Answers
Using the histogram we see that there were 2+12+11+9=34 students that ran. Out of those, 2+12=14 ran in 12 minutes or less (the first two bars).
14/34 = 0.411 = 41%.
Related Questions
the number of club members is at least 25
Answers
i think your answer is
x(number of club members) is equal(=) or larger(>) to 25
im not sure its right though
Natalie picked 135 berries in 15 minutes. If she continues picking at that rate, how many total minutes will it take her to pick 486 berries?
Can you please give a step by step explanation? Thank you.
Answers
A cleaning company charges x dollars per hour to clean floors and y dollars per hour to clean the rest of a house.
-When the company spends 2 hours to clean floors and 3 hours to clean the rest of a house, the total charge is $84.
-When the company spends 1 hour to clean floors and 4 hours to clean the rest of a house, the total charge is $87.
Which ordered pair represents the hourly charges to clean floors and to clean the rest of the house?
A. (12, 20)
B. (15, 18)
C. (18, 15)
D. (20, 12)
Note: Please show work. My teacher checks it.
Answers
Solution:
First, let's set the variables first.
X = dollars per hour to clean the floor
Y = dollars per hour to clean the rest of the house
For the first statement, "2 hours to clean floors and 3 hours to clean the rest of a house, the total charge is $84"
We can put it into an equation.
2X + 3Y = 84 ⇒ equation 1
For the first statement, "1 hour to clean floors and 4 hours to clean the rest of a house, the total charge is $87'
X + 4Y = 87 ⇒ equation 2
Multiply first equation 2 by 2 to make the coefficient of both equations 1 and 2 the same.
Using elimination method in solving for x and y,
(equation 1) 2X + 3Y = 84
(equation 2) 2(X + 4Y) = 87
2X + 8Y = 174 ⇒ equation 3
Next, subtract equation 3 from equation 1.
2X + 3Y = 84
- (2X + 8Y = 174)
-------------------------
- 5Y = -90
Y = 18
Find X when Y = 18
@ equation 1 : 2X + 3Y = 84
2X + 3(18) = 84
2X + 54 = 84
2X = 84 - 54
2X = 30
X = 15
The answer is in ordered pairs of cleaning the floors and to clean the rest of the house. So, in the form (X,Y).
Answer: (15,18)
The hourly charges to clean floors and to clean the rest of the house are $15 and $18, respectively. We determine this by setting up a system of equations from the provided scenarios and solving for x and y.
To solve for the hourly charges to clean floors (x) and to clean the rest of the house (y), we need to set up two equations based on the information provided:
2x + 3y = 84 (from the first scenario)1x + 4y = 87 (from the second scenario)Let's solve this system of equations step by step.
Step 1: From the second equation, we can express x in terms of y:
x = 87 - 4y
Step 2: Substitute this expression for x in the first equation:
2(87 - 4y) + 3y = 84
Which simplifies to:
174 - 8y + 3y = 84
Combining like terms gives us:
-5y = -90
Step 3: Solve for y:
y = 18
Step 4: Now, plug the value of y back into the expression for x:
x = 87 - 4(18)
x = 15
Therefore, the hourly charges to clean floors and to clean the rest of the house are $15 and $18 respectively, which corresponds to option B. (15, 18).
One ounce is about the same as 0.06 pound. What is 0.06 written as a fraction?
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Answer:
[tex].06 = \frac{6}{100} = \frac{3}{50} [/tex]
How do u solve 63=-9d?
Answers
you divide both side by -9
sooo...
d = -7
Val’s go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 1 gallon of gas, to fill the go cart tank. 1 gallon = 231 inched cubed
Answers
[tex]v = bh[/tex]
[tex]v = (15.4 \times 10) \times 3[/tex]
[tex]v = {462} \: inches \: ^{3} [/tex]
~~
[tex]462 \div 231 = 2[/tex]
~~
It will take 2 full gas cans to fill it up!!
~~
I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at random from the bag.
What is the probability that the marble drawn will not be blue?
A.) 29
B.) 34
C.) 79
D.) 78
Answers
Number of marbles that aren't blue = 36 - 8 = 28
Hence the probability of not drawing a blue marble is [tex]\dfrac{28}{36}=\dfrac79[/tex]
Answer:
C
Step-by-step explanation:
I got it right and here is proof
If it is blurry, just press it and it will be non-blurry
Which expression represents the product of 3 and (5/4 n + 1.8)
Answers
The correct expression is:
[tex]\[ \text{C) } 3.75n + 5.4 \][/tex]
To find the product of 3 and [tex]\( \left(\frac{5}{4}n + 1.8\right) \)[/tex] , we multiply 3 by each term inside the parentheses:
[tex]\[ 3 \times \frac{5}{4}n = \frac{15}{4}n \][/tex]
[tex]\[ 3 \times 1.8 = 5.4 \][/tex]
Now, combine the two results:
[tex]\[ \frac{15}{4}n + 5.4 \][/tex]
To express this in a more common form, we can rewrite [tex]\( \frac{15}{4} \)[/tex] as 3.75:
[tex]\[ 3.75n + 5.4 \][/tex]
So, the correct expression is:
[tex]\[ \text{C) } 3.75n + 5.4 \][/tex]
Complete correct question:
Which expression represents the product of 3 and (5/4n + 1.8)?
A) 5.55n
B) 9.15n
C) 3.75n + 1.8
D) 3.75n + 5.4.
what value is most affected by an outlier, the median or the ranhe? explain. can you see these effects in a dot plot
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write the next number in this pattern. 10, 11, 20, 21, 30, 31
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if LuxRide's revenues in London grow by 20% next year, what will their market share be?
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Since we don't know the actual amount of their current market share, we will have to use a variable. Let x = their current market share.
The problem states that it will grow by 20% or 0.2. Therefore, we just need to multiply the current amount, x, by 1 plus the extra 20% or just 1.2.
A baseball has a diameter of 5.1 inches. Find the volume of the baseball. Round your answer to the nearest tenth. Use 3.14 for pi
Answers
r = 1/2 d
r = 1/2 5.1
r = 2.505
V = 4/3 π r^3
V = 4/3 π 2.505^3
V = 65.8
I hope this helps!
The stem-and-leaf plot represents the distances, in miles, people in an office drive to work each morning.
How many people drive 20 miles or fewer to work?
Enter your answer in the box.
Answers
You can tell, by looking at the number of numbers across from the "1" in the "Stem" section.
Hope this helps!:)
~Scarlett
Answer: it is 7.7
Step-by-step explanation:
trust me the person abuv me is right i did the quiz and got 100% i swear!
give them a round of applause! wooo i would give branliest but it dost let me.
Help me on this question
Answers
And that means anything can be a solution
Determine if the side lengths 2.1in,4in,7.9in form a triangle
Answers
They don't meet the requirements of the triangle inequality.
2.1 + 4 = 6.1 < 7.9
The triangle inequality requires the sum of any two sides be greater than the third side.
NEED HELP ASAP
Which of the following expressions is equivalent to (-7)(-7)(-7)?
3 · -7
-7 · 3
(-7)3
3-7
According to the order of operations, which of the following operations should be completed first in the following expression?
2(5 - 3)^2 + 6^2
multiply (5 - 3) by 2
square (5 - 3)
simplify (5 - 3)
add (5 - 3) to 6^2
Select all that apply.
Which expressions are equal to "five to the third power"?
5^3
3 · 3 · 3 · 3 · 3
5 · 5 · 5
125
15
243
3^5
The expression -8 · -8 · -8 · -8 can be expressed as _____.
-8^4
(-8)^4
-(8^4)
What is the value of -6^2?
-36
36
-12
12
Find the value of |5| - 4(3^2 - 2).
-11
-33
7
-23
Evaluate 8 ÷ -2 · 4^2 + 9.
-100
-55
73
-23
Simplify -5^2 + 8|-1| + (-3).
30
14
-20
-36
Answers
2) PEMDAS; simplify (5-3)
3) 5^3, 5x5x5 and 125
4) -8^4
5) 36
6) 7
7) -100
8) 30
There ya go! Pretty sure they're all right!
Answer:
The answers are solved below.
Step-by-step explanation:
we have to solve the given expressions
Part A: The expression (-7)(-7)(-7)
[tex] (-7)(-7)(-7)=(-1)^37^3[/tex]
Option 3 is correct
Part B: [tex]2(5 - 3)^2 + 6^2[/tex]
First step to solve the above expression is to simplify (5-3) by BODMAS rule then to square the simplification.
Option 3 is correct.
Part C: To choose the expression "five to the third power"
"five to the third power" is
[tex]5^3=5.5.5=125[/tex]
All 3 represents the expression "five to the third power"
Option 1,3,4 are correct.
Part D: The expression -8 · -8 · -8 · -8
The above expression can be written as
[tex](-8)^4[/tex]
Option 2 is correct
Part E: [tex]\text{The value of } -6^2[/tex]
[tex]-6^2=-(6\times 6)=-36[/tex]
Option 1 is correct
Part F: [tex]\text{The value of } |5| - 4(3^2 - 2)[/tex]
[tex]|5| - 4(3^2 - 2)=5-4(9-2)=5-4(7)=5-28=-23[/tex]
Option 4 is correct.
Part G: Evaluate [tex]\frac{8}{ -2}\times 4^2 + 9[/tex]
[tex]\frac{8}{ -2}\times 4^2 + 9=-4\times 16+9=-64+9=-55{ [/tex]
Option 2 is correct.
Part H: Simplify [tex]-5^2 + 8|-1| + (-3)[/tex]
[tex]-5^2 + 8|-1| + (-3)=-25+8-3=-17-3=-20[/tex]
Option 3 is correct.
What is 56% written as a ratio?
Answers
That’s the proper fraction
If it asked for improper, it can be 56/10 or 56/1 etc
You can write it as:
56:100, since 56% is out of 100.
Simplify it by 2.
28:50
14:25 <=== simplest ratio
I hope this helps!
~kaikers
compare the amount of sand in the top cone of the hourglass to the amount there will be when the height of the sand in the top cone is only one inch.
Answers
To compare the amount of sand in the top cone of an hourglass when the height is one inch, calculate the volume using the formula volume = length × width × height. Compare the original volume to the new volume with a height of one inch to determine the difference in the amount of sand.
Explanation:The question asks to compare the amount of sand in the top cone of an hourglass to the amount when the height of the sand in the top cone is only one inch. In an idealized model of the hourglass, the volume of the stack of sand in the top cone can be calculated using the formula volume = length × width × height. From the given information, the volume of the stack is 9 in³. To find the amount of sand when the height is one inch, we can calculate the new volume using the same formula with the new height.
Original volume of stack = length × width × height = 9 in³New volume of stack with a height of one inch = length × width × 1 in.By comparing the original volume of 9 in³ to the new volume with a height of one inch, you can determine the difference in the amount of sand in the top cone of the hourglass.
Learn more about hourglass sand amount here:https://brainly.com/question/13368190
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The amount of sand in the top cone when the height of the sand is h is h times the amount of sand there will be when the height of the sand is only one inch.
The volume of a cone is given by the formula:
V = (1/3)πr²h
where r is the radius of the base of the cone and h is the height of the cone.
If the height of the sand in the top cone is currently h, then the volume of the sand in the top cone is:
V₁ = (1/3)πr²h
When the height of the sand in the top cone is only one inch, the volume of the sand in the top cone will be:
V₂ = (1/3)πr²(1 inch)
To compare the two volumes, we can divide V₁ by V₂
V₁ / V₂ = (1/3)πr²h / (1/3)πr²(1 inch)
V₁ / V₂ = h / 1 inch
Therefore, the amount of sand in the top cone when the height of the sand is h is h times the amount of sand there will be when the height of the sand is only one inch.
For such more question on height
https://brainly.com/question/28990670
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Which of the following is the inverse of the statement "if I like carrots, then I like vegetables
Answers
Answer:
f I don't like carrots, then I don't like vegetables
Step-by-step explanation:
Help me asap please !!
Answers
One of the legs is 6 miles and the other leg is 5 miles.
The pythagorean theorem states that a² + b² = c².
a = 6 and b = 5.
6² + 5² = c²
Square 6 and 5.
36 + 25 = c²
Add the two together.
61 = c²
Find the square root of both. Since 61 is not a square number, leave it in radical form or you could approximate it. I gave it to the nearest hundredth.
[tex] \sqrt{61} [/tex] = c OR 7.81 = c
Hope this helps!
If s = 1 over 2 unit and A = 12s2, what is the value of A, in square units? ____ square unit(s). (Input whole number only.)
Answers
[tex]A = 12s ^ 2 [/tex]
Where, the value of s is given by:
[tex]s = 1/2 [/tex]
So, replacing values we have:
[tex]A = 12 (1/2) ^ 2 [/tex]
Rewriting we have:
[tex]A = 12 (1/4) A = 12/4 A = 3 units ^ 2[/tex]
Answer:
the value of A, in square units is:
3 square units
Answer:
The value of A is 3 square units.
Step-by-step explanation:
Given: [tex]s=\frac{1}[2}[/tex] unit and A is given by [tex]A=12s^2[/tex]
We have to find the value of A.
Consider the given formula [tex]A=12s^2[/tex]
Put [tex]s=\frac{1}[2}[/tex]
We get,
[tex]A=12(\frac{1}{2})^2[/tex]
Simplify, we have,
[tex]A=12\cdot\frac{1}{4}[/tex]
Further simplify, we have,
[tex]A=3[/tex]
Thus, The value of A is 3 square units.
Could anyone help me with these?
Answers
Derrick is incorrect.
A yard is equivalent to 3 feet.
Thus, 20 yards will be equivalent to 60 feet.
The width is 20 yard and 2 feet. It's the same as 60 feet and 2 feet, or 62 feet. Thus, Derrick is incorrect.
Part B:
Let's calculate the area of the parking lot.
We know the width is 62 feet from part A.
The length is 30 yards, or 90 feet.
Multiply the length and width to get the area in square feet.
[tex]90 \times 62=5580[/tex]
The parking lot has an area of 5580 square foot.
It costs 2 dollars per square foot to repave the parking lot. Multiply the area by 2 dollars.
[tex]5580 \times 2=11160[/tex]
It will cost $11,160 to repave the whole parking lot.
The correct answer is the 20yd and 2ft = 62ft
Part B) Based on my first answer of there being 62 ft in the parking lot i would say all you had to do is multiply 62 by 2 which is 124
Your answer is $124
I hope I helped if so mark me as brainliest
how long will it take for the pool to completely full with water? (explain why so i understand)
Answers
To find out how much can be filled in 1 minute, take the time and divide it into the volume. We'll use the second row (2 minutes and 8 gallons.)
8/2=4. So it takes 1 minute to fill 4 gallons. Now, you just divide 4 into 120.
120/4=30
It takes 30 minutes to fill the pool up to 120 gallons.
Prove that the triangles shown below are similar and provide a similarity statement
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What is the area of sector GPH? the angle inside the circle measures 80º and the radius from p to h is 15
Answers
area of the required sector = (80/360) π * 15²
≈ 157.08
Answer:
The area of sector GPH is equal to [tex]50\pi\ units^{2}[/tex]
Step-by-step explanation:
we know that
The area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=15\ units[/tex]
substitute
[tex]A=\pi(15)^{2}=225 \pi\ units^{2}[/tex]
[tex]360\°[/tex] subtends the complete circle of area [tex]225 \pi\ units^{2}[/tex]
so
By proportion
Find the area of sector GPH
[tex]\frac{225 \pi}{360}\frac{\ units^{2} }{degrees} =\frac{x}{80}\frac{\ units^{2} }{degrees}\\ \\x=80*225\pi /360\\ \\x=50\pi\ units^{2}[/tex]
What is the area of 14km and 12km and 8km and 5km and 4km and 9km
Answers
14km and 12km
area = 14 x 12 = 168 square km
8km and 5km
area = 8 x 5 = 40 square km
4km and 9km
area = 4 x 9 = 36 square km
Final answer:
Calculate the sum of areas of squares with given side lengths to find the total area.
Explanation:
Area of a Square:
Calculate the area of each square:
14 km x 14 km = (14)² = 196 km²
12 km x 12 km = (12)² = 144 km²
8 km x 8 km = (8)² = 64 km²
5 km x 5 km = (5)² = 25 km²
4 km x 4 km = (4)² = 16 km²
9 km x 9 km = (9)² = 81 km²
Sum of Areas:
Add the areas of all squares together:
196 km² + 144 km² + 64 km² + 25 km² + 16 km² + 81 km² = 526 km²
Therefore, the total area is 526 km².
Question 5 of 5 At 7:00 a.m., the temperature was 8°C. What was the temperature at midnight if the temperature was 10° lower? A. −18° C B. −2° C C. 2° C D. 18° C
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Can somebody please help me, I’m stumped. Please explain easily to
Answers
[tex]\sf 2\dfrac{1}{2}\div\dfrac{3}{4}[/tex]
Convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:
[tex]\sf \dfrac{5}{2}\div\dfrac{3}{4}[/tex]
When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:
[tex]\sf \dfrac{5}{2}\times\dfrac{4}{3}[/tex]
Multiply the numerators and denominators together:
[tex]\sf\dfrac{20}{6}[/tex]
Convert it back to a mixed number. Six goes into twenty three times. 6 * 3 = 18. 20 - 18 = 2. So we have 3 wholes and 2 left over, or:
[tex]\sf 3\dfrac{2}{6}[/tex]
We can simplify this further, divide 2 to the numerator and denominator of the fraction:
[tex]\boxed{\sf 3\dfrac{1}{3}}[/tex]
Find the length of the leg of a 16 90 45 triangle
Answers
What is an equation that represents 4 1/4 as a sum of whole numbers and unit fractions
Answers
The equation that represents 4 1/4 as a sum of whole numbers and unit fractions is simply 4 + 1/4. This approach demonstrates the decomposition of a mixed number into its integral and fractional components.
Explanation:To represent 4 1/4 as a sum of whole numbers and unit fractions, we can break it down into its components. This fraction essentially means 4 plus 1/4. The whole number part is straightforward, and the fraction part can be represented as a unit fraction. Thus, 4 1/4 can be expressed as the sum 4 + 1/4.
In mathematics, when decomposing mixed numbers into a sum of whole numbers and fractions, it’s essential to clearly distinguish between the integral and fractional parts. For example, similar numbers like 5 1/3 would decompose into 5 + 1/3. This helps illustrate how mixed numbers can be broken into more straightforward components, making them easier to work with in various mathematical operations and providing a bridge to understanding fractional expressions and addition.
Answer:
4 1/4 = 1 + 3 + 1/6 + 1/12
Step-by-step explanation:
You want an equation that represents 4 1/4 as the sum of whole numbers and unit fractions.
Whole numbersThe whole number portion of 4 1/4 is 4. The number 4 can be represented as a sum of whole numbers (plural) several ways:
4 = 0 + 4
4 = 1 + 3
4 = 2 + 2
4 = 0 + 1 + 3
4 = 1 + 1 + 2
4 = 1 + 1 + 1 + 1
Of course, any quantity of the whole number 0 can be added to any of these sums. We have shown a couple of instances of that.
In our answer here, we choose the representation to be 4 = 1 +3.
Unit fractionsA unit fraction is a fraction with a numerator of 1. In the mixed number 4 1/4, the fraction portion, 1/4, is already a unit fraction. The problem statement here asks for a representation involving "unit fractions" (plural). We can divide 1/4 into any number of equal unit fractions:
1/4 = 1/8 + 1/8 . . . . 2 equal unit fractions
1/4 = 1/12 + 1/12 + 1/12 . . . . 3 equal unit fractions
This latter representation suggests a way to use unequal unit fractions to represent 1/4:
1/4 = (1/12 + 1/12) +1/12 = 2/12 +1/12 = 1/6 +1/12
Using these two unit fractions, our equation can be written ...
4 1/4 = 1 + 3 + 1/6 + 1/12