Answer:
Step-by-step explanation:
Problem A
3x - 5 + x = 2x - 3 + 2 + 2x
Bring like terms close to each other so they can be combined on both the left and right sides.
3x + x - 5 = 2x+ 2x - 3 + 2 Combine like terms
4x - 5 = 4x - 1 Stop. Nothing more is going to work and give you anything but No Solution. You will wind up with - 5 = - 1 which is a contradiction.
Number of Solutions: None
Classification: Contradiction
Problem B
4x + 5 - 6x = -x + 3 - x + 2 Bring like terms close to each other so they can be combined on both the left and right sides.
4x - 6x + 5 = -x - x + 3 + 2
-2x + 5 = - 2x + 5 Stop!!!
This will give an infinite number of solutions. Suppose x = 200. Then you will get
-2*200 + 5 = -2 * 200 + 5
- 400 + 5 = - 400 + 5
- 395 = - 395 No matter what you use, the same thing will happen. The equation is an identity. Identities are really useful when you are checking equations. The left side should always come out to be the right side.
Number of Solutions: Infinite
Classication: Identity.
Problem C
8x + 2 - 6 = 4x +8 +3x Bring like terms close to each other so they can be combined on both the left and right sides.
8x + 2 - 6 = 4x + 3x + 8 Combine like terms.
8x - 4 = 7x + 8 Subtract 7x from both sides
8x - 7x - 4 = 7x - 7x + 8 Combine like terms
x - 4 = 8 Add 4 to both sides
x = 4 + 8
x = 12
Solutions: 1
Classification: Neither. But it is actually classified as a conditional equation if it has 1 legitimate solution.
Note: I really hope I have not wasted your points.
Interpret the given expression. Expression: (5x-2)^3 / x+11
Answer:
125x3−150x2+60x−8/x+11
the quotient of the cube of the difference of 5x and 2 and the sum of x and 11
A number (A) is 50% larger than (C). Another number (B) is 25% larger than (C) How many percent bigger is (A) than (B)?
A is twice ( 200%) lager than b
42.85714 as a percent
4,285.714%
unless you need it siplified?
Answer:
4285.714%
Step-by-step explanation:
Multiply 42.85714 by 100 to convert to percent:
42.85714 × 100 = 4285.714 %
Hope this helps :-)
please help solve
|y|=-18
Answer:
Step-by-step explanation:
+y = -18
-y = -18
You are at Galveston for a week-long gathering. Members of your family want to rent a jet ski. It will cost $45.00 per hour.How long can you rent the jet ski if your family has budgeted $350 for the rental fee?
By dividing the total budget ($350) by the cost per hour ($45), we can tell that the family can rent a jet ski for 7 hours.
Explanation:This problem involves a simple division process. Given that, the rental fee for jet ski is $45.00 per hour and your family has allocated $350 for this. We can solve this problem by dividing the total budget by the cost per hour.
The first step is to take $350 (the total budget) and divide it by $45 (the price per hour).This will give us the total time we can rent the Jet ski for.So, $350 ÷ $45 = 7.777. But since we can't rent a jet ski for partial hours, we only consider the whole number. Hence, Your family can rent a jet ski for 7 hours with a budget of $350.
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2(2x + 1) = 26
x = ?
Help!
Step 1. Divide both sides by 2
2x + 1 = 26/2
Step 2. Simplify 26/2 to 13
2x + 1 =13
Step 3. Subtract 1 from both sides
2x = 13 - 1
Step 4. Simplify 13 - 1 to 12
2x = 12
Step 5. Divide both sides by 2
x = 12/2
Step 6. Simplify 12/2 to 6
x = 6
Annual fixed costs for a product are $75,000. The product itself sells for $6 and it costs $2 in variable costs to make each product.
By how many units will the annual break-even point for the product change if the variable cost per unit goes up to $2.50?
Given
Annual fixed costs for a product are $75,000.
The product i sells for $6
it costs $2 in variable costs to make each product.
the variable cost per unit goes up to $2.50
find out how many units will the annual break-even point for the product change .
To proof
FORMULA
Break even = Fixed cost ÷ Contribution margin per unit
where
Contribution margin per unit = sale price - variable price
Take two cases
Case first
fixed costs for a product = $75,000
product itself sells = $6
variable costs = $2
put all the value in the above equation
we get
Contribution margin per unit = 6 - 2
= 4
[tex]Break even (say B1 ) = \frac{75000}{4}[/tex]
= 18750 units
CASE SECOND
the variable cost per unit goes up to $2.50
put value inthe formula
Contribution margin per unit = 6 - 2.50
= 3.5
[tex]Break even (say B2 ) = \frac{75000}{3.5}[/tex]
we get
Breakeven (sayB2) = 21428.6 unit
change in the break even product = B2- B1
= 21428.6 - 18750
= 2678.6 unit
Hence proved
The annual break-even point for the product will increase by approximately 2,679 units if the variable cost per unit goes up to $2.50.
Explanation:To determine the break-even point, we need to calculate the number of units that need to be sold in order to cover the fixed costs. The formula to calculate the break-even point is:
Break-Even Point = Fixed Costs / (Selling Price per Unit - Variable Cost per Unit)
In this case, the fixed costs are $75,000, the selling price per unit is $6, and the variable cost per unit is $2.
To find the current break-even point, we can substitute these values into the formula:
Break-Even Point = $75,000 / ($6 - $2) = $75,000 / $4 = 18,750 units
If the variable cost per unit goes up to $2.50, we can substitute this new value into the formula to find the new break-even point:
Break-Even Point = $75,000 / ($6 - $2.50) = $75,000 / $3.50 = 21,428.57 units
Therefore, the annual break-even point for the product will increase by approximately 2,679 units if the variable cost per unit goes up to $2.50.
What are the possible numbers of positive, negative, and complex zeros of f(x) = −3x4 + 5x3 − x2 + 8x + 4?
Judging from the graph (attached), there is one negative and one positive zero. Since this is a 4-th order polynomial, it has 4 zeros in total. So there are 2 complex zeros with imaginary components.
Solve for x.
52-2x=4
[tex]52-2x=4\\\\2x=48\\\\x=24[/tex]
Answer: x = 24
Step-by-step explanation:
52 - 2x = 4
-52 -52
__________
-2x = -48
___ ___
-2 -2
x = 24
hope this helps! ❤ from peachimin
How many factors are in 20
the factors are: 1,2,4,5,10,20. So Therefore there are 6 factors.
Prime numbers have only one rectangular array. Numbers with four factors have two types of rectangular array: 8 has 1 x 8 and 2 x 4. Numbers with six factors have three rectangular arrays: 20 has 20 x 1, 10 x 2, and 5 x 4.
slope is -3 and a y intercept of 7
You're slope intercept form is: y = mx + b, in which:
m = slope
b = y-intercept
Plug in the -3 for m, and 7 for b
y = -3x + 7 is your slope-intercept form.
hope this helps
Describe what the standard notation of a number look like if the scientific notation of that number has a negative exponent?
When converting a number from scientific notation with a negative exponent to standard notation, the result is a decimal number less than one. The scientific notation's negative exponent indicates how many places to move the decimal point to the left in the standard form.
When the scientific notation of a number has a negative exponent, it signifies that the standard notation of the number will be a decimal less than one. For example, if the scientific notation is 3.5 × 10-4, then the standard notation would be 0.00035. This transition is made by moving the decimal point to the left instead of to the right, which would be the case with a positive exponent. Each step the decimal point moves to the left corresponds to one negative power of ten.
In standard notation, the number is expressed in its regular decimal form without any exponents. For very small numbers, a negative exponent in scientific notation helps to simplify and make the representation more readable.
For instance, the size of a virus might be about 0.000000025 meters. In scientific notation, this is written as 2.5 × 10-8 meters. Converting this back to standard notation, we'd move the decimal point to the right eight places, giving us the small standard number mentioned before.
What fraction is halfway between 9/10 and 10/10. Question 8
[tex]\frac{-9.5}{10}[/tex] is halfway between [tex]\frac{-9}{10}[/tex] and [tex]\frac{10}{10}[/tex].
hope that helps :)
idk how to do these problems cause I keep getting confused
Problem 5
x = number of songs downloaded
MyTunes charges $2.50 per song, so you pay 2.50*x dollars if you download x songs. If M is the cost of using MyTunes, then M = 2.50*x.
Let G be the cost of using Great Songs. The equation here is G = 1.50*x+50. We have 1.50*x representing the cost of downloading x songs (at 1.50 dollars a piece) plus the membership fee of $50. So the total cost here is 1.50x+50 dollars.
We want to find out when Great Songs is a better deal, so we want to determine what x values make G smaller than M
(Great Songs Cost) < (MyTunes Cost)
G < M
1.50x+50 < M ................................... replace G with 1.50x+50
1.50x+50 < 2.50x ............................. replace M with 2.50x
1.50x+50-1.50x < 2.50x-1.50x ....... subtract 1.50x from both sides
50 < 1.00x
50 < x
x > 50
If you download more than 50 songs, then Great Songs will be the better deal since it will be the cheaper plan.
If my dad gets home at 5:30 and it is 4:22 how many more minutes do we wait
sara bought two board of wood for a club project. one board is 18 inches long, and the other board is 30 inches long. she wants to cut the wood into the longest equal-sized pieces possible with no wood left over sara wonders if she has enoughwood for ten equal-sized pieces.
Answer:
No, Sara can only cut 8 equal-sized pieces with maximum longitude and no wood left over.
Step-by-step explanation:
For finding which longitude meets the requirements (to be the longest with no wood left over) we must decompose 18 and 30 in their prime factors.
For doing so, we look for the prime numbers that divide 18 and 30, as follows
18 | 2 30 | 2
9 | 3 15 | 3
3 | 3 5 | 5
1 1
Thus 18=2*3*3, and 30=2*3*5.
The maximun number that divides both 18 and 30 must be 2*3=6, because these are the prime numbers that both decompositions have in common.
6 represents the maximum longitude for a piece of wood with no leftovers.
Since 18/6=3, and 30/6=5, we can only obtain 5+3=8 wood pieces from the boards.
Of course, we can cut in a half the 8 pieces obtaining 16 equal-sized pieces of wood, but unfortunately, they won't be the longest pieces possible.
SOMEONE HELP
plz and thank you
Answer: 60 mph
=================================================================
Explanation:
R*T = D is the same as D = R*T
The D value is unknown, but it is the same for both cars since each car traveled the same distance.
The rate or R value for car A is some unknown x. For car B, R = x+15 because it traveled 15 mph faster than car A.
For car A, T = 2. For car B, T = 1.5
---------------------------------
The equation for car A is going to be D = x*2 or D = 2x. Note how I replaced R and T with x and 2 respectively.
The equation for car B is D = (x+15)*1.5 which distributes and simplifies to D = 1.5x+22.5
Because we're dealing with the same D value for both equations, we can equate the two right hand sides and solve for x
D = 2x
1.5x+22.5 = 2x ..... replace D with 1.5x+22.5
22.5 = 2x-1.5x
22.5 = 0.5x
0.5x = 22.5
x = 22.5/0.5
x = 45
So car A's speed was 45 mph. Add on 15 to get
x+15 = 45+15 = 60
which is car B's speed
side note: car A travels a distance of D = R*T = 45*2 = 90 miles; while car B travels a distance of D = R*T = 60*1.5 = 90 miles. Both cars traveling the same distance helps us confirm we have the right answer.
---------------------------------
So this is why the final answer is 60 mph
Use the following figure to answer the question.
1 and 5 are _____ angles.
Answer:
1 and 5 are Corresponding angles.
Step-by-step explanation:
Given : Figure with two transverse line l , m .
To find : 1 and 5 are _____ angles.
Solution : We have given Line l , m and transverse line t .
Corresponding angle :
The angles in matching corners are called Corresponding Angles.
Example : 1 ,5 and 2 ,6 .
So , angle 1 and 5 are Corresponding angle.
Therefore, 1 and 5 are Corresponding angles.
A barn silo (except the top) is a cylinder. The silo is 10 m in diameter and the height is 24. What's the volume? (use 3.14 for pi if necessary)
Volume of cylinder= /pi r square h
Taking /pi as 22/7
r= diameter/2
=5m
h=24m
V= 22/7*5 square*24
V=22*25*24/7
V=13200/7
V=1885.7 m cube
One number is four times another. Their sum is 35. Can you help me come up with an equation
A system of linear equations can be set up with x representing the first number and 4x representing the second number, which is four times the first. Solving the equation x + 4x = 35 gives us x = 7, and the second number is 28.
To solve the problem where one number is four times another and their sum is 35, we can set up a system of two linear equations. Let's call the first number x and the second number, which is four times the first, 4x. According to the problem, x + 4x = 35.
Now we can simplify the equation:
Combine like terms: x + 4x = 5x.Equate to 35: 5x = 35. Divide both sides by 5 to solve for x: x = 7.So the first number is 7. To find the second number, we multiply 7 by 4, which is 28. To check our work, we add the two numbers and confirm they sum to 35: 7 + 28 = 35.
(Easy)+(20 points)
insert parenthesis in expression 2 so that it has a value of 19. then show why your expression has a value of 19.
I've already done the work:
(5+4)*2+6-2*2-1=19 (i added the parenthesis)
but i dont know how to show why it makes 19 so yeah could someone put an explanation or something
The reasoning behind why it equals 19 is because you use PEMDAS (aka: Order Of Operations). When you solve, you solve in the same order PEMDAS, so you first solve the parenthesis. Next, you'd solve exponents, but in this case, there are none. So, you solve the multiplication and/or division (from left to right). Finally you'd solve completely, by adding and subtracting (from left to right). Doing all these steps would give you your answer of 19.
I hope this helps!
Analyze the following pattern: 1, 2, 5, 10, 17, ...
Part I: Describe the pattern. (1 point)
Part II: What is the 8th term of the pattern? Show your work. (1 point)
The pattern is [tex]n^2-2n[/tex]
And, the 8th term of the pattern is 48.
Given that,
The pattern is 1,2,5,10,17.....Based on the above information, the calculation is as follows:
1 2 5 10 17
Here second number is calculated by adding 1, the third number is calculated by adding 3, the fourth number is calculated by adding 5, and the last number is calculated by adding 7
So,
+1 +3 +5 +7
+2 +2 +2
Now
[tex]2\div 2=1[/tex]
Therefore it starts with [tex]n^2[/tex]
[tex]n^2[/tex] = = 1 4 9 16 25
-0 -2 -4 -6 -8
-2 -2 -2 -2
Therefore we have -2n
Now
The 8th term should be
[tex]= 8^2- 2\times 8[/tex]
= 64-16
= 48
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what is 14÷426 this is to help me for my hw
14 / 426 = 0.09389
Hope this helps!
7/213 in fraction and 0.03286384977 in decimal form
Without computing each sum find which is greater O or E and by how much O=3+5+7+9+....+98 E=2+4+6+8+....+98
Solve this linear system by graphing
1/2x-y=4
2y=x+6
A proofreader read 195 pages in 7 days. To the nearest hundredth, what is her reading rate in pages per minute?
A: 0.02 pages/min
B: 0.46 pages/min
C: 1.16 pages/min
D: 27.86 pages/min
1 day = 24 hours.
7 days x 24 hours per day = 168 hours
1 hour = 60 minutes.
168 hours x 60 minutes per hour = 10,080 total minutes.
195 pages / 10,080 minutes = 0.019 = 0.02 pages/min.
The answer is A.
The answer is A
This is because 7 days is equivalent to 10080 minutes.
To get the number of pages read per minute, divide 195 by 10080 to get approximately 0.02
The steps need to solve this equation -24-1/8p=3/8p
-24-1/8p=3/8p
Rewrite as
3/8p=-24-1/8p
Add -1/8p both sides
1/2p= -24
Multiply 2 to each side
P= -24(2)
P=-48
The value of p is 48 for the equation 24 - 1/8p = 3/8p.
To solve this equation -24 - 1/8p = 3/8p.
24 - 1/8p = 3/8p.
Subtract 24 on both side,
24 - 1/8p -24 = 3/8p - 24,
- 1/8p = 3/8p - 24
Add 1/8p on both side,
1/8/p - 1/8p = 3/8p - 24 + 1/8p
0 = 1/2p -24
24 = 1/2p
p = 48.
Therefore, the value of p is 48.
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whats the answer 4−d<4+d
Final answer:
The inequality 4 − d < 4 + d solves down to d > 0, meaning any positive number for d will satisfy the inequality. We achieve this by eliminating like terms and isolating the variable on one side.
Explanation:
To solve the inequality 4 − d < 4 + d, we want to find the values of d that make the inequality true. We can do so by following these steps:
Subtract 4 from both sides of the inequality to simplify it: 4 − d − 4 < 4 + d − 4, which simplifies to −d < d.
Add d to both sides to get all the d terms on one side: −d + d < d + d, which simplifies to 0 < 2d.
Divide both sides by 2 to solve for d: 0 / 2 < 2d / 2, which simplifies to 0 < d.
The solution to the inequality is d is greater than 0. In other words, any positive number for d will satisfy the inequality.
when steve woke up. his temperature was 102° F. two hours later it was 3° lower. what was his temperature then?
A lower temperature suggests a subtraction.
Wake up temperature: 102° F
Temperature two hours later: 3° F lower, or -3° F
Temperature two hours later: 102° F - 3° F = 99° F
Answer: 99° F
Cala uses 2 pounds of Feed-All fertilizer for a 100 foot row of vegetables at her farm. At this rate, how many pounds of fertilizer would she use for a 450-foot row of vegetables? Explain
Answer
Find out the how many fertilizer she used for a 450-foot row of vegetables.
To proof
let us assume that the fertilizer would she use for a 450-foot row of vegetables be x.
As given
Cala uses 2 pounds of Feed-All fertilizer for a 100 foot row of vegetables at her farm.
than the equation becomes
[tex]x = \frac{2\times450}{100}[/tex]
solving the above
x = 9 pound
Therefore 9 pound are used for a 450-foot row of vegetables.
Hence proved