Answer:
The number of times coin thrown was 500.
Step-by-step explanation:
Relative\ frequency=\frac{Number\ of\ lands\ on\ heads}{Number\ of\ times\ coin\ thrown}
0.4=\frac{200}{x}
By cross multiplying we get:
0.4x=200
Dividing both sides by 0.4 we get:
x=500.
Select all the equations where n= 6 is a solution.
Choose 3 answers:
4=10-n
3=n/2
12=n+7
8n=48
5+n=8
The correct equations where n=6 is the solution are: 4 = 10 - n, 3 = n / 2, and 8n = 48. This is determined by substituting n = 6 into every equation and checking if both sides equate.
Explanation:The topic being explored here is identifying the proper equations with n = 6 as the solution. This involves plugging in the value of n (which is 6) into each equation and checking if the equation holds true.
4 = 10 - n becomes 4 = 10 - 6, which simplifies to 4 = 4. This is true. 3 = n / 2 becomes 3 = 6 / 2, which simplifies to 3 = 3. This is true. 12 = n + 7 becomes 12 = 6 + 7, which simplifies to 12 = 13. This is false. 8n = 48 becomes 8*6 = 48, which simplifies to 48 = 48. This is true. 5 + n = 8 becomes 5 + 6 = 8, which simplifies to 11 = 8. This is false.
Therefore, the correct equations where n = 6 is the solution are: 4 = 10 - n, 3 = n / 2, and 8n = 48.
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1) 2(4 + 9w) =?
help me pls!
Answer:
8+18w
Step-by-step explanation:
Use the distributive property.
2*4 + 2*9w = 8+18w
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Anthony deposited $500 into his bank account. A couple of days later he withdrew $40. The next day he
deposited $30. A day later, he withdrew $100. How much money is left in his account?
Answer:
$390
Step-by-step explanation:
First he has $500-$40=$460
So now he has $460+$30=$490
He has $490-$100=$390
$390 money is left in his account.
Explanation:
First, he has $500-$40=$460
So now he has $460+$30=$490
He has $490-$100=$390
What is an example of a word problem?
Word problems normally encompass mathematical modeling questions, where facts and statistics approximately a positive system is given and a student is required to expand a model. for example Jane had $five.00, then spent $2.00. How lots does she have now?
What are the three forms of word problems?You could use three common varieties of word problems-- part-part-whole, separate and join and multiply and divide -- for everything from counting pennies to calculating a tip.
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A circle with radius 4 centimeters.
What is the area of this circle in terms of pi?
8Pi cm2
16Pi cm2
32Pi cm2
64Pi cm2
Answer:
= 16 pi cm²
Step-by-step explanation:
Area of a circle = pi × r ²
Where r = radius = 4cm
Therefore
Area = pi × 4² cm²
Area = pi × 4 × 4 cm²
Area = pi × 16 cm²
Area = 16 pi cm²
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How do you simplify 12/7
Answer: you can’t it is 12/7
Step-by-step explanation:
Answer:
You cant simplify 12 and seven since they dont have common factors,however you can divide which also applies as a simplification method
Step-by-step explanation:
12/7=1.71
4. The perimeter of a rectangle is 42 yards.
The difference of the length and width of
the rectangle is 7 yards. Find the length
and width.
Answer:
Step-by-step explanation:
Let width = x
Length = 7 + x
Perimeter = 42 yards
2*(length + width) = 42
2* ( 7 + x + x) = 42
7 + 2x = 42/2
7 + 2x = 21
2x = 21 - 7
2x = 14
x = 14/2
x = 7
Width = 7 yards
Length = 7 + 7 = 14 yards
If (-5+z) is positive, but (-6+z) is negative, what is one number that z could be?
The number that satisfies both conditions (-5+z being positive and -6+z being negative) given in the question is z = 6.
Explanation:To solve this problem, we use the clues given in the question that (-5+z) is positive and (-6+z) is negative. A number, when added to -5, resulting in a positive one, must be greater than 5. However, when the same number is added to -6, it results in a negative answer, meaning it must be less than 6.
Considering both conditions and finding a number that meets them, we can see that z = 6 is the only possible option. This is because 6 is greater than 5 making -5+6 positive. However, since 6 is equal to 6, -6+6 equals zero, and zero isn’t considered negative, thus satisfying both conditions.
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Please I really need help on this question, it would mean a great deal to me for any help.
Answer:
25
Step-by-step explanation:
Find the volume of both boxes
V = base * height
Bigger box
base = 50 * 30 = 1500
1500 * 20 = 30,000
Smaller box
b= 10 * 30 = 300
300 * 4 = 1200
30,000 / 1200= 25
Ming is walking around a circular track. The diameter of the track is approximately 125 meters. If Ming walks around the track 5 times how many total meters will she walk? Round your answer to the nearest whole meter.
Pd: the answer is 1963 but I don’t know the process.
Answer:
[tex]1,963\ m[/tex]
Step-by-step explanation:
step 1
Find the circumference of the circular track
The circumference is given by the formula
[tex]C=\pi D[/tex]
we have
[tex]D=125\ m[/tex]
assume
[tex]\pi=3.14[/tex]
substitute
[tex]C=(3.14)(125)=392.5\ m[/tex]
step 2
If Ming walks around the track 5 times, then to find out the total meters that she will walk, multiply the circumference of the circular track by 5
[tex]392.5(5)=1,963\ m[/tex]
How can you use the number of inches in one foot to find the number of square inches in one square foot?
Please help me. Explanation needed.
Answer:
D, 1250 square feet
Step-by-step explanation:
Area of a circle:
[tex]\pi * r^2[/tex]
Diameter is twice the radius, so the radius is 20 ft.
Thus the area of grass is 400pi
Answer:
The answer is D
Step-by-step explanation:
You are basically looking for the area of this circle, the formula would be A=Pi*r^2. So plug the values in and it would be, A=3.14*400, we know the radius is 20 because the diameter is double that, and square the radius, this gives you 400.
Find the area of the regular 15-gon with radius 5mm
1.Perimeter: [tex]\( P ≈ 31.05 \, mm \)[/tex]
2. Apothem: [tex]\( a ≈ 4.89 \, mm \)[/tex]
3. Area: [tex]\( Area ≈ 75.91 \, mm^2 \)[/tex]
So, the area of the regular 15-gon with a radius of 5 mm is approximately [tex]\( 75.91 \, mm^2 \).[/tex]
To find the area of a regular polygon, you can use the formula:
[tex]\[ Area = \frac{1}{2} \times Perimeter \times Apothem \][/tex]
Where:
- Perimeter is the total length of all the sides of the polygon.
- Apothem is the distance from the center of the polygon to the midpoint of any side.
For a regular polygon, the apothem can be calculated using trigonometry. In this case, the regular 15-gon (also called a pentadecagon) has 15 equal sides.
Let's break down the steps:
1. Calculate the Perimeter:
The perimeter of a regular polygon with ( n ) sides can be calculated as [tex]\( P = n \times s \)[/tex], where ( s ) is the length of each side. Since we're given the radius of the polygon, we need to calculate the length of one side using trigonometry.
2. Calculate the Apothem:
The apothem of a regular polygon can be calculated using the formula:
[tex]\[ a = r \times \cos\left(\frac{\pi}{n}\right) \][/tex]
where ( r ) is the radius of the polygon, and ( n ) is the number of sides.
3. Plug the values into the Area Formula:
Once you have both the perimeter and the apothem, you can plug them into the area formula and calculate the area.
Let's do the calculations:
1. Calculate the Perimeter:
The length of one side ( s )) can be calculated using trigonometry. Since we're dealing with a 15-gon, each interior angle is[tex]\( \frac{(15-2) \times 180°}{15} = 156° \).[/tex]
Using the law of cosines:
[tex]\[ s = 2 \times r \times \sin\left(\frac{180°}{15}\right) \][/tex]
[tex]\[ s = 2 \times 5 \times \sin(12°) \][/tex]
[tex]\[ s ≈ 2 \times 5 \times 0.207 ≈ 2.07 \, mm \][/tex]
So, the perimeter (( P )) is:
[tex]\[ P = 15 \times 2.07 ≈ 31.05 \, mm \][/tex]
2. Calculate the Apothem:
[tex]\[ a = 5 \times \cos\left(\frac{\pi}{15}\right) \][/tex]
[tex]\[ a = 5 \times \cos(12°) \][/tex][tex]\[ a = 5 \times \cos\left(\frac{\pi}{15}\right) \][/tex]
[tex]\[ a ≈ 5 \times 0.978 ≈ 4.89 \, mm \][/tex]
3. Plug the values into the Area Formula:
[tex]\[ Area = \frac{1}{2} \times 31.05 \times 4.89 \][/tex]
[tex]\[ Area ≈ \frac{1}{2} \times 31.05 \times 4.89 ≈ 75.91 \, mm^2 \][/tex]
So, the area of the regular 15-gon with a radius of 5 mm is approximately [tex]\( 75.91 \, mm^2 \)[/tex].
Travis is at a carnival and has a chance to win a goldfish. He can either roll 2 or 3 on a six-sided fair die or pick either an A or B out of a hat which contains letters A, B, C, D, and E. Which game should Travis play to win a goldfish? Explain.
Answer:
Travis should pick to play the hat game.
Step-by-step explanation:
You would need to evaluate the probablity of winning in each option
Option 1 (rolling die)
p(roll 2 or 3)=2/6
p(roll 2 or 3)=1/3=.33
Option 2 (pick letters)
p(pick A or B) = 2/5
p(pick A or B) = .4
.33<.4
Since option 2 with picking letters has a higher chance of winning, then Travis should play the second game to win the goldfish as a higher chance of winning makes it easier for him to win the prize.
What are the different ways to combine the possible areas to find the area of the composite figure? Multiply the area of the rectangle by 2. Add the area of the rectangle with the area of the triangle. Multiply the area of the triangle by 2. Divide the area of the rectangle by 2.
Answer:
B. Add the area of the rectangle with the area of the triangle.
Step-by-step explanation:
Simple Answer..
The possible areas to find the area of the composite figure is; Add the area of the rectangle with the area of the triangle and Multiply the area of the rectangle by 2.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
The composite figure is made up of two shapesas; a rectangle and a triangle. To determine the total area of the composite figure, we can use one of the methods:
First Add the area of the rectangle with the area of the triangle:
We can find the area of the rectangle by multiplying its length and width. We can determine the area of the triangle by multiplying its base and height and then dividing by 2.
Once we get both areas, we can add them together to find the total area of the composite figure.
Multiply the area of the rectangle by 2:
Since the composite figure consists of two rectangles, we can determine the area of one rectangle and then multiply it by 2 to get the total area of the composite figure.
Therefore, by area, the answer will be x2 area of the rectangle and sum of the area of the rectangle and triangle.
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Find negative square root of 49. (4 points)
Answer:
-7
Step-by-step explanation:
hope this helps
factor polnomial 4p^2−16p+12
Answer:
4(p−1)(p−3)
Step-by-step explanation:
Factor 4p2−16p+12
4p2−16p+12
=4(p−1)(p−3)
Answer: (p-1)(p-3)
Step-by-step explanation:
See the answer below
adams closet measures 36 inches by 24 inches by 96 inches. what is the longest distance between corners inside his closet? round to the nearest tenth
The longest distance between corners inside his closet is 105.3 inches
Explanation:Adam's closet is given in the form of a rectangular prism as shown below. Here, we know that:
[tex]Length=L=26in \\ \\ Width=W=24in \\ \\ Height=H=96in[/tex]
The longest distance between corners inside his closet is given by the formula:
[tex]d=\sqrt{L^2+W^2+H^2} \\ \\ Substituting \ values:\\ \\ d=\sqrt{36^2+24^2+96^2} \\ \\ d=\sqrt{11,088} \\ \\ d=105.29 \\ \\ \\ \text{Round to the nearest tenth} \\ \\ d=105.3[/tex]
Then:
The longest distance between corners inside his closet is 105.3 inches
Find the x-intercepts for the parabola defined by the equation below.
y=x² + 9x+ 14
Answer:
(-2,0) and (-7,0).
Step-by-step explanation:
Hope this helps!
there were 15 girls and 25 boys in a science club . what percent of the members were girls?
Answer:
The answer is 37.5%
Answer:
37.5%
Step-by-step explanation:
add 15+20 =40 15/40 *100(we use 100 because a percent is always out of 100.) 0.375*100. = 37.5
What point is an x-intercept of the quadratic function f(x)=(x-4)(x+2)
Answer:
x-intercepts (4,0) and (-2,0)
Step-by-step explanation:
f(x)=(x-4)(x+2)
f(x)=0=y
0=(x-4)(x+2)
x-4=0 or x+2=0
x=4 or x=-2
x-intercepts (4,0) and (-2,0)
Harry plans to paint the triangular portion of
the side of his house. How many square feet
does he need to paint?
azul bought 10 reams of paper at the store for $84. The tax on the purchase is $4. What was the cost of each ream of paper. Which equation can you use?
10r + 4 = 84
10r - 84 = 4
4 ( 10r) = 84
4 - 10r = 84
Answer:
should be A
Step-by-step explanation:
Answer:The answer is 10r-84=4
Step-by-step explanation:
Will give brainiest if answered plzz helppp!!!!
Answer:
5.375 square ft
Step-by-step explanation:
Side of squre = 5 ft
Diameter of semicircle = 5ft
Radius of semicircle (r) = 5/2 cm = 2.5 cm
Area of green part of logo = area of square - 2 times area of one semicircle
[tex] = {side}^{2} - 2 \times \frac{1}{2} \pi {r}^{2} \\ \\ = {5}^{2} - 3.14 \times {(2.5)}^{2} \\ \\ = 25 - 3.14 \times 6.25 \\ \\ = 25 - 19.625 \\ = 5.375 \: {ft}^{2} \\ [/tex]
What is the GCF of 6 and 35
Answer:
The GCF is 1
Step-by-step explanation:
Step 1: Find the factors of both 6 and 35
6 → 1, 2, 3, 6
35 → 1, 5, 7, 35
To find the factors, both of the sets should have the same number. The highest number that is in both sets is the GCF. So... I have the GCF bold on top to show that the answer is 1.
Answer: The GCF is 1
Worksmith is offering a $25 mail-in rebate on the purchase of a power drill. If the sellingprice is $149.54, what is the final price after the mail-in rebate?
HELP!!!! Need help with this!!
Answer:
x=45
Step-by-step explanation:
so use the formula a²+b²=c²
the a is 6
the b is x (unknown)
the c is 9
6² is 36, and 9² is 81
to find the missing side subtract a (36) from c (81)
the answer is x=45
Box plots for chapter 6 test scored of two classes are shown.
Answer:
There is a 5% difference
Step-by-step explanation:
80%-75%=5%
What is the solution to the system of linear equations graphed below?
On a coordinate plane, 2 lines intersect at (3.5, negative 4).
(3 and one-half, negative 4)
(Negative 4, 3 and one-half)
(0, 3)
(0, negative 4)
Answer:
the answer is d
Step-by-step explanation:
i took the quiz on Edge
The solution to the system of linear equations graphed below if, On a coordinate plane, 2 lines intersect at (3.5, negative 4) is (0, negative 4).
What is a linear equation?A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line. Functions like y = mx, where m can be any constant, are considered linear equations.
Given:
On a coordinate plane, 2 lines intersect at (3.5, negative 4),
the coordinates of the intersection point are (3.5, -4)
The equation of must satisfy these coordinates,
On the y-axis line will have no x-intercept i.e. x = 0
Hence, the coordinates will become (0, -4)
Thus, the solution to the system of linear equations graphed below is (0, negative 4).
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-2=g-9
Please Help!!!
Answer:
g = 7
Step-by-step explanation:
you add 9 to 9 and cancle it out . then you add 9 to -2 and you get 7 = g . just switch it around and you get your answer .
Answer:
7=g
Step-by-step explanation:
Mr.Baker creates 35 math test problems in 5 hours for the upcoming math pop quiz. How many questions does Mr.Baker create in 3 hours?
Answer:
21 questions
Step-by-step explanation:
First find the unit rate by dividing question number by hours
35/5=7
So he makes 7 questions per hour
Multiply 7 by 3
7*3=21
So, he makes 21 questions in 3 hours
Hope this helps! :)
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