Answers
Kentucky: 19800.41
Ohio: 12102.75
Related Questions
Trina earns $28.50 tutoring for 3 hours. Write an equation relating her earnings m to the number of hours h she tutors. Assuming the situation is proportional, how much would Trina earn tutoring for 2 hours? for 4.5 hours?
Answers
28.50 divided by 3 = 9.50
Trina earns $9.50 for every hour she tutors
m = 9.5h
now just substitute 2 for h
m = 9.5(2)
m = $19
now substitute 4.5 for h
m = 9.5(4.5)
m = $42.75
Trina earns $19 for 2 hours and $42.75 for 4.5 hours
i hope this helps!!
The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the shirts they ordered, to earn a total of $1,750. After the first week of the fundraiser, they sold 1/3 of the short-sleeved shirts and 1/2of the long-sleeved shirts, for a total of 100 shirts.
This system of equations models the situation.
5x + 10y = 1,750
1/3x + 1/2y = 100
Let x represent the number of short-sleeved shirts ordered and let y represent the number of long-sleeved shirts ordered.
How many short-sleeved shirts were ordered?
How many long-sleeved shirts were ordered?
Answers
100 long-sleeved shirts
Answer:
150 short-sleeved shirts and 100 long-sleeved shirts.
Step-by-step explanation:
We will use elimination to solve this system of equations. We will make the coefficients of x the same in order to eliminate them; to do this, we must multiply the bottom equation by 15 (1/3 of 15 is 5, so 15(1/3) = 5):
[tex]\left \{ {{5x+10y=1750} \atop {15(\frac{1}{3}x+\frac{1}{2}y=100)} \right. \\\\\left \{ {{5x+10y=1750} \atop {5x+7.5y=1500}} \right.[/tex]
Subtract the second equation from the first one:
[tex]\left \{ {{5x+10y=1750} \atop {-(5x+7.5y=1500)}} \right. \\\\2.5y=250[/tex]
Divide both sides by 2.5:
2.5y/2.5 = 250/2.5
y = 100
Substitute 100 in for y in the first equation:
5x+10(100) = 1750
5x+1000 = 1750
Subtract 1000 from both sides:
5x+1000 - 1000 = 1750 - 1000
5x = 750
Divide both sides by 5:
5x/5 = 750/5
x = 150
You made two deposits to your bank accounts this month. One deposit was $17.92, and the second deposit was $15.33. Your balance at the end of the month is $72.31, and you made no withdrawals. Which expression shows your balance at the beginning of the month?
Answers
$72.31 is the total amount AFTER ADDING TWO DEPOSITS
So, if we want to know the amount before deposits, we just need to take the total of previous two deposits
The expressions that show your balance would be
$72.31 – $17.92 – $15.33; $39.06
The library has 2,000 books for sale.The books are sorted into nonfiction, fiction, and children's books. The children's books number 500. Also, there are 200 more fiction books than nonfiction books. How many fiction books and nonfiction books are for sale in all? Please, Explain all the directions on how you got your answer.
Answers
Hope This Helps!
1.) Each time a ball hits the ground, it bounces back to 2/3 of its previous height. On its second bounce, the ball reaches a height of 12 in. What was the balls original height?
2.) A runner jogs on a 1/4-mi track. How many miles does the jogger run in 18 laps?
Thanks!
Answers
-7.5 (x - 3) = 3.75
what is the value of x ?
Answers
-7.5 x + 22.5 = 3.75
-7.5 x = - 18.75
x = 2.5
hope it helps
Answer: The required value of x is 2.5.
Step-by-step explanation: We are given to find the value of x in the following equation :
[tex]-7.5(x-3)=3.75~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the value of x, we need to solve the given equation (i).
The solution of equation (i) is as follows :
[tex]-7.5(x-3)=3.75\\\\\\\Rightarrow x-3=\dfrac{3.75}{-7.5}\\\\\\\Rightarrow x-3=-0.5\\\\\Rightarrow x=3-0.5\\\\\Rightarrow x=2.5.[/tex]
Thus, the required value of x is 2.5.
slope is -2 and (1,1) is on the line
Answers
Kate's golf score was 1 less than three fourths of Greg's golf score. If the sum of their scores was 153, find Kara's hold score.
Answers
Answer: Kate's score is 65.
Step-by-step explanation: Given that Kate's golf score was 1 less than three fourths of Greg's golf score and the sum of their scores was 153.
We are to find Kate's score.
Let x and y represents Greg's score and Kate's score respectively.
Then, according to the given information, we have
[tex]y=\dfrac{3}{4}x-1~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
and
[tex]x+y=153\\\\\Rightarrow x+\dfrac{3}{4}x-1=153\\\\\\\Rightarrow \dfrac{7}{4}x=154\\\\\Rightarrow \dfrac{x}{4}=22\\\\\Rightarrow x=22\times4\\\\\Rightarrow x=88.[/tex]
From equation (i), we get
[tex]y=\dfrac{3}{4}\times88-1=66-1=65.[/tex]
Thus, Kate's score is 65.
Susan can buy 312312 lb of strawberries for $7.00. How many pounds of strawberries can she buy for $1.00? Express you answer as a fraction in simplest form
Answers
[tex] \frac{312,312 lb}{7.00} [/tex]
Now, all you would have to do it solve it.
[tex] \frac{312,312 lb}{7.00} [/tex] = [tex] \frac{44616 lb}{1.00} [/tex]
You can buy 44616 lb of strawberries for one dollar.
I hope this helps!
Answer:
are you sure it is that large number and not 3 1/2
Step-by-step explanation:
Kendra is choosing bouquets of flowers for table centerpieces. She decides to buy 40 bouquets for $120 because she thinks that price is a better value than 40 bouquets for $2.50 each. Explain Kendra’s error.
Answers
So each bouquet is $3 if she buys 40 bouquets for $120
Therefore 40 bouquets for $2.50 each is less expensive
Hope this helps!! :)
The Kendras error is that she doesn't know multiplication.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
Given that Kendra buy 40 bouquets for $120
So each bouquet cost 120/40 = $3 so each bouquet cost $3.
By the second option, she will get bouquets at $2.50 only it is an error of Kendra.
For more information about multiplication
brainly.com/question/14059007
#SPJ6
Helppppp please. I’m so bad at thus
Answers
y = 4x + 4
44 = 4(10) + 4
44 = 40 + 4
44 = 44
This is your answer. I hope this helps love! :)
The viewership of a television show has decreased form 5.1 million viewers to 3.5 million viewers per episode. Find the percent of decrease in viewership to the nearest percent.
Answers
Final answer:
To calculate the percent decrease in viewership, subtract the final number of viewers from the original number, divide that by the original number, and multiply by 100, rounding to the nearest percent. The viewership decreased from 5.1 million to 3.5 million, a 31% decrease.
Explanation:
The subject of this question is Mathematics, specifically relating to percentages. To find the percent decrease in viewership from 5.1 million to 3.5 million:
Calculate the decrease in viewers: 5.1 million - 3.5 million = 1.6 million.
Find the percentage: (1.6 million / 5.1 million) × 100 = 31.37%.
Round to the nearest percent: 31.37% ≈ 31%.
Therefore, the viewership has decreased by approximately 31%.
Liam and Harper are racing on a track. Liam runs 4 miles per hour and gets a 0.25 miles head start. Harper runs 0.5 mile per hour faster than Liam. If Harper and Liam run the same distance, how many hours, x, do they run.
Answers
The time 'x' that both Harper and Liam are running for is 0.25 hours. This is calculated by setting the total distance covered by both runners equal to each other and solving for 'x'.
Explanation:The subject of your question is Mathematics, specifically dealing with concepts of race pacing and distance calculations. Here's an answer to your question:
Let's denote the time it takes for both Harper and Liam to finish the race as 'x' hours. Given that Liam runs at 4 miles per hour and has a 0.25-mile head start, the total distance he runs is 4x + 0.25 miles. Harper, on the other hand, runs at 4.5 miles per hour (0.5 mile per hour faster than Liam) for 'x' hours, so Harper runs a total of 4.5x miles.
Since both runners run the same total distance, we can set these two equations equal to each other and solve for 'x':
4x + 0.25 = 4.5x
Solving this equation gives x = 0.25 hours.
Learn more about race pacing here:https://brainly.com/question/11466914
#SPJ2
art supplies in washington DC cost 28 dollars if the sales tax is 6 percent what was the total cost of supplies
Answers
28 + 1.68 = 29.68 (total cost)
A window has a radius of 12 inches. What is the circumference of the window? Use 3.14 to approximate pi. Round your answer to the nearest whole number.
Answers
The radius has been given to you so...
π*12² = 452.38
The area is 452.38 inches²
You can use π*2r to work out the circumference;
π*24 = 75.3 inches
Hope this helps! :)
Which value for x makes the sentence true?
5(9x-6) + 15 = 210
A. 8
B. 10
C. 2 11/17
D. 5
Best full explanation gets brainiest, rating and thx.
PLEASE DONT ANSWER IF YOU CANT EXPLAIN!
Answers
5 (9x-6)+15=210
5×9×5=225
5×6=30
225-30=195
195+15=210
see,simple enough to understand
And it is explained step by step
I have a fair six sided dice numbered 4,9,12,16,20 and 24 what is the probability of rolling a multiple of 4
Answers
A student reads 65 pages per hour
Time/Pages= 3/195 5/322 9/585 10/650
Is this a porportional relationship?
Answers
322/5 = 64.4 pages per hour
No, this is not a proportional rel. If it were, the const. of prop. would be 65/pages per hour in every case.
How many solutions does the equation have 5(n-2)=5n-10
Answers
5n - 10 = 5n-10
ALL REAL NUMBERS
Belinda wants to buy 5 pictures to hang in her family room . If each picture costs $30.90 how much will it cost her to buy 5? Justify your answer by using distributive property
Answers
Use long division to find the quotient of 405 and 27
Answers
27|405 27*1=27
- 27 27*5=135
-------
135
-135
--------
0
Answer is 6 :v
Use the formula F = 1.8C + 32 to convert -10C into Fahrenheit
Answers
To find the -10°C in Fahrenheit, you just need to input the information we have into the formula:
[tex]F=1.8C+32[/tex]
Input.
[tex]F=1.8(-10)+32[/tex]
Simplify.
[tex]F=-18+32[/tex]
The Answer Is:
[tex]F=14[/tex]
-10°C would be 14°F.
Hope this helps.
-Benjamin
The value of the temperature -10°C is equivalent to 14°F.
The process of changing a quantity's unit of measurement to another one that reflects the same physical amount is known as unit conversion.
To convert -10°C to Fahrenheit using the formula F = 1.8C + 32, follow these steps:
Start with the given temperature in Celsius, which is -10°C. Plug in -10 for C in the formula:
F = 1.8(-10) + 32.
Simplify the equation: F = -18 + 32.
Combine like terms:
F = 14.
Therefore, -10°C is equivalent to 14°F.
To know more about unit conversion follow
https://brainly.com/question/23274497
#SPJ6
What is a FREAKIN ratios
Answers
pretty simple
compares two amounts like 4:5 is a ratio
there are 9 students that play tennis. if 75% of the students do not play tennis, how many are in the class
Answers
100 : 25 = 4
4 * 9 =
36 students
Why there must be at least two lines on any given plane
Answers
Yolanda purchased a prepaid phone card for $25 . Long distance calls cost 23 cents a minute using this card. Yolanda used her card only once to make a long distance call. If the remaining credit on her card is $22.24 , how many minutes did her call last?
Answers
Two examples that have a gcf of 8
Answers
16 & 24
4 & 16
16 & 32
hope this helps.
40 pounds of sugar are repackaged of 1/16 pounds each. how many packet of sugar are there?
Answers
So, 16 x 40 = 640.
Final answer:
To find the number of sugar packets from 40 pounds, divide by the weight per packet (1/16 pound). The calculation is 40 divided by 1/16, resulting in 640 packets.
Explanation:
To determine how many packets of sugar you can make from 40 pounds of sugar when each packet is 1/16 pounds, you would divide the total amount of sugar by the amount each packet contains. This is a basic math problem involving division.
Here's the calculation:
First, we establish that there are 40 pounds of sugar that need to be divided into packets.
Next, since each packet will contain 1/16 of a pound of sugar, we divide the total pounds of sugar by the weight of each packet.
The calculation is 40 pounds \/ (1/16) pounds per packet, which simplifies to 40 × 16 packets.
After performing the multiplication, the result is 640 packets of sugar.
Therefore, you would have a total of 640 packets of sugar if you repackage 40 pounds of sugar into 1/16 pound packets.
A recipe calls for 2/3 cup of brown sugar.marilyn is making 5 batches.how many cups of brown sugar should Marilyn use?
Answers
A card is drawn from a standard deck and a letter is chosen from the word incredible. What is the probability of drawing a king then getting an i?
Answers
Step-by-step explanation:
A card is drawn from a standard deck. A standard deck of cards has 52 cards. Its been asked if it is a king. There are 4 kings in a deck, so probability is = [tex]\frac{4}{52}[/tex] or [tex]\frac{1}{13}[/tex]
Simultaneously, a word is chosen from 'incredible' that has 10 letters. We have been asked if the letter is 'i'. In the given word, we have 2 'i's. So, probability is [tex]\frac{2}{10}[/tex] or [tex]\frac{1}{5}[/tex]