The area of rectangular shelf with length 5 feet and width 3 feet is 15 feet².
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The length of rectangular shelf = 5 feet
The width of rectangular shelf = 3 feet
We know that;
Area of rectangle = Length × Width
So, We get;
The area of rectangular shelf = 5 × 3
= 15 feet²
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is 1/5 bigger than 1/8
The perimeter of a rectangle is 30 inches. The length of the rectangle is 3 more than twice the width(w). Write an algebraic expression and determine how many inches long are the width and the length of a rectangle?
A motorboat takes 40 minutes to travel 20 miles downstream. The return trip takes 60 minutes. What is the speed of the current?
The speed of the current is 5 mph and this can be determined by using the concept of upstream and downstream.
Given :
A motorboat takes 40 minutes to travel 20 miles downstream.
When the boat is going downstream current helps the boat and hinders when the boat is going up.
So, the boat downstream speed is given by:
[tex]\rm s = \dfrac{20}{40}=0.5\;miles \;per\;minute=30\;mph[/tex]
The speed of the boat going upstream is:
[tex]\rm s = \dfrac{20}{60}=\dfrac{1}{3}\;miles \;per\;minute = 20\;mph[/tex]
So, the speed of the current adds when the boat is going downstream and subtracted when the boat is going upstream.
Let the speed of the current be 'c' then:
s + c = 30
s = 30 - c --- (1)
s - c = 20 --- (2)
Substitute the value of 's' inequation (2).
30 - c - c = 20
2c = 10
c = 5 mph
So, the speed of the current is 5 mph.
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A commercial jetliner has 245 passenger seats.The seats are arranged in 49 equal rows.How many seats are in each row
Wat is 2 1/3 in a decimal
Ben bought a digital camera for $90. The tax rate is 6%.
What is the total amount Ben paid for the digital camera?
Enter your answer in the box.
use rectangle model to find partial quotient of 246÷3
Nina paid the bill for dinner with her family. The total cost of the food was $65, and the restaurant added an 8 percent sales tax, $5.20, to the bill. Nina wants to pay a 15 percent tip on the total bill including sales tax. What is the amount of the tip?
A. $8.97
B. $9.75
C. $10.53
D. $14.95
Answer:
its c
Step-by-step explanation:
The amount of the tip of the total bill will be $10.53. Then the correct option is C.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Nina paid the bill for dinner with her family.
The total cost of the food was $65, and the restaurant added an 8 percent sales tax, $5.20, to the bill.
Then the amount of the bill will be
Bill = Cost of food + Sales tax
Bill = 65 + 5.2
Bill = $70.2
Nina wants to pay a 15 percent tip on the total bill including sales tax.
The amount of the tip of the total bill will be
Tip amount = 15% x $70.5
Tip amount = 0.15 x $70.5
Tip amount = $10.53
The amount of the tip of the total bill will be $10.53.
Then the correct option is C.
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Graciela picks a white mouse at random from a bin of 8 white mice 2 gray mice and 2 brown mice what is the probability
what is four- fifths of twenty
7(y-8)=7y+42 how many solutions does the following equations have
The equation 7(y-8)=7y+42 results in an implausible mathematical statement, meaning it has no valid solutions.
Explanation:To begin, we isolate variable y in the given equation 7(y-8)=7y+42. First, expand the product on the left-hand side, which will be 7y - 56. This provides the simplified form 7y - 56 = 7y + 42. From this equation, we realize that this is an equation that has no solutions because it results in an implausible statement: -56 is not equal to 42. If we try to solve such an equation, we reduce it to a statement that does not hold true in mathematics, leaving us with no valid solutions for variable y. Therefore, this equation has no solutions.
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An "A" train leaves a subway station every 12 minutes. An "E" train leaves every 9 minutes. If both trains just left the station on parallel tracks, when will both leave the station together again?
A. 108 minutes
B. 36 minutes
C. 72 minutes
D. 24 minutes
Both trains will leave the station together again in B. 36 minutes.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers.
We have been given that "A" train leaves a subway station every 12 minutes. An "E" train leaves every 9 minutes.
If both trains just left the station on parallel tracks, then both leave the station together again;
We will solving for the LCM (Least Common Multiple),
The LCM of 12 and 9
12 = 2 x 3 x 4 x 6 x 12
9 = 3x 1 x 9
The LCM of 12 and 9 is 36
Hence, Both trains will leave the station together again in B. 36 minutes.
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whats is 2,000,000×543,754
Can someone please explain an inequality?
A 2- liter bottle of water has a mass of 2 kilograms. How many grams is that?
To convert the mass of a 2-liter bottle of water from kilograms to grams, multiply 2 kg by 1000, resulting in 2000 grams.
A 2-liter bottle of water has a mass of 2 kilograms. To convert this mass into grams, we use the fact that 1 kilogram is equal to 1000 grams. Therefore, we perform a simple multiplication:
2 kilograms × 1000 grams/kilogram = 2000 grams.
So, the 2-liter bottle of water has a mass of 2000 grams.
what is 70.49 divided by 19?
Answer:
3.71
Step-by-step explanation:
We are asked to divide 70.49 by 19.
We know that 19 times 3 is equal to 57 and 19 times 4 is 76, so 19 will go in 70 for 3 times and give a remainder of 13.
9)70.49( 3
57
13
Now, we will bring down 4. To do so we need to put a decimal in quotient as:
9)70.49( 3.71
57
134
133
19
19
0
Therefore, 70.49 divided by 19 is equal to 3.71.
(22/7-2/3)÷2 is the value of (22/7-2/3)
To solve (22/7-2/3)÷2, find a common denominator and simplify within the parentheses, then divide the result by 2, giving the answer of approximately 1.2380952381.
To find the value of (22/7-2/3) divided by 2, you first need to calculate the expression within the parenthesis. You can start by finding a common denominator for 22/7 and 2/3, which is 21. Multiplying the numerator and denominator of 22/7 by 3 and 2/3 by 7 gives you
66/21 - 14/21 = 52/21
Now, you divide this result by 2, which is the same as multiplying by 1/2:
52/21 × 1/2 = 52/42 = 1.2380952381
If you use a calculator for the initial division, you have to ensure that you enter the calculation correctly to avoid errors. For example, using the expression 337/217, when calculated, gives you about 1.5529953917.
Proper use of parentheses is important to avoid mistakes like interpreting the expression as (5.7 x 2.8) / (3.1 x 4.2) instead of 5.7 x (2.8 / 3.1) x (1 / 4.2).
Which one don't belong; which expression does not have a two-digit quotient. 519÷6, 915÷7, 439÷7, and 812÷9
We need to find which of the expressions does not have a two digit quotient.
The only expression which does not have a two digit quotient is [tex]\dfrac{915}{7}[/tex].
Let us check each expression
[tex]\dfrac{519}{6}[/tex]
Dividing each by three
[tex]\dfrac{173}{2}=86.5[/tex]
So, the quotient is betweem 86 and 87.
[tex]\dfrac{915}{7}[/tex]
[tex]7\times 130=910[/tex]
[tex]7\times 131=917[/tex]
So, the quotient will lie between 130 and 131.
[tex]\dfrac{439}{7}[/tex]
[tex]7\times 62=434[/tex]
[tex]7\times 63=441[/tex]
So, the quotient will lie between 62 and 63.
[tex]\dfrac{812}{9}[/tex]
[tex]9\times 90=810[/tex]
[tex]9\times 91=819[/tex]
So, the quotient will lie between 90 and 91.
Hence, the only expression which does not have a two digit quotient is [tex]\dfrac{915}{7}[/tex].
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what fraction is less than 2/3
Callie loves flowers she picks.
4 tulips for every daisy she picks callie's mom also gave her 6 tulips this week from her garden.
how many tulips will Callie have this week if she picks 3 daisies
Answer:
18
Step-by-step explanation:
6 times 3 equals 18
Draw a bar model that shows how the number of hours in march compares with the number of hours in February of this year
Answer:
You should multiply with the days in March which is 744 hours. And then you have to multiply with the days in February witch is 696 and then you have to subtract them.
What is two rules for 4,8,9,18,19
A person runs 1 4 of a mile in 1 32 of an hour. Compute the unit rate by setting up a complex fraction and simplifying.
Answer:
8 miles per hour
Step-by-step explanation:
Given that a person runs a distance of 1/ 4 of a mile in 1/ 32 of an hour.
We have to compute the unit rate by setting up a complex fraction and simplifying
Let us find distance travelled in one hour.
[tex]\frac{1}{32} hour .... \frac{1}{4} miles\\1 hour ... \frac{1}{4} /\frac{1}{32}\\=\frac{32}{4} =8mph[/tex]
i.e. unit rate is he travels in one hour 8 miles.
Unit rate is normally for a single unit and other unit is left correspondingly
Here hour or time is made as unit i.e. one hour and distance travelled in one hour is calculated as 8 miles per hour.
what is the fraction of 0.56 in simplest form
Adult tickets to a basketball game cost 5$. Student tickets cost 1$. A total of 2,874$ was collected on the sale of 1,246. How many of each type of ticket were sold?
Using a system of linear equations, the problem is solved to find that 407 adult tickets and 839 student tickets were sold to attain a total sale of $2,874 from 1,246 tickets.
The student's question involves solving a system of linear equations which is a topic in Mathematics, typically covered at the high school level. The system to solve is based on the following two equations derived from the information given:
The total amount of money collected from selling adult and student tickets is $2,874.
The total number of tickets sold, which is 1,246.
We assign variables to represent the quantity of each type of ticket sold. Let A represent the number of adult tickets and S represent the number of student tickets. Thus, we have these two equations:
5A + 1S = 2874 (This equation represents the total money collected.)
A + S = 1246 (This equation represents the total number of tickets.)
To solve the system, we can use the method of substitution or elimination. We'll use elimination:
Multiply the second equation by 5 to have the same coefficient for A as in the first equation: 5A + 5S = 6230
Subtract the first equation from this new equation to eliminate A: (5A + 5S) - (5A + 1S) = 6230 - 2874, simplifying to 4S = 3356
Divide by 4 to solve for S: S = 839
Substitute the value of S back into the second original equation: A + 839 = 1246
Solve for A: A = 1246 - 839, so A = 407
So, 407 adult tickets and 839 student tickets were sold.
Whats the first step when solving for g? 6g-4=8
Zoey made 5 1/2 cups of trail mix for a camping trip she wants to divide the trail mix into 3/4 cup servings. What size would the servings need to be for everyone to have a serving
4/2= −4/−2 = 2 true or false and −4/2 = 4/−2 =2 true or false
Answer:
1) true
2) false
Step-by-step explanation:
1) 4/2=2
-4/-2=2
2)-4/2 = -2≠2
4/-2 = -2 ≠2
A real word problem that uses perpendicular.
Answer:
CircularPendicular
Step-by-step explanation:
6 and p - 6 in standard form