Answer:
Because it is a rectangle, the area is expressed as A = xy, or length times width.
Step-by-step explanation:
Because it is next to the river, he only needs to fence three sides, so F = x + 2y.
Knowing the amount of fencing available is 7500m, we get:
7500 = x + 2y solve for x
x = 7500 - 2y substitute into the area equation
A = (7500 - 2y)y distribute
A = -2y2 +7500y
You can see that this is a parabola which opens down, meaning that the point of maximum area will be at the vertex, y = -b/2a = -7500/[2(-2)] = 1875
x = 7500 - 2(1875) = 3750
A = 3750(1875) = 7,031,250 m2
If Farmer Ed has 3,500 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, Then 7,031,250 is the largest area that can be enclosed.
What is Rectangle?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).The opposite sides of a rectangle are equal and parallel.
As it is next to the river, he only needs to fence three sides, so F = x + 2y.
Knowing the amount of fencing available is 7500m, we get:
7500 = x + 2y
solve for x
x = 7500 - 2y
substitute into the area equation
A = (7500 - 2y)y
Distribute
A = -2y2 +7500y
You can see that this is a parabola which opens down, meaning that the point of maximum area will be at the vertex, y = -b/2a = -7500/[2(-2)] = 1875
x = 7500 - 2(1875) = 3750
A = 3750(1875) = 7,031,250 m².
Hence 7031250 is the largest area that can be enclosed.
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The volume of a cone is 1004.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? (Use π = 3.14.) 64 32 8 4
Answer:
r=8 8 is the answer
Step-by-step explanation:
I need help with this
John has pet rabbits in an enclosure that has an area of 30.72 square feet. The enclosure Taylor is planning to build for his rabbits will be 2.2 times as large as John's. How many more square feet will Taylor's enclosure have than John's enclosure?
Melissa's employer purchased a health insurance plan that costs $475 per month and requires that Melissa pay $85 toward the plan. What is the annual value of the employer's contribution
Answer:
4680 is correct
Step-by-step explanation:
A small fruit smoothie is 18 ounces while a large fruit smoothie is 21.96 ounces. The large fruit smoothie is _% larger
The equation of the line through point (- 4, 0) and parallel to the y-axis is
Answer: A.) x= -4.
hope this helps.
In which quadrant does the point (-16, 13) lie?
A. Quadrant III
B. Quadrant I
C. Quadrant II
D. Quadrant IV
It costs $2.80 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 170% of the cost. The sandwich sells for $___. what is the answer?
WILL GIVE BRAINLIEST!!!! DON'T JUST GUESS THE ANSWER BE SURE OF IT LOOK BELOW TO ANSWER MY QUESTION.
Match the following.
1 .
substitute
wages of sin
2 .
judicial
deliverance from sin
3 .
law
to transgress God's law
4 .
salvation
to take the place of another
5 .
death
an offering for sin
6 .
sin
functions of judge and law courts
7 .
mercy
God's commandments and precepts
8 .
administration
compassion
9 .
sacrifice
fairness; commitment to what is right and true
10 .
justice
management of governmental affairs
Answer:
1: Substitute-To take the place of another
2: Judicial-Functions of judge and law courts
3: Law-God's commandments and precepts
4: Salvation-Deliverance from sin
5: Death-Wages of sin
6: Sin-To transgress God's law
7: Mercy-Compassion
8: Administration-Management of governmental affairs
9: Sacrifice-An offering for sin
10: Justice-Fairness; Commitment to what is right and true
Hope this helps!
Write the following phrase as an algebraic expression. Use n for “a number.” three increased by the quotient of a number and two
The phrase 'three increased by the quotient of a number and two' translated into an algebraic expression is '3 + n/2'.
Explanation:To convert the given phrase 'three increased by the quotient of a number and two' into an algebraic expression, we first need to understand the mathematical operations involved in the phrase. 'increased by' is typically addition, 'the quotient of a number and two' signifies division. Using 'n' to represent 'a number', 'the quotient of a number and two' can be represented as 'n/2'. Now, 'three increased by the quotient of a number and two' can be written as '3 + n/2'. So, the algebraic expression for 'three increased by the quotient of a number and two' is '3 + n/2'.
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You have a restaurant bill of $61.45. If you are taxed 8.5% and decide to tip your server 15%, how much is your total?
61.45 times 8.5% = 5.22
61.45 + 5.22 = 66.67 total bill with tax
66.67 * 15% = 10.00
66.67 + 10 = 76.67 Total bill with tip
The lason school turns 101 years old in June. In order to celebrate, they ask each of 23 classes to collect 101 items and make a collage. How many total items will be in the collage Use mental math to solve explain your thinking
2,323 items
Further explanationGiven:
The Lason school turns 101 years old in June. In order to celebrate, they ask each of 23 classes to collect 101 items and make a collage.Question:
How many total items will be in the collage? Use mental math to solve explain your thinking.
The Process:
From the information above, let us create a suitable diagram as follows:
[tex] \boxed{23} \boxed{23} \boxed{23} \ ... \ \boxed{23} \boxed{23} [/tex]
1 2 3 ... 100 101
To obtain the total amount of items that will be in the collage, we multiply 101 by 23.
[tex]\boxed{ \ 101 \times 23 = \ ? \ }[/tex]
Prepare 101 as 100 + 1, rearrange the diagram.
[tex] \boxed{23} \boxed{23} \boxed{23} \ ... \ \boxed{23} \boxed{23} + \boxed{23} [/tex]
1 2 3 ... 99 100 + 1
Now, let us calculate.
[tex]\boxed{ \ = (100 + 1) \times 23 \ }[/tex]
[tex]\boxed{ \ = (100 \times 23) + (1 \times 23) \ }[/tex]
[tex]\boxed{ \ = 2300 + 23 \ }[/tex]
[tex]\boxed{\boxed{ \ = 2323 \ }}[/tex]
Thus there are 2,323 total items will be in the collage.
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Marita ate 1/2 pint of chocolate ice cream. Frankie ate 3/4 pint of strawberry ice cream. How much more ice cream did Frankie eat than Martia.
Answer:
1/4
Step-by-step explanation:
If Marita ate 1/2 pint of Chocolate Ice Cream and Frankie did 3/4 ice cream.
The point here is quantity of Ice Cream
Since 3/4 is > 1/2
3/4 -1/2= [tex]\frac{3-2}{4}=\frac{1}{4}[/tex]
Therefore Frankie ate 1/4 of ice cream more than Marita did
write the eqaution of a line perpendicular to 7x-9y=-8 that passes through the point ( -7,5)
BJ's Game Store buys video games for $30. They charge the customers $50 for the games. What is the percent markup ?
The markup percentage for the video games is 66.67%.
Markup Percentage Calculation:
Calculate the markup by subtracting the cost price from the selling price: $50 - $30 = $20.To find the markup percentage, divide the markup by the cost price and multiply by 100: ($20 / $30) * 100 = 66.67%.Please help me with #1
let apple juice = x
milk = 2x
fruit punch = 3x
3x + 2x + x = 660
6x = 660
x = 660/6
x = 110 apple juices
2*110 = 220 milks
3*110 = 330 fruit punches
Which answer shows these decimals written in order from greatest to least? 23.697 23.72 22.8
What scientific value for n will make this equation true?
(4.8 × 10–3)(n) = 9.6 × 109
To make the equation (4.8 × 10^–3)(n) = 9.6 × 10^9 true, the value of n is 2 × 10^12.
Explanation:To make the equation (4.8 × 10–3)(n) = 9.6 × 109 true, we need to find the value of n. Let's solve the equation:
First, divide both sides of the equation by (4.8 × 10–3). This simplifies the equation to n = (9.6 × 109) / (4.8 × 10–3).
Next, simplify the right side of the equation by dividing the numbers and subtracting the exponents: n = (9.6 / 4.8) × 109-(-3) = 2 × 1012.
Therefore, the scientific value for n that makes the equation true is 2 × 1012.
Final answer:
To solve for n in the equation (4.8 × 10–3)(n) = 9.6 × 10⁹, divide both sides by 4.8 × 10–3. After dividing the coefficients and subtracting the exponents, the scientific value for n is 2 × 10².
Explanation:
To find the scientific value for n that makes the equation (4.8 × 10–3)(n) = 9.6 × 10⁹ true, we need to isolate n by dividing both sides of the equation by 4.8 × 10–3.
Divide each side by 4.8 × 10–3 to get:
n = (9.6 × 10⁹) / (4.8 × 10–3)
Now, we divide the coefficients (9.6/4.8) and subtract the exponents of 10 (9 - (-3)) to find n:
n = 2 × 10²
So, the scientific value for n is 2 × 10².
Divide −85 ÷ 5 Please answer
What is the relationship between percents and decimals?
Final answer:
Percents and decimals are closely related in mathematics. A percent is a way of expressing a fractional amount using a whole divided into 100 parts. To convert between percents and decimals, you can write the percent as a fraction with a denominator of 100 and divide, or write the decimal as a fraction with a denominator of 100 and multiply.
Explanation:
In mathematics, percents and decimals are closely related. A percent is a way of expressing a fractional amount of something using a whole divided into 100 parts. To convert a percent to a decimal, you can write the value of the percent as a fraction with a denominator of 100 and divide the numerator by the denominator. For example, to convert 25% to a decimal, you can write it as 25/100, which simplifies to 0.25.
On the other hand, to convert a decimal to a percent, you can write the decimal as a fraction. If the denominator of the fraction is not 100, you can convert it to a fraction with a denominator of 100, and then write the fraction as a percent. For instance, to convert 0.75 to a percent, you can write it as 75/100, which simplifies to 75%. Thus, percents and decimals are equivalent representations of the same value.
What is 25 x 39 in distributive property
A culture of 1.75×1018 bacteria is in petri dish A. A culture of 6.25×1015 bacteria is in petri dish B. How many times greater is the number of bacteria in petri dish A than petri dish B? Enter your answer, in standard notation, in the box.
Diep is saving money so he can buy a used car in 12 months. The total cost of the car he wants is $1,450. Diep determines that he needs to save $120 each month to be able to afford the car, as shown below.
mc024-1.jpg
What error did Diep make?
There is a subtraction error. Diep will need to save less than $120 each month.
There is a subtraction error. Diep will need to save exactly $121 each month.
There is a multiplication error. Diep needs to save exactly $120.83 each month.
There is a multiplication error. Diep needs to save an average of mc024-2.jpg each month. Some months he needs to save $120.83 and other months he needs to save $120.84.
There is a multiplication error. Diep needs to save exactly $120.83 each month.
What is multiplication?Multiplication is an arithmetic operation in mathematics. It also entails using the same kinds of phrases over and over again.
Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.
Diep is saving money, so he can buy a used car in 12 months.
The total cost of the car he wants is $1,450.
1450 / 12
= 120.833
Now if we multiply by 12
12 x 120.83
= $1450
Therefore, there is a multiplication error.
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Helpp pls Whwt does this mean
A rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven. The function rule C = 0.20+ 150.00 describes the relationship between the number of miles driven m and the total cost C. If the rental car can only be driven a maximum of 200 miles, what is a reasonable graph of the function rule?
Answer:
Step-by-step explanation:
Given that a rental car company charges $150.00 for a weekly rental and an additional $0.20 for each mile driven
i.e. C = 150+0.20m where m stands for one mile driven.
i.e. even if a single mile is not driven also fixed rental of 150 dollars have to be paid
m can take a maximum of 200 miles
i.e. Domain = values of m =
[tex]0\leq m\leq 200[/tex]
Since m has a ceiling of 200, Cost can take maximum value of
C(200) = 150+40 =190
Thus C will lie between 150 and 190 only
So graph will have domain as between 0 and 200 and range as between 150 and 190
What is the value of b? −7.5(x−3)=3.75 Enter your answer in the box.
Answer:
premium answer :D
Step-by-step explanation:
A pizza is divided into 8 pieces, and 3 pieces are eaten. what fraction of the pizza has been eaten?
Final answer:
Three out of eight slices of pizza have been eaten, which is represented as the fraction 3/8.
Explanation:
If a pizza is divided into 8 pieces and 3 pieces are eaten, the fraction of the pizza that has been eaten is 3/8. To arrive at this fraction, you count the number of pieces eaten (3) and place that number over the total number of pieces the pizza was cut into (8). This fraction simply implies that for every eight slices that make up the whole pizza, three slices have been consumed. Fractions are a basic concept in mathematics that represent parts of a whole, and understanding how to express and manipulate these is crucial.
how do I solve this problem
to convert a fraction to a decimal, divide the top number by the bottom number
2 divided by 7 = 0.2857
rounded to the nearest thousandth = 0.286
Which expression has a value of 3?
a (12+6)÷3+3
b 12+6÷(3+3)
c (12+6)÷(3+3)
d 12+(6÷3+3)