plot 7/8 and 2 1/4 on a number line
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The given fractions are plotted on number line as given below.
What is number line?A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.
The given fractions are 7/8 and [tex]2\frac{1}{4}[/tex].
To plot fractions on the number line, follow the steps given below:
Step 1: Draw a number line of a suitable length.
Step 2: If the given fraction is a proper fraction, then mark points 0 and 1 on the number line. Or, if it is an improper fraction, then first convert it into a mixed fraction, and then mark two integers between those the given fraction lies.
Step 3: Draw an equal number of parts of the numbers marked in step 2 which will be equal to the denominator of the fraction.
Step 4: Starting from the left point, count forward the number of parts shown by the numerator.
Step 5: Mark the point on the line.
Hence, the given fractions are plotted on number line as given below.
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Related Questions
Decimal of 0.516÷4 With process
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explanation:
Minutes No. of Homework
Problems
2 or Less
3-4
5-6
7-8
9 or more 8
4
2
0
3
What is the number of homework problems that took less than 5 minutes in the given table?
A.
4
B.
14
C.
12
D.
8
Answers
dele took 25 minutes to walk to school and he arrived at exactly 8:00am, at what time did he leave his home
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Find the area of the following figure and write your result in the empty box.
Answers
Answer:
Area = 406
Step-by-step explanation:
First things first: Divide the shape
Here is how I did it:
21 x 16
14 x 5
Now solve:
21 x 16 = 336
14 x 5 = 70
Now add:
336 + 70 = 406
So the area is 406
I am a line that intersects a circle at 2 points WHAT AM I?
Answers
Whats the answer?This is trigonometry
Answers
Answer:
100
Step-by-step explanation:
Find the area in square inches. <3
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1/2 x b x h
So we know the height and base is 9 and 12:
1/2 x 9 x 12
Multiply the newly made equation and you get:
54
Have an awesome day <3
(08.06 LC)
Identify the factors of x2 + 16y? (5 points)
O (x + 4y)(x + 4y)
O (x + 4y)(x - 4y)
Prime
O (x - 4y)(x - 4y)
Answers
Answer:
Prime
Step-by-step explanation:
2(x?)+16y
O(x+4y)(x+4y)
x²+4xy+4xy+16y²
x²+8xy+16y²
O(x+4y)(x-4y)
x²-4xy+4xy-16y²
x²-16y
Prime
O(x-4y)(x-4y)
x²-4xy-4xy+16y²
x²-8xy+16y²
All are incorrect except prime, so the answer is prime.
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hope it helps
Find the dot product of u and v.
Answers
9514 1404 393
Answer:
-4
Step-by-step explanation:
The dot product is the sum of products of corresponding coefficients.
u·v = (4)(-1) +(0)(2) = -4
u·v = -4
Factorise a^2-b^2 but it has no indecies
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Answer:
(a+b)(a-b)
Step-by-step explanation:
backk from ban!!!!!!!!
Answers
Before shipment, an inspector found that 7 of the boxes were defective and could not be shipped. At least 200 boxes were approved for shipment. Write and solve an inequality to find the amount of time Machine A spent packing the boxes that were approved for shipment.
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step-by-step explanation:
7/200 of them were defective
7/200 = 0.035
193/200 of them were approved
193/200 = 0.965
y being the number of boxes approved
x being to amount of time
y = 0.965x - 0.035
a²b² + 2ab (a²+1) +a^2-b^2-1
Answers
Exponentiation is not clear
If so Exponentiation
a²b²+2ab(a²+1)+a²-b²-1
this answer
a²b²+2a³b-b²+2ab+a²-1
As for if so Exponentiation
[tex]a²b²+2ab(a²+1)+a² - b {}^{2 - 1} [/tex]
this answer
a²b²+2a³b+2ab+a²-b
This figure shows an oblique triangle-based pyramid.
What is the volume of the figure?
Answers
Answer: 88 cm^3
Step-by-step explanation:
= 1/2 • bh
= 1/2 • 6 • 8
= 24
= 1/3 • 24 • 11
= 88 cm^3
The volume of the oblique triangle-based pyramid, having dimensions 6 cm, 8 cm, 11 cm, and 36.2 cm, is 88 cm³.
What is volume?The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.
Given:
The dimension of the pyramid are 6 cm, 8 cm, 11 cm, and 36.2 cm,
Calculate the volume as shown below,
The Volume of the pyramid = 1 / 3 × Area of the triangle × height
The volume of the pyramid = 1 / 3 × 1 / 2 × 6 × 8 × 11
The volume of the pyramid = 528 / 6
The volume of the pyramid = 88
Thus, the volume of the pyramid is 88 cm³.
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If a statue made from 1000 cm^3 of bronze has a mass of 8.7kg. what is the mass of a statue made from 4500cm^3 of bronze?
Answers
Answer:
screenshot
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZ
Shoemakers of America forecasts the following demand for the next six months: 5000 pairs in month 1; 6000 pairs in month 2; 7000 pairs in month 3; 9000 pairs in month 4; 6000 pairs in month 5; 5000 pairs in month 6. It takes a shoemaker 20 minutes to produce a pair of shoes. Each shoemaker works 150 hours per month plus up to 40 hours per month of overtime. A shoemaker is paid a regular salary of $2000 per month plus $20 per hour for overtime. At the beginning of each month, Shoemakers can either hire or fire workers. It costs the company $1000 to hire a worker and $1200 to fire a worker. The monthly holding cost per pair of shoes is 5% of the cost of producing a pair of shoes with regular-time labor. The raw materials in a pair of shoes cost $10. At the beginning of month 1, Shoemakers has 15 workers and 500 pairs of shoes in inventory. Determine how to minimize the cost of meeting (on time) the demands of the next six months.
Answers
Answer:
5,000+6,000+7,000+,9,000+6,000+5,000= 38,000
Step-by-step explanation:
The minimum cost of meeting the demands of the next six months is $7475.00.
Here, we have,
To determine how to minimize the cost of meeting the demands of the next six months, we need to create a production and workforce plan that balances the demand for shoes with the available workforce and inventory.
Let's break down the problem into several steps:
Step 1: Calculate the regular production capacity and overtime capacity:
Regular production capacity: Number of regular working hours per month divided by the time it takes to produce a pair of shoes.
Overtime capacity: Number of overtime hours per month divided by the time it takes to produce a pair of shoes.
Given:
Regular working hours per month: 150 hours
Overtime hours per month: 40 hours
Time to produce a pair of shoes: 20 minutes (1/3 of an hour)
Regular production capacity = 150 hours / (1/3 hour) = 450 pairs per month
Overtime capacity = 40 hours / (1/3 hour) = 120 pairs per month
Step 2: Create a monthly production plan:
We will use the regular production capacity, overtime capacity, and inventory to fulfill the demand for each month.
Starting with the initial inventory of 500 pairs, we calculate the additional production needed for each month to meet the demand.
Month 1:
Demand: 5000 pairs
Additional production needed: 5000 - 500 = 4500 pairs
Month 2:
Demand: 6000 pairs
Additional production needed: 6000 - (500 + 4500) = 1000 pairs
Month 3:
Demand: 7000 pairs
Additional production needed: 7000 - (500 + 4500 + 1000) = 1000 pairs
Month 4:
Demand: 9000 pairs
Additional production needed: 9000 - (500 + 4500 + 1000 + 1000) = 2000 pairs
Month 5:
Demand: 6000 pairs
Additional production needed: 6000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs
Month 6:
Demand: 5000 pairs
Additional production needed: 5000 - (500 + 4500 + 1000 + 1000 + 2000) = 0 pairs
Step 3: Determine the hiring and firing decisions:
To minimize costs, we need to hire or fire workers based on the additional production needed for each month.
Based on the calculations from Step 2, we can identify the following hiring and firing decisions:
Month 1:
Additional production needed: 4500 pairs
Hire 5 workers (cost: 5 * $1000 = $5000)
Month 2:
Additional production needed: 1000 pairs
No hiring or firing needed (as the existing workforce can handle it)
Month 3:
Additional production needed: 1000 pairs
No hiring or firing needed
Month 4:
Additional production needed: 2000 pairs
No hiring or firing needed
Month 5:
Additional production needed: 0 pairs
No hiring or firing needed
Month 6:
Additional production needed: 0 pairs
No hiring or firing needed
Step 4: Calculate the costs:
Now, we can calculate the costs associated with hiring, firing, and production.
Hiring cost: $5000 (Month 1)
Firing cost: $0 (No firing needed)
Holding cost: 5% of the cost to produce a pair of shoes with regular-time labor, multiplied by the inventory at the beginning of each month.
Holding cost for Month 1: 0 (no inventory at the beginning of Month 1)
Holding cost for Month 2: 0.05 * ($2000 + 4500 * $10) = $237.50
Holding cost for Month 3: 0.05 * ($2000 + 5500 * $10) = $297.50
Holding cost for Month 4: 0.05 * ($2000 + 7500 * $10) = $475.00
Holding cost for Month 5: 0.05 * ($2000 + 7500 * $10) = $475.00
Holding cost for Month 6: 0.05 * ($2000 + 7500 * $10) = $475.00
Total cost:
Total cost = Hiring cost + Firing cost + Holding cost
= $5000 + $0 + ($237.50 + $297.50 + $475.00 + $475.00 + $475.00)
= $7475.00
Therefore, the minimum cost of meeting the demands of the next six months is $7475.00.
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someone please help!! will reward brainliest!
Answers
Add 7 to both sides seems like the best next step.
If not then add 9.
Tell me if i'm wrong
Answer:
Add 7 to both sides
I think that's the answer
Meg withdrew $300 from her account on Saturday. Then she deposited $174.83 into her account on Sunday. Meg wants to know how much would be in her brother's account if he has double her balance.
- A = -125.17
- B = -250.34
- C None of the above
Pls answer quick!!
Answers
−300 + 174.83 = -125.17. A is the answer!
solve the inequality please
Answers
Answer:
The solution is 4 >/= -21
4 is greater than or equal to negative 21
Step-by-step explanation:
7x + 4 >/= 7(x - 3)
We'll start by distributing the y7 to the items in parentheses
7x + 4 >/= 7x - 21
Subtract 7x from both sides
4 >/= -21
4. What type of line of symmetry does this triangle have? horizontal vertical This triangle has no line of symmetry. diagonal
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please help asap !!!!
Answers
Answer:
P = 3/8
q = 1/2
Step-by-step explanation:
(3/8)^3/8 × (3/8)^1/8 = P^q
Because of the same base, pick one of the bases
Then, add the powers
(3/8)^3/8 × (3/8)^1/8 = P^q
= (3/8)^3/8 + 1/8
= (3/8)^(3+1)/8
= (3/8)^4/8
= (3/8)^1/2
Therefore,
P^q = (3/8)^1/2
Where,
P = 3/8
q = 1/2
P^q = (3/8)^1/2
= √(3/8)
A cylinder has a base area of 64π m2. Its height is equal to twice the radius. Identify the volume of the cylinder to the nearest tenth.
V = 6434.0 m3
V = 2804.2 m3
V = 1402.1 m3
V = 3217.0 m3
Answers
Answer:
3215 .36 m³ is the required volume.
Step-by-step explanation:
Base area of Cylinder = 64π m²
Height of cylinder is equal to twice the radius .
As we know that ,
★Base Area of Cylinder = πr²
where,
π is taken as 22/7 or 3.14
r is the radius of cylinder
Substitute the value we get
↝ 64 π = πr²
↝ 64 = r²
↝ √64 = r
↝ 8 = r
↝ r = 8 m
Now, it is given that height is equal to twice of radius
Therefore ,
height = 2r = 2×8 = 16 m
★Volume of Cylinder = πr²h
substitute the value we get
↝ volume of Cylinder = 3.14 × 8² × 16
↝volume of Cylinder = 3.14 × 64 × 16
↝volume of Cylinder = 3215 .36 m²
Hence, the required volume of cylinder is 3215 .36 m³.
Answer:
3217.0
Step-by-step explanation:
What is the first step in evaluating the expression below?
12 + 6 - 4 X (12-5)
Add 12 + 6
O Multiply 4 x 12
Subtract 5 from 12
O Multiply 4x7
Answers
Determine whether the sampling is dependent or independent. Indicate whether the response variable is qualitative or quantitative.
A psychologist wants to measure the effect of music on memory. He randomly selects 80 students and measures their scores on a memory test conducted in silence. The next day he measures their scores on a similar test conducted while classical music is playing. The mean score without music is compared to the mean score with music.
A. quantitative, independent.
B. quantitative, dependent.
C. qualitative, dependent.
D. qualitative, independent.
Answers
Answer:
its B i did chapter 11 test yesterday
Step-by-step explanation:
Luke is driving from his house to the store. After driving 16 miles at a constant speed of 0.8 mile/minute, he realizes that he forgot his wallet. So, he turns around and drives all the way back to his house at the same speed. The equation below models Luke's distance, in miles, from home as he drives for t minutes. Using the given equation, match the number of minutes since Luke started driving from his house to his distance from the house. 12 minutes 27 minutes 31 minutes 7 minutes 10.4 miles on his return trip arrowRight 5.6 miles on his trip to the restaurant arrowRight 9.6 miles his trip to the restaurant arrowRight 7.2 miles on his return trip arrowRight
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Answer:
The number of minutes since Luke started driving from his house to his distance from the house is 40 minutes. :)
Step-by-step explanation:
Q: using the Substitution Method, and the value ory in
Using the Substitution Method, find the value of y in
the below system of equations?
-2y = 44 – 4
7x = -4y + 10
Answers
Answer:
Step-by-step explanation:
To properly apply the substitution method, it will be better for us to rearrange the system of equations to have similar variables on the same side
[tex]44 - 4 = -2y ----equation 1[/tex]
[tex]10 = 7x + 4y --- equation 2[/tex]
We can simply evaluate equation 1 to have
[tex]40 = -2y\\y = 40/-2 = -20\\[/tex]
y = -20
From the first equation alone, we can evaluate the value of y as -20. This is because only one unknown is present in equation one, hence a single equation is sufficient enough to evaluate it. If to unknowns were present, the two equations would have been utilized to evaluate the solution.
As part of the quality-control program for a catalyst manufacturing line, the raw materials (alumina and a binder) are tested for purity. The process requires that the purity of the alumina be greater than 84%. A random sample from a recent shipment of alumina yielded the following results (in percent):
93.2, 87.0, 92.1, 90.1, 87.1, and 93.4.
A hypothesis test will be done to determine whether or not to accept the shipment.
a. State the appropriate null and alternate hypotheses.
b. Compute the P-value.
c. Should the shipment be accepted? Explain.
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PLEASE HELP! I feel horrible and I'm crying so hard right now. This is due.
Answers
Answer:
62
Step-by-step explanation:
surface area of a rectangular prism = 2lw + 2lh + 2wh
Where l = length, w = width and h = height
The box has the following dimensions
length = 5 in
width = 3 in
height 2 in
Using these dimensions, we plug in the values into the formula
[tex]SA=2(5*3)+2(5*2)+2(3*2)\\5*3=15\\15*2=30\\5*2=10\\10*2=20\\3*2=6\\6*2=12\\SA=30+20+12\\30+20+12=62[/tex]
Hence, the surface area = 62
Can i get some help solving this problem please. 2x=x-10
Answers
Answer:
x=3.33
Step-by-step explanation:
2x=x-10
2x+x=10
3x=10
x= 10/3
x= 3.33
An equation always, sometimes, never has one solution?
Answers
Answer: An equation may have more than one solution, or the solution(s) may be complex, rather than real, but it will always have one solution - and sometimes more than one.
Step-by-step explanation: