A recipe calls for 2/3 cup of brown sugar.marilyn is making 5 batches.how many cups of brown sugar should Marilyn use?
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.
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.
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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.
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.
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?
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
there are 9 students that play tennis. if 75% of the students do not play tennis, how many are in the class
How many solutions does the equation have 5(n-2)=5n-10
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?
Why there must be at least two lines on any given plane
Helppppp please. I’m so bad at thus
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
Answer:
are you sure it is that large number and not 3 1/2
Step-by-step explanation:
slope is -2 and (1,1) is on the line
At the first four stops, the number of students that board Mr. Tuttle’s school bus is 4, 6, 12 and 2 students, respectively, and no students exit the bus. After these four stops, the number of students on Mr. Tuttle’s school bus is 50% of its full capacity. How many students does Mr. Tuttle’s bus hold at full capacity?
A student reads 65 pages per hour
Time/Pages= 3/195 5/322 9/585 10/650
Is this a porportional relationship?
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.
-7.5 (x - 3) = 3.75
what is the value of x ?
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.
Use the formula F = 1.8C + 32 to convert -10C into Fahrenheit
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.
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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?
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]
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?
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.
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.
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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
Two examples that have a gcf of 8
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
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.
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%.
What is a FREAKIN ratios
pretty simple
compares two amounts like 4:5 is a ratio
PLZ TELL HOW U GOT THE ANSWER AND IT'S THE CIRCLED ONE PLLLLLZZZZZ
art supplies in washington DC cost 28 dollars if the sales tax is 6 percent what was the total cost of supplies
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.
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?
write the number that can be shown with this many hundreds,tens and ones 1hundreds 2 tens 18 ones?
The number which can be written from 1 hundred, 2 tens and 18 ones is 138
1 hundred = 1(100) = 1002 tens = 2(10) = 2 × 10 = 2018 ones = 1 in 18 places = 18(1) = 18The sum of the place value numbers can be obtained thus :
100 + 20 + 18 = 138Therefore, the number which can be obtained from the place value digits given is 138
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Represent the product of 22 times 26
The product of 22 times 26 is 572.
To find the product of two numbers, one multiplies the first number by the second number. In this case, we multiply 22 by 26:
\[ 22 \times 26 = 572 \]
This is a straightforward multiplication of two two-digit numbers. The result is 572, which is the answer to the question.