Jada is making lemonade for a get-together with her friends. She expects a total of 5 to 8 people to be there (including herself). She plans to prepare 2 cups of lemonade for each person. The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Let represent the number of people at the get-together, the number of cups of water, the number of scoops of lemonade powder. Select all the mathematical statements that represent the quantities and constraints in the situation.
Answers
Answer: B,C,D,F
Step-by-step explanation:
All the correct mathematical statements that represent the quantities and constraints in the given situation are;
Option B; 5 ≤ n ≤ 8
Option C; c = 2n
Option D; l = c
Option F; 10 ≤ l ≤ 16
We are told that;
n = the number of people
c = the number of cups
l = the number of scoops of lemonade powder.
We are told that number of people is a total of between 5 to 8 people. Thus, the inequality to represent this is; 5 ≤ n ≤ 8We are told that she wants to prepare 2 cups of lemonade for each person. This means when n = 1, c = 2 ; when n = 2, c = 4. Thus, this can be expressed as; c = 2nWe are told that the lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. That means 4 lemonade powder scoops = 4 cups. This can be expressed as; 4l = 4c. This can be simplified to; l = c
Since she is expecting between 5 to 8 people including herself. 2 lemonade scoops per person means;
the least amount of lemonade = 5 × 2 = 10
the maximum lemonade = 8 × 2 = 16
This can be written in inequality form as;
10 ≤ l ≤ 16
The only options that correspond with all the inequalities gotten above are; Options B, C, D, F.
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Related Questions
Which are the first 5 terms of an ARITHMETIC sequence with a COMMON DIFFERENCE of -0.4 and a FIRST TERM of 0.7 *
1 point
0.7,0.175,0.04375,...
1,0.6,0.2,-0.2,-0.6,...
0.7,0.3,-0.1,-0.5,...
0.7,2.8,11.2,44.8,...
Answers
Answer:
89
Step-by-step explanation:
the square root of 81
Answers
Answer:9
Step-by-step explanation:
I am selling 900 yearbooks, making a total of $2820. The large yearbook pages cost $4 and the small cost $2.50. Find how many of each I sold. HELPPP PLS
Answers
Answer:
number of large year book sold = 380
number of small year book sold =520
Step-by-step explanation:
Let the no. of large year book pages be x
given that
cost of 1 large year book = $4
cost of x large year book = x*cost of 1 large year book = $4x
Let the no. of small year book pages be y
given that
cost of 1 small year book = $2.5
cost of y small year book = y*cost of 1 large year book = $2.5y
also,
total year books sold were 900
no. of small year book + no. of small year book = 900
x + y = 900
y = 900 - x ------------------>1
also total money made by selling large and small year book = $2820
cost of x small year book + cost of x large year book = 2820
4x + 2.5y = 2820
using y = 900 - x in above equation
4x + 2.5(900-x) = 2820
4x + 2250 - 2.5x = 2820
1.5x = 2820-2250 = 570
x = 570/1.5 = 380
Thus,
number of large year book sold = 380
number of small year book sold = 900-380 = 520
Eliza wants to conduct a survey to find out how much time students from her school spend listening to music. Which of the following is an appropriate statistical question for this survey?
Select one:
a. How many of you listen to music for an hour each day?
b. How many hours per week do you listen to music?
c. How many of you listen to music for more than an hour each day?
d. How many hours per week does the best musician listen to music?
Answers
Answer:
B
Step-by-step explanation:
You want to find the hours, not the number of people.
We wouldn't know anything about the "best musician" that one wouldn't be a good answer choice
Find the values of x and y.
Please show steps
Answers
We know that x is a right angle. The way we find y is to add 47 + 90 which gives us 137. We also know that a right triangle adds up to 180. So, we subtract 137 from 180. This means that y would be 43 degrees.
How many planes pass through three or more vertices of a regular octahedron?
Answers
Answer:
The total number of planes = 23 planes
Step-by-step explanation:
The number of planes are give as follows;
The number of planes with three points, given that any three points of an octahedron forms a plane are ₆C₃ = 20
The number of distinct planes that has 4 points in the octahedron = 3
Therefore, the total number of planes are 20 + 3 = 23 planes.
The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle?
Square root of 5
Square root of 7
5
7
Answers
Answer:
7
Step-by-step explanation:
let the other leg be x
Then using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 3² = 4²
x² + 9 = 16 ( subtract 9 from both sides )
x² = 7 ( take the square root of both sides )
x = 7
Answer:
7
Step-by-step explanation:
let the other leg be x
Then using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 3² = 4²
x² + 9 = 16 ( subtract 9 from both sides )
x² = 7 ( take the square root of both sides )
x = 7
Two siblings Edwin and Rhea are both going skiing but choose different payment plans. Edwin's plan charges $45 for rentals and $5.25 per lift up the mountain. Rhea's plan was a bundle where her entire day cost $108. Set up an inequality that models the number of trips, n, up the mountain for which Edwin will pay more than Rhea. Solve the inequality. Also, what is the greatest amount of trips that Edwin can take up the mountain and still pay less than Rhea? Explain how you arrived at your answer.
Answers
Answer:
n>12
Step-by-step explanation
45+5.25n>108
-45 -45
5.25n > 63
then divide both sides by 5.25
n>12
This graph shows part of Ahmed's journey to the gym and back.
(a) Work out Ahmed's speed on his way to the gym.
(b) How long did Ahmed take in the gym?
Give your answer in minutes.
(c) Ahmed took half an hour to travel back home.
What was Ahmed's speed on his way home?
Answers
Step-by-step explanation:
the graph is not showing
The HCF of two numbers is 16 and their product is 3072. Find their LCM
Answers
Answer:
192
Step-by-step explanation:
16 × LCM = 3072
LCM = 3072 ÷ 16
LCM = 192
5 pencils and 3 pens costs £11.
4 pencils and 6 pens costs £16.
Find the cost of a pencil.
Find the cost of a pen.
Answers
Answer:
The pencil is £1 and the pen is £2
Step-by-step explanation:
Let the pencil be p and let the pen be f.
5p + 3f = 11
4p + 6f = 16
the top one multiplies by two:
10p + 6f = 22
4p + 6f = 16 subtract
6p = £6
pencil = £1
Then you substitute the value of the pencil into the equation and find the value of the pen.
Morgan is in the business of manufacturing phones. She pays a cost of $200 per phone produced for materials and labor and also must pay a daily fixed cost of $400 to rent the building and equipment. Make a table of values and then write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.
Answers
A linear equation is an algebraic equation of the form [tex]y=mx+b[/tex]. , where m is the slope and b is the y-intercept.
Total cost represented by equation, [tex]C=200x+400[/tex]
Let number of phones is represented by x .
Since, She pays a cost of $200 per phone produced for materials and labor
For x phones, she will pay = 200x
Since, she also pays daily fixed cost of $400 to rent the building and equipment
Therefore, total cost is represented by equation shown below,
[tex]C=200x+400[/tex]
Learn more:
https://brainly.com/question/20335698
8x=-1/2 Whats the answer
Answers
Karen pays $50 to join a health club and $20 each month. So far she has paid the health club $170. Write an equation that could be used to find the number of months, m, that Karen has been a member
Answers
PLEASEEWW HELPPP WILL MARK BRAINLIESTTT
Which sequence of rigid motions will definitely work to take triangle GHJ onto triangle STU?
A.) Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.
B.) Translate GHJ by the directed in segment GS. Translate G’H'J by the directed line segment H'T. Translate G"H"J" by the directed line segment J"T.
C.) Translate GHJ by the directed line segment GS. Rotate G’H'J using S as the center by angle H'ST Reflect G"H"J" over ST.
D.) Translate GHJ by the directed line segment GT. Rotate G’H'J using T as the center by angle H'ST. Reflect G"H"J over ST.
Answers
The correct option is A. Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.
There are four types of rigid motions that we will consider translation , rotation, reflection, and glide reflection.
Here we have to rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.
Hence option A is correct that is Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.
For more details on Rotation follow the link:
https://brainly.com/question/1571997
brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!
Imagine that 12 goats got into a dumpster behind a pizza parlor and ate 3 pizzas. How many goats per pizza would that be?
Answers
Answer:
4
Step-by-step explanation:
how do I solve −2(n− 9) + 4 using distributive property or combining like terms?
Answers
Answer:
Multiply the term outside of the parentheses by each term in the parentheses. To do this, you are essentially distributing the outer term into the inner terms. Multiply the term outside the parentheses by the first term in the parentheses. Then multiply it by the second term. If there are more than two terms, keep distributing the term until there are no terms left. Keep whatever operation (plus or minus) is in the parentheses
Step-by-step explanation:
Hello!! I need help with square root please help me!!!
Answers
Ok so what you need to do is you need to get all the numbers and see which one is the right number so...
A. y = 11.2 that is wrong
B. y = 25 is wrong
C. y = 5 is right
D. y = 15 is wrong.
C is right because it would be 5 times 5 times 5. SO 5 times 5 is 25, and then u times it by 5 and you get 125!
C is correct
Hope this helps!!
Answer:
This is actually a cube root, since you need a cube root to cancel out the cube.
C, y = 5
Step-by-step explanation:
125 = 5 × 5 × 5 = 5^3
5 × 5 × 5 = 25 × 5 = 125.
Therefore the cube root of 125 = 5.
It REALLY helps when you break these into factors.
[tex] \sqrt[3]{125} = 5 , \: as \: {5}^{3} \: = 125 [/tex]
This is essentially asking what multiplied by itself three times is equal to 125.
Process of elimination can be used for any number cubed that is ≠ 125
i.e : 11.2^3 ≠ 125
11.2^3 = 11.2 × 11.2 × 11.2 = (11.2-1.2)(11.2+1.2)(11.2) = (11.2)((10)(12.4) + 1.2^2) = 124 + 1.44 = (125.44)(11.2) = 125.44(10+1+(2/10)) = 1254.4 + 125.44 + 25.088 = 1404.928 ≠ 125, y ≠ 11.2
I.e : 25^3 = 25 × 25 × 25 = 625 × 25 = (600+25)(25) = 625 + 6(25)(100) = 15000 + 625 = 15625 ≠ 125, y ≠ 25.
And i.e: 15^3 = 15 × 15 × 15 = 225 × 15 = (225)(10+5) = 225(10) + 225(10/2) = 2250 + 2250/2 = 2250 + 1125 = 3375 ≠ 125, y ≠ 15.
the area of the rectangle
Answers
Answer:
8x6=48
Step-by-step explanation:
48 units^2
Explanation:
Area of a rectangle=length*width
When we count the units for the length on the graph, we get 8. When we count the units for the width, we get 6.
Area=length*width
Area=6*8
Area=48
I hope this helps! Please comment if you have any questions.
52$ tie; 50% discount
Answers
Answer:
$26
Step-by-step explanation:
its 50% , just divide by 2
Answer:
52/2 = $26
Step-by-step explanation:
50% is half, so simply divide it by 2
Today, a bicycle rider rode her bike 5 1/2 miles to raise money for her school. Yesterday, she rode 6 1/4 miles her grandfather said he would give her 2$ for every mile she rode. How much money did she earn?
Answers
Answer:
.125 or 1/8
Step-by-step explanation:
The question is looking for the difference divided by the long ride. The long ride is 6 1/4 miles, so now we need to find the difference.
In order to do this, we take the larger distance and subtract the smaller distance.
We would take (Tip: Use decimals when you can. They are easier to work with ) 6.25 - 5.5 and we get .75 or 3/4 of a mile.
Now, we put .75 over 6.25 and simplify.
.125 or 1/8
Answer:
22$ simplified
Step-by-step explanation:
5*2=10+12=2*6
=22
Evaluate and solve for the variable and please show your work.
-2=y+5
x – 7 = 4 + 10
–2x + 3x – 5 = 6 – 21
70 = 7m
4 – 14 = 5x
2y + 3y = 4 – 6 – 13
Answers
Answer:
Step-by-step explanation:
-2 = y + 5
- y -2 = 5
- y = 5 + 2
- y = 7
y = -7
-2x + 3x – 5 = 6 – 21
x – 5 = 6 – 21
x – 5 = -15
x = -15 + 5
x = -10
70 = 7m
7m = 70
m = 10
4 – 14 = 5x
-10 = 5x
5x = -10
x = -2
2y + 3y = 4 – 6 – 13
5y = 4 – 6 – 13
5y = -15
y = -3
Answer:
I took I quiz and the answers are correct
Step-by-step explanation:
:) :) :) :) :) :) :)
If Hailey buys 10 shirts at 10% off and each shirt costs s dollars, which expression is NOT equivalent to the situation?
Answers
Answer:
9.90 per shirt
Step-by-step explanation:
10-.10=9.90
Sonya made a resolution to walk 2.5 kilometers a day. On Tuesday she walked 4 times around the running track at the local high school (each lap is 0.4 kilometers.) How many additional kilometers does Sonya need to walk? (HINT: this is a multi-step problem with 2 operations...)
Answers
Answer:
0.9km
Step-by-step explanation:
Given that:
Sonya's resolution = walk 2.5 km daily
Total distance walked on Tuesday = 4 times around a running track
1 lap = 0.4 km
Hence, total distance by walking 4 times around track :
0.4km * 4 = 1.6km
Additional kilometers Sonya needs to walk:
2.5 - 1.6 = 0.9 km
While shopping for clothes, Curtis spent $78 less than 3 times what Daniel spent. Curtis spent $21. Write and solve an equation to find how much Daniel spent. Let x represent how much Daniel spent.
Answers
Bobby sells sports videos to local businesses in his area. His daily wage, W, is based on the number of hours he works, H, at the minimum wage of $7.25 per hour, plus $10 to cover gas and lunch expenses. Which equation best describes this relationship?
Answers
Answer:
W = 7.25H - 10
which statements about the function in item 3 are true? select all that apply
A. some input values are negative
B. some output values are negative
C. some input values are integers
D. some output values are integers
Answers
Answer:
C. Some input values are integers
Step-by-step explanation:
Petra jogs 4 miles in 36 minutes. At this rate, how long would it take her to jog 10 miles.
Answers
So 36 x 2.5 = 90
90 minutes to jog 10 miles.
Kate had 70 dollars to spend on 6 books. After buying them he had 16 dollars. How much did each book cost?
Answers
Answer:
Each book costs 9 dollars.
Step-by-step explanation:
(70-16)= 6x
54= 6x
x=9
Answer:
9
Step-by-step explanation:
equation: (70-16)÷6
70-16=54
54÷6=9
The 8th graders are having a bake sale to raise money for their field trip to a water park.
If they sell c cupcakes and b brownies at the prices shown below, then the amount of
money raised is given by the expression 0.4C+0.45b. How much money will be raised if
the 8th graders sell 68 cupcakes and 76 brownies?
Bake Sale Prices
Brownies 450
Eupcakes
40¢
Answers
Answer:
27 dollrs for c
76dollra for b
Step-by-step explanation: because you just multiply the 68 and 76 by how much they were for