Final answer:
To determine the number of hamburgers sold on Saturday, we used the given total of 273 burgers and the relationship that cheeseburgers were twice as numerous as hamburgers. By setting up an equation and solving for the number of hamburgers, we found that 91 hamburgers were sold.
Explanation:
The question asks us to determine how many hamburgers were sold on Saturday given that the total number of hamburgers and cheeseburgers sold was 273, and the number of cheeseburgers was two times the number of hamburgers. Let's denote the number of hamburgers as H and the number of cheeseburgers as C. The problem states that C = 2H. The total number of burgers sold was H + C = 273. Substituting C with 2H, we get H + 2H = 273.
Solving for H, we combine like terms to get 3H = 273, and then we divide both sides by 3 to find H = 273 / 3. Therefore, H = 91. So, 91 hamburgers were sold on Saturday.
What is the next answer 3,6,4,8,6,12,10
From home, Mary’s work is two thirds along the way to training. Training is 2.5km from work. Mary normally goes to work, then training and then home again. However, today she forgot her shoes. How far will Mary travel in total today if she has to go home before training to get her shoes?
The total distance Mary would have to travel considering she needs to return home for her shoes is 25km.
Explanation:This math problem involves the calculation of distances within a commute. Here's how we can provide a solution:
We first need to calculate how far Mary's home is to her work. If training is 2.5km from work and this represents one third of the travel (since work is two thirds along the way to training), the total distance from Mary's home to training is 2.5km * 3 = 7.5km. Thus, the distance from Mary's home to work is 7.5km * 2/3 = 5km.So, for Mary's normal route - home to work, then work to training, then training to home - she travels 5km (home to work) + 2.5km (work to training) + 7.5km (training to home) = 15km.Today, however, Mary needs to go back home from work for her shoes before she can proceed to training. This path would be: home to work (5km), work to home (5km), home to training (7.5km), and finally, training to home (7.5km) giving a total of 5km + 5km + 7.5km + 7.5km = 25km. So, Mary will travel a total of 25km today due to the forgotten shoes.Learn more about Distance calculation here:
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Describe the two possible ways to use the angle of depression that is outside a right triangle?
A container holds 5 quarts of lemonade. How much is this in cups?
Any help like i just had
Find all numbers for which the rational expression is undefined z^2+6/z^2-7z-8
Suppose we are flipping a fair coin (i.e., probability of heads = 0.5 and probability of tails = 0.5). further, suppose we consider the result of heads to be a success. what is the standard deviation of the binomial distribution if we flip the coin 5 times?
Find the quotient. 22x 2 y 2 ÷ 11x 2 y 2
Answer:
Quotient of 22x²y²÷11x²y² is:
2
Step-by-step explanation:
If a number p is divided by b then,
if p could be written as p=qb+r then q is the quotient and r is the remainder
Here, p=22x²y²
and b=11x²y²
22x²y²= 2(11x²y²)+0
⇒ q=2 and r=0
⇒ quotient=2
Hence, quotient of 22x²y²÷11x²y² is:
2
Need help on this problem plz
The rhombus has vertices K(w, 0), M(w, v), and L(u, z). Which of the following could be coordinates of N?
(u, 0)
(v, w)
(0, z)
(z, 0)
the answer would be the third choice which is N(0, z)
Answer with explanation:
Vertices of Rhombus, KM LN, are : K (w,0), M (w,v) , L (u,z) and N (?).
N (?)= (x,y)
Diagonals of Rhombus Bisect each other.Diagonal, KL and MN will Bisect each other.
Mid Point Formula of Line Joining , (m,n ) and (r,s) is :
[tex]=(\frac{m+r}{2},\frac{n+s}{2})[/tex]
Mid Point of KL is
[tex]=(\frac{w+u}{2},\frac{0+z}{2})[/tex]
Mid Point of MN is
[tex]=(\frac{w+x}{2},\frac{v+y}{2})[/tex]
So, Mid point of KL = Mid Point of MN
[tex](\frac{w+u}{2},\frac{0+z}{2})=(\frac{w+x}{2},\frac{v+y}{2})\\\\ \frac{w+u}{2}=\frac{w+x}{2}\\\\x=u\\\\\frac{0+z}{2}=\frac{v+y}{2}\\\\y=z-v[/tex]
So, coordinates of Point N,can be = (u, z-v).
None, of the Option,matches with the given option.
If you will Write the rhombus as,K L MN,then also you will not get answer which matches with the options.
a patio is in the shape of a regular octagon. the sides have length 5m. Calculate the area of the patio
here is the solution.
Round the answer as needed.
A roof rises 9 feet for every 12 feet of run. What is the slope of the roof?
Since slope, m, is defined as the rise/run; then m = 9/12
simplify m = 3/4
Solve p=10a+3b for a.
The lengths of the sides of a triangle are 4,5,6 can the triangle still be a right triangle
No. We can use the pythagorean theorem to prove this.The equation being a2 + b2 = c2. We then use two of the least of the three numbers, which are 4 and 5, to substitute for “a” and “b”. We get a value for “c” which is 6.4, rounded off to the nearest tenth. This value is greater than 6. Note that this is a very logical way of solving the problem since a greater number for “a” and “b” would lead a greater value for “c”
What is the area of the trapezoid?
30 square units
60 square units
90 square units
120 square units
Answer:
B-60
Step-by-step explanation:
The area of the trapezoid is 60 square units
How to find the area of a trapezoidThe formula for finding the area of a trapezoid is expressed as:
A = 0.5(a+b)h
Given the following parameters
a = AD = √4² + 6²
AD = √16+36
AD = √52
For the length of BC
a = AD = √6² +10²
AD = √36+100
AD = √136
Calculate the height of the trapezium (10, 6) and (8, 12)
H = √6² +2²
H = √40
Substitute
A = 1/2(7.21+11.66)*6.33
A = 60 square units
Hence the area of the trapezoid is 60 square units
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For the set of integers {2,3,7,X,9}, find X if 7 is the median of the set
Find the volume of the ellipsoid x^2+y^2+9z^2=64
Final answer:
The volume of the ellipsoid x²+y²+9z²=64 is 1024π/3 cubic units.
Explanation:
To find the volume of the ellipsoid given by the equation x²+y²+9z²=64, we can use the formula for the volume of an ellipsoid, which is V = (4/3)πa×b×c, where a, b, and c are the semi-axes of the ellipsoid. In our case, the ellipsoid can be rewritten to show its semi-axes clearly by dividing the equation by 64, which gives us (x²/64) + (y²/64) + (z²/(64/9)) = 1, indicating that our semi-axes are a = b = 8 and c = 8/3. Plugging these values into our volume formula gives us V = (4/3)π×8×8×(8/3), which simplifies to V = 1024π/3 cubic units.
The physician ordered Polymox (amoxicillin) oral suspension 20 mg/kg/day in divided doses every 8 hours for a child who weights 66 pounds. Convert pounds to kilograms and then calculate the prescribed dosage. ______ mg every _____ hours
The diagram below shows the partial construction of which shape?
a circle inscribed in a circle
an equilateral triangle inscribed in a circle
a regular hexagon inscribed in a circle
a square inscribed in a circle
Answer:
The correct option is 2.
Step-by-step explanation:
Steps for construction of a circle inscribed in a circle:
1. Draw a circle using compass.
2. Draw a diameter of that circle, using the scale.
3. Place the compass on a end point of diameter and draw a full circle, without changing the span on compass.
4. Mark the points of intersection of the two circle.
5. Using scale connect both points of intersection.
6. Using the scale connect each in intersection point with the second end point of diameter.
The diagram below shows the partial construction of a circle inscribed in a circle. Therefore the correct option is 2.
The nutritional chart on the side of a box of a cereal states that there are 93 calories in a three fourths 3/4 cup serving. How many calories are in 5 cups of the cereal?
In one day,Annie traveled 5 times the sum of the number of hours Brian traveled and 2. Together they traveled 20 hours.Find the number of hours each person traveled.
Paige pays $532 per month for 5 years for a car. she made a down payment of $3,700.00. if the loan costs 7.1% per year compounded monthly, what was the cash price of the car?
What is the GCF of 12 and 20
Answer:
It is 4.
Step-by-step explanation:
It said so in my classes.
The equation below represents Function A and the graph represents Function B:
Function A
f(x) = x - 9
Function B
graph of line going through ordered pairs negative 1, negative 3 and 2, 3
Which equation best compares the slopes of the two functions?
Slope of Function B = 2 x Slope of Function A.
Slope of Function A = Slope of Function B
Slope of Function A = 2 x Slope of Function B
Slope of Function B = - Slope of Function A
Answer: The correct option is A., i.e, Slope of Function B = 2 x Slope of Function A.
Explanation:
The given function is,
[tex]f(x)=x-9[/tex]
It can be written as,
[tex]y=x-9[/tex]
It is the slope intercept form like y=mx+c, where m is the slope. On comparing the f(x) with the slope intercept form, we get the slope of f(x) is 1.
The graph of function g(x) passing through the point (-1,-3) and (2,3).
If a line passing through the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of line is,
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{3-(-3)}{2-(-1)}=\frac{3+3}{2+1}= \frac{6}{3} =2[/tex]
The slope of g(x) is 2.
Since slope of f(x) is 1 and the slope of g(x) is 2, so we can say that the slope of function B is twice of slope of function A.
Slope of Function B = 2 x Slope of Function A
Therefore, the first option is correct.
The answer is A... yeet
Would you rather have 1/5 share of £12000
Answer:
Yes bc I want you to have some money
Step-by-step explanation:
Xavier has $23.50 in his savings account. He deposits $35 every week. His mother also deposits $20 into the account every time Xavier washes the car. His savings account balance can be shown with the following expression:
20c + 35w + 23.50
Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points)
Part B: If Xavier saves for 12 weeks and washes the car 3 times, how much will he have in his account? Show your work to receive full credit. (4 points)
Part C: If Xavier’s mother deposited $25 after each car wash, would the coefficient, variable, or constant in the expression change? Why? (3 points)
How do you write 2/100000 as a decimal?
The fraction 2/100000 written in form of a decimal is 0.00002
Given the fraction 2/100000, we are to express this fraction as a decimal
The fraction can also be expressed as;
2/100000 = 2 * 1/00000
2/100000 = 2 * 0.00001
2/100000 = 0.00002
Hence the fraction 2/100000 written in form of a decimal is 0.00002
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Find an equation of the circle whose diameter has endpoints ( −1,−4) and (3,2) .
Final answer:
The equation of the circle with diameter endpoints (-1,-4) and (3,2) is (x - 1)^2 + (y + 1)^2 = 13, found by calculating the center at (1, -1) and the radius as sqrt(52)/2.
Explanation:
To find an equation of the circle whose diameter has endpoints at (-1,-4) and (3,2), we need to determine the center and radius of the circle. The center of a circle is the midpoint of the diameter, and the radius is half the length of the diameter.
First, we calculate the midpoint (which will be the center of the circle) using the formula: (x1 + x2)/2, (y1 + y2)/2. For the given points (-1,-4) and (3,2), the midpoint is ((-1 + 3)/2, (-4 + 2)/2), which simplifies to (1, -1). So, the center of the circle is (1, -1).
To find the radius, we use the distance formula: sqrt((x2 - x1)^2 + (y2 - y1)^2). The distance between the two points is sqrt((3 - (-1))^2 + (2 - (-4))^2), which simplifies to sqrt(4^2 + 6^2) = sqrt(16 + 36) = sqrt(52). The radius is half of the diameter, so r = sqrt(52)/2.
The standard form of a circle's equation is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius. Substituting the values we found, we get (x - 1)^2 + (y + 1)^2 = (sqrt(52)/2)^2, which simplifies to (x - 1)^2 + (y + 1)^2 = 13. This is the equation of the circle.
Write the fractions in order from smallest to largest. 7/10, 3/20,22/25, 2/25
Divide 2x^3 - 35x-12/ x+4