Answer:
[tex]\displaystyle x=\frac{a+b}{c}[/tex]
Step-by-step explanation:
Equations
Solve the equation:
[tex]\displaystyle \frac{b-cx}{a}+\frac{a-cx}{b}+2=0[/tex]
Subtracting 2:
[tex]\displaystyle \frac{b-cx}{a}+\frac{a-cx}{b}=-2[/tex]
Multiply by ab to eliminate denominators:
[tex]\displaystyle ab\frac{b-cx}{a}+ab\frac{a-cx}{b}=-2ab[/tex]
Simplifying:
[tex]b(b-cx)+a(a-cx)=-2ab[/tex]
Operating:
[tex]b^2-bcx+a^2-acx=-2ab[/tex]
Subtracting [tex]b^2+a^2[/tex]
[tex]-bcx-acx=-2ab-b^2-a^2[/tex]
Multiplying by -1:
[tex]bcx+acx=2ab+b^2+a^2[/tex]
Factoring:
[tex]c(b+a)x=2ab-b^2+a^2[/tex]
The right side of the equation is the square of a+b:
[tex]c(b+a)x=(a+b)^2[/tex]
Simplifying (for a ≠ -b):
[tex]cx=(a+b)[/tex]
Dividing by c:
[tex]\boxed{\displaystyle x=\frac{a+b}{c}}[/tex]
Is 40/48 and 56/42 proportional
No
The first fraction is under 1 whole while the second fraction is over 1 whole.
40/48 and 1 14/42 is what this is equal to.
May I have brainliest please? :)
Answer:
No
Step-by-step explanation:
the two fractions go down to
40/48= 5/6
56/42= 8/7
So, No
I NEED HELP ASAP PLEASE !!!! If point B 1,2 is reflected across the x axis what will be its new position
A. 1,-2
B 2,-2
C 1,2
D -1 , 2
Answer:
the answer is D
Step-by-step explanation:
I hope this helpsbuuu
helpppp, i don’t get thisss :,))
Matt Ali deposited $25,000 in a savings account. The account earns 5.5 percent interest compounded daily. Use the formula “ Amount of $1.00 at 5.5 Percent compounded Daily”. A). What amount will he have in his account 28 later ? B.) How much will be compound interest ?
Answer:
A) Amount = $ 116,601.31
B) Compound Interest = $ 91,601.31
Step-by-step explanation:
Compound interest Formula
A = P(1 + r/n)^nt
Where
P = Initial amount invested = $25,000
r = interest rate = 5.5 %
n = Compounding frequency = daily
t = time in years = 28 years
A). What amount will he have in his account 28 years later ?
First, convert R percent to r a decimal
r = R/100
r = 5.5%/100
r = 0.055 per year,
Then, solve our equation for A
A = P(1 + r/n)^nt
A = 25,000.00(1 + 0.000150685/365)^(365)(28)
A = $ 116,601.31
B.) How much will be compound interest ?
I = Amount - Principal
A(Amount ) = $ 116,601.31
P (principal) = $ 25,000.00
I = $ 116,601.31 - $ 25,000.00
I (interest) = $ 91,601.31
If all 3 drones have the same mass which one has the thr greatest acceleration?
Answer:
We conclude that the red drown has the greater the acceleration.
Step-by-step explanation:
Given
Given that all 3 drones have the same mass.
To determine:
Which drone has the greatest acceleration
From the figure, it is clear that the red drown has a steeper slope. We know that the steeper the slope of the line the greater the acceleration.
It is also visible the red drone has already covered 50 km in just 50 minutes speed, while the blue drone covered around 30 km in 50 minutes and the green drone is the slowest of all, covering less than 20 km in 50 minutes.
Therefore, we conclude that the red drown has the greater the acceleration.
Two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% off the original price. Store B advertises that it is reducing the refrigerator’s price by $150. When Stephanie compares the sale prices of the refrigerator in both stores, she concludes that the sale prices are equal. Let p represent the refrigerator’s original price. Which equation models this situation?
3.1(g-7)-1=5.2 what is G
Answer:
g = 8.7
Step-by-step explanation:
3.1 (g - 7) = 5.2
Multiply by 3.1
3.1g - 21. 7 = 5.2
Add 21.7 to both sides
3.1g = 5.2 + 21.7
3.1g = 26.9
Divide both sides by 3.1
g = 26.9 / 3.1
g = 8.677 = 8.7
HELP NEEDED ASAP PLEASE!
Answer:
I think its C
Step-by-step explanation:
During a sale, a dress is sold at discount of 15%. The original price of the dress is $ 60. What is the price of the dress after discount?
Jason puts 500$ in a savings account at an annnual interest rate of 3% if he does not put money in or take money out what is the interst he will get at the end of 8 months round up to the nerest cent
Answer:
$500.1
Step-by-step explanation:
Step one:
principal= $500
rate= 3%
time 8 months
Required
The final amount
Step two;
simple interest= PRT/100
SI= (500*0.03*8/12)/100
SI=10/100
SI=0.1
The final amount is
Amount= 500+0.1
Amount= $500.1
Find the distance between the points (-4, 10) and (-4, -8).
Answer:
18 units
Step-by-step explanation:
(-4 , 10) and (-4, -8)
Distance = [tex]\sqrt{(x_{2}+x_{1})^{2}+(y_{2}-y_{1})^{2}}\\[/tex]
[tex]= \sqrt{(-4-[-4])^{2}+(-8-10)^{2}}\\\\= \sqrt{(-4+4)^{2}+(-18)^{2}}\\\\=\sqrt{0 + 324}\\\\=\sqrt{324}\\\\= 18[/tex]
If Jo drives 357 miles and uses 17 gallons of gas how many miles per gallon did he get? How far could Jo go on 50 gallons of gas?
He got 21 miles per gallon, which mean he would be able to go 1,050 miles with 50 gallons of gas.
Answer:
(a) 21 miles per gallon. (b) 1050 miles.
Step-by-step explanation:
357 / 17 = 21 miles per gallon.
21 * 50 = 1050 miles.
p:-3x + 8x - 5x = x
q: (3x)(5y) = 15xy
Which of the following statements is false?
Answer: Statement p is false.
Step-by-step explanation:
In both cases, we need to isolate the variables:
p: -3*x + 8*x - 5*x = x
(-3*x - 5*x) + 8*x = x
-8x + 8*x = x
0 = x
This will be true only for one value of x, so this is not always true, which means that the statement is false.
q: (3*x)*(5*y) = 15*x*y
let's solve the left side:
3*x*5*y = 15*x*y
(3*5)*(x*y) = 15*x*y
15*x*y = 15*x*y
This is true for every value of x and y, then this statement is true.
Tim knows that he can travel a distance of 240 miles when his car’s gas tank is filled to its capacity. The capacity of his car’s gas tank is 12 gallons. Which best describes the domain of the function? only integers where 0 ≤ d ≤ 12 only integers where 0 ≤ , d , ≤ 12 only integers where 0 ≤ d ≤ 240 only integers where 0 ≤ , d , ≤ 240 all real numbers where 0 ≤ d ≤ 12 all real numbers where 0 ≤ , d , ≤ 12 all real numbers where 0 ≤ d ≤ 240
Answer:
Step-by-step explanation:
0 ≤ d ≤ 12 all real
(100 POINTS PLUS BRAINIEST)
All is need is for you to measure 5 of a person’s left foot(in inches) and then measure the length (in inches) of that same person’s forearm
Please big rewards for you ever does it
Answer:
Check my explanation
Step-by-step explanation:
Okay. I measured my left foot and it's 11 inches. (5 of that is 55 inches.) My forearm is about 11 inches, too?
What is this even for? I have no clue, but it sounds interesting right off the bat.
Mr.Ramirez purchased 20 concerts
Answer:
and then what?
Step-by-step explanation:
Simply this plz ո • ո3
Answer:
Answer is n^4
Step-by-step explanation:
You add the exponent when they are multiplying and have the same base
Answer:
n^4
Step-by-step explanation:
n^3 just means nxnxn and now, you are going to multiply that by another n. So it will become nxnxnxn which is essentially just n^4. Also, you should keep in mind that when you multiply a number by another number that has exponents in it but has the same base, you can just add their exponents. For example, n is actually just n^1 and when you multiply it by n^3 you can just add the one and the three to get 4. Which will give you n^4. Another example is if you have 6^5 multiplied by 6^3, you can just add the exponents and put that on the base to get 6^8. This works because 6^5 is just (6x6x6x6x6) and 6^3 is just (6x6x6) and when you multiply all of them you get 6^8 (6x6x6x6x6x6x6x6) I hope the last part made sense. If it didn't, you can just use the nxnxnxn logic instead. The last part was a little hard from me to explain.
PLease this is so easy I promise
Answer:
1/1
2/1
Step-by-step explanation:
What’s da answerrr ?..
Answer:
It is half as much. urysukdhwjx8hdjdhvndkduc
what is the best decimal equivlanet to 3 9 100
Hey there!
“What is the best decimal equivalent to 3 9/100?”
3(100) + 9
3(100) = 300
300 + 9 = 309 ⬅️ solving for your numerator
100 ÷ 1 = 100 ⬅️ solving for your denominator
309 / 100 ➡️ 309 ÷ 100 = 3.09
Thus your answer is: 3.09 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Find the value of 9u - 6 given that -2u+2=6
Answer:
The value of 9u - 6 is -24
Step-by-step explanation:
Let us solve the question
∵ -2u + 2 = 6
→ Subtract 2 from both sides to move 2 from the left side to the right side
∵ -2u + 2 - 2 = 6 - 2
∴ -2u = 4
→ Divide both sides by -2 to find the value of u
∵ [tex]\frac{-2u}{-2}[/tex] = [tex]\frac{4}{-2}[/tex]
∴ u = -2
∵ The given expression is 9u - 6
→ Substitute u by -2 to find the value of the given expression
∴ 9u - 6 = 9(-2) - 6
∴ 9u - 6 = -18 - 6
∴ 9u - 6 = -24
∴ The value of 9u - 6 is -24
Let g be the function given by g(x) = x^4-3^3-x. What are all values of x such that g'(x)=1/2
Answer:
The answer is "[tex]x= \frac{\sqrt[3]{3} }{2}[/tex]"
Step-by-step explanation:
Given:
[tex]\to g(x) = x^4-3^3-x \\\\\to g'(x) = \frac{1}{2}\\\\x=?[/tex]
Solve:
[tex]\to g(x) = x^4-3^3-x\\\\\to g(x) =x^4 -27-x \\\\\to g(x) =x^4 -x-27[/tex]
differentiate the above equation:
[tex]\to g'(x) = 4x^3- 1[/tex]
Given that:
[tex]\to g'(x)= \frac{1}{2}[/tex]
[tex]\to \frac{1}{2}= 4x^3 -1\\\\\to \frac{1}{2} +1= 4x^3 \\\\\to \frac{1+2}{2}= 4x^3 \\\\\to \frac{3}{2}= 4x^3 \\\\\to x^3 =\frac{3}{2 \times 4} \\\\\to x^3 =\frac{3}{8} \\\\ \to \bold{x= \frac{\sqrt[3]{3} }{2}}[/tex]
Help !!!! i don’t understand and its duee tomorrow
Answer:
73. 61 degrees
74. x= 31
75. 37 degrees
76. x=27
78. x=96 z=151 y=68
79. x= 66 y=z y and z =88
80. y =43 z=90 x = 71
81= x=95 y=51 z=39
83. g=49 h=117 j=49 m=55 k = 76
84= b=37 a=143 c=37 d=121 e=158 f=22 h=50 g=108
Step-by-step explanation: As far as I can go sorry
Pls help due at midnight
Answer:
8.77
Step-by-step explanation:
Answer:
I believe the answer is A) $8.77
step1) multiply the cost of peaches oer pound by 18.4
step2) add the cost for the peaches to the cost for the pineapple
step3)divide the cost by 4
help me if you can plss BRAINLYEST
Answer:
The answer is 81
Step-by-step explanation:
prove me wrong
Answer:
Choice D
Step-by-step explanation:
For this you have to distribute the exponent on the outside to the inside. So we will multiply 4 and [tex]\frac{1}{4}[/tex]. That will equal 1. So now we have [tex](81^1)[/tex] and anything to the power of 1 is itself. So the answer is 81.
The perimeter of the triangle shown below is 37 centimeters. Find the value of x.
2r + 1
3x
2(x + 4)
Answer:
4
Step-by-step explanation:
Perimeter of triangle = 2x + 1 + 3x + 2(x + 4)
= 2x + 1 + 3x + 2x + 8
= 7x + 9
7x + 9 = 37
7x = 37 - 9
= 28
x = 28 ÷ 7
x = 4
Jonathan is shopping for a frame for a square painting. Each side measures 9.5 inches. What is the perimeter of the painting?
PLEASE HELP!!!!!!!!!!!!!!!!!!
Answer:
I hope this helps :)
(x4)2
Find the product
Answer:
8
x
Step-by-step explanation:
pretend the 8 is a exponent
Answer:
[tex]x^{8}[/tex]
Step-by-step explanation:
whenever exponents are separated by parentheses, multiply them
example: [tex](4x^{3})^2[/tex] = [tex]4^{2}[/tex]·[tex]x^{6}[/tex] = 16[tex]x^{6}[/tex]
PLEASE HELP!!!!!! 30 POINTS
What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)?
Answer:
y+5=2⋅(x+2)
Step-by-step explanation: