and (2,-5)
M= -5-3/2-(-1)
M= -8/3
M= -8/3
Slope is -8/3
Now fill in the formula equation of a line using one if the points and slope to find b .
(2,-5) and slope -8/3
Y=mx+b
-5=-8/3(2)+b
-5=-16/3+b
-5+16/3=b
1/3=b
Now put all together
Y= -8/3x+1/3
Slope intercept form of a line is y = mx + b, where m is the slope and b is the y coordinate of the y intercept.
The easiest way to solve this problem is by using another equation for a line, also known as point slope form. This equation is best to use for a line if you have a point and slope of the line, but do not have the y-intercept.
We need to find the slope of this line passing through the pair of points (-1, 3) and (2, -5). We can do this by using the slope formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute in the appropriate coordinates.
[tex]\frac{-5-3}{2-(-1)}[/tex] = [tex]\frac{-8}{3}[/tex], so the slope of the line is -8/3.
Point slope form of a line is [tex]y-y_1=m(x-x_1)[/tex]. Substitute -8/3 for m, and use the point coordinate (-1, 3) for y1 and x1. You could use either point coordinate but I chose to use this one.
[tex]y-3= -8/3[x-(-1)][/tex]
Distribute -8/3 inside the parentheses.
[tex]y-3= -8/3x - 8/3[/tex]
Add 3 to both sides.
y = -8/3x + 1/3 is your answer (slope intercept form).
2x+5y=35 x=-10-15y. what value of x satisfies the system of equations?
what is the mean of 5,10,15,20,25
5+10+15+20+25=75
75/5=15
15 is the mean
5+10+15+20+25=75
Your mean will be 75
Then divide by 5 = 15
Your answer will be 15
erica takes a cab to meet her grandmother at a musuem. her grandmother wiill giive her a ride hime. she only has$25.05 to spend and a cab cost.$3 plus $0.35 per mile. what are rhe maximum number if miles that Erica may travel before she has to walk the rest of the way to the museum?
The maximum miles that she can travel 63 miles before she can walk.
Final answer:
By setting up an equation that accounts for the cab's base fare and the additional per mile charge, we can determine that Erica can afford to travel a maximum of 63 miles in the cab before exceeding her budget of $25.05.
Explanation:
To determine the maximum number of miles Erica can travel in a cab without exceeding her budget of $25.05, we can create an equation where the cost of the cab is equal to the base fare plus the per mile charge times the number of miles (mileage). We know the base fare is $3 and the per mile charge is $0.35. Let's denote the number of miles Erica can travel as 'm'.
The cost equation would be: Cost = Base Fare + (Per Mile Charge × Mileage)
This gives us: $25.05 = $3 + ($0.35 × m)
Subtracting the base fare from both sides gives us: $22.05 = $0.35 × m
Dividing by the per mile charge yields: m = $22.05 / $0.35
Calculating this, we get: m = 63 miles
Therefore, Erica can travel a maximum of 63 miles in the cab before she would need to walk the rest of the way to the museum to stay within her budget.
If you roll a die, what is the probability that a one will appear on top
you will have a 1 in 6 chance to roll a 1 on a die
A standard Die has 6 sides.
The probability of any number being on top is 1/6.
The probability of having a one on top would be 1/6.
Which line is a graph of the equation: 2x + 5y = –10? Number graph ranging from negative five to five on the x axis and negative six to two on the y axis. Four lines are drawn in blue on the graph. Lines a and c have a positive slope and are parallel to each other. Lines b and d have a negative slope and are parallel to each other. Lines a and b intersect at (zero, two), and lines c and d intersect at (zero, negative two). A. line a B. line b C. line c D. line d
First we find the slope of the given line by using slope intercept form.
Converting the equation into slope intercept form
[tex] 5y=-2x-10[/tex]
Divide both side by 5 we get
[tex] y==-\frac{2}{5}-2[/tex]
On comparing with [tex] y=mx+c[/tex]
We get slope [tex] m=-\frac{2}{5}[/tex]
as the slope of line is negative therefore the line will either "b" or "d"
As line "b" pass from (0,2)
On putting it in given equation we get
[tex] 2(0)+5(2)=10[/tex]
Which is not equL to RHS of the line
Therefore b is not the given line
Now putting point (0,-2)
We get [tex] 0+5(-2)=-10[/tex]
Satisfy the equation and line "d" pass from it
There the give equationis of line "d"
Answer:the answer is line D
Step-by-step explanation:took the test and got it right
Mr. McKay spent $2.60 for a box of crackers and then divided them evenly between the s students in his class. Write an expression for the cost of the crackers for each student. Find the cost for s=20 students
$2.60 was spent on a box of crackers. s = 20 students.
Let's have C be the cost of crackers for each student. To find the cost, we divide the total amount of money (2.60) by the number of students (20)
C = 2.6/20
C = 0.13
The cost of the crackers for each student in Mr. McKay's class, if divided evenly, would be $0.13 when there are 20 students.
Explanation:Mr. McKay's expenditure on the box of crackers can be written as an arithmetic expression where the total cost is divided by the number of students. This expression is 2.6 / s. By substituting the given number of students (s=20), we find that the cost of the crackers for each student is 2.6 / 20 = $0.13. Therefore, each student should pay $0.13 if the cost of the crackers is to be divided evenly among them.
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Find the difference between x+5 and 2x+3
Answer:
The difference between the given expressions would be [tex]x - 2[/tex]
Step-by-step explanation:
Given phrase,
Difference between x+5 and 2x+3,
[tex]( 2x + 3 ) - (x + 5)[/tex]
[tex]=2x + 3 - x - 5[/tex] ( By distributive property )
[tex]=x - 2[/tex] ( By combining like terms )
Hence, the required difference would be [tex]x-2[/tex]
Which of the following functions is the inverse of f (x) = 3x? A. F (x) = -3x. B. F (x) = X3. C. F (x)=x/3 D. This function does not have an inverse.
[tex]f(x)=3x\to y=3x\\\\\text{Interchange the y and the x}\\\\x=3y\\\\\text{Solve for y}\\\\3y=x\qquad|:3\\\\y=\dfrac{x}{3}\\\\Answer:\ C.\ f^{-1}(x)=\dfrac{x}{3}[/tex]
The required inverse function would be f⁻¹(x) = x / 3, which is the correct answer would be option (C).
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
We have to find the inverse of the function below :
f(x) = 3x
So after switching x and y,
Now, we solve for y regularly.
f(x) = x = 3y
Solve for y :
⇒ x = 3y
⇒ x / 3 = y
⇒ y = x / 3 = f⁻¹(x)
Therefore, the required inverse function would be f⁻¹(x) = x / 3.
Hence, the correct answer would be an option (C).
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which fraction is not equivalent 30\48
The answer is C. 20/38
A model car travels 20 meters in 15 seconds. How many meters will it travel in 45 seconds?
The model car will travel 60 meters in 45 seconds