Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Liam bought 2 hamburgers and 4 orders of fries for $13. How much would an order of 1 hamburger and 2 orders of fries cost?
The cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.
What is system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Let the cost of 1 hamburger is x dollar and 2 orders of fries is y dollars. Nathaniel bought 3 hamburgers and 2 orders of fries for $12.50. Thus,
[tex]3x+2y=12.5[/tex]
Solve this equation as,
[tex]2y=12.5-3x\\y=\dfrac{12.5-3x}{2}[/tex] .....1
Liam bought 2 hamburgers and 4 orders of fries for $13. Thus,
[tex]2x+4y=13[/tex]
Put the value of y in this equation and solve it further,
[tex]2x+4(\dfrac{12.5-3x}{2})=13\\2x+25-6x=13\\-4x=13-25\\-4x=12\\x=\dfrac{12}{4}\\x=3[/tex]
Put this value of x in equation 1,
[tex]y=\dfrac{12.5-3\times3}{2}\\y=\dfrac{3.5}{2}\\y=1.75[/tex]
The cost of an order of 1 hamburger and 2 orders of fries is,
[tex]C=3\times 1+2\times1.75\\C=3+3.5\\C=6.5[/tex]
Thus, the cost of an order of 1 hamburger and 2 orders of fries cost which Nathaniel and Liam bought is $6.5.
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Let (20, 48) be a point on the terminal side of an angle ϴ in standard position. Evaluate the six trigonometric functions of ϴ .
The six trigonometric functions related to (x, y) = (20, 48): sin θ = 12/13, cos θ = 5/13, tan θ = 12/5, cot θ = 5/12, sec θ = 13/5, csc θ = 13/12.
How to determine the six trigonometric functions from coordinates in rectangular form
Given the coordinates in rectangular form, that is, (x, y), where each component belongs to an orthogonal axis of reference. By trigonometry we have six functions to be calculated:
[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
[tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex] (3)
[tex]\cot \theta = \frac{1}{\tan \theta}[/tex] (4)
[tex]\sec \theta = \frac{1}{\cos \theta}[/tex] (5)
[tex]\csc \theta = \frac{1}{\sin \theta}[/tex] (6)
If we know that x = 20 and y = 48, then the six trigonometric functions are, respectively:
[tex]\sin \theta = \frac{48}{\sqrt{20^{2}+48^{2}}}[/tex]
[tex]\sin \theta = \frac{12}{13}[/tex]
[tex]\cos \theta = \frac{20}{\sqrt{20^{2}+48^{2}}}[/tex]
[tex]\cos \theta = \frac{5}{13}[/tex]
[tex]\tan \theta = \frac{12}{5}[/tex]
[tex]\cot \theta = \frac{5}{12}[/tex]
[tex]\sec \theta = \frac{13}{5}[/tex]
[tex]\csc \theta = \frac{13}{12}[/tex]
The six trigonometric functions related to (x, y) = (20, 48): sin θ = 12/13, cos θ = 5/13, tan θ = 12/5, cot θ = 5/12, sec θ = 13/5, csc θ = 13/12. [tex]\blacksquare[/tex]
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Find the surface area of the cylinder
I need help with this
Answer:
B would be my best answer, not sure tho
A pizza shop has available toppings of anchovies, bacon, mushrooms, onions, sausage and olives. How many different ways can a pizza be made with 3 toppings?
There are 56 different ways of making pizza with 3 toppings.
8 pizzas will made with 3 different toppings
Paloma eats 2 /8 of an apple in the morning and 3/ 8 more in the afternoon. How much of the apple did she eat in total?
Answer:
5/8
Step-by-step explanation:
2/8 + 3/8 is 5/8
Answer:
5/8
Step-by-step explanation:
With like denominators we can operate on just the numerators:
[tex]\frac{2+3}{9}[/tex]
=[tex]\frac{5}{8}[/tex]
is there any bias in the following survey question explain. So you prefer delicious chocolate ice cream or boring ice cream?
Answer:
yes, contains bias
Step-by-step explanation:
surveyor included their own opinions on chocolate ice cream being delicious and vanilla ice cream being boring.
solve for x - 10 = x-7/3
Answer:
no solution
Step-by-step explanation:
x - 10 = x - 7/3
cancel the terms on both sides
-10 = -7/3
statement is false
no solution
please help me
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
What is the probability of getting exactly one head?
Enter your answer as a reduced fraction, like this: 3/14
Answer:
3/8
Step-by-step explanation:
HHT,THH, and TTH are the 3 outcomes with 1 head out of 8 total outcomes
Which function has the greatest maximum y-value?
A) f(x)
B) g(x)
C) h(x)
D) AIl three functions have the same maximum y-value.
Answer:
g(x)
Step-by-step explanation:
y-intersect for h(x) is -11 as shown in the table, where the x value is 0
y-intersect for f(x) you find out by subbing 0 in the place of x and get the y intersect value of 2.99
y-intersect of g(x) is 3 as shown in the drawing
as seen across the three y-intersects, the value of g(x) y-intesect is the greatest
Determine the next step for solving the quadratic equation by completing the square.
0 = –2x2 + 2x + 3
–3 = –2x2 + 2x
–3 = –2(x2 – x)
–3 +
= –2(x2 – x + )
StartFraction negative 7 Over 2 EndFraction = –2(x – StartFraction 1 Over 2 EndFraction)2
StartFraction 7 Over 4 EndFraction = (x – StartFraction 1 Over 2 EndFraction)2
The two solutions are
Plus or minus StartFraction StartRoot 7 EndRoot Over 2 EndFraction.
[tex]\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2[/tex]
the idea behind the completion of the square is simply using a perfect square trinomial, hmmm usually we do that by using our very good friend Mr Zero, 0.
if we look at the 2nd step, we have a group as x² - x, hmmm so we need a third element, which will be squared.
keeping in mind that the middle term of the perfect square trinomial is simply the product of the roots of "a" and "b", so in this case the middle term is "-x", and the 1st term is x², so we can say that
[tex]\stackrel{middle~term}{2(\sqrt{x^2})(\sqrt{b^2})~}~ = ~~\stackrel{middle~term}{-x}\implies 2xb~~ = ~~~~ = ~~-x \\\\\\ b=\cfrac{-x}{2x} \implies b=-\cfrac{1}{2}[/tex]
so that means that our missing third term for a perfect square trinomial is simply 1/2, now we'll go to our good friend Mr Zero, if we add (1/2)², we have to also subtract (1/2)², because all we're really doing is borrowing from Zero, so we'll be including then +(1/2)² and -(1/2)², keeping in mind that 1/4 - 1/4 = 0, so let's do that.
[tex]-3~~ = ~~-2\left[ x^2-x+\left( \cfrac{1}{2} \right)^2 ~~ - ~~\left( \cfrac{1}{2} \right)^2\right]\implies -3=-2\left(x^2-x+\cfrac{1}{4}-\cfrac{1}{4} \right) \\\\\\ -3=-2\left(x^2-x+\cfrac{1}{4} \right)+(-2)-\cfrac{1}{4}\implies -3=-2\left(x^2-x+\cfrac{1}{4} \right)+\cfrac{1}{2} \\\\\\ -3-\cfrac{1}{2}=-2\left(x^2-x+\cfrac{1}{4} \right)\implies -\cfrac{7}{2}=-2\left(x-\cfrac{1}{2} \right)^2\implies \cfrac{7}{4}=\left(x-\cfrac{1}{2} \right)^2[/tex]
[tex]~\dotfill\\\\ \pm\sqrt{\cfrac{7}{4}}=x-\cfrac{1}{2}\implies \cfrac{\pm\sqrt{7}}{2}=x-\cfrac{1}{2}\implies \cfrac{\pm\sqrt{7}}{2}+\cfrac{1}{2}=x \implies \cfrac{\pm\sqrt{7}+1}{2}=x[/tex]
Answer:
see picture
Step-by-step explanation:
-1/2
1/4
1/2
HELP PLS I NEED THIS ASAP WOULD GIVE 15 PTS AS LONG AS YALL HELP
Answer:
10
Step-by-step explanation:
This is just a prediction but given that it lands on blue more times than any other color i would say 10 out of 16
I NEED HELP QUICK!!!!
Answer:
45 miles
Step-by-step explanation:
Giving Information.
From Northville To Newberry is 18 inches.
2 in -> 5 miles
The inches cancel each other out leaving it miles.
[tex]18 inches*\frac{5 miles}{2 inches} = 45 miles[/tex]
Answer: 45 miles.
Step-by-step explanation: 2 in -> 5 miles, 18 inches.
Find the probability that x > 5
Answer:
The probability of x ≥ 5 is.05Step-by-step explanation:
Have a great day✧◝(⁰▿⁰)◜✧The test scores for the Chapter 5 test in Algebra I were:
75.95.90.95,60,95,75,95,90.
Question:
a. Find the mean, median, mode, and range of the data.
b. Which measure best describes the set of data? Why?
c. If test scores of 65 and 75 were added to the set, what would happen to the mean?
es )))
Answer Question 1: Mean literal number 85.55556 Not sure if there allowing you to round to the nearest tenth of digit
Median 90
Mode 95
Range 35
Question 2: Median is the best way because it gives you the overall average of a set of numbers.
Question 3: The mean would change because if you are adding new numbers you have to recount the mean meaning there is now a new average.
What is the answer to −(3x−9)
while waiting for a video game to download, you notice that 30\%kilobytes have been downloaded so far.
How many kilobytes have been downloaded so far?
Step-by-step explanation:
30/100*32000=
960,000/100
=9,600 kilobytes.
f(x) = -7x - 19
g(x) = 0.75x + 4.25
x=
Answer:x=-14.75
Step-by-step explanation:
f(x) = -7x - 19=-19
g(x) = 0.75x + 4.25 =4.25
Shanovia drew a card from a standard deck of 52 playing cards. What is the probability Shanovia drew 1 of
the 4 aces?
Answer:
1/13
Step-by-step explanation:
There are 4 aces in the 52-card deck so prob = 4/52 = 1/13
PLEASE FAST!!!! WILL GIVE BRAINLIEST!!!
Answer:
its B , 4 11/20
Step-by-step explanation:
Answer:
The 2nd Answer Choice
Step-by-step explanation:
You make sure that the fractions have the same denominator, and then you subtract them.
A die was rolled 40 times. The results of each roll is given in the table below. If the die is rolled
once more, find the experimental and theoretical probability for each result.
The experimental and theoretical probability for each result are:
Theoretical Experimental
P(5) 1/6 7/40
P( 1 or 6) 1/3 7/20
P(no more than 4) 2/3 21/40
P(greater than 2) 2/3 7/10
What is the probability?Probability determines the chances that an event would happen. Experimental probability is the probability of an event happening based on the result of an experiment that has been carried out multiples time.
Theoretical probabilities:
P(5) = number of sides with 5 / total number of sides = 1/6
P( 1 or 6) = number of sides with 1 / total number of sides + number of sides with 6 / total number of sides = 1/6 + 1/6 = 1/3
P(no more than 4) = number of sides that is no more than 4 / total number of sides = 4/6 = 2/3
P(greater than 2) = number of sides greater tha 2 / total number of sides = 4/6 = 2/3
Experimental probabilities:
P(5) = number of times there was a result of 5 / total number of times the die was rolled = 7/40
P( 1 or 6) = (number of times there was a result of 1 / total number of times the die was rolled) + (number of times there was a result of 6 / total number of times the die was rolled )
2/40 + 12/40 = 14/40 = 7/20
P(no more than 4) = sum of results no more than 4 / total number of times the die was rolled = ( 2 + 10 + 5 + 4) = 21/40
P(greater than 2) = sum of results greater than 2 / total number of times the die was rolled = (7 + 12 +5 + 4) / 40 = 28/40 = 14/20
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¿Cual es la medida de < X?
Answer:
49°
Step-by-step explanation:
∠XOZ = 90°
∠XOV = 41°
90 - 41 = x°
49 = x°
A group of friends were working on a student film that had a budget of $1500. They
used $780 of their budget on costumes. What percentage of their total budget did
they spend on costumes?
Answer: 52 %
Step-by-step explanation: 780/1500 × 1100/1
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
780/1500 x 100 = 52%
The percentage of the amount spent on customs is 52%
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Total budget = $1500
Amount spend on costumes = $780
The percentage of the amount spend on customs.
= 780/1500 x 100
= 52%
Thus,
The percentage of the amount spent on customs is 52%
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The table below represents the metric volume measure of a liter with each amount represented as a power of 10. a 2-column table with 5 rows. column 1 is labeled unit with entries centiliter, liter, hectoliter, kiloliter, megaliter. column 2 is labeled power of 10 with entries 10 superscript negative 2, 10 superscript 0, 10 squared, 10 cubed, 10 superscript 6. the work shows that a megaliter is 10,000 times larger than a hectoliter. 106 102 = 104 = 10,000 the of the original exponent is the exponent in the power of quotient. the kiloliter is 103 times greater than a . the hectoliter is times greater than centiliter.
A megaliter is 10,000 times larger than a hectoliter.
The kiloliter is 10^3 times greater than a liter while the hectoliter is 10^4 times greater than the centiliter.
What is an equation?An equation is an expression that shows the relationship between two or more variables.
1 mega liter = 10^6 Liter
1 hectoliter = 10^2 Liter.
Hence, a megaliter is 10,000 (10^6/10^2) times larger than a hectoliter
The kiloliter is 10^3 times greater than a liter while the hectoliter is 10^4 times greater than the centiliter.
Uncle Reynald's age is given by the expression 3(12 + 5) - 4.
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Answer:
the first one is diffrence
2nd one is liter
3rd one 10,000
Step-by-step explanation:
What is the slope below?
Answer:
8/1
Step-by-step explanation:
To find slope you would do:
rise/run
Up and down is the rise
Left and right is the run
In your problem it goes up 8 and right 1
Below is the graph of equation y=|x+2|-1. Use this graph to find all values of x for the given values of y. y>0
For the given absolute value function, we have that:
y > 0 in the intervals (-∞, -3) and (-1, ∞)
y < 0 in the interval (-3, -1)
y = 0 for x = -3 and x = -1.
When the function is positive?
The function is positive when the graph is above the horizontal axis.
Here, we can see that the intervals where the graph is above the horizontal axis is are (-∞, -3) and (-1, ∞)
When the function is negative?
The function is negative when the graph is below the horizontal axis. In this case, we can see that the only negative interval is (-3, -1)
When the function is zero?
The function is equal to zero when it intercepts the x-axis, in this case, the function is zero for x = -3 and x = -1
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Hugo received $100 dollars for
birthday which he uses to make an initial deposit in
a saving account. He gets an allowance of $20 per week which he deposits in his savin
account. Write an equation to represent the balance of his saving account over time.
Which amount represents the slope?
Which amount represents the y-intercept?
The equation would be written as:
y=
vx+
The x in this equation represents:
The y in this equation represents
Answer:
i believe its 100*20x
Step-by-step explanation:
please no h8 i tried
If a parallelogram has dimensions of 44 cm and 66 cm, what is the perimeter in millimeters?
perimeter of paralleogram(p) = 2 ( a + b ) = 2 ( 44 + 66) = 2 × 110 = 220 cm = 220 × 10 = 2200 millimeter
PLEASE HELP ASAP!!!!!!!!
Answer:
The answer is 6 rides that cost $26.
Step-by-step explanation:
Plan A: $20 plus $1 per ride.
Plan B: $8 plus $3 per ride.
Turn that into a linear equation to graph.
Plan A: [tex]y=1x + 20[/tex]
Plan B: [tex]y=3x + 8[/tex]
The x-axis is rides and the y-axis is $.
On the graph appears that it takes 6 rides for Plan A and B to be the same a cost of $26.
-11x - 72 = 84 + x
And I also need to do the check part
Answer:
Step-by-step explanation:
-11x - 72 = 84 + x
combine like terms on opposite side of =
(-11x )+ (-1x) = (84) + (72)
-12x = 156
divide both sides by -12 to isolate x
-12/-12 = 156/-12
x = -13
insert (-13) for x
(-11 * -13) -72 = 84 + (-13)
71 = 71
equality means its right