Why is 25 mg lighter than 25 cg
Use the number line. What fraction of 1 foot is 3 inches? What fraction of 1 yard is 3 inches?
The fraction of 1 foot is 3 inches is, 1/ 4
And, The fraction of 1 yard is 3 inches is, 1 / 12
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
To find the fraction of 1 foot is 3 inches.
And, The fraction of 1 yard is 3 inches.
We know that;
As shown on the number line,
⇒ 1 foot = 12 inches.
Hence, To find fraction of a foot 3 inches is,
we have to compare 3 inches to 12 inches as;
3 / 12
1 / 4
Thus, The fraction of 1 foot is 3 inches is, 1/ 4
And, We know that;
1 yard = 36 inches
Hence, We get;
The fraction of 1 yard is 3 inches is,
⇒ 3 / 36
⇒ 1 / 12
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A particularly long traffic light on your morning commute is green on 20% of the mornings. assume that each morning represents an independent trial. (a) what is the probability that the first morning that the light is green is the fourth morning?
Find the 8th term in the arithmetic sequence An=-2x+4
Answer:
a(8) = -12
Step-by-step explanation:
The 8th term in the sequence is when n = 8. Substitute x = 8 into the rule An=-2x+4.
a(8) = -2(8) + 4
a(8) = -16 + 4
a(8) = -12
the temperature outside is -5°F name the temperature that would make the sum of the two temperatures 0°F
Harry's fitness trainer recommends that Harry drink 8 fluid ounces of water 8 times a day. Harry has a water bottle that holds 1 1/4 pints of water when filled. Today he has filled the water bottle three times and drank all of the water each time. Harry claims that he drank the total amount of water recommended by his fitness trainer. Explain why hair is claim is not true
Amount of fluid recommended by Harry's fitness trainer =8 fluid ounces of water 8 times a day = 8x8=64 fluid ounces.
Amount of fluid Harry water bottle holds= [tex] 1\frac{1}{4}=1.25 pints [/tex]
Amount of fluid Harry drinks when he fills the bottle 3 times = 1.25x3=3.75 pints.
1 pint = 16 fluid ounce
3.75 pint =16x3.75 =60 fluid ounces.
Harry drank only 60 fluid ounce compared to 64 fluid ounce his trainer recommended.
Harry claims that he drank the total amount of water recommended by his fitness trainer is not true.
Dylan is wrapping a birthday present for his sister. The box the gift is in has a length of 6 inches, a width of 5 inches, and a height of 3 inches. What is the minimum amount of wrapping paper Dylan will need to completely cover the box?
To compute for the minimum amount of wrapping paper Dylan will need to completely cover the box, you have to compute the surface area of the box. The formula in getting the surface area of a rectangle is:
A = 2WL + 2LH + 2HW
Substituting the given measurements to the formula:
A = 2(5)(6) + 2(6)(3) + 2(3)(5)
A = 60 + 36 + 30
A = 126 square inches
Therefore, Dylan needs to purchase at least 126 square inches of wrapping paper to completely cover the box.
Two teams of interns are wrapping donated gifts at a hospital. if the teams work alone, team a can wrap all of the gifts in 7 hours, and team b can wrap all of the gifts in 5 hours. how many hours will it take the interns to wrap all of the gifts if both teams work together? round the answer to the nearest half hour.
Final answer:
When both teams work together, they can wrap the gifts with a combined rate of 12/35 of the work per hour. It would take them 35/12 hours, which is approximately 2.92 hours. Rounded to the nearest half-hour, both teams will take about 3 hours to wrap all of the gifts.
Explanation:
To determine the time it would take for both teams of interns to wrap the gifts when working together, we need to add their work rates. Team A can wrap the gifts in 7 hours, which means their rate is 1/7 of the work per hour. Team B can wrap the gifts in 5 hours, giving them a rate of 1/5 of the work per hour.
When combined, the rate at which they can wrap the gifts together is the sum of their individual rates:
Team A's rate: 1/7
Team B's rate: 1/5
Combined rate: 1/7 + 1/5 = 5/35 + 7/35 = 12/35 of the work per hour.
To find out how many hours it will take them to wrap all of the gifts together, we divide the entire job (1) by their combined rate (12/35):
1 / (12/35) = 35/12 hours = 2.9166... hours.
Rounded to the nearest half hour, they would take approximately 3 hours to wrap all of the gifts.
Rewrite 5
16 + 6
20 with a common denominator.
helen didvided her colored pencils evenly among herself and three freinds. write an expression to represent the number of pencils each person received
The mathematical expression to represent the number of colored pencils each person received is [tex]\frac{P}{4}[/tex], where P represents the total number of pencils.
The question asks us to write an expression to represent the number of colored pencils each person received when Helen divided her pencils evenly among herself and three friends. To do so, we should first denote the total number of colored pencils Helen has as P. Since there are four people in total (Helen and her three friends), we need to divide the total number of pencils by four.
The expression to represent the number of colored pencils each person received is thus [tex]\frac{P}{4}[/tex]. This formula can be used to calculate how many pencils each person would get if you replace P with the actual number of pencils.
Tori Chang and her cousin, Sumi decide to open an accounting business. They will need a total of $60,000 to get the business started. Sumi has spent a lot of time getting the business set up, so Tori agrees to contribute $8,000 more than Sumi. How much money will Tori contribute?
A compact disc costs $17.97. The sales tax rate is 5%. How much will the total cost be for this compact disc?
From their office, Cathy drives due west while John drives south. When John is 7 mi from the office, the distance between them is 1 mi more than Cathy’s distance from the office. Find the distance between Cathy and John.
The access code for a gym lockergym locker consists of three digits. each digit can be any number from 00 through 77, and each digit can be repeated. complete parts (a) through (c). (a) find the number of possible access codes. (b) what is the probability of randomly selecting the correct access code on the first try? (c) what is the probability of not selecting the correct access code on the first try?
Which of these number words represents the numeral 4,056? four thousand, five hundred six four thousand, five hundred fifty-six four thousand, fifty-six four thousand, sixty-five
Solution:
we have been asked to find
Which of the given number words represents the numeral 4,056?
Its about the counting.
On unit place we have 6.
on Tenth place we have 5.
on hundredth place we have 0.
On Thousand place we have 4.
so in our number word representation there will be no "Hundreds".
So it will make
Hence the given number words representing the numeral 4,056 is Four thousands and fifty six
Look at this prism and its net. Rectangular prism with length labeled 5 meters, width labeled 7 meters, and height labeled 12 meters. Net of the same rectangular prism with the same dimensionsn labeled. What is the surface area of this rectangular prism? cm²
Answer:358
Step-by-step explanation:just because it is
Define the following terms. a. Dividend b. Divisor c. Quotient d. Remainder
Answer:
Dividend is the number which we divide. Divisor is the number by which we divide. Quotient is the quantity produced by the division of two numbers. Remainder is an amount left over after division.
Step-by-step explanation:
The volume of a cylinder is 24(pi) ft3. What is the volume of a cone that has the same base and height?
Need help in geometry!!!
A recipe for lemon cranberry pound cake calls for 80 milliliters of lemon juice and 240 milliliters of plain yogurt. How many liters of lemon juice and yogurt are needed to make 11 cakes?
Answer: 3 liters 520 milliliters
Step-by-step explanation:
80 ml + 240ml = 320ml
total amount for 11 cakes 320ml x 11 3520ml
total amount for 11 cake conversion 3520ml divided by 1000 = 3 remainder 520
Answeer is 3 liters 520 mililiters
Emma buys and sells truck parts. She bought two tires for $35.00 each and later sold them for $65.00 each. She bought three rims for $75.00 each and later sold them for $136.00 each. She bought five headlight covers for $4.00 each and later sold them for 15.00 each. What is Emma's total profit?
Answer:
Emma made a profit of $298.00
Step-by-step explanation:
Emma bought two tires = $35.00 each
Cost of two tires = 35 × 2 = $70.00
She bought three rims = $75.00 each
Cost of three rims = 75 × 3 = $225.00
She bought five headlight covers = $4.00 each
Cost of 5 headlight covers = 5 × 4 = $20.00
Total Cost price of the items = 70 + 225 + 20 = $315.00
She sold both tires = $65.00 each
= 65 × 2 = $130.00
She sold three rims = $136.00 each
= 136.00 × 3 = $408.00
She sold 5 headlight covers = $15.00 each
= 15 × 5 = $75.00
Selling price of all the items = 130 + 408 + 75 = $613.00
Profit = selling price - cost price
P = 613.00 - 315.00 = $298.00
Emma made a profit of $298.00
Imelda needs to convert 440 centimeters per minute to meters per hour. Which conversion factors should she use?
What is the value of the expression shown below?
3 + (2 + 8)^2 ÷ 4 × 1 over 2 to the power of 4 (4 points)
4 and 1 over 32
4 and 9 over 16
6 and 1 over 8
6 and 1 over 32
Answer:
4 and 9 over 16
Step-by-step explanation:
The expression is 3 + (2 + 8)^2 ÷ 4 × 1 over 2 to the power of 4 . it can be represented mathematically as
3 + (2 + 8)^2 ÷ 4 × (1/2)^4
using PEMDAS
parenthesis come first
3 + 10^2 ÷ 4 × (1/2)^4
exponential comes next
3 + 100 ÷ 4 × 1/16
3 + 25 × 1/16
3 + 25/16
(48 + 25)/16
73/16
4 9/16
Answer:
I think the answer is B which is 4 9/16.
Step-by-step explanation:
What are the roots of the polynomial equation x^3-10x=-3x^2+24? Use a graphing calculator and a system of equations.
a. -24, -3, 12
b. -12, 3, 24
c. -4, -2, 3
d. -3, 2, 4
Answer : C
the roots of the polynomial equation x^3-10x=-3x^2+24
We use a graphing calculator
Graph the left hand side expression using graphing calculator
We graph [tex]y=x^3 - 10x[/tex]
Then we graph the right hand side expression using graphing calculator
[tex]y=-3x^2+24[/tex]
so we got two system of equations
The intersection of two graphs is our solution
The graph is attached below
We can see that the graph intersects at 3 points
(-4, -24) (-2,12) and (3,-3)
So the roots are -4, -2 , 3
A dog that weighs 15 pounds should eat 2 1/8 cups of a certain type of dog food per day. How much of the same type of dog food should be fed, per day, to a dog who weighs 34 pounds?
Final answer:
To determine how much the 34-pound dog should eat, set up a proportion based on the 15-pound dog's food intake. After setting up the proportion 15 pounds / 2 1/8 cups = 34 pounds / x cups and solving it, we find that the 34-pound dog should eat approximately 4.82 cups per day.
Explanation:
The question deals with proportional relationships and mathematics, specifically in finding out how much dog food to feed a dog based on its weight. To solve this problem, we need to establish a ratio or proportion from the information provided and then use it to find out how much food the 34-pound dog should eat.
A 15-pound dog eats 2 1/8 cups of dog food per day. We convert 2 1/8 cups to an improper fraction which is 17/8 cups. Now, we set up the proportion:
15 pounds / (17/8 cups) = 34 pounds / x cups
By cross-multiplying we have:
15 * x = 34 * (17/8)
x = (34 * 17) / (8 * 15)
x = (578) / (120)
After simplifying the fraction, we obtain x = 4.8166 which we can round to 4.82 cups per day for a 34-pound dog.
Which equation represents an inverse variation function that passes through the point (4,5) and (10,2)
Answer:
[tex]y*x=20[/tex] or [tex]y=20/x[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
so
Find the value of k
For [tex](4,5)[/tex]
[tex]y*x=k[/tex] -----> [tex]5*4=k[/tex] ----> [tex]k=20[/tex]
For [tex](10,2)[/tex]
[tex]y*x=k[/tex] -----> [tex]2*10=k[/tex] ----> [tex]k=20[/tex]
The equation that represent an inverse variation is equal to
[tex]y*x=20[/tex] or [tex]y=20/x[/tex]
What is 15% of 40% of $180
Add -4 + 2/3 . A) -52/3 B) -42/3 C) -32/3 D) -31/3
whats the slope of this graph??
Create a 5th° polynomial with four terms in standard form