Annette is surveying people in the city about their interest in a new shopping mall. She found that 180 people, or 37.5% of those surveyed do not want a new mall. How many people did Annette survey?
Answer:
480 people
Step-by-step explanation:
First you would divide 180 by 37.5,
180 divided by 37.5 = 4.8
Then you multiply 4.8 with 100
4.8 times 100 =480
Therefore, Annette surveyed 480 people
We want to find the total number of people that Annette surveyed given that we know a percentage and the number that the percentage represents.
We will find that the number of people that Annette survey is 480.
To get the solution:
Let's assume that she surveyed a total of X people.
Then we can write the equivalence:
100% = X
We know that the 37.5% is equivalent to 180 people, then we can write:
37.5% = 180
The two equations are:
100% = X
37.5% = 180
Now we can take the quotient between these two equations to get:
(100%/37.5%) = X/180
Solving for X we get:
(100%/37.5%)*180 = X = 480
So the total number of people surveyed is 480.
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there are 9 students that play tennis. if 75% of the students do not play tennis, how many are in the class
find two consecutive integers whose sum is 45
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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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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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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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?
Macy is making a border out of strips of wall boarder placed end to end along the 12-foot wall in her room. Each strip is foot long.
How many strips of wall border will Macy need?
List the numbers from 50 to 60 that would make this number sentence true
Jamar is finding (-2)(-3)(-4). Find his mistake and correct it. Explain your answer.
A student reads 65 pages per hour
Time/Pages= 3/195 5/322 9/585 10/650
Is this a porportional relationship?
In a video game, a character needs to shine a light through two spinning wheels that have holes in them.The first wheel makes a complete rotation in 7 seconds.The second wheel makes a complete rotation in 9 seconds.The hole are lined up at 0 seconds.How many seconds will pass before they are lined up again?
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.
For the perfect cup of hot cocoa, Eva uses 3 scoops of hot cocoa mix, 10 miniature marshmallows, and 8 ounces of water. What is the ratio of scoops of hot cocoa to miniature marshmallows?
The ratio of 3 scoops of hot cocoa mix to 10 miniature marshmallows and 8 ounces of water. is 3:10
What is Ratio?
A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. Similarly, the ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.
Given :-
amount of cocoa scoops = 3
amount of miniature marshmallows used = 10
We have to find out the Ratio of scoops of hot cocoa to miniature marshmallows:
First we will simplify the term if there is any
Scoops of hot cocoa / miniature marshmallows = 3/10
Since, the simplification is already been done
Thus, the ratio will be:
3 : 10
Hence, The ratio of scoops of hot cocoa to miniature marshmallows is 3:10
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Corys roses grow 1 inch each month. When he planted them they were 6 inches tall. What is the initial value for the scenario described?
Q: A: The lowest elevation in the world is in the Dead Sea at 413 feet below sea level. The highest elevation in the world is Mount Everest at 29,035 feet above sea level. Which integer BEST represents the elevation of the Dead Sea
-2(x+8)=4x+10 what is the solution set of the equation
What is the solution set? −2.8x+5.6<8.4 Enter your answer in the box.
12 more than the quotient of a number t and 7 is v
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?
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%.
A red string of holiday lights blinks once every 3 seconds,while a string of blue lights blinks every 4 seconds.how many times will both sets of light blink at the same Time in 1 minute?
a cab driver charges a 15 flat fee and 1.50 per mile. How many miles can you go with 30 dollars
what is the answer to. m=ax²+bx+c,for b
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?
3. Which ordered pair is a solution of the equation y = x – 3?
(–2, 5)
(–5, 2)
(2, 5)
(5, 2)
-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.
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.
Find x
Geometry homework. Please help!
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.