Answer:
2+3=5
Step-by-step explanation:
100x + 300 = 500
100x = 500 - 300
100× = 200
100x/100 = 200/100
therefore ^x = 2
x + 3 = 5
2 + 3 = 5
The equation 100x+300=500 is equal to the equation x+3=5.
Given that,
The equation is 100x+300=500
We have to get the equation x+3=5 from the given equation.
What is the equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. In any mathematical equation, we have LHS = RHS (left hand side equals right hand side).
We can solve in 2 methods.
1st method,
Taking the equation
100x+300=500
Divide the equation by 100
100x/100+300/100=500/100
We get
x+3=5
2nd method,
Taking the equation
100x+300=500
Taking 300 to right side
100x=500-300
Subtracting the 500 and 300
100x=200
Taking 100 to right side
x=200/100
Dividing the 200 by 100
x=2
Now,
x+3=5
Taking x to right side
x=5-3
Subtracting 5 and 3
x=2
Therefore, the equation 100x+300=500 is equal to the equation x+3=5.
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Which graph represents the equation x=2?
Answer:
1)
Step-by-step explanation:
In the line that is the graph of equation x = 2, every ordered pair has 2 as its x-coordinate. That means it's a vertical line that passes through x = 2 on the x-axis.
Answer: 1)
The graph option 1) is the correct answer.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given is an equation, x = 2
We see x intercept is 2 and there is no y intercept,
We know when x = a then the line is always parallel to y-axis and here x intercept is 2 therefore the line will pass through 2 on x-axis.
In graph 1) The line is passing through 2 on x-axis and is parallel to y-axis.
Hence, The graph option 1) is the correct answer.
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What is the highest common factor of 36 and 56???
Answer:
4
Step-by-step explanation:
Greatest common factor (GCF) of 36 and 56 is 4.
Step-1: Prime Factorization of 36
Prime factors of 36 are 2, 3. Prime factorization of 36 in exponential form is:
36 = 2^2 × 3^2
Step-2: Prime Factorization of 56
Prime factors of 56 are 2, 7. Prime factorization of 56 in exponential form is:
56 = 2^3 × 7^1
Step-3: Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18
Step-4: Factors of 56
List of positive integer factors of 56 that divides 36 without a remainder.
1, 2, 4, 7, 8, 14, 28
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 36 and 56. The biggest common factor number is the GCF number.
So the greatest common factor 36 and 56 is 4.
The highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.
What is LCM?It is defined as the common number of two integers, which is the lowest number that is a multiple of two or more numbers. The full name of LCM is the least common multiple.
It is given that:
The two numbers are: 36 and 56
As we know GCF means highest common factor, the factor which presents the in both numbers:
The GCF(36, 56) can be found using the Division Lemma:
56 = 36x1 + 20
36 = 20x1 + 16
20 = 16x1 + 4
16 = 4x4 + 0
The value of GCF(36, 56) :
GCF(36, 56) = 4
Thus, the highest common factor of 36 and 56 is 4 after using division algorithm, the answer is 4.
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A slide at a children's park is 74 inches tall in the horizontal distance The slide covers is 70 inches what is the angle measures created by the slide and the ground
Answer:
46.6°
Step-by-step explanation:
A slide at a children's park is 74 inches tall in the horizontal distance The slide covers is 70 inches what is the angle measures created by the slide and the ground
We solve the above question using Trigonometric function of Cosine.
tan x = Opposite/Adjacent
x = The angle
Hypotenuse = Slide covers = 70 inches
Adjacent = 74 inches
tan x = 74/70
x = arc tan (74/70)
x = 46.591140271°
Approximately = 46.6°
Brian is mowing his lawn. He and his family have 7.84 acres. Brian mows 1.29 1 acres on Monday, 0.85 acres on Tuesday, and 3.63 acres on Thursday. How many acres does Brian have left to mow? * 0 2.70 0 20.7 02.07 O 0.207
Answer:
2.07
Step-by-step explanation:
I DID IT ON A CALCULATOR
The area of a 2D form is the amount of space within its perimeter. The area that is needed to be mowed by Brian is 2.07 acres.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or other quadrilateral, multiply its length by its width.
The total area that is needed to mow is 7.84 acres. Given that Brian mows 1.291 acres on Monday, 0.85 acres on Tuesday, and 3.63 acres on Thursday. Therefore, the area already mowed by Brian can be written as,
[tex]\rm \text{The area already mowed by Brian} = 1.291 + 0.85 + 3.63= 5.771\ acres[/tex]
The area that is left to mow = Total area - Area already mowed by Brian
= 7.84 - 5.771
= 2.069 acres ≈ 2.07 acres
Hence, the area that is needed to be mowed by Brian is 2.07 acres.
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Work out the length x.
4.5 cm
11 cm
Answer:
12.3
Step-by-step explanation:
A^2 + B^2 = C^2
11^2 + 4.5^2 = C^2
132 + 20.25 = C^2
152.25 = C^2
Square root of 152.25 = 12.3
Line r is parallel to line c.
Answer: C
Step-by-step explanation:
Two vectors with magnitudes of 6 and 9 have a dot product equal to –27. Find the angle between the vectors.
Answer:
120°
Step-by-step explanation:
From the question,
The expression for the dot product of two vector is given as
a.b = abcosθ................... Equation 1
make θ the subject of the equation
θ =cos⁻¹ (a.b/ab)......................... Equation 2
Where θ = angle between the vector.
Given: a.b = -27, a = 6, b = 9
Substitute these values into equation 2
θ = cos⁻¹[-27/(6×9)]
θ = cos⁻¹(-27/54)
θ = cos⁻¹(-0.5)
θ = 120°.
Hence the angle between the vector is 120°
Answer:
B
Step-by-step explanation:
Edge 2021
Here is a meme for everyone who needs to laugh :)
Answer:
nice
Step-by-step explanation:
Answer: .............
Step-by-step explanation:
AHAHAHAHA-OMGKDKFKSKS
b(1)= -12
b(n)=b(n−1)⋅4
Find the 3rd term of the sequence. Show me the solutions and calculations.
Given:
[tex]b(1)=-12[/tex]
[tex]b(n)=b(n-1)\cdot 4[/tex]
To find:
The third term of the sequence.
Solution:
We have,
[tex]b(n)=b(n-1)\cdot 4[/tex]
For n=2, we get
[tex]b(2)=b(2-1)\cdot 4[/tex]
[tex]b(2)=b(1)\cdot 4[/tex]
[tex]b(2)=-12\cdot 4[/tex] [tex][\because b(1)=-12][/tex]
[tex]b(2)=-48[/tex]
For n=3, we get
[tex]b(3)=b(3-1)\cdot 4[/tex]
[tex]b(3)=b(2)\cdot 4[/tex]
[tex]b(3)=-48\cdot 4[/tex] [tex][\because b(2)=-48][/tex]
[tex]b(3)=-192[/tex]
Therefore, the 3rd term of the sequence is -192.
HELP
1. What is the solution to the equation 2(x - 10) + 4 = - 6x + 2?
A. -9/2
B. 1
C. 9/4
D. 5/2
Answer:
9/4
Step-by-step explanation:
2(x - 10) + 4 = -6x + 2
2x - 20 + 4 = -6x + 2
2x - 16 = -6x + 2
8x - 16 = 2
8x = 18
x = 18/8 or 9/4
Answer:
the answer is C
Step-by-step explanation:
2(x-10) +4 = -6x + 2
2x-20 +4= -6x +2
2x-16 = -6x+2
+16 = +16
______________
2x = -6x + 18
+6x = +6x +18
_____________
8x =18
x=2.25 or 9/4
have a nice day and I really hope it help
60>x and x >57
A x=61
B x=59
C x=50
x is b because 59 is less than 60 but greater than 57.
Hope this helped!!
Answer:
c
Step-by-step explanation:
what is - 5 = -2 what is the questionwhat is the question
Answer:
-5 + 3 = -2
Step-by-step explanation:
I don't really understand what you're trying to ask here...
Please help me with number 16 it’s 5th grade math so it should be easy
Answer:
A. you won't have enough
1/8 x 6 = 6/8 of a teaspoon
you have 2/3 teaspoon of black pepper set it equal and get a common denominator
6/8 = 2/3 ---------------> 18/24 = 16/24 so you dont have enough
Solve for x. Enter the solutions from least to greatest. (−5x+4)(x−3)=0
lesser x=
greater x=
a cyclist covers a distance of 15km in 2hours calculate his speed
Answer:
7.5km/h
Step-by-step explanation:
Given data
Distance= 15km
Time = 2 hours
We know that the expression for the speed is
Speed= distance/time
Substitute
Speed= 15/2
Speed= 7.5 km per hour
Hence the speed is 7.5km/h
1 NEED HELP ASAP WILL GIVE BRAINLY
Answer:
c
Step-by-step explanation:
I believe its c I've done this last semester
What is the range of the function y=-2/3x-10
given a domain of{-9,-3,0,3,9}
98
kqprhwierui4roqwhrdkej1wddkbrdh
someone let me knoww
subtract 13 upon 15 from 1
Use the distance formula to calculate the distance between the following two points:
(-1,1) and (4, 11)
The distance between the two points is approximately
units.
Answer:
d = 11 units if rounded to nearest whole number
Step-by-step explanation:
Distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Your ordered pairs (-1, 1) and (4, 11)
d=√((4-(-1))²+(11-1)²)
d=√((4+1))²+(10))²)
d=√((5)²+ 100)
d = √125
d = 11.18
d = 11 units if rounded to nearest whole number
Help please
an equation where the slope is 5 and y-intercept is 12.
Answer: y = 5x + 12
Step-by-step explanation:
y = mx + b, where m is the slope, and b is the y- intercept, then we plug in:
y = 5x + 12
Use the points in each diagram to name the figure shown
What is the best name for polynomial with 3 terms that has a degree
Answer:
Names of Degrees
Degree Name Example
1 Linear x+3
2 Quadratic x2−x+2
3 Cubic x3−x2+5
4 Quartic 6x4−x3+x−2
Answer:
Quartic Trinomial
Step-by-step explanation:
Monomial = one term
Binomial = two terms
Trinomial = three terms
Polynomial = four or more terms
As the other answer says, the order for degrees is:
Linear - to first degree
Quadratic - to second degree
Cubic - to third degree
Quartic - to fourth degree
Quintic - to fifth degree
Anything above fifth degree is just said "__th degree"
Example: x^7 + x^2 + 5 would be seventh degree trinomial
HELP ASAP PLS MY MATH TEACHER IS HER
Answer:
b
Step-by-step explanation:
5 faces 6 vertices goodluck
Answer:
second answer
Step-by-step explanation:
Helppppppp meee plsss
Answer:
C
Step-by-step explanation:
barbra has two cherry pies.She cuts each pie into quarters.How many slices of cherry pie does barbra have
Ok so you have 2 pies.
You can cut into quarters which is 4 slices in 1 pie.
Than you can do 4 slices x 2 pies which means you have 8
3x < 15
What’s the answer?
Answer:
x<5
Step-by-step explanation:
3x < 15
get x by itself, divide by 3 on both sides
x<5
hope this helps :)
Answer:
x<5
Step-by-step explanation:
3x<15
Divide both sides by 3.
3x/3 < 15/3
x<5
The least common denominator is the least common multiple of the _______ of the factions fill in the blank
Find the area of the shaded polygons
Answer:
Is there a picture?
Step-by-step explanation:
Copy the shape and fill in the missing angle. Sow the work. Thanks.
Answer:
x=12
Step-by-step explanation:
Hello There!
So first things first, the angle labeled 4x+17 and the blank interior angle are vertical angles meaning that they are congruent
So now we can solve for x
Remember all of the angles in a triangle add up to equal 180 so
180 = x + 23 + 80 + 4x + 17
step 1 combine like terms
4x+x=5x
23+17+80=120
now we have
180=120+5x
step 2 subtract 120 from each side
180-120=60
now we have
60=5x
step 3 divide each side by 5
60/5=12
we're left with x=12