A jug of juice has 7 cups of pineapple juice and 3 cups of orange juice. write the ratio of number of cups of pineapple juice to total number of cups of juice *
Mary leaves her house to take a walk. The graph shows the distance, d, in feet from her house that Mary is at any given time, t, in minutes. How many minutes has Mary walked when she reaches the farthest point from her house
Suppose that x and y vary inversely and x = 1 when y = 12. Write a function that models the inverse variation. Graph the function and find y when x = 20.
Write a function that models the inverse variation.
Each summer Primo Pizza and Pizza Supreme compete to see who has the larger summer profit. Let f ( x ) f(x) represent Primo Pizza's profit x x days after June 1. Let g ( x ) g(x) represent Pizza Supreme's profit x x days after June 1. Suppose Primo Pizza's profit each day is two times as large as the profit of Pizza Supreme. Express the function f f in terms of the function g
g.
The profit of Primo Pizza is twice the profit of Pizza Supreme each day. Therefore, if g(x) represents the profit of Pizza Supreme x days after June 1, then f(x), representing Primo Pizza's profit, is given by f(x) = 2g(x). This means if Pizza Supreme's profit on a particular day is $500, Primo Pizza's profit on the same day is $1000.
Explanation:In this problem, we are given that the profit of Primo Pizza (represented by the function f(x)) is two times larger than the profit of Pizza Supreme (represented by the function g(x)). This relationship between the two profits can be expressed as f(x) = 2 * g(x). So, if you know the profit of Pizza Supreme on a particular day (g(x)), you can determine the profit of Primo Pizza on that day by doubling the profit of Pizza Supreme.
For instance, if Pizza Supreme's profit 10 days after June 1st is $500 (so, g(10) = $500), then Primo Pizza's profit on the same day would be f(10) = 2 * g(10) = 2 * $500 = $1000. Thus, Primo Pizza is making twice the profit of Pizza Supreme each day.
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3, 12, 48, 192, 768, . . .
This sequence has a
A.] common difference of 4
B.] common ratio of 4
C.] common difference of [tex] \frac{1}{4}[/tex]
D.] common ratio of [tex] \frac{1}{4}[/tex]
Patrick is constructing the circumscribed circle for △RST.
Which construction could be his first step?
Construct the perpendicular bisector of ST¯¯¯¯¯ .
Construct the angle bisector of ∠T .
Construct a copy of ∠S that is adjacent to ∠R .
Construct the angle bisector of ∠R .
I WILL GIVE 40 POINTS FOR EACH QUESTION REALLY NEED HELP THERE ANOTHER POST FOR THE OTHER QUESTION IT WILL BE ANOTHER 40 AS WELL AND MARKED AS BRAIN~LEST AND STAR RATEING
Answer:The first page is S^2
The fourth page is The last option
The fifth page maybe the last one
Step-by-step explanation:
Determine if each set of ordered pairs represents a function
Answer:
Function:(7,-4), (0,9), (2,-2)
(-6,5),(-5,6), (8,2)
(2,3),(6,-5),(-1,3)
Not a function:(0,3),(0,7),(4,0)
(1,9),(-3,-2),(1,-4)
Step-by-step explanation:
edge
A basketball player scored 2222 times during one game. hehe scored a total of 3030 points, two for each two-point shot and one for each free throw. how many two-point shots did hehe make
A mother has 5 liters of cream to make ice cream for a party.suger comes in 1kg bags how many suger will be needed
a triangular plot of land has boundary lines 45 meters, 60 meters, and 70 meters long. the 60 meter boundary line runs north-south. Is there a property for the boundary line that runs east-west
No, there is no property for the boundary line that runs east-west.
Explanation:No, there is no property for the boundary line that runs east-west. This is because if we have a triangle with side lengths 45 meters, 60 meters, and 70 meters, and the 60 meter side runs north-south, then the other two sides must be at an angle to the north-south line. It is not possible for one of the sides to be parallel to the north-south line (east-west) because that would create a rectangle rather than a triangle.
the number of squares in 15 quilts if 6 quilts have 288 squares
Orlando bought a new couch for 2,736, using the furniture store's finance plan. He will pay $114 a month for 24 months. Which equation can Orlando use to find out how much money he still owes after each month of the plan?
Answer:
[tex]y = 2736 - 114x[/tex]
Step-by-step explanation:
It is given that the cost of the couch was $2,736. Orlando bought that couch using furniture store's finance plan. The plan says that he is supposed to pay $114 per month for a period of 24 months.
we are asked to determine the equation which can determine the total amount still due on orlando after x number of months.
Let the total number of month we are calculating = x
Payment per month = $114
Hence payment made in x months = $114x
Hence payment still owned by Orlando = $2736-$114x
Above equation gives us the dues on Orlando
The next term of the arithmetic sequence 39,60,81,102,123.....is
How do you represent 4/7 + 3/14 on a number line?
Please Help Asap!!
The surface area of a box is 160. the length of the box is twice its width as well as 4 less than its height. how many units are in the height of the box? (the surface area of a box is the sum of the areas of all 6 of its rectangular faces.) aops
Final Answer:
The height of the box is 9 units.
Explanation:
Let's denote the width of the box as w, the length as l, and the height as h. According to the problem, we have the following relationships:
l = 2w (the length is twice the width) and
l = h - 4 (the length is also 4 less than the height).
The surface area SA of a rectangular box is calculated by the formula:
SA = 2lw + 2lh + 2wh.
Given that the surface area is 160, we set up our equation:
160 = 2lw + 2lh + 2wh.
Now let's substitute the relations l = 2w and l = h - 4 into the surface area equation:
Since l = 2w, 160 = 2(2w)w + 2(2w)h + 2wh.
Simplifying the equation, we have:
160 = 4w² + 4wh + 2wh
160 = 4w² + 6wh
Now we use the fact that l = h - 4 to substitute for h:
h = l + 4
h = 2w + 4
Now substitute h back into the surface area equation:
160 = 4w² + 6w(2w + 4) ,
Expand the terms:
160 = 4w² + 12w^2 + 24w,
Combine like terms:
160 = 16w² + 24w
Now, we must solve for w. Let's move all terms to one side to solve the quadratic equation:
16w² + 24w - 160 = 0
Divide all terms by 8 to simplify:
2w² + 3w - 20 = 0
We can now attempt to factor the quadratic equation:
(2w - 5)(w + 4) = 0
This gives us two solutions:
2w - 5 = 0 or w + 4 = 0
Solving the first equation for w:
2w = 5,[tex]\( w = \frac{5}{2} \)[/tex]
w = 5/2
We can disregard the second solution w + 4 = 0 for w, as it gives us a negative width, which isn't possible for a box.
Now that we have w, we can find h.
Using our earlier substitute for h:
h = 2w + 4 ,
[tex]h = 2 \cdot \frac{5}{2} + 4[/tex] ,
h = 5 + 4 ,
h = 9 .
Thus, the height of the box is 9 units.
The area of a parallelogram is 400m2 the base is 25m find the length of the height
A transformation T: (x, y) (x - 5, y + 3).
The image of A(2, -1) is
(3, 2)
(-3, 2)
(-3, -2)
Answer:
i can confirm the above awnser is correct
which method is most efficient in solving a system of linear equations when the two equation have x-values with opposite coefficient values
A. GUESS AND CHECK
B. GRAPHING
C. SUBSTITUTION
D. ELIMINATION
A restaurant purchased 160 boxes of mustard packets. Each box contained 103 packets of mustard. How many mustard packets in total did the restaurant purchase?
Answer:
Total number of mustard packets = 16,480
Explanation:
A restaurant buy mustard box = 160
Each mustard box contain packet = 103 packet
In order to find the total number of packets
Total number of packet = (number of mustard boxes)*(number of packets in a box)
Now put the values in given formula
Total number of packet = 160 * 103
Total number of packet = 16,480
final answer, I hope it helps
the gray is a sidewalk and the turquoise is grass. Both are squares. What is the area of the sidewalk?
A) 4 ft2
B) 36 ft2
C) 44 ft2
D) 48 ft2
Answer:
C 44 ft2 i just took the test .
Step-by-step explanation:
How many solutions does the following equation have?
4(y - 30) = 4y + 12
a. No solutions
b. Exactly one solution
c. Infinitely many solutions
The radius of a circle is 10 feet. What is the angle measure of an arc 4 feet long?
Which of the following is not a method used to prove triangles congruent?
A) AAS Theorem
B) SSA Postulate
C) SAS Postulate
D) ASA Postulate
Answer:
B) SSA Postulate
Step-by-step explanation:
Two triangles are congruent if they are of the same shape and size.
Two triangles can be proved congruent by AAS ,SAS ,ASA ,SSS ,HL postulates.
Two triangles are congruent if two angles and one side of both the triangles are congruent that is AAS and ASA postulates.(option A and D)
The triangles can be congruent by SAS that is if two sides and included angle of two triangles are congruent then the triangles are congruent .(Optionc)
Option B that is SSA is not a congruence postulate.
The windows of a downtown office building are arranged so that each floor has six fewer windows than the floor below it. If the ground floor has 52 windows, how many total windows are on the first eight floors?
Answer:
There are 248 windows on the first eight floors.
Step-by-step explanation:
As given:
The ground floor has 52 windows.
This question is based on arithmetic sequence:
a1 = 52
d = - 6 (each floor has six fewer windows than the floor below it)
[tex]a_n=a1+(n-1)d[/tex]
[tex]a_8 =a1+7d[/tex]
=> [tex]52+[7 \times (-6)][/tex]
=> [tex]52-42 =10[/tex]
We know:
[tex]S_n= n/2 \times (a1 +a _n)[/tex]
[tex]S_8 =8/2 \times(52+10)[/tex]
= 248
Therefore, there are 248 windows on the first eight floors.
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Samantha has 3 times as many baseball cards as mark. mark has 12 baseball cards. write an equation that shows how many cards samantha has.
Use the quadratic function to predict f(x) if x equals 2. f(x) = −3x2 + 180x − 285
What is the slope of a line perpendicular to the line y=3/4x+1
Josie had a choice of 3 breads, 4 choices of meat, and 4 choices of cheeses to make a sandwich.
How many different sandwiches can she make?
24
36
48
60
Answer:
The answer is 48
Step-by-step explanation:
For every different sandwich, she needs to choose one breat, one meat and one cheese.
For each choice of bread, there are 4 choices of meat and 4 choices of cheese. Also, for each meat, there are four choices of cheese. It means that for each bread there are 4(choices of meat)*4(choices of cheeses) = 16 possible combinations.
There are also 3 choices of breads. For each bread, there are 16 possible combinations. So, in all, there are 3*16 = 48 possible combinations.