The equation that shows a proportional relationship is y = 7x.
How to find the equation that is proportional?Two variables have a proportional relationship if all the ratios of the variables are equivalent.
In other words, a proportional relationship is one in which two quantities vary directly with each other.
Therefore, a proportional relationship can be represented as y = kx.
where
k = constant of proportionalitythe variables are x and yTherefore, y varies directly as x in a proportional relationship.
Hence, the equation that shows proportional relationship is y = 7x as 7 is the constant of proportionality. y and x are the variables.
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Answer:
y = 7x
Step-by-step explanation:
the proportional relationship is y = 7x as 7 is the constant of proportionality. y and x are the variables.
What is the slope of the line shown
Can someone fill in the blanks for me pls :( :( omg.
Answer:
w(15)=112.5
Step-by-step explanation:
All you have to do is put the number in the parentheses in the place of the variable, which in this case is h, and perform the prescribed operation.
In this case, you make the equation w(15)=7.5(15) which you can rewrite as
w(15)= 7.5×15, which gives . you 112.5 as the product.
If I || m, identify the angle pair as congruent or supplementary.
Justify your reasoning by classifying the angle pair.
Angle Pair
Congruent or
Supplementary?
Classify
10. 21 and 28
11. 25 and 26
12. Z6 and 28
13. 22 and 23
14. 24 and 27
15. 23 and 26
Answer/Step-by-step explanation:
10. <1 and <8 are congruent.
Reason/classification: alternate exterior angles
11. <5 and <6 are supplementary.
Reason/classification: linear pair
12. <6 and <8 are congruent.
Reason/classification: corresponding angles
13. <2 and <3 are supplementary.
Reason/classification: same side interior angles
14. <4 and <7 are congruent.
Reason/classification: vertical angles
15. <3 and <6 are congruent.
Reason/classification: alternate interior angles
What was the distance from P to n, shown in the figure?
A. -3
B. 1
C. 4
D. 5
Answer:
D. 5
Step-by-step explanation:
Assuming 1 box = 1 unit on the coordinate grid, therefore:
Coordinate of point P on the graph = 1
Coordinate of the point at which the ray from point P meets at line n = -4
Distance from P to n = |1 - (-4)|
= |1 + 4|
Distance from P to n = 5 units
The answer is D. 5
Is -6 greater than, less than, of equal too -4
Answer:
-6 in less than -4.
Answer:
-6 less than -4
Step-by-step explanation:
-6 is less because on the number line it will look like it's before -4
Hope this helps!!!
The table shows the balance (in dollars) of a bank account each month for three months. What is the average balance of the account?
Answer:
$1,126.37
Step-by-step Explanation:
Given:
Account balance for:
Month 1 = $1285.12
Month 2 = $961.36
Month 3 = $1132.63
Required:
Average balance of account
SOLUTION:
Average balance of account = sum of account balance for the 3 months ÷ 3
Average balance of account = [tex] \frac{1285.12 + 961.36 + 1132.63}{3} [/tex]
Average balance of account = [tex] \frac{3,379.11}{3} [/tex]
Average balance of account = [tex] 1,126.37 [/tex]
Answer:
$1,126.37
Step-by-step Explanation:
Given:
Account balance for:
Month 1 = $1285.12
Month 2 = $961.36
Month 3 = $1132.63
Required:
Average balance of account
SOLUTION:
Average balance of account = sum of account balance for the 3 months ÷ 3
Average balance of account =
Average balance of account =
Average balance of account =
jenny was shopping and found a bag that was marked with a discount of 1/3 off if the original cost of the bag was 80 how much will jenny pay
Answer:
53.33
Step-by-step explanation:
1/3 of it is 26.66 continuing so it's rounded up
therefore, 80-26.67 is 53.33
In exercise teacher wants each student in her class to have at least 48 ft.² of space on the floor. What is the largest number of student she will allow in a classroom with a student exercise area of this size?
Answer: D. 50 students
pls give me brainliest.
Step-by-step explanation: First we find the area of the classroom which is worked out below and it is the shape of a rectangle;
Area of a rectangle = Length * Breadth
= 60 ft * 40 ft
= 2400 ft²
Now to find the number of students that she will allow in the classroom, we have to divide the area of the classroom which is 2400 ft²by the amount of space allocated to each student which will be;
=
= 50
This means she will allow 50 students into her class.
1 pts
Question 2
data allowed
Aaron's cell phone plan includes 3GB of data. On the 21st day of his billing period, Aaron received a message from his service provider that he already used 80% of
for the 31-day period. At this rate, when wil he need to pay for additional data?
Answer:
He need to On the 26th day of his billing
Step-by-step explanation:
Given:
Amount of data = 3 gb
80% data used in 21 days
Find:
Number of days for additional data
Computation:
Total number of days = 21(100/80)
Total number of days = 26.25 days
He need to On the 26th day of his billing
Sadie works 5 more hours than Kerry does, and Mark works 2 hours less than Kerry. Together they work 120 hours. How many hours does each person work?
Answer:
Sadie:44 Kerry:39 mark:37
Step-by-step explanation:
(5+w) + w + (w-2)=120
-5 from both sides
w+w+(w-2)=115
+2 from both sides
w+w+w=117
117/3 = w
Where did Emory make a error?
Answer:
Hope it help you
Stayhomestaysafe
Plz mark my answer brainliest✍️✍️
Step-by-step explanation:
Some problem in system
REAL NAME - SHRESTH DUBEY
MATH 2 HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Vertical stretch of 2
Step-by-step explanation:
Since there is no fraction, it wouldn't be a shrink, and there's a negative symbol therefore it would also be a reflection, and it wouldn't translate down because it's not inside parenthesis or the square root, and it would actually translate up three, therefore it's a vertical stretch of two
Jaime’s older brother and his three friends want to split the cost of lunch. They also want to leave a 15%–20% tip. How much should each person pay?
Answer:
First you have to split the cost of the meal and percentage so
$78.00 divided by 4 that's $19.50 each then after the 20% each would pay $23.40
Each person pay $23.4.
Given, from the fig the total cost of lunch without tip is $78.
Now, Jaime’s older brother and his three friends want to split the cost of lunch between them. So there is total 4 person.
Now each person have to pay [tex]\frac{78}{4} = $ 19.5[/tex] dollars.
Further they decided to pay tip say 20% so, the amount of tip is 20% of $78.
On calculating amount of tip [tex]=\frac{20}{100} \times 78=15.6[/tex].
Tip is divided among them so per person has to pay tip [tex]=\frac{15.6}{4} =3.9[/tex] dollars.
So, the total amount each person has to pay [tex]=19.5+3.9=23.4[/tex] dollars.
Hence each person pay $23.4.
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A bag had 7 orange rocks , 6 green rock , 1 white rock ,7 black rocks , and 2 yellow you randomly pull a rock from the bag ,keep it out , and then pull out another one .
What is the probability of getting a yellow rock and then a n orange rock ?
Answer:
[tex]Probability = \frac{7}{253}[/tex]
Step-by-step explanation:
Given
[tex]Orange = 7[/tex]
[tex]Green = 6[/tex]
[tex]White = 1[/tex]
[tex]Black = 7[/tex]
[tex]Yellow = 2[/tex]
Required
Probability of selecting a yellow then orange rock
From the question, we understand that the probability is that of without replacement.
Since the yellow, is first picked.
We need to determine the probability of picking a yellow rock, first.
[tex]P(Yellow) = \frac{n(Yellow)}{Total}[/tex]
[tex]P(Yellow) = \frac{2}{7 + 6 + 1 + 7 + 2}[/tex]
[tex]P(Yellow) = \frac{2}{23}[/tex]
The rock has reduced by 1;
Next is to determine the probability of picking an orange rock
[tex]P(Orange) = \frac{n(Orange)}{Total - 1}[/tex]
[tex]P(Orange) = \frac{7}{7 + 6 + 1 + 7 + 2- 1}[/tex]
[tex]P(Orange) = \frac{7}{22}[/tex]
The required probability is calculated as thus:
[tex]Probability = P(Yellow) * P(Orange)[/tex]
[tex]Probability = \frac{2}{23} * \frac{7}{22}[/tex]
[tex]Probability = \frac{14}{506}[/tex]
[tex]Probability = \frac{7}{253}[/tex]
What are the real and imaginary parts of the complex number?
−7+8i
Enter your answers in the boxes.
Answer: The real part is -7, the imaginary part is 8i
Step-by-step explanation:
Answer: The Real Part: -7
The imaginary Part: 8i
Step-by-step explanation:
NEED HELP IM BEGGING YOU PLEASE!!!!!!!!!!!!!
Answer:
No
Step-by-step explanation:
-3 is supposed to be the answer for b so let's substitute -3 for b.
5(-3)+1=16
-15+1≠16
-15+1 is actually equal to -14
if the -3 would have been positive then it would be correct
549 divided by 61. Dont round the answer
Answer:
9
Step-by-step explanation:
Answer: The Answer is 9 i'm really sure this is the answer
PLSSS!!!!! HELP ME!!!! I WILL MARK U!!! MATH!!!!!!!!!!!!
Answer:
48
Step-by-step explanation:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep 1: Define
bc² - b
b = 2
c = -5
Step 2: Substitute and Evaluate
Substitute: 2(-5)² - 2Exponents: 2(25) - 2Multiply: 50 - 2Subtract: 48Answer:
48
Step-by-step explanation:
Hello,
[tex]bc^2-b=b(c^2-1)\\ \\\text{So for b = 2 and c = -5} \\\\2\times ((-5)^2-1)=2\times (25-1)=2\times 24 = 48[/tex]
Thanks
Model the following situation with an equation or inequality statement.
The difference of six and a number is greater than nine.
6 - x > 9
hope this helps! :):):):)
Rational number
between 2 and 3?
Answer:
it would be 7 and 8
Step-by-step explanation:
Answer:
rational numbers lie between 2 and 3 are infinite there are infintie numbers of rational number which lie between 2 and 3
Hector has $590 in his account. He earned $15 per hour for x hours. Jeremy has $545 in his account. He earned $20 per hour for x hours. They both worked the same number of hours and now have the same amount of money. What is the number of hours that each person worked? Write and solve an equation.
Answer:
equation = 590 + 15x = 545 + 20x
No. of hours worked = 9
Step-by-step explanation:
Given that both worked for same number of hours
and
Jeremy worked for for x hours
it meant that Hector also worked for x hours(it is also mentioned same in the problem)
now that we know the number of hours worked in form of x
lets find
total money in their account if they worked for x hours
___________________________________________
For Hector
Money in Hector's account = $590
Earning for Hector in 1 hour = $15
Earning for Hector in x hour = x*Earning for Hector in 1 hour = $15x
Total money in with Hector after x hours of work
= Money in Hector's account + Earning for Hector in x hour = $590 + $15x
Similarly
For Jeremy
Money in Jeremys account = $545
Earning for Jeremy in 1 hour = $20
Earning for Jeremy in x hour = x*Earning for Jeremy in 1 hour = $20x
Total money in with Jeremy after x hours of work
= Money in Jeremy's account + Earning for Jeremy in x hour = $545 + $20x
Given that they same amount of money
thus
$590 + $15x = $545 + $20x
$sign gets cancelled from both sides
590 + 15x = 545 + 20x Thus, we got the required equation
=> 590 - 545 = 20x - 15x
=> 45 = 5x
=> x = 45/5 = 9
Thus, both of them worked for 9 hours
Lorenzo caballero was just hired as an engineer for saxon engineering his starting salary is $57600 annually what is his semimonthly salary
Which of the following gives the area, A, of a circle with a diameter of 6
The mean and standard deviation for number of battery crimes in the U.S. from 1985 to 2000 are X = 326,845 and sx = 27,569. The mean and standard deviation for number of property crimes in the U.S. for the same time period are y = 634,235 and Sy = 42,268. The correlation coefficient is r = 0.92. Find the equation for the least- squares regression line for number of property crimes compared with number of battery crimes.
A: y = 1.41 + 173,214.37x
B: y = 173,214.37 + 1.41x
C: y = 421,052.69 + 0.65x
D: y = 0.65 + 421,052.69x
E: Unable to determine the equation
Answer:
The correct answer is: A
Step-by-step explanation:
The value of the slope and intercept is:
=0.92(42268/27569)
=1.410518
a=y-bx
=634235-1.410518×326845
=173214.3716
The eququation for the least-square regression line is:
y=173214.3716 + 1.4105518x
Round to the 2 decimal place:
=173,214.37 +1.41x
The equation for the least squares regression line for number of property crimes compared with number of battery crimes is (b) y = 141x + 173214.37
How to determine the least square regression equation?The given parameters are:
Mean x, μ = 326,845 Standard deviation of x, σ = 27,569Mean y, μ = 634,235 Standard deviation of y, σ = 42,268Correlation coefficient, r = 0.92Calculate the slope (m) using:
m = r * Sy/Sx
This gives
m = 0.92 * 42268/27569
Evaluate
m =1.41051761036
Approximate
m = 1.41
The y-intercept (c) is calculated using:
c = μy -m * μx
So, we have:
c = 634235 - 1.41051761036 * 326845
Evaluate
c = 173214.371642
Approximate
c =173214.37
The least-square regression line equation is represented as:
y = mx + c
So, we have:
y = 141x + 173214.37
Hence, the equation for the least squares regression line for number of property crimes compared with number of battery crimes is (b) y = 141x + 173214.37
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hey i need help with a math question thank you :)
Answer:
y = 60x + 20
y = 65x
0 = 5x - 20
5x = 20
x = 4 ---> 4 hours
Substitute x as 4:
y = 65 x 4
y = 260 ---> 260 miles
So the answer is A
What is the slope and equation of the graph?
Answer:
Looks like the slope is -(1/2) and the equation is y= -(1/2)x + 1
Quick question
Select True or False. (1 point)
The expression 4x − 2(5x − 1) is equivalent to the expression 2 + 6x.
True
or
False
Answer:
False
Step-by-step explanation:
Let us evaluate the problem using the proper order of operation:
4x − 2(5x − 1)
To solve this problem, we use the order of operation called PEMDAS;
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Now, since operations inside the parentheses are of the utmost priority, let us solve this;
4x − 2(5x − 1)
= 4x - 10x +2
= -6x + 2 or 2 - 6x
We see that the solution give is false.
which segments in the picture are parallel ad and ab, be and gh, bc and hf, hf and de
Answer:
HF and DE
Step-by-step explanation:
Answer:
hf and de
Step-by-step explanation:
Find the x-intercept of the graph of the linear equation y = 2x + 4.
Answer:
The x-intercept is -2
Step-by-step explanation:
Two airlines each made 30 flights. The dot plots shown compare
how many minutes the actual arrival times were before or after
the scheduled arrival times of these flights.
Negative numbers represent the minutes the flight arrived before its scheduled time.
Positive numbers represent the minutes the flight arrived after its scheduled time.
Zero indicates the flight arrived at its scheduled time.
Assuming you want to arrive as close to the scheduled time as possible, from which
airline should you buy your ticket? Justify your response by addressing both the
measures of center and spread of the distributions.
Answer: Airline P since the median is lower and the SDR is lower
Step-by-step explanation: