Answer:
Step-by-step explanation:
Given the dimension of the homeowner's backyard to be width 18 yards long and length 16 yards long, the area of the rectangular backyard id expreesed as;
Area of rectangle = Length * Width
Area of the rectangular backyard = 18yards * 16yards
Area of the rectangular backyard = 288yards²
If they plan to put in a square pool with side length 5 yards long in the backyard, the area of the pool = 5yd*5yd = 25yd²
The remaining area that will contain the tiles = Area of the rectangular backyard - area of the pool
The remaining area that will contain the tiles = 288yd² - 25yd² = 263yd²
Note that we cannot determine the amount of tiles they need to buy since we are not given the dimension of each tile to use. The area needed for the tiles for the rest of the backyard is therefore 263yd².
Amount of tiles needed to buy can be expressed as 263/dimension of a tile.
-4+7-2(3+1)
Orders of Operations
Answer:
-5
Step-by-step explanation:
BODMAS
-4+7-2(3+1)
bracket first
-4+7-2(4)
multiply
-4+7-8
addition
3-8
-5
What percent is $35 out of $200
Answer:
17.5
Step-by-step explanation:
35℅ of 100 is 35 so 200 would be half that
Answer:
Hey!
Your answer is 17.5%!
Step-by-step explanation:
Can be written as...35/200
Now...
MULTIPLY THE NUMERATOR AND DENOMINATOR BY 100...
35/200 × 100/100
35×100/200 × 1/100
SOLVED!!!
▶ HOPE IT HELPED ◀
Mike jogged 6 laps around a 0.25-mile track on Monday and 7 laps on Tuesday. How many miles did he jog on Monday and Tuesday combined?
Answer:
3.25 miles
Step-by-step explanation:
Combine the total laps by doing 6 + 7 to get 13. Then, multiple 13 by 0.25 to get your sum of 3.25 miles.
Will had $4355.19 in his checking account. He writes checks for $1,204.90 and $890.99. How much does Will have left in his account?
Answer:
$2259.30
Step-by-step explanation:
If will started with 4355.19$ in his checking account and wrote two checks, that mean he has taken money out of his account (subtraction operation). We can represent this with the expression:
4355.19 -1204.90 - 890.99
Using this expression, we can simplify to find the remainder of money Will has in his account once the two checks clear.
4355.19 - 1204.90 - 890.99
= 4355.19 - (1204.90 + 890.99)
= 4355.19 - (2095.89)
= 2259.30
So once the two checks Will wrote clears, he will have $2259.30 left in his checking account.
Cheers.
Answer:
$2259.28
Step-by-step explanation:
Will have $4355.19
Check writes ($1204.90+$890.99)
= $2098.89
Will have left in his account ( $4355.19 - $2098.89)
= $2259.28 (ans.)
What is the value of x?
Answer:
x = 28
Step-by-step explanation:
Given a line parallel to a side of a triangle and intersecting the other 2 sides, then it divides the sides proportionally, that is
[tex]\frac{AC}{CR}[/tex] = [tex]\frac{AD}{DR}[/tex] , substitute values
[tex]\frac{10}{x}[/tex] = [tex]\frac{15}{42}[/tex] ( cross- multiply )
15x = 420 ( divide both sides by 15 )
x = 28
Write each number in standard notation 2.7 time 10 to the 8 please explain step by step
Answer:
270,000,000
Step-by-step explanation:
2.7 time 10 to the 8 means 2.7*10⁸ in scientific notation
To put it in standard notation
Multiply 2.7 by 10⁸, which is 100,000,000
2.7*100,000,000 = 270,000,000Which expression is equivalent to √-60? A) -2√15 B) -4√15 C) 4i√15 D) 2i√15
Answer:
d) 2i√15
Step-by-step explanation:
60/4 is 15 so you can take out the square of 2 and the -
Which of the following is quadratic equation?
(a) x^2-79=x^2+9x+1
(b) 12x^2-7=0
(c) 3x^2+11x+14=x(3x+5x)
(d) -x^2+11x-18=0
Answer:
a c d
Step-by-step explanation:
a c d are quadratic equation expect "b"
On average, Jim hearts beat 75 times per minute. Calculate the number of times his heart beats during 50 weeks
Answer:
37800000
Step-by-step explanation:
75 x 60 = 4500
4500 x 24 = 108000
108000 x 7 = 756000
756000 x 50 = 37800000
A can of paint claims that one can will
cover 400 square feet. If you painted
a square with the can of paint how
long would it be on each side?
A 200 feet
C 25 feet
B 65 feet
D 20 feet
Answer: D. 20ft
Step-by-step explanation:
Answer:
The answer would be 20 feet.
Step-by-step explanation:
This is because square feet is referring to the area. And since the area = L * W and since the sides of the square are identical. It would be 20*20=400.
which function is shown on the following graph
Answer:
question is incomplete.
Step-by-step explanation:
Which statement about this system of equations is true? A. The system has no solution. B. The system has a unique solution at (0,6). C. The system has a unique solution at (0,-4). D. The system has infinitely many solutions.
Answer:
A. The system has no solutions
Step-by-step explanation:
Step 1: Check to see if the 2 lines share 1 slope
slope of blue line = [tex]\frac{y2-y1}{x2-x1} =\frac{7-6}{3-0}=\frac{1}{3}[/tex]
slope of red line = [tex]\frac{y2-y1}{x2-x1} =\frac{-3-(-4)}{3-0}=\frac{1}{3}[/tex]
Step 2: Realize that lines with the same slope never touch
We know lines with the same slope are parallel to each other so they won't collide
Step 3: Know what the question is asking you
When they ask for solutions to the system of equations they are asking you to find out where they intersect
Step 4: Find answer
Because we know this is a parallel line they will never intersect causing this system to never have an answer or solution
Therefore the answer is A. The system has no solutions
Answer:
[tex]\huge \boxed{\mathrm{Option \ A}}[/tex]
Step-by-step explanation:
For the system of equations to have solutions, the two equations have to intersect on the graph.
The two lines on the graph never intersect, therefore there are no solutions for the system of equations.
Lía gana $450 por semana más un 5% de comisión sobre sus ventas. Espera ganar al menos $600 cada semana. Escribe una desigualdad para representar la descripción verbal
Answer:
[tex]\$\,450+0.05\cdot V \geq \$\,600[/tex]
Step-by-step explanation:
El salario semanal es la suma de un coste fijo y un coste variable en función de las ventas logradas. El enunciado puede traducirse en la siguiente desigualdad:
[tex]\$\,450+0.05\cdot V \geq \$\,600[/tex]
Donde [tex]V[/tex] es el monto semanal de ventas, medido en pesos.
NEED HELP ASAP ALGEBRA 2
Find the third side in simplest radical form
Answer:
36
Step-by-step explanation:
a² + b² = c²
a² + 77² = 85²
a² + 5929 = 7225
a² = 1296
a = 36
Step-by-step explanation:
[tex] \sqrt{ {85}^{2} - {77}^{2} } [/tex]
[tex] \sqrt{1296} [/tex]
[tex] 36 [/tex]
The high temperature Monday was 4 degrees. The low temperature was -7 degrees. What is the difference between the high and low temperatures?
Answer:
Hey there!
We are trying to find the difference between 4 and -7
We can write -7+x=4, where x is the difference we are trying to find.
Solving for x, we get that the difference is 11.
Let me know if this helps :)
The difference between the high and low temperatures is 11 degrees.
Given :
The high temperature Monday was 4 degrees.
The low temperature was -7 degrees.
We need to find the difference between high and low temperatures .
To find the difference ,we subtract low temperature from high temperature
High temperature - low temperature
[tex]High - low \; temperature \\4-(-7)\\4+7\\11[/tex]
The difference between the high and low temperatures is 11 degrees.
Learn more : brainly.com/question/4600267
15⁹ / 15⁸= ; aplique la propiedad
The rule for dividing the exponential numbers is that:
x^n / x^m ( " ^ " is refer to show you the exponent)
= n-m .
So , 9-8 = 1 . and 15 to the power of 1 is equal to 15.
Look at the triangle ABC. What is the length of the side AB of the triangle? A.) 3 B.) 5 C.) Square root of 6 D.) Square root of 13
Answer:
The answer is option DStep-by-step explanation:
To find the length of AB we use the formula
[tex] \sqrt{ ({x _{1} - x_{2}})^{2} + ({y_{1} - y_{2} })^{2} } [/tex]
Where
(x1 , y1) and (x2 , y2) are the points
From the question
A is (4 , 5) B is (2 , 2)
So the length of AB is
[tex] |AB| = \sqrt{ ({4 - 2})^{2} + ({5 - 2})^{2} } [/tex]
[tex] |AB| = \sqrt{ {2}^{2} + {3}^{2} } [/tex]
[tex] |AB| = \sqrt{4 + 9} [/tex]
We have the final answer as
[tex] |AB| = \sqrt{13} [/tex]
Hope this helps you
Answer:
sqrt(13) = c
Step-by-step explanation:
The length of BC = 4-2 =2
The length of AC = 5-2 =3
We can use the Pythagorean theorem
a^2 + b^2 = c^2
2^2 + 3^2 = c^2
4+9 = c^2
13 =c^2
Take the square root of each side
sqrt(13) = c
(8x2 + 8x) – (-9x2 + 8x)
Answer:
17 x^2
Step-by-step explanation:
(8x^2 + 8x) – (-9x^2 + 8x)
Distribute the minus sign
8x^2 + 8x + 9x^2 - 8x
Combine like terms
17 x^2 +0x
17x^2
Answer:
17x^2
Step-by-step explanation:
(8x^2 + 8x) – (-9x^2 + 8x) =
The parentheses on the left side are unnecessary, so just remove them.
= 8x^2 + 8x – (-9x^2 + 8x)
To remove the right set of parentheses, distribute the negative sign.
= 8x^2 + 8x + 9x^2 - 8x
Now combine like terms.
= 8x^2 + 9x^2 + 8x - 8x
= 17x^2
Solve the equation 58 - 10x ≤ 20 + 9x
Answer:
x≥2
Step-by-step explanation:
First, write out the equation as you have it:
[tex]58-10x\leq20+9x[/tex]
Then, add [tex]10x[/tex] to both sides:
[tex]58-10x+10x\leq20+9x+10x\\58\leq20+19x[/tex]
Next, subtract [tex]20[/tex] from both sides:
[tex]58-20\leq20-20+19x\\38\leq19x[/tex]
Finally, divide both sides by [tex]19[/tex]:
[tex]\frac{38}{19}\leq\frac{19x}{19}\\2\leq x[/tex]
or
[tex]x\geq 2[/tex]
Therefore: the answer to this inequality/equation is: x≥2
what is x equal to? please answer asap. thanks!
Answer:
[tex]\Huge \boxed{{x=56\°}}[/tex]
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
Create an equation.
64 + x + 60 = 180
Solve for x.
Add the numbers.
x + 124 = 180
Subtract 124 from both sides.
x + 124 - 124 = 180 - 124
x = 56
Answer:
56°
Step-by-step explanation:
64 + 60 = 124180 - 124 = 56Why?
We did 64 + 60 because they are the two degrees that is given to us, and those two added with x will give us 180.When we add 64 and 60 together, we get 124. We then subtract that total from the total of the three angles to give us the remaining angle., which is 56.Therefore, x is 56°
A total solar eclipse in 2003 lasted 8 9/20 minutes and was viewed from the southern hemisphere. The next total solar eclipse in 2005 lasted 3 8/9 minutes and was viewed from the northern hemisphere. How much longer was the 2003 solar eclipse? The 2003 solar eclipse was minutes longer than the 2005 solar eclipse. (Simplify your answer. Type a whole number, proper fraction, or mixed number)
Answer:
20 mins
Step-by-step explanation:
2003 17 2005 20
fives times a number and the difference of 6
Answer: The equation that has resulted from this is 5x - 6.
Step-by-step explanation:
So far, we know that the givens are:
fives times a number and the difference of 6
Then, we can conclude that the term "a number" means an unknown term, so all we have to do is put a variable in its place. It can be k, s, h, z, x, etc. Next, just find the difference of 6. So, from what we know, this is what our new equation looks like:
5 times ( a number) - the difference of 6
In math form:
5 (x) - 6
Simplify:
5x - 6
Hence the answer!
The four angles in a quadrilateral are in the ratio 2:5:6:7. Find the smallest angle in the quadrilateral?
Answer:
36º
Step-by-step explanation:
Since all the angles are in a ratio, and all angles add up to 360º, we can set up a simple equation to find the smallest angle.
2x + 5x + 6x + 7x = 360
20x = 360
x = 18
18 is NOT the answer since the smallest angle has a ratio number of 2. So we multiply 18 with 2 to get 36º.
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Answer:
36
Step-by-step explanation:
The four angles of a quadrilateral add to 360
2:5:6:7
Multiply by x
2x:5x:6x:7x
Add them together to get 360
2x+5x+6x+7x = 360
20x = 360
Divide each side by 20
20x/20 = 360/20
x =18
The smallest angle is 2x
2*18 = 36
please help me solve this problem!
Answer:
X=12
Step-by-step explanation:
According to the similarity theory of triangles
-4(2x - 1) = -6(x + 2) - 2.
Answer:
x=9
Step-by-step explanation−4(2x−1)=−6(x+2)−2
(−4)(2x)+(−4)(−1)=(−6)(x)+(−6)(2)+−2(Distribute)
−8x+4=−6x+−12+−2
−8x+4=(−6x)+(−12+−2)(Combine Like Terms)
−8x+4=−6x+−14
−8x+4=−6x−14
Step 2: Add 6x to both sides.
−8x+4+6x=−6x−14+6x
−2x+4=−14
Step 3: Subtract 4 from both sides.
−2x+4−4=−14−4
−2x=−18
Step 4: Divide both sides by -2.
−2x
−2
=
−18
−2
x=9
Answer:
2
Step-by-step explanation:
This is our equation-
-4(2x-1)=-6(x+2)
We are trying to isolate x in a side, but first, we must multiply the numbers in between the brackets. A negative number multiplied by a positive number gives a negative number, and a negative times a negative is positive, so-
-8x·4=-6x+(-12)
Now we have to multiply -8x times 4
-32x=-6x-12
Now we isolate x-
-24x=-12
We divide and get the final result of x=2
x=2
Determine the A.P whose third term is 16 and the 7th term exceeds the 5th term by 12 (2m)
Answer: [tex]a_n=6n-2[/tex]
Step-by-step explanation:
a₁, ____, 16, ____, a₅, _____, a₇
The difference of a₇ and a₅ is 2d (two steps to the next term).
It is given that 2d = 12 --> d = 6
We can subtract 6 from a₃ to find a₁
a₁ = 4, 10, 16, ____, a₅, _____, a₇
Input a₁ = 4, d = 6 into the explicit formula for an arithmetic equation.
[tex]a_n=a_1+d(n-1)\\\\a_n=4+6(n-1)\\\\a_n=4+6n-6\\\\\large\boxed{a_n=6n-2}[/tex]
On a map, 1/4 inch between locations represents an actual distance of 2 miles between the locations. What is the actual distance, in miles, between the two cities that are 3 3/4 inches apart on the map?
Answer:
30 miles
Step-by-step explanation:
1/4 = 2
3 3/4 = x
15/4 = x
So, Cross multiply
=> 1/4 * x = 15/4 * 2
=> 1/4x = 15/4 * 4/2
=> 1/4x = 60/8
=> 1/4x = 7.5
=> 1/4x * 4 = 7.5 * 4
=> x = 30
So, 15/4 inches on the map equals 30 miles.
The first two terms of an arithmetic progression are 27 and 24 respectively. How many terms of the progression are to be added to get - 30?
Answer:
20 terms
Step-by-step explanation:
Given AP with the first two terms:
a₁= 27 and a₂=24Common difference:
d= 24-27 = -3To find
n for which Sₙ= -30SolutionSₙ = 1/2*n*(a₁+aₙ) = 1/2n(a₁+a₁+(n-1)d) =1/2n(27+27+(n-1)(-3))= 1/2n(54 - 3n + 3) = 1/2n(57 - 3n)Since Sₙ = -30
1/2n(57 - 3n) = -3057n - 3n² = -6019n - n²- 20 = 0n² -19 n -20= 0Solving the quadratic equation we get:
n =20So the sum of 20 terms will add up - 30
One of the angles of a regular decagon is 144°. What is the sum of the measures of all the interior angles of this decagon? A. 930° B. 1240° C. 1440° D. 1800°
Answer:
The answer would be c. 1440
Step-by-step explanation:
one of the angels would be 144 so you're gonna have to end up multiplying it by 10 which leads to 1440
Zoua’s older sister borrowed $3,000 from a bank to buy a used car. She asked Zoua to figure out the total amount she will have to pay back at a 4.6% simple annual interest rate over a period of 48 months. How much will Zoua’s sister have to pay the bank?
Answer: $3433.34
Step-by-step explanation:
48 months is the same as 4 years so we will represent the whole situation as.
3000 * 1.046^4 = 3433.34
Answer:
D. 3,552.00
Step-by-step explanation: