B.) 15d+100
100 is a sure value as he earned it
We do not know how many days he worked, therefore variable d is used to represent d amount of days, but we do know he recieved $15 for everyday that he did work
How many integers n leave remainder 4 when divided by 7, if n satisfies the given inequality?
|−n|<46
PLEASE SHOW YOUR WORK
The integer n can take any value between -45 and 45, satisfying the given inequality |−n| < 46 and leaving a remainder of 4 when divided by 7.
Explanation:An integer n leaves a remainder of 4 when divided by 7 if it satisfies the given inequality |−n| < 46.
To find the possible values of n, we can solve the inequality.
|-n| < 46 → -n < 46 and -n > -46 → 46 > n > -46.
Therefore, n can take any integer value between -45 and 45, with the condition that it leaves a remainder of 4 when divided by 7.
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Which statement about this equation is true? 3 (4x – 2) = 12x
The equation has one solution.
The equation has no solution.
The equation has a few solutions.
The equation has many solutions.
I did the work, and the quiz.
Your answer is A.
Answer: the equation has no solution.
I really hope this helps :)
-Izzie
given f(x) = 5x^6 and g(x) = 15x^-2, what is f(x)/g(x)?
A)x^8/3
B) 3x^8
C) x^4/3
D) 3x^4
Answer:
The correct answer here for [tex]\frac{f(x)}{g(x)}[/tex] is A [tex]\frac{x^8}{3}[/tex]
Step-by-step explanation:
[tex]\frac{f(x)}{g(x)} =\frac{5x^6}{15x^-2}[/tex]
By simplifying,
[tex]\frac{f(x)}{g(x)} =\frac{x^6}{3x^-2}[/tex]
Simplifying the exponents of [tex]x[/tex]
[tex]\frac{f(x)}{g(x)} =\frac{x^8}{3}[/tex]
Therefor the correct answer is [tex]\frac{x^8}{3}[/tex]
what is the slope intercept form for 2x+8y=32
the slope is 1/4
and the y intercept is -4
Hope this helps
Answer:
y = -1/4x +4
Step-by-step explanation:
Slope intercept form of a line will have y on the left and mx+c on the right.
y = mx+c
Here m is the slope and c is the intercept
Any form of line can be brought to slope intercept form
Given that 2x+8y =32
We have to keep y along on left side
Hence subtract 2x first
8y =-2x+32
Now divide by 8
y = -1/4x +4 is the equation in slope intercept form
What is the median for the bar graph below?
6
5
4
3
Hi!
Median:
0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6,
Answer - D. 3
Tin A has red paint and blue paint in the ratio 2:3. Tin B has red paint and blue paint in the ratio 4:5. Which tin has the greater proportion of blue paint? Explain how you know.
Non example of division
By non example of division, it means that example for the situation where division is not possible.
Let x be any real number. We can divide x by any number except 0.
Hence, division by zero is a perfect non example for division.
PLEASE HURRY!!!
What is 2.64E20 in standard form?
The answer could be 2.64e+20
Which polynomial cannot be solved using the quadratic formula ?
A. X^2-2x-5= 0
B. X^5-2x^3= 0
C. X^2+ 2x-5= 0
D. X^2+ 2x+ 5 = 0
You are one of 55 people whose name will be drawn for a prize. What is the probability that your name will be drawn first?
A- 1/55
B- 1/52
C- 1/53
D- 1/57
Your answer will be 1/55 or A because, at the beginning of the problem it states "you are one of 55 people" ((:
The probability that your name will be drawn first out of 55 people is 1/55.
Explanation:The probability that your name will be drawn first out of 55 people can be calculated using the formula:
Probability = 1/Total number of people
Therefore, the probability that your name is drawn first is:
Probability = 1/55
So the correct option is A - 1/55.
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What value of x makes the equation -5x - (-7 - 4x) = -2(3x - 4) true?
Answer:
x=1/5
Step-by-step explanation:
-5x-(7-4x)=-2(3x-4)
-5x+7+4x=6x-8
-5x+6x+4x=5x = 8-7=1
5x = 1
1/5 = x
x = 1/5
Whats The Answer And the Steps to Get the answer
The answer is 1 7/8. I got this by first looking at the two negatives. Negative times a negative is always a positive.So if you would write this expression again it would look like: -3 1/4 + 5 1/8
Now you find the common denominator which is 8. Convert -3 1/4 to have a denominator of 8: -3 2/8
Now you can convert both of those fractions into improper fractions: -26/8+41/8
Compute: 15/8
You can either leave your answer like that or you can change it into a mixed fraction :
1 7/8
Graph the inequality y> 2x +3
Graph the inequality y> 2x +3
Solution
Step 1: To graph the inequality, we need to find a few coordinates and form the table.
Step 2: Forming the table.
Let's take x = -1 and find the value of y.
Plug in x = -1 and find the value of y.
y = 2(-1) + 3 = -2 + 3 = 1
When x = -1, the value of y is 1.
So the coordinates are (-1, 1)
Plug in x = 0 and find the value of y.
y = 2(0) + 3 = 3
The coordinates are (0, 3)
Plug in x =1 and find the value of y.
y = 2(1) + 3 = 2 + 3 = 5
The coordinates are (1, 5)
Steo 3: Now let's plot the points and draw the graph.
Since the graph is greater than, we have to draw the dotted lines and shade the region above.
Note: You can find the graph in the attachment.
Thank you :)
need help wirh apex classes im not good at agebra
g(x) = ax²
We have a point (1, 16)
Substitute
x = 1, g(x) = 16
a(1²) = 16
a = 16
g(x) = 16x² = 4²x² = (4x)²
Answer: A. g(x) = (4x)²
Please help! I will be so thankful!
Answer:
Step-by-step explanation:
Solution is given in attachment
Solve this 2 system equations 2x - y = 7 and 6x - 3y = 14
Answer:
No solution
Step-by-step explanation:
Consider the given two lines
2x-y = 7 and 6x-3y = 14
Multiply the first equation by 3
6x-3y = 21 and Ii equation is 6x-3y =14
We observe both are of the 6x-3y = k for different ks
Hence these two are parallel lines.
As parallel lines never meet these line will not meet at all.
There cannot be any solution for this system.
If we subtract 6x-3y = 21 from 6x-3y = 14, we get absurd result as
0 = 7
This confirms that this system cannot be solved.
ANIMEBRAINLY!
3. Edward tells Tom and his brother that any two different gym memberships will eventually have a month in which they are the same cost. So he believes any gym's membership will eventually have a month in which the cost is the same as Platinum Gym's. Describe a membership situation that will make Edward's statement untrue.
Answer:
Remember that: "Platinum Gym charges a one-time registration fee of $60, and membership is $20 a month."
We are solving for a membership that will make Edward's statement untrue, that the gym membership fee will NOT have a month where the cost is the same.
For example, I can say that:
" Bob's Gym charges a one-time registration fee of $50, and membership is $10 a month ".
In this case, the pricing is much lower than Platinum Gym's and would not have a chance of getting the same cost in the same month.
Another example can be:
" SuperSneaker's charges a one-time registration fee of $100, and membership is $30. "
Again, the cost is much more higher than Platinum Gym's and would not have a chance of getting the same cost in the same month.
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hope this helps
You plan to replace the carpeting in the room shown. What is the area of the room
In simplified exponential notation, the expression a 2 • a -3 • a =
1/a
0
1
Answer:
[tex]a^0=1[/tex]
Step-by-step explanation:
[tex]a^2\cdota^{-3}\cdota=a^{2+(-3)+1}=a^0=1\ for\ a\neq0[/tex]
Used:
[tex]a^n\cdot a^m=a^{n+m}[/tex]
How to solve 2^x = 550?
2 squared X= 550
x = 550 square root
x=23.45
The solution to the equation [tex]2^x[/tex] = 550 is x ≈ 9.0959.
To solve the equation [tex]2^x[/tex] = 550, we need to isolate the variable 'x'. Here's the step-by-step process:
1. Take the logarithm (base 2) of both sides of the equation:
log2([tex]2^x[/tex]) = log2(550)
Using the property of logarithms, logb([tex]b^x[/tex]) = x, we have:
x = log2(550)
2. In this case, since we want to find x, we can use the logarithm function with base 2:
x ≈ log2(550) ≈ 9.0959
Therefore, the solution to the equation [tex]2^x[/tex] = 550 is x ≈ 9.0959.
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In which form is the following function written?
y=-2x^2+5x-1
Answer:
Standard Form
Step-by-step explanation:
we know that
A quadratic function written in standard form is
[tex]y=ax^{2} +bx+c[/tex]
in this problem we have
[tex]y=2x^{2} +5x-1[/tex]
so
[tex]a=2\\b=5\\c=-1[/tex]
Final answer:
The function y = -2x² + 5x - 1 is written in standard form, which for a quadratic function is ax² + bx + c.
Explanation:
The function given is y = -2x² + 5x - 1. This function is written in standard form, which is characterized by the quadratic term, followed by the linear term, and then the constant term. The general form of a quadratic function is ax² + bx + c, where a, b, and c are constants, and in this case, a is -2, b is 5, and c is -1.
Point B has coordinates (5,2). The x-coordinate of point A is negative 7. The distance between point A and point B is 13 units. What are the possible coordinates of point A?
Final answer:
To find the possible coordinates of point A with a known x-coordinate of -7 and a distance of 13 units from point B (5, 2), we used the distance formula and found two possible y-coordinates for point A, which are -3 and 7. Hence, the possible coordinates for point A are (-7, -3) and (-7, 7).
Explanation:
The question asks for the possible coordinates of point A given that point B has coordinates (5, 2), the x-coordinate of point A is -7, and the distance between points A and B is 13 units. To find the y-coordinate of point A, we can use the distance formula d = √((x2 - x1)^2 + (y2 - y1)^2). Substituting the known values, we have:
13 = √((5 - (-7))^2 + (2 - y1)^2)
Squaring both sides of the equation, we get:
169 = (12)^2 + (2 - y1)^2
This simplifies to:
169 = 144 + (2 - y1)^2
Subtract 144 from both sides:
25 = (2 - y1)^2
Now, taking the square root of both sides, we get two possible solutions for the y-coordinate:
y1 = 2 ± 5
Thus, the possible y-coordinates of point A are -3 and 7. Therefore, the possible coordinates for point A are (-7, -3) and (-7, 7).
In a student opinion poll at Jump Middle School 27.5% of the students who responded chose football as their favorite sport. Basketball was chosen by 17.5% of the students who responded. The rest of the people chose “other” sports. “Other” sports were chosen by 44 people in the poll. What is the total number of the people who responded to the poll?
Answer-
The total number of the 80 students responded to the poll.
Solution-
The percentage of student who responded that football was their favorite sport = 27.5%
The percentage of student who responded that basketball was their favorite sport = 17.5%
As the remaining students opted for others, so the percentage of student who opted other sport = 100-(27.5+17.5) = 100-45 = 55%
The number of student who chose others, was found to be 44. If total number of student participated in the opinion poll was x, then
[tex]\Rightarrow x \times\frac{55}{100} =44[/tex]
[tex]\Rightarrow x=44 \times\frac{100}{55}=80[/tex]
∴ The total number of the people who responded to the poll was 80.
a blank is a fraction with a denominator of 1
What is the value of the expression evaluated for x = 12?
Answer:
A)-26
Step-by-step explanation:
Answer:
-26
Step-by-step explanation:
meaning of mean medium and mode
The Mean is the value of all the numbers in a data set added together and divided by the amount of numbers there are for example the mean of the set 2,5,8,9 is 6.
The median is the middle values of all the numbers. If there are 2 medians, you usually have to add them both and divide by 2 to get the actual median
The mode is the number(s) that show up the most in the data set. for example, the mode of the data set 2,2,3,4,4,4,6,9 is 4, because it is repeated 3 times.
hope this helped!
An automobile saleswoman earns 12% on all of her sales. Last month, she sold 3 cars for a total sales amount of $28,950. What is her commission?
Answer:
3474
Step-by-step explanation:
28,950/100=289.5 289.5*12=3474
The total commission earned by the saleswomen on the sales of three cars is $3474.
What is the meaning of the term commission?Sales commission is an important component of sales compensation. It is the sum of cash earned by a salesperson according to the number of sales made. This is extra money that often supplements a regular salary.For the given question;
Total commission on the sales of an automobile by saleswomen is 12%.
Total last month sales = $28,950.
Then,
12% of $28,950 is;
= 12 × $28,950 / 100
= $3474
Thus, the total commission earned by the saleswomen on the sales of three cars is $3474.
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Find the equation of the line that is perpendicular to y=-3/4x+1 and contains the point (9,12).
The equation of the perpendicular line is y= 4/3x
How to determine the line equation?The equation is given as:
y = -3/4x + 1
The slope of the above equation is;
m = -3/4
Let the slope of the perpendicular line be n.
So, we have:
n = -1/m
This gives
n = -1/(-3/4)
Evaluate
n = 4/3
The equation of the line is then calculated as:
y = n(x - x1) + y1
This gives
y = 4/3(x - 9) + 12
Evaluate
y= 4/3x - 12 + 12
Evaluate the like terms
y= 4/3x
Hence, the equation of the perpendicular line is y= 4/3x
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The equation of the line that is perpendicular to the line y=-3/4x+1 and passes through the point (9,12) is y = 4/3x + 1.
Explanation:To solve your question, we first need to identify the slope of the given line. The equation y=-3/4x+1 is in the form y=mx+b, where m represents slope. So, the slope of the given line is -3/4.
But we require an equation that's perpendicular to this line, so its slope will be the negative reciprocal of -3/4, which is 4/3. Now, we have the slope of the new line, and we know it passes through point (9,12).
With that information, we use the point-slope formula, y - y1 = m (x - x1), where m is the slope and (x1, y1) is the point through which the line passes. Here, x1=9, y1=12 and m=4/3. Substituting these values in gives us y - 12 = 4/3 (x - 9). Simplifying yields the equation y = 4/3x + 1, which is the equation of the line that is perpendicular to the given line and passes through the point (9,12).
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Elaine had m dollars in her checking account. On December 8, she deposited $1,200, r dollars, and $568.90. She also cashed a check for t dollars and one for $73.70. Write an algebraic expression that represents the amount of money in her account after the transactions.
Initial amount in Elaine's account = m dollars ---- (1)
On December 8, total money deposited by Elaine = 1200 + r + 568.9
= r + 1768.9 ----- (2)
Total money on her account now = m + r + 1768.9
Total money she cashed by cheques = t + 73.7.
Therefore, her current balance in her account = (m + r + 1768.9) - (t + 73.7)
= (m + r - t) + 1695.2.
Hence, the algebraic expression that represents the amount of money in her account after the transactions is (m + r - t) + 1695.2.
Final answer:
Elaine's checking account balance after her transactions is represented by the algebraic expression m + 1200 + r + 568.90 - t - 73.70, with m being her initial balance, r the amount deposited, and t the amount from the check that was cashed.
Explanation:
Elaine had m dollars in her checking account. After various transactions, we can represent the amount of money in her account with an algebraic expression. The transactions include deposits and cashed checks. The deposits add money to her account, while cashing checks subtract money from her account.
To calculate the new balance, the following expression can be used:
New Balance = original balance + sum of deposits - sum of cashed checks
In Elaine's case, her initial balance is m dollars. She deposited $1,200, r dollars, and $568.90, which are added to her account. She also cashed checks for t dollars and for $73.70, which are subtracted from her account. Therefore, the algebraic expression representing the new account balance after these transactions would be:
m + 1200 + r + 568.90 - t - 73.70
you roll a six sided die three times. what is the size of the sample space after those three rolls?
The answer is 216 because we will compute 6^3 = 6*6*6 = 36*6 = 216
If we had 2 dice rolled out, then it would be 6^2 = 6*6 = 36. For each die added, we multiply another 6 because the die has 6 sides.
Visually, 2 dice form a 2D table of 36 possible outcomes. Three dice form a 3D cube of possible outcomes (a 6 by 6 by 6 cube with volume 216). You can think of it like a rubix cube. Each sub-block would house a possible combo such as {2,1,7} meaning that you rolled a '2' on the first die, a '1' on the second die, and a '7' on the third die.
Note: rolling a single die 3 times will produce the same sample space as rolling three separate dice 1 time.
216 is the answer to it