Answer:
Yes, y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship and the constant of proportionality is [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality
If x and y are proportion, then y = k x, where k is the constant of proportionalityThe proportional relationship represented graphically by a line passing through the origin point (0, 0)Let us solve the question
∵ y = [tex]\frac{1}{5}[/tex] x
→ It the same as the form of the proportional equation above
∵ [tex]\frac{1}{5}[/tex] is a constant
∴ y is the product of x and constant
∴ y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship
Substitute x by 0 to find y and show it represented by a line passing through the origin
∵ x = 0
∴ y = [tex]\frac{1}{5}[/tex] (0) = 0
→ That means point (0, 0) lies on the line which represents the equation
∴ The line which represents this relation is passing through the origin
∴ y = [tex]\frac{1}{5}[/tex] x represents a proportional relationship
∵ y = kx, k is the constant of proportionality
∵ y = [tex]\frac{1}{5}[/tex] x
∴ k = [tex]\frac{1}{5}[/tex]
∴ The constant of proportionality is [tex]\frac{1}{5}[/tex]
Sally wants to start a small business. She plans to sell snack packs by re-packing cookies and coffee sachets. Cookies come in packs of 10, while 3-in-1 coffee sachets come in packs of 12.
What is the smallest number of packs for each item should Sally buy if she wants to have packs with 1 cookie and 1 coffee sachet?
Answer: She needs 6 packs of cookies and 5 packs of coffee sachets.
Step-by-step explanation:
Cookies: come in packs of 10
Coffee sachets: come in packs of 12.
Sally wants to sell them in groups of 1 cookie and 1 coffee sachet, then we need to find a common multiple of 10 and 12. (the smallest one in this case).
To find the smallest common multiple, first let's find the largest common factor between 10 and 12.
If we write the numbers as a product of prime numbers, we have:
10 = 2*5
12 = 2*3*3
The only common factor is 2.
Then the smallest common multiple between 10 and 12 is equal to the product of 10 and 12 divided by the largest common factor between them, in this case is 2.
M = 10*12/6 = 60
Now to find the number of packages of each thing that she must buy, we need to divide 60 by the number of elements in each pack.
Cookies: 10 per pack
60/10 = 6
She needs 6 packs of cookies
Coffe: 12 per pack
60/12= 5
She needs 5 packs of coffee sachets.
What is the correct answer? please
RECO
Which expression is equivalent to 3x – 1/2y+2 2/3y-5/6x
Answer:
13 ( x + y ) / 6
evaluate the expression 81-8^2
Answer:
17
Step-by-step explanation:
Do the exponent first, then subratct it to 81
Answer:
thats easy 17
Step-by-step explanation:
Can you help me i will give you a branlist please
What is the converse of the conditional statement?
If x is even, then x + 1 is odd.
A. If x is not even, then x + 1 is not odd.
B. lf x + 1 is odd, then x is even.
C. If x + 1 is not odd, then x is not even.
D. If x is even, then x + 1 is not odd.
Answer:
If x+1 is odd, then x is even B
Step-by-step explanation:
Conditional: If p, then q
Converse: If q, then p
p= x being even
q, x+1 being odd.
4 A photographer enlarges a picture to
hang on the wall. The original picture is
5 inches long and 4 wide. The new
picture is 22 inches long and 17.6 inches
wide. What scale factor did the
photographer use?
I
Answer:
He enlarged the photo by 4.4 times than the original size.
Step-by-step explanation:
22/5=4.4
4.4*4=17.6
4.4*5=22
Help math hv 30 minutes
Answer:
8 milk cartons and 4 dollars
Answer:
It's 8 milk cartons and 4 dollars/Price
What is the Slope of the line
Answer:
[tex]m=\frac{-3}{4}[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{-4-(-1)}{5-1}[/tex]
[tex]m=\frac{-4+1}{4}[/tex]
[tex]m=\frac{-3}{4}[/tex]
What is the probability of getting orange
or blue and a multiple of 3?
Answer:
the answer is 1/2 because of the multiple of 3
Mike is 46 years old. He is 4 years older than three times his son, Jared's age. Find Jared's age.
Determine the degree of the polynomial.
8a9 – 2a + 1
Answer:
Determine the degree of the polynomial.
8a9 – 2a + 1
Step-by-step explanation:
8a9 – 2a + 1
Sienna earns $108 for working 9 hours. Ted earns $77 for working 7 hours. Colby earns $92
for working 8 hours. Jennifer earns $115 for working 10 hours. Who has the highest hourly
wage?
Answer:
Sienna
Step-by-step explanation:
Four friends paid
for entrance to a
boil for $8 each.
They shared 2
bloody mary's that
were $6 each.
The expression:
(4 x 8 + 2 x 6) = 4
gives each
friend's share of
the cost.
Answer:
what question?
Step-by-step explanation:
there s nota a questoin
write an equation to solve for x what is the value of x will mark brainious this is very confusing for me
Answer:
equation: 3x - 2 + 4x - 9 + 3x - 9 = 180x = 20Step-by-step explanation:
add all internal angles
∠H + ∠I + ∠J = 180
where:
∠H = 3x - 2
∠I = 4x - 9
∠J = 3x - 9
plugin the values into the ∠H + ∠I + ∠J = 180 formula:
equation: 3x - 2 + 4x - 9 + 3x - 9 = 180
combine similar terms: 3x + 3x + 4x = 180 + 2 + 9 + 9
simplify: 10x = 200
divide 10 both sides: x = 20
Can someone help ? ASAP thanks
Answer:
2,5 then 17 20 then keep adding 15 for x and y
James enjoys spending money at the hardware store. He bought a wrench for $9.14, a nail gun for $54.48, and a pound of nails for $6.98. How much change did James get if he paid with a hundred-dollar bill? *
Answer:
$29.40
Step-by-step explanation:
29.40 dollars as 100 - the sum of the cost = 29.4
Multiply. Write the answer in simplest form.
5/6 x 2/9
Answer:
5/27
Step-by-step explanation:
I have no doors but I have keys, I have no rooms but I do have a space, you can enter but you can never leave. What am I?
Is it a computer keyboard?
Finding the Equation of a Line
You have discovered another alien.
Move the sliders to change the slope and y-intercept.
Create an equation to produce the correct line of travel.
slope: 0
6
What is the equation of the line that provides the
correct path to rescue this alien?
A. Y=5
B. Y=x+5
C. Y=-x+5
D. Y=5x
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is Y=-x+5. Thus, the correct option is C.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The position of Allien in the coordinate plane is (0,5), the coordinate of the rocket is (5,0). The slope between the two is,
Slope, m = (0 - 5)/(5 - 0) = -5/5 = -1
The equation of the line can be written as,
y = -1x + C
substitute any one of the point in the equation,
0 = -1(5) + C
0 = -5 + C
C = 5
Hence, the equation of the line is Y=-x+5. Thus, the correct option is C.
Learn more about Equation of Line:
https://brainly.com/question/21511618
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The formula for converting miles into feet is F=5280m. If m=3, evaluate to find F, the number of feet in 3 miles
Answer:
15,840?
Step-by-step explanation:
if f=5280m and m=3 then 5280x3= 15,840
Good luck!
Ceftriaxone 125 mg IM. If I use 1 g/9.6 mL to fill the order, how many mL will I need
Answer: omg I- I tried but got nothing I’m sorry
Step-by-step explanation:
Lori buys a $1500 certificate of deposit (CD) that earns 6% interest that compounds monthly. How much will the CD be worth in:
Answer:
Money = (1500)e^(0.06t)
t = num of months
Money = Money at end of that tiem period
If the snow is falling at a rate of 1 2/3 inches per hour, how many hours will it take to snow 12 inches?
Answer:
It'll take 7.2 hours
Step-by-step explanation:
(5/3)in 12in
--------- x --------
1 hr x hr
Cross multiply and you get
(5/3)x = 12
Then you divide 12 by (5/3) and you get that x = 7.2 hrs
Answer:
7.2 hours
Step-by-step explanation:
1 2/3 inches per hour = 5/3 inches per hour
12 inches = 36/3 inches
(36/3) / (5/3)
(36/3) x (3/5)
108/15
7.2 hours
IA:B 7:8 an B:C 12:7 find A C in its simplest form.
b. 3:2
C. 19:6
a. 2:3
d. 4:5
Answer:
3:2
Step-by-step explanation:
A:B 7:8 an B:C 12:7 find A C in its simplest form.
ans;
3:2
Create and solve a quadratic equation that has 1 real solution
Answer:
x^2 - 4x + 4 = 0
x = 2
Step-by-step explanation:
(x - 2)(x - 2) = 0
x^2 - 2x - 2x + 4 = 0
x^2 - 4x + 4 = 0
The equation is:
x^2 - 4x + 4 = 0
It is a quadratic equation because of the x^2 term.
Now we solve it by factoring.
x^2 - 4x + 4 = 0
(x - 2)(x - 2) = 0
x - 2 = 0 or x - 2 = 0
x = 2 or x = 2
The only solution is x = 2.
Recall that the perimeter of a figure such as the one to the right is the sum of the length of its sides. Find the perimeter of the figure.
Answer:
36z+28+8z+40+12z+60+48+16z=
36z+8z+12z+16z+28+40+60+48=
72z+176
Step-by-step explanation:
Solve the system of equations 2x-4y=-2 and -x+8y=-23 by combining the equations.
Answer:
(−9,−4)
Step-by-step explanation:
Ellie drove 13 miles in 2/5 hours. if she drove at a constant rate, how fair did she travel in one hour? enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Answer:i think its 3.25 miles
Step-by-step explanation:
Answer:
5.2
Step-by-step explanation:
13÷2.5=5.2
Let xy=6 and x2 + y2 = 23 what is the value of (x+y)^2?
[Hint expand out (x+y)^2?]
Answer:
[tex](x + y) {}^{2} \\ = x {}^{2} + 2xy + y {}^{2} \\ = x {}^{2} + y {}^{2} + 2xy \\ = 23 + 2 \times 6 \\ = 23 + 12 \\ = 35 \\ \\ therefore \: the \: value \: \\ of \: (x + y) {}^{2} is \: 35.[/tex]
35 is the correct answer.....Hopes to get BRAINLIEST......Thank you ☺️