Answer:
41.65
Step-by-step explanation:
Multiply 49 by 0.15 and then subtract that number from 49.
Two similar triangular pastures meet at a
vertex, The dimensions are glven in yards,
How much fencing would be needed to
enclose the larger pasture?
11
7
5
13
x
у
A 28.2 yards
42.7 yards
47 yards
59.8 yards
Note that this is still a rectangle, and the length of the fencing is still 600 ft.
So the sum of the sides NOT along the river x + x + y = 600, and the area equals xy.
This makes the two equations: 2x + y = 600, and A = xy.
To find the largest area, we need to find A as a function of x or y. I suggest solving the first equation for y and replacing that in the second equation.
y = 600 - 2x. and A(x) = x(600-2x)
We now need to maximize A(x) = 600x - 2x2.
Remember, if x = -b/(2a), we find the x value of the vertex, the y value can be found by substitution.
So, since a = -2, and b = 600, x = -600/(-4) = 150 ft. If x = 150, y = 600 - 2(150) = 300.
So, the dimensions are 150 x 300 and the maximum area = 300(150) = 45,000 ft2
I hope this helps. By the way, there are many variations of this, and they are all similar. For example, you might want to make several pens with two lengths parallel and have three parallel withs inside.
Find the solution to the system of equations.
Answer:
3x - 2 = -5x + 6
8x = 8
x = 1
y = 3 (1) -2
y = 3 - 2
y = 1
Step-by-step explanation:
Answer:
x = 1 and y = 1
Step-by-step explanation:
We want to find the solution. Our equations are:
y = -5x + 6
y = 3x - 2
Let's set these two equations equal to each other:
-5x + 6 = 3x - 2
8x = 8
x = 1
Substitute this back into any of the two equations to solve for y:
y = 3x - 2
y = 3 * 1 - 2 = 3 - 2 = 1
Thus, the answer is (1, 1), or x = 1 and y = 1.
Dara invests $800 at 12.5% per
annum compound interest compounded
half-yearly .What in his amount of
interest at the end of the first year?
need help asap xd
Answer:
By the end of the first year Dara will have $903.125 in his account.
Step-by-step explanation:
Since this a compounded interest formula, it means that the amount invested grows exponentially overtime. In order to calculate the total of money over a period of time we must use the following formula:
M(t) = M(0)*(1 + r/n)^(n*t)
Where M(t) is the amount of money in "t" years, M(0) is the amount invested, r is the anual interest rate, n is the compound period over a year and t is the time elapsed in years.
In this problem the amount is compounded half-yearly, this means that for every year that passes the money is compounded twice, therefore n is equal to 2. Applying the data from the problem to the formula, we have:
M(1) = 800*(1 + 0.125/2)^(2*1)
M(1) = 800*(1.0625)^(2)
M(1) = 800*(1.0625)^(2) =903.125
By the end of the first year Dara will have $903.125 in his account.
PLs find x answer will get brainiest
Answer:
x = 52
Step-by-step explanation:
the right angle means 90 degrees so add 90 and 34 to get 124 then when u subtract from 180 degree (the degrees of a triangle) you get 54 degrees. that means that p has to be 124 degrees. 124 subtracted by 72 is 52. Therefore x is 52.
Listen
Cameron is going to the market to buy some vegetables. He has $20 to spend. He plans on buying peppers and onions. If he spends more than $12 on the onions, which inequality
represents the amount of money Cameron can spend on peppers, p?
Answer:
x = amount of money he spends on peppers
0<x<8
if it's 12 or more dollars than 20-12=8 which can be your greatest number and 0 being the lowest range based on the actual amount spent on onions. make sure to put a line under the inequality signs to show that it can also be equal to the number.
A right triangle has sides of length 3, 4, and x. Find x, if x were one of the legs. (Round your answer to the nearest hundredth)
Answer:
x ≈ 2.65(nearest hundredth)
Step-by-step explanation:
Base on your question the triangle is a right angle triangle. This means the triangle should obey the Pythagoras theorem.
Pythagoras theorem says
c² = a² + b²
where
c = hypotenuse of the triangle
a and b are called the legs of the triangle.
The hypotenuse is the longest side of the triangle.
Recall your question says the unknown side x is one of the legs of the triangle. That means the other legs will definitely be 3 since the hypotenuse should be the longest side of the triangle which is 4.
Using Pythagoras theorem
4² = 3² + x²
16 - 9 = x²
7 = x²
square root both sides
x = √7
x = 2.64575131106
x ≈ 2.65(nearest hundredth)
Do these side lengths make a right triangle? 6, 8, 10
Answer:
Yes
Step-by-step explanation:
[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]10^{2}[/tex]
36 + 64 = 100
The Pythagorean theorem is true.
PLEASE HELP with math
Answer: 113.1
2 π r
2 π 18
113.1 answer not sure if it is right
Step-by-step explanation:
Correct answers only!
To the nearest cent, how much interest will she earn in 3 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
1180.12
Step-by-step explanation:
p= 4000
r = 9% =0.09
t =3
plug in into B = p(1 + r)^t
B = 4000(1 + 0.09)^3
B = 4000(1.09)^3
B =5180.116 round to the 2 decimals
B = 5180.12
make the difference between B, the balance (final amount) and p, the principal (starting amount) = 5180.12-4000 =1180.12
Read more on Brainly.com - https://brainly.com/question/16685853#readmore
What is the value of y in the product of powers below?
8^3 8^-5 8^y= 8^-2=1/8^2
Answer:
y=0
Step-by-step explanation:
8^3 8^-5 8^y= 8^-2
We know that a^b * a^c = a^(b+c)
8^(3-5+y) = 8^-2
The bases are the same so the exponents must be the same
-2+y = -2
y = 0
Answer:
0
Step-by-step explanation:
Find AB
picture is attached
Answer: AB = 15 units long.
Step-by-step explanation:
The triangles are identical.
You can infer this from both triangles sharing the side of BD and AD and CD marked as equal in length.
When triangles are identical, all three sides and angles are identical in length and measure, respectively.
Knowing this, we can set the sides of "5x" and "4x + 3" equal to each other in an equation to solve for x:
5x = 4x + 3
x = 3
When x equals 3, multiply x by 5 to find the side length of AB.
AB = 15 units long.
What’s the slope of the equation y = x + 6
Answer:
m (slope)=1
Step-by-step explanation:
y=x+6(m is always found in front of X so m=1)
Answer: 1
Step-by-step explanation: This equation is written in y = mx + b form.
The slope of the line will be the coefficient of the x-term.
Remember, the coefficient is the number in front of the variable.
Notice that the x does not have a coefficient.
When that happens, when there is no number in front
of your variable, you can put a 1 there to fill that position.
So the slope of the line will is 1.
In a class of 40 students, 8 are in the drama club and 12 are in the art club. If a student is selected at random, what is the probability that the selected student is...
1
...in the drama club?
1
...in the art club?
Answer:
20 percent for drama club
30 percent for art club
Answer:
p(drama club) = 1/5
p(art club) = 3/10
Step-by-step explanation:
Total number of students = 40
Number of students in drama club = 8
p(drama club) = 8/40 = 1/5
Number of students in art club = 12
p(art club) = 12/40 = 3/10
i need to find the value of x in this picture
m<FJI=90°, so
[tex]x + x + 4 + 3x - 9 = 90 \\ 5x = 95 \\ x = 19[/tex]
Answer: x=19
Answer:
x=73
Step-by-step explanation:
3x-9+x+4+x=360
5x-5=360
5x=360+5
5x=365
x=365÷5
x=73
Is 5.130 greater than 5.13
Answer:
They are equal
Step-by-step explanation:
5.130 is equal to 5.13 because you simply added a zero onto the end of 5.13.
Adding a zero after a decimal is like adding a zero in front of an integer.
1.5 = 1.50
5 = 05
A cone has a 4 radius and a 8 height what is the volume
Hey there! I'm happy to help!
To find the volume of a cone, you multiply the base by the height and then divide by three.
First, we need to find the base. A cone has a circle for the base. To find the area of a circle, we square the radius and multiply it by pi (we will use 3.14).
4²=16
16×3.14= 50.24
Now, we multiply our base by the height.
50.24×8=401.92
Finally, we divide by three.
401.92÷3≈133.973 (to nearest thousandth)
Therefore, the volume of the cone is about 133.973 units cubed. If you were to use exact pi, it would be more like 134 because of all those decimals after pi!
Now you can find the volume of cones!
I hope that this helps! Have a wonderful day!
PLEASEEEE HELP MEEEE
Answer:
(0.5,0) , (-3,0) ,and (0,-1.5)
Step-by-step explanation:
Just look where the points touch the x- and y-axis.
It touches twice on the x- and once on the y-axis.
Hope that helps!
Which equation can be used to solve for x?
Choose from the Equation Bank!
Please Help!
Answer:
(2x-4)(x-4)=24*10
Step-by-step explanation:
Last equation from Equation bank
Which expression means the same as “subtract 3 from 7 and then multiply by 4”
Answer:
4 × (7 - 3)
Step-by-step explanation:
You first subtarct 3 from 7 and then multiply that answer by 4
Answer:
4 × (7 - 3)
Step-by-step explanation:
Can someone help me with these transformations// marking brain— due today.
Answer:
Read below.
Step-by-step explanation:
a. reflection over the x-axis, translate 2 units up
b. rotate 90° counterclockwise or 270° clockwise
c. use a scale factor of 2 and translate 3 units down, 3 units left
d. translate 8 units right, 7 units up
I'm not so sure about c since I do not like scale factors.
a x 10^5 + 2a x 10^4 = 7200000 and a x 10^5 - a x 10^4 = 5400000
Find the value of a
Answer:
60
Step-by-step explanation:
Looking at case 1.
a * 10^5 + 2a * 10 ^4= 7200000
a * 10 * 10^4 + 2a *10 ^4 =7200000
[10a + 2a] * 10^4= 7200000
12a= 7200000/ 10000
12a= 720
a= 720/12 = 60
Looking at case 2,
a * 10^5 - a * 10^4 = 5400000
a * 10 * 10^4 - a *10^4 = 5400000
10a* 10^ 4 - a * 10^ 4 = 5400000
[10a- a] *10^4 = 5400000
9a = 5400000/10000
9a= 540
a =540/9
a= 60
1. y = 5x − 6 m= _______ b=_________
Answer:
m = 5
b = -6
Step-by-step explanation:
y = mx + b
Answer:
m = 5 and b = -6
Step-by-step explanation:
y = mx + b
y = 5x + (-6)
Purple paint is a mix of blue paint and red paint in the ratio of 7:4
How much blue and red paint is needed to make 1650 mL of purple paint?
Pls
The table shows the results of selecting a marble from a bag without looking and then putting it back in the bag . Marbles Selected Color Time Selected Purple Orange Black White Green Using these results , what is the probability that a black marble will be the next color selected ?
Answer:
1 in 5
Step-by-step explanation:
PLEASE HELP! Riley reached into his pocket and pulled out a total of 27 coins, consisting of quarters and dimes. If the total value of the coins is $5.55, how many quarters does he have?
Answer:
He has 19 quarters.
Step-by-step explanation:
To solve this, we can set up a system of equations.
Let's first name our variables.
x: number of quarters
y: number of dimes
Using this, we can write the following equations.
Number of coins: x+y=27
Total Value: 0.25x+0.1y=5.55
We can rewrite the first equation to x=27-y by subtracting y from btoh sides. This way, we can substitute 27-y in for x.
0.25(27-y)+0.1y=5.55
Distribute.
6.75-0.25y+0.1y=5.55
Combine like terms.
6.75-0.15y=5.55
Subtract 6.75 from both sides.
-0.15y=-1.2
Divide both sides by -0.15
y=8
There are 8 dimes.
We can use that to find the number of quarters by plugging it in to one of the equations.
x+y=27
x+8=27
Subtract 8 from both sides.
x=19
He has 19 quarters.
hallar M x M / x + y =4
Answer:
M x M / x + y =4
Step-by-step explanation:
Michael is saving to buy his senior ring. The base cost of the ring is $280. There are also upgrades he can purchase for the ring. If he saves $35 each month, which solution represents how many months it will take Michael before he can purchase his ring?
Answer:
It will take him 8 months.
Step-by-step explanation:
If you divide 280 and 35 you get 8, which is the amount of months it takes.
Adrian and his children went into a bakery and where they sell donuts for $1.50 each and brownies for $2.50 each. Adrian has $40 to spend and must buy a minimum of 20 donuts and brownies altogether. If x represents the number of donuts purchased and y represents the number of brownies purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
10 donuts and 10 brownies
Step-by-step explanation:
In this case we must solve the system of equations that do not say in the statement:
at least 20 must be, therefore:
x + y = 20 => x = 20 - y
1.5 * x + 2.5 * y = 40
replacing:
1.5 * (20 - y) + 2.5 * y = 40
30 - 1.5 * y + 2.5 * y = 40
y = 40 - 30
y = 10
now for x:
x = 20 - 10
x = 10
therefore, to be a minimum of 20, they must be 10 donuts and 10 brownies
Graph this function Y=1x+3
Attachment below
Answer:
(1,3) (2,5)
Step-by-step explanation:
Keep going in a straight line like that. You choose a number for x, multiply with 1, then add 3. like if my x is 4 then 4 times 1 is 4 then i add three so seven, so (4,7)
Which is the largest?
4.8 x 10-6
1.3 x 1020
3.1 x 10-4
9.2 x 10-5
Answer:
1.3 x 1020
Step-by-step explanation:
4.8 x 10-6 = 42
1.3 x 1020 = 1326
3.1 x 10-4 = 27
9.2 x 10-5 = 87