You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $2.99 a pound, which is cheaper than your usual neighborhood store, which sells it for $3.29 a pound. Is it worth the extra drive?
First, determine what information you need to answer this question, then click here to display that info (along with other info).
How much chicken will you be buying? 5 pounds
How much far are the two stores? My neighborhood store is 2.3 miles away, and takes about 7 minutes. The store across town is 8.8 miles away, and takes about 21 minutes.
How kind of mileage does your car get? It averages about 19 miles per gallon in the city.
How many gallons does your car hold? About 14 gallons
How much is gas? About $3.66/gallon right now.
Based on the total costs of buying at the two stores, it is not worth the extra drive going to the store across town.
How are the total costs determined?The total costs for buying 5 pounds of chicken at each store are added to the total gas costs to and from each location to determine the total costs of each option.
Based on the cost difference of $1 ($18.34 - $17.34), it is not advisable to travel across town just for 5 pounds of chicken, especially when you factor in the wear and tear of the car along the distance and the time difference.
The cost of a pound of chicken at a neighborhood store = $2.99
The cost of a pound of chicken at the store across town = $3.29
The number of pounds of chicken required = 5 pounds
The distance to and from the neighborhood store = 4.6 miles (2.3 miles x 2)
The distance to and from the store across town = 17.6 miles (8.8 miles x 2)
The total time to and from the neighborhood store = 14 minutes (7 x 2)
The total time to and from the store across town = 42 minutes (21 x 2)
The time difference = 28 minutes.
Car's mileage per gallon = 19 mpg
The cost of gas per gallon = $3.66
The total cost of buying at the neighborhood store = $17.34 ($3.29 x 5 + $3.66 x 4.6/19)
The total cost of buying at the store across town = $18.34 ($2.99 x 5 + $3.66 x 17.6/19)
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help please the function f(x) = 3x -8 , solve f(x) = 7
Answer:
f(x) = 13
Step-by-step explanation:
f(x) = 7 means that x = 7
Plug this in:
3(7) - 8
21 - 8
13
f(x) = 13
please I need help on question 5
The value of x is 19 and the measure of angles in triangle ABC are 75°, 75° and 30° respectively.
What is a triangle?triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.
If ABC is a triangle, then it is denoted as ∆ABC, where A, B and C are the vertices of the triangle. A triangle is a two-dimensional shape, in Euclidean geometry, which is seen as three non-collinear points in a unique plane.
The sum of ∠A + ∠B + ∠C = 180°( sum of angles in a triangle )
3x + 18 + 7x - 58 + 2x - 8 = 180°
12x -48° = 180°
12x = 228
x = 228/12
x = 19
but ∠A = 3x + 18, but x = 19
∠A = 3(19) + 18 which is 75°
Also ∠B = 7x -58
∠B = 7(19) - 58 which is 75°
∠C = 2x -8
∠C = 2(19) - 8 which is 30°
In conclusion, the value of x = 19, ∠A = 75°, ∠B = 75° ∠C = 30°
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Find the coordinates of any points of intersection between the graphs of y = x^2 – 4x + 2 and y = -x^2 – 8x
Answer:
(-1, 7)
Step-by-step explanation:
First, set both equations equal to each other:
(y = x^2 – 4x + 2) = (y = -x^2 – 8x)
x^2 – 4x + 2 = -x^2 – 8x
x^2 + x^2 – 4x + 2 = -x^2 + x^2 – 8x
2x^2 - 4x + 2 = -8x
2x^2 - 4x +8x + 2 = -8x + 8x
2x^2 + 4x + 2 = 0
2(x^2 + 2x + 1) = 0
x^2 + 2x + 1 = 0
x^2 + x + x + 1 = 0
x(x+1) + 1(x+1) = 0
(x+1)(x+1) = 0
x+1=0
x=-1
y = -x^2 – 8x
y = -(-1)^2 – 8(-1) ==> plug in the x-value back into one of the equations
y = -1 – (-8)
y = -1 + 8
y=7
(-1, 7)
The ratio of the measure of the sides of a triangle is 2:3:6, and the perimeter is 187cm. What is the measure of the largest side?
The measure of the largest side of the triangle is 102cm.
What is ratio?Ratio, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.
For example, 2:3:6 shows the ratio of the sides of a triangle. The perimeter which is the addition of the triangle is 187cm.
Therefore the measure of each side will be given as:
2/11×187= 34cm
3/11×187= 51cm
6/11×187= 102cm
This means that the measure of the three sides are 34cm, 52cm, and 102cm.
Therefore the measure of the largest side is 102cm
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Use the discriminant to determine how many and what kind of solutions the quadratic equation 2x^2 - 4x = -2 has.
Please explain how you got the solution.
20 Points! Thanks!
Answer: One Real Solution
We can Identify the coefficients a, b, and c from your equation because as it says, it is in the format of the quadratic equation ( ax^2 + bx + c = 0 )
a=2,b=-4,c=2
Now we can use the discriminant to determine how many solutions this has using the equation b^2 - 4ac
Once we plug in our coefficients:
(-4)^2 - 4 x 2 x 2
Once we simplify, we get 0.
One real solution.
I hope this helps.
In this case, we first need to simplify the given quadratic equation 2x² - 4x = -2, and to do so, we perform the following simplification steps:
For a quadratic equation of the form ax² + bx + c = 0, the discriminant is calculated using the following formula:
Δ = b² - 4ac
In this case, we have that the equation that we must solve is 2x²-4=-2, which implies that the corresponding coefficients are:
a = 2b = -4c = 2By introducing these values into the formula we get:
Δ = b² - 4ac = (-4)² - 4·(2)·(2) = 0
Therefore, the discriminant for the given quadratic equation is Δ=0=0, which is zero, and indicates that the equation 2x²-4=-2 has only one real root.
We can say: It has a Real solution.Determine which set of ordered pairs represent a
Function and justify your selection.
{(-1,4), (2, 4), (8,4), (10,4)}
{(0, -2), (3, 7), (0, 2), (18,2))
{(-1,3), (-1,-1), (-1,-12), (-1,0)}
{(1, 2), (2, 3), (3, 4), (3,5)}
Justification: (What is your reasoning?)
Answer:
{(-1,4), (2, 4), (8,4), (10,4)}
all of the x-values are different
Step-by-step explanation:
The other three options have duplicate x-values with different y-values.
Carlos finished his English assignment in
1/3 hours Then he completed his chemistry assignment in 3/4
hours. How much more time did Carlos spend on his chemistry assignment?
Answer:
5/12
Step-by-step explanation:
we need to subtract these 2 fractions
3/4-1/3
to start we change so they can have common denominators and both of them can be 12
3x3/4x3-1x4/3x4
9/12-4/12
5/12
hopes this helps please mark brainliest
Marlene used the Distributive Property to find the product of 6 and 0.82. Which expression shows the Distributive Property?
The Distributive property on the expression gives a result of 4.9 and the distributed expression is (2 + 4) * 0.82
How to apply the Distributive property on the expression?From the question, we have the following parameters that can be used in our computation:
The expression is given as:
The product of 6 and 0.82
Mathematically, this expression can be represented as
6 * 0.82
To apply the distributive property,
We need to express 6 as the sum of two numbers
So, we have the following representation
6 * 0.82 = (2 + 4) * 0.82
Remove the brackets
6 * 0.82 = 2 * 0.82 + 4 * 0.82
Expand the terms of the expression
6 * 0.82 = 1.64 + 3.28
Evaluate the sum
6 * 0.82 = 4.92
Hence, the solution is 4.9
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An exponential function will have:
Answer:
Exponential functions have the form f(x) = bx, where b > 0 and b ≠ 1.
Step-by-step explanation:
On Tuesday, the Soto Salad restaurant served 6 ½ cups of Italian salad dressing. If the restaurant serves ¼ cup of dressing with each salad, how many salads were ordered with Italian dressing?
Group of answer choices
26
22
24
28
Answer:
26
Answer choice 1.
Step-by-step explanation:
6 1/2 ÷ 1/4 is our equation.
6 1/2 as an improper fraction is 13/2
Our new equation is 13/2÷1/4
flip the divisor into a reciprocal and multiply:
13/2×4/1
simplify:
13/1×2/1
26/1
=26
PLEASE MARK BRAINLIESTAnswer: The answer is A or 26
Step-by-step explanation: I have my ways ;>
3 cups= fl.oz how ever knows it i need the hole probelem
3 cups is converted to 24 fl.oz.
What is Unit of Measurement?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity
We need to convert 3 cups to fl.oz.
A fluid ounce is a unit used in the measurement of the volume of liquids. It is commonly abbreviated as fl. oz. (or fl oz)
By the omni chart we have 1 cup=8 fl.oz.
As there are 3 cups we have to multiply 8 with 3
3 cups = 24 fl.oz
Hence, 3 cups is converted to 24 fl.oz.
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What is square root of -36 classified as
Answer:
undefined
Step-by-step explanation:
The square root of any negative number is undefined because there is no possible solution. - × - = + and + × + = +
What is (-i)6?
O A. -i
OB. i
O C. 1
O D. -1
Answer: C. 1
Step-by-step explanation:
[tex](-i)^6 =(-1)^6 i^6 =(-1)(-1)=1[/tex]
angle PKW is 180 degrees if two additional rays were added, call them ray j and ray s respectively. how would you draw the diagram
The angle with 180° is a straight line, and the ray can be drawn in any way.
What is a ray?The definition of ray in maths, that it is a part of a line that has a fixed starting point but no endpoint.
Given that, angle PKW is 180 degrees and two additional rays were added,
The figure has been attached in answer.
We know when an angle measures 180° it makes a straight line and on it, we can draw as many ray as we want and in any way.
Hence, The angle with 180° is a straight line, and the ray can be drawn in any way.
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HELP ME OUT PLEASE ITS DUE IN 5 MINS
The equation that can be used to find the number of wolves in the state on January 1 is w - 23 = 84
How to represent a situation with an equation?A zoologist is recording the loss of wolves in her state. She notes the number of wolves, w, in the state on January 1. One year later, there were 84 wolves in the state, which is 23 fewer wolves than were in the state a year earlier.
The equation that can be used to find the number of wolves in the state on January 1 can be calculated as follows:
where
w = number of wolves in the state January 1.Therefore, the equation to represent the situation is as follows:
w - 23 = 84
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The table shows Tonya's homework assignment. Tonya's teacher instructed the class to simplify each expression by dividing the numerator and denominator by the GCF.
Complete the table by simplifying each expression and then finding the value.
Divide the numerator and denominator by the GCF to reduce a fraction. (This is also referred to as "writing a fraction in the simplest terms.") The common factors are sometimes shown to be "cancelled." It is worth noting that the result is an equivalent fraction in its simplest form.
How do you divide the numerator to the denominator by GCF?To put it simply, we must divide the numerator (x) by the denominator (y) to simplify it. For example, after simplifying 3 6, represent it as a fraction and identify the numerator and denominator. 3 6 can be written as 3/6. Further simplification yields 1/2.
Let's pretend the fraction is a proper fraction. The denominator is the numerator. We want to reduce the fraction to its simplest form.
a) Use Numerator =Remainder* as the denominator.
Now Numerator >Remainder* b)Numerator Remainder*=Remainder** c) ••• (keep going until Remainder =0)
d) When the Remainder equals zero, the Divisor is the GCD (or GCF, as you say). GCF is a misnomer because it only deals with numbers. Only the term GCF applies to variables (with numerical values, as in algebraic expression).
Let us look at an example.
407/3367 is the fraction.
As evident, the numbers407 ,3367 does not appear to have share Divisors 2 or 3 or 5 or 7 or 11 from prima facie considerations. So we may take recourse of successive division method.
3367 ÷407 =Remainder 111 (quotient 8)
407 ÷ 111 =Remainder 74 (quotient 3)
111 ÷74=Remainder 37 (quotient 1)
74 ÷37 =Remainder 0 (ZERO )
Here 37 divides leaving Remainder zero. Therefore the GCD is 37
Fraction 407 /3367 =(407 ÷37)/(3367÷37)=11/91
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How do you find equivalent in math?
To find equivalent expression in math is the fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.
In mathematics, equivalent fractions are those with the same denominator and differing numerators.
The multiplicity of a member of a multiset in mathematics is the number of times the member appears in the multiset. The multiplicity of a root, for instance, is how many times a given polynomial has a root at a particular point.
It's crucial to understand the concept of multiplicity in order to correctly count without mentioning exceptions (for example, double roots counted twice). Thus, "counted with multiplicity" is used.
This can be highlighted by counting the number of different elements, as in "the number of separate roots," if multiplicity is disregarded. However, multiplicity is always taken into account when a set (as opposed to a multiset) is established, therefore the word "different" is not necessary.
For instance, if we simplify 5/15, we get a fraction that is equal to 1/3, which is equal to 5/15.
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A small toy rocket is launched from a 18-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula h = - 3t^2 + 3t+18. How long will it take the rocket to hit the
ground?
The time it would take the rocket to hit the ground upon launch is; 3 seconds.
At what time does the rocket hit the ground?It follows from the task content that the time taken for the rocket in discuss to hit the ground upon launch is to be determined.
Since the given formula for the height in terms of time, t is;
h = - 3t² + 3t + 18
It follows that ; when the rocket hits the ground; the height; h = 0.
Therefore;
0 = - 3t² + 3t + 18
0 = -3t² + 9t - 6t + 18
0 = -3t ( t - 3 ) - 6 ( t - 3)
-3t - 6 = 0 OR. t - 3 = 0.
t = -2. OR. t = 3.
Therefore, since the time after launch can only be positive; the time taken for the rocket to hit the ground is; 3 seconds.
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Please help will mark Brainly
Answer:
neither narrower or broader
Step-by-step explanation:
if you look at your problem it says identical so that means exactly the same so it would be the second choice neither narrower or broader
Which pair of triangles is congruent by the ASA postulate?
In the concept of geometry, the pair of triangles that are congruent by the ASA Congruent Theorem are the pairs that have two corresponding angles and an included side that are congruent to each other.
Congruent:
Congruent refers the identical in shape and size.
Given,
Here we need to find in which pair of triangles is congruent by the ASA postulate.
As per the Angle-Side-Angle Congruent Theorem (ASA) states that when two triangles are considered congruent if they have two corresponding angles that are congruent and an included side that are congruent to each other.
So, this one included side is the side that is lie between the two congruent angles in each of the triangles.
Therefore, the triangle which form the pairs of angles given has two corresponding angles and an included side that are congruent to each other in each triangle.
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Given f(x)=4(3-x), what is the value of f(-11)? How do I solve these types of equations?
Answer:
-32
Step-by-step explanation:
Simple
you will just substitute where there is x
for example if f(x)=3x+1 what is f(-2) so we will just substitute( place 2 for x)
it will now be f(-2)=3(-2)+1
=-6+1
=-5
so back to your question My friend
f(x)=4(3-x)
f(-11)=4(3-11)
=4(-8)
=-32
Thanks
72 items to ship 6 in each case how many cases total
The unknown number of cases that to be shipped if there are 72 items to ship 6 in each case is 12.
How many number of cases in total will be shipped?To determine the total number of cases needed to ship 72 items, we need to divide the total number of items by the number of items in each case. In this case, we have 72 items to ship and each case can hold 6 items.
When we divide 72 by 6, we get 12. This means that there are 12 groups of 6 items that can be packed into cases. Each group represents one case.
Therefore, the total number of cases needed to ship 72 items is 12. Each case will contain 6 items, and there will be 12 cases in total.
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Solve the system by substitution. y equals 2 x squared minus 3 x minus 1 y equals x minus 3
When an integer is subtracted from 8 times the next consecutive even integer, the difference is 86. Find the value of the greater integer.
Step-by-step explanation:
x = the integer number
8×(x + 2) - x = 86
8x + 16 - x = 86
7x = 70
x = 10
x + 2 = 12
the larger integer is 12.
Please help As soon as possible I don't quite get this and I need this handed in PLEASE!!
The polynomial 1 / 10 x² + 10 - 3x in standard form is 1 / 10 x² - 3x + 10.
How to represent polynomial in standard form?The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.
Standard form simply refers to the format of a polynomial expression where the terms are arranged by decreasing order of degree. Where the degree is determined by the exponent value of the variable of each term.
Therefore, let's rewrite the expression in standard form.
1 / 10 x² + 10 - 3x
Hence, in standard form,
1 / 10 x² - 3x + 10
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Kason went to Bella's bakery and ordered 3 mango smoothies, 3 chocolate covered cherries, and 1 peanut butter cookie how much money did he spend ?
chocolate-covered cherry costs $ 0.75 mango smoothies costs $ 4.25 peanut butter cookie costs $ 1.25
Answer:
16.25
Step-by-step explanation:
3 x 0.75(chocolate covered cherries) = 2.25
3 x 4.25(mango smoothie) = 12.75
1 x 1.25( peanut butter cookie)= 1.25
12.75 + 2.25 + 1.25= 16.25
I hope this helps...
Answer:
Kaso spent $16.25 at Bella's bakery
Step-by-step explanation:
Each item costs a certain amount of money. What you have to do is multiply that amount by the number of each item. Then, add the sum.
Kason ordered 3 mango smoothies. Each smoothie costs $4.25. Therefore multiply 3(4.25)=12.75
Next, he ordered 3 chocolate covered cherries. Each cherry costs 0.75. Multiply 3(0.75)=2.25
Finally, Kason ordered 1 peanut butter cookie. Since each cookie costs 1.25, that is the amount he paid for the peanut butter cookie.
Add the 3 numbers together.
12.75+2.25+1.25=16.25
This is the amount of money he spent in total.
7. What is Mrs. Dudley's waming to the guests regarding her leaving the property at night?
a. If they do not clear the dinner table, she will not "wait on people" the following moming
(b.) If they get into trouble, she wouldn't be able to hear them "in the night"
c. If they decide they want to leave, no one will be there to "open the gate" for them
d. If they experience anything, not to "confront" it
8. Which statement best embodies Eleanor's feelings about Hill House?
a. "There is a comforting calmness that accompanies the silence that fills these halls"
b. "My confidence grew that my journcy will end with lovers mecting" "It's awful and I don't want to stay...get away from here, get away"
a. "I am finally starting to feel wanted because of these three people I can call friends"
9. The second guest claims that Eleanor is like his/her...
a. Best friend
b. Sister
(c) Cousin
d. mother
10. Which of the following statements does NOT describe Hill House or how it made its inhabitants feel?
a. "Hill House gave its guests a false sense of comfort and security"
b. "Hill House seemed awake"
c. "Hill House would stay as it was until it was destroyed"
d. "I am like a small creature swallowed whole by a monster [Hill House]"
In the end, Hill House stands for the enigmas of the human mind, whether it is "sane" or not, as well as the horror that the mind's intrinsic weirdness can arouse. Hill House is intricate, convoluted, and appears to be unknowable, just like the mind.
How does Dr Montague describe Hill House?The history of Hill House is first described by Doctor Montague.
He asserts that "the concept of certain houses as filthy or banned" is an old one, much like the idea that some places on earth are fundamentally good and good, while others are sacred or holy.
Possibly "evil from the start," the Hill House has been uninhabitable for more than twenty years.
Instead of being malicious, Doctor Montague sees the home as sick or "deranged."
Doctor Montague learned about the rental from a previous tenant a year ago.
After researching it, he found that no renter had kept it for more than a few days.
Even finding a short-term lease, according to Montague, was challenging.
10) "Hill House provided its visitors with a false sense of security and comfort"
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Describe the function‘s end behavior. f(x)=−10+2x^5−9x^3
as x→∞,f(x)→
as x→−∞,f(x)→
The function‘s end behavior is falls to the left and rises to the right.
The given function is [tex]f(x)=-10+2x^5-9x^3[/tex].
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Use the degree and the leading coefficient to determine the behavior.
Falls to the left and rises to the right.
Find where the first derivative is equal to 0 to find the local maxima and minima.
x =−3√30/10 is a local maximum
x = 3√30/10 is a local minimum
Therefore, the function‘s end behavior is falls to the left and rises to the right.
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In which quadrant is the number 5i located on the complex plane?
The number 5i located on the complex plane in I Quadrant.
What is Complex Plane?
The real axis and the imaginary axis are the graph's horizontal and vertical axes, which are orthogonal (or perpendicular). The labels Re and Im are typically present. The complex plane is the plane defined by these coordinates.
We are aware that in a two-dimensional plane, an ordered pair's x- and y-coordinates are treated as the real and imaginary parts of the complex number, respectively.
i.e., a+bi=(a,b) -- Quadrant I,
-a+bi=(-a,b) -- Quadrant II,
a-bi=(a,-b) -- Quadrant III
and
-a-bi=(-a,-b) -- Quadrant IV
The complex number that is being presented is 5i, aland it is located in quadrant I.
As a result, the complex number in question belongs in Quadrant I.
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