Answer:(6,-4)
Step-by-step explanation:
6x+7y=4x+4y
If (?,-4)
So we are solving for x. Substitute the y with -4.abd solve.
6x+7(-4)=4x+4(-4)
Multiply 7(-4) on left side and 4(-4) on right side.
6x-28=4x-16
Subtract 4x both sides to get x term on left side
6x-4x-28= -16
Now add 28 to both sides to move to the right side because you want to keep x on left side.
6x-4x=28-16
2x= 28-16
Subtract 28 from 16
2x= 12
Divide 2 to both sides
X=12/2
Solve 12÷2=6
X=6
Answer:
[tex]S=\left \{ \left ( 6,-4 \right ) \right \}[/tex]
Step-by-step explanation:
1) In this equation we have one solution already given for y. y=-4. Let's make it one simplest equation:
[tex]6x+7y=4x+4y\\6x-4x=-7y+4y\Rightarrow 2x=-3y[/tex]
Now, plugging in the y value already given:
2)[tex]2x=-3(-4)\Rightarrow 2x=12\Rightarrow x=6[/tex]
[tex]S=\left \{ \left ( 6,-4 \right ) \right \}[/tex]
7,14,8,16,10,20,14 what is the rule
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
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.
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.
If y varies inversely as x and y=3 when x=4, then y=12 when x=15
True or false ?
y=12 is false answer.
Solve this linear system by graphing
1/2x-y=4
2y=x+6
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.
Which scatterplot has a correlation coefficient closest to r = 1?
Answer:
The scatter diagram that contains the correlation coefficient closest to r = 1 is the first one shown in the attached images.
Step-by-step explanation:
The correlation coefficient "r" measures how much two variables x and y are related. When the variables are highly related, the value of r is closer to one and the points contained in the scatter diagrams are assimilated more and more to a line. When the value of r is positive the relation is crescent and therefore the slope of the line drawn by the points in the diagram has a positive slope
Therefore, to answer this question, one must search among the attached images for the dispersion diagram in which the points resemble a straight line with a positive slope.
The scatter diagram that meets the requirements mentioned is the first one that appears in the attached images
The scatterplot with a correlation coefficient closest to r = 1 is the one shown in the image below.
Scatterplot Showing CorrelationA scatterplot shows a relationship between two variables.This relationship is denoted by a correlation coefficient that is between -1 and 1.If a line slopes upwards to the right, it shows a positive correlation and vice versa.The closer the data points on a scatter plot, the closer the correlation coefficient is to either 1 or -1.Therefore, a scatterplot with a correlation coefficient that is closest to r = 1 will have a slope whose data points lie almost on a straight line and slopes upwards to the right.
Therefore the scatterplot with a correlation coefficient closest to r = 1 is the one shown in the image below.
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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
the members of the drama club used .5 of the school gymnasium floor space to build a stage for a play. the drama club used .4 of this part of the gymnasium floor to build a backstage area. write an equation.
Hello,
If this is the case, i would division.
4 devided by 5 is 1 reminder 1.
Plz mark brainliest
*i think i got it right!*
The drama club used 0.5 of the gymnasium floor for the stage, and 0.4 of that for the backstage area. Therefore, the equation representing the portion of the gymnasium used for the backstage area is 0.2F = backstage area, where F represents the total gymnasium floor space.
Explanation:The drama club used 0.5 of the total gymnasium floor space to build a stage. But they further used 0.4 of that space for a backstage area. If the total floor space is represented by the variable F, the portion used for the stage would be 0.5F. The space used for the backstage area would be 0.4 of that, so it would be 0.4 * 0.5F = 0.2F. So the equation representing the situation is 0.2F = backstage area.
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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 :-)
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.
5x+10=7x+4 what is the answer to this equation
answer: [tex]x = 5[/tex]
work:
[tex]5x+10=7x+4[/tex] | subtract 5x and move it over to the 7x, and solve
[tex]10 = 2x + 4[/tex] | subtract 4 and move it over to the 10, and solve
[tex]6 = 2x[/tex] | divide by 2
[tex]3 = x[/tex] | final answer
hope this helps! ❤ from peachimin
Peter sets out on a run 4 miles west of his school he ran 14 miles east how far past is school is he after his run
he is 10 miles east of his school because:
N
W-|-E So if you consider the middle of the lines the school and draw a line four S miles west then you go backwards (east) fourteen miles. you get 10.
Equation: 0+4=4 |4-14|=10
Peter is 10 miles east of his school after his run.
Explanation:To determine how far past his school Peter is after his run, we need to calculate the total displacement from his starting point. Since he ran 4 miles west and then 14 miles east, the total displacement is the difference between the two distances, which is 10 miles east. Therefore, Peter is 10 miles east of his school after his run.
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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.
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
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.
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.
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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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
Which set of points lies on given graph?
A.(4,11),(-2,7),(1,-1)
B. (4,11),(2,-7), (1,1)
C. (-4,11),(-2,7),(1,-1)
D. (-4,11),(-2,7),(1,1)
Set of points lies on given graph
(-4,11) , (-2,7), and (1, 1)
Answer
D. (-4,11),(-2,7),(1,1)
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 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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3-12t+8t simplify each Expression
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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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.
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
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