Given:
The expression is
[tex]13ab+15ab[/tex]
To find:
The equivalent expressions in factored form.
Solution:
We have,
[tex]13ab+15ab[/tex]
In the given terms 13ab and 15ab, then common factors are only a and b because 13 is a prime number. So, the greatest common factor is ab.
Distributive property of multiplication over addition:
[tex]a(b+c)=ab+ac[/tex]
By using greatest common factor and the distributive property, we get
[tex]13ab+15ab=ab(13+15)[/tex]
[tex]13ab+15ab=ab(28)[/tex]
[tex]13ab+15ab=28ab[/tex]
Therefore, the required equivalent expression is [tex]28ab[/tex].
Help????? 5 rate its due at 8:00 hehee.....
The probability that Stu buys a sandwich is 0.5. The probability that Stu gets the bus is 0.8. Assuming the events are independent, what is the probability that Stu buys a sandwich and gets the bus?
Answer:
0.4
Step-by-step explanation:
hegarty maths
What is an equation of the line that passes through the points (4, -6) and
(8,-4)?
Answer:
y = 1/2x - 8
Step-by-step explanation:
(4, -6) & (8, -4)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-4 - (-6)) / (8 - 4)
Simplify the parentheses.
= (2) / (4)
Simplify the fraction.
2/4
= 1/2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (8, -4). Plug in the x and y values into the x and y of the standard equation.
-4 = 1/2(8) + b
To find b, multiply the slope and the input of x(8)
-4 = 4 + b
Now, subtract 4 from both sides to isolate b.
-8 = b
Plug this into your standard equation.
y = 1/2x - 8
This is your equation.
Check this by plugging in the other point you have not checked yet (4, -6).
y = 1/2x - 8
-6 = 1/2(4) - 8
-6 = 2 - 8
-6 = -6
Your equation is correct.
Hope this helps!
There are 90 penguins in a zoo. There are two types - Humboldt and Emperor.
52 are female, of these 6 are Emperor penguins.
There are 5 male Emperor penguins.
Use this information to complete the frequency tree.
PLEASE ANSWER I WILL GIVE BRAINLIEST!!!
Answer:
still need it?..........
8. Solve for x. Round to the nearest hundredth If necessary.
Answer:
11.47
Step-by-step explanation:
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
Find the last side of the triangle using the Pythagorean theorem.
good luck, i hope this helps :)
I need help with this question
Answer:
4.5 . ^14
Step-by-step explanation:
dont cheat in tests next time not everyone is as kind as me
Answer:
It would be 4.5 x 10^14
Step-by-step explanation:
Just multiply the decimals and for the exponents, you add them.
What is the range for the function below?
The ratio 2 centimetres to 5 metres can be written in the form
1
:
n
.
Find the value of
n
.
Answer:
n = 250
Step-by-step explanation:
To express the ratio, the quantities must have the same measures
2 cm : 5 m
= 2 cm : 500 cm [ 1 m = 100 cm ]
Divide both parts by 2
= 1 : 250 → with n = 250
The cost of 25 litres of petrol is Rs.1400.Find the cost of 30 litres of petrol.
Hi, can someone please help me with some geometry problems?!!!
Answer:
I can!
Step-by-step explanation:
game item?? game name???
Answer:
It's minecraft and that item is a string from a spider's web. Please keep questions related to school.
Step-by-step explanation:
Alguien me podría ayudar aunque sea en la 2°
se los agradecería mucho
Answer:
photomath
Step-by-step explanation:
es una app q te ayuda en ejercicios de matemática
What is the measure of the indicated angle?
Answer:
76
Step-by-step explanation:
Let the indicated angle be x
all the angels add up to 180⁰
therefore,
x + 48 + 56 = 180
x + 104 = 180
x = 180 - 104
x = 76
HOPE THIS HELPS
Pasha traveled 217 miles in 3.5 hours, how far does she travel in 1 hour
.Evaluate (103)^3using identity.
Answer:
1092727(103) ^3 =(100+3) ^3
=(100) ^3 +3 ^3 +3×100×3(100+3)
=1000000+27+90000+2700
=1092727
Step-by-step explanation:
Hope it is helpful....
Answer:
It would be equal to 1092727
Step-by-step explanation:
You would expand and get 103 times 103 times 103.
I didn't know what identity ur talking about
find the area of the figure below, composed of a rectangle and semicircle. Round it to the nearest tenth.
Answer:
Step-by-step explanation:
radius of semicircle = 5
area of semicircle = πr² = 25π
area of rectangle = 10×14 = 140
total area = 140 + 25π ≅ 218.54 square units
If BE = 2x + 2, BD = 5× - 3, and AE = 4× - 6, what are the values of x and AC?
Answer:
x = 7
AC = 44
Step-by-step explanation:
Find the diagram attached
According to the parallelogram,
BD = 2BE
5x-3 = 2(2x+2)
5x-3 = 4x+4
5x-4x = 4+3
x = 7
Hence the value of x is 7
Also AC = 2AE
AC = 2(4x-6)
AC = 8x - 12
AC = 8(7) - 12
AC= 56-12
AC = 44
Hence the measure of AC is 44
The solution (x y) to a system of equatiohs is the point where they..?
Answer:
Intersect
Step-by-step explanation:
Solve for the hypotenuse in the right triangle shown.
Answer:
Square root of 34
Step-by-step explanation:
a^2 +b^2 =c^2
3^2 + 5^2 = 34
[tex]\sqrt{34}[/tex]
Peter picks one bill at a time from a bag and replaces it. He repeats this process 100 times and records the results in the table.
Based on the table, which bill has an experimental probability of being drawn from the bag next?
Experimental or Theoretical?
Answer:
Theoretical
Step-by-step explanation:
what is 5x-2y= -4 in slope intercept form
Answer:
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Help please I forgot how to do this
Answer:
the second one
Step-by-step explanation:
i dont know if this is right i am not the best but i tried hope i got it
What is the equation of a horizontal line passing through the point (−7, 5)? (1 point)
y = 5
y = −7
x = 5
x = −7
school lunches cost ₱35.50 per week. about how much would 15.5 weeks of lunches cost?grade v
Answer:
₱ 550.25
Step-by-step explanation:
₱ 35.50 * 15.5 weeks = ₱ 550.25
Help pleaseeeeit won’t let me send it cuz it has to be longer soo...
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Indices.
After simplifying we get as,
B.) 3v^16/m^4 p^6
option B.) is totally correct.
Answer:
b0uv9uvj9c9hc9
Step-by-step explanation:
beive88eh
What is the gcf of 10m^3 +45m
Answer:
ITS 1
10 = 2 • 5
3 = 3
45 = 32 • 5
Answer:
GCF of 40 and 60
Step-by-step explanation:
Solution We first express 20 and 60 as the product of prime numbers 40 = 2 × 2 × 2 × 5 60 = 2 × 2 × 3 × 5. The common factors are 2 × 2 and 5.
What are the coordinates of point S?
Answer:
(-2,3) or (3,-2)
Step-by-step explanation:
follow the line if that makes since
Answer: (-3,2)
Step-by-step explanation:
The point is 3 spaces left so it would be negative and 2 spaces up so positive.
What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.
Answer:
7.36 cm²
Step-by-step explanation:
What is the area of a triangle whose base measures 3.2 centimeters and whose height is 4.6 centimeters.
The formula for the area of a triangle is given as:
1/2 × Base × Height
Base = 3.2 cm
Height = 4.6 cm
Hence,
Area of the triangle = 1/2 × 3.2 × 4.6
= 7.36 cm²
Which equation can be solved
Answer: Choice B) 2x-60 = 180
===========================================================
Explanation:
A bit of the question got cut off. I'm assuming the full question reads "In this diagram, the measure of angle RQS is 60 degrees less than the measure of angle PQS"
The portion underlined is the part cut off where I'm making the assumption. If that assumption is correct, then we have
angle PQS = xangle RQS = x-60Those two adjacent angles form a straight line of 180 degrees
(anglePQS) + (angleRQS) = 180
(x) + (x-60) = 180
2x-60 = 180
which points to choice B as the answer.
Answer:
Step-by-step explanation:
∠RQS = x - 60°
∠RQS = 180° - x
x - 60° = 180° - x
2x - 60° = 180°
Write a verbal statement that represents the expression
h
÷
8
.
Answer:
the variable h divided by 8. The quotient of h and 8
Step-by-step explanation: