Directions Type your answer in the space provided.
Hunter wants to make money over the summer by selling lemonade. He has $50 in savings. He spends 520 on a pitcher and reusable cups. Doing the math, he realizes that sugar, lemons, and water will cost $. 75 per serving. What is the greatest number of cups that can be made before Hunter runs out of his budget?
Hunter can make a maximum of 59 cups before he runs out of money.
What is an inequality?An inequality is an expression that shows the non equal comparison of two or more variables and numbers.
Let x represent the number of cups that hunter can buy, He already spent 520 cents ($5.2) hence:
0.75x ≤ 50 - 5.2
x ≤ 59.7
Hunter can make a maximum of 59 cups before he runs out of money.
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Mr. Miller owns two hotels and is ordering towels for the rooms. He ordered 27 hand towels and 48 bath towels for a bill of $540 for the first hotel. He ordered 50 hand towels and 24 bath towels for a bill of $416 for the other hotel.
What is the cost of one hand towel and one bath towel?
A.
The cost of one hand towel is $9 and the cost of one bath towel is $4.
B.
The cost of one hand towel is $8 and the cost of one bath towel is $5.
C.
The cost of one hand towel is $5 and the cost of one bath towel is $8.
D.
The cost of one hand towel is $4 and the cost of one bath towel is $9.
This question is based on the concept of solving a two linear equation.
Thus, the cost of one bath towel is $9 and one hand towel is $4.
Given:
Number of ordered of hand towels is 27 and bath towels is 48 and for a bill of $540 for the first hotel.
Number of ordered of hand towels is 50 and bath towels is 24 and for a bill of $416 for the other hotel.
We need tom determined the cost of one hand towel and one bath towel.
According to the question:
Let the hand towels be h and bath towels be b.
Therefore, equation of first hotel is
27h + 48b = 540........(1)
Equation of second hotel is
50h + 24b = 416.........(2)
Now, solving both equation for h and b.
Equation (2) multiplying by -2.
-100 h -48 b = - 832..................(3)
Now, solve equation (1) and (3)
27h + 48b = 540 and -100h - 48b = - 832
⇒ -73 h = - 292
⇒ h = -292 / -73
⇒ h = 4
Therefore, the cost of 1 hand towel is $4.
Now, putting the value of h = 4 in equation (1).
⇒ 27(4) + 48b = 540
⇒ 108 + 48b = 540
⇒ 48b = 540 - 108
⇒ 48b = 432
⇒ b = 432/48
⇒ b = 9
Therefore, the cost of 1 bath towel is $9.
Thus, the cost of one bath towel is $9 and one hand towel is $4.
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Determine if true:
4x8=36-4
Answer:
True
Step-by-step explanation:
4x8=32
4x8=3236-4=32
Hence, the equation is true.
What is the range for the possible side length AB of ABC?
Answer:
2 < AB < 18
Step-by-step explanation:
Answer:
The range is from [tex]18[/tex] to [tex]2[/tex] (greatest to least)
[tex]2 < x < 18[/tex]
Step-by-step explanation:
we know that
The triangle inequality theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
Let
x-----> the length of the third side AB of triangle ABC
Applying the triangle inequality theorem
case A)
[tex]8+10 > x[/tex]
[tex]18 > x[/tex]
Rewrite
[tex]x < 18[/tex]
case B)
[tex]8+x > 10[/tex]
[tex]x > 10-8[/tex]
[tex]x > 2[/tex]
The solution for the range of possible side lengths of the third side is the interval
[tex](2,18)[/tex]
so
[tex]2 < x < 18[/tex]
All real numbers greater than [tex]2[/tex] and less than [tex]18[/tex]
The number [tex]2[/tex] and the number [tex]18[/tex] are not included in the solution
can somebody help me with this question? please and thank you
the answer to your question is 72
A survey determined that 39% of the students at Lake Middle like math. There were 400 students in the cafeteria on Thursday. What is a good estimate for the number of students in the cafeteria who like math?
Answer:
math organization and the other one day is the best way to get a runner up
11(u-4)
remove the parentheses
Answer: 11u - 44
Step-by-step explanation:
11u - 44.
You have to distrubute the 11 to everything inside the parenthesis. So it becomes 11*u or 11u and 11*-4 or -44.
Answer:
11u - 44
Step-by-step explanation:
11(u - 4)
We have to distribute
(11 × u) + (11 × -4)
11u - 44
Select the correct answer.
A team of researchers is monitoring the population of crickets in a particular town. They do not know exactly how many crickets are remaining, but the model they use represents the minimum number of crickets remaining in the town.
According to their model, the minimum number of the species remaining, in thousands, multiplies by 10 every month. The researchers determine that right now, the population of crickets is at least 5 thousand. Once the minimum population reaches 1 million, measures are taken to stop the increase in population.
If P represents the actual population of crickets in the town, in thousands, and t represents the time, in months, which of the following systems of inequalities can be used to determine the possible number of crickets in the town over time?
Answer:
P>_5(10)^t
P<_1,000
Step-by-step explanation:
The mechanic does 4 oil changes in 2 hours. How many oil changes can the mechanic do in 8 hours?
Answer:
16.
Step-by-step explanation:
^
Answer:
The mechanic does 4 oil changes in 2 hours. How many oil changes Can the mechanic do in 8 hours. My answer is16 oil changes. 4 x 2 =8 and 8+8=16.
Step-by-step explanation:
One angle in an obtuse isosceles triangle measures 40°. What are the measures of the other two angles?
40° and 120°
70° and 70°
40° and 100°
80° and 80°
Answer:
40° and 100°
Step-by-step explanation:
An obtuse triangle has one obtuse angle, or an angle that measures more than 90° but less than 180°. Options 1 and 2 are not correct, because these are acute angles.
So, one of the angles must be 40°, and the other may be 100° or 120°.
The measures of the angles in a triangle add up to 180°
40° + 40° + [tex]x[/tex] = 180°
80° + [tex]x[/tex] = 180°
[tex]x[/tex] = 180° - 80°
[tex]x[/tex] = 100°
The other two angles are 40° and 100°.
A cyclist bikes a certain distance in 25 minutes,
How long would it take a pedestrian to travel the same distance
if he travels 2 = times slower than the cyclist?
Answer:
12.5 minutes
Step-by-step explanation:
Since the cyclist is biking a certain distance in 25 minutes, (which we don't know), and the pedestrian is traveling 2 times slower,
the speed of the pedestrian would be 25/2
25 / 2 = 12.5 minutes
pls help i need help
8 Connor the fruiterer sells two fruit packs.
Pack 1: 10 apples and 5 mangoes ($12)
Pack 2: 15 apples and 4 mangoes ($14.15)
Determine the cost of 1 apple and 5 mangoes.
(Simultaneous equations) pleaseeee help me test tomorrow
The cost of 1 apple and 5 mangoes is $6.15.
Let's look at how to form and solve simultaneous equations in a word problem.
State assumption and define variables:Assuming that the cost of each apple and mango is equal in both packs.
Let the cost of an apple be a and that of a mango be m.
Write equations based on given information:10a +5m= 12 -----(1)
15a +4m= 14.15 -----(2)
Solve by elimination:Steps for solving equations with two variables
Ensure that the magnitude of the coefficients of one of the term is equal in both equationsEliminate the term with the chosen term through subtraction or additionSolve for the other termSubstitute the value of the term found in (3) to find the value of the second termWorking
Here, I am making the value of the coefficient of m constant.
(1) ×4:
40a +20m= 48 ----(3)
(2) ×5:
75a +20m= 70.75 -----(4)
Moving on to step 2, we can eliminate the m term by subtracting equation (3) from (4). When the sign of the terms are equal, we use subtraction to eliminate the term. On the other hand, if one of the sign is positive and the other is negative, adding the two equations together will eliminate the term (provided that you have already ensured that the magnitude of the coefficient is equal).
(4) -(3):
75a +20m -(40a +20m)= 70.75 -48
Expand:
75a +20m -40a -20m= 22.75
Simplify:
35a= 22.75
Let's continue with step 3, where we solve for a.
a= 22.75 ÷35
a= 0.65
The cost of an apple is $0.65.
Now, moving on to step 4!
Substitute a= 0.65 into (1):
10(0.65) +5m= 12
6.5 +5m= 12
5m= 12 -6.5
5m= 5.50
5 mangoes costs $5.50.
Cost of 1 apple and 5 mangoes
= $0.65 +$5.50
= $6.15
Thus, the cost of 1 apple and 5 mangoes is $6.15.
Use the spinner below to find the probability of getting the following in a single spin p(9 or 2)
Answer:
1/6 or 0.1667
Step-by-step explanation:
Probability of one number out of 12 is 1/12. So the probability of getting either 9 or 2 is 2/12=1/6
How many cubes with edge lengths of 1/4 in. will it take to fill the prism?
56 cubes
375 cubes
6000 cubes
Answer:
1560
Step-by-step explanation:
First (2 1/2)/(1/4) = (5/2)(4) = 20/2 = 10
Next, 3/(1/4) = 3(4) = 12
Lastly, (3 1/4)/(1/4) = (13/4) x 4 = 52/4 = 13
This means we need 10 rows of 12, 13 high. 10(12)(13) = 1560 cubes.
Another way is to multiply 2 1/2 x 3 x 3 1/4 = 5/2 x 3 x 13/4 = 195/8
A 1/4 inch cube is 1/4 x 1/4 x 1/4 for a volume of 1/64
(195/8)/(1/64) = (195/8)(64) = 1560 cubes.
(2x – 4) and ( 5x²-2x+6)
Answer:
10x³ - 24x² + 20x - 24
Step-by-step explanation:
2x (5x² - 2x + 6) - 4 (5x² - 2x + 6)
10x³ - 4x² + 12x - 20x² + 8x - 24
10x³ - 24x² + 20x - 24
I hope this helps!
A shipping company charges a flat rate of $3 and 1 cent for every mile traveled. What is the initial value and the rate of change?
Answer:
initial value = 3
rate of change = 0.01
Step-by-step explanation:
we can represent this as a linear equation:
y = 0.01x + 3
the initial value is the value of y when x = 0; we can find this by setting x to zero and evaluating for y, which gives us 3. Our initial value is 3.
The rate of change, of slope of this graph, is 0.01, as it is the constant multiplier of x.
Hare Krishna! :)
A basket contains 8 oranges and 2 pears, the fruit are picked at random from one after assuming the fruits are not replaced. (a). Draw a probability tree to show the possible outcome to show the 3 picks. (b). Show the probability of picking all oranges and pears and an orange in that order. (c). Find the probability of picking at least two orange
Answer:
StepStep-by-step-by-step explanation:
What is the distance between (2, -4) and (9,-4)?
8 units
11 units
O units
7 units
Answer:
7 units
Step-by-step explanation:
If you want to get from (2, -4) to (9, -4) you have to move 7 units to the right. (9 - 2 = 7)
Answer:
7 units.
Step-by-step explanation:
i need help with this question asap pls
Answer:
0.01
Step-by-step explanation:
0.0
Change 39 square yard to feet
Answer:
351 squared feet
Step-by-step explanation:
multiply by 9
Which equation represents the graphed function?
What is the slope of the line that passes through the points (1,1) and (4,4)? Write your answer in simplest form.
Answer:
The slope is 1.
Step-by-step explanation:
Slope is (y2-y1)/(x2-x1). Plug in the given points. (4-1)/(4-1) is 3/3. This reduces to 1. The slope of the line is 1.
simplify (2x+4÷3) ×6x÷x+2
Answer:
12x+10
Step-by-step explanation:
pls mark brainliest
One graphic designer takes 3 hours to design a logo. Her less experienced
colleague takes 4 hours to design a logo. How many hours would it take them to
design a total of 7 logos if they both
start working at the same time?
It takes them 12 hours to design a total of 7 logos if they both start working at the same time
RateThis is the amount per unit time.
Since one graphic designer takes 3 hours to design a logo. Her less experienced colleague takes 4 hours to design a logo, we need to find the rate at which the work is done.
The rate at which the first graphic designer works is 1 logo/3 hours = 1/3 logo/hr.Also, the rate at which the less experienced colleague works is 1 logo/4 hours = 1/4 logo/hr.So, their combined rate r = 1/3 logo/hr + 1/4 logo/hr = (4 + 3)/12 logo/hr = 7/12 logo/hr.Time to design 7 logosNow, since we require the time to desigh 7 logos, this time is T = number of logos/combined rate
= 7 logos ÷ 7/12 logo/hr
= 12 hr
So, it takes them 12 hours to design a total of 7 logos if they both start working at the same time
Learn more about time here:
https://brainly.com/question/25173515
........
.........................
Answer:
"." is a symbol called a period, it is typically used to mark the end of a sentence that has a main clause which contains a subject and a verb. In informal conversations that involve visible text ".....", which is a combination of many periods, is often used to show a long pause. This is the type seen in the question you asked.
Hope this helps!
Help me!
What is 25% of 948?
Answer:
237
Step-by-step explanation:
25 percent *948
= (25/100)*948
= (25*948)/100
= 23700/100 = 237
Help fast will give Brainlyest
Answer: 64
Step-by-step explanation:
a boat dealer sells 5 fishing boats for every 4 speed boats it sells
Answer:
Fishing boats - 5 10 15 20 25 30 35 40 45 50 55 60 65 70
Speeed Boats - 4 8 12 16 20 24 28 32 36 40 44 48 52 56
Thanks!
for some reason, your whole question isn't seen, you didn't type it in, so I just made this chart for you!
Which of the following is not a linear function?
Answer: B
Step-by-step explanation:
This is a vertical line, meaning it fails the vertical line test, and thus cannot be a function.