The back of Dante's property is a creek. Dante would like to enclose a rectangular area, using the creek as one side and fencing for the other three sides, to create a pasture. If there is 960 feet of fencing available, what is the maximum possible area of the pasture?
Answer:
Step-by-step explanation:
960/3. that's 320 a side. They said maximum, I'm guessing they just wanted you to use base times height as if it was a square, since I'm not seeing any other information. the maximum possible area would be, if the sides were 320 each would be 102,400 square feet. Maximum
Which fraction is equivalent to 2/6?
Answer:3/9
Step-by-step explanation: 2/6=1/3. And 1/3x3=3/9
Suppose that you borrow $11000 for 4 years at 6% toward the purchase of a car. Find the monthly payments and the total interest for the loan.
Answer:
The monthly payments ≅ $258.335
The total interest of the loan ≅ $1400.095
Step-by-step explanation:
The rule of the monthly payments is
[tex]M.P=\frac{P(\frac{r}{n})}{1-(1+\frac{r}{n})^{-nt}}[/tex] , where
P is the initial amountr is the rate in decimaln is the period in a yeart is the number of years∵ You borrow $11000
∴ P = 11000
∵ It will be for 4 years
∴ t = 4
∵ The rate is 6%
∴ r = 6% = [tex]\frac{6}{100}[/tex] = 0.06
∵ It is a monthly payment
∴ n = 12
→ Substitute these values in the rule above
∴ [tex]M.P=\frac{11000(\frac{0.06}{12})}{1-(1+\frac{0.06}{12})^{-12(4)}}[/tex]
→ Use your calculator to find the answer
∴ M.P = 258.3353195
∴ The monthly payments ≅ $258.335
→ The total interest of the loan is the difference between the total
of the monthly payments and the initial amount
∴ The total interest of the loan = T.M.P - P
∵ The total of the monthly payments = M.P × t × n
∴ The total of the monthly payments = 258.3353195 × 4 × 12
∴ The total of the monthly payments = $12400.09534
∵ The initial amount P = $11000
∴ The total interest of the loan = 12400.09534 - 11000
∴ The total interest of the loan = 1400.095
∴ The total interest of the loan ≅ $1400.095
A reflection across the x-axis maps the point (4,-5) to the point
Answer:
(4,5)
Step-by-step explanation:
A reflection is a mirror image of the shape.
A reflection across the x-axis maps point (4,-5) to point (4. 5).
What is reflection?A reflection is a mirror image of the shape.
After the reflection, every point in a figure is equidistant from each corresponding point in the reflected figure.
We have,
A point = (4, -5)
The point is reflected across the x-axis.
The reflection formula is given as:
Reflection across the x-axis:
(x, y) → (x, -y)
Reflection across the y-axis:
(x, y) → (-x, y)
The point (4, -5) reflected across the x-axis is:
(4, -5) → (4, - (-5)) = (4, 5)
Thus,
A reflection across the x-axis maps point (4,-5) to point (4. 5).
Learn more about reflections here:
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#SPJ2
Linear combination of matrices
Step-by-step explanation:
2B=
10 8 6
0 -6 6
4 12 14
6C=
24 30 36
42 0 18
6 -12 0
so 2B+6C=. 34 38 42
42 -6 24
10 0 14
I need help on this..
Answer:
you divide the big number by the little number
Step-by-step explanation:
Which of the following should come next at the end of this row of letters? XOOOOXXOOOXXX:
a. oxxx, b. ooxx, c. xooo
Answer:
b
Step-by-step explanation:
The correct option that should come next at the end of this row of letters is OOXX.
What is a sequence?A sequence can be defined as an arrangement of letters or numbers in a particular manner.
If you look at the given sequence it can be seen as the set of 5 letters where X is starting the set while O is ending the series. Also, the number of X will tend to increase in the next set as well while the number of O will be reduced. Therefore, the series can be seen as,
XOOOO XXOOO XXXOO XXXXO
Thus, the correct option that should come next at the end of this row of letters is OOXX.
Learn more about Sequence:
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Need help with both 7 and 8
Ben is training for a triathlon he runs 1/5 of a mile in 1/20 of an hour he swims 2/3 of a mile in 1/9 of an hour he bikes for miles in 1/4 of an hour at these rates how many minutes does it take Ben to run 2 miles and bike 8 miles?
Answer:120 minutes
Step-by-step explanation:
You see it's math
Answer:
110
Step-by-step explanation:
9.The Bridgeport water department has a monthly service charge of $12.60 and a volume charge of
$1.38 for every 100 cubic feet of water. Write an equation that can be used to determine the Morgan
family's monthly water bill.
[tex]y = 1.38x + 12.60[/tex]
Step-by-step explanation:
the 12.60 is going to be charged every months no matter what it's fixed so that's why it's added! the 1.38 is a rate, so how many cubic inches she uses in increments of 100 she will be charged so that depends on how much she uses in addition to that 12.60for example she uses 700 cubic feet of water once month well (x) will be 7 because u divide it by 100 and it'll give u ur "x". put it into the formula and it'll give the price she'll have to pay. 1.38(7) + 12.60 and this will equal $21.70 !Angles of a triangle are in the ratio 2:4:3the smallest angle of the triangle is
lines A and B are parallel,lines x and y are transversals. if angle 2 is 57 degrees and angle 3 is 85 degrees,find the measure of angle 5 will mark brainest
Answer:
38Step-by-step explanation:
see attached
Question 1
Select ALL expressions that are equivalent to 4x + 2(2x - 5) - (3 - 5x).
A
82 - 10 - 3 - 52
B
3.2 - 13
С
13 – 13
82 - 10 - 3 + 5%
E
83 - 5 - 3 - 5x
Answer:
B
Step-by-step explanation:
(x + 8)(x-8)
answer choices
A x2 + 8x + 64
B x²-64
C x² + 64
x2 + 16X - 64
Step-by-step explanation:
we know the formula(x^2-y^2)=(x+y)(x-y)
so (x+8)(x-8)=x^2-8^2=x^2-64
so the right answer is B
Am I correct?? Plz need help
how do i put this into factored form? (x-4)^2-9=0
Answer:
x=7,1
Step-by-step explanation:
Use Math Way
Write the equation of the line containing point (-3, 2) and having a slope of 6.
Answer:
y + 2 = 6(x - 3)
Step-by-step explanation:
Point-Slope Form: y + y₁ = m(x + x₁)
Simply plug in your known variables into the point-slope form to find your equation:
y₁ = 2
x₁ = -3
m = 6
y + 2 = 6(x - 3)
The ratio of apples to oranges in a basket of fruit is 2:7. There are 21 oranges in the
basket. How many apples are in the basket?
Answer:
6
Step-by-step explanation:
The given ratio specifies the number of apples to be found in the basket
for a given number of oranges.
Correct response:
The number of apples in the basket are 6 applesMethods of calculationThe given ratio of apples to oranges in the basket of fruits = 2:7
The number of oranges = 21 oranges
Required:
The number of apples in the basket.
Solution:
The given ratio can be expressed as follows;
[tex]\mathbf{\dfrac{Number \ of \ apples}{Number \ of \ oranges}} = \dfrac{2}{7} [/tex]Which gives;
[tex]\dfrac{Number \ of \ apples}{21} = \dfrac{2}{7} [/tex]
7 × (Number of apples) = 2 × 21
[tex]Number \ of \ apples = \dfrac{2 \times 21}{7} = 6[/tex]
The number of apples in the basket = 6 applesLearn more about ratios here:
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enrico is laying 1-ft tiles ok a square bathroom floor. if he needs 81 tiles to cover the floor, how many tiles run along each wall?
Answer:
9
Step-by-step explanation:
you would need to find the square root of the total amount of tiles. luckily 81 is a square number meaning the answer is each side is 9 tiles long.
1
kg = kg to g. help
g
Answer:
100 grams
Step-by-step explanation:
Formala: multiply the mass value by 100
Answer:
1,000g
Step-by-step explanation:
1kg is equal to 1,000 grams, so just convert it.
1 times 1,000 = 1,000
Which ordered pairs are solutions to the equation 5x+12y = 12?
Select the correct answer below:
a. (0,1)
b. (7,-6)
c. (6,5)
d. (2,3)
e. none of the above
Mel drove 432 miles during his trip. He drove an average of 72 miles per hour. How long was his trip?
Answer:
6h
Step-by-step explanation:
If he drove 72 mph and you know how long he drove, just need to divide:
[tex]Distance / Speed = Time[/tex]
Therefore:
[tex]432 / 72mph = 6h[/tex]
Answer:
hi its just like the dood above me said *dude sorry if i was late
Step-by-step explanation:
how do you solve
x2 - 4xy + 4y
Answer: x2-4xy+4y=2xy-5y+2y
Step-by-step explanation:
Divied. Reduce the awnser to lowest terms 4/5 divided by 16/15
Answer:
B:3/4
Step-by-step explanation:
4/5÷16/15= 4/5×15/16= 60/80.
And take 60/80 ÷ 2= 3/4
There is a parade coming through town, the route is 2 miles long with 10 foot wide sidewalks along each side. If the crowd is approximately 5 people per 16 square feet, how many people are estimated to be watching?
66 000 people
Step-by-step explanation:Hi there !
1 mile = 5280 feet
2 miles = 2×5280ft = 10 560 feet
Area = 2(10560ft×10ft) = 2×105600ft² = 211200 ft²
How many people are estimated to be watching?16 ft² ................ 5 people
211200 ft².........x people
x = 211200×5/16
= 1056000/16
= 66 000 people
Good luck !
Which expression is equivalent to the distance between -13 and -4 on a number line? I need some help
Answer:
9
Step-by-step explanation:
To solve this count from -4 and -13. So counting, we go -5, -6, -7, -8, -9, -10, -11, -12, and -13. To get from -4 to -13 we counted 9 numbers and that gets you your answer of nine. Hope that helps!
What is an equation of the line passes through the points (-6,2) and (6,-2)?
Answer:
The equation for the question above is y = -1/3x.
Ryan picked 7 apples.David picked 4 times as many apples.How manyapples did he picked
Answer:
28
Step-by-step explanation:
7*4
Ashley has sold 70% of the 20 candy bars she is supposed to sell for her softball team. How many candy bars does she have left to sell?
Answer:
70/100=x/20 cross multiply you get 1400/100=14
If Ashley sold 70% of her candy bars it means she has 30% left to sell
of means times
30%=.30
20 x .30= 6 candy bars to sell
Step-by-step explanation:
give brainliest please :)
Answer:
6
Step-by-step explanation:
70% of 20 is 14
20-14=6
let me know if im wrong
C - x = r - d , for x
Answer:
x = C+d-r
Step-by-step explanation:
C - x = r - d
-x = r - d - C
x = -(r - d - C)
x = -r+d+C
x = C+d-r