Answer:
20 and 3
Step-by-step explanation:
20 + 3 is 23 but 20 x 3 is 60
The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of
Answer:
The dimension of the sandbox is (2x+1) by (x - 3)
Step-by-step explanation:
It seems the complete question will be:
The area of sandbox in park is represented by 2X^2-5x-3 find the dimensions of the sandbox in terms of x.
Step-by-step explanation:
From the question, the given expression is 2X^2-5x-3. This can be rewritten as
[tex]2x^{2} -5x-3[/tex]
If the area of the sandbox in park is represented by this expression, then the dimensions of the sandbox will be the product of the factors. To determine the factors, we will factorize the given quadratic expression.
Factorizing the expression [tex]2x^{2} -5x-3[/tex], we get
[tex]2x^{2} -6x+x-3[/tex]
[tex]2x(x-3)+1(x-3)[/tex]
[tex](2x+1)(x-3)[/tex]
Hence, the dimension of the sandbox is (2x+1) by (x - 3)
By solving the inequality 10a < 50, the answer will be
a < 5
a < 8
a < 10
a < 50
Answer:
a < 5
Step-by-step explanation:
Given
10a < 50 ( divide both sides by 10 )
a < 5
Find the unit rate.
486 games every 3 seasons
The unit rate is
games per season.
Answer:
I believe the answer is 162 per season is the unit rate , I am really sorry if I am wrong.
Critique the reasoning of others. Sally states that the equation g(x) = x2 + 3x − 10 represents a quadratic function that is the product of the expressions that define the two linear functions a(x) = x + 2 and b(x) = x − 5. Is Sally correct? Explain.
Answer:
Step-by-step explanation:
No, not quite. She's close.
The middle term (often called the linear term) is + which means that the absolute value of the factors must be plus.
(x + 5)(x - 3) is what should should think.
x + 5 = 0
x = - 5
x + 2 = 0
x = - 2
(x + 5)(x - 2)
x^2 - 2x + 5x - 10
x^2 + 3x - 10
Pls pls pls pls help do not get giving branlist
Answer:
0.512 = 51.2%
1.94 = 194%
0.9 = 90%
1.33 = 133%
1.14 = 114%
1.42 = 142%
Step-by-step explanation:
To convert a decimal to a percent, move the decimal point two spaces to the right.
Converting a percent to a decimal works the same way, except you move the decimal two spaces to the left.
[Note: If there aren't enough numbers to go over two spaces, place a zero at the end. For example, if you have 0.9, and you need to convert it into a percent, you'd place a zero after the 9, making it 0.90.]
What subtraction sentence does this show?
A. 4.3 - (-0.9) = 5.2
B. 4.3 - 0.9 = 5.2
C. -4.3 - 0.9 = 5.2
D. -4.3 - (-0.9) = 5.2
the shopkeeper received an interest of $6159 from an investment that offers compound interest at 3.5% p.a. after 10 years. What is the initial investment amount? correct your answer to the nearest dollar.
Answer:
Amount invested = $15,000 (Approx.)
Step-by-step explanation:
Given:
Amount of interest received = $6,159
Rate of interest = 3.5%
Number of year = 10 year
Find;
Amount invested
Computation:
Using compound interest formula
I = P[(1+r)ⁿ - 1]
6,159 = Amount invested[(1+3.5%)¹⁰ - 1]
6,159 = Amount invested[(1+0.035)¹⁰ - 1]
6,159 = Amount invested[(1.035)¹⁰ - 1]
Amount invested = $15,000 (Approx.)
On a coordinate grid, a trapezoid has vertices at (−6, 9), (−6, 6), (3, −9), and (3, 12). Each square on the grid represents 1 square foot. Explain how to find the area of the trapezoid.
Answer:
The area of the trapezoid is 108 square feet
Step-by-step explanation:
The given vertices of the trapezoid are;
(-6, 9), (-6, 6), (3, -9, and (3, 12)
Let the letters A, B, C, and D represent the vertices of the trapezoid, we have;
A(-6, 9), B(-6, 6), C(3, -9) and D(3, 12)
The drawing of the trapezoid on the coordinate plane created with MS Excel is attached
The area of a trapezoid, [tex]A_T[/tex] = (a + b)×h/2
Where;
'a', and 'b' = The length of the bases (parallel sides)
h = The height of the trapezoid (The distance between the bases)
Let 'a' represent the length of the long base CD and let 'b' represent the length of the short base AB
a = √((-9 - 12)² + (3 - 3)²) = 21
∴ a = 21 feet
Similarly, we have;
b = √((9 - 6)² + (-6 - (-6))² = 3
The height, h = The distance between AB and CD = AE
We note that sides AB and CD are parallel to the y-axis, therefore, the height which is the perpendicular distance to the between AB and CD will be parallel to the x-axis
Therefore, the t-coordinates of the points A and E are both equal to 9 and the length of AE = √((3 - (-6))² + (9 - 9)²) = 9
The height of the trapezoid, AE = 9 feet
∴ The area of the trapezoid, A = (21 + 3) × 9/2 = 108
The area of the trapezoid, [tex]A_T[/tex] = 108 ft.²
7 + n = -5 what does n equal to.
Answer: n=-12
Step-by-step explanation: Hope this help :D
Answer:
hola
Step-by-step explanation:
pouta
C.
The high temperature this Sunday is expected to be 5 degrees warmer than the
high temperature this Saturday. Using the line c = 2t - 89, how many more
cups of lemonade should Lin expect to sell on Sunday than Saturday? Explain or
show your reasoning.
Answer: 10 more
Step-by-step explanation:
Because 2 x 79 -89 =69
69-59=10
Which polyhedra (regular or irregular) have perfect symmetry (plane of symmetry and rotation of symmetry) and why ?
Answer:
regular
Step-by-step explanation:
because an irregular polyhedron is formed by polygons of different shapes where all the components are not the same.
PLEASE PLEASE HELP DUE IN 18 minutes
Answer
5(3x+4y)
= 15x +20y
8. Delores bought 12 pizzas for a party she was giving
for Math Club. Some were pepperoni pizzas, x, which
cost $11 each, and the rest were mushroom pizzas, y.
The mushroom pizzas cost $2 less than the pepperoni
pizzas. Altogether, she paid $122 for the pizzas. How
many pepperoni pizzas did she buy?
No Links plz and thx
Answer:
7 pepperoni pizzas
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation x^2+11x+30=0x 2 +11x+30=0, which number would have to be added to "complete the square"?
Answer:
(11/2)² or 121/4 would be added to the equation x ² +11x+30=0, to "complete the square".
Step-by-step explanation:
x 2 +11x+30=0
Write the equation in the form of the square
(x)^2 + 2(x) (11/2) + (11/2)^2 + 30 - 121/4= 0
Square of the first element + 2 into first element into 2nd element + square of 2nd element gives the complete square formula.
How we obtained the second element?
The mid term broken must always be equal to the mid term given.
Hence
2(x) can only be equal to 11x if we multiply it by 11 and divide it with 2.
So the second term must be 11/2 .
To complete the square this second term ( 11/2)² is added and then subtracted to keep the equation equal to the original equation.
(x)^2 + 2(x) (11/2) + (11/2)^2 + 30 - 121/4= 0
Putting it in the form of square
(x+ 11/2)^2 + 120-121/4= 0
Taking LCM and solving
(x+ 11/2)^2 - 1/4= 0
(x+ 11/2)^2 = 1/4
Taking square root on both sides
(x+ 11/2) = ± 1/2
x= - 11/2 ± 1/2
x= -10/2= -5
x= -12/2= -6
The distance from the Earth to the Moon is 384 000 km. Work out the time it would take a car travelling at 100 km/h to travel 384 000 km. Give your answer in days
(Show your working out)
Answer:
3840
Step-by-step explanation:
thbyrtjnbyj
PLS HELP dont guess pls and send any links ty
Answer:
A) 4/15
Step-by-step explanation:
There are 15 total numbers that becomes 15 total possibilities
There are 4 numbers less than 5, so there is a 4 out of 15 chance one of those numbers get picked
Daisy purchased a food processor
for $23,000 in the year 2009. It loses its value by 7% per year. What is
the price of the food processor in 2012?
Answer:
$18500.21
Step-by-step explanation:
Good god, that is a really expensive food processor
a) If the blue squares
weigh 3 pounds each,
how much does each
green triangle weigh?
Answer:
they weigh 2 pounds each
What percent of the mornings was the pool temperature 80F or higher?
Answer:
50%
Step-by-step explanation:
whats is the value of 4+4
Answer:
8 is the answer \(-ㅂ-)/ ♥ ♥ ♥(╯°□°）╯︵ ┻━┻
Answer: 8
Step-by-step explanation:
Find the surface area of the following figure below. Use 3.14 for pi
Question:
Find the surface area of the following figure below. Use 3.14 for pi
Answer:
9
Step-by-step explanation:
The circle has the same value of the side which is 3 so the length and width is 3 too. So the formal is L x W = Area. So this means 3 x 3 = 9
A manufacturer is interested in creating a new item. His research team starts with a model consisting of the functions =−3(+2)2+3 , y = - 3 and y = 0. What is the height of the shape?
Answer:
[tex]x = -2[/tex]
Step-by-step explanation:
Given
[tex]y=\frac{-3}{(x+2)^2}+3[/tex]
[tex]y = - 3[/tex]
[tex]y = 0[/tex]
The question has confusing details because the height of a shape do not relate to the given parameters.
A more complete question found on the brainly shows that the complete question asks for the asymptote of the function.
To do this, we have:
[tex]y=\frac{-3}{(x+2)^2}+3[/tex]
Take LCM
[tex]y = \frac{-3 + 3(x+2)^2}{(x+2)^2}[/tex]
Equate the denominator to 0
[tex](x + 2)^2 = 0[/tex]
Take square roots of both sides
[tex]x + 2 = 0[/tex]
Solve for x
[tex]x = -2[/tex]
Hence, the asymptote is at [tex]x = -2[/tex]
Which greater than 4^3
Answer:
3^4
Step-by-step explanation:
4^3=64
3^4=81
Please help with this?
When solving the equation 3n2−15n=3 by completing the square, what is your first step?
Subtract 3 from each side of the equation.
Divide each side of the equation by 3.
Add 15n from each side.
Divide −15by 2 and square the result.
Answer: Subtract 3 from each side of the equation(A)
Step-by-step explanation:
3n2−15n=3
1:Subtract 3n2 from both sides.
-15n=3-3n2
2:Divide both sides by -15.
-15n/-15=3-3n2/-15
3:Dividing by −15 undoes the multiplication by −15.
n=3-3n2/-15
4:Divide 3−3n 2 by −15
n=n2-1/5
An equation is formed of two equal expressions. The first step in solving the given equation is to Subtract 3 from each side of the equation.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of the equation 3n²-15n=3 can be done as,
3n²-15n=3
3n²-15n-3=3-3
3n²-15n-3=0
(3n²-15n-3)/3=0/3
n²-5n-1=0
Therefore, the first step in solving the given equation is to Subtract 3 from each side of the equation.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ2
Simplify:3x×2x×x⁴ plz help me I am confuse I think the answer is 6x⁶ It is or not plz help me❤️❤️
Answer:
6x^2^x^2+x^4
Step-by-step explanation:
Answer:
Yes your answer is correct
Step-by-step explanation:
First of all you multiply 3x with 2x which equals 6x power 2 because we sum the power. Then we multiply 6x power 2 with x power 4 which equals 6x power 6 because X is 1X so the answer is 6X power 6
No LINKS PLEASE!!
2x+5→△ ← 4x−3
Answer:
x equals 4
Step-by-step explanation:
2 times 4 is 8 plus 5 is 13 and them 4 times 4 is 16 and 16 minus 3 is 13
WILL MARK BRAINLIEST.
Answer:
1. Proportional
2. Not proportional
3. Proportional
Step-by-step explanation:
You can tell because the line is straight, which shows how the graph is proportional. Hope this helps!
Phoebe Small borrows $50 from her parents to buy a dress she really likes. In return for her painting the garage, her parents agree to subtract $4 from what she owes for each hour she works. For what range of hours will her debt be below $30?
Pls help
Pls help
Pls help
Answer:
600ft²
Step-by-step explanation:
Oh boy, this is gonna be a long one, so proceed with caution:
So we're gonna start with the one to the very left, we can split this into three different rectangles:
So we got the length of the bottom minus the length we don't want there because we're doing the big rectangle:
35 - 10 = 25
25 x 20 = 500
So we're just gonna keep that on a back burner, cause now we gotta do the two smaller ones:
So we got the measure from the one side, but we gotta subtract the 10 from the other side:
20 - 10 = 10
10 x 10 = 100
Now we gotta add that all up:
500 + 100 = 600
So the area of the first shape is 600ft²
I gotta go, but hope this helps a little bit
Sam has a box shaped like a rectangular prism. It measures
1
6
inches in height, 1
3
in. wide and 1
2
in.
long. What is the volume of the box? Leave your answer as an improper fraction.
Answer:
Step-by-step explanation: