division problems with quotient 9 remainder 5
Mary has 95 apples. Distributing 9 apples per friend and keeping 5 for herself, the quotient is 9, and the remainder is 5. Mary has 10 friends.
Mary has 95 apples and wants to distribute them equally among her friends, giving each friend 9 apples. However, she decides to keep 5 apples for herself. This situation can be represented by a division problem with a quotient of 9 and a remainder of 5.
The division equation is expressed as[tex]\( D = (q \times d) + r \),[/tex] where \( D \) is the total number of apples (95), \( q \) is the quotient[tex](9 apples per friend), \( d \)[/tex] is the number of friends, and \( r \) is the remainder (5 apples Mary kept). Substituting the given values into the equation:
[tex]\[ 95 = (9 \times \text{number of friends}) + 5 \][/tex]
To find the number of friends, rearrange the equation:
[tex]\[ 90 = 9 \times \text{number of friends} \][/tex]
Solving for the number of friends:
[tex]\[ \text{Number of friends} = \frac{90}{9} = 10 \][/tex]
Therefore, Mary has 10 friends, and each friend receives 9 apples, with Mary keeping the remaining 5 for herself.
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The probable question maybe:
Question: Mary has 95 apples. She wants to distribute them equally among her friends. If she gives each friend 9 apples and keeps the remaining 5 for herself, how many friends does Mary have?
Given statement: Division problem with quotient 9 and remainder 5.
the perpendicular line of x-6y=2, (2, 4) in slope intercept form
The equation of the perpendicular line in slope-intercept form is therefore y = -6x + 16.
To find the equation of the line perpendicular to x - 6y = 2 and passing through the point (2, 4), we first need to determine the slope of the given line. We can rearrange the equation into slope-intercept form, y = mx + b, by solving for y:
x - 6y = 2
-6y = -x + 2
y = (1/6)x - 1/3
The slope m of the given line is 1/6. The slope of the line perpendicular to it would be the negative reciprocal of 1/6, which is -6. Now, using the point (2, 4), we can substitute these values into the slope-intercept form and solve for y-intercept b:
4 = -6(2) + b
b = 4 + 12
b = 16
The equation of the perpendicular line in slope-intercept form is therefore y = -6x + 16.
Tom is afraid of heights above 9 feet. He is asked to repair a side of a high deck. The bottom of a ladder must be placed 6 feet from a deck. The ladder is 10 feet long. How far above the ground does the ladder touch the deck? Is tom afraid of the height
Donna put $450 into a 6-month certificate of deposit that earns 4.6% simple annual interest. How much interest did the certificate earn?
Answer:
10.35
Step-by-step explanation:
Describe how you labeled the bar model and wrote a number sentence to solve exercise 2
the morning tempature was -7C. By noon the tempature was 8C. how many degrees has the tampature risen
Daniel worked for 2 1/3 hours and earned $18.20, how much would he make if he worked for 5 1/4 hours?
To find out how much Daniel would make if he worked for 5 1/4 hours, divide his earnings in 2 1/3 hours by the number of hours worked. Multiply the hourly rate by 5 1/4 to calculate the total earnings.
Explanation:To find out how much Daniel would make if he worked for 5 1/4 hours, we need to determine his hourly rate first. We can do this by dividing the amount he earned in 2 1/3 hours ($18.20) by the number of hours he worked.
2 1/3 hours is equal to 7/3 hours. So, his hourly rate would be $18.20 / (7/3) hours.
To calculate how much he would make if he worked for 5 1/4 hours, we multiply his hourly rate by 5 1/4.
Let's perform the calculations:
Ali has 2 vegetable pizzas that she cuts into eighths. how many 1/8 slices does she have
What is a Cartesian coordinate plane (math)
Selina is planning to paint a large picture on a wall. She draws a smaller version first. The drawing is 8 inches by 6 inches. If the scale of the drawing is 2 in : 1 ft, what is the area of the actual picture on the wall?
If it's possible, can you list step-by-step the procedures? Thanks!
Final answer:
To find the actual picture's area, multiply the drawing's dimensions by the scale factor of 6, convert it to feet, and calculate the product to get 12 square feet.
Explanation:
The student asks for the area of an actual picture on a wall based on its scale drawing. The scale of the drawing is stated as 2 inches to 1 foot, which means each 2 inches on the drawing corresponds to 12 inches (1 foot) in reality. The steps to calculate the area are as follows:
Calculate the scale factor: Since 2 inches on the drawing corresponds to 12 inches, in reality, the scale factor is 12 inches \/ 2 inches = 6.Determine the actual dimensions: Multiply the dimensions of the drawing by the scale factor. The actual width is 8 inches * 6 = 48 inches, and the actual height is 6 inches * 6 = 36 inches.Convert dimensions to feet: Since 1 foot is 12 inches, the actual dimensions in feet are 48 inches \/ 12 inches per foot = 4 feet (width) and 36 inches \/ 12 inches per foot = 3 feet (height).Calculate the actual area: Multiply the actual dimensions. Area = width * height = 4 feet * 3 feet = 12 square feet.Therefore, the area of the actual picture on the wall is 12 square feet.
stans steakhouse has a server to cook ratio of 5 to 2 the total number of servers and cooks is 42 how many servers does Stans steakhouse employ
where does 1/8 and .25 go in the number line
there are 9 positions on the softball team. Three people are trying out for each position.How many people are trying out ?
What digit can be in the ones place of a number that has 5 as a factor?
If f(x)=5/2x+17, then find the value of f(12), f(-4), and f(0)
The function f(x) = 5/2x + 17 evaluated at the points 12, -4, and 0 yields values of 47, 7, and 17, respectively.
The student appears to be asking for the evaluation of a function f(x) at specific points, which is a common task in mathematics, specifically in algebra and pre-calculus courses. Assuming the correct function is indeed f(x) = 5/2x + 17, let's evaluate it at the requested points:
f(12) = (5/2) × (12) + 17f(-4) = (5/2) × (-4) + 17f(0) = (5/2) × (0) + 17By performing these calculations:
f(12) = 30 + 17 = 47f(-4) = -10 + 17 = 7f(0) = 0 + 17 = 17So the values of f(12), f(-4), and f(0) are 47, 7, and 17, respectively.
Chris has a loan for $4200 at a rate of 8% annually. If the interest is not compounded, how much interest will he pay in 6 years?
Answer:
The Answer is $2016.00
Step-by-step explanation:
i = prt = (4200)(0.08)(6) = 2016
Use the formula i = prt, where
p = principal or starting amount
r = interest rate expressed as a decimal
t = time in years
One half u subtracted from 3 times u
The expression 'one half u subtracted from 3 times u' translates into the algebraic expression 3u - (½u), which simplifies to 2½u or 2.5u.
Explanation:The expression 'one half u subtracted from 3 times u' can be translated into an algebraic expression. To do this, we need to understand basic operations with variables. One half of u is ½u or 0.5u, and three times u is 3u. Therefore, the expression would be written as 3u - (½u).
Subtracting one half of u from 3 times u involves the operation of subtraction, and when you subtract ½u from 3u, the resulting expression simplifies to 2½u or 2.5u. This shows how a grasp of fractions and variables allows us to manipulate and simplify algebraic expressions.
And an equation to 7*3.8
WHAT IS 9 percent of 3600
9 percent of 3600 is 324.
In order to find 9 percent of 3600, you need to use the formula for finding a percentage of a number. Here is the step-by-step process:
Convert the percentage to a decimal by dividing by 100. For 9%, this is: 9/100 = 0.09.Multiply the decimal by the number in question. For 3600, this is: 0.09 × 3600.Perform the multiplication: 0.09 × 3600 = 324.Therefore, 9 percent of 3600 is 324.
Holly earns $2 for each window she cleans. Write an equation to show the relationship between the number of windows she cleans,x.and the amount she earns y.
A ramp slopes from a warehouse door down to the street. The height of the ramp is 5 feet, and the ramp ends 10 feet from the base of the warehouse. What is the slope of the ramp?
Answer:
the answer is 1/2
Step-by-step explanation:
Melanie is making desserts for a holiday party. For one recipe, she needs 1/3 cup of flour, for another, she needs 1 3/4 of flour, and for another recipe, she needs 4 1/2 cups of flour. If she has 10 cups of flour in a bag, how much flour will be left in the bag?
what is the answer to 6 – 4r = -3r
Addison pays $36 for a 12-month magazine subscription. How much does Addison pay per month?
Answer:
3$
Step-by-step explanation:
just divide 36 by 12 to get 3.
the sale tax rate in Jans town is 7.5% if she buys 3 lamps for $23.59 each and a sofa for $769.99, how much sales tax does she owe?
Answer:
She owes $63.06 in sales tax.
Step-by-step explanation:
Cost of Lamps =
23.59*3= $70.77
Sofa = $769.99
Add them
769.99+70.77
=840.76
Percentage
7.5/100 *840.76
= 63.057
She owes $63.057 to sales tax
If you need to round the answer of $63.057, it would be rounded to $63.06.
if a sea otter swam 5.6 miles per hour for 1.5 hours, how many miles did the sea otter swim?
Multiplying the sea otter's swimming speed of 5.6 miles per hour by the time spent swimming of 1.5 hours, we find that the sea otter swam a total of 8.4 miles.
If a sea otter swam 5.6 miles per hour for 1.5 hours, we can calculate the total distance covered by multiplying the speed of the sea otter by the total time swum. This is because distance is the product of speed and time according to the formula:
Distance = Speed ×Time
So, for the sea otter:
Distance = 5.6 miles/hour × 1.5 hours = 8.4 miles
Therefore, the sea otter swam a total of 8.4 miles.
A square has a perimiter of 36 millimeters, What is the area of the square?
PLZ
0.04 is 10 times as much as
which is cheaper for a 65$ item that costs $7 .25 to ship?
A 10% coupon off the cost of the item or free shipping?
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