Maggie is trying to find the best deal to buy bags of potato chips. Option A: $0.90 for 9 bags of chips Option B: $0.84 for 7 bags of chips Option C: $1.50 for 5 bags of chips Which option is the better deal?
A
Option A
B
Option B
C
Option C
Answer:
The answer is option A. Since you would be paying 0.10 for each bag.
The solution is Option A.
The best deal for Maggie to buy the bag of potato chips would be 9 bags for $ 0.90 because each bag cost $ 0.10
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of each bag be represented as A
Now , the equation will be
a)
$0.90 for 9 bags of chips
The cost of 9 bags = $ 0.90
The cost of 1 bag A = The cost of 9 bags / 9
Substituting the values in the equation , we get
The cost of 1 bag A = 0.90 / 9
On simplifying the equation , we get
The cost of 1 bag A = $ 0.10
b)
$0.84 for 7 bags of chips
The cost of 7 bags = $ 0.84
The cost of 1 bag A = The cost of 7 bags / 7
Substituting the values in the equation , we get
The cost of 1 bag A = 0.84 / 7
On simplifying the equation , we get
The cost of 1 bag A = $ 0.12
c)
$1.50 for 5 bags of chips
The cost of 5 bags = $ 1.50
The cost of 1 bag A = The cost of 5 bags / 5
Substituting the values in the equation , we get
The cost of 1 bag A = 1.50 / 5
On simplifying the equation , we get
The cost of 1 bag A = $ 0.30
Therefore , the 0.10 < 0.12 < 0.30
Hence , the cost of $0.90 for 9 bags of chips is the best deal
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Write the equation of an exponential function that satisfies these characteristics:
1. y intercept of (0,5)
2. range is all y values greater than 0
The value of the exponential equation is y = 5ˣ + 4
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
The y intercept is ( 0 , 5 )
So , when x = 0 , the value of y = 5
Substituting the values in the equation , we get
y = 5ˣ + 4 be equation (1)
when x = 0
y = 5⁰ + 4
y = 1 + 4
y = 5
when x = 2
y = 5² + 4
y = 25 + 4 = 29
Therefore , the range is all y values greater than 0
Hence , the equation is y = 5ˣ + 4
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Determine the slope of the line that passes through the given points. Complete your work in the space provided.
(8.1) and (8,-4)
Answer:
0
Step-by-step explanation:
Slope formula y2-y1/x2-x1
-4-1/8-8
simplify
-5/0
slope is 0
You have $40 in a savings account and you deposit an equal amount into your account each week. After 8 weeks the account holds $128. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.
Answer:
40+x=y
Step-by-step explanation:
giving brainliest Here are the coordinates of rectangle PLAY: (-11,20), (-11,-3), (-1,20), (-1,-3). Find the perimeter of this rectangle. See if you can figure out its side lengths without plotting the points.
Answer:
perimeter equals 66
sides: 23,23,10 10
Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by
- 7x + 2y = 14?
9514 1404 393
Answer:
D y +5 = -2/7(x -4)
Step-by-step explanation:
The point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
You're given (h, k) = (4, -5), so the equation will be of the form ...
y +5 = m(x -4) . . . . for some slope m
This form eliminates the first two choices.
__
The slope of the given line is the coefficient of x when solved for y:
2y = 7x +14
y = 7/2x +7 . . . . slope is 7/2
The perpendicular line will have a slope that is the opposite reciprocal of this, ...
-2/7 . . . . slope of perpendicular line
This is the slope shown in choice D:
y +5 = -2/7(x -4)
D
Step-by-step explanation:
Reuben hires a car. It costs £150, plus 85p for each mile he travels. When Reuben hires the car, its mileage is 27612 miles. When Reuben returns the car, its mileage is 28361 miles. How much did Reuben pay to hire the car?
Answer:
Cost of hiring a car = £63,815
Step-by-step explanation:
Cost of hiring a car = 150 + 85p
When Reuben hires the car, its mileage is 27612 miles. When Reuben returns the car, its mileage is 28361 miles.
Number of miles Reuben travelled = 28,361 miles - 27,612 miles
= 749 miles
Cost of hiring a car = 150 + 85p
= 150 + 85(749)
= 150 + 63,665
= 63,815
Cost of hiring a car = £63,815
What would you multiply by to decrease a number by 22.5%
Answer:
Multiply the number by 77.5% (100%-22.5%)
Step-by-step explanation:
Answer:
Multiply the number by 77.5% (100%-22.5%)
Step-by-step explanation:
Please answer these 3 they are pretty simple tysm will mark brainliest
7: -69
8: -2+3-4 = -3
9: $ (5y+10)
Taylor's cat runs 15 miles in 30 minutes. At this rate how far will her can run in 3 1/2 hours?
Answer:
105 miles
Step-by-step explanation:
15 miles in half an hour so 30 miles each hour
30 miles*3 hours=90 miles
90 miles+15miles= 105 miles in 3 1/2 hours
Find the missing side length.
12
15
X
52,427 rounded to the nearest thousand
Answer:
52,000 to the nearest thousand
Answer:
52,000
Step-by-step explanation:
Karen surveys a group of people to find out how many hours, in total, they had worked in the previous week. Her results are summarised in the histogram.
12 decreased by some number h
Answer:
12 - h
Step-by-step explanation:
cubic feet= 1 cubic yard
Answer:
(1 yard) 3 = 1 3 yard*yard*yard = 1 yard*yard*yard = 1 cubic yard. Since 1 yard = 3 feet, we have.
1 cubic yard = (1 yard) 3 = (3 feet) 3 = 33 feet*feet*feet = 27 cubic feet.
Step-by-step explanation:
A six-sided number cube is rolled 300 times. Predict how many times you would expect to roll a 4.
A.
40
B.
50
C.
60
D.
100
Answer:
50 of 300 times
Step-by-step explanation:
Solve for the variable
-7 + m = -15
-3(1+6r)=14-r
in class need help
Answer:
r = -1
Step-by-step explanation:
-3(1+6r)=14-r
Distribute the -3
-3*1 -3*6r = 14-r
-3 -18r = 14 -r
Add 18r to each side
-3-18r+18r = 14-r+18r
-3 = 14+17r
Subtract 14 from each side
-3-14 = 14+17t-14
-17 = 17r
Divide by 17
-17/17 = -17r/-17
-1 =r
express x^2 - 8x + 5 in the form (x - a)^2 - b where a and b are integers
Answer:
x^2 -8x + 5 = (x-4)^2 - 11
Step-by-step explanation:
Here we want to write the given expression in the form
x^2-8x + 5 can be written as follows;
(x-4)^2 = x^2 - 8x + 16
All we have to do is to subtract 11
Thus, we have it that;
x^2-8x + 5 = (x-4)^2 - 11
. What is the value of x
please help
Answer:
9
Step-by-step explanation:
12x + 17x - 14 + 90 + 2x + 5 = 360
31x + 81 = 360
31x = 279
x = 9
please help i’ll give you brainliest and a thanks
Answer:
[tex]3g + 40[/tex] and g= 60
Step-by-step explanation:
hope this helps have a good rest of your night :) ❤
Tessa bought stock in a restaurant for $277.00. Her stock is now worth $346.25. What is the percentage increase of the value of Tessa's stock?
Answer:
125%
Step-by-step explanation:
Divide 346.25 by 277
you get 1.25
multiply it by 100
Answer:
25%
Step-by-step explanation:
This is calculated this way:
$346.25/$277 = 1.25
Then subtract 1, because that part represents what Tessa had to start with. That leaves
0.25
That decimal equals 25%, and that is the answer.
Hello someone please help ASAP!!
Answer:
B
Step-by-step explanation:
A rational function range or possible answer cant be zero since on a rational function we dont want what we call vertical and horizontal asymptote are when y=0 or when x=0 so it can be any real number except 0.
What is the best prediction of the time required for
the oil spill to reach a diameter of 10 km?
A 147 days
B200 days
205 days
D233 days
Answer:
Step-by-step explanation:
It's 205
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 147 days. Then the correct option is A.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = y. Then the degree of the equation will be 2.
The table shows the connection between the width in kilometers of an oil slick and the time in days. A capability can be utilized to show this relationship.
The equation at (2.4, 1) will be given as,
2.4 = a (1)² + b (1) + c
2.4 = a + b + c ...1
The equation at (9.4, 2) will be given as,
9.4= a (2)² + b (2) + c
9.4 = 4a + 2b + c ...2
The equation at (21.1, 3) will be given as,
21.1 = a (3)² + b (3) + c
21.1 = 9a + 3b + c ...
Solve equations 1, 2, and 3 with the calculator, then we have
a = 2.35, b = -0.05, c = 0.1
Then the equation is given as,
y = 2.35x² - 0.05x + 0.1
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be
y = 2.35(10)² - 0.05(10) + 0.1
y = 235 - 0.5 + 0.1
y = 235.5
The value of y is nearer to the value of 233. Then the value of y will be 233 days.
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 233 days. Then the correct option is D.
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The complete question is given below.
The table shows the relationship between the diameter of kilometers of an oil spill and the time in days. A function can be used to model this relationship.
What is the best prediction of the time required for the oil spill to reach a diameter of 10 km?
A) 147 days
B) 200 days
C) 205 days
D) 233 days
Maia has a total debt of $25. She is trying to pay back $2 each week for the next 8 weeks. If Maia is successful, which amount will represent the change in the amount of her debt?
+$16
-$16
+$10
-$10
can someone please help? i've been asking questions and nobody's been helping :(
Answer:
-16
Step-by-step explanation:
2(8)=16, 25+(-16)=current debt after 8 weeks
Solve the system by substitution.
y = -6x
y = -4x + 4
Answer:
x=-2 y =12
Step-by-step explanation:
Eliminate the equal sides of each equation and combine.
−6x=−4x+4
Solve
−6x=−4x+4
x=−2
y= 12
The solution to the system is the complete set of ordered pairs that are valid solutions.
(−2,12)
The result can be shown in multiple forms.
Point Form:
(−2,12)
Equation Form:
x=−2,y=12
X=?
Enter the number that goes in the green box.
Please helpppp:(
Answer:
x=35°
Step-by-step explanation:
145°+110°+70°=325°
360°-325°=35°
Yesterday, between noon and midnight, the temperature dropped by 25.8°F. If the
temperature was -13.4°F at midnight, what was it at noon?
15.1 f
Step-by-step explanation:
-13.4+25.8= 15.1 F
Find two numbers such that their sum is 10 and their
product is 22.
Jared consuela and Reggie have an ant farm Jared collected 25/100 of the ants from the ant farm consuela collected 6/10 of the ants what fraction of the ants did Jared and consuela collected together
Answer:
17/20
Step-by-step explanation:
[tex]\frac{25}{100} + \frac{6}{10}[/tex]
to solve this multiply both fractions by 100
(25 + 60) / 100 = 85/100
we need to find the lowest common multiple
Both the numerator and denominator can be divided by 5 = 17/20
