Final answer:
The area of the circle, given its circumference of 65π, is calculated as 1056.25π, using the formulas for circumference and area of the circle in terms of the radius.
Explanation:
The circumference of a circle is given by the formula 2πr where r is the radius of the circle. Given that the circumference is 65π, we can find the radius by rearranging the formula: r = circumference / (2π) = 65π / (2π) = 32.5. Next, we use the formula for the area of a circle, which is A = πr², substituting the value we found for r:
A = π(32.5)² = π(1056.25) = 1056.25π.
Therefore, in terms of π, the area of the circle is 1056.25π, which corresponds to choice D of the provided options.
find the quotient 4298 divided by 4
We get a quotient of 1074 and a remainder of 2 when we divide 4298 by 4.
What is a quotient?A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.The quotient is the result of dividing two numbers by each other. As in the case of 8 ÷ 4 = 2, when the division produced the number 2, the outcome is the quotient. The dividend is 8 and the divisor is 4.So, the quotient of 4298/4.
Calculate: 4298/4
Remainder: 2Quotient: 1074(Refer to the image attached below for division calculation)
Therefore, we get a quotient of 1074 and a remainder of 2 when we divide 4298 by 4.
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300 girls were asked to name their favorite sport.12 girls said they like bowling. What is the percentage of girls who like bowling?
To calculate the percentage of girls who like bowling, you would divide the number of girls who like bowling (12) by the total number of girls (300) and then multiply by 100. This yields a result of 4%.
Explanation:To find the percentage of girls who mentioned bowling as their favorite sport, you would use the following formula:
Number of favorites / Total number * 100
In this instance, the calculation would be:
12 girls / 300 girls * 100
By doing this calculation, you get 4% which indicates that 4% of girls mentioned bowling as their favorite sport.
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A. sweater is marked down 33% off the original price. The original price was $37.50. What is the sale price of the sweater?
5 1/3• 3/8 please help me with this plzzzzz
can someone please help!
" Find the percent of change. Round to nearest whole percent if necessary. State whether the percent of change is an increase or decrease".
what is three hundred thousand, five thousand sixty-three written in standard form
The number three hundred thousand, five thousand sixty-three written in standard form is; 3.00563 × 10⁵.
According to the question;
We are required to write three hundred thousand, five thousand sixty-three in standard form.The number three hundred thousand, five thousand sixty-three written in digits is; 300,563.
When written in standard form as follows is; 3.00563 × 10⁵
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A trail mix has 4 cups of raisins, 3 cups of dates, 6 cups of peanuts, and 2 cups of cashews. Which ingredients are in the same ratio as cashews to raisins
instead of using the distributive property to expand 0.25 x (16.60a + 12.20y) could you have first found the sum 16.60a +12.20y explain
Answer:
Distributive property is the same as product of sum
So
0.25 (16.6 a + 12.2 y) = 0.25 × 16.6a + 0.25 × 12.2y = 0.25 [16.6 a + 12.2 y]
Michelle bought 2 tickets to a zoo. After she bought the tickets, her account balance showed a change of −$33.04. What would have been the change to Michelle's account balance had she bought only 1 ticket to the zoo?
Answer:
-$16.52
Step-by-step explanation:
I did this test and got 100% percent
What is the value of (-2.75)(-1.16)?
Answer:
3.19
Step-by-step explanation:
We are asked to find the value of the given expression [tex](-2.75)(-1.16)[/tex].
We can see that in our given expression two negative quantities are being multiplied.
We know that product of two negative quantities is positive, so our product will be positive as well.
[tex](-2.75)(-1.16)=3.1900=3.19[/tex]
Therefore, the value of our given expression is 3.19.
The price of an item has increased 15% since last year. However, a person can buy the item for a 25% employee discount. The employee pays $172.50. What was the price last year?
Answer:
The employee pays $172.50 and he got 25% employee discount.
If the cost is $100, he pays $(100 - 25) = $75.
So, employee pays =
100
------
75
.
172.50
= $230.00.
Again, price was increased by 15% last year. So whose cost is $100
is sold by $(100+15) = $115.
When sell price is $115, then cost price is $100. Then,
when sell price is $230, then cost price is
100
------
115
⋅
230
= $200.
Step-by-step explanation:
Mark bought a notebook for $1.45 and some pencils for $0.42 each. If the total cost was $6.91, how many pencils did he buy?
A.12
B.13
C.14
D.15
At Raging River Sports, polyester-fill sleeping bags sell for $79. Down-fill sleeping bags sell for $149. in one week the store sold 14 sleeping bags for $1456. How many of each type of bag were sold
The store sold 9 polyester-fill sleeping bags and 5 down-fill sleeping bags.
We need to find the number of polyester-fill and down-fill sleeping bags sold.
Let's denote the number of polyester-fill sleeping bags as x and the number of down-fill sleeping bags as y. The given equations based on the problem statement are:
x + y = 14 (the total number of sleeping bags sold)
79x + 149y = 1456 (the total sales from sleeping bags)
We can solve this system of equations using either the substitution method or the elimination method. By multiplying the first equation by 79, we have:
79x + 79y = 1106
Subtracting this new equation from the second equation gives us:
149y - 79y = 1456 - 1106
70y = 350
y = 5
Substituting y = 5 into the first equation:
x + 5 = 14
x = 9
The length of one side of a square city block is 462 meters what is the perimeter
The perimeter of square is 1848 m.
What is Perimeter of Square?All sides add up to the perimeter.
Square perimeter equals the sum of its four sides' lengths.
= side +side +side +side.
= 4 x sides.
Square's perimeter is therefore equal to 4s units.
Given:
Side of Square = 462 m
Now, Perimeter of Square = 4 x side
Perimeter of Square = 4 x 462
Perimeter of Square = 1848 m
Hence, the perimeter of square is 1848 m.
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a parking lot has 20 empty space. if the ratio of empty spaces to taken spaces is 5:2, how many spaces are there total?
The total number of spaces in the parking lot is 28, calculated by using the ratio of empty spaces to taken spaces (5:2) and knowing there are 20 empty spaces.
To calculate the total number of parking spaces in the lot, given a ratio of empty spaces to taken spaces, we use the information provided: there are 20 empty spaces and the ratio of empty spaces to taken spaces is 5:2. To solve this, set up a proportion with the given ratio:
5 (empty spaces) : 2 (taken spaces) = 20 (empty spaces) : x (taken spaces)
Now, cross-multiply and solve for x:
5x = 2 × 20
5x = 40
x = 40 / 5
x = 8
There are 8 taken spaces. Now, add the empty spaces to get the total:
Total spaces = empty spaces + taken spaces
Total spaces = 20 + 8
Total spaces = 28
So, the total number of spaces in the parking lot is 28.
A store sells 3 ears of corn for $1 they round prices to the nearest cent.Tell whether you would describe the relationship between cost and number of ears of corn as proportional relationship justify your answer
The relationship between the number of ears of corn and cost is proportional because for every set of 3 ears of corn bought, the cost is a consistent $1, which maintains a constant ratio.
Explanation:A store sells 3 ears of corn for $1, and they round prices to the nearest cent. We need to determine if this represents a proportional relationship between the cost and the number of ears of corn. A proportional relationship means that the ratio between two quantities is constant. Here, for every 3 ears of corn, the cost is $1. If we buy 6 ears of corn, the cost would be $2, and so on. This pattern indicates that the relationship is proportional because the ratio of corn to dollars is always 1:3 or $0.33 per ear of corn, rounded to the nearest cent.
How to use the distributive property to factor each polynomial?
Problem:
5z squared + 10z
what is the percent change of 150 to 175?
Maggie had $35.13. Then her mom gave her $7.50 for washing clothes. She was paid $10.35 for doing chores. How much money does Maggie have now?
Find the unit rate for each of the packages. Compare the unit rates. Which is the best price per bagel? A. 1 bagel for $0.79 B. 3 bagels for $2 C. 6 bagels for $4.20 D. 12 bagels for $9
Answer:
D
Step-by-step explanation:
James's garden has a length of 12 1/4 feet and a width of 9 2/3 feet. What length of fencing will he need to surround his garden? Please show how you got the answer.
James will need 43 5/6 feet of fencing to surround his garden.
What is the length of fencing needed to surround the garden?Given the parameter:
Length of the garden = 12 1/4 feet
Width of the garden = 9 2/3 feet
Perimeter =?
To determine the length of fencing James will need to surround his garden, we can use the formula for the perimeter of a rectangle:
Perimeter = 2( length + width )
Plug in the values and solve for the perimeter:
Perimeter = 2( 12 1/4 + 9 2/3)
Perimeter = 2( 49/4 + 29/3)
Perimeter = 2( 263/12 )
Perimeter = 263/6
Perimeter = 43 5/6 feet
Therefore, the needed length of fencing is 43 5/6 feet.
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Equation: (y+12)/(-4)=5
What is y?
The four digit 489A is divisible by 11.
What digit does A represent?
PLEASE ANSWER ASAP AND SHOW WORK!! A long distance phone company charges $0.027 per minute and a $2 monthly fee. Another long distance phone company charges $0.035 per minute with no monthly fee. Find the number of minutes for which the charges for both companies would be the same.
A book regularly sells for 28. If the is on sale for 20% off how much is the sales price of the book
I am a 3-digit odd number greater than 800. My tens digit is 2 less than my ones digit. I am divisible by 3 but not 5. The sum of my digits is 12. Whats the number? DUDE HURRY ALWAYS HAVE HOPE
Final answer:
The number that fits all the conditions given is 835. It's a 3-digit odd number greater than 800, with a sum of digits equaling 12, tens digit 2 less than the ones digit, divisible by 3 but not 5.
Explanation:
To solve the problem, we need to find a 3-digit odd number greater than 800, divisible by 3 but not 5, with the sum of the digits equaling 12 and the tens digit being 2 less than the ones digit. Starting with the sum of the digits being 12, we can form possible combinations of three digits that add up to 12. Considering that the number is odd and greater than 800, our hundreds digit must be 8. To be divisible by 3, the sum of the digits must also be divisible by 3, which we already know is valid. Now, since the number is not divisible by 5, the ones digit cannot be 0 or 5. Therefore, we establish our ones digit first, which could be 1, 3, 7 or 9. Since the tens digit is 2 less than the ones digit, we cannot have 1 as our ones digit because that would make the tens digit negative.
With these constraints in mind and trying possible combinations, we realize that a workable combination is 8 for the hundreds place, 3 for the tens place (2 less than 5), and 5 for the ones place, giving us the number 835. This number satisfies all conditions: it's a 3-digit number, odd, greater than 800, divisible by 3, not divisible by 5, and the sum of its digits is 12.
find the x and y intercepts of
y=1/2x+2
Matthew has 18 sets of baseball cards.Each set has 12 cards. About how many baseball cards does Matthew has in all ?
Write an equation in slope-intercept form for the line with slope
−4 and
y-intercept 1.
The equation of the line with a slope of −4 and y-intercept of 1 will be y = −4x + 1.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is negative 4. And the y-intercept of the line is 1. Then the equation of the line is given as,
y = −4x + 1
The graph of the line is given below.
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