Answer:
Hamburger = $2.5
Fries = $0.80
Step-by-step explanation:
set up a system of equations
y = total cost
x = number of hamburgers
y = number of fries
[tex]24=8x+5y\\16.60=6x+2y[/tex]
find a LCF and multiply the equations. I'll be using the LCF of 5 & 2, which is 10 for y. so I will mulitilpy the first equation by 2 to get 10y and then the second by NEGATIVE 5 (-5) so when I combine both equations the y will cancle out because I'll get -10. Doing this, you should end up with this:
[tex]48=16x+10y\\-83=-30x-10y[/tex]
when you have this combine the equations to get
[tex]-35=-14x[/tex]
then divide both sides by -14 to get
[tex]2.5=x[/tex] this is the cost of one hamburger
then you plug in x into one of the original equations (I'll use the first equation)
[tex]24=8(2.5)+5y[/tex]
then solve for y to get
[tex]0.80=y[/tex] this is the cost for fry
if you plug in both the value for x and y into the original equations (like so)
[tex]24=8(2.5)+5(0.8)\\16.60=6(2.5)+2(0.8)[/tex]
you'll see that they are true (they equal one another)
this means that the cost of a hamburger is $2.50 and the cost of fries is $0.80
The cost of each hamburger is $2.50, and the cost of each serving of fries is $0.80.
Let's use a system of equations to solve this problem. Let h represent the cost of a hamburger and f represent the cost of a serving of fries.
From the information given, we can create two equations:
8h + 5f = 24
6h + 2f = 16.60
Now, we can solve this system of equations. We can start by solving one of the equations for one of the variables and then substituting it into the other equation. Let's solve equation 1 for h:
8h = 24 - 5f
h = (24 - 5f)/8
Now, substitute this expression for h into equation 2:
6[(24 - 5f)/8] + 2f = 16.60
Now, we can simplify and solve for f:
(3/4)(24 - 5f) + 2f = 16.60
Multiply both sides by 4 to eliminate the fraction:
3(24 - 5f) + 8f = 66.40
Now, distribute the 3 on the left side:
72 - 15f + 8f = 66.40
Combine like terms:
-7f = 66.40 - 72
-7f = -5.60
Now, divide by -7 to solve for f:
f = -5.60 / -7
f = $0.80
Now that we've found the cost of a serving of fries (f), we can use this value to find the cost of a hamburger (h) using equation 1:
8h + 5(0.80) = 24
8h + 4 = 24
8h = 24 - 4
8h = 20
h = 20 / 8
h = $2.50
So, the cost of each hamburger is $2.50, and the cost of each serving of fries is $0.80.
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A customer at the mall is shopping for holiday gifts, and is considering having them wrapped. He can get them wrapped at the department store, which charges $2 per gift. Alternatively, the customer can pay his niece a flat fee of $50 to wrap all of his gifts. If he has a certain number of small packages, it would cost the same amount either way. How many small gifts would that include?
Final answer:
The customer would need to have 25 small gifts to wrap in order for the costs to be the same, whether using the department store's service at $2 per gift or paying his niece the $50 flat fee.
Explanation:
To determine how many small gifts need to be wrapped to make the cost the same whether paying his niece the flat fee of $50 or paying the department store $2 per gift, we can set up a simple equation:
Let x represent the number of small gifts.
Then, the cost of wrapping at the department store is $2 per gift, which means the cost is 2x dollars.
The niece's flat fee is $50, regardless of the number of gifts.
The equation to find the breakeven point where both options cost the same is:
2x = 50
Solving for x gives us:
x = 50 / 2
x = 25 gifts
Thus, if the customer has 25 small gifts to wrap, it would cost the same to have them wrapped by his niece at a flat rate or by the department store per gift.
What are the solutions to the equation 3(x - 4)(x + 5) = 0?
O
O
O
x= 4 or x = 5
x= 3, x = 4, or x = -5
x= 3, x= -4, or x = 5
x = 4 or x = -5
Answer:
Step-by-step explanation:
3(x - 4)(x + 5) = 0
Dividing through by 3
(x - 4)(x + 5) = 0
(x - 4) = 0 or x + 5 = 0
x - 4 = 0 or x + 5 = 0
x = 4 or x = - 5
How many ice creams can be made with Three ice cream flavors three syrup flavors at three types
An experiment consists of flipping a single coin followed by rolling a six-sided cube (a die).
What is the probability of getting a head followed by a 6?
[tex]\frac{?}{?}[/tex]
Answer:[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
Okay, first, you want to find the probability of getting a head, which would be 1/2 because there are two options and we are only looking for one out of the two. Then, the probability of getting a 6 would be 1/6 because there is only one chance of getting a 6 and there are 6 options. Next, you would have to multiply both quantities to find out what the probability would be of getting both. So it would be [tex]\frac{1}{2}[/tex] ×[tex]\frac{1}{6}[/tex]=[tex]\frac{1}{12}[/tex]
Probability of getting a head followed by a 6 is 1/12
Step-by-step explanation:
There are 2 possible outcomes of tossing a coin a head and a tail.
The probability is 1 out of 2 each for head and tail.
Probability of getting a 6 when a dice is rolled is 1 out of 6 for each face i.e 1,2,3,4,5,6
So the probability of getting a head followed by 6 is 1/2*1/6 = 1/12
It can also be understood as below.
There can be 12 possible combinations once a coin is tossed and a die is rolled. Head-1, Head-2. Head-3, Head-4, Head-5, Head-6, Tail-1, Tail-2, Tail-3, Tail-4, Tail-5, Tail-6
In the list there is 1 outcome that we need. Head-6. This again gives us the chance of getting Head-6 as 1 out of 12.
Tiny Tim is 5 feet tall expression 0.5m + 60 can be used to calculate his height in inches if he grows an average of 0.5 inch each month. Using that expression, calculate tiny Tim’s height in 6 months.
A. 63 inches
B. 56 inches
C. 5 feet 6 inches
D. 53 inches
Answer:
The answer is A
Step-by-step explanation:
Since we are finding Tim's height in 6 months, you would have to plug the 6 into the expression.
Answer:
Step-by-step explanation: it A
0.5+6= 3
60+3= 63
Find two numbers whose sum is 9 and whose difference is -1
Answer:
4 and 5
Step-by-step explanation:
Make a system of equations:
x+y=9
x-y=-1
x=9-y
9-y-y=-1
9-2y=-1
-2y=-10
y=5
Since y=5, x must be 4 since 4+5=9 and 4-5=-1
Hope this helped!
How many thousands are in 38,000
Answer: 38
Step-by-step explanation:
Divide 38000/1000
Answer:
Step-by-step explanation: How many 10,000 are in 200,000
Samir, a carpenter Spent $300 on specialty tools to make toy horses for children for each horse he makes he spent $75 on supplies he charges $125 for each horse how many horses does Samir sell in order to break even ?
Assuming he spent $300 on specialty tools to make toy horses for children the number of horses that Samir sell in order to break even is 6 horses.
First step is to calculate his profit
Profit=$125-$75
Profit=$50
Now let determine how many horses does Samir sell in order to break even
Number of horse=$300/50
Number of horses=6 horses
Inconclusion the number of horses that Samir sell in order to break even is 6 horses.
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Answer:6
Step-by-step explanation:
(SAT Prep) Find the value of x in each of the following exercises:
JIMGRANT1 CAN YOU PLEASE DO MY OTHER QUESTION AND THIS ONE.
Answer:
X=40 degrees
Step-by-step explanation:
Having trouble with RSM?
The value of angle x will be equal to 40 degrees.
What are corresponding angles?According to the equivalent angle postulate, if a transversal meets two parallel lines, the corresponding angles must be congruent.
In other words, the corresponding angles will always be identical if a transversal intersects two parallel lines. In geometry, corresponding sides and corresponding angles of polygons are compared as part of the tests for congruence and resemblance.
In the diagram attached with the answer below apply the corresponding angle theorem to calculate the value of x.
The value of angle x by using corresponding angle theorem will be calculated as below:-
x = 180 - 65 - 75
x = 180 - 140
x = 40
Therefore, the value of angle x will be equal to 40 degrees.
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2. Janet baby-sat for 28 hours over two weeks. She earned $5.00 an hour. What was her gross
pay?
Answer:
$140
Step-by-step explanation:
Answer:
$140.00
Step-by-step explanation:
Gross pay is the pay before any deductions by taxes or other reason.
Simply multiply the five dollars by twenty-eight hours.
When Jared found 1/5 +2/5,he wrote the sum 3/10 is Jared correct
Answer:
Step-by-step explanation:
no, he is not. He literally added the numerators and the denominators. When ur adding fractions with the same denominator, u just add the numerators and keep the same denominator.
1/5 + 2/5 = 3/5
Answer:
No, because 1/5+2/5=3/5. 3/5 is also equivalent to 6/10, not 3/10.
Which of the following points is NOT a solution to the inequality: y ≥ 2x − 10?
(5,0)
(-1,1)
(4,2)
(6, -2)
Q(9,10) . R(-5,2) . S(-8,-2) . T (-1,2) . Parallel or Perpendicular
Answer:
Perpendicular
Step-by-step explanation:
Put all the points on a graph.
Parallel means that the lines that have the same slope and different y-intercepts. Lines that are parallel to each other will never intersect.
On the graph we made we can see that the lines will have to intersect because the points are in positions that no matter which points we chose to connect together, they would intersect with the other line.
5(6x - 1) - 10x + 5 = 4(x + 10) - 4x
Answer:
x=2
Step-by-step explanation:
5(6x-1)-10x+5=4(x+10)-4x
simplify both sides
30x-5-10x+5=4x+40-4x
Simplify even further
20x=40
x=2
A coffee shop offers 2 types of coffee: regular and decaffeinated; 3 types
of flavoring: vanilla, hazelnut, and caramel; and 2 choices of topping: with
or without whipped cream. How many possible choices are there?
12 choices
16 choices
14 choices
18 choices
Answer:
12 choices
Step-by-step explanation:
2*3 = 6
6*2= 12
You would have to multiply the numbers to see the number of choices.
There are 12 different choices for coffee in the shop.
How many choices are there?
First, we need to find the selections, these are:
Type of coffee.Type of flavoring.Topping.Now we need to find the number of options for each selection:
Type of coffee: (2 options)Type of flavoring: (3 options)Topping: (2 options).The total number of combinations is the product between the numbers of options:
C = 2*3*2 = 12
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What equation can be used to find how many fluid ounces are in 4 cups.
There are 32 fluid ounces in 4 cups
Explanation:In order to solve this problem, you need to know some facts:
[tex]1oz=0.125cups \\ \\ 1cup=8oz[/tex]
By knowing this, we can easily solve this problem by proportion:
[tex]Let: \\ \\ x:Fluid \ ounces \\ \\ \frac{x}{4}=\frac{1}{0.125} \\ \\ x=\frac{4}{0.125} \\ \\ x=32[/tex]
So there are 32 fluid ounces in 4 cups
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what is 2x cubed plus 2x squared simplified too
Answer:
4x^4
Step-by-step explanation:
Cubed and squared are the same thing
BRAINLESS PLS
Julie is 6 feet tall. If she stands 15 feet from the flagpole and holds a cardboard square, the edges of the square line up with the top and bottom of the flagpole. Approximate the height of the flagpole
Answer:
43.5 ft
Step-by-step explanation:
Given: Julie is 6 feet tall
She stands 15 feet from the flagpole.
The edges of the square line up with the top and bottom of the flagpole.
Picture drawn to show side and angle formed by Julie and flagpole.
Lets assume the height of flagpole be "h".
As given, the edges of the square line up with the top and bottom of the flagpole.
∴ Angle and base of triangle are same then ratio of corresponding sides are also equal.
Now, finding the height of flagpole by using tangent rule.
we know, [tex]tan\theta= \frac{Opposite}{adjacent}[/tex]
Remember, both the angle are equal.
∴ Ratio of opposite and adjacent leg for both right angle triangle= [tex]\frac{6}{15} : \frac{h-6}{15}[/tex]
We can put it; [tex]\frac{6}{15} = \frac{15}{h-6}[/tex]
Solving the equation now
⇒ [tex]\frac{6}{15} = \frac{15}{h-6}[/tex]
Multiplying both side by 15
⇒[tex]6 = \frac{15\times 15}{h-6}[/tex]
Multiplying both side by (h-6)
⇒ [tex]6\times (h-6) = 15\times 15[/tex]
Distributive property of multiplication
⇒ [tex]6h-36= 225[/tex]
Adding both side by 36
⇒[tex]6h= 225+36[/tex]
Dividing both side by 6
⇒[tex]h= \frac{261}{6}[/tex]
∴ [tex]h= 43.5\ feet[/tex]
Hence, the height of flagpole is 43.5 feet.
The height of the flagpole is given by the length of the hypotenuse side
formed by the right triangle Julie forms with the cardboard.
Response:
Height of the flagpole is 17.4 feetWhich method is used to calculate the height of the flagpole?The triangle formed by the edges of square lined up with the top and
bottom of the flagpole is a right triangle.
The altitude of the right triangle formed with the height of the flagpole as the base = 15 feet
Length of a leg of the right triangle = √(15² + 6²) = 3·√(29)
The other angle formed by the right triangle = (90° - arctan(15/6))
h × sin(arctan(15/6)) = 3·√29
[tex]h = \mathbf{\dfrac{3 \cdot \sqrt{29} }{sin(arctan(15/6))} } = 17.4[/tex]
Height of the flagpole, h = 17.4 feet
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Solve using touch points: 620+207=
Answer:827
Step-by-step explanation:
Add 620 plus 207
Jackie practices her piano for 1/2 an hour on Monday Wednesday and Friday she practices for 2/3 of an hour on Tuesday Thursday Saturday she practices for 1 hour on Sunday how many hours does Jackie practice her piano each week
Answer:
4 and a half hours
Step-by-step explanation:
half an hour ((60 x 1) / 2) for 3 of the days (30 x 3) is 90 so 1 and a half hours. then, 2/3's of an hour ((60 x 2) / 3) for 3 days (40 x 3) is 120 so 2 hours. then, adding the last hour 1.5 + 2 + 1 is 4.5 or 4 and a half hours.
If a=2b^3 and b= -1/2c ^-2,express a in terms of c.
Answer:
Part 1) [tex]a=-\frac{1}{4c^6}[/tex]
Part 2) [tex]a=-\frac{1}{4c^{-6}}[/tex]
Step-by-step explanation:
Part 1) we have
[tex]a=2b^{3}[/tex] ----> equation A
[tex]b=-\frac{1}{2}c^{-2}[/tex] ----> equation B
substitute equation B in equation A
[tex]a=2(-\frac{1}{2}c^{-2})^{3}[/tex]
Applying property of exponents
[tex](x^{m})^{n}=x^{m*n}[/tex]
[tex]x^{-m} =\frac{1}{x^{m}}[/tex]
[tex]a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}[/tex]
therefore
[tex]a=-\frac{1}{4c^6}[/tex]
Part 2) we have
[tex]a=2b^{3}[/tex] ----> equation A
[tex]b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2}[/tex] ----> equation B
substitute equation B in equation A
[tex]a=2(-\frac{c^{2}}{2})^{3}[/tex]
Applying property of exponents
[tex](x^{m})^{n}=x^{m*n}[/tex]
[tex]x^{-m} =\frac{1}{x^{m}}[/tex]
[tex]a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})[/tex]
simplify
[tex]a=-\frac{c^{6}}{4}[/tex]
therefore
[tex]a=-\frac{1}{4c^{-6}}[/tex]
A businessman bought a fairly used radio set for 950 dollars and spent 250 dollars for repairing it before selling it for 1500 dollars. what is the percentage profit?
I believe it's a 25% profit.
950+250= 1200
1500-1200= 300
300/1200= 0.25
0.25 x 100= 25%
Answer:
I want to say 20% I could be wrong
Step-by-step explanation:
$950 + $250 = 1,200
1,200 ÷ 1500 = 0.8
0.800 > 80.0
80%
100% - 80% = 20%
Net Profit Margin = 20%
Net Profit =$300
Profit Percentage = 25%
Paul runs 4.8 km every morning. How many feet are in 4.8 km, given that 1 mile = 1.609 km and 1 mile = 5,280 feet?
1,769.90 feet
8,495.52 feet
12,437.42 feet
15,751.40 feet
plz help brainlist
Answer:
Step-by-step explanation:
1.609 km=1 mile
1 km=1/1.609 mile
[tex]4.8 km=\frac{4.8}{1.609} ~miles=\frac{4.8*5280}{1.609} \approx~15,751.40~ft[/tex]
Answer:
the answer is D 15,751.40
1 Kilometer is equal to 3,280.839895 feet which is approximately 3,281 feet.
multiply 3,281 feet by 4.8 = 15,748.8 which can be rounded to make 15,751.40.
In total making the correct answer choice D.
complete the inequality statement. 4/13. 6/13
Answer:
6/13 > 4/13
4/13 < 6/13
Step-by-step explanation:
what is 2 3/4 - 1/3
and how did you get that answer
Answer:
Step-by-step explanation:
2 3/4 = 11/4
11/4-1/3
11/4x3=33/12
1/3x4= 4/12
33-4=29
2 5/12
Want three fractions are the same2/4 4/6 5/8 3/6 2/3 6/9
Answer:
2/4 . 4/6 . 2/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
2/4=1/4
4/6=2/3
5/8
3/6
6/9=3/6
Choose the number equal to: 2/3 divided by (-3)
A) -2
B) - 2/9
C) 2/9
D) 2
Answer:
-0.22222222222
Step-by-step explanation:
Which is (B)
Miranda worked Monday at her part time job and earned $71.75 for 7 hours. How much would Miranda earn after working 15 hours?
Answer:
$153.75
Step-by-step explanation:
$71.75 / 7=$10.25
$10.25 x 15 =$153.75
Kira, Bill, and Michael served a total of 134 orders Monday at the school cafeteria. Michael served 3 times as many orders as Kira. Bill served 9 more orders that Kira. How many orders did they each serve?
Answer:
Kira served 25 orders, Bill served 34 orders and Michael served 75 orders.
Step-by-step explanation:
Let Kira served x number of orders.
So, Bill served (x + 9) orders and Michael served 3x orders.
Now, it is given that Kira, Bill, and Michael served a total of 134 orders.
So, x + (x + 9) + 3x = 134
⇒ 5x + 9 = 134
⇒ 5x = 125
⇒ x = 25
Therefore, Kira served 25 orders, Bill served (25 + 9) = 34 orders and Michael served 3 × 25 = 75 orders. (Answer)
15 POINTS!
help with this. image is attached...
Answer:
50
Step-by-step explanation:
5³ ÷ (↓13 - 8) x 2
↓5³ ÷ 5 x 2
125 ÷ 5 x 2
25 x 2
50