Given:
There exist a proportional relationship between x and y.
To find:
The equation which represents a proportional relationship between x and y.
Solution:
If there exist a proportional relationship between x and y, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex]
where, k is constant of proportionality.
We know that, proportional relationship passes through the origin because (0,0) satisfy [tex]y=kx[/tex].
For x=0, check which equation has y=0.
In option A, [tex]y=-3(0)-2=-2[/tex].
In option B, [tex]y=9[/tex].
In option C, [tex]y=4(0)=0[/tex].
In option D, [tex]y=3(0)+1=1[/tex]
Only in option C, we have a equation of the form [tex]y=kx[/tex] with 4 as constant of proportionality and it passes through (0,0).
Therefore, the correct option is C.
Answer:
answer is c
Step-by-step explanation:
its 7=4x
After making a deposit,puja had $264 in her savings account.She noticed that if she noticed that if she added $26 to the amount originally in the account and doubled the sum,she would get the new amount.How much did she originally have in the account.
Answer:
Let the original deposit be
x
Add $26 to original deposit
→
x
+
26
And doubled the sum
→
2
(
x
+
26
)
You get the new amount
→
2
(
x
+
26
)
=
264
Multiplying out the bracket
2
x
+
52
=
264
Subtract 52 from both sides
2
x
=
264
−
52
2
x
=
212
Divide throughout by 2
x
=
106
So the original amount was $106.00
1/3 of 12 = 2/3 of ?
Answer:
I think it's 6
Dhdneoemd
Answer:
6
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] of 12 = [tex]\frac{12}{3}[/tex] = 4
let the number required be n , then
[tex]\frac{2}{3}[/tex] n = 4 ( multiply both sides by 3 to clear the fraction
2n = 12 ( divide both sides by 2 )
n = 6
Thus
[tex]\frac{1}{3}[/tex] of 12 = [tex]\frac{2}{3}[/tex] of 6
Mark is planning to apply to a college in Indianapolis. The breakdown of the cost per year of college is given below.
• Housing Fee: $5,600 (annual cost)
• Tuition Fee: $2,600 per semester
• Technology Fee: $150 per semester
• Books: $310 per semester
• Plane Ticket Cost: $289 (annual cost)
Mark's total cost for s semesters of school in 4 years is represented by the expression below.
$23,556 + $3,060
Which statement best describes the constant in the expression?
It is the total cost for one semester for tuition and plane tickets.
It is the total cost for tuition, technology, and books for four years.
It is the total cost for tuition, technology, and books per semester.
It is the total cost of housing and plane tickets for four years.
Answer:
It is the total cost of housing and plane tickets for four years.
Step-by-step explanation:
Mark's costs for tuition, technology fee, and books are all per semester, s. ($2,600 + $150 + $310)s = $,060s
The cost for housing and plane tickets are a once a year cost. Mark pays these amounts once a year for four years.4($5,600 + $289) = $23,556
Therefore, the constant in the expression is $23,556, and it is the total cost for housing and plane tickets for four years.
Solve for x
x = _____
Answer:
x=5
Step-by-step explanation:
They are vertical angles, so they are equal.
22x+5=23x
minus 22x from each side
5=x
and you can switch it around :)
x=5
Write 0.00000000000801 in scientific notation.
[tex]801 \times {10}^{ - 14} = 8.01 \times {10}^{ - 12} [/tex]
Done...
Good luck ♥️♥️♥️♥️♥️.
Simplify the expression
12x^-6y^10X3x^7y
Answer:
12xy₁₁x₃
Step-by-step explanation:
The Hudson family went out to dinner. The meal cost $49.50.
If they also left a 15% tip, approximately how much did the entire dinner cost?
O $7.43
$49.50
O $56.93
O $61.24
Answer:
The tip is $7.43
The total answer $56.93
Step-by-step explanation:
Hope this helps!
Answer:
c 56.93
Step-by-step explanation:
49.5 × 1.15= 56.93
What is the value of the expression -17 x 1.3? Be sure to use the correct place value.
DA DA DA DA DA DA DA DA DA DA
Join the cult ;)
Answer:
-22.1
Step-by-step explanation:
-17 x 1.3 = -22.1
Hope I helped!
Courtni is multiplying 3.2 x 30. Explain how Courtni can use expanded form
and properties of multiplication to solve this problem mentally. What is the
product of 3.2 x 30?
If we multiply 3.2 x 30, the answer is 96.
30 = -5(6n + 6) how do I show my WORK????
Answer:
- 2
Step-by-step explanation:
Step 1:
30 = - 5 ( 6n + 6 ) Equation
Step 2:
30 = - 30n - 30 Multiply
Step 3:
60 = - 30n Add 30 on both sides
Step 4:
n = 60 ÷ - 30 Divide
Answer:
n = - 2
Hope This Helps :)
Help i really need some help for this!!!! Complete the equation so that it has infinitely many solutions.
13(3−z)
Answer:
13(3 - z) = 13(3 - z)
13(3 - z) = 39 - 13z
Step-by-step explanation:
To make the equation have infinitely many solutions, when you simplify, the equation will become z = z
To make this happen, the equation has to be the same on either side of the equal sign. Here are the two options :
13(3 - z) = 13(3 - z)
13(3 - z) = 39 - 13z
for every 5 hours that he works, andre is paid $60.20. use this information to complete the table.
Answer:
i hope u understand this
Step-by-step explanation:
i have not even tried it before
but i am sure is excellent
The graph models the height h, in meters, of a hot air balloon, t minutes after beginning to descend. How high was the balloon when it began its descent?
The balloon was
nothing m high when it began its descent.
Height of a Hot Air Balloon
0
1
2
3
4
5
6
7
8
9
10
0
10
20
30
40
50
60
70
80
90
100
Time t (min)
Height h (m)
Answer:
Bh
Step-by-step explanation:
Gg
Simplify.
4727 + 6V75
Answer:
1+1
Step-by-step explanation:
1. How do the areas of the two shapes compare?
Answer:
we cant really answer cause we cant see the 2 squares
Step-by-step explanation:
Help pleaseeee!!!?thanks
Answer:it’s c
Step-by-step explanation:
Because it’s 146%
Jackie drinks a bottle of water and a bottle of orange juice every morning the bottle of water has 16.9 the bottle of orange juice has 15.2 which is the best estimate for the total amount jackie drinks in the morning for an entire week and gives a good explanation for that estimate
Answer:
224.7clStep-by-step explanation:
Ok, noticed that the bottles are not properly given a unit according to the question.
let us assume the units are in centiliters that is cl
Every morning the bottle of water has 16.9cl
the bottle of orange juice has 15.2cl
therefore if Jakie does this drinking continuously for 7 days she will be drinking
bottle of water has 16.9cl*7= 118.3cl
bottle of orange juice has 15.2cl*7=106.4cl
total=118.3+106.4
total is 224.7cl
there are 325 7th graders in 12 classes determine the unit rate
Answer:
The answer is 27.08
Step-by-step explanation:
I divided 325 by 12 and after divided it my answer was 27.08. Hope this helped
4x-3=2x+7
HELP PLEASEEE
Answer:
x = 5
Step-by-step explanation:
Given
4x - 3 = 2x + 7 ( subtract 2x from both sides )
2x - 3 = 7 ( add 3 to both sides )
2x = 10 ( divide both sides by 2 )
x = 5
Answer:
x=5
Step-by-step explanation:
you will start by subtracting 2x from 4x then you are left with 2x-3=7. then you will add 3 to 7 that will give you 2x=10, then divide 2 from 10. from there you get x=5.
Choose the correct graph of the given system of equations. (1 point)
y + 2x = −1
3y − x = 4
Answer:
y=2x-1
y=x+4/3
Step-by-step explanation:
Write an equation for a line that is parallel to 9x + 3y = 8 and passes through the point (-1, -4).
Answer:
y = -3x - 7
Step-by-step explanation:
turn into slope-intercept form:
9x + 3y = 8: subtract 9x to isolate y
3y = -9x + 8: divide by three to isolate again
y = -3x + 8/3 (line): Substitute y and x and replace 8/3 with b
-4 = -3(-1) + b: distribute
-4 = 3 +b: isolate b by subtracting 3
-7 = b
Substitute for b in original equation
y = -3x - 7
Answer:
y=-3x-7
Step-by-step explanation:
First you need to change the equation to slope intercept form. so the equation becomes y=-3x+8/3. now you change it point slope, y-y1=m(x-x1), y--4=-3(x--1), which also becomes y+4=-3(x+1), now you multiply. -3 times x and 1 which makes the equation, y+4= -3x+-3, then subtract from each side since its a positive number. so now the equation y= -3x-7
please answer this I leave good reviews
Answer:
C
Step-by-step explanation:
Showed the values of Babylonian society
PLS HELP ME. WILL GIVE BRAINLYNESS TO FIRST AND CORRECT ANSWER.
Answer: A = 379.94
Step-by-step explanation:
first round 11.3 to 11
11^2=121
121x3.14=379.94
A = 379.94
Answer:I got 380.13 hopes this helps
Step-by-step explanation:
Translate "Fifteen more than a number."
A, 15 + x
B, X + 15
C. X-15
D. 15x
Find each sum or difference
-1/2 + 1/3
Answer:
The answer is -1/6
Step-by-step explanation:
Answer:
Sum: -1/6
Difference: -5/6
Step-by-step explanation:
What is the slope of the line graphed above?
Answer:
C. -1/2
Step-by-step explanation:
(-2,2)
(0,1)
(2,0)
Change in y = -1
Change in x = 2
Equation: y = -1/2x + 1
The slope of the line is [tex]-\frac{1}{2}[/tex].
Option C is correct.
Slope of line:The slope of the line is the ratio of the rise to the run, or rise divided by the run.
From given figure it is observe that line passes through point [tex](2,0)[/tex] and [tex](0, 1).[/tex]
Slope of line , [tex]m=\frac{0-1}{2-0}=-\frac{1}{2}[/tex]
The slope of the line is [tex]-\frac{1}{2}[/tex].
Learn more about the slope of line here:
https://brainly.com/question/3493733
A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the translation?
A. T1-9x, Y)
B. T-1-9x. y)
C. T-o, 10, y)
D. T-9,-1X, Y)
Answer:
the answers should be T1, -9(x, y)
A. T1-9(x, Y)
Good luck!
The hexagon is made from a rectangle and two identical triangles.
13 cm
5 cm
12 cm
Work out the area of the hexagon.
How do u find the mean of a proportion
Answer:
so mean
Step-by-step explanation:
you put you numbers in a line from greatest to least and the one in the middle is your mean or average
Which rational number is also an integer?
A) -82/6
B) -65/13
C) 43/5
D) 70/25
Answer:
B
Step-by-step explanation:
Because all of the other ones are decimals and integers are WHOLE number positive or negative, and B is equal to -5
Hope This Helps