The Total Number of Hot Dogs sold were 240 and Cheese Burgers sold were 246
What is Linear Equation in Two Variables?
A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Solution:
Let, Number of Hot Dogs Sold = x
Number of Cheese Burgers Sold = y
According to the Question:
x + y = 486 ----------(i)
2x + 3y = 1218 ----------(ii)
Multiplying Equation (i) by 2
2x + 2y = 972 ----------(iii)
Substracting Equation (iii) from Equation (ii)
y = 246
x = 240
To learn more about Linear Equation in Two Variables from the given link'
https://brainly.com/question/24085666
#SPJ1
Mrs. Liang said that 36%of the students in her math class earned a grade of B or higher. Which ratio represents the portion of students receiving a grade of B or higher to the total number of students in the class?
Answer:
36:64
Step-by-step explanation:
its simple just divde 36
3.
Gary needs to cut a length of ribbon into 10 pieces. Each
piece must be 50cm long. What length of ribbon does he
need to buy?
Answer:
he needs 500 cm of ribbon
Step-by-step explanation:
pieces cut =10
size of pieces = 50 cm each .
50 × 10 = 500 answers
Rewrite using a single positive exponent.
6^5\6^-2
Answer:
\( \frac{ {6}^{5} }{ {6}^{ - 2} } = {6}^{5 - ( - 2))} = {6}^{5 + 2} = {6}^{7} \)
Write an inequality for the graph
The inequality that represents the line in the figure will be y > - (2/3) x + 3.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
From the figure, the points of the line are (0, 3) and (3, 1). And the region above the line is a consideration. Then the equation of the line is given as,
(y - 3) > [(3 - 1) / (0 - 3)](x - 0)
Simplify the equation, then we have
(y - 3) > [(3 - 1) / (0 - 3)](x - 0)
(y - 3) > - (2/3)x
y > - (2/3) x + 3
The disparity that addresses the line in the figure will be y > - (2/3) x + 3.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ1
What is -2.1 divided by 1.3
Answer:
-1.615 is the answer...
Step-by-step explanation:
Hope this helps....
32 rolls of tickets. Each roll of tickets has
100 tickets. How many tickets were ordered
in all?
Answer:3200 tickets were ordered in all
Step-by-step explanation:
32x100=3200 since each roll has 100 tickets and there are 32 rolls.
Answer:
3200 because 32 x 100 equals 3,200.
17. Rob purchased a boat three years ago. The boat decreased by 7% each year. Three years
later, the value of the boat was $32,174.28. Which equation initially models the value of Rob's
boat?
A. y = 40,000(0.93)*
B. y = 40,000(1.07)*
C. y = 32,174.28 (0.93)*
D. y = 32,174.28 (1.07)*
Answer:
The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.
Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:
y = 40,000(0.93)^3
where y is the value of the boat after three years, and 40,000 is the initial value of the boat.
Simplifying this equation, we get:
y = 40,000(0.7951)
y = 31,804
However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.
To find the correct equation, we can use the formula for exponential decay:
y = a(1 - r)^t
where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.
In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.
So we can set up an equation:
32,174.28 = 40,000(0.93)^3
Simplifying this equation, we get:
32,174.28 = 31,804.00
This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:
y = 40,000(0.93)^t
where t is the time in years.
Yoooooooooooooooooooooo need some help
Answer: 1
Step-by-step explanation:
Let's look at two points on this line (0, 1), and (1, 2)
Using the slope formula (\(\frac{(y_2-y_1)}{(x_2-x_1)}\))
\(\frac{(2-1)}{(1-0)} =\frac{1}{1}=1\)
Hope it helps :)
Answer:
bro be more specific plssssaass
Solve for x in the equation 3x-5=2x²
Answer:
\(3x - 5 = 2 {x}^{2} \\ = > 3x = 2 {x}^{2} + 5 \\ = > x = \frac{2 {x}^{2} + 5 }{3} \)
Find the side length of a cube with a volume of 141 f3 If necessary, round your answer to the nearest tenth.
The side length of the cube is 5.6 feet (rounded to the nearest tenth).
We can calculate the side length of a cube with a volume of 141 cubic feet using the formula for cube volume , which is \(V = s^3\), where V is the volume and s is the side length.
We can calculate s by taking the cube root of both sides of the equation:
\(s = (V)^{(1/3)\)
Substituting V = 141, we get:
\(s = (141)^{(1/3)\)
By using a calculator to evaluate this expression, we may determine:
s ≈ 5.6
As a result, the cube's side length is roughly 5.6 feet (rounded to the closest tenth). This indicates that if we increase the side length by three, it will become longer. (\(s^3\)), we will get the volume of the cube, which is 141 cubic feet.
for such more question on length
https://brainly.com/question/20339811
#SPJ11
Some of Mr. Edward's students want to buy him a gift. If each of
them pays $2, they will be short of $4 for the gift. If each of them
pays $3, there will be an extra $3. How much does the gift cost?
Lisa has 4 dogs. Each of the 4 dogs weighs an integer number of kg. No two of them weigh the same. Their total weight is 60 kg. The second heaviest dog weighs 28 kg. How heavy is the third heaviest dog?
The weight of the third heaviest among the four dogs is 2 kg.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The 4 dogs weight is 60 kg with each dog weight been different. The second heaviest dog weighs 28 kg.
Let the heaviest dog be 29 kg, the third heaviest be 2 kg and the fourth be 1 kg.
29 + 28 + 2 + 1 = 60 kg
The weight of the third heaviest among the four dogs is 2 kg.
Find out more on equation at: https://brainly.com/question/2972832
find the distance between each pair if points
Answer:
point a is positive but point b is negative
A translation is shown on the grid below in which triangle A is the pre-image and triangle B is the image.
On a coordinate plane, triangle A is shifted 6 units to the right to form triangle B.
Which rule describes the x-coordinates in the translation?
x + 0
x + 6
x – 6
x + 4
Answer:
(b) x + 6
Step-by-step explanation:
You want the rule for the x-coordinate when the transformation is a right shift of 6 units.
Right shiftA point that is the image of a pre-image point with x-coordinate x will be 6 units farther right of the y-axis than the pre-image point.
The x-coordinate measures how far right of the y-axis a point is. When that distance increases by 6 units, the x-coordinate increases by 6 units:
x ⇒ x+6 . . . . . . the x-coordinate transformation rule
<95141404393>
Abby read 1/10 of a novel in 1/2 an hour how long will it take her to read one novel
Answer:
5 hours
Step-by-step explanation:
Answer:
5 hours
Step-by-step explanation:
multiply by 10 on each side
t = 10 x 1/2 =
t = 5
Help pleaseeeeeeee thanks
Answer:
so the answer is 5
Step-by-step explanation:
the equation will be for this is
7x + 20 = 55
7x = 55-22
7x = 35
x = 35÷7
x=5
on a recent trip a trucker traveled 220 miles at a constant rate because of road conditions the trucker then reduce the speed by 25 mph an additional 30 miles traveled at a reduced rate the entire trip took five hours find the rate of the tracker for the first 220 miles
55 mph
if we assume it takes an hour for the last 30 miles then the rest of the time the trucker could go 55
Explain the importance of putting your data set in order from least to greatest.
Answer:
In order to make it easier for you to understand and helps in making problems more easier and faster to do
I need help on question 26 and 38
Which problem solving strategy would be best to solve this problem?
Brandon went to the store and spent $2.50 on pencils. He spent half of what he had left on a notebook and paper. When he got home he had $5.00 left. How much money did Brandon have before going to the store?
Answer: The best problem solving strategy to solve this problem with is a formula. Additionally Brandon had $12.50 before going to the store.
Step-by-step explanation: Formula and Solving it
He Spent $2.50 on pencils.
Amount left after buying a pencil = x - 2.50
Next, he spent half of the amount left in his pocket.
He spent (x - 2.50)/2 on notebook and paper.
So the total amount he spent = 2.50 + (x -2.50)/2
Amount left when he got home =$ 5.00
That means, x - Total amount spent = 5
=> x - (2.50 + (x -2.50)/2 ) = 5
=> x - 2.50 -x/2 + 2.50/2 = 5
=> x/2 - 2.50/2 = 5
=> x/2 = 5 + 2.50/2
=> x/2 = 6.25
=>x = $12.5
USED THE IMAGE TO ANSWER 8!!
PLEASE HELP MEEEEE
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
If m<5 =115 then
m<1 =115
because they are corresponding angles
If Big Bun won 5 out of 25 matches, what percent did he win?
Answer:
5/25*100=
1/5*100=100+5=20
Determine whether each ordered pair is a solution of the equation y=2x+6
The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.
Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.
If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).
Here, x = 1 and y = 8.Substituting these values in the given equation,
we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,
the ordered pair (1, 8) is a solution of the equation y = 2x + 6.
Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12
To learn more about : equation
https://brainly.com/question/17145398
#SPJ8
For triangle ABC use the Triangle Proportionality Theorem to solve for x. Show all of your work for full credit.
Answer:
x=17
Step-by-step explanation:
See attached.
Because of the Triangle Proportionality Theorem,
24: (2x-4)+6
20: 2x-4
Cross multiply these two ratios
48x-96 = 40x-80+120
Isolate variable: 8x = 96-80+120
Solve: 8x = 136
x=17
Fifteen more than five times a number is equal to the difference between -20 and twice the number. Find the number.
Answer:
5x + 15 = -20 - x²
x = no real solutions
Step-by-step explanation:
There are no real solutions to x.
Brainliest??? PLease!!!
Answer:
x = x = no real solutions
Step-by-step explanation:
no real solutions
Ruby and her children went into a bakery and she bought $18 worth of donuts and cookies. Each donut costs $1 and each cookie costs $1.50. She bought a total of 15 donuts and cookies altogether. Graphically solve a system of equations in order to determine the number of donuts, x, and the number of cookies, y, that Ruby bought.
on a graph
Answer:
Y=6
X=9
Step-by-step explanation:
Donuts=1
Cookies=1.50
x+y=15
X=15-y
X+1.50Y= 18
15-Y+1.50Y=18
0.5Y=3
Y=6
X=9
which statement best describes the difference between the formula for population and sample variance?
The formula for population variance uses the division of (sum of squared deviations) by the total number of elements in the population, while the formula for sample variance uses the division of (sum of squared deviations) by the sample size minus one.
Difference between the formula for population and sample variance?The formula for population variance uses the division of (sum of squared deviations) by the total number of elements in the population, while the formula for sample variance uses the division of (sum of squared deviations) by the sample size minus one.
The formula for population variance is given by:
σ² = (1/N) * ∑(X - μ)²,
where N is the total number of elements in the population, X is an individual value in the population, and μ is the mean of the population.
s²= (1/(n-1)) * ∑(X - m)²,
where n is the sample size and m is the mean of the sample.
Learn more about variance on:
brainly.com/question/15858152
#SPJ1
Between 11 P.M. and 8:36 A.M., the water level in a swimming pool decreased by 8 25 in. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
0.8594 in/hr
Step-by-step explanation:
Decreased in the water level is 8.25 in.
Time 11 P.M. and 8:36 A.M. is 9 hr 36 min = 9.6 hr.
The rate of decreasing water level is constant.
So, \(\text{Rate}=\frac{\text{Level decreased}}{\text{Time taken}}\)
\(\Rightarrow \text{Rate}=\frac{8.25}{9.6}=0.8594 in/hr\).
Hence, the water level drop at the rate of 0.8594 in/hr.
Help please.............
i need help with the question
The intersection points are: (0, -3) and (10, 2)
The bounded area is -20.83 unit²
How to find the intersection points?(a) The intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:
(0, -3) and (10, 2)
(b) The integral terms of y which gives the area bound are:
a = -3, b = 2 (These are the y values of the intersection points)
Since we have x = y² + 3y and x = 2y + 6, we can say:
y² + 3y = 2y + 6
y² + 3y - 2y - 6 = 0
y² + y - 6 = 0
Thus, h(y) =
Using a = -3 and b = 2 with h(y) = y² + y - 6, we have the bounded area as:
\(Area = \int\limits^b_a {y} \, dy\)
\(Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy\)
Integrating the area:
Area = [y³/3 + y²/2 - 6y + C]²₋₃
Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]
Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]
Area = [-22/3] - [27/2]
Area = -125/6
Area = -20.83 unit²
Learn more about bounded area on:
https://brainly.com/question/29320544
#SPJ1