Understanding:
First, let's try simplifying the first equation as much as we can. As you know, you can add, subtract, multiply, divide, etc on both sides of the equation and it will remain the same value. To simplify [tex]3x-5=16[/tex] we can simply add 5 to both sides to cancel the -5 on the left-hand side. That will give us [tex]3x-5 +5=16+5[/tex], notice we added the 5 to both sides. The +5 cancels -5 and 16+5 is 21, which evaluates to [tex]3x=21[/tex]. And this equation looks familiar, it's our second equation actually. That's why both equations are the same, and in that x value that makes the first equation true, it will also do the same for the second equation. If you want to actually find the value of x which makes the equation true, you can simply divide the 21 on the right-side by 3 to make x coefficient equal to 1, [tex]\frac{3x}{3} =\frac{21}{3}[/tex], and that gives us, [tex]x=7[/tex]. When x is 7 both equations are true.
Answer:
We conclude that the second equation must also be true for the same value of x because the value x = 7 satisfies the 2nd equation too.
Step-by-step explanation:
Given the first equation
[tex]3x-5=16[/tex]
Add 5 to both sides
[tex]3x-5+5=16+5[/tex]
simplify
[tex]3x=21[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{21}{3}[/tex]
simplify
[tex]x=7[/tex]
Thus, x = 7 is a value that satisfies the first equation.
Now, put x = 7 in the 2nd question to check whether x = 7 satisfies the equation or not.
3x = 21
3(7) = 21 ∵ x = 7
21 = 21
Thus, x = 7 also satisfies the 2nd equation.
Therefore, we conclude that the second equation must also be true for the same value of x because the value x = 7 satisfies the 2nd equation too.
Mario is tracking the progress of his plant's growth. After 4 days the plant was 5 cm high. 13 days later the plant was 18.5 cm tall.
What is the rate of growth of the plant?
How tall was the plant when Mario planted it?
How tall will the plant be after 20 days?
Answer:
sjdhdjdbdkendbdidjdnd
x/18 = (2/3)^log base x of 12
Answer:
wait what is that what the question ask you to do
I will give you brainlest plzzzz helppp!!!
Answer:
∠GEF = 25
Step-by-step explanation:
Here, we want to find the value of the marked angle
Please check the attachment for the diagrammatic representation of the triangle
Mathematically, the sum of opposite interior angles equals the exterior angle
We can have this sum as follows;
∠EFG + ∠GEF = ∠FGH
Thus;
2x + 1 + x + 19 = 6x + 2
3x + 20 = 6x + 2
6x-3x = 20-2
3x = 18
x = 18/3
x = 6
Now , substitute x into the ∠GEF
That will be;
6 + 19 = 25
What is the volume, in cubic in, of a cylinder with a height of 15in and a base radius of 5in, to the nearest tenths place?
Step-by-step explanation:
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The volume, in cubic in, of a cylinder with a height of 15 in and a base radius of 5 in is 1177.5 cu.in.
What is a Cylinder ?A fixed planar closed curve intersects a surface traced by a straight line traveling parallel to a fixed straight line , is called as a Cylinder.
It is given that the height of the cylinder = 15 inch
Base radius = 5 inch.
The volume of the cylinder is given by
V = π r²h
V = π 5² * 15
V = 3.14 *25 *15
V = 1177.5 cu.in
The volume, in cubic in, of a cylinder with a height of 15 in and a base radius of 5 in is 1177.5 cu.in.
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Solve: 3 – 8x = -13 Please help
Answer:
x=2
Step-by-step explanation:
Please help! 20 points + brainliest
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Solve these two equations:
For the first one we divide every element by sqrt3
we get
q+2/sqrt3 =sqrt5/sqrt3
q=(sqrt5-2)/sqrt3
q=sqrt3*sqrt5-2*sqrt3/3
q=sqrt15-2sqrt3/3
which is the third option
For the second one
sqrt(2y-5) +4=8
first we move the 4 to the right
sqrt(2y-5)=4
we remove the square root by bringing to the power of two
2y-5=16
2y=21
y=21/2
y=10 1/2
third option
Tell whether the ordered pair (4, -2) is a solution to
2x - y > -5
y <-3x - 3
Find the values of the sine, cosine, and tangent for angle A
Answer:
sin = p/h.
cos=b/h
tan =p/b
pythagoras
h^2=p^2+b^2
here
h=5
p= 3
b=4
Answer:
sin(A)=3/5
cos(A)=4/5
tan(A)=3/4
Step-by-step explanation:
length of the other side is 5 using pythagorean theorem
sin= opposite/hypotenuse
cos= adjacent/hypotenuse
tan= opposite/adjacent
opposite angle A- 3
adjacent angle A- 4
hypotenuse- 5
Of a number is added to the numerator of 3/7 and twice that number is added to the denominator of 3/7, the resulting fraction is equivalent to 10/21. Find the number
Answer:
x = 7
Step-by-step explanation:
Let the number added to the numerator is x.
ATQ,
[tex]\dfrac{3+x}{7+2x}=\dfrac{10}{21}[/tex]
Cross multiplying each side,
[tex]\dfrac{3+x}{7+2x}=\dfrac{10}{21}\\\\63+21x=70+20x\\\\21x-20x=70-63\\\\x=7[/tex]
Hence, the person that is added is 7.
Write "3 less than the product of 5 and b" as an algebraic expression.
Answer:
5b - 3
Step-by-step explanation:
5b-3 is the algebraic expression for "3 less than the product of 5 and b"
What is expression?Expression is a combination of variables, numbers and Operators.
The given sentence is
"3 less than the product of 5 and b"
Let us write the sentence in algebraic form.
We know that product of 5 and b means multiplication of 5 and b that means five times of b.
3 less than means subtracting 3 from another number.
So 3 less than the product of 5 and b is 5b-3.
Hence 5b-3 is the algebraic expression for "3 less than the product of 5 and b"
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any one can solve this
Answer:
The height of water in the container is 5 cm
Step-by-step explanation:
Here, we want to calculate the height of the water in the container
Mathematically, the volume is :
50 * 30 * h = 1500h cm^3
Also, 7.5 L = 7500 cm^3 = 7.5 L
Let the height be h
1500h = 7500
h = 7500/1500
h = 5 cm
Fiona has a rectangular garden where the length to width ratio is 3:2.She has 54ft^2 of plants in her garden.Fencing is in sale for $2.50 per foot .How much will she spend to put a fence around her garden
Answer: $75.0
Step-by-step explanation:
Based on the above figures given in the question, the length of the rectangular garden will be 9feet and the width will be 6feet
Length = 9feet.
Width = 6feet
Perimeter = 2 (length + breadth).
= 2(9feet + 6feet)
= 2 (15feet)
= 30 feet
Since fencing is in sale for $2.50 per foot, the amount that she will spend to put a fence around her garden will be:
= $2.50 × 30
= $75.0
the equation r=3cos(6theta) represents a rose curve. how many petals does the graph contain?
Answer: C, 12
Step-by-step explanation:
Got it correct on edge
Answer:
C: 12
Step-by-step explanation:
Took the quiz
Solve for x.
3(x+3) = -18 . A. x= -9
B.x= -7
c. x=-5
D. X=-3
It is A x= -9 I just did the assignment so yes, this means it is -9 I hope m answer helps you out.
Answer please?
Thank you!
Answer:
ok
Step-by-step explanation:
Can you help me please?
Answer: 6[tex]\sqrt{2}[/tex]
Step-by-step explanation: Because the angles are the same, 45 and 45 the other leg of the triangle is also 6.
From there we can use the Pythagorean Theorum to solve for x
6^2+6^2 = 72
so x is [tex]\sqrt{72}[/tex]
which simplifies to 6[tex]\sqrt{2}[/tex]
Answer:
6 rt 2
Step-by-step explanation:
you can use pythagorean theorem (a^2+b^2=c^2)
or since this is a 45, 45, 90 triangle the 2 equivalant sides are equal to each other and the hypotenues is also the legnth of the 2 sides times rt 2
Ms. Blankenship had $20 to purchase school supplies for her class. She bought 12 glue sticks and 12 boxes of crayons. Each glue stick cost $1.15, and each box of crayons cost $0.42. How much money did Ms. Blankenship have left after these purchases?
Answer: She had $1.16 left
Step-by-step explanation:
Step-by-step explanation:
1.16 dollars left
What is the solution to the system of linear equations shown below?
Answer:
(-3,4)
Step-by-step explanation:
The solution is determined by looking at the coordinates of the point of intersection of the two lines
What is the total number of possible 4-letter arrangements of the letters m-a-t-h if each letter is used exactly once in each arrangement?
9514 1404 393
Answer:
24
Step-by-step explanation:
The number of permutations of 4 items is 4! = 24.
math, maht, mtah, mtha, mhat, mhta,
amth, amht, atmh, athm, ahmt, ahtm,
tmah, tmha, tamh, tahm, thma, tham,
hmat, hmta, hamt, hatm, htma, htam
The sum of any two number is 21and the sum of their squares is 261.find the numbers.
Answer:
The two numbers are 6 and 15.
Step-by-step explanation:
[tex]x+y=21\\y=21-x\\x^{2} +y^{2} =261\\x^{2} +(21-x)^{2}=261\\x^{2} +441-42x+x^{2} =261\\2x^{2} -42x+180=0\\x^{2} -21x+90=0\\(x-6)(x-15)=0\\[/tex]
x=6 and x=15
Choose the word that correctly completes the statement
Since angle B is the largest angle, line segment AC is the
side,
The line segment AC (side a) is the longest side of triangle ABC.
To determine which side of triangle ABC is the longest, we can use the concept that the side opposite the largest angle in a triangle is the longest side. In this case, angle B is the largest angle with a measure of 75 degrees.
Now, we can identify the side opposite angle B, which is line segment AC. Therefore, line segment AC is the longest side of triangle ABC.
To calculate it more formally, we can use the law of sines. The law of sines states that in any triangle, the ratio of the length of a side to the sine of its opposite angle is the same for all three sides. The formula is:
a/sin(A) = b/sin(B) = c/sin(C)
Where:
a, b, c are the side lengths of the triangle.
A, B, C are the angles opposite to sides a, b, c, respectively.
Let's calculate the length of side AC (a) using the law of sines:
a/sin(A) = b/sin(B) = c/sin(C)
a/sin(45°) = b/sin(75°) = c/sin(60°)
a/√(2) = b/sin(75°) = c/sin(60°)
Now, we know that b < a and c < a because angle B is the largest angle. So, to find the value of a, we need to solve for it.
a = √(2) * b and a = (√(3)/2) * c
Now, we have three sides in terms of one variable (a, b, and c), and we know that a > b and a > c. Therefore, line segment AC (side a) is the longest side of triangle ABC.
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The complete question is:
A is 75 degrees, and angle B A C is 60 degrees. Since angle B is the largest angle, Line segment A C is the ________ side. adjacent included longest shortest
Find the slope of the line that contains (-1,4) and (2,6).
Question 2 options:
2
_
3
3
_
2
5
_
4
-2
_
3
Write the equation of the graph shown below in factored form.
(the graph starts at the bottom left and continues up through the x axis at negative two to a maximum around y equals eight and goes back down through the x axis at one to a minimum around y equals negative four and back up through the x axis at three)
f(x) = (x + 2)(x − 1)(x − 3)
f(x) = (x − 2)(x + 1)(x + 3)
f(x) = (x + 2)(x + 1)(x + 3)
f(x) = (x − 2)(x − 1)(x − 3)
Answer:
f(x) = (x+2)(x-1)(x-3)
Step-by-step explanation:
f(-2) = 0, f(1) = 0, f(3) = 0. Therefore, (x+2), (x-1) and (x+3) are the factors
Gabe earns 40.50 for working at coffee shop for3 hours. How much does he make in one hour?
Answer:
13.50 is the answer
Step-by-step explanation:
40.50/3=13.50
A normal population has a mean m=33 and standard deviation s = 9. What is the probability that a randomly chosen value will be greater than 44?
In an exponential function, $(x)= a(b)", it is known that (5) = 15 and S(8) = 170. Which of the
following is closest to the value of b?
(1) 1.87
(3) 3.19
(2) 2.25
(4) 3.72
Answer:
b = 2.25
Step-by-step explanation:
Here, we want to get the value of b
from the question;
s(x) = ab^n
Firstly;
15 = a•b^5
Secondly
170 = a•b^8
Divide second by first
170/15 = ab^8/ab^5
11.33 = b^3
b is the cube root of 11.33
b = 2.25
13. Usain Bolt is able to run 300 meters in 51 seconds. How fast is Usain's
running per second? *
1 second/6.2 meters
about 6.2 meters/second
about 7.1 meters/second
about 5.9 meters/second
Other:
Answer:
about 5.9 meters/second
Step-by-step explanation:
300 meters / 51 seconds
= 5.88
≈ 5.9
please help , would be greatly appreciated !
Answer:
x = 2
y = -1
Step-by-step explanation:
8x + 2y = 14
2x + y = 3
In order to find the number x represents, you have to make the number of y for both equations the same. So:
8x + 2y = 14
(×2) 4x + 2y = 6 (×2)
Then, you can cancel the y off both equations, which will leave:
8x = 14
4x = 6
To find 4x, you have to find the difference between both equations, so you have to:
14 - 6 = 8
Now that the actual number 4x represents is 8, so:
4x = 8
(÷4) x = 2 (÷4)
Now to find y, substitute the letter x with 2:
2x + y = 3
2 (2) + y = 3
4 + y = 3
4 - 3 = -y
1 = -y
(× -) -1 = y (× -)
Answer: x = 2
y = -1
Hope this helps! :)
(NOTE: Do you mind marking me as Brainliest?)
Sally has a cube numbered from 1 to 6. She tosses the cube onto the floor 54 times. How many times should she expect it to land on a 4?
Answer:
roughly 9 times
Step-by-step explanation:
each side on a standard 6 sided die has a 1/6 chance of landing. you you multiply (1/6)×54 you would get the answer 9 so theoretically you would get a "4" 9 times
What is the slope of the line? *
Answer:
The line isnt there but....
Step-by-step explanation:
I suggest to make a table
x y
( ) ( )
( ) ( )
and on each section put the points on the correct input and output
once you do that you want to see how much you need to add or subtract to get to the other input or output
For example
if i have ( 5, 10) and ( -5, -10)
I would make a table that looks like this with each of the inputs and outputs.....
x y
5 10
-5 -10
From 10 to -10 you need to subtract 20
from 8 to -8 you need to subtract 10
so y/x
-20/-10
2 negative numbers make a positive so...
your slope will be 2
So with any numbers that they give you, use what I showed u
Hope this helped to clarify a little!
Answer:
yeah that is what you do i could give an awnser if ther was a pc
