the answer is terms that have identical variable parts
I say it is the last one. I say that because it has the word Terms in it. I don't know for sure tho....
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.
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 :-)
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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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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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.
please help I hope someone can:Brian and Chris went together to Target to find party favors for a birthday party they are throwing together.
Brian found 4 items that cost the same amount. Chris bought 3 items that each cost $2.50 more than Brian’s items each cost. Brian and Chris both paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Brian's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.
Answer:
one Brian's item cost: x
one Chris' item cost: x+2.5
Set up equation:
Brians amount = Chris amount
4*x = 3*(x+2.5)
solve for x:
4x = 3x + 7.5
x = 7.5
Brian's items cost $7.5 each.
Check:
Brian paid 4*7.5 = $30
Chris paid 3*10 = $30
The individual cost of Brian's items was $7.50, and the indiv. cost of Chris' items was $10.
Compute the permutations and combinations. 4 P 4
1
4
24
[tex]nPk=\dfrac{n!}{(n-k)!}\\\\4P$=\dfrac{4!}{(4-4)!}=\dfrac{4!}{0!}=\dfrac{24}{1}=24[/tex]
Final answer:
The number of permutations for 4 P 4 is calculated as 4! (four-factorial), which is 4 x 3 x 2 x 1, resulting in 24 different permutations.
Explanation:
The question asks for the number of permutations for 4 P 4, which is the number of ways to arrange 4 unique items. When dealing with permutations, if we want to select r items from a set of n items, the formula for permutations is given by nPr = n! / (n-r)!. In this case, both n and r are equal to 4, so we would calculate 4P4 as 4! / (4-4)! which simplifies to 4! / 0!. Because 0! is defined to be equal to 1, the calculation becomes 4! Therefore, 4 P 4 equals 24.
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
2(x+14) + 2(x) Distributive Property
2(x+14) + 2(x) after using the distributive property will be 2x+28+2x. What I did to find this is multiply the number outside of the opening parentheses by everything inside of the pair of parentheses.
7,14,8,16,10,20,14 what is the rule
QUICK HELP!! Will give brainliest!! Thank you
3 is the y-intercept
and -6 is the x-intercept
usually they don't have y behind the y-intercept so usually its the one that doesn't have x, they usually only put x.
The correct answer to this equation is X-inter=(-3.15,0) and Y-inter=(0,6.3) and heres why:
To solve this problem we must isolate the y-variable and then graph. Here are the steps to do that
[tex]-6x+3y=18.9[/tex] Now add 6x to both sides to get:
[tex]3y=18.9+6x[/tex] Next we divide both sides by the 3 next to the "y" to get:[tex]y=\frac{18.9+6x}{3}\\[/tex]
Then you can simply graph this new equation to find your points. There is also another way to do it without graphing but it will take a lot more explaining and this way is faster.
If you find out that my answer is wrong, please tell me and I promise I will come back and rework my math. Thanks :)
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
When a third of a number is subtracted from a half of the same number, 60 is the result. Find the number
the answer is 360 because if you take a third you will have 120 then if you take half of that then you get 60
Using a system of equations, it is found that the number is of -360.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem:
The number is n.A third of the number is n/3.Half the number is n/2.Hence:
[tex]\frac{n}{3} - \frac{n}{2} = 60[/tex]
[tex]\frac{2n - 3n}{6} = 60[/tex]
[tex]-n = 360[/tex]
[tex]n = -360[/tex]
The number is of -360.
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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
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
The average score that Kat gets on her exams is proportional to the amount of time she studies for the exam. Kat scored a 75 after studying for 15 hours. How many hours should she study for the next exam if she needs a 90 to pass the class?
Kat's study score rate is 5 points per hour. To achieve a score of 90, given her current study rate, she should spend 18 hours studying for the exam.
Explanation:Since the average score Kat gets on her exams is proportional to the amount of time she studies, her score is a measure of her rate of study. This 'rate' can be computed as the score divided by the time she studies. She got a 75 after studying for 15 hours, so her rate is 75/15 = 5 - this means she scores 5 points per hour of studying.
To figure out how many hours she needs to study to score a 90 in the next exam, divide the score she needs (90) by her rate (5). So, 90/5 = 18. Thus, Kat needs to study for 18 hours to achieve a score of 90 on her next exam.
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Solve this linear system by graphing
1/2x-y=4
2y=x+6
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
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.
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.
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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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.
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.
The temperature in degrees Kelvin is 273 degrees more than the temperature in degrees Celsius. Use the formula C=59(F−32) to write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K.
Answer:
F = (9/5) (K - 273) + 32
Step-by-step explanation:
The problems asks to use the formula C=59(F−32), but check that this is not correct, it should be:
[tex]C = \frac{5}{9} (F - 32)[/tex]
We also know that temperature in degrees Kelvin K is 273 more than in degrees Celsius C, so we can write this as:
K = C + 273
The question asks to write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K.
So first lets isolate F in the first formula
[tex]C = \frac{5}{9} (F - 32)[/tex]
[tex]C = \frac{5}{9} (F - 32)\\C * \frac{9}{5} = \frac{5}{9}* \frac{9}{5}(F - 32)\\C * \frac{9}{5} = F - 32\\C * \frac{9}{5} +32 = F - 32 +32\\F = \frac{9}{5} C +32[/tex]
Now to make the formula in terms of K, lets first write C in terms of K:
K = C + 273
C = K -273
And now we can replace C in the F formula to write it in terms of K:
F = (9/5) (K - 273) + 32
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
2^x . 3^x =200 solve the x
[tex]2^x\cdot 3^x=200\\\\(2\cdot3)^x =200\\\\6^x=200\\\\x=\log_6200\\\\x=\dfrac{\ln 200}{\ln 6}\\\\x\approx2.96[/tex]
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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3-12t+8t simplify each Expression