The Sinclair family lives 28,512 feet away from Southside Middle School, calculated by multiplying 5.4 miles by the number of feet in one mile, which is 5,280 feet.
Explanation:The Sinclair family lives 5.4 miles from Southside Middle School. To convert this distance from miles to feet, we use the conversion factor that 1 mile is equal to 5,280 feet. To find the distance in feet, we multiply the number of miles by the number of feet in one mile:
5.4 miles imes 5,280 feet/mile = 28,512 feet.
Therefore, the Sinclair family lives 28,512 feet away from Southside Middle School.
The manufacturers of m&m's claim that 20% of the milk chocolate m&m candies are orange. find the mean and standard deviation of the sampling distribution of the sample proportion of orange m&m's for samples of size 100. use two decimal places.
What is the estimate 323 +151
Find two values of b that will make 9 x 2 + b x + 9 a perfect square trinomial.
The slope of a line is -1/3, and the y-intercept is 10/3. What is the equation of the line written in general form?
10x + 3y - 1 = 0
x + 3y + 10 = 0
x + 3y - 10 = 0
The slope of a line is -1/3, and the y-intercept is 10/3. What is the equation of the line written in general form?
Answer:
x + 3y - 10 = 0
If sale price of a shirt after giving 8% is RS.161,then find the written price? (By the written price means cost price)
To find the original cost price of a shirt on which an 8% discount was given, resulting in a sale price of Rs.161, the formula CP = Sale Price / (1 - (Discount Percent / 100)) is used, calculating the cost price as Rs.175.
If the sale price of a shirt after giving an 8% discount is Rs.161, to find the written price, or the cost price before the discount, we can use the formula for discount calculation. Let CP represent the cost price. The formula for calculating the sale price after discount is:
Sale Price = CP - (Discount Percent * CP) / 100
Here, the sale price is given as Rs.161, and the discount percent is 8%. Therefore, we can rearrange the formula to solve for CP:
CP = Sale Price / (1 - (Discount Percent / 100))
Plugging in the values gives us:
CP = 161 / (1 - (8 / 100)) = 161 / 0.92 = Rs.175
Therefore, the written price or the cost price of the shirt before the discount was applied is Rs.175.
A nail is 0.1875 inch thick. What is it’s thickness as a fraction? Is 0.1875 inch closer to 1/8 inch or 1/4 inch on a number line?
What is a coplanar. You will earn good point.
hat is the solution set of the following equation? -8x + x + 15 = -7x + 12 Ø {} {all reals}
The area of a regular octagon is 35 cm^2. What is the area of a regular octagon with sides five times as long?
A. 625 cm^2
B. 875 cm^2
C. 175 cm^2
D. 245 cm^2
I'm not very good at this kind of stuff :/
three adults and four children must pay $107. two adults and three children must pay $76. find the price of the adult ticks and the price of a childs ticket
Which is greater 2.16 or 2.061
Jorge says there are 198 inches in 5.5 yards. Is he correct?
The sum of four consecutive odd integers is -72. Write an equation to model this situation, and ind the values of the four integers.
Answer:
equation: (x-3) +(x-1) +(x+1) +(x+3) = -72values: -21, -19, -17, -15Step-by-step explanation:
When dealing with consecutive integers, it often simplifies the problem to work with their average value. We know the average value of the integers in this problem is the even integer between the middle two. We can call it x, and write the equation ...
(x-3) +(x-1) +(x+1) +(x+3) = -72
This simplifies to ...
4x = -72 . . . . . . . we knew this before we wrote the above equation, since the sum of 4 numbers is 4 times their average.
x = -18 . . . . . . . . the middle number of the sequence
So, the numbers are:
-18-3 = -21-18-1 = -19-18+1 = -17-18+3 = -15_____
A more conventional approach is to define the variable as the integer at one end or the other of the sequence. If we make it be the lowest number, then the equation is ...
(x) +(x +2) +(x +4) +(x +6) = -72
and that simplifies to ...
4x +12 = -72 . . . . . collect terms
4x = -84 . . . . . . . . subtract 12
x = -21 . . . . . . . . . . divide by 4
Now, the other three numbers are found by adding 2, 4, and 6 to this one.
The LCD for the fractions 1/3, 3/4, 5/32, and 8/9 is
Translate the phrase into a math expression.
the quotient of twenty divided by four more than one
A.
(20 ÷ 4) + 1
B.
1 + (4 ÷ 20)
C.
(1 + 4) ÷ 20
D.
20 ÷ (1 + 4)
What is the reason for each step in the solution of the equation?
3+4xâ’3x=4
Drag and drop the reasons into the boxes to correctly complete the table.
3+x=43+x=4
x=1
Distributive property
Subtraction property of equality
Combine like terms
Division property of equality
Given
problem solving choose the correct answer that follows each sequence
3 4 6 9 13 18 24
.29
.31
.32
.33
Classify the following triangle. Check all that apply
Adams Clothing Store buys coats for $50 and sells them
for $80. What percent of increase is this?
Answer is provided in the image attached.
If a 30 -meter pine tree casts a shadow of 30 meters, how far is the tip of the shadow from the top of the tree?
The distance from the tip of the shadow to the top of the tree is 42.426 meters.
What is Pythagoras' theorem?Pythagoras theorem is a relation between sides of a right-angle triangle.
It states that for a right-angle triangle the square root of Hypotenuse is equal to the sum of the individual base and perpendicular square.
So,
Hyp² = Base² + Perp²
Given the situation is making a right angle triangle with base and perpendicular as 30 meters.
By Pythagoras theorem,
Hyp² = Base² + Perp²
Hyp² = 30² + 30²
Hyp² = 1800
Hyp = 42.426 meter.
Hence "The distance from the tip of the shadow to the top of the tree is 42.426 meters".
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How much water should be added to 1 gallon of pure antifreeze to obtain a solution that is 35% antifreeze?
To obtain a 35% antifreeze solution, □ gallon(s) of water should be added
(Simplify your answer.)
To obtain a 35% antifreeze solution, you need to add approximately 1.857 gallons of water to 1 gallon of pure antifreeze.
Explanation:To obtain a 35% antifreeze solution, you need to add a certain amount of water to 1 gallon of pure antifreeze. Let's assume that x gallons of water should be added. In a 35% antifreeze solution, the amount of antifreeze is 35% of the total solution. So, we can set up the following equation:
1 gallon of antifreeze = (35/100) * (1 + x) gallons of solution
Simplifying this equation, we get:
1 = 0.35 * (1 + x)
Now, let's solve for x:
Divide both sides of the equation by 0.35:
1/0.35 = 1 + x
2.857 = 1 + x
Subtract 1 from both sides of the equation:
2.857 - 1 = x
x = 1.857 gallons of water
Therefore, you need to add approximately 1.857 gallons of water to 1 gallon of pure antifreeze to obtain a 35% antifreeze solution.
Final answer:
To obtain a 35% antifreeze solution from 1 gallon of pure antifreeze, approximately 1.857 gallons of water needs to be added. This calculation is based on a simple concentration equation, resulting in the given ratio.
Explanation:
To calculate the amount of water to be added to 1 gallon of pure antifreeze to obtain a solution that is 35% antifreeze, we need to perform a simple concentration calculation.
We are starting with pure antifreeze, so it's 100% antifreeze. We want to end with a solution that is 35% antifreeze. Let's denote the amount of water added as x gallons. Because we are diluting the antifreeze, the total volume of the solution after adding water will be 1 gallon (the initial volume of the antifreeze) plus x gallons (the volume of water added).
The concentration of antifreeze after adding water is the volume of antifreeze divided by the total volume of the solution:
Concentration of antifreeze = Volume of antifreeze / Total volume of solution
Thus, 0.35 = 1 / (1 + x)
Multiplying both sides by (1 + x) and then by 0.35 we get:
1 = 0.35 * (1 + x)
Dividing by 0.35 and then subtracting 1:
x = 1 / 0.35 - 1
After calculating:
x ≈ 1.857 gallons
To obtain a 35% antifreeze solution, approximately 1.857 gallons of water should be added.
If a line of one billion people standing shoulder to shoulder stretches 346,439 miles long, what is the average shoulder width, in feet, of the people in the line?
Answer: [tex]1.83\text{ feet}[/tex]
Step-by-step explanation:
Given : If a line of one billion people standing shoulder to shoulder stretches 346,439 miles long.
We know that 1 mile =5280 feet
Then, the length of line=[tex]346439\times5280=1829197920[/tex] feet
We know that 1 billion can be written as :
[tex]1,000,000,000=10^9[/tex]
Now, the average shoulder width of the people in the line :-
[tex]\dfrac{1829197920}{1000000000}=1.8291979\approx1.83\text{ feet}[/tex]
Hence, the average shoulder width of the people in the line is about [tex]1.83\text{ feet}[/tex]
What is the place value relationships of 8's in 6,588
Jasmine exchanges $100 for Yen before going to Japan if each US dollar is worth 87.747 Yen how many yen should Jasmine receive
How do you write 960,060 in expanded form
Answer:
[tex]900000 + 60000+60[/tex]
Step-by-step explanation:
write 960,060 in expanded form
In 960,060, from left to right
0 is in ones place is 0
6 is in tens place is 6 times 10 = 60
6 is in ten thousands place is 6 times 10000= 60000
9 is in hundred thousands place 9 times 100000= 900000
So the expanded form of the given number is
[tex]900000 + 60000+60[/tex]
f the polygon is translated 4 units down and 5 units right, what will the coordinates of the new image be
What is the scale factor of triangle ABC to triangle DEF
Answer:
The correct option is: 1
Step-by-step explanation:
Scale factor is the ratio of corresponding side lengths of two triangles.
Here....
[tex]\frac{DE}{AB}=\frac{5}{5}=1\\ \\ \frac{DF}{AC}=\frac{5}{5}=1\\ \\ \frac{EF}{BC}=\frac{5}{5}=1[/tex]
So, the scale factor of [tex]\triangle ABC[/tex] to [tex]\triangle DEF[/tex] is 1.
there are 28 tables in the cafeteria.each table has 12 students sitting at it.fourth graders sit at 13 of the yables.fifth graders sit at the rest of the tables.how many fifth graders are there?
ABC preschool spun $1,475 on diapers this year.if the diapers cost $25 per box how many boxes did they used?
What is the area of trapezoid ABCD ? (Enter your answer as a decimal or whole number)
Area of the trapezoid ABCD is
[tex]62\frac{1}{2}[/tex]
Given :
The diagram of a trapezoid ABCD
Area of trapezoid is [tex]\frac{base1+base2}{2} \cdot height[/tex]
Lets find the length of base 1 and base 2 using distance formula
Base 1 is AD. find the distance AD
[tex]AD=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\AD=\sqrt{\left(-13-\left(-1\right)\right)^2+\left(-11-5\right)^2}\\AD=20[/tex]
Now we find out BD that is base 2
[tex]BD=\sqrt{\left(0-3\right)^2+\left(-2-2\right)^2}\\BD=5[/tex]
Now find out height AB
A is (-1,5) and B(3,2)
[tex]AB=\sqrt{\left(-1-3\right)^2+\left(5-2\right)^2}\\AB=5\\[/tex]
[tex]Area =\frac{AD+BC}{2} \cdot AB\\Area=\frac{20+5}{2} \cdot 5\\Area=\frac{125}{2}\\Area=62\frac{1}{2}[/tex]
Area of the trapezoid ABCD is
[tex]62\frac{1}{2}[/tex]
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