Answers
20/12 = 30/(7x - 3)
From there, simply solve for x.
Related Questions
Simplify the expression. (–9m + 12) –6m + 12 –6m + 8 –6m + 24 –18m + 8 Description
Answers
Get all the like terms together
- 45 m + 64
Answer:
-45m + 64
Step-by-step explanation:
To solve this, we are going to eliminate the parenthesis first:
(–9m + 12) –6m + 12 –6m + 8 –6m + 24 –18m + 8
= -9m + 12 - 6m + 12 –6m + 8 –6m + 24 –18m + 8
Now we're going to sum up all the terms that have an "m" and all the independent terms
=(-9m -6m - 6m - 6m - 18 m) + (12+12+8+24+8)
= - 45m + 64.
Thus, the expression is -45m + 64.
Order number in least to greatest, 1/5, 0.1, -1/2, -0.25, 0.3
Answers
Final answer:
The numbers ordered from least to greatest are -1/2 (-0.5), -0.25, 0.1, 1/5 (0.2), and 0.3. The decimals provide a common format that makes comparisons straightforward.
Explanation:
The student is asking to order numbers from least to greatest. To compare these numbers, we convert them to a common format, such as decimals, and then we can easily arrange them:
-1/2 = -0.5 (the smallest negative number)-0.25 is the next smallest number, it is greater than -1/20.1 is equal to 1/10 and is the smallest positive number1/5 = 0.2, which is greater than 0.10.3 is the largest positive numberTherefore, the numbers ordered from least to greatest are: -1/2, -0.25, 0.1, 1/5, 0.3.
The previous task asked you to select the rectangle that did not represent an enlargement of the given rectangle. explain how you determined which rectangle was not an enlargement.
Answers
The ratio table should show dimensions that are proportional to the original rectangle. That is, the dimensions of the other rectangles should be multiplied by a scale factor for the enlargement. I checked each dimension to see if it was a multiple of the original rectangle.
Final answer:
To determine if a rectangle is an enlargement, compare the corresponding sides of the rectangles.
Explanation:
To determine which rectangle is not an enlargement of the given rectangle, you should compare their corresponding sides. An enlargement is a proportional increase in the dimensions of the original shape. If the corresponding sides of the two rectangles are not scaled by the same factor, then it is not an enlargement.
Identify the dimensions of the given rectangle.Compare the corresponding sides of each rectangle.If the corresponding sides are not scaled by the same factor, then the rectangle is not an enlargement.A man standing 13 feet from the base of a lamppost casts a shadow 5 feet long. if the man is 6 feet tall and walks away from the lamppost at a speed of 450 feet per minute, at what rate, in feet per minute, will the length of his shadow be changing?
Answers
The length of his shadow be changing 2250/13.
What is proportion?A proportion is an equation in which two ratios are set equal to each other.
Given:
height of men = 6 feet
Shadow height= 5 feet
speed of men= 452 feet/ min
So, Lampost's height = 6 x (5 +13)/ 5 =108/5
Now, using the proportion
L/ (L + 13 + 450 t)= 30/108
108 L= 30 L + 390 + 13500t
78 L = 390 + 13500t
L= 5 + 2250/13 t
hence, length of his shadow be changing 2250/13.
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A store is offering a $30 mail in rebate on all color printers. Luis is looking at different color printers that range in price from $175 to $260. How much can he expect to spend after the rebate?
Answers
subtract 30 from both prices shown
175 -30 = 145
260 -30 = 230
he will spend between 145 and 230 after the rebate
After applying the $30 mail-in rebate, Luis can expect to spend anywhere from $145 to $230 on a color printer.
Explanation:The problem is asking to find out how much Luis will spend on a color printer after applying a $30 mail-in rebate. Given that the printers range in price from $175 to $260, we subtract the rebate from each of these prices to get the range Luis might expect to pay.
To calculate the minimum price, we take the lowest price of $175 and subtract the mail-in rebate: $175 - $30 = $145.
And to calculate the maximum price, we take the highest price of $260 and subtract the rebate: $260 - $30 = $230.
So, after applying the $30 mail-in rebate, Luis can expect to spend anywhere from $145 to $230 on a color printer.
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Lydia inherited a sum of money. She split it into five equal parts. She invested three parts of the money in a high-interest bank account which added 10% to the value. She placed the rest of her inheritance plus $500 in the stock market but lost 20% on that money. If the two accounts end up with exactly the same amount of money in them, how much did she inherit?
Answers
How to solve exterior angle for right triangle?
Answers
Is an equation used to compute probabilities of continuous random variables
Answers
What is the x-intercept of the line in the equation 4x+2y=12
Answers
If f (x)=5x-7, then what us the solution to f (x)=4
Answers
4=5x+7
4-7=5x
-3=5x
(-3/5)=x
Which graph represents the solution to the system of inequalities? y ≥ x – 5 y < –x + 4
Answers
The solution to a system of inequalities y ≥ x – 5 and y < –x + 4 is the region where these two inequalities intersect on the graph. This region is below the line y = -x + 4, and also above or on the line y = x - 5.
Explanation:The subject of your concern lies in the field of Mathematics, more specifically, in the topic related to graphical representation of systems of inequalities. To find which graph represents the solution to the system of inequalities y ≥ x – 5 and y < –x + 4, you need to plot both inequalities on the same graph.
For the inequality y ≥ x – 5, plot a line with a slope of 1 and a y-intercept of -5. This line will slope upwards, to reflect that y is greater than or equal to x - 5. For the inequality y < –x + 4, plot a line with slope of -1 and a y-intercept of 4, which will slope downwards as y is lesser than -x + 4.
The region where both these inequalities intersect would be the solution to the system of inequalities. This region would be below the line y = -x + 4, but also above and on the line y = x - 5.
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A graph that represents the solution to the system of inequalities y ≥ x – 5 and y < –x + 4 is shown in the image below.
What are the rules for writing an inequality?In Mathematics, there are several rules that are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a graph and these include the following:
The line on a graph should be a dashed line when the inequality symbol is (> or <).The inequality symbol should be greater than or equal to (≥) when a solid line is shaded above.The inequality symbol should be less than or equal to (≤) when a solid line is shaded below.In this context, we can logically deduce that the graph of this linear inequality, y ≥ x – 5 would be a solid line and shaded above while the graph of this linear inequality, y < –x + 4 would be a dashed line and shaded below.
In conclusion, a possible solution is (2, 1).
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Missing Information
The question is incomplete. Hence, a general answer was provided.
Ebony earns $2,000 per month. If she spends $450 on rent each month, what percent of her income does she spend on ren
Answers
so 2000 - 450 = 1550
1550/2000 = 0.775
or .78
100 - 0.78 = 0.22
22% is your answer
hope this helps
How to do this ?? How
Answers
The two bars | | is used to indicate the function absolute value.
Remember this definition:
| x | = - x if x < 0 and x if x > 0
So, | x | > c =>
x > c or x > - c
Therefore:
|ax - b| > c => ax - b > c or ax - b > - c
That is the third option of the answer list.
Answer: the 3 one is the answer
When does the algebraic multiplicity equal to geometric multiplicity?
Answers
The algebraic multiplicity of an eigenvalue equals the geometric multiplicity when the corresponding eigenspace is sufficiently spanned by independent vectors, usually implying that the matrix or linear transformation is diagonalizable.
Explanation:In cases of linear algebra, the algebraic multiplicity of an eigenvalue equals the geometric multiplicity when the respective eigenvector space is completely spanned by independent vectors. Nevertheless, the algebraic multiplicity of an eigenvalue is always greater than or equal to the geometric multiplicity. The situation where algebraic multiplicity is equal to geometric multiplicity generally signifies that the linear transformation or matrix is diagonalizable.
To clarify, the algebraic multiplicity of an eigenvalue is the number of times it appears as a root of the characteristic polynomial, and the geometric multiplicity is the dimension of the corresponding eigenspace. When these two quantities are equal, it often leads to a simpler set of calculations in practical applications of linear algebra.
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What is the messure of ABC
Answers
In 2012 your car was worth 12500 in 2014 your car is was worth 8500 linear function to determine the cars value
Answers
HELP!!! I got the first part done but I feel as though I did it wrong because I can't seem to get part 2 or 3 done.
Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).
f(x) = ax^2 + bx + c a = 1 b = 4 c = 6 (x – a) a = -2
f(x) = x^2 + 4x + 6 (x – 2)
Part 1. Show all work using long division to divide your polynomial by the binomial.
X + 4
x-2√(x^2+4x+6)
-x^2+2x
6x + 6
- 6x + 12 18 is the remainder of x + 4
18 x + 4 + 18/(x-2)
Part 2. Show all work to evaluate f(a) using the function you created.
Part 3. Use complete sentences to explain how the remainder theorem is used to determine whether your linear binomial is a factor of your polynomial function
Answers
Answer:
It's all below...
Step-by-step explanation:
Part 1.
quadratic poynomial function: f(x)=x2−5x+6
linear binomial: x−2
x−3x−2x2−5x+6x2−2x−−−−−−−−−−3x+6−3x+6−−−−−−−−0
Part 2.
f(2)=22−5(2)+6=4−10+6=−6+6=0
Part 3.
The remainder theorem says that if f(x) is divided by x-a, then f(a) will be the remainder. When we divided f(x) by x - 2 , we got a remainder of 0, which by the remainder theorem implies f(2) = 0. That means x-2 is a factor of f(x).
What is the equation of the line in slope intercept form? if its in points (-2 , 8) (1 , 2) A. -2x-y=-4 B. y=2x-4 C. 2x+y=4 D. y= -2x+4
Answers
Final answer:
The equation of the line in slope-intercept form, given the points (-2, 8) and (1, 2), is y = -2x + 4, which is option D.
Explanation:
The question asks for the equation of a line in slope-intercept form given two points on the line (-2, 8) and (1, 2). To find the equation, we first calculate the slope (m) which is the change in y-values divided by the change in x-values. Using the given points,
m = (2 - 8) / (1 - (-2))
= -6 / 3
= -2.
With the slope known, we use one point to solve for the y-intercept (b) in the equation,
y = mx + b.
Let's use the point (1, 2):
2 = (-2)(1) + b, which simplifies to,
2 = -2 + b, so,
b = 4. Therefore, the equation in slope-intercept form is y = -2x + 4, which corresponds to option D.
The sum of two numbers is 46 and the difference is 12 what are the numbers?
Answers
Hope this helps.☺
A car is traveling at 70 mi/hour. What is the car's speed in feet per second?
Answers
5280 feet per mile
5280 x 70 = 369600 feet per hour
3600 seconds per hour
369600 divided by 3600 =
102.67 feet per second (rounded to the nearest hundredth)
3,600 seconds per hour
70 miles / hour * (5,280 feet / 1 mile) * (1 hour / 3,600 seconds) =
369,600 / 3,600 = 102.666... feet / second
The high school dance team is learning a new routine to a song that lasts 3 minutes and 41 seconds, or 221 seconds total. Yesterday, they covered the first 45 seconds of the song at practice. They learn an average of 22 seconds of the dance in an hour. Let h represent the time, in hours, it will take the team to learn the entire dance. Which equation represents this situation, and how long will it take?
A. 221 = 22h; 11 hours
B.221 = 22h - 45;12 hours
C.221 = 22h + 45; 8 hours
D. 221 = 45h + 22; 5 hours
Answers
Answer:
Option C.
Step-by-step explanation:
High school dance team is learning a new routine to a song that lasts 221 seconds.
Yesterday they covered the first 45 seconds for the song at practice.
They learn an average of 22 seconds of dance per hour.
If they learned the dance for h hours then total time taken for routine will be = (22h + 45)
Therefore, equation that represents the this situation will be
22h + 45 = 221
22h = 221 - 45
22h = 176
h = [tex]\frac{176}{22}=8[/tex]
Total hours taken will be 8 hours.
Therefore, option C will be the answer.
A cubic foot of water weighs about 62.5 pounds. if an aquarium is 18 feet long, 10 feet deep, and 12 feet wide, what's the approximate pounds-per-square-inch pressure (psi) on the bottom of the tank?
Answers
To find the psi on the bottom of an 18x10x12 feet aquarium, calculate the total weight of water, 135,000 pounds, and divide it by the bottom area in square inches, resulting in approximately 4.34 psi.
Explanation:To calculate the pounds-per-square-inch pressure (psi) on the bottom of the aquarium, we need to determine the weight of the water above a single square inch of the aquarium's bottom.
Given that the aquarium dimensions are 18 feet long, 10 feet deep, and 12 feet wide, we first calculate the volume of water in the aquarium by multiplying these dimensions together, which gives us 2160 cubic feet.
Next, since we know that each cubic foot of water weighs about 62.5 pounds, the total weight of the water in the tank can be found by multiplying the volume by this weight, resulting in 135,000 pounds (2160 cubic feet * 62.5 pounds/cubic foot).
To find the pressure in psi, we divide this total weight by the area of the bottom of the tank in square inches.
The tank bottom is 18 feet by 12 feet, which is 216 square feet or 31,104 square inches (216 square feet * 144 square inches/square foot).
Dividing 135,000 pounds by 31,104 square inches, we get approximately 4.34 psi pressure exerted on the bottom of the tank.
How do you solve x in this equation ?
Answers
both angles need to equal 180 degrees
so you get
2x + 4x+150 = 180
combine like terms
6x + 150 =180
subtract 150 from each side
6x =30
x = 30/6
x = 5
What is the range for the function ƒ(x) = 7?
Answers
Domain: {x/x<R}
Range:7
PLEASE HELP ASAP!!!! :)
Identify the natural number that is closest to √142.
A.) 11
B.) 12
C.) 142
D.) 13
Answers
A malapropism occurs when two people use the same word to mean two different things
Answers
A malapropism is the use of an incorrect word in place of a word with a similar sound, resulting in a nonsensical, sometimes humorous utterance.
An example of malapropism is, "Texas has a lot of electrical votes", rather than "electoral votes"
Final answer:
A malapropism occurs when two people use the same word to mean two different things. It is a form of linguistic humor that often involves the inadvertent substitution of one word for another that sounds similar but has a completely different meaning.
Explanation:
A malapropism occurs when two people use the same word to mean two different things. It is a form of linguistic humor that often involves the inadvertent substitution of one word for another that sounds similar but has a completely different meaning. An example of a malapropism is when someone says, 'I have a photographic memory. I can remember everything - even the things that never happened.'
How to find the slope and y-intercept of 2y=8?
Answers
There is not enough information to find the slope of this graph. But Y = 4
share £50 in the ratio 4:1
Answers
50:200
50 as 4 in the ratio
50:12.5
hope this helps
Ashley is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges
$
103
and allows unlimited mileage.
Company B has an initial fee of
$
75
and charges an additional
$
0.80
for every mile driven.
For what mileages will Company A charge less than Company B?
Use
m
for the number of miles driven, and solve your inequality for
m
.
Answers
y(B)=55+ 0.90 m
for what m will y(A)=y(B)?
y(A)=y(B)
91=55+0.90m
0.90m= 36
m=40
company B is better if the distance is < 40 miles
company A is better if the distance is > 40 miles
for what m is y(A) greater or equal to y(B)??
0<m _< 40
1. Solve for t: I=Prt
2. The bill (parts and labor) for the repair of a car was $458. The cost of parts was $339. The cost of labor was $34 per hour. Write and solve the equation to find the number of hours of labor.
3. 85% of 300 is what number?
4. What distance is 24% of 710 miles?