Answer:
2n + 3n equals to 5n in the end, so just set n equal to literally any number :)
Step-by-step explanation:
Example:
Let n = 1000
2(1000) + 3(1000) = 5(1000)
5000 = 500
Basically, plug in the number and solve on both sides each time. You will know you've demonstrated it if it's equal on both sides
Answer:
2n + 3n equals to 5n in the end, so just set n equal to literally any number
Step-by-step explanation:
Example:
Let n = 1000
2(1000) + 3(1000) = 5(1000)
5000 = 500
Basically, plug in the number and solve on both sides each time. You will know you've demonstrated it if it's equal on both sides
What is the volume of a sphere with a diameter of 32.5 m, rounded to the nearest tenth of a cubic meter?
Answer:
17965.1
Step-by-step explanation:
Formula: V = 4/3 pi r^3
r = d/2
r = 32.5/2
r = 16.25
V = 4/3 * 3.14 * (16.25)^3
V = 17965.05 to the nearest tenth is
V = 17965.1
Brian is a software salesman. His base salary is 1900 , and he makes an additional 40 for every copy of Math is Fun he sells. Let N represent his total pay (in dollars), and let N represent the number of copies of Math is Fun he sells. Write an equation relating to p to n . Then use this equation to find his total pay if he sells 21 copies of Math is Fun.
Answer:
2740 is your total; p = 40n + 1900 is your equation.
Step-by-step explanation:
"p" represents total pay; "n" represents the number of copies he sells.
Base salary is 1900, and each copy sold gives him an extra 40
p = 40n + 1900 is your equation.
If he sells 21 copies. Plug in 21 for n
p = 40n + 1900
p = 40(21) + 1900
Simplify. Remember to follow PEMDAS. First, multiply, then add.
p = 40(21) + 1900
p = 840 + 1900
p = 2740
~
The area of a rectangular field is 6942m2. If the length of the field is 89m, what is its width?
Answer:
78m
Step-by-step explanation:
6942 ÷ 89 = 78, here you go!
Please can anybody help me with this:
Show that (x − 9)(x − 1) ≡ x^2 − 10x + 9
We will expand the factored form of (x − 9)(x − 1) into the same form as x² − 10x + 9 to show they are equal.
Distribute and multipy out:
(x − 9)(x − 1)
x * x = x²
x * -1 = -x
x * -9 = -9x
-9 * -1 = 9
Add together:
x² + -x + -9x + 9
x² − 10x + 9
Use the Reflexive property:
x² − 10x + 9 = x² − 10x + 9 ✓
What is factorisation?
It is also called Middle Term Splitting
Its a cool thing with which you can solve different orders of polynomials(or any algebraic expressions if you're a pro).
It is writing an expression as a product of 2 or more factors
Answer:
factorization is of writing a number or another mathematical use as a product of several factors, usually smaller of the same kind.
Step-by-step explanation
3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4.
What is the simplest radical form of the expression?
(8x^7y^4)^2/3
Answer:
[tex]\large \text{$ 4 x^{\frac{14}{3}}y^{\frac{8}{3}}$}[/tex]
Step-by-step explanation:
Given expression:
[tex](8x^7y^4)^{\frac{2}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a \cdot b)^c=a^{c} \cdot b^{c}:[/tex]
[tex]\implies 8^{\frac{2}{3}} \cdot (x^7)^{\frac{2}{3}}\cdot(y^4)^{\frac{2}{3}}[/tex]
[tex]\implies 4 \cdot (x^7)^{\frac{2}{3}}\cdot(y^4)^{\frac{2}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies 4 \cdot x^{\frac{14}{3}}\cdot y^{\frac{8}{3}}[/tex]
[tex]\implies 4 x^{\frac{14}{3}}y^{\frac{8}{3}}[/tex]
Expand [tex]\bf{(8x^{7}y^{4})^{\frac{2}{3} } }[/tex]
[tex]\bf{8^{\frac{2}{3} }(x^{7})^{\frac{2}{3} }(y^{4})^{\frac{2}{3} } }[/tex]
To raise a power to another power, multiply the exponents. Multiply 7 and 2/3 to get 14/3.
[tex]\bf{8^{\frac{2}{3}}x^{\frac{14}{3} }(y^{4})^{\frac{2}{3} } }[/tex]
To raise a power to another power, multiply the exponents. Multiply 4 and 2/3 to get 8/3.
[tex]\bf{8^{\frac{2}{3}}x^{\frac{14}{3} }y^{\frac{8}{3} } }[/tex]
Calculate 8 to the power of 2/3 and you get 2/4.
[tex]\bf{4x^{\frac{13}{4} }y^{\frac{8}{3} } \ \ ==== > \ \ \ Answer }[/tex]
-3(v+1)-3
What is the answer I really need help
Answer:
=-3v-6
Step-by-step explanation:
Distribute:
=(−3)(v)+(−3)(1)+−3
=−3v+(−3)+(−3)
Combine like terms:
=(−3v)+(−3+(−3))
=−3v+−6
=-3v-6
Hope this helps, this was easy!
Please help, thanks
Let ABCD be a square and let ABEFG be a regular pentagon. Find angle BCE.
Answer:
No figure?
We need a figure to solve for this, please post the figure and I am ready to help!
Consider the quadratic equation x2 10x 27 = 0. completing the square leads to the equivalent equation (x )2 = .
The solution to the given quadratic expression using the completing the square is x = ±√-2 -5
Completing the square methodThis is a method of factoring quadratic expression. Given the quadratic function.
x^2 + 10x + 27 = 0
Subtract 27 from both sides
x^2 + 10x = -27
Complete the square
x^2 +10x +5^2 = -27 + 25
(x+5)² = -2
x +5 = ±√-2
x = ±√-2 -5
Hence the solution to the given quadratic expression using the completing the square is x = ±√-2 -5
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5. Find the area of the figure below:
5 cm
4 cm
2cm
5 cm
Answer:
33 cm^2
Step-by-step explanation:
To find the are of the figure as a whole, find the area of each rectangle individually and then add them together.
The area of a rectangle is [tex]A = bh[/tex], so the area of the small rectangle would be [tex]4*2[/tex], or [tex]8cm^2[/tex].
The area of the larger rectangle would be [tex]5*5[/tex], or [tex]25cm^2[/tex].
So, adding those areas together, we get [tex]33cm^2[/tex] as the area of the whole figure.
What is the sum? startfraction x over x 3 endfraction startfraction 3 over x 3 endfraction 2 over x 3 endfraction five-thirds startfraction x 5 over x 3 endfraction startfraction x 5 over 3 x 27 endfraction startfraction 6 x over x 3 endfraction
The value of the sum expression [tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex] is 1
How to determine the sum?The expression is given as:
[tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex]
Take the LCM of terms of the expression
[tex]\frac{x}{x +3} + \frac{3}{x + 3} = \frac{x + 3}{x +3}[/tex]
Evaluate the quotient of x + 3 and x + 3
[tex]\frac{x}{x +3} + \frac{3}{x + 3} = 1[/tex]
Hence, the value of the sum expression [tex]\frac{x}{x +3} + \frac{3}{x + 3}[/tex] is 1
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A printer can print 12 pages in 9 seconds. What is the closest estimate of the
number of pages it can print in one minute?
120
100
45
72
Answer:
72 is the closest.The printer will primt 80 pages in one minute
Answer:
72
Step-by-step explanation:
12 pgs in 9 sec
*[tex]\frac{20}{3}[/tex] *[tex]\frac{20}{3}[/tex]
≈80 pgs in 60 sec
Hope this helps!!!
Please mark me as brainliest!!!
Which climate has moderate rainfall, nutrient rich soils, and has a relatively thick layer of topsoil?
A. Desert
B. Arctic
C. Tropical rainforest
D. Grassland
Pamela and her friend went to the taco place with $15.00. they bought 2 burritos for $2.95 each, an order of nachos to share for $2.25, and 2 sodas for $1.75 each. how much money will they have left?
Select the graph that matches the equation y = 2
4
7
x − 3.
Answer:
B
Step-by-step explanation:
Since the y-intercept is -3 look for the graph that has the point (0,-3)
PLEASE< PLEASE
ASAP!!!
WILL GIVE BRAINLIEST!!!
THANKS SO MUCH!!!
Please help........
Answer:
dude do this by your self this is to easy
Leave answer in the simplest radical form.
[tex]\frac{7x^-^3^/^2y^5^/^2z^-^2^/^3}{56x^-^1^/^2y^1^/^4}[/tex]
[tex]\cfrac{7x^{-\frac{3}{2}} ~~ y^{\frac{5}{2}} ~~ z^{-\frac{2}{3}}}{56 x^{-\frac{1}{2}} ~~ y^{\frac{1}{4}}}\implies \cfrac{7}{56}\cdot \cfrac{y^{\frac{5}{2}} ~~ y^{-\frac{1}{4}}}{x^{-\frac{1}{2}} ~~ x^{\frac{3}{2}} ~~ z^{\frac{2}{3}}}\implies \cfrac{1}{8}\cfrac{y^{\frac{5}{2}-\frac{1}{4}}}{x^{-\frac{1}{2}+\frac{3}{2}}~~ z^{\frac{2}{3}}}[/tex]
[tex]\cfrac{y^{\frac{9}{4}}}{8x z^{\frac{2}{3}}}\implies \cfrac{\sqrt[4]{y^9}}{8x\sqrt[3]{z^2}}\implies \cfrac{\sqrt[4]{y (y^2)^4}}{8x\sqrt[3]{z^2}}\implies \cfrac{y^2 \sqrt[4]{y}}{8x\sqrt[3]{z^2}}[/tex]
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each description with the correct inequality.
(5x)2 ≤ 46,
(5x)2 ≥ 46,
x2 + 5x ≥ 46,
5x2 > 46,
x2 + 5x ≤ 46,
5x2 < 46,
The square of the product
of 5 and a number is
no less than 46.
arrowBoth
The product of 5 and the
square of a number is
greater than 46.
arrowBoth
The sum of the square of a
number and five times that
number is no more than 46.
Answer:
(5x)² ≥ 46
x² + 5x ≤ 46
5x² > 46
Step-by-step explanation:
Suppose number is x
1)The square of the product of 5 and a number is not less than 46.
Step 1
Product of 5
5x
Step 2
Square of the product of 5
(5x)²
Step 3
A number is not less than 46
(5x)² ≥ 46
2)The sum of square of a number and five times that number is no more than 46
Step 1
Square of a number
x²
Step 2
Five times that number
5x
Step 3
The sum
x² + 5x
Step 4
Is no more than 46
x² + 5x ≤ 46
3)The product of 5 and the square of a number is greater than 46
Step 1
The square of a number
x²
Step 2
The product of 5
5x²
Step 3
Is greater than 46
5x² > 46
For a project in his Geometry class, Fwam uses a mirror on the ground to measure the height of his school building. He walks a distance of 7.15 meters from the building, then places a mirror flat on the ground, marked with an X at the center. He then walks 2.45 more meters past the mirror, so that when he turns around and looks down at the mirror, he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.55 meters. How tall is the school
Answer:
2106 m
Step-by-step explanation:
Question 7 of 10
Find any domain restrictions on the given rational equation:
X-4+50
4x-12x²+x-12 2
Select all that apply.
A. x = 0
B. x = 3
C. x = 4
D. x = -4
The domain restrictions on the rational function [tex]\frac{50}{4x - 12} + \frac{x- 4}{x^2 + x - 12} = \frac{x}{2}[/tex] are (b) x = 3 or and (d) x = -4
How to determine the domain restrictions?The function as expressed in the correct format is:
[tex]\frac{50}{4x - 12} + \frac{x- 4}{x^2 + x - 12} = \frac{x}{2}[/tex]
Factorize the denominators of the fractions
[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{x^2 + 4x- 3x - 12} = \frac{x}{2}[/tex]
Factor out x and -3
[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{x(x + 4)- 3(x + 4)} = \frac{x}{2}[/tex]
Factor out x + 4
[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{(x- 3)(x + 4)} = \frac{x}{2}[/tex]
Set the denominators to 0
4(x - 3) = 0
(x - 3)(x + 4) = 0
Solve for x:
4(x - 3) = 0 ⇒ x = 3
(x - 3)(x + 4) = 0 ⇒ x = 3 or x = -4
This means that the domain restrictions on the rational function are (b) x = 3 or and (d) x = -4
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Use the summation notation to write the series
10+5+0+(-5)+(-10)+(-15)
Hey there!
10 + 5 + 0 + (-5) + (-10) + (-15)
= 10 + 5 - 5 - 10 - 15
= 15 - 5 - 10 - 15
= 10 - 10 - 15
= 0 - 15
= -15
Therefore, the answer should be: -15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What’s the value of x?
Answer:
X = 10.09
Step-by-step explanation:
Of the 12 people who have taken their seats at a seminar, 2 have red hair. What is the experimental probability that the next person to take a seat will have red hair? help pls i dont understand this ixl
Answer:
Heyyy!!!!!
I think the answer is 1/6.... Im not really sure...
Step-by-step explanation:
My explanation is that there are twelve people of whom 2 have red hair.
so the probability is 2/12 which simplifies to 1/6.
I really hope this helps!!!
please help i font understand
Answer:
3/5
Step-by-step explanation:
Concepts + Application + Solution
We can write the probability of this event happening like this:
(number of prime numbers)/(total number of sections)For recap, a prime number is a number that's greater than 1 whose only factors are 1 and itself. Take the number 7 for example; its factors are only 7 and 1.
Given this information above, let's find the prime numbers in the spinner.
1: not prime (not greater than 1)2: prime3: prime4: not prime (divisible by 2)5: primeAs you can see, we have 3/5 numbers that are prime, making the probability of landing on a prime number 3/5.
is the ordered pair (2,1) a solution for
[tex] y \leqslant \frac{3}{2} x + 3 \: show \: your \: work[/tex]
Answer:
put x= 2 and y = 1
and see this inequality will holds
Guys Please Help me Fast!!
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
multiply numerator and denominator of [tex]\frac{1}{4}[/tex] by 3
[tex]\frac{1}{4}[/tex] = [tex]\frac{3(1)}{3(4)}[/tex] = [tex]\frac{3}{12}[/tex]
the 2 fractions now have a common denominator of 12 and can be added
[tex]\frac{1}{4}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{3}{12}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex]
9t-(2t-4)=25 I’m not sure how to use the distributive property to solve for t
Answer:
t = 3
Step-by-step explanation:
Given: 9t - (2t - 4) = 25
Distributive property: a(b + c) = ab + ac
1. Distribute '-' or '-1'
9t + -1(2t) + -1(-4) = 25
9t - 2t + 4 = 25
2. Combine like terms
7t + 4 = 25
3. Subtract 4 from both sides
7t + 4 - 4 = 25 - 4
7t = 21
4. Divide both sides by 7 to isolate the variable
7t ÷ 7 = 21 ÷ 7
t = 3
Learn more about the distributive property and equations here:
brainly.com/question/27543580brainly.com/question/25561889brainly.com/question/27759148In parallelogram HIJK, the measure of angle H is 45∘.
Find the measure of angle J. Explain how you know.
Find the measure of angle K. Explain how you know.
Answer:
Step-by-step explanation:
V-125 - 5 X 32
[tex]3 \sqrt{ - 125} - 5 \times {3}^{2} [/tex]
Simplify the following and show all your workings
Answer:
Because of the order of operations, we start the equation backwards because exponents are what we prioritize here.
[tex]3^2 = 9\\\\9 * 5 = 45\\\\\sqrt{-125} = -11.1803399\\\\45 - -11.1803399 = 56.1803399\\\\56.1803399 * 3 = \boxed{168.54}[/tex] Result rounded to 2 DP
In the rectangular prism shown above, the distance between any two neighboring points on a line segment is the same. For example, the distance between points 1 and 2 is the same as the distance between points 13 and 20, which is the same as the distance between points 15 and 16. Place the cross sections indicated by the tiles in order from least area to greatest area.
A rectangular prism is a shape that has six faces which are rectangular.
What is a rectangular prism?Your information is incomplete as the diagram of the rectangular prism isn't given. Therefore, an overview will be given.
It should be noted that a rectangular prism simply means a three dimensional sold shape that has six faces that are rectangles.
The formula that's used to calculate the volume of a rectangular prism will be:
= Length × Width × Height
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