Answer:
(28.36)
Step-by-step explanation:
Burger Barn makes a dipping sauce by mixing 4 spoonfuls of honey with 1 spoonful of mustard. Sandwich Town makes a dipping sauce by mixing 8 spoonfuls of honey with 2 spoonfuls of mustard
Which dipping sauce has a stronger mustard flavor?
The dipping sauce which has a stronger mustard flavor between burger barn and be sandwich town is burger barn
RatioBurger bun:
Honey = 4 spoonfulsMustard = 2 spoonfulsMustard : honey
= 2 : 4
= 2/4
= 1/2
= 0.5
Sandwich:
Honey = 8 spoonfulsMustard = 2 spoonfulsMustard : honey
= 2 : 8
= 2/8
= 1/4
= 0.25
Therefore, burger barn has a more stronger mustard flavor of dipping sauce between burger barn and be sandwich town.
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Answer:
Step-by-step explanation:
The two dipping sauce have same taste.
A newspaper started an online version of its paper 14 years ago. In a recent presentation to stockholders, the lead marketing executive states that the revenues for online ads have more than doubled that of the revenues for printed ads since starting the online version of the paper. Use the graph below to justify the lead executive’s statement and to determine the approximate year that the two ad revenues were equal.
It is to be noted that at the seven and half year, is when the revenue of both ads became equal. This is a graph problem. See the explanation below.
What is the explanation for the above answer?Step 1:
Note that the amount of money earned by routine company activities is known as revenue, which is calculated by dividing the average sales price by the number of units sold.
Step 2:
Note that the graph is to be used to justify the statement by the lead executive.
Step 3
From the graph, we know that the revenue in the 10th year for printed ads was $ 2,000,000 and $ 3,000,000 for online ads. Represented on as coordinates, that would be (0,3); (10, 2).
Thus, we can create an equation that states:
(y-2) = [(3-2)/(0-10)] * (x - 10)
⇒ y - 2
= [-1/10] * [x - 10]
Hence,
10y - 20 = - x + 10
10 y + x = 30 ........Lets call this equation A
We can also state that:
Online revenue coordinates on the graph are (0,0,) (10, 3)
Thus,
(y-0) =
[(3-0)/(10-0)] (x -0)
⇒ y = [3x/10] [10y - 3x] = 0.........Lets make this equation B
For printed Ad Revenue:
Year 12= x
10y + 12 = 30
Y = 18/10
y = 1.8
For online Ad revenue
Year = 12 = x
10y = 36
Y = 36/10
y = 3.6
From the above, it is clear that in year 10, the online ad revenue got doubled as same as that of revenue from printed ads.
In order to get the year in which the revenue were equal, we solve both equations simultaneously:
+ 10y + x = 30
± 10y ≠ 3x = 3
4x = 30
x thus, = 30/4
= 7.5
Thus, it is correct to state that both revenue's became equal by the mid of the 7th year going to the eight year.
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Full Question:
Missing graph is attached.
What is the slope of the line that passes through the points (1, 1) and (4, 4)?
Write your answer in simplest form.
Answer:
The answer is 1
Step-by-step explanation:
Formula for finding the slope: [tex]\frac{y2-y1}{x2-x1}[/tex]
Take y2 and y1 from (4,4) (1,1)
Take x2 and x1 from (4,4) (1,1)
[tex]\frac{y2-y1}{x2-x1} = \frac{4-1}{4-1} = \frac{3}{3} = 1[/tex]
This is how the answer is 1
Hope it helps :)
Katie is planning to paint the gate of her house that has a glass panel. Painting the gate costs $4 per square foot. How much will she have to spend to paint the gate?
Answer:
$14.15
Step-by-step explanation:
6+4+.75+.4
If it costs susan $25 to rent a truck for 1 hour and $100 to rent a truck for 4 hours, how much will it cost for her to rent a truck for her entire 8-hour work day? a. $150 b. $200 c. $225 d. $250
Answer: $200 (choice B)
Explanation:
Notice that 100/4 = 25 which matches with the fact the cost is $25 per hour.
Therefore, 8 hours will yield a total cost of 8*25 = 200 dollars
The cost for Susan to rent a truck for her entire 8-hour work day is $200. Therefore, option B is the correct answer.
Given that, if it costs Susan $25 to rent a truck for 1 hour and $100 to rent a truck for 4 hours.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Cost of rent of truck for 8 hours = 1 hour rent × Number of hours
= 25 × 8
= $200
The cost for Susan to rent a truck for her entire 8-hour work day is $200. Therefore, option B is the correct answer.
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Seema had 150 marbles.rani had 20 marbles more than seema.alok had 50 marbles lass than rani how many marbles did rani have
Answer:
120
Step-by-step explanation:
seema 150 marbles
rani 20 more marbles
alok 50 less marble
150+20=170_rani
170-50=120_alok
Find the midpoint of the line segment
with endpoints (-4, 16) and (6, -10).
Answer:
B. (1,3)Step-by-step explanation:
What is a midpoint?Midpoint a point equidistant from the ends of a line or the extremities of a figure.
To find the midpoint of the line segment with endpoint, use the midpoint formula.
Midpoint formula:
[tex]\Rightarrow: \sf{\dfrac{x_2+x_1}{2}, \dfrac{y_2+y_1}{2} }}}[/tex]
y2=(-10)
y1=16
x2=6
x1=(-4)
Rewrite the problem down.
[tex]\sf{\left(\dfrac{6-4}{2},\:\dfrac{-10+16}{2}\right)}[/tex]
Solve.
6-4=2
2/2=1
-10+16=6
6/2=3
= (1,3)
Therefore, the correct answer is B (1,3).
I hope this helps, let me know if you have any questions.
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A polynomlal function has x-Intercepts at -2, ;, and 2 and a relative maximum at x=-1. graph Which graph matches the description of this function?
The graph that matches the polynomial function that has x-Intercepts at -2, ;, and 2 and a relative maximum at x = -1 is: graph A.
How to Determine the Graph of a Polynomial Function?We are given that the polynomial function has the following characteristics:
Relative maximum at x = -1, this implies that the peak point of the graph has an x-value that is equal to -1. In order words, the "mountain" is at x = -1.
Graph A has a "mountain" that is at x = -1.
We are given the x-intercepts of the polynomial function as:
-2, 1/2, and 2. This means that the graph intercepts the x-axis at -2, 1/2, and 2.
Graph A in the image attached has x-intercepts of -2, 1/2, and 2.
Therefore, we can conclude that the graph that matches the polynomial function that has x-Intercepts at -2, ;, and 2 and a relative maximum at x = -1 is: graph A.
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What is the perimeter of the given triangle?
10 units
16 units
17.2 units
19.2 units
Answer:
17.2 units
Step-by-step explanation:
You would use the Pythagorean Theorem to solve. The height (a) is 4 units. The base (b) is 6 units.
4^2 + 6^2 = sqrt(52)
This would mean that the hypotenuse is 7.211102550927979 units or 7.2 units (the square root of 4^2 + 6^2).
Now you would need to just add all three sides.
6 + 4 + 7.2 = 17.2 units
Hope that helps! Please mark me brainliest!
HEY PLS HELP IM STUCK
The area of a circle of radius 10 units is equal to the surface area of a sphere of radius 5 units.
A. True
B.False
Explanation:
The area of the circle with radius 10 is...
A = pi*r^2
A = pi*10^2
A = 100pi
The surface area of the sphere with radius 5 is...
SA = 4pi*r^2
SA = 4pi*5^2
SA = 100pi
Both results are the same, so the claim is true. We can think of surface area as the amount of wrapping paper needed to cover the sphere.
The x component of vector is 5.3 units, and its y component is -2.3 units. The angle that vector makes with the x-axis is closest to?
The angle that vector makes with the x-axis is closest to [tex]340^\circ[/tex].
What is a vector?
An item with both magnitude and direction is referred to be a vector. A vector can be visualized geometrically as a directed line segment, with an arrow pointing in the direction and a length equal to the magnitude of the vector. The vector points in a direction from its tail to its head.
If the magnitude and direction of two vectors match, they are the same vector. This indicates that if we take a vector and move it to a different point (without rotating it), the vector we finish up with is the same vector we started with.
Given,
[tex]x[/tex]-component of vector = 5.3
[tex]y[/tex]-component of vector = -2.3
angle = [tex]tan^{-1}(\frac{y}{x})[/tex]
angle = [tex]tan^{-1}(\frac{-2.3}{5.3} )[/tex]
angle = [tex]340^\circ[/tex]
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It’s the start of a new football season and my favorite team, the WACO Hawks, is looking good! They won their first
game by beating Dublin Irish 28-27 on a last second play.
In the course of the game they piled up a lot of running yards, divided among four players:
• The bruising fullback, Vernon Variable, accounted for a chuck of those yards.
• The star halfback, Reggie Root, ran for 15 less than three times as many yards as Vernon did.
• The speedy wide-out, Larry Linear, only ran once but he picked up 11 more yards than Vernon’s total on that
play, a fancy reverse that went for a touchdown.
• The crafty quarterback, Quentin Quadratic, ran for a total of 18 yards on a variety of scrambles.
If the WACO Hawks ran for 229 yards, how many yards did each of the four players gain? Remember to define a
variable, write an equation, and explain your work (focusing on the why you did what you did)
Vernon Variable ran 43 yards, Reggie Root ran 114 yards, Larry Linear ran 54 yards, and Quentin ran 18 yards.
How to solve Linear Equations Word Problems?We are told that the total number of yards the WACO Hawks ran is 229. Thus, we can say that: W = 229
Now, we know that Vernon Variable gained many yards. Thus, the amount of yards will be indicated by "V"
Now, Reggie Root ran for 15 less than three times as many yards as Vernon did. Thus, distance Reggie root ran is represented by;
R = 3V-15
Larry Linear picked up 11 more yards than Vernon’s total. Thus, total yards by Larry Linear is: L = V + 11
Quentin Quadratic ran a total of 18 yards. Thus; Q=18.
Now, all of the player's totals add up make what the total team ran. Thus, the expression is;
V + 3V - 15 + V + 11 + 18 = 229
Simplifying this gives;
5V + 14 = 229
5V + 14 = 229
Subtract 14 from both sides to get;
5V = 215
Divide both sides by 5 to get;
V = 43
Thus, Vernon ran a total of 43 yards.
Total run by Reggie is:
R = 3(43) -15
R = 129 - 15
R = 114 yards.
Total run by Larry:
L = V + 11
L = 43 + 11
L = 54 yards.
Thus, we conclude that Vernon Variable ran 43 yards, Reggie Root ran 114 yards, Larry Linear ran 54 yards, and Quentin ran 18 yards.
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The volume of the square-based pyramid shown is 72 m³. If the area of its
base is 36 m2, what is the height (h) of the pyramid?
base,
Answer:
Height = 6m
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] × 36 = 12
72 ÷ 12 = 6
Find the area of the shaded region. Round the answer to the nearest
tenth decimal place.
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
Area of shaded region = 2571.66 in²[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
Radius of smaller circle = 25 in
Radius of larger circle = 25 + 13 = 38 in
Area of ring : Area of larger circle - Area of smaller circle
[tex]\qquad❖ \: \sf \:\pi {(38)}^{2} - \pi {(25)}^{2} [/tex]
[tex]\qquad❖ \: \sf \:\pi( {38}^{2} - 25 {}^{2} )[/tex]
[tex]\qquad❖ \: \sf \:3.14(1444 - 625)[/tex]
[tex]\qquad❖ \: \sf \:3.14(819)[/tex]
[tex]\qquad❖ \: \sf \:2571.66 \: \: in {}^{2} [/tex]
[tex] \qquad \large \sf {Conclusion} : [/tex]
Area = 2571.66 in²Aria makes 12 dollars for each hour of work. Write an equation to represent her total pay, p, after working h hours.
Answer:
12×h=p
Step-by-step explanation:
if she works for 12 dollars per hour you multiply the 12 dollars buy the hours she worked to get the p
At the city museum, child admission is $6.20 and adult admission is $9.40. On Thursday, 163 tickets were sold for a total sales of $1221.80. How many adult
tickets were sold that day?
To form a system of equation from a word problem, we must recognize different variables to form different equations.
Solving the QuestionLet a represent the number of child tickets.
Let b represent the number of adult tickets.
We're given:
1a = $6.201b = $9.40a and b in total is 163Total sales = $1221.80Because we're given that a and b in total is 163, we can form the following equation:
[tex]a+b=163[/tex]
We're also given that the total sales made is $1221.80. Because we know that 1a = $6.20 and 1b = $9.40, we can also form the following equation:
[tex]6.2a+9.4b=1221.8[/tex]
Here are our two equations:
[tex]a+b=163[/tex]
[tex]6.2a+9.4b=1221.8[/tex]
Solving the System of EquationsWe can solve using the method of elimination. Multiply both sides by 6.2 in the first equation:
[tex]6.2(a+b)=6.2(163)\\6.2a+6.2b=1010.6[/tex]
Subtract this new equation from the second equation to cancel out a:
[tex]\hspace{10}6.2a+9.4b=1221.8\\- 6.2a+6.2b=1010.6\\\rule{100}{0.5}\\3.2b=211.2[/tex]
Solve for b:
[tex]b=66[/tex]
Therefore, the number of adult tickets sold is 66.
Answer66
help!! what do i do?!?
PLEASE HELP IM STUCK
Answer:
y = -3x + 1
Step-by-step explanation:
First, we can find the slope of the line.
The slope is (change in y)/(change in x).
We can use the points that are marked in orange: (0,1) and (1,-2)
The change in y is 1 to -2, which is -3.
The change in x is 0 to 2, which is 1.
The slope will be -3/1, which is also: -3.
We have y = -3x + b currently.
The b is the y-intercept, meaning (the point that touches the y axis, the vertical line).
The point (0,1) touches the y-intercept, so b will be 1.
We can finish our equation as: y = -3x + 1
determine the rate of change for the right side of…
Answer:
Decreasing at an increasing rate
Step-by-step explanation:
graph looks like an arch
right side is going down
right side is going down as x increases
The simple interest on certain principal is 1/2 of the amount in 5years. find the rate of interest
Answer:
10
Step-by-step explanation:
math help please right now!!!!
Answer:
The second answer is correct.
Step-by-step explanation:
1a, b/46 = 50/23 1b. 34/d = 68/44
Answer:
1a. 100, 1b. 22
Step-by-step explanation:
1a. Given information from the question:
[tex] \frac{b}{46} = \frac{50}{23} \\ 23b = (50)(46) \: (cross \: multiply) \\ b = \frac{50 \times 46}{23} \\ = 50 \times 2 \\ = 100[/tex]
1b. Given information from the question:
[tex] \frac{34}{d} = \frac{68}{44} \\ 68d = (34)(44) \: (cross \: multiply)\\ \\ d = \frac{34 \times 44}{68} \\ d = \frac{44}{2} \\ = 22[/tex]
Answer:
• [tex]b = \bf 100[/tex]
• [tex]d = \bf 22[/tex]
Step-by-step explanation:
To solve these questions, we need to rearrange the equations to make the unknown variables the subject of the equations.
1a.
[tex]\frac{b}{46} = \frac{50}{23}[/tex]
⇒ [tex]b = \frac{50 \times 46}{23}[/tex] [multiplying both sides by 46]
⇒ [tex]b = \bf 100[/tex]
1b.
[tex]\frac{34}{d} = \frac{68}{44}[/tex]
⇒ [tex]34 = \frac{68 \times d}{44}[/tex] [multiplying both sides by d]
⇒ [tex]34 \times 44 = 68 \times d[/tex] [multiplying both sides by 44]
⇒ [tex]\frac {34 \times 44}{68} = d[/tex] [dividing both sides by 68]
⇒ [tex]d = \bf 22[/tex]
Question is in image below:
The sinusoidal equation will be Y=4.25 sin[(π/26)(t-11)]+12.25
How to compute the equation?The following can be deduced:
Function Y=Asin(wt-Φ)+β
Amplitude A=(16.5-8)/2=4.25 hours
Vertical shift β= (16.5+8)/2=12.25
Period is 52 weeks, thus 52=2π/ω→ω=2π/52=π/26
The phase shift Φ can be gotten if we divide the whole year in 4 sub-intervals each interval would be :
[0,13], [13,26],[26,39],[39,52]
The summer solstice occurs at the end of week 24.
The winter solstice occurs at the end of week 51.
The maximum of sine function happens at the end of the first sub-interval [0,13]
Here, Φ is 11, thus, the function would be
Y=4.25 sin[(π/26)(t-11)]+12.25.
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3
Anastacio distributed 4 4/5 kg of seed among several bird feeders. He put = 3/5 kg of seed in each
feeder. Let f represent the number of bird feeders that Anastacio filled.
Select 1 multiplication and 1 division equation to represent the relationship.
Choose 2 answers:
ƒx3/5=4 4/5
fx 4 4/5=3/5
3/5 divided 4 4/5=f
4 4/5 divided 3/5 =f
The equations to represent the relationship are ƒx3/5=4 4/5 and 4 4/5 divided 3/5 =f
Ratio and proportionFractions are written as a ratio of two integers. For instance a/b is a fraction.
If Anastacio distributed 4 4/5 kg of seed among several bird feeders and put 3/5 kg of seed in each feeder, the expression that represents the number of bird feeders that Anastacio filled is given as;
Number of bird feeder = 4 4/5 ÷ 3/5
f = 4 4/5 ÷ 3/5
Multiply both sides by
f * 3/5 = 4 4/5 ÷ 3/5 * 3/5
f * 3/5 = 4 4/5
Hence the equations to represent the relationship are ƒx3/5=4 4/5 and 4 4/5 divided 3/5 =f
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Find the measure of arc IK if theta equals 58°
Check the picture below.
Simplify the expression below.
2^3 x 2^2
A.46
B. 45
C. 25
D. 26
Answer: 32 is the answer to the expression you provided.
Step-by-step explanation:
[tex]2^3\times2^2\\2\times2\times2\times2\times2\\4\times4\times2\\16\times2\\\rightarrow32[/tex]
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{E}\textsf{quation:}[/tex]
[tex]\mathsf{2^3 \times 2^2}[/tex]
[tex]\huge\boxed{S}\textsf{olving:}[/tex]
[tex]\mathsf{2^3 \times 2^2}[/tex]
[tex]\mathsf{= 2\times2\times2 \times2\times2}[/tex]
[tex]\mathsf{= 4\times4\times2}[/tex]
[tex]\mathsf{= 16\times2}[/tex]
[tex]\mathsf{= 32}[/tex]
[tex]\huge\boxed{T}\textsf{herefore, your answer should be:}[/tex]
[tex]\huge\boxed{\frak{32}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
To conserve water, many communities have developed water restrictions. The water utility charges a fee of $38, plus an additional $1.28 per hundred cubic feet (HCF) of water. The recommended monthly bill for a household is between $57 and $87 dollars per month. If x represents the water usage in HCF in a household, write a compound inequality to represent the scenario and then determine the recommended range of water consumption. (Round your answer to one decimal place.)
A) 057 ≤1.28x-38 s 87; To stay within the range, the usage should be between 44.5 and 97.7 HCF.
B) 57 s 1.28x - 38 s 87; To stay within the range, the usage should be between 74.2 and 97.7 HCF.
C) 57 ≤ 1.28x + 38 ≤ 87; To stay within the range, the usage should be between 14.8 and 38.3 HCF.
D)57 s 1.28x+38 ≤ 87; To stay within the range, the usage should be between 14.8 and 67.9 HCF.
Using a linear function, the correct option regarding the situation is given by:
C) 57 ≤ 1.28x + 38 ≤ 87; To stay within the range, the usage should be between 14.8 and 38.3 HCF.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The bill is modeled by a linear function, with an intercept of $38 and a slope of $1.28, hence it is given by:
C(x) = 1.28x + 38
The bill should be between $57 and $87 dollars per month, hence:
57 <= C(x) <= 87.
The values of x are:
C(x) >= 57
1.28x + 38 >= 57
x >= 19/1.28
x >= 14.8.
C(x) >= 87
1.28x + 38 >= 87
x >= 49/1.28
x >= 38.3.
Hence option C is correct.
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A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times?
The required probability of the coin landing tails up at least two times is 15/16.
Given that,
A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times is to be determined.
What is probability?
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
In the given question,
let's approach inverse operation,
The probability of all tails = 1 / 2^7 because there is only one way to flip these coins and get no heads.
The probability of getting 1 head = 7 /2^7
Adding both the probability = 8 / 2^7
Probability of the coin landing tails up at least two times = 1 - 8/2^7
= 1 - 8 / 128
= 120 / 128
= 15 / 16
Thus, the required probability of the coin landing tails up at least two times is 15/16.
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Nick wrote the function p(x) = 17 + 42x – 7x2 in vertex form. His work is below.
p(x) = –7x2 + 42x + 17
p(x) = –7(x2 – 6x) + 17
(StartFraction negative 6 Over 2 EndFraction) squared = 9; p(x) = –7(x2 – 6x + 9) + 17
p(x) = –7(x – 3)2 + 17
When Nick checked his work it did not match the standard form function. Analyze Nick’s work. What was his mistake?
In step 1, he did not put the function in standard form correctly.
In step 2, he should have also factored –7 from the constant term, 17.
In step 3, he did not subtract –7(9) to keep the function equivalent.
In step 4, he did not write the perfect square trinomial correctly as a binomial squared.
Answer:
step 3
Step-by-step explanation:
he should have subtracted 9 to the outside.
whatever you do to the inside you must do to the opposite to the outside
so your final form must be -7(x-3)^2 + 8