Answer:Any number
Step-by-step explanation:
what is y when 8=2y-10x
Answer:
Y = 9
Step-by-step explanation:
2Y (with Y having a value of 9) would be equal to 2 x 9 which would give you 18
then you take the 18 and subtract 10x
which would give you 8x with the x not being relevant in your case (maybe)
To find the value of y in the equation 8 = 2y - 10x, rearrange the equation to isolate y. Divide both sides of the equation by 2, and the value of y is 4 + 5x.
Explanation:To find the value of y, we need to isolate it on one side of the equation. First, let's rearrange the equation by moving the term with x to the other side:
8 + 10x = 2y
Next, let's divide both sides of the equation by 2 to solve for y:
(8 + 10x) / 2 = y
4 + 5x = y
So, the value of y is 4 + 5x.
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E=6c^2−2c−1
F=−4c^2+7c+5
E+F=
Answer:
10c2 + 5c + 4
Step-by-step explanation:
Final answer:
To find the sum E + F, combine like polynomial terms: the result is 2c^2 + 5c + 4.
Explanation:
To find E + F, we need to perform polynomial addition by combining like terms. We're given that E = 6c² - 2c - 1 and F = -4c² + 7c + 5. Adding the coefficients of the terms with the same powers of c, we get:
For c² terms: 6c² + (-4c²) = 2c²For c terms: -2c + 7c = 5cFor the constant terms: -1 + 5 = 4Combining these results, we get: E + F = 2c² + 5c + 4
This polynomial represents the sum of the given polynomials, consolidating like terms to simplify the expression and facilitate further analysis.
Jason and his friends went out to lunch .they ordered one cheeseburger and one soda for $5 how much dose one cheeseburger cost?how much dose one soda cost
Answer:
soda:3.75 burger: 1.25
Step-by-step explanation:
Simplify 5+2(6y+3)+4x+y
Answer: 4 x + 13 y + 11
Step-by-step explanation:
Distribute:
=5+(2)(6y)+(2)(3)+4x+y
=5+12y+6+4x+y
Combine Like Terms:
=5+12y+6+4x+y
=(4x)+(12y+y)+(5+6)
=4x+13y+11
Answer:
=4x+13y+11
Does y = 3/4 x + 6 and y = -3/4 x + 5 have one solution
Answer:
yes
Step-by-step explanation:
Given the 2 equations
y = [tex]\frac{3}{4}[/tex] x + 6 → (1)
y = - [tex]\frac{3}{4}[/tex] x + 5 → (2)
Substitute y = [tex]\frac{3}{4}[/tex] x + 6 into (2)
[tex]\frac{3}{4}[/tex] x + 6 = - [tex]\frac{3}{4}[/tex] x + 5 ( add [tex]\frac{3}{4}[/tex] to both sides )
[tex]\frac{3}{2}[/tex] x + 6 = 5 ( subtract 6 from both sides )
[tex]\frac{3}{2}[/tex] x = - 1 ( divide both sides by [tex]\frac{3}{2}[/tex] )
x = [tex]\frac{-1}{\frac{3}{2} }[/tex] = - [tex]\frac{2}{3}[/tex] ← one solution
If f(7)=22, then f^-1(f(7))=?
Please help!!
Answer:
7
Step-by-step explanation:
In general, the point of an inverse function is to show you the value that gives a particular function value. That is, ...
[tex]f^{-1}(22)=7\\\\f^{-1}(f(x))=x\\\\f^{-1}(f(7))=7[/tex]
The inverse function [tex]f^{-1}[/tex]essentially 'undoes' the operation of the function f. Given that f(7) is 22, applying the inverse function [tex]f^{-1}(f(7))[/tex] will return us to the original input, which is 7.
Explanation:The question is discussing the concept of inverse functions in mathematics. A function has an inverse if it can be 'undone' or 'reversed'. In the notation [tex]f^{-1}[/tex], it signifies the inverse function of f. The value of [tex]f^{-1}(f(7))[/tex] indicates that we have first applied the function f to the input 7 and then applied the inverse function [tex]f^{-1}[/tex] The result would be the original input before function f was applied.
Given that f(7) is equal to 22, applying the inverse function f^-1 to this result will return us to the original input. Hence, [tex]f^{-1}(f(7))[/tex]equals 7.
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Solve:
3 = -2v - V
V=
Answer:
V = −1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3=−2v−v
3=−2v+−v
3=(−2v+−v)(Combine Like Terms)
3=−3v
3=−3v
Step 2: Flip the equation.
−3v=3
Step 3: Divide both sides by -3.
−3v = 3
-3 -3
v=−1
Answer:
Subtract v from −2v.
Which equals −3v.
-3v = 3.
Step-by-step explanation:
v = -1.
-3 x -1 = 3.
3 = 3.
Therefore, v = -1.
Maria and her sister each have a salad and drink for lunch at a restaurant. Salad cost $5.40 and drink cost $1.40. What was the total cost of the meal with a 20% tip?
Final answer:
Maria and her sister's meal total cost is $13.60 before tip. With a 20% tip of $2.72 added, the total meal cost becomes $16.32.
Explanation:
First, we need to calculate the total cost of Maria and her sister's meal before tip. Each salad costs $5.40 and each drink costs $1.40. Given they both had a salad and a drink, we calculate the cost for each person as $5.40 + $1.40 = $6.80. Thus, for both Maria and her sister, the total cost of the meal is $6.80 x 2 = $13.60.
To calculate the total cost including a 20% tip, we first need to work out the amount of the tip. A 20% tip can be calculated by converting the percentage to a decimal (0.20) and multiplying it by the meal cost. So, the tip amount is 0.20 x $13.60 = $2.72.
Finally, to find the total cost of the meal including a 20% tip, we add the tip to the original meal cost: $13.60 + $2.72 = $16.32. Therefore, the total cost of the meal with a 20% tip is $16.32.
If f(x) = 6x ^ 2 - 4a and g(x) = 2x + 2 find (f - g)(x)
Answer:
6x^2-4a-2x-2
Step-by-step explanation:
The ratio of taxes to profits is 7:3. Find the amount of taxes if the taxes and profits total $1000.
Answer:
$700
Step-by-step explanation:
Given:
The ratio of taxes to profits is 7:3.
The taxes and profits total $1000.
Question asked:
Amount of taxes = ?
Solution:
Let ratios = [tex]x[/tex]
And amount of taxes = [tex]7x[/tex]
Then amount of profit = [tex]3x[/tex]
Sum of amount of taxes and profits = $1000.(given)
[tex]= 7x + 3x = 1000\\= 10x = 1000\\[/tex]
by dividing both side by 10
[tex]x = 100[/tex]
Thus, amount of taxes = [tex]7x[/tex] = [tex]7\times100[/tex] = [tex]700[/tex]
Thus, amount of profits [tex]= 3x = 3\times100 = 300[/tex]
I need help please and thank you
Answer:
58 degrees
Step-by-step explanation:
180-87-35= 58
On a day in the month of February the temperature in Barrow Alaska is -21°F at the same time the temperature in Northway Alaska is -13°F write an inequality to and compare -21 and -13 which temperature is warmer
Answer:
-13 》-21
Step-by-step explanation:
The reason why is because -21 is further away from 0 than -13. Negative numbers are greater when they are closer to 0, and less when further away.
The inequality that compares these two temperatures is - 13°F > - 21°F so
Northway Alaska is warmer.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, On a day in the month of February the temperature in Barrow Alaska is -21°F at the same time the temperature in Northway Alaska is -13°F.
We know 21 > 13 but - 13 > - 23.
Therefore the inequality that compares the temperature is - 13°F > - 21°F.
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15 is 13% of what number?
Answer: 1.95
Step-by-step explanation:
Multiply 15*13%
Answer:
Abswer is 1.95 thank you
Step-by-step explanation:
Write the answer in simplest form: 3/11 − 1/5 a. 3/55 b. 1/8 c. 4/55 d. 26/55
Answer:
C) 4/55
Step-by-step explanation:
3/11-1/5=15/55-11/55=4/55
Jonas earns $9 per hour as a lifeguard and $11 per hour as a swim instructor. Last week he worked a total of 40 hours at the pool, 10 of which were teaching swim lessons. Which expression and value show the total amount of money that he earned last week? 9 × 10 + 11 × 30; $420 9 × 10 + 11 × 30; $210 9 × 30 + 11 × 10; $419 9 × 30 + 11 × 10; $380
Answer:
The correct answer is D. 9 × 30 + 11 × 10; $380
Step-by-step explanation:
Let's write the correct equation to help Jonas to find out his earnings last week, this way:
Number of hours worked by Jonas last week = 40
Number of hours worked by Jonas last week as swim instructor = 10
Number of hours worked by Jonas last week as lifeguard = 30
Rate per hour as lifeguard = $ 9
Rate per hour as swim instructor = $ 11
Now, we can answer the question:
Total earnings last week = 30 * 9 + 10 * 11
Total earnings last week = 270 + 110 = $ 380
The correct answer is D. 9 × 30 + 11 × 10; $380
Answer:
The answer is D, short and simple.
What is the value of x + 3/4 when x=1/8
Answer: 7/8
Step-by-step explanation: This is a substitution problem, from the expression x + ³/₄, where x = ¹/₈, we now replace or substitute for x and then solve the expression fractionally, the expression now becomes
¹/₈ + ³/₄
Now , find the l. c. m. of the denominator 8 and 4
1 + 6
= _____
8
= 7/8
NOTE: To get 1 and 6, you find out how many times 8 can go in the l. c. m. and later multiplied the number of times by the numerator which = 1.
And the number of times 4 can go in the l. c. m. (8) which is 2 times then multiplied by the numerator (3) = 6.
Adding 1 and 6 together gives 7/8.
a baker uses 40% more butter this month than last month if the baker used 210 kilograms of butter last month how much did it use this
Answer:
The amount of butter used by baker this month is 294 kilograms.
Step-by-step explanation:
The amount of butter used last month by the baker = 210 kilograms
Now, according to the question:
The amount of butter used this month
= Previous months's amount + 40% of previous month's usage
Calculating 40% of 210 kg:
[tex]\frac{40}{100} \times 210 = 84[/tex]
⇒40% of 210 kilograms = 84 kilograms
⇒ The amount of butter used this month
= 210 kg + 84 kg = 294 kg
Hence,the amount of butter used by baker this month is 294 kilograms.
The baker used 40% more butter this month than last month. To find this month's usage, calculate 40% of last month's usage (84 kilograms) and add it to last month's usage. The baker used 294 kilograms of butter this month.
Explanation:To answer this question, we can first calculate how much 40% of the butter used last month is. 40% of 210 kilograms is 84 kilograms. This is the amount of butter the baker used additionally this month than the previous month. If we add this to the amount of butter that was used last month (210 kilograms), we get the total amount of butter used this month. 210 kilograms + 84 kilograms = 294 kilograms. So the baker used 294 kilograms of butter this month.
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Which inequality is graphed below?
+
-5 -4
-3 -2 -1, 1
1
2
3
4
12 - 2x + 2
Without a clear graph or a well-defined inequality, it is not possible to determine which inequality is graphed. An inequality and its graph on the coordinate plane represent solutions to the inequality, such as regions to the right of a vertical line for x > 2.
Explanation:The student has asked which inequality is graphed. Unfortunately, the provided information is insufficient to determine the inequality or the graph in question. Moreover, the data given appears to be disorganized or incorrectly transcribed, making it impossible to provide a specific answer. For a proper response, one would need either a clear description of the graph or the correct functional form of the inequality.
To demonstrate inequalities and their graphs, one might typically use coordinate axes where solutions to the inequality are represented by regions of the plane. For example, the inequality x > 2 would be represented graphically by a shaded region to the right of the line x = 2 on a number line, or in two dimensions, to the right of the vertical line x = 2.
If the student can provide a clear and accurate description of the graph or the inequality they are inquiring about, a more precise answer could be given.
Cara computes the mean and variance for the set 87, 46, 90, 78, and 89. She finds the mean to be 78. Her steps for finding the variance are shown below.
Variance squared = StartFraction (87 minus 78) squared + (46 minus 78) squared + (90 minus 78) squared + (78 minus 78) squared + (89 minus 78) squared Over 5 EndFraction
Variance squared = StartFraction (9) squared minus (32) squared + (12) squared + 0 squared + (11) squared Over 5 EndFraction
Variance squared = StartFraction 81 minus 1,024 + 144 + 0 +121 Over 5 EndFraction
Variance squared = StartFraction negative 678 Over 5 EndFraction = negative 135.6
What is the first error Cara made in computing the variance?
Answer:
She put the negative sign for the 32 outside the parentheses
Step-by-step explanation:
in the formula the negitive is supposed to be inside the parentheses
The first error that Cara made was seen in the second step where she used "minus" (32) squared instead of "plus" (32).
What is Variance?Population variance (σ²) describes the way data points in a given population are distributed. It is the aggregate of the distances from each data set in the population towards the mean squared.
The population variance is a population parameter that is independent of research methodologies or sampling practices.
Mathematically, The correct calculation can be done by using the formula:
[tex]\mathbf{\sigma^2 = \dfrac{ \sum(x_i-\bar x)^2}{N}}[/tex]
[tex]\mathbf{\sigma^2 = \dfrac{ (87-78)^2 + (46-78)^2+ (90-78)^2+(78-78)^2+(89-78)^2}{5}}[/tex]
[tex]\mathbf{\sigma^2 = \dfrac{ (9)^2 + (-32)^2+ (12)^2+(0)^2+(11)^2}{5}}[/tex]
We can now see that the minus 32 is supposed to be in the bracket.
[tex]\mathbf{\sigma^2 = \dfrac{81+1024+ 44+0+121}{5}}[/tex]
[tex]\mathbf{\sigma^2 = \dfrac{1270}{5}}[/tex]
[tex]\mathbf{\sigma^2 = 254}[/tex]
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PLEASE HELP
NEED THIS SOOOOON
Answer: -12
Step-by-step explanation:
What is 1/2 devided by 4/6
Answer:
3/4
Step-by-step explanation:
1/2 divided by 4/6= 1/2 divided by 2/3
We can use reciprocals.
1/2 divided by 2/3= 1/2*3/2=3/4
What is the slope of the the line that goes through (4,3) and (8,5)
Formula to find the slope:
m = y2-y1 / x2-x1
(4,3); (8,5)
m= 5-3 / 8-4
m = 2/4
m = 1/2
Therefore, the slope of the line that passes through these points is 1/2
Solve this equation g-8=25
Answer:
Step-by-step explanation:
G-8=25
+8. +8
G= 33
You need 850 points to get to level 4 in a video game how many points do you need in level 3 to reach your goal ?
Mafalda has a save percentage of 0.7380 so far this hockey season. Last season, her save percentage was 0.5850.
How much has Mafalda's save percentage improved?
Mafalda's save percentage improved by 0.153.
Solution:
Given that, Mafalda has a save percentage of 0.7380 so far this hockey season
Last season, her save percentage was 0.5850
To find: Percentage improved
To find improvement in Mafalda's save percentage we will subtract last season's save percentage from this season's save percentage.
From given,
Last season save percentage = 0.5850
This season save percentage = 0.7380
Percentage improved = This season save percentage - Last season save percentage
[tex]Percentage\ Improved = 0.7380-0.5850\\\\Percentage\ Improved =0.153[/tex]
Thus Mafalda's save percentage improved by 0.153.
find the rate of change between the points (5, -4) and (-10, -20)
Answer:
-20+4=-16
-10-5=-15
=16/15
Final answer:
The rate of change between the points (5, -4) and (-10, -20) is found by calculating the slope, which is 16/15 or approximately 1.07.
Explanation:
To find the rate of change between two points, you can calculate the slope of the line that passes through them. The formula for the slope (Δy/Δx) is the difference in the y-coordinates divided by the difference in the x-coordinates of the two points.
Using the points (5, -4) and (-10, -20), we can substitute these into the slope formula:
Calculate the change in y (Δy): -20 - (-4) = -16.
Calculate the change in x (Δx): -10 - 5 = -15.
Divide the change in y by the change in x to find the slope: -16 / -15.
The slope of the line is therefore 16/15 or approximately 1.07.
plz i need help it is due for the next 3 minute. I w.will mark brainliest to first and fast answer :
if the sum of two numbers is 10 and product is 24 find the numbers
Answer:
4 and 6
Step-by-step explanation:
4 + 6 = 10
4 x 6 = 24
Answer:
i have solved the question in the picture above. I used factorization to solve the quadratic equation I can also solve using quadratic formula or completing the square method if you want just comment below and I will solve it thank you
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A.The difference of the medians is 2 times the interquartile range
B.The difference of the medians is 3 times the interquartile range.
C.The difference of the medians is 4 times the interquartile range.
D.The difference of the medians is 6 times the interquartile range.
Answer:
C. The difference of the medians is 4 times the interquartile range.
Step-by-step explanation:
The diagram show two box plots.
Mahoney's box plot:
Median [tex]=33[/tex]
Interquartile range [tex]=34-32=2[/tex]
Martin's box plot:
Median [tex]=41[/tex]
Interquartile range [tex]=42-40=2[/tex]
The interquartile ranges are the same.
The difference of the medians [tex]=41-33=8[/tex]
Hence, the difference of the medians is 4 times the interquartile range.
There is no standard relationship stating that the difference of medians is a certain multiple of the interquartile range. The median and interquartile range measure different aspects of a dataset (central tendency and dispersion, respectively), so comparing them in this way is not universally applicable.
Explanation:The question is asking about a theoretical relationship between the median and the interquartile range (IQR) in a set of data. However, in statistics, there's no standard relationship that states the difference of medians is a certain multiple of the interquartile range. The median is a measure of central tendency, or a 'middle' value of a dataset, while the interquartile range is a measure of dispersion, indicating the variability within the data. The difference between two medians or the comparison of a median to the interquartile range would be specific to a certain dataset, and it's not a universal relationship.
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RSM PROBLEM NEED HELP!!! If you add 10 grams of sugar into 30 grams of 20 % sugar syrup, you will make ____ grams of ____% sugar syrup. Thx!!
Answer:
40 grams of 40% sugar syrup
Step-by-step explanation:
It is 40g because you are adding 10g of sugar to 30g of syrup
It is 40 % syrup because you start out with 20% sugar in 30 g. That means the 1/5 of the syrup is sugar. That means that 6g is sugar. Then you add ten more grams of sugar. Now you have 16g of sugar in 40 grams of syrup.
Make equation to find percent
16/40=x/100
x=40
If you add 10 grams of sugar into 30 grams of 20 % sugar syrup, you will make 40 grams of 40% sugar syrup
What is Sugar Syrup?A combination of sugar and water that is cooked over a low to medium heat setting, stirring contents until the sugar is fully dissolved and the mixture is clear. The mixture is then boiled for approximately one minute.
How to solve?
It is 40g because you are adding 10g of sugar to 30g of syrup
It is 40 % syrup because you start out with 20% sugar in 30 g. That means 1/5 of the syrup is sugar. That means that 6g is sugar. Then you add ten more grams of sugar. Now you have 16g of sugar in 40 grams of syrup.
Make an equation to find the percentage;
16/40=x/100
x=40.
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At eagle bay, it cost $12 per hour to rent a canoe. Nate and his friends rented a canoe for 4 hours and paid $68. Write and solve a linear equation to find the cost of the canoe for 7 hours
To find the cost of renting a canoe for 7 hours, we can set up a linear equation using the given information. Using the point-slope form, we can find the equation of the line. Substituting x = 7 into the equation gives us the cost for 7 hours. The cost of renting a canoe for 7 hours is $100.25.
Explanation:To find the cost of renting a canoe for 7 hours, we can set up a linear equation using the given information. Let's define the variables:
x = number of hours
y = cost of renting a canoe for x hours
From the given information, we know that it cost $12 per hour to rent a canoe. Nate and his friends rented a canoe for 4 hours and paid $68. This gives us the first point on the line: (4, 68).
To find the equation, we can use the point-slope form: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
Using the slope formula, we can find the slope: m = (y2 - y1) / (x2 - x1) = (68 - 25) / (4 - 0) = 43 / 4 = 10.75.
Now we can plug in the values into the point-slope form: y - 68 = 10.75(x - 4).
To find the cost for 7 hours, we substitute x = 7 into the equation and solve for y: y - 68 = 10.75(7 - 4), y - 68 = 10.75 * 3, y - 68 = 32.25, y = 32.25 + 68, y = 100.25.
Therefore, the cost of renting a canoe for 7 hours is $100.25.
Final answer:
To calculate the cost of renting a canoe for 7 hours, first find the fixed cost by using the known rental time and cost. The equation is y = 12x + 20, where y is the total cost and x is the number of hours. For 7 hours, the cost is $104.
Explanation:
We are given that the cost to rent a canoe at Eagle Bay is $12 per hour. Nate and his friends rented the canoe for 4 hours, and they paid a total of $68. To find the equation, we need to consider that there might be a fixed cost in addition to the hourly charge. First, let's define our variables: let x be the number of hours the canoe is rented, and let y be the total cost.
Based on the information provided, we can create the equation y = 12x + b, where b is the possible fixed cost.
To find the fixed cost, we use the information that renting the canoe for 4 hours cost $68: 68 = 12(4) + b. Solving for b, we find:
68 = 48 + b
b = 68 - 48
b = 20
So, the fixed cost is $20, and the equation becomes y = 12x + 20. To find the cost of renting the canoe for 7 hours, we substitute 7 for x in our equation:
y = 12(7) + 20
y = 84 + 20
y = $104
The cost to rent the canoe for 7 hours would be $104.