First You do 30.75 x 12 This is because he said every month for a year and a year has 12 months The answer to 30.75 x 12 is 369 Now all you have to do is 550 - 369 = 181.
Hope this helps :D
Which statement describes the rate of change of the following function?
f(x) = -6x - 7
A.
The function has a varying rate of change when x < 7.
B.
The function has a constant rate of change, decreasing for all x at a rate of 6.
C.
The function has a varying rate of change when x < 6.
D.
The function has a constant rate of change, decreasing for all x at a rate of 7.
The correct answer is B. The function has a constant rate of change, decreasing for all x at a rate of 6.
In order to find the rate of change, we have to identify the slope. The slope is always the coefficient of x when in slope intercept form. In this case it is -6, which means it decreases at a rate of 6.
To describe the rate of change of the function \( f(x) = -6x - 7 \), we first need to understand that the rate of change in the context of a function, particularly a linear function, is another term for its slope.
Now, let's recall what the slope of a linear function means. A linear function is of the form \( y = mx + b \), where \( m \) is the slope, and \( b \) is the y-intercept. The slope \( m \) determines how steep the line is, and it represents the change in the y-value (the output of the function) for a unit change in the x-value (the input of the function).
Looking at the given function \( f(x) = -6x - 7 \), we can see it is in the same form as \( y = mx + b \), with the slope \( m = -6 \) and the y-intercept \( b = -7 \).
The slope being -6 means that for every one unit increase in \( x \), the function's value decreases by 6 units. This is a constant rate of change because it does not matter what the value of \( x \) is; the function will always decrease by 6 for every one unit increase in \( x \).
Now, let's examine the given statements:
A. The function has a varying rate of change when \( x < 7 \).
- This statement is incorrect because the slope is constant at -6, regardless of the value of \( x \).
B. The function has a constant rate of change, decreasing for all \( x \) at a rate of 6.
- This statement is correct; it accurately describes the behavior of a linear function with a slope of -6.
C. The function has a varying rate of change when \( x < 6 \).
- This statement is also incorrect because, once again, the rate of change (slope) is constant for all values of \( x \).
D. The function has a constant rate of change, decreasing for all \( x \) at a rate of 7.
- This statement is incorrect; the coefficient of \( x \) in the function, which represents the slope, is -6, not -7.
Based on our analysis, the correct answer is:
B. The function has a constant rate of change, decreasing for all \( x \) at a rate of 6.
6e - 7f = 8g + h, solve for f
Isolate the f. Note the equal sign. What you do to one side, you do to the other.
First, subtract 6e from both sides
6e (-6e) - 7f = 8g + h (-6e)
-7f = 8g + h - 6e
Divide -7 from both sides
(-7f)/-7 = (8g + h - 6e)/-7
f = -8/7g + h/-7 + 6/7e
f = -8/7g + h/-7 + 6/7e is your answer
hope this helps
How many numbers between 1 and 100 (inclusive) are divisible by 9 or 4?
There are 11 numbers divisible by 9 between 1 and 100, and 25 numbers divisible by 4 between 1 and 100. So there are 11 + 25 = 36, so 36 numbers divisible by one or the other, but this also includes every number which is divisible by both 9 and 4 twice.
Answer:34
Step-by-step explanation:
I had the answer on khaun academy
I NEED HELPP ASAP. im timed.
5. What property of equality is used to transform the equation from the first step to the second step?
[tex]\frac{x}{5}[/tex] =2 → X = 10
ANSWER
The Multiplicative Property of Equality
EXPLANATION
The Multiplicative Property of Equality allows us to multiply both sides of the given equation by the same quantity.
So for the given equation,
[tex]\frac{x}{5}=2[/tex]
When we multiply both sides by 5, we get;
[tex]5\times \frac{x}{5}=2\times 5[/tex]
[tex]\Rightarrow x=10[/tex]
What is the slope of this line?
The slope of this line is 1/4, because slope is rise/run. This line rises 1 for every 4 it runs. The slope is positive because the line is moving upward.
Write into algebraic expression. The Product of 9 and x, decreased by the sum of 8 and the square of x.
What is the sale price of the bicycle?
so if the original price of the bicycle is $360 and the sale price is 5/6 of that you would multiple $360 by 5/6 which equals 300 now thats NOT your final price you have one more step which is to subtract the sale (money off) the original price 360-60 so the sale price of the bicyle is $300
answer:
$300
step-by-step explanation:
our original price is $360 and we need find 5/6 of 360
our first step is to multiply 360 by 5 which is equal to 1,800
our next step is it divide by 6 which is equal to 300
so our sale price is $300
write the following comparison as a ratio reduced to lowest terms 16 days to 2 weeks
The ratio of 16 days to 2 weeks, when converted to the same units and reduced to its simplest form, is 8:7.
To write the comparison of 16 days to 2 weeks as a ratio in the lowest terms, we first need to express both quantities in the same units. There are 7 days in a week, so 2 weeks equal 14 days. The ratio between 16 days and 14 days is therefore 16:14. This ratio can be reduced to lowest terms by dividing both numbers by their greatest common divisor, which is 2. This gives us the reduced ratio of 8:7.
So, the ratio of 16 days to 2 weeks, reduced to lowest terms, is 8:7.
How is graphing (0,12) different from graphing (12,0)
By graphing the given points we understood that (0,12) is on the y-axis and (12,0) is on the x-axis.
We need to explain how is graphing (0,12) different from graphing (12,0).
How to plot the point on the cartesian plane?Given a point, (a, b), you plot the point in the Cartesian plane by finding the number a on the horizontal, or x-axis; then you trace directly up or down from that spot, moving parallel to the vertical, or y-axis until you reach the height of the number b.
Now, plot (0,12) and (12,0) on the Cartesian plane.
In the graph plotted we can see (0,12) is on the y-axis and (12,0) is on the x-axis.
Therefore, by graphing the given points we understood that (0,12) is on the y-axis and (12,0) is on the x-axis.
To learn more about the points on the x-axis and y-axis visit:
https://brainly.com/question/3451809.
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Please simplify the following distributive property expression:
7(x-4)
Final answer:
To simplify 7(x-4), distribute 7 over x and -4 to get 7x - 28. This is an application of the distributive property in algebra.
Explanation:
To simplify the expression 7(x-4) using the distributive property, you multiply the number outside the parenthesis, which is 7, by each term inside the parenthesis. The distributive property allows us to remove the parentheses by distributing the multiplication over the subtraction within.
Here is the step-by-step simplification:
Multiply 7 by x, which is 7x.
Multiply 7 by -4, which is -28.
Combine the results to get 7x - 28.
Therefore, 7(x-4) simplifies to 7x - 28.
A robot travels from position A to B to C to D, What composition of rigid motions represents those moves?
Assuming each movement is in a straight line, the composition
T <1,3> o T <4,0> o T <2,3>represents the moves.
Each movement is in a straight line, the composition represents the moves <-5, 1>, <-3, 4>, <1, 4> and <2, 7>.
Given that, a robot travels from position A to B to C to D.
We need to find what composition of rigid motions represents those moves.
What is the composition of rigid motions?Any way of moving all the points in the plane such that
a) the relative distance between points stays the same and
b) the relative position of the points stays the same.
There are four types of rigid motions that we will consider: translation, rotation, reflection, and glide reflection.
In a translation, everything is moved by the same amount and in the same direction. Every translation has a direction and a distance.
Therefore, each movement is in a straight line, the composition represents the moves <-5, 1>, <-3, 4>, <1, 4> and <2, 7>.
To learn more about the composition of rigid motions visit:
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whats the reciprocal of 1 8/11
First, change the mixed fraction into improper fraction. Change the whole number into a fraction, and add.
1 8/11 = 11/11 + 8/11 = 19/11
To find the reciprocal, flip the fraction.
The reciprocal of 19/11 is 11/19
hope this helps
Final answer:
The reciprocal of 1 ⁸/₁₁ is 11/19, which is calculated by first converting the mixed number to an improper fraction (19/11) and then flipping the numerator and denominator to get the reciprocal.
Explanation:
To find the reciprocal of 1 ⁸/₁₁ , you first need to convert the mixed number to an improper fraction. To do this, multiply the whole number by the denominator, add the numerator, and then write the result over the original denominator. In this case, 1 ⁸/₁₁ becomes (1×11 + 8)/11, which simplifies to 19/11.
Now, the reciprocal of a fraction is obtained by flipping the numerator and denominator. So the reciprocal of 19/11 is 11/19. Therefore, the reciprocal of 1 ⁸/₁₁ is 11/19.
Understanding the concept of reciprocals is important in mathematics because dividing by a number is the same as multiplying by its reciprocal. In this context, dividing by 1 8/11 is equivalent to multiplying by 11/19.
A room’s floor is y meters long. It’s width is 5 meters shorter. If the perimeter of the floor is (4y + 1) meters, can you solve for it’s length?
We know that the perimeter of a rectangle is:
[tex]P=2L+2W[/tex] (1)
Where:
P is the perimeter
L: it's the long
W: is the width
They tell us that the perimeter is:
(4y + 1)
The long is y
The width is y-5.
Then we can write equation (1) as follows:
[tex](4y + 1)=2y+2(y-5)[/tex]
[tex]4y+1=4y-10\\[/tex]
[tex]1 = -10\\[/tex]
The equation can not be solved and, therefore, it is not possible to find the value of "y" with the information provided.
I am a whole number. When rounded to the nearest ten, the answer is 210. The sum of my digits is 4. What number am I?
i think the answer is 214 i am not sure but i think it is
The number you are looking for is 211.
To find the number that meets the given criteria, we need to consider a few steps
1. The number, when rounded to the nearest ten, is 210.
2. The sum of the digits of the number is 4.
First, let's consider the numbers that round to 210 when rounded to the nearest ten. These numbers fall within the range of 205 to 214 (inclusive).
Next, let's identify which of these numbers has digits that sum to 4.
- 205: (2 + 0 + 5 = 7)
- 206: (2 + 0 + 6 = 8)
- 207: (2 + 0 + 7 = 9)
- 208: (2 + 0 + 8 = 10)
- 209: (2 + 0 + 9 = 11)
- 210: (2 + 1 + 0 = 3)
- 211: (2 + 1 + 1 = 4)
- 212: (2 + 1 + 2 = 5)
- 213: (2 + 1 + 3 = 6)
- 214: (2 + 1 + 4 = 7)
From this list, the number 211 is the only number within the range that has digits summing to 4.
how can i use variables to describe real world problems
A variable can be used to represent an unknown amount. Then you write an equation using the variable and based on the information you are given, and you solve the equation to find the unknown amount.
Here is an example.
Mary has money in a bank account. She received $20 for her birthday. She deposited the $20 in her account. After the deposit, she was told the account had a balance of $85. How much money did she have in the account before depositing the $20?
We don't know the amount she had before depositing the $20, so we will call that amount x. x is a letter used as a variable to represent an unknown amount.
She had x dollars in her account before depositing the $20.
After she deposited the $20, she now has x plus 20, or x + 20.
We are told her account now has $85, so x + 20 must equal 85.
That allows us to write an equation which we can then solve to find the amount of money she had in the account before depositing the $20.
x + 20 = 85
Subtract 20 from both sides.
x + 20 - 20 = 85 - 20
x + 0 = 65
x = 65
Since the variable x represents the amount of money in the account before depositing the $20 birthday money, we can now answer the question.
Mary had $65.
you can use varibales in real life problems by using them to describe the constants
please help me please
a. sum of angles in triangle
b. supplementary angles
c. sum of angles is triangle=180 and supplementary angles =180
d. Parts whole postulate/subtraction
e. exterior angle equals the sum of the 2 remote interior angles
You are planning to run the distance on both Thursday and Friday. Write and solve an equation to find the number of mi. you need to run each day so you run a total of 13.1 miles over the five days.
Mon. 4.2
Tues. 1.6
Wed. 3.9
Thurs. x
Fri. x
after everything you've ran the total would be 9.7 but you'll need to run a total of 13.1 so you still need to run 3.4 miles so you Thursday and Friday you'll run 1.7 each.
Which is a correct verbal expression for 9+ n?
Nine plus a unknown number equals unknown.
Answer:
The sum of 9 and a number.
Step-by-step explanation:
Sum = Add.
9 = 9
Number = n
Hope this helps :-)
0.02 is ten times as much as 0.2
No, 0.2 is ten times greater than 0.02
What is the price per mug for 25 coffee mugs?
Find the price per T-shirt for 75 T-shirt
$ 4.29 for mugs
and
$8.50 for T-Shirts
Happy New Year!46 out of 310 seniors graduate with honors. What is the ratio of seniors graduating with honors to the total number of seniors
Final answer:
The ratio of seniors graduating with honors to the total number of seniors is 46/310, which simplifies to 23/155.
Explanation:
To find the ratio of seniors graduating with honors to the total number of seniors, you would divide the number of seniors graduating with honors by the total number of seniors. In this case, 46 seniors graduate with honors out of a total of 310 seniors.
Therefore, the ratio is 46/310, which can be simplified to 23/155 when reduced to the lowest terms.
Which is another way to express the problem 1 - (-7)
1+7
because when there are two negatives together you turn it into a positive and add
1 + 7
Because two negatives makes a positive. Hope this helps!
34÷3536
with a remainder please
0.00961538461
I typed this for 20 characters
30% of the cars sold by Car Dealer A were blue. 50% of the cars sold by Car Dealer B were blue. Which statement must be true?
If both dealers sold the same number of cars, Car Dealer B sold 20 more blue cars.
Car Dealer B sold more blue cars than Car Dealer A did.
If Car Dealer A sold 50 total cars, 30 would be blue.
If both dealers sold 70 total cars, Car Dealer B sold 14 more blue cars.
Answer:
If both dealers sold 70 total cars, Car Dealer B sold 14 more blue cars.
Step-by-step explanation:
If dealer A sold 70 cars, this means they sold
0.3(70) = 21 blue cars.
If dealer B sold 70 cars, this means they sold
0.5(70) = 35 blue cars.
This is 35-21 = 14 more blue cars than dealer A.
Answer:
If both dealers sold 70 total cars, Car Dealer B sold 14 more blue cars.
Step-by-step explanation:
math
:0
one integer is 5 more than another. their product is 50. Find the integers
The FunWorld Obstacle Course is scored by awarding 10 points for every activity that is passed and by deducting 5 points for every activity that is failed. Bob passed 4 activities and failed 3 activities. Tom passed 7 activities and failed 4 activities. Who got a higher score?
Bob passed 4 activities, so 4 x 10 = 40 points. He failed 3, so 3 x 5 = 15
Total points = 40-15 = 25 points.
Tom passed 7, so 7 x 10 = 70 points. He failed 4, so 4 x 5 = 20
Total points = 70-20 = 50 points.
Tom got a higher score.
solve for the following equation for x: a+x=y
x=a-y
We find this by subtracting a from both sides to find x.
x = y - a
isolate x by subtracting a from both sides of the equation
x = y - a
can y’all help please . i don’t know how to do this .
The graph below represents the solution set of which inequality
well, i need to see the graph to answer it lol. what is the graph?
Answer:
B: x^2 + 2x – 8 < 0
Step-by-step explanation:
edge
A school club wants to buy shirts for each of its 38 members. Each shirt cost $23. About how much money will all the shirts cost.
Answer: $874
Step-by-step explanation: multiply 23 by 38 to get the total cost
Answer:
874
Step-by-step explanation:
23 times 38 = 874
38 members, and it costs $23. So that's 38 shirts, costing $23 each.
Hope this was helpful! Good luck.