We are spending $ 0.0263 less every Mello Yello can, therefore it is the better buy.
What is profit and loss?
Subtract the smaller value from the greater value in order to calculate the profit or loss. The selling price is always higher than the cost price when there is a profit. Selling price minus cost price is profit. In a loss scenario, the cost price is higher than the selling price. Loss = Price Cost
Given,
20 cans of Mello Yello for $4.75
Therefore cost of 1 can of Mello Yello = $4.75 / 20 = $ 0.2375
Also given,
36 cans of Sprite for $9.50
Therefore, cost of 1 can of Sprite = $9.50 / 36 = $ 0.2638
Therefore, per can we are paying $ 0.0263 less for Mello Yello.
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Complete Question:
Which is the better buy? Circle your answer (show supporting work)
20 cans of Mello Yello for $4.75
36 cans of Sprite for $9.50
Please help I’ll mark you as brainliest if correct!!
Blanks to be filled by 4,3,8 and 3.
What is multiplication?Multiplication in mathematics is the same as adding equal groups. As we multiply, there are more items in the group. The product, the two factors, and the product are all components of a multiplication problem. The numbers 6 and 9 are the factors in the multiplication equation 6 x 9 = 54, and 54 is the result.
Given Data
3 __ 8
× 7 8 4
_____________
1 _ 9 2
2 7 __ 4
_ 4 3 6
_____________
2 7 2 8 __ 2
_____________
Solving
Multiplying and adding,
3 _4_ 8
× 7 8 4
_____________
1 3_ 9 2
2 7 _8_ 4
_ 4 3 6
_____________
2 7 2 8 _3_ 2
_____________
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Which description best compares the graph given by the following equations:
Based on the equations given, the best comparison between them is that they are intersecting but not perpendicular.
How to know lines that are perpendicular?When lines are perpendicular to each other, one line will have a slope that is the negative reciprocal of the other. For instance, if the slope of one line is 2, the slope of the perpendicular line will be -1/2.
Parallel lines will have the exact same slope.
The slope of the first line is:
2x - 7y = -5
(2x - 7y = -5) x 1/7
2/7x - y = -5/7
Slope = 2/7
The slope of the second line is:
x - 3y = 4
(x - 3y = 4) x 1/3
1/3x - y = 4/3
Slope = 1/3
The slopes are neither negative reciprocals nor the same so the lines must be intersecting but not perpendicular.
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is 257 math map good for a 9th grader? fall edition?
Answer:
VERY
Step-by-step explanation:
VERY
To which set(s) of numbers does √2 belong?
Select all that apply.
A. rational
B. irrational
C. integer
D. whole
E. natural
F. not rational
The number √2 is an irrational number, thus, the correct options are B: irrational and F: not rational
To wich sets the number belongs?Remember what each sets are.
Natural or whole numbers are all the numbers that can be get by adding ones to one {1, 2, 3, 4, ...}
Integers are like the above ones, but also includes the zero and negative numbers.
Rationals are the ones that can be written as a quotient between two integers, and irrationals are these ones that can't be written like that.
Finally, real numbers are all the numbers.
In this case we have the square root of a prime number, √2, this is always a irrational number.
Then option B is correct.
Trivially, option F (not rational) is also true, because if the number is irrational, then it is not rational.
Then the correct options are B and F.
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Factor:
b(a+1)^2 -5(a+1)
[tex] = (a + 1)(b(a + 1) - 5)[/tex]
HOPE THIS HELPS
Find the first derivative.
Answer: y’ = 2/3 x^1/2 - 2/ sqrt of x - 5/2x^2/3
I’m given an answer but don’t know how to get it.
Answer: Use the quotient rule to solve this problem (formula attached). g(x) would be -sqrt x and f(x) would be x^2 - 4x +5.
Find the angles and sides of the right triangle B = 70 degrees, b= 19ft. Please round to the nearest degree.
Data:
• B = 70°
,• b = 19ft
,• C = 90°
Procedure:
• Finding the angles
We know that C = 90° as the image shows the symbols. Also, we know that the sum of the interior angles of a triangle are 180°. Then, to get A we have to do the following:
[tex]A+B+C=180[/tex]Isolating for A:
[tex]A=180-B-C[/tex]Replacing the values we know:
[tex]A=180-70-90[/tex][tex]A=20[/tex]• Finding side ,a
Using trigonometric functions, we can get a.
[tex]\tan (A)=\frac{a}{b}[/tex]As we already know the value of A and b, we can isolate for a:
[tex]a=b\cdot\tan (A)[/tex]Replacing the values:
[tex]a=19\cdot\tan (20)\approx6.92[/tex]• Finding side ,c
Finally, using the Pythagorean Theorem, we can calculate c:
[tex]c^2=a^2+b^2[/tex]Isolating for c:
[tex]c=\sqrt[]{a^2+b^2}[/tex]Replacing the values:
[tex]c=\sqrt[]{6.92^2+19^2}[/tex][tex]c\approx20.22[/tex]
Answer:
• A = 20°
• a = 6.92 ft
,• c = 20.22 ft
The cost to travel X miles east or west on a train is the same. The function for the cost
c(x) = 0.75|x| + 25.
Describe how c(x) is related to its parent function and interpret the function in the context of the situation.
C(x) is related to its parent function c(x) = 0.75|x| + 25.
The function in the context of the situation illustrated that the cost is the same.
How to illustrate the information?It should be noted that a function is used to show the relationship between the variables.
In this case, the cost to travel X miles east or west on a train is the same. The function for the cost is given as c(x) = 0.75|x| + 25.
Let East = positive direction
Let West = negative direction
Let the travel distance in East = x
Travel distance for West = -x mile
The cost to travel East x miles will be:
= 0.75(x) + 24
= 0.75x + 25
The cost to travel West will be:
c(-x) = 0.75x + 25
This shows that the cost will be the same even though there in different directions.
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If the sum of three consecutive odd integers is 57, what is the smallest of the three integers?
Answer:
The smallest of the three integers is 17. (17, 19, 21)
A store sold 14 more colored shirts than white shirts. The white shirts cost $9.95, and the colored shirts cost $10.50. The store sold $310.60 worth of shirts.
How many of each type of shirt were sold?
A store sold 22 colored shirts and 8 white shirts.
Let x be the number of colored shorts and y be the number of white shirts.
A store sold 14 more colored shirts than white shirts.
so, we get an equation,
x = y + 14 ....................(1)
The white shirts cost $9.95, and the colored shirts cost $10.50. The store sold $310.60 worth of shirts.
So we get an equation,
10.50x + 9.95y = 310.60 .............(2)
Substitute above value of x in equation (2)
10.50(y + 14) + 9.95y = 310.60
10.50y + 147 + 9.95y = 310.60
20.45y = 310.60 - 147
20.45y = 163.6
y = 8
Substitute above value of y in equation (1)
So, x = 8 + 14
x = 22
Therefore, a store sold 22 colored shirts and 8 white shirts.
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3. A bus travels a distance of 60 km at a steady speed of 60 km/h. (a) Does the distance travelled vary directly with time?If the journey takes 8 hours, find its speed.
a) The distance that the bus traveled varies directly with time.
b) If the journey of 60 km takes 8 hours, the speed of the bus is 7.5 km/h.
What is the relationship between distance and speed?The relationship between distance and speed can best be explained below:
For a constant speed, for example, 60 km/h, the distance traveled, 60 km, is proportional to the time used.
But if the distance is fixed at 60 km, the time it takes the bus, for example, 8 hours, is inversely proportional to the speed.
Total distance = 60 km
Steady speed = 60 km/h
Thus, for every kilometer, the bus takes one minute (60/60) and for every minute, the bus travels a kilometer.
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Evaluate the expression and enter your answer in the box below.[(14 + 7) + 3) + 10 (6-3)
Given the expression below
[tex](14+7)+3)+10(6-3)[/tex]We can evaluate the expression by simplifying the parenthesis
[tex]\begin{gathered} (14+7)+3)+10(6-3) \\ =(21+3)+10(3) \\ =24+30 \\ =54 \end{gathered}[/tex]Answer: 54
Which number line plots the integers –12, –3, and 7? A number line going from negative 15 to positive 10. Points are at negative 12, negative 3, and 7. A number line going from negative 15 to positive 10. Points are at negative 8, negative 3, and 7. A number line going from negative 15 to positive 10. Points are at negative 12, negative 8, and negative 3. A number line going from negative 15 to positive 10. Points are at negative 12, negative 8, and 3. (ANSWER ASAP PLS)
A number line that plots the integers –12, –3, and 7 will be A. A number line going from negative 15 to positive 10. Points are at negative 12, negative 3, and 7.
What is a number line?It should be noted that a number line simply means the straight line that can be used to show the addition and subtraction of numbers.
It should be noted that the negative numbers are on the left hand side and the positive numbers are on the right hand side.
Therefore, this is conveyed effectively by option A.
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Algebra ll please help
The formula to obtain the future value (FV) is,
[tex]FV=PV(1+\frac{r}{n})^{nt}[/tex]Where,
[tex]\begin{gathered} FV=\text{Future Value=?} \\ PV=\text{Present Value = \$5000} \\ r=4.2\text{ \%=}\frac{\text{4.2}}{100}=0.042 \\ n=12 \\ t=n\text{umber of years }=5\text{years} \end{gathered}[/tex]Therefore,
[tex]\begin{gathered} FV=5000(1+\frac{0.042}{12})^{12\times5}=5000(1+0.0035)^{60} \\ FV=5000(1.0035)^{60}=5000\times1.233225821=6166.129106 \\ FV=6166.129106\approx6166.13(nearest\text{ cent)} \\ \therefore FV=\text{ \$6166.13} \end{gathered}[/tex]ence, there will be $6`166.13 in the account after 5years.
Please help I’ll mark you as brainliest if correct!
Answer:
it's easily 47 as it's finished basement ALONE and b is 3 car garage ALONE while c is both so it's asking who has a finished basement ALONE/ONLY
Answer:
38
Step-by-step explanation:
The total homes are 85
Of the homes with finish basements it is 47
Then you find the difference: 85-47 =
The final answer is 38
Select the counterexample that shows that the conjecture is false.
Conjecture: The product of two positive numbers is always greater than either number
Answer: 1*5=5 is the counterexample.
Step-by-step explanation: The conjecture stated is that the product of two positive numbers is always greater than either number. We have to find certain values to check and see if this conjecture is false. We can use the numbers 1 and 5 to multiply. This would be the identity property of multiplication. 1 and 5 are both positive numbers and therefore that 1*5=5 is the counterexample.
help meeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
74.44
Step-by-step explanation:
[tex]P(10)=0.018(10)^3-0.294(10)^2+3.065(10)+55.190 \\ \\ =74.44[/tex]
c
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d
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The value of expression c − a + b d on simplification is (-10101.2).
As per question we need to solve the given equation i.e., c − a + b d
And we are provided with the values of a, b , c and d.
Here we have ,
a=78,
b=−716
c=0.8
and d=14
The given equation is,
c − a + b d
Now we need to substitute the value of a, b, c and d. On substituting the value of a, b, c and d , we get
(0.8) - 78 + (-716) (14)
= (0.8) - 78 - 10024
= (-10101.2)
So, we can conclude that the value of given expression on simplification is (-10101.2).
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In the lab, Charlie has twosolutions that contain alcohol and is mixing them with each other. Solution A is 20% alcohol and Solution B is 6%
alcohol. He uses 300 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 12% alcohol solution?
Charlie used 400 milliliters of Solution B if the resulting mixture is a 12% alcohol solution.
What does "algebraic equation" mean?An algebraic equation is a declaration of the equality of two expressions created by applying the algebraic operations to a set of variables.
What kind of algebraic equations are there?Monomial expressions, binomial expressions, and polynomial expressions are the three main categories of algebraic expressions.
Given : Solution A contains 20% alcohol, while Solution B contains 6% alcohol.
It is also given that Charlie uses 300 milliliters of Solution A.
Let's say that the mixture contained x ml of the 6% solution B.
x + 300 = resulting mixture of 12 % alcohol.
20% (300) + 6% (x) = 12% (x+300)
60 + 0.06x = 0.12x + 36
0.06x = 24
x = 400 milliliters
As a result, if the resulting mixture is a 12% alcohol solution, he used 400 milliliters of Solution B.
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I need help with this
Answer:Explanation:
Option 1: Vertically compressed by a factor of 4, reflected across the x-axis, and shifted right 6 units and down 2 units.
iven the parent function:
[tex]y=f(x)[/tex]If y is vertically compressed by a factor of 4, we have:
[tex]\frac{1}{4}f(x)[/tex]Next, a reflection across the x-axis will give:
[tex]-\frac{1}{4}f(x)[/tex]If the result is shifted
[tex]-\frac{1}{4}f(x-6)[/tex]Finally, a shift downwards by units gives:
[tex]g(x)=-\frac{1}{4}f(x-6)-2[/tex]Thus, the graph of g(x) is the graph of y vertically compressed by a factor of 4, reflected across the x-axis, and shifted right 6 units and down 2 units.
he firsyt option is correct.
What is 1/2inch to 4 ft
The required metric conversion is:
96 times 1/2 inch is equal to 4 feet
In this question, we need to find convert 1/2 inch to 4 feet
We need to convert metric unit.
We know that, 1 feet = 12 inches
So, 4 feet would be 48 inches
We can write 48 inches as,
48 inches
= 96 × (1/2) inches
This means, if we add 1/2inch 96 times then it is equal to 4 feet
Therefore, the required metric conversion is: 96 times 1/2 inch is equal to 4 feet
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2(y − 11) = 4 im sorry i dont know what to do when the subtraction sign is there?
I need help question
3. Simplify using BODMAS property a) 107-[59-(18+9-(12-18+6) +3}] b) [222-486 of 8]+(58-45) * 8 c) 1500-[160+ (40-(120-100)}]
Answers to all the problems using BODMAS property are:
(A) 78(B) -2,008(C) 1,320What is BODMAS property?The brackets must be solved first, then powers or roots (i.e. of), Division, Multiplication, Addition, and finally Subtraction, according to the BODMAS rule. Any expression can only be solved correctly if the BODMAS rule or the PEMDAS rule is applied.So, (A) 107-[59-(18+9-(12-18+6) +3}]:
107-[59-(18+9-(12-18+6) +3}]107-[59-(18+9-0+3}]107-[59-(27+3)]107-[59-30]107 - 2978(B) [222- 486 of 8]+(58-45) × 8
[222- 486 of 8]+(58-45) × 8[-264 × 8]+(13)× 8-2,112 + 104-2,008(C) 1500-[160+ (40-(120-100)}]
1500-[160+ (40-(120-100)}]1500-[160+ (40-20}]1500-[160+ 20]1500-1801,320Therefore, answers to all the problems using BODMAS property are:
(A) 78(B) -2,008(C) 1,320Know more about BODMAS property here:
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See questions below. Thank you
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the given data
[tex]\begin{gathered} n=10 \\ r=7 \end{gathered}[/tex]STEP 2: answer question a
[tex]^nC_r=\frac{n!}{(n-r)!r!}[/tex]To get the answer,
[tex]\begin{gathered} ^{10}C_7=\frac{10!}{(10-7)!7!} \\ =\frac{10\times9\times8\times7!}{3!7!}=\frac{10\times9\times8}{3!}=120 \end{gathered}[/tex]Hence, 120 different toppings pizza are possible
STEP 3: Answer question b
[tex]=^{75}C_4=\frac{75!}{(75-4)!4!}=1215450[/tex]Hence, 1215450 mini-boxes are possible
Arrange in order from smallest to largest.
6.187, 27.132, 3.55, 9.312
Answer: 3.55, 6.187, 9.312, 27.132
Step-by-step explanation:
The easiest way I do this is by rounding all the numbers to the nearest hundredths, tenths, or whole numbers.
3.55 = 4
6.187 = 6
9.312 = 9
27.132 = 27
find the measure of each angle. JKL=5x+4 and LKM=3x
Angle JKL has a measure of 24 degrees while angle LKM has a measure of 12 degrees
How to determine the measure of each angle?The possible question is added at the end of the solution and as an attachment
From the attached figure, we have the following angles
Angle 1: Angle JKL = 5x+4Angle 2: Angle LKM = 3xFrom the attached figure, we can see that:
Angle 1 is twice the measure of angle 2
This is so because, the angle 1 is the vertex angle of an isosceles triangle
While the angle 2 is half of it
So, we have
Angle 1 = 2 * Angle 2
Substitute the known values in the above equation
So, we have
2 * 3x = 5x + 4
Evaluate the product
So, we have
6x = 5x + 4
Evaluate the like terms
x = 4
Substitute x = 4 in the equations JKL=5x+4 and LKM=3x
So, we have
JKL= 5 x 4 + 4
LKM = 3 x 4
Evaluate the equations
So, we have
JKL= 24
LKM = 12
Hence, the measures of the angles are JKL= 24 and LKM = 12, respectively
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help me with this is due tommorow
a ) The value is 4.472
b)2 decimal place is 4.47
What is decimal number ?When expressing a whole number and a fraction together, decimals are utilized. Here, we shall use a "." (also known as a decimal point) to demarcate the full number from the fraction. Say, for illustration, that you intend to bring a cone of ice cream. You are informed by the vendor that ice cream costs $2 and 50 cents. Now, if you wanted to sum up this cost in a single number, you would say that an ice cream cone costs $2.50. You may be utilizing decimals without even recognizing it in a variety of everyday settings.
[tex]\sqrt{4.5^{2} -0.5^{2} }\\ \sqrt{20.25-0.25} \\\sqrt{20}\\ 4.4721[/tex]
a ) The value is 4.472
b)2 decimal place is 4.47
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Given that A, O & B lie on a straight line segment, evaluate the size of the smallest angle. The diagram is not drawn to scale.
answer today plsssss
The evaluated value of x from the line geometry given is 36.
Lines and anglesAn angle is the point where two lines meet. From the given diagram, the sum of the angles on the line is 180 degrees.
Take the sum to have
x + 3x + x = 180
Simplify
4x + x = 180
5x = 180
Divide both sides by 5
5x/5 = 180/5
x = 36
Hence the value of x from the diagram is 36
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If a = 4 + 2i and b = 3, then find the value of the ab² in fully simplified form.
The value of complex number is [tex]ab^{2}[/tex] = 36+18i
What is complex number?
The complex number is basically the combination of a real number and an imaginary number. The complex number is in the form of a+ib, where a = real number and ib = imaginary number.
The alphabet i is referred to as the iota and is helpful to represent the imaginary part of the complex number. Further the iota(i) is very helpful to find the square root of negative numbers.
Given,
a = 4+2i
b = 3
[tex]b^{2}[/tex] = 3(3)
= 9
Hence, the value of
[tex]ab^{2}[/tex] = (4+2i)9
=36+ 18i
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