Answer:
[text] x = p(m - n) [/tex]
Or
[text] x = pm - pn [/tex]
Step-by-step explanation:
Given:
[text] m = n + \frac{x}{p} [/tex]
Required:
Make x the subject of the formula
Solution:
What we are required to do is to rewrite the equation so that x will be alone on one side while the other variables will be on the other side.
[text] m = n + \frac{x}{p} [/tex]
Subtract n from each side
[text] m - n = n + \frac{x}{p} - n [/tex]
[text] m - n = \frac{x}{p} [/tex]
Multiply both sides by p
[text] p(m - n) = \frac{x}{p}*p [/tex]
[text] p(m - n) = x [/tex]
[text] x = p(m - n) [/tex]
Or
[text] x = pm - pn [/tex]
Helpppp quiccckkkkkm
Answer:
a) G
b) C
Step-by-step explanation:
Triangle A is congruent to triangle G
Triangle D is congruent to Triangle C
The numbers 1-11 are placed in a bag. What is the probability of drawing a prime number?
Answer:
1 3 5 7 11 are all prime numbers and out of 11 numbers, 5 are prime so 5/11
Step-by-step explanation:
Give me brainiest answer please! :D
Let V1=(1,2,-5)^T v2=((2,5,6)^T and b=(7,4,-3)^T cn be expressed as a linear combination of V1 and V2?
I assume the question is whether the vector b is a linear combination of v₁ and v₂. If it is, then that means there are scalars c₁ and c₂ such that
b = c₁ v₁ + c₂ v₂ ==> (7, 4, -3) = c₁ (1, 2, -5) + c₂ (2, 5, 6)
This gives the system of equations,
c₁ + 2c₂ = 7
2c₁ + 5c₂ = 4
-5c₁ + 6c₂ = -3
which has no solution, since
-2 (c₁ + 2c₂) + (2c₁ + 5c₂) = -2(7) + 4 ==> c₂ = -10
but substituting this into any two equations in the system gives contradictory results. For instance,
c₁ + 2c₂ = c₁ - 20 = 7 ==> c₁ = 27
2c₁ + 5c₂ = 2c₁ - 50 = 4 ==> c₁ = 27
-5c₁ + 6c₂ = -5c₁ - 60 = -3 ==> c₁ = -57/5
This means that b is not a linear combination of v₁ and v₂.
Terri wants to know the value of n in the equation 7.638xn=763.8 what value for n makes the equation true?
Answer: 100
Step-by-step explanation:
Since we are given the equation 7.638 × n = 763.8 and told that Terri wants to know the value of n in the equation that will make it true. To do this goes thus:
7.638 × n = 763.8
7.638n = 763.8
Divide both side by 7.638
7.638n/7.638 = 763.8/7.638
n = 100
Therefore, n = 100 will make the equation true.
Need assistance in processing this equation?
#6
A. 1/25
B. 2/45
C.1/5
D. 1/18
Choose the graphs that indicate equations with no solution
Answer:
A and E
Step-by-step explanation:
Given
Graphs A to E
Required
Which do not have solutions
When there are no point of intersection between lines and/or curves of a graph, then such graph has no solution.
Using the above description as a yard stick, the first (A) and the last (E) graph have no solution.
Find the area of the figure shown
Area = ------- square yards
Answer:
70
Step-by-step explanation:
area = l×w×h
area= l×h
2l×2h
write the first ten prime numbers in the line. delete 6 digits to get the largest possible number
9514 1404 393
Answer:
7317192329
Step-by-step explanation:
The first 10 primes are ...
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
The number of interest will keep getting larger as long as the first (or next needed) digit keeps getting larger. That is, we want to delete any digit that is not greater than the one previous. Following this rule until we have deleted 6 digits, we find the largest number to be ...
7317192329
_____
The digits deleted are those in bold in the list of primes.
Answer:
7317192329Step-by-step explanation:
hope it helps
Solve the equation x - 15 = 42.
X=______
Answer:
[tex]x - 15 = 42 \\ x = 57[/tex]
Answer:
x = 57
Step-by-step explanation:
x - 15 = 42.
Add 15 to each side
x - 15+15 = 42+15
x = 57
What is the value of y?
Answer:
The answer is C (46)
Step-by-step explanation:
Since the measurement of the triangle is 180 then you must subtract 180 by 88 to create 92 and divided that 92 by 2 to get 46.
the sum of three numbers is 59. the second number is less than the first. the third number is 2 times the first. what are the numbers?
What are the coordinates of the vertex of the graph of y = x2 + 8x + 1?
Answer:
y= x2 + 8x - 1 is y=(x+4) 2-17
Step-by-step explanation:
First find - b/2 = - 4, so -4 will be added to x inside the parenthesis.
Next , find c - b2 to find the value you added at the end
y= (x- b2) 2 + c - b2
y= (x+4) 2 - 17
A cylinder has a height of 12 inches and a radius of 1.5 inches. What is its voulme? Round your answer to the nearest tenth. Use 3.14 for TT.
Answer:
It's volume is of 84.78 cubic inches.
Step-by-step explanation:
Volume of a cylinder:
The volume of a cylinder with radius r and height h is given by:
[tex]V = \pi r^2h[/tex]
A cylinder has a height of 12 inches and a radius of 1.5 inches.
This means that [tex]h = 12, r = 1.5[/tex]
What is its volume?
[tex]V = \pi r^2h = 3.14(1.5)^2(12) = 84.78[/tex]
It's volume is of 84.78 cubic inches.
According to ADA guidelines, at most, an incline can be 8.5°. Is the following incline acceptable? If yes, prove it. If not, explain why and change one dimension in the design so that it would be.
Answer:
Let the angle is x.
We have:
tan x = 15/90tan x = 1/6x = arctan (1/6)x ≈ 9.5°Since 9.5° > 8.5° it is not acceptable.
If the angle is 8.5° and the height is x, then we have:
tan 8.5° = x / 90x = 90 tan 8.5°x = 13.45 ftThe height is at most 13.45 ft
Sangay runs 2/3 hours each day. how many hours does he run in two weeks?
Answer:
Step-by-step explanation:
2/3 x 14 = 28/3 = 9 1/3 hours in two weeks
jessica has at least 20 pairs of shoes in her closet
Find the circumference of the circle shown below if the diameter equals 20 inches. Use 3.14 for π
A)62.8
B)31.4
C)None of these answers
D)1,256
E)314
Answer:
62.8 inches
Step-by-step explanation:
c = πd
c = 3.14 * 20
c = 62.8 inches
Which calculation correctly uses prime factorization to write V48 in simplest form?
A. 48 = V2 -2 -2 -2 - 3 = 2V12
B. 48 = 14 - 12 = 2/12
C. 48 = V2 -2 -2 -2 - 3 = 4V3
D. V48 = 16 - 3 = 4V3
Answer:
C
[tex] \sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{16 \times 3} \\ = 4 \sqrt{3} [/tex]
The prime factorization to write [tex]\sqrt{48}[/tex] in the simplest form as
48 = V2 -2 -2 -2 - 3 = 4V3
What is Prime Factorization in Math?Prime factorization of any number indicates to express that number as a product of prime numbers. A prime number exists as a number that has precisely two factors, 1 and the number itself.
We require to express 48 as the product of its prime factors as 48.
= 2 [tex]\times[/tex] 3 [tex]\times[/tex] 2 [tex]\times[/tex] 2 [tex]\times[/tex] 2.
Therefore, [tex]$\sqrt{48}=\sqrt{ (2 \times 2 \times 2 \times 2 \times 2)}[/tex]
[tex]$=4 \sqrt{3}$[/tex]
[tex]$4 \sqrt{3}$[/tex] exists in the lowest radical form.
Therefore, the correct answer is option C. 48 = V2 -2 -2 -2 - 3 = 4V3.
To learn more about Prime Factorization
https://brainly.com/question/24612438
#SPJ2
\Suppose that a person has an average heart rate of 88.6 beats/min. (Express your answers to problems in this section to the correct number of significant figures and proper units.) (a) How many beats does he or she have in 5.0 y
Answer:
He or she has 232,840,800 beats in five minutes.
Step-by-step explanation:
This question is solved by proportions.
In this question:
A year has 365 days.
Each day has 24 hours.
Each hour has 60 minutes.
Minutes in five years:
5*365*24*60 = 2,628,000 minutes.
How many beats in five minutes?
88.6 beats/min, 2,628,000 minutes. So the number of bears is:
88.6*2628000 = 232,840,800
He or she has 232,840,800 beats in five minutes.
why is the expiry date necessary
Answer:
Expiration dates are especially important for medications because they offer the only indication about whether the product is still safe to use. Food items, on the other hand, often look or smell bad when they have passed their "best-buy" dates.
Step-by-step explanation:
|-2 + 5 | - |3 - 12| - 13=
Answer:
-19
3 - 9 - 13 = -19
Step-by-step explanation:
what digit could be in the ten millions place of a number that is greater than 70,000,000 but less than 100,000,000
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiii bro
(Geometry/shapes) Hi, can any expert guide me in solving this problem? or someone who knows this?
Trapezoid and Kites. (picture below)
69
Step-by-step explanation:
angles 111 and 3 are the same. in a trapezoid bottom base angles are the same and the top base angles are the same. so in order to find angle 2 you must subtract 111 from 180 because the top angles are supplementary to the bottom
180 - 111 = 69
Answer:
The answer will be 69
This is because angle 3 would also be 111
Angles in a quadrilateral add up to 360
So, 360-(111+111)
=138
there are two angles left, angle 1 ND 2, THEY ARE THE SAME VALUE. So DIVIDE 138 by 2, and you would get your answer 69 degrees.
Hope this helps!!
if f(x)=3x-2 and g(x)=2x+1, find (f-g)(x)
A. x-3
B. 5x-3
C. 5x-1
D. 3-x
Answer:
A. x-3
Step-by-step explanation:
f(x)=3x-2 and g(x)=2x+1
(f-g)(x) = 3x-2 - (2x+1)
Distribute the minus sign
(f-g)(x) = 3x-2 - 2x-1
Combine like terms
= x -3
Stephan con run 3 miles in 15.75 minutes. Keisha con run 5 miles in 22.6 minutes. Who can run faster?
Answer: Keisha can run faster than Stephan.
Step-by-step explanation:
Let's figure out how long it takes for them to run a mile.
[tex]\frac{15.75}{3} =5.25\\\frac{3}{3} = 1[/tex]
It would take Stephan 5.25 minutes to run a mile
[tex]\frac{22.6}{5} =4.52\\\\\frac{5}{5} =1[/tex]
It would take Keisha 4.52 minutes to run a mile
Since Keisha takes less time to run a mile she is faster.
Answer:
Keisha can run faster
Step-by-step explanation:
Stephan can run
3 miles in 15.75 min.
so divide 15.75 by 3 min which would give you:
5.25 mi.
Now Keisha can run
5 miles in226 min
now divide 22.6 by 5 min which would give you
4.52 min
so that means Stephan can run faster then Keisha since 4.52<5.25
Keisha can run faster, since 4.52<5.25
When factored completely, the expression 6x3 – 5x2 – 13x + 12 is
equivalent to
a. (2 – 1)(2x - 3)(3x + 4)
b. (x + 1)(2x + 3)(3x + 4)
c. (x + 1)(2x − 3)(3x – 4)
d. (x - 1)(2x + 3)(3x – 4)
Answer:
d. (x - 1)(2x + 3)(3x - 4)
Step-by-step explanation:
6x³ - 5x² - 13x + 12
6x³ + x² - 12x - 6x² - x + 12
x(6x² + x - 12) - 1(6x² + x - 12)
(x - 1)(6x² + x - 12)
(x - 1)(6x² + 9x - 8x - 12)
(x - 1)(3x(2x + 3) - 4(2x + 3))
(x - 1)(2x - 3)(3x - 4)
Answer:
( x - 1 )( 2x + 3 )( 3x - 4 )
Step-by-step explanation:
Hope this helps!
i need help please!!!!!!
Answer:
THE ABSWER IS OPTIOM 1 AINCE ITS BEE SIMPLE AND IR CAN BE MORE IF U CAN TRY BUT U DONT NEED TK
Answer:
Step-by-step explanation:
someone please help me answer this
Answer:
77.91 units²
or
77.91 square units
Step-by-step explanation:
the area of a circle is A=pi*r²
since we only need a certain fraction, we will multiply it with 62/360
62° is the given angle. 360° would be the full circle
A = pi * 12² * 62/360
note that the answer is in square units, bc in "r²" the units themselves get squared, even tough we don't know if its inch or kilometers, its definitely squared
Kyle volunteered 5.5 hours at the library this week. He needs to volunteer a total of 12 hours. Which equation can be used to find the number of hours, h, Kyle still needs to volunteer this week?