This number line shows 21/4
Which other number line shows a fraction equivalent
to 21/4
Answers
Answer:
I think it’s the second number line.
Step-by-step explanation:
Related Questions
Twenty-four 4-inch wide square posts are evenly spaced with 5 feet between adjacent posts to enclose a square field, as shown. What is the outer perimeter, in feet, of the fence? Express your answer as a mixed number.
Answers
Answer:
129 1/3
Step-by-step explanation:
According to Alcumus, "There are 20 square posts which are not on a corner, so there are $20/4=5$ square posts on each side, not including the corner posts. Including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts. Altogether the length of a side is $7\left(\frac{1}{3}\right)+6(5)=32\frac{1}{3}$ feet. The perimeter of the square is four times the side length, so the perimeter is $4\cdot 32\frac{1}{3}=\boxed{129\frac{1}{3}}$ feet."
The outer perimeter is 129 1/3 feet.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Twenty-four 4-inch wide square posts are evenly spaced with 5 feet.
So, there are $20/4
=5$ square posts on each side, not including the corner posts.
and, including the corner posts, there are 7 posts on a side, which means that there are 6 five-foot gaps between posts.
Then, the length of a side is
= 7 1/3 + 6(5)
= 32 1/3 feet
and, The perimeter of the square
= 4 x 32 1/3
= 129 1/3 feet
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Please help
find the area of a trapezoid base 1 measures 20 ft base 2 messages 10 ft height measures 3 ft
Answers
Answer:
Step-by-step explanation:
(20+10)*3/2 = 45
Answer:
45 ft squared
Step-by-step explanation:
Area of a trapazoid = a plus b divuded by 2 times h
20 plus 10 divided by 2 equals 15
then 15 times 3 equals 45
Help please !!! Meg correctly solves 4680 divided by 40. Enter numbers in the boxes to show the equations she could use to solve the problem.
(4000 divide )+ (600 divide
+ (80 divide)
What is 4680 divided by 40
Enter the answer in the box.
Answers
Answer:
117
Step-by-step explanation:
Here, we have to find the result when 4680 is divided by 40.
Meg wants to simplify the process of division here.
We know that 4680 can be written as 4000 + 600 + 80.
So,
[tex]4680 \div 40 = (4000 \div 40) + (600\div 40) + (80\div 40)\\\\\Rightarrow 100 + 15 + 2\\\Rightarrow 117[/tex]
This method makes division very easy if we have to find results of division for large numbers. This example is an illustration of the same.
Please refer to image attached for results.
Hence, Meg gets the result as 117.
Inverse fiction of
(4/(x+2))-1
Step by step pls
Answers
2. When there is a "-" in front of an expression in parentheses, change the sign of each term of the expression
3. Subtract the numbers
Answer . 2-x
———
X+2
COME ON ITS 1 QUESTION FOR 50 POINTS!
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Answers
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
As the speed of a ship increases, the time remaining in the journey decreases. This is an example of what type of correlation?)
a)Can't be determined
b) No correlation
C)
Negative correlation
D)
Positive correlation
Answers
Answer:
I think negative correlation
Step-by-step explanation:
Answer:
negative correlation is the answer
Step-by-step explanation:
please help me out! i have a few more of these questions, about 4
Answers
Step-by-step explanation:
You can make a table of values to find the points that belong to the line and then draw the line through those points. Here are some: (-6, -2), (0, -1), and (6, 5). You can use any value for x in your table. Hope this helps!
Answer:
Step-by-step explanation:
put a point in at negative 1 first; that is the y value.
Then, go up 1 then to the right six points. that should result in the next point being at (0,6).
Keep going and draw a line
please help
Which two points on the number line are opposites?
A number line going from negative 2 to positive 2 in increments of 1. There are 3 equal spaces between each number. Point A is 1 mark to the right of negative 2. Point B is 1 mark to the right of negative 1. Point C is 1 mark to the right of 0. Point D is 2 marks to the right of 1.
points A and B
points B and C
points C and D
points A and D
Answers
Answer:
Its B C
Step-by-step explanation:
on edge2020
How does knowing the absolute value of an integer help in determining the distance of two ordered pairs?
Answers
The absolute value helps because when you the absolute value is the the distance of a number away from 0. Meaning that if your finding distance it will never be negative.
Finding the distance between the two is subtracting one of the numbers from each ordered pair from each other. Whether the number is negative or positive, you always turn it, or leave it into a positive number because distance is always positive.
Hope this helps !
PLS HELP John’s patio needs to be re-painted.
He needs orange paint for one portion of his patio and gray paint for the other portion. Determine the total area of the patio that needs orange paint and the total area that needs gray paint. Show all calculations.
Answers
Answer:
368 square feet of orange paint.
292 square feet of grey paint.
Step-by-step explanation:
Here is a picture of my work that you can follow to show how i did it. hope this helps!
The five-number summary for the number of teams in each of Brad's fantasy football leagues is shown in the following table.
The five-number summary suggests that about 50% of Brad's fantasy football leagues have fewer than how many teams?
Choose 1 answer:
(Choice A)
4
(Choice B)
7
(Choice C)
10
(Choice D)
14
(Choice E)
18
Answers
Answer:
The correct option is (C) 10.
Step-by-step explanation:
The five-number summary for the number of teams in each of Brad's fantasy football leagues is as follows:
Minimum: 4
Q₁: 7
Median: 10
Q₃: 14
Maximum: 18
The minimum value is the smallest value in the data set.
The first quartile (Q₁) is the value that is less than 75% of the observations.
The median is the middle most value of the data set. It is the value that is less than 50% of the observations.
The third quartile (Q₃) is the value that is less than 25% of the observations.
And the maximum value is the largest value in the data set.
So, the five-number summary suggests that about 50% of Brad's fantasy football leagues have fewer than 10 teams.
Thus, the correct option is (C).
A scale drawing of a square has a side length of 6 millimeters. The drawing has a scale of 1 mm : 7 km. Find the actual perimeter and area of the square.
Answers
P=168km
An actual square will ALWAYS have the same lengths on each of the 4 sides. Therefore it will be 6mm all around the square. There are different ways to solve this type of problem but we’ll go with this one.
First you want to understand that the scale is a ratio or a fraction. With fractions you multiply the numerator or denominator, but if you multiply or divide with one, you must with the other. In this case the ratio (we can put it in fraction form) is 1/7. Now you want to make it to where the 1 (because it is a mm) becomes 6 because that’s how many mm we have on each side. To do that you need to find what times 1 is equal to 6 (which is 6 itself).
Now that you found what the numerator will be, we need to also multiply 7 by 6 because what you do with one side you must do to the other. So 7*6 will be 42. Your new fraction (or ratio) is 6/42.
Finally you should know that since a square has 4 sides you need to multiply what one side length of the square is by 4 for the perimeter. Because 6mm is 42km (because of the ratio) then do 42*4 which is 168.
Finding the area is much simpler with the already known lengths, area is l*w, which in this case for the square is just two side lengths times eachother. 42*42= 1764.
Solve this for me please
Answers
is there a picture to this??
Simplify: (1 + 3i) + (7 - 2i)
Answers
Answer:
8+i
Step-by-step explanation:
Answer:
8 + 1 i
if im wrong soooooorrrrrrryyyyyy
Step-by-step explanation:
Help I will mark BRAINLIEST if correct please help
Answers
Answer:
[tex](-\frac{1}{4}, \frac{5}{8} )[/tex]
Step-by-step explanation:
If you label the points on the axes, it will show that point K is actually on [tex]\frac{5}{8}[/tex] not [tex]\frac{3}{4}[/tex]
Hey guys I need help with this exercise can someone plz help me for 20 points?? Also write the explamation to your answer plzz!
Math problem: 13 of the same cookbooks weigh 442 grams. What is the weight of 10 of these books?
Answers
Answer:
340
Step-by-step explanation:
442 / 13 = 34
34 × 10 = 340
Answer:
340
Step-by-step explanation:
442 / 13 = 34
34 × 10 = 340
The right isosceles triangle shown is rotated about line k with
the base forming perpendicular to k. The perimeter of the
triangle is 58 units.
Which best describes the resulting three-dimensional
shape?
k
a cone with a base radius of 17 units
a cone with a base radius of 34 units
a cylinder with a base radius of 17 units
a cylinder with a base radius of 34 units
24 units
Answers
Answer:
The correct/valid answer is A. a cone with a base radius of 17 units
Step-by-step explanation:
The 3d shape that is developed when the figure is rotated at k is a actually a cone with a base radius of 17 whole units. Given the triangle's perimeter, the base can now be solved by using the mathematical expression, 58= 24+ 2x, where x is actually the base radius of the given triangle.
Mark as brainliest please, I need a few more :D
The cone with a base radius of 17 units best describes the resulting three-dimensional shape.
Given that,
The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triangle is 58 units.
Based on the above information, the calculation is as follows:
58 = 24+ 2x
58 - 24 = 2x
34 = 2x
x = 17
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Use the grouping method to factor the polynomial below completely.
3x3 + 9x2 + 4x + 12
O A. (3.2 + 4)(x+4)
O B. (3x2+3)(x + 4)
O c. (3x2 + 4)(x+3)
O D. (3x + 3)(x+3)
Answers
Answer:
C. (3x^2+4)(x+3)
Step-by-step explanation:
3x^3+9x^2+4x+12
=(3x^3+9x^2)+(4x+12)
=3x^2(x+3)+4(x+3)
=(3x^2+4)(x+3)
Therefore, C. (3x^2+4)(x+3)
The correct factor of the polynomial is,
⇒ (x + 3) (3x² + 4)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ 3x³ + 9x² + 4x + 12
Now, We can factor the polynomial as;
⇒ 3x³ + 9x² + 4x + 12
⇒ 3x² (x + 3) + 4 (x + 3)
⇒ (x + 3) (3x² + 4)
Thus, The correct factor of the polynomial is,
⇒ (x + 3) (3x² + 4)
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A company specializing in building robots that can clean your house has found that the average amount of time kids spend cleaning their houses is about 2 hours per week. If their sample size was 1000 randomly chosen kids and the standard deviation was 0.3 hours, what is the margin of error for a confidence interval of 95%?
Answers
Answer:
0.588
Step-by-step explanation:
Margin of error is:
ME = CV × SE
where CV is the critical value (z score or t score), and SE is the standard error (standard deviation of the sample).
Since n is large, we can approximate as a normal distribution. At 95% confidence level, z = 1.96.
Therefore, the margin of error is:
ME = 1.96 × 0.3
ME = 0.588
Using the z-distribution, it is found that the margin of error for a 95% confidence interval was of 0.0186.
What is a z-distribution confidence interval?The interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.The margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
The standard deviation for the population and the sample size are given, respectively, by:
[tex]\sigma = 0.3, n = 1000[/tex]
Hence, the margin of error is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 1.96\frac{0.3}{\sqrt{1000}}[/tex]
M = 0.0186.
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Drag the tiles to the correct boxes to complete the pairs.
Match each situation to the simulation that represents it.
Althea has to select 1 student
as the class representative
from 13 students.
Fiona is deciding which of three
forests to research for a
geography project: evergreen,
deciduous, or coniferous.
Jenny is picking a marble from
a jar with two green marbles, six
yellow marbles, and two red
marbles.
rolling a six-sided die
selecting a playing card from
the hearts suit
spinning a spinner divided into
five equal sections
Answers
Answer: rolling a six sided die☞︎Fiona forest research
Hearts suit☞︎Althea class representative
Spinner☞︎ Jenny marbles
Step-by-step explanation:
Answer:
Fiona= die
Althea=cards
Jenny=Spinner
Step-by-step explanation:
starting off Fiona has three which can evenly go into six.
Althea has 13 options which matches with the number of suits in the hearts
the Jenny would be spinner because 5 times 2 is 10
Circle P has a circumference of approximately 75 inches
What is the approximate length of the radius, n Use 3 14
for . Round to the nearest inch
12 inches
24 inches
38 inches
046 inches
Answers
Answer: The radius is 12.
Step-by-step explanation:
75/n where N is representing pie. We have to divide pie to find the diameter.
75/3.14= 24 Now we know the diameter is about 24 so we will divide by 2 to find the radius.
24/2=12
Answer:
1) 12in
Step-by-step explanation:
The circumference is 75, so to find the diameter you have to divide 75 by 3.14. You get 24 approximately. Then divide the diameter by 2, so 24/2=12.
5(x-10)=30-15x
Ox=1
Ox=4
Ox=5
Ox=8
Answers
Answer:
x = 4
Step-by-step explanation:
5x-50=30-15x
5x +15x =30+50
20x= 80
Divide both sides of the equation by 20
x = 4
I hope it helps
I need help uwuwuwuwuwuauauuwuwuauaua
Answers
The answer is B
35+50+35+20=140
175-140= 35
Suzanne bought a sweater at the sale price of $29.99. the original cost of the seater was $49.99. what percent represents the discount they suzanne received when buying the sweater?
a: 40% discount
b: 60% discount
c: 50% discount
d: none of the above
NEED HELP ASAP MASTERY GRADE
Answers
Answer:
= 40%
Step-by-step explanation:
Original price = 100%
Discount = Op - Np = $49.99 - $29.99 = $20
If $49.99 = 100%
What about $20 = ?
= (20 x 100) ÷ 49.99
= 2000 ÷ 49.99
= 40.008
= 40%
37.5
%
Original price
→
$40
Reduced to
→
$25
Writing this as a fraction of the original price we have
25/40
But this represents the final price.
What we need is the amount of reduction
The price has been reduced by
$40−$25=$15
So as a fraction of the original price the reduction is:
15/40
Converting this to a percentage
Let the unknown value be
x
15/40=x/100
Multiply both sides by 100
15/40×100 = x × 100/100
But 100/100= 1
x = 15/40 × 100 = 37 1/2→37.5 giving: 37.5/100 = 37.5 × 1/100 = 37.5%
What are the solutions to the system of equations? {y=x2−4x+8y=2x+3
Answers
Answer:
1) C 2) (-2,0) 3) 4) 5) c )S={(0,3)} 6) (0,2) 7) 8) Missing graph 9) Vertical line (check below) 10) B 11)
Step-by-step explanation:
1) Solving by the Addition/Elimination Method. Firstly, let's reduce one variable by making some algebraic adjustments and then adding it up:
2) Solving by Substitution Method. Where y=x+2 is plugged in the 2nd equation.
3) Solving it, again, by the Substitution Method due to the I equation form:
4) By the Addition Method
5) To use the graph method to solve the system of Linear equations is possible by graphing each equation on the Cartesian Plane.
Check the graph below, this system has only one solution.
c)S={(0,3)}
6) Solving y=-1/3x+2 y=x+2
(Check the graph below)
A) A) (0, 2)
7) Solving by Substitution Method:
8) Missing graph
9)
Check the graph below its answer
10) Solving by the Addition Method
11) Sorry, missing graph for the question.
12) Sorry, missing graph for the question.
13) D Check the graph below
14) Sorry, missing graph for the question.
16. Use the net to find the surface area of the prism.
(1 point)
16.6 m
16.6 m
10 m
1
16.6 m
14 m
Not drawn to scale.
9 m
10 m
O276 m²
O 22 m²
O 522 m²
0968 m²
17. Find the volume of the rectangular prism. (1 point)
Answers
can you show me a picture then maybe i can help you
10 points need help asap
Answers
Answer:
D
Step-by-step explanation:
It’s on probability please help
Answers
Answer:
The number of meal combinations, She has to choose:
N = 3 x 4 x 3 =36
Hope this helps!
:)
please help asap, 20 points
Answers
Solving for each equation:
A: True.
[tex]\frac{n}{2} +3 *4 = \frac{n}{2}+12\\\\\frac{n}{2} + 12 = \frac{n}{2} + 12[/tex]
B: False.
[tex]\frac{1}{3}z+\frac{2}{3}z * 9 = 9z\\\\\frac{1}{3} z+6z = 9z[/tex]
C: True, given that y = 1
[tex]-8y +4.3y + 3.7 = 0\\\\-3.7y = -3.7[/tex]
D: True, given that b = 6.66667
[tex]12-1.8b+1.8b=1.8b\\12 = 1.8b[/tex]
E: True.
[tex]\frac{m}{8} + 7(\frac{m}{8} ) =m\\\\\frac{m}{8} + (\frac{7m}{8} )= m\\\\\\\frac{8m}{8} = m\\[/tex]
Which equation best represents the data given in the table ?
Answers
Answer:
B
Step-by-step explanation:
The equation that satisfies the above table is y = 8[tex](\frac{1}{2})^{x}[/tex]
Given,
Table between x and y .
Here,
To get the equation between x and y first justify the data given in the table.
So,
When,
x = -3 , y = 64
x = -2 , y = 32 .
In the equation y = 8[tex](\frac{1}{2})^{x}[/tex] substitute the values of x and check for y .
Put x = -3 ,
y = 8[tex](1/2)^{-3}[/tex]
y = 8 * 8
y = 64
Thus it satisfies the value given in the table .
So the correct equation will be Option B .
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