can somebody help me with this question? please and thank you
the answer to your question is 72
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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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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.
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
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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:
what is 2 6/7 as an improper fraction
Answer:
20/7
Step-by-step explanation:
Check the picture
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
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
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:
PLS HELP I WILL MARK BRAINLIEST!!!
In a game, for every 3 enemies defeated, you earn 5 points. If you defeated 27 enemies, how many points would you have earned?
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
why does 0.5g equal 500 mg
Answer:
in kg 1.1 equals to 1gram and 100mg
so in 0.5 equals to 500 mg
hope it helps (θ‿θ)
Which equation represents the graphed function?
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°.
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:
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!
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.
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
i need help with this question asap pls
Answer:
0.01
Step-by-step explanation:
0.0
pls help i need help
........
.........................
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!
The average length of a female dolphin is about 181 inches (in).
What is this length in feet (ft) and inches (in)?
The length is ft in.
Answer:
15 ft 1 in
Step-by-step explanation:
To convert inches into feet, we divide by 12.
12 goes into 181 fifteen times, so the # of feet is 15 feet.12 x 15 = 180.181 - 180 = 1, so the # of remaining inches is 1 inchTherefore, the answer is 15 ft 1 in.
Ruth drove 60 miles in one hour. At this rate, how many miles will she drive in 5 hours?
Answer:
Knowing that it's 60 miles per hour, that would mean we multiply 60 x 5
Meaning, it would be 300 miles in five hours
Step-by-step explanation:
Answer: 300 miles
Step-by-step explanation: 60 * 5 = 300
(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!
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:
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! :)
Determine if true:
4x8=36-4
Answer:
True
Step-by-step explanation:
4x8=32
4x8=3236-4=32
Hence, the equation is true.
9. Which of these decimals is the LEAST in value?
0.511 0.453 0.552 0.044
O 0.453
0.511
0.552
0.044
Answer:
0.044 os the answer. brainiest pls?
Answer:
The last one 0.044
Step-by-step explanation: