Answer:
(27xy +3)/5x^2 +6x
Step-by-step explanation:
((15xy^2 )/ x^2 + 5x + 6 ) × ((2x^2 + 7x + 3) / 5x^2y)
(3y ×(2x+ 7x + 3)) / 5x^2 +6x)
Find the surface area of the figure.
12 in.
SA = [ ? ]in.?
5 in.
16 in.
Answer:
SA = 664 in.²
Step-by-step explanation:
Surface area of the rectangular prism = 2(LW + LH + WH)
Where,
Length (L) = 16 in.
Width (W) = 5 in.
Height (H) = 12 in.
Substitute the values
Surface area of the rectangular prism = 2(16*5 + 16*12 + 5*12)
= 2(80 + 192 + 60)
= 2(332)
= 664 in.²
what does range mean in maths
The match starts at 14 55 and ends 1 hour 50 minutes later. Work out the time the match ends
what is the remainder of 14 divided by 54584
Tìm hai số có tổng là 177. Nếu bớt số thứ nhất đi 17 đơn vị và thêm vào số thứ 25 đơn vị thì số thứ nhất sẽ bằng 2/3 số thứ 2
Trả lời:
86 và 91
Giải thích từng bước:
Cho hai số là x và y. Nếu tổng của chúng là 177, thì;
x + y = 177 ... 1
Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17
Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25
Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:
x-17 = 2/3 (y + 25) .... 2
Từ 1, x = 177-y ... 3
Thay thế 3 thành 2
177-y-17 = 2/3 (y + 25)
160-y = 2/3 (y + 25)
3 (160-y) = 2 (y + 25)
480-3y = 2y + 50
-3y-2y = 50-480
-5y = -430
y = 430/5
y = 86
Vì x = 177-y
x = 177-86
x = 91
Do đó hai số là 86 và 91
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Data should be analyzed using each of the following except:
A. measures of central tendency
B. shape
C. population size
D. spread
the distance travelled by light in 1year is called light year. the valued of 1 light year is about 9460000000000km.express it in scientific notation.
Answer:
9.46×10¹²
Step-by-step explanation:
To express that number in scientific notation you have to move the invisible decimal point from the end to the left in between the first and second number to the left
9460000000000
9.46×10¹²
i hope this helps and if you have any more questions please feel free to ask.
Write the ratio $150 : $450 : $750 in its simplest form.
Lets do
[tex]\\ \Large\sf\longmapsto 150:450:750[/tex]
[tex] \\ \Large\sf\longmapsto \frac{150}{ \dfrac{450}{750} } \\ \\ \Large\sf\longmapsto \frac{15}{ \dfrac{45}{75} } \\ \\ \Large\sf\longmapsto \frac{3}{ \dfrac{9}{15} } \\ [/tex]
Simplified ratio is
[tex]\boxed{\LARGE{\sf \$1:\$3:\$5}}[/tex]
Answer:
1 : 3 : 5
Step-by-step explanation:
$150 : $450 : $750
Divide each by 150
$150/150 : $450/150 : $750/150
1 : 3 : 5
What is the value of x in the diagram below?
X + 2
8.
х
Answer:
15
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]x^2 +8^2=(x+2)^2[/tex]
we can simplify 8 squared to 64, and we can use FOIL to expand x plus 2 squared.
[tex](x+2)(x+2)=x^2+4x+4[/tex]
We have
[tex]x^2+64=x^2+4x+4[/tex]
We can subtract x squared plus four from both sides to get
[tex]60=4x[/tex]
Dividing by 4, we get [tex]x=15[/tex]
Answer:x=15
Step-by-step explanation:
remember the Pythagorean Theraum(sorry about spelling)
a^2 +b^2=c^2
the shortest is a^2 , b^2 is the second shortest, and c^2 is the hypotenuse, or the longest.
currently the hypotenuse (c^2)is x+2, (b^2) is x, and a^2 is 8
8x8=64
64+x^2=(x+2)^2
try solving it now.
64+15^2=(15+2)^2
289=289
So, x=15
Write an expression for the sequence of operations described below.
the product of the quotient of y and 7 and the sum of 4 and 9
Do not simplify any part of the expression.
Answer:
(y/7)x(4+9)
Step-by-step explanation:
statement one y/7
statement two 4+9
(y/7)x(4+7)
please help me with this also if your good at geometry please dm me I need serious help!!
Answer:
0.92
Step-by-step explanation:
cosine = adjacent/ hypotenuse
cosine of t = 12/ 13
cos t= 0.92308
What is the solution to the system of equations graphed below?
Answer:
A
Step-by-step explanation:
The solution to a system of equations is the point of intersection of the 2 lines.
The lines intersect at (6, 9 ) ← solution
Answer:
A(6, 9)
Step-by-step explanation:
The intersecting points of the two lines gives the solution of the equation.
Use properties to evaluate
(2)-27
3)
QUESTION
3
-3
O O O O
27
-27
please show work it’s for calc
Answer:
24
Step-by-step explanation:
The question is asking for the net area from x=3 to x=10.
It gives you the net area from x=3 to x=5 being -18.
It gives you the net area from x=5 to x=10, being 42.
Together those intervals make up the interval we want to find the net area for.
-18+42=42-18=24
Answer:
[tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24[/tex]
General Formulas and Concepts:
Calculus
Integration
IntegralsIntegration Property [Splitting Integral]: [tex]\displaystyle \int\limits^c_a {f(x)} \, dx = \int\limits^b_a {f(x)} \, dx + \int\limits^c_b {f(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^{5}_3 {f(t)} \, dt = -18[/tex]
[tex]\displaystyle \int\limits^{10}_5 {f(t)} \, dt = 42[/tex]
[tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt[/tex]
Step 2: Integrate
[Integral] Rewrite [Integration Property - Splitting Integral]: [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24 = \int\limits^5_3 {f(t)} \, dt + \int\limits^{10}_5 {f(t)} \, dt[/tex][Integrals] Substitute: [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24 = -18 + 42[/tex]Simplify: [tex]\displaystyle \int\limits^{10}_3 {f(t)} \, dt = 24[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
In how many years will the interest of a sum Rs 3600 at the rate of 5.5% per year be Rs 594.8?
Answer:
in 3.04 years the will give required intrest
The area of a rectangular ceiling tile is 756 square inches. The perimeter is 114 inches. What are the dimensions of the tile?
Here we need to use what we know about rectangles to make a system of equations.
By solving that system we found that the tile has a length of 36 inches and a width of 21 inches.
Remember that for a rectangle of length L and width W, the perimeter is:
P = 2*(L + W)
And the area is:
A = W*L
Here we know that the perimeter is 114 inches, then we can write:
114in = 2*(L + W)
We also know that the area is 756 in^2, then we can write:
756 in^2 = L*W
So we found two equations, which means that we have a system of two equations with two variables:
114in = 2*(L + W)
756 in^2 = L*W
To solve this, the first step is to isolate one of the variables in one of the equations, we can isolate L in the first equation:
114in = 2*(L + W)
114in/2 = (L + W)
57in = L + W
57in - W = L
Now that we have an expression equivalent to L, we can replace it in the other equation to get:
756 in^2 = L*W
756 in^2 = (57in - W)*W
Now we can solve this for W.
756 in^2 = W*57in - W^2
W^2 - W*57in + 756 in^2 = 0
The solutions are given by the Bhaskara's formula:
[tex]W = \frac{57in \pm \sqrt{(-57in)^2 - 4*1*(756in^2)} }{2*1} = \frac{57in \pm 15in}{2}[/tex]
Then the two possible values of the width will be:
W = (57in + 15in)/2 = 36 in
W = (57in - 15in)/2 = 21 in
Suppose that we choose the second solution, W = 21in
Now using the equation 57in - W = L we can find the value of L
L = 57in - W = 57in - 21in = 36in
L = 36in
Then we found that the tile has a length of 36 inches and a width of 21 inches.
If you want to learn more, you can read:
https://brainly.com/question/11137975
A conical lid’s height is 2 centimeters less than the radius, x, of its base. If the lid is made of 25π cubic centimeters of clay, the equation x3 +? x2 +? = 0 can be used to find that the radius of lid’s base is centimeters.
The required expression that can be used to find the radius of the conical lid's with a height 2 centimeters less than the radius, x, of its base is x³-2x²-75 = 0
The formula for calculating the volume of the conical lid's is expressed as
[tex]V = \frac{1}{3} \pi r^2h[/tex] where:
r is the radius
h is the height
v is the volume
Given the following
r = x
If the conical lid’s height is 2 centimeters less than the radius, x, then;
h = x - 2
V = 25π cm³
Substitute the given values into the formula as shown:
[tex]25 \pi = \frac{1}{3} \pi x^2 (x-2)\\3(25) = x^2(x-2)\\Expand\\75=x^3-2x^2\\Swap\\x^3-2x^2 = 75\\Equate \ to \ zero\\x^3-2x^2 - 75 = 0[/tex]
Hence the required expression that can be used to find the radius of the conical lid's with a height 2 centimeters less than the radius, x, of its base is x³-2x²-75 = 0
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. b BA ∩ LC = K ∆BLK ≅ ∆ ______ by _______. PLZ ANSWER FAST!!!!!!!!
Answer:
Cannot be determined.
Step-by-step explanation:
The triangle has three different angles which are not congruent. The sides of the two triangle are not equal therefore these triangle are not determined to be congruent. These triangles share their three angles but not the three sides.
If a bridge will hold only 4500 kilograms and an empty truck weighs 26500 hectograms, whats the heaviest load the truck can safely carry across the bridge? Give the answer in kilograms.
1850 kilograms
26500x0.1 (conversion rate from hg to kg) = 2.650 kg
4500-2650 = 1850
) After basketball practice, Courtney spent extra time working on free throws. Overall, she made 3 of her 5 shots. What percent of her total shots did she make?
Answer for both pleaseeeeeeeeeee
Answer:
0 and yes
Step-by-step explanation:
Let a=6m where m is any integer since a is divisible by 6. (a+12)/3=(6m+12)/3=2m+4 which is also an integer. The remainder is 0.
Since n is divisible by 3, n can be written as 3a, where a is any integer and m can be written as 2b, where b is any integer. n*m+12=6ab+12 which is divisible by 2.
If a is divisible by 6 it is also divisible by 3 which when added to 12 which is also divisible by 3 will result in a number divisible by three which means remainder will be 0
if n is divisible by 3, m is divisible by 2 then n.m + 12 will always be divisible by 2 because any number multipled by a number mutiple of 2 will be always divisible by 2 and when 12 added to it will also be divisible by 2.
Must click thanks and mark brainliest
Bob has a pyramid with a volume of 14. He'd like to create a second pyramid with a volume of 28. Which would guarantee he gets the desired
result?
O Double each side of the base of the pyramid.
O Double one side of the base of the pyramid.
O Double the slant height.
• Double the height.
Answer:
D
Step-by-step explanation:
Doubling the height will guarantee that the volume gets twice since V=(1/3)*B*h
If Bob wants to create a pyramid of volume 28 then he needs to double the height of the pyramid.
What is a pyramid?Design or construction with a base that is a polygon and sides that are three or more triangles that come together at the top.
A pyramid is a 3D shape where 3 triangle comes and meet in such a way that the base side creates a triangle.
The volume of a pyramid is given by
Volume = (1/3)base²×height.
Let say
Base width is = w
Height is = h
Volume V = w²h/3
Given
14 = w²h/3
For volume to be 28
28 = w²(2h)/3
So it is clear that he needs to double the height.
To learn more about pyramids,
https://brainly.com/question/17615619
#SPJ2
Line A has the equation: y = 2x + 5.
Determine the equation of line B when it is parallel to line A and passes through (0 , -4).
Answer:
y=2x-4
Step-by-step explanation:
The slope of the line is 2 and y intercept is - 4. The equation will be y=2x-4
Which graph represents the function f(x)= |x| -4?
Answer:
the graph will be the parent function : |x|, but shifted down by 4 units
Step-by-step explanation:
4. What is the volume of the pyramid?
7 ft
9 ft
10 ft
Help quickly PLEASE In a probability experiment, Eric flipped a coin 39 times. The coin landed on heads 26 times. What is the ratio of heads to tails in this experiment?
A. 3/2 B.1/2 C. 3/2 D 2/1
Answer: 2/1 (Choice D)
Explanation:
He flipped the coin 39 times, of which 26 heads came up. That must mean 39-26 = 13 tails came up.
The ratio of heads to tails is 26/13 = 2/1
We can write that as 2:1 to mean similar notation. The key is that we list heads first since the phrasing is "ratio of heads to tails", where heads is listed first. If you had tails first, then it would flip to 1/2 aka 1:2
Find the distance between points (a,b) and Q -a,-b)
Answer:
d = 2* sqrt(a^2 + b^2)
Step-by-step explanation:
Interesting question. You should begin by noting that 0 is not the answer although it looks like it should be.
P = (a,b)
Q= (-a,-b)
x1 = a
x2 = - a
y1 = b
y2 = - b
d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )
d = sqrt( (-a - a)^2 + (-b - b)^2 )
d = sqrt ( -2a)^2 + - (2b)^2 )
d = sqrt(4a^2 + 4b^3)
d = 2* sqrt(a^2 + b^2)
15. In a school, the ratio of boys and girls is 4:5, when 100 girls leave the school, the ratio becomes 6:7. How many boys are there in the school
Step-by-step explanation:
the ratio of boys and girls is equal to 4:5
let the number of boys be x
and the number of girls be y
so form 1st statement
x:y=4:5
now 2nd statements
x:y-100=6:7
Therefore solving equations 1 and 2
x=1200
y=1500
find X. please I need help asap
Answer:
5.5
Step-by-step explanation:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
11*2 = x*4
22 = 4x
Divide each side by 4
22/4 = 4x/4
11/2 =x
Solve the equation using the zero-product property.
(2x − 8)(7x + 5) = 0
Answer:
x=4and -5/7
Step-by-step explanation:
i hope it will be easy
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Equation}\downarrow[/tex]
[tex]\large\textsf{(2x - 8)(7x + 5) = 0}[/tex]
[tex]\large\text{Step-by-Step}\downarrow[/tex]
[tex]\large\text{SIMPLIFY EACH SIDES OF THE EQUATION}[/tex]
[tex]\large\textsf{14x}\mathsf{^2} \large\textsf{ - 14x - 40 = 0}[/tex]
[tex]\large\text{FACTOR the LEFT SIDE of the EQUATION}[/tex]
[tex]\large\textsf{2 (7x + 5) (x - 4) = 0}[/tex]
[tex]\large\text{SET the FACTORS to EQUAL 0}[/tex]
[tex]\large\textsf{7x + 5 = 0 OR x - 4 = 0}[/tex]
[tex]\large\text{SIMPLIFY BOTH OF YOUR EQUATIONS \& YOU HAVE YOUR ANSWER}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your ANSWER is: \bf x = }\mathsf{\bf - \dfrac{5}{7}\large\textsf{ \bf or x = 4}}}} \huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
