Answer: See explanation
Step-by-step explanation:
Fron the question, we are informed that she bought 10 ounces of spicy popcorn for $2.50.
a. How much does popcorn cost per ounce?
1 ounce of popcorn = $2.50/10 = $0.25
b. How much popcorn can you buy per dollar?
Since 1 ounce of popcorn cost $0.25, $1 can buy popcorn worth:
= $1/$0.25
= 4 ounce of popcorn.
The relationship between the ounce of popcorn and the amount spent is an illustration of a linear function.
The cost per ounce is $0.25The amount of popcorn for $1 is 4 ouncesFrom the question, we have:
[tex]\mathbf{10oz - \$2.50}[/tex]
(a) The cost per ounce
To do this, we simply divide both sides by 10
[tex]\mathbf{Cost = \frac{\$2.50}{10oz}}[/tex]
[tex]\mathbf{Cost = \$0.25/oz}[/tex]
Hence, the cost per ounce is $0.25
(b) Popcorn for $1
To do this, we simply divide both sides by 2.5
[tex]\mathbf{Popcorn- \frac{10oz}{\$2.50}}[/tex]
[tex]\mathbf{Popcorn- 4oz/\$}[/tex]
Hence, the amount of popcorn for $1 is 4 ounces
(c) Represent as equations
In (a), the cost per ounce is $0.25.
So, the equation is:
[tex]\mathbf{y = 0.25x}[/tex]
In (b), the amount of popcorn for $1 is 4 ounces
So, the equation is:
[tex]\mathbf{x = 4y}[/tex]
Where: x represents the size of popcorn, and y represents the cost.
Read more about linear functions at:
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(50 PTS/MORE INFO INSIDE) How many outcomes do NOT show an even number on the first spinner and show a 6 on the second spinner?
Answer:
i think u forgot to add the picture bro?
Step-by-step explanation:
If Kelly's heart beats an average of 1*10^2 times per minute , about how many times does Kelly's heart beat in a year?(1 year is 525,600 minutes)
what factor makes the number sentence
7x4= 4x7
Answer:
Its a very complex solution but it x
=
0
,
3
√
14
2
Step-by-step explanation:
A truck driver has traveled for hours (4, h) south down a highway 50 kilometers per hour (50 km/h) How far as the delivery driver traveled?
Answer:
200 kilometers
Step-by-step explanation:
since the driver goes 50 kilometers at a constant rate for 4 hours, you multiply it by 4, and you get 200.
An easy way to multiply these numbers is to multiply the 4 and 5, which equals 20, then add the extra zero from the 50.
Name an angle adjacent to ZHGJ.
D
H
G
F
ZFGD
ZEGH
O ZEGD
O ZIGF
HELP
Help please! (Please do not answer with links)
Three step linear equations
8x - 10 = 4x - 30
Answer:
x = -5
Step-by-step explanation:
8x - 10 = 4x - 30
Subtract 4x from each side
8x-4x - 10 = 4x-4x - 30
4x -10 = -30
Add 10 to each side
4x-10+10 = -30+10
4x= -20
Divide by 4
4x/4 = -20/4
x = -5
Graph Y equals -5/6x -4
Step-by-step explanation:
y = -5/6x - 4
(0,-4) is the y intercept
the slope is -5/6, it descends 5 and goes 6 horizontally.
If m 4 = 48° and m28 = 3x + 9
Answer:
x = 109
Step-by-step explanation:
m4 =48
m =48/4
m = 12
now
m28 = 3x+9
12*28 = 3x + 9
336-9 = 3x
327/3 = x
109 = x
5×+6×12-3= -3×6×-15
xf es para hoy
I need help again..... and FAST
Answer:
b
Step-by-step explanation:
he microsphere nanoscope is a powerful tool that allows humans to see structures 9 × 10–9 meter in diameter.
How is this number expressed in standard form?
What is the answer?
Please help with this question
Answer:
2:5
Step-by-step explanation:
beacuse ratio is 8/20 which is equal to AP/PB= 2/5
Answer:
2.5
Step-by-step explanation:
AP is 8
PB is 20 thus
AP
PB is equal to8/20 which is 2.5
need help ...............................
10x² - x - 2 = 0
whats thr solutions in fractions
Answer:
X=1/2, -2/5
Step-by-step explanation:
Solve the equation for X by finding a, b, and c of the quadratic then applying the quadratic formula.
Answer:
:) :) :) :) :) :) :0
Step-by-step explanation:
2/5 and 1/2
Which two expressions are
equivalent to 18p-36?
(Pick two choices)
3(9p-12)
9(2p-4p)
2(9p-18)
18(p-2)
Answer:
9(2p-18) and 2(9p-18)
Step-by-step explanation:
The equivalent expression to the expression 18p - 36 are,
9(2p - 4p) and 2(9p - 18).
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression 18p - 36.
We know the distributive property states a(b + c) = ab + ac.
Now, The factors of 18 are, 1, 2, 3, 6, 9, 18.
Therefore,
18p - 36 can be written as,
9(2p - 4p) and 2(9p - 18).
learn more about numerical expressions here :
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Pls help me fast! Thank you!
Answer:
-2.5
Step-by-step explanation:
Slope is y over x, so in this case -15/6. Do -15/6 to get -2.6
Answer:
Step-by-step explanation:
"The model can be used to solve 6×3.27. Select the partial products from the drop-down lists" i have no clue what to do, can someone explain to me?
Answer:
The partial products are:
18 + 1.2 + 0.42
The sum: 19.62
Step-by-step explanation:
This has to do with understanding what place value is.
3 ones = 3 * 1 = 3
6 * 3 ones = 18
2 tenths = [tex] 2 * \frac{1}{10} = 2*0.1 = 0.2 [/tex]
6 * 2 tenths = 1.2
7 hundredths = [tex] 7 * \frac{1}{100} = 7*0.01 = 0.07 [/tex]
6 * 7 hundredths = 0.42
The partial products are:
18 + 1.2 + 0.42
The sum = 19.62
Answer:
Answer:
The partial products are:
18 + 1.2 + 0.42
The sum: 19.62
Step-by-step explanation:
This has to do with understanding what place value is.
3 ones = 3 * 1 = 3
6 * 3 ones = 18
Step-by-step explanation:
-k/5 = 7/5 can someone help with this?
Answer:
k = -7
Step-by-step explanation:
Step 1: Write equation
-k/5 = 7/5
Step 2: Solve for k
Cross multiply: -5k = 35Divide both sides by -5: k = -7Step 3: Check
Plug in k to verify it's a solution.
-(-7)/5 = 7/5
7/5 = 7/5
What is the difference of 12-5i and -3 + 4i
what is the slope of a line that is perpendicular to the line y= -1\2x+ 5
Answer:
-1/2
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
– 3х + 10 = 2
— 3х + Зу = 9
Answer: A! x=-1 2/5, y= 1 3/5
Step-by-step explanation:
First put -3x+3y=9 into slope-intercept form(y=mx+b)
3y=-3x+9
then solve for y
y=-1x+3
enter your y-intercept into the equation below..
2x-7(-1x+3)=-14
2x+7x-21=-14
2x+7x=-14+21(when changing sides it changes signs that's why 21 is now a positive)
2x-7x=7
-5x=7 divide -5 into 7
7/5
x=-1 and 2/5
then input x back into the first equation
-3(7/-5)+3y=9
21/5+3y=9
3y=9-21/5
3y=24/5
divide 3 into 24/5
=24/15=1 and 9/15 reduce it anddd
y=1 and 3/5
89 times what is 6285
Answer:
71
Step-by-step explanation:
6285 ÷ 89 = 71
Zachary purchased a computer for 1100 on a payment plan. 4 months after he purchased the computer, his balance was $755. Five months after he purchased the computer, his balance was $640. What is an equation that models the balance b after m months. What does the slope signify is zacharys equation?
Answer:
Model is
b = 115m + 65
The slope represents the amount of balance offset per month
Step-by-step explanation:
Here, we want to model an equation.
The equation to model will be in the form;
y = mx + c
we have the following points to consider
The points are in the form;
(number of months, balance)
(m , b)
So the points we have are;
(4,755) and (5,640)
So the slope will be ;
(y2 -y1)/(x2-x1) = (755-640)/(5-4) = 115
So the equation will be;
b = am + c
where a is the slope and c is the y intercept
we already have the slope
so equation becomes;
b = 115m + c
let’s get the y-intercept
we can get the y-intercept by any of the points;
That would be; let’s use (5,640)
640 = 5(115) + c
640 = 575 + c
c = 640 -575
c = 65
So the equation of the model is;
b = 115m + 65
The slope represents the balance per month
please help me!!
will mark brainliest!!
Use the drawing tool(s) to form the correct answer on the provided graph.
The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation off as shown below.
g(x) =3/4 f(x)
Graph function g on the same coordinate plane.
The graph of the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x is attached below.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To graph the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x, we need to perform the transformation of stretching the graph of f(x) by a factor of 3/4.
Determine the scale factor for the transformation. In this case, the scale factor is 3/4.
Starting at the x-intercepts and y-intercepts (if there are any), plot the points on the coordinate plane using the scale factor to stretch or shrink the graph as needed.
For example, the point (0,0) on the graph of f(x) becomes the point (0,0) on the graph of g(x). The point (1,1) on the graph of f(x) becomes the point (1, 3/4) on the graph of g(x).
Connect the plotted points with a smooth curve to obtain the graph of g(x).
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Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer: 13x-1
Step-by-step explanation:
which is the best estimate for (8.9 x 10^8)(3.3 x 10^4 written in scientific notation?
Answer:
3 x10^4
Step-by-step explanation:
need help asap at this question so what's the area of the shaded shape
Answer:
Step-by-step explanation:
area of shaded region=area of whole region-area of white space
=9×13-5×[13-(3+2)]
=117-5×8
=117-40
=77 m²
Here are three different rules:
number of tiles = position x 1 + 1
number of tiles = position x 3 + 1
number of tiles = position x 5 + 1
How are these pattern rules the same?
How are these pattern rules different?
Answer:
they all add one
and...
the position is multiplied by different numbers
HELP NEEDED!!!!!!
Marley used 7 cups of water to make 4 loaves of French bread.
What equation can be used to model the total cups of water needed y for making x loaves of French bread? Write the equation in the form y =kx .
Answer:
Step-by-step explanation:
y=kx
7/4=1.75
6/4=1.5
The equation in the form y =kx will be as y = 7/4 x .
What are Proportional?Proportional the type of relationships between two variables where their ratios are equivalent.
In a proportional relationship, one variable is always a constant value by the other. That constant is known as the constant of proportionality.
A proportional relationship between the variables x and y is written as:;
y=k.x
For the given problem, y represents the cups of water needed for making x loaves of French bread.
We know that Marley used y=7 cups of water to make x=4 loaves of French bread. Substituting into the equation;
7=k.4
Solving for k:
k = 7/4
The equation to model the problem;
y = 7/4 x
More can be learned about proportions at;
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