Suppose 6 people can plant 12 trees in 3 hours. So, The people are needed to plant 28 trees in 5 hours and 15 minutes is 8.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
The time, t, in hours, that it takes x people to plant n trees varies directly
with the number of trees, and inversely with the number of people.
[tex]t \propto n\\\\t \propto \dfrac{1}{x}[/tex]
Suppose 6 people can plant 12 trees in 3 hours.
[tex]3 = 6k\\\\k = 1/2\\\\[/tex]
So, the people are needed to plant 28 trees in 5 hours and 15 minutes
= 8
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Susan has 3 shirts ; red, blue, and green; jeans and khakis; and 3 shoes; white, black, and tan , to choose from for her school outfit. How many different outfits can she create
Jackie is setting up chairs in the gymnasium for a magic show. She needs to have seats for 78 students and 3 teachers. She has to have 12 chairs in a row. How many rows will there be? How many seats will be empty?
a.
6 rows and 9 people will stand
b.
10 rows and no seats will be empty
c.
7 rows and 3 seats will be empty
d.
7 rows and 13 seats will be empty
9 and 3/4 divided by 4 and 1/8 as a fraction or mixed number in simplest form
If you can buy 1⁄3 of a pound of turkey for 4 dollars, how much can you purchase for 10 dollars? Write your answer as a fraction of a pound.
Answer:
[tex]\frac{5}{6}[/tex] pound of turkey you purchase for 10 dollars
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity 1 such as 3 meter per second or 4 miles per hour.
As per the statement:
If you can buy 1⁄3 of a pound of turkey for 4 dollars
by definition of unit rate we have;
[tex]\text{Unit rate per dollars} = \frac{\frac{1}{3} }{4} = \frac{1}{12}[/tex] pound of turkey.
We have to find how much can you purchase for 10 dollars.
[tex]\text{Weight of turkey for 10 dollars} = \text{Unit rate per dollars} \times 10[/tex]
⇒[tex]\text{Weight of turkey for 10 dollars}=\frac{1}{12} \times 10 = \frac{5}{6}[/tex] pound
Therefore, [tex]\frac{5}{6}[/tex] pound of turkey you purchase for 10 dollars
If 2 feet on a model represent 1/4 inch, then how many feet represent 1 inch
Find the value of 65 rounded to the nearest tenth
Antoine and 3 friends divide some pennies evenly among themselves. Each friend separates his pennies into 3 equal stacks with 5 pennies in each stack. write a multiplication sentence that shows
Answer:
4 × ( 3 × 5 ) = 60
Step-by-step explanation:
Answer:
4 × (3 × 5) = 60
Step-by-step explanation:
Total number of persons including Antony = 4
Number of stacks separated by each friend = 3
Number of pennies in each stack = 5
Number of pennies in all 3 stacks of one friend = 3 × 5
Number of pennies in all 3 stacks of 4 persons = 4 × (3 × 5) = 60
Hence, the multiplication sentence is 4 × (3 × 5) = 60.
A expression like ( 3+5) × (4-1) is a combination of numbers and at least one operation. Fill in the blank
An expression like (3+5) × (4-1) is a combination of numbers and at least one operation. The expression can be simplified by performing the operations in the parentheses first, then applying the multiplication operation.
Explanation:An expression like (3+5) × (4-1) is a combination of numbers and at least one operation. In this expression, the numbers 3, 5, 4, and 1 are combined using the addition and subtraction operations. The addition operation is represented by the symbol '+', and the subtraction operation is represented by the symbol '-'. The expression can be simplified by performing the operations in the parentheses first, then applying the multiplication operation:
(3+5) × (4-1) = 8 × 3 = 24
Which variable expression represents the word phrase? the sum of 12 and the quotient of 9 and a number
Answer:
The required expression is [tex]12+\frac{9}{y}[/tex].
Step-by-step explanation:
Consider the provided phrase.
The sum of 12 and the quotient of 9 and a number
Let the number is y and the quotient of 9 and a number can be written as:
[tex]\frac{9}{y}[/tex]
Thus, the sum of 12 and the quotient of 9 and a number can be written as:
[tex]12+\frac{9}{y}[/tex]
Hence, the required expression is [tex]12+\frac{9}{y}[/tex].
Josie has 250 cubic centimeters of candle wax. She wants to make a hexagonal prism candle with a base area of 21 square centimeters and a height of 8 centimeters. She also wants to make a triangular prism candle with a height of 14 centimeters. Can the base area of the triangular prism candle be 7 square centimeters?
Lyza has a 9 inch board. She wants to measure the length of a small rug in feet. How can she do this?
The length of a small rug in feet is 0.75.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Lyza has a 9-inch board.
She wants to measure the length of a small rug in feet.
For that,
divide the length by 12 inches.
Measure of the small rug,
= 9/12
= 0.75 feet.
Therefore, 0.75 feet is the small rug.
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What is 2+2 (experimental) i am just checking to see if this website works
Atlantic Auditorium has 850 seats. Tickets were sold for 816 of the seats. For what percent of the seats were tickets sold?
Answer:
96%
Step-by-step explanation:
Just divide 850 and 816 and you will get 0.96 which is 96 %.
Rhonda bought her son an inflatable pool for the summer. It took her 20 mins to fill the pool to a depth of 6 in. What is the unit rate per minute(in per minute)
What is the unit rate per inch(mins per in)
What is the slope intercept form of the linear equation x + 4y = 12
use the quadratic formula to solve 5x^2+2x-3
Marco has a jug with 37 1/2 ounces of juice .he wants to use some small cups to pass out as samples of the juice .each cup holds 2 1/2 of juices .how many cup can Marco fill with juice samples
compare the ratios 9/2 and 10/7
Which ordered pairs are solutions to the equation?
y = 3x – 4
A.
(11, 5) and (2, 2)
B.
(5, 11) and (3, 2)
C.
(5, 11) and (2, 3)
D.
(5, 11) and (2, 2)
The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $17,000.00, how much was the car worth when she bought it?
A.
$20,000.00
B.
$18,700.00
C.
$18,888.89
D.
$17,894.74
balance the equation out by filling in the blank for the missing number
89 - 45 = 90 - ____
with an examle
Andrea ordered a computer on the internet the computer cost $1399 plus 6 1/2% sales tax what was the total amount Andrea paid for her computer?
Answer:
$1489.94
Step-by-step explanation:
6 1/2 in decimal form would be 0.065
Multiply total by decimal.
1399 x 0.065
= 90.935
Add sum to total.
90.935 + 1399
= 1489.935
In money it would be rounded to
$1498.94
What number does ▲ stand for in this equation?
6 × 3 = (▲ × 5) – (▲ × 2)
A boa constrictor is 18 inches long at birth and grows 8 inches per year. Write an equation that represents the length Y (in feet) of a boa constrictor that is X years old.
This is writing equations in slope intercept form and I tried y=8x+18 but it didn't work.
Final answer:
The length Y (in feet) of a boa constrictor that is X years old is given by the equation Y = 0.6667X + 1.5. This equation takes into account the initial length of 1.5 feet at birth and an annual growth of 0.6667 feet.
Explanation:
To write an equation representing the length Y (in feet) of a boa constrictor that is X years old, we need to start with its initial length at birth and account for its growth over the years. The boa constrictor is 18 inches long at birth and grows 8 inches per year. However, we want Y to be in feet, so we must convert these measurements from inches to feet (since 1 foot = 12 inches).
To convert the initial length from inches to feet, we divide 18 inches by 12, which gives us 1.5 feet. The annual growth should also be converted from inches to feet by dividing 8 inches by 12, resulting in approximately 0.6667 feet.
So, using slope-intercept form (Y = mx + b), our equation is:
Y = 0.6667X + 1.5
This equation states that the boa constrictor starts with a length of 1.5 feet at birth (Y-intercept) and grows about 0.6667 feet for every year that passes (the slope).
slope slopeeeeeeee slopeeee
Convert 7.7km into miles if 1.6 km = 1 mile
Write an equation in slope intercept form for the total cost of any number of tickets at 7 tickets for $5
Sujat has 3 jump-ropes. The red jump-rope is 75 inches long. The blue jump-rope is 5 feet long. And the yellow jump-rope is 2 yards long. Decide which rope is longest, which is shortest, and which is in the middle.
is 3/2 and 18/8 proportional
If hot dog buns come in packages of 6 and hot dog buns come in packages of 8 what is the least number of hot dog and buns you could buy to have the same number of hot dogs and buns?