Answers
Substitute:
[tex]x+y=1000 \\ x=1000-y[/tex]
Now we can input this into the other equation so, we only have one variable.
Solve for y.
[tex]0.05(1000-y)+0.06y=57[/tex]
Distribute the parenthesis.
[tex]50-0.05y+0.06y=57[/tex]
Combine Like Terms.
[tex]50-0.01y=57[/tex]
Add -50 to both sides.
[tex](50-0.01y)+(-50)=(57)+(-50)[/tex]
Simplify.
[tex]0.01y=7[/tex]
Divide both sides by 0.01.
[tex](0.01y)/0.01=(7)/0.01[/tex]
Simplify.
[tex]y=700[/tex]
Input this value into the other equation.
[tex]x+700=1000[/tex]
Add -700 to both sides.
[tex](x+700)+(-700)=(1000)+(-700)[/tex]
Simplify.
[tex]x=300[/tex]
The answer would be 300,700
Hope this helps.
-Benjamin
Related Questions
number divided by -3 is less than 6
Answers
if you need to solve to find the number then
n > -18
-0.785714286 as a fraction
Answers
Need some geometry help
Answers
that means
angle AFB is 27 + 2 = 29
angle BFC is 2(27) + 12 = 66
and angle CFD is 2(27) or 54
so hmmmm, you'd know which one isn't there.
In a closing-down sale a shop reduces all its prices by 20%.
Find the sale price of a coat which previously cost $44
Answers
Your business borrowed 10 bitcoins on May 1, when 1 bitcoin was worth $1,418.86. On June 1, 1 bitcoin was worth $2,441.29. Not counting the 1 month of interest, what is the total amount, including the principal, your business owed on June 1, in dollars?
Answers
The business owed a total of $24,464.43, including the principal, on June 1.
Explanation:To calculate the total amount your business owed on June 1, we need to find the value of the borrowed bitcoins in dollars on that date.
Step 1: Convert the number of borrowed bitcoins to dollars on May 1 by multiplying it by the value of 1 bitcoin in dollars: 10 bitcoins * $1,418.86/bitcoin = $14,188.6.
Step 2: Convert the value on May 1 to the value on June 1 by multiplying it by the change in the value of 1 bitcoin:
$14,188.6 * ($2,441.29/$1,418.86)
= $24,464.43.
Therefore, your business owed a total of $24,464.43, including the principal, on June 1.
The total amount owed on June 1, not counting the 1 month of interest, is $24,412.90.
To calculate the total amount owed on June 1, we need to multiply the number of bitcoins borrowed by the value of one bitcoin on that date.
On May 1, the business borrowed 10 bitcoins, and the value of one bitcoin on June 1 was $2,441.29. Therefore, the total amount owed on June 1, excluding interest, is calculated as follows:
Number of bitcoins borrowed = 10
Value of one bitcoin on June 1 = $2,441.29
Total amount owed on June 1 (in dollars) = Total amount owed on June 1 (in dollars) = [tex]10 \times $2,441.29[/tex]
Total amount owed on June 1 (in dollars) = $24,412.90
Thus, the total amount owed on June 1, not counting the 1 month of interest, is $24,412.90.
A population of rabbits is growing exponentially. The function f(x) = 5(2)t models the number of rabbits after t months.
Based on the model, what is the growth factor for the population of rabbits?
Answers
Tell me if its right...
Answer:
The growth factor is '2'
Step-by-step explanation:
Here, the given function that represents the population of the rabbits that is increasing exponentially,
[tex]f(x)=5(2)^t----(1)[/tex]
Since, the growth factor is a multiplier that increases the value per period,
Also, in an exponential growth function,
[tex]y=ab^x[/tex]
b is called the growth factor where x is a variable,
Since, in function (1) t is a variable ( time in months )
By comparing, b = 2,
Hence, the growth factor is 2 for the given function.
?????????????????????
Answers
F = m*a This is the second Law of Newton
2) option J
d = √ [a^2 + b^2 ]
That is the application of Pythagorean theorem, which applys for right triangles.
3) Use sine ratio
sin (30°) = opposite-leg / hypotenuse
=> opposite-leg = hypotenuse * sin(30°)
opposite-leg = f(h)
hypotenuse = h
sin(30°) = 1/2
=> f(h) = h * 1/2
=> option c. f(h) = (1/2)h
4) The formula for the volume of a cylinder is V = area of the base * height
Here area of the base = π(r^2)
height = 2r
=> V (r) = 2π(f^3) <----- option G.
5) The slope - y -intercept function of the line is y = mx + b where m is the slope and b is the y-intercept.
In this problem m = c and b = d
So, the answer is y = cx + d <------ option B.
6) Use the formula speed = distance / time => time = distance / speed
=> f(x) = x / m < ------ option J
7) Use the equation of the distance
distance^2 = (x - x1)^2 + (y - y1)^2
given y = 2x + 7 and (x1,y1) = (3,0)
=> distance^2 = (x - 3)^2 + ( 2x + 7 - 0)^2
=> distance^2 = (x - 3)^2 + (2x + 7)^2
=> f(x) = √ [ (x - 3)2 + (2x + 7)^2 ] <------- option D
Jon makes $78 in 12 hours of work for his mom. how much would jon make in 20 hours of work
Answers
for 20 hrs...
6.50 * 20 = $ 130 <==
Answer:
$130
Step-by-step explanation:
This is a direct proportionality between the amount he makes and the time worked. As the time increases, so does the amount he makes and vice versa.
Let the amount made be A and the time T
A ∝ T,
A = KT where K is the constant of proportionality
where Jon makes $78 in 12 hours of work, A = 78, T = 12
78 = 12K
K = 6.5
A = 6.5T
In 20 hours of work, T = 20
A = 6.5 × 20
A = $130
The equation below describes a proportional relationship between x and y. What is the constant of proportionality? y=2/7x
Answers
is the constant of proportionality is : 2/7
1/6d + 2/3 = 1/4(d-2)
Answers
1/6d + 2/3 = 1/4(d-2)
1/6d + 2/3 = 1/(4d-8)
Multiplying both sides by 1/(4d-8)
(4d-8/6d) + 2/3 = 1
Multiplying both sides by 6d
(4d - 8) + 2/3 = 6d
4d - 24/3 + 2/3 = 6d
4d - 22/3 = 6d
-2d = 22/3
2d = -22/3
d = -11/3
Vehicle a averages 14 miles per gallon of gasoline, and vehicle b averages 36 miles per gallon of gasoline. at these rates, how many more gallons of gasoline does vehicle a need than vehicle b to make a 1,008-mile trip?
Answers
Final answer:
Vehicle A requires 72 gallons and vehicle B requires 28 gallons for a 1,008-mile trip. Therefore, vehicle A needs 44 more gallons of gasoline than vehicle B for the trip.
Explanation:
To calculate the number of gallons of gasoline each vehicle needs for the trip, we would divide the total distance of the trip by the miles per gallon (mpg) that each vehicle gets. Then, to find out how many more gallons of gasoline vehicle A needs than vehicle B, we subtract the gallons of gasoline used by vehicle B from the gallons used by vehicle A.
First, we find the gallons needed for vehicle A:
Vehicle A: 1,008 miles ÷ 14 mpg = 72 gallonsNext, we calculate the gallons needed for vehicle B:
Vehicle B: 1,008 miles ÷ 36 mpg = 28 gallonsFinally, we determine how many more gallons vehicle A requires than vehicle B:
Additional gallons needed by vehicle A: 72 gallons - 28 gallons = 44 gallons
The radius of a sphere is 3 inches. Which represents the volume of the sphere?
A) 12π cubic inches
B) 36π cubic inches
C) 64π cubic inches
D) 81π cubic inches
Answers
Answer: B) [tex]36\pi \text{cubic inches}[/tex]
Step-by-step explanation:
We know that the volume of a sphere is given by :-
[tex]\text{Volume}=\dfrac{4}{3}\pi r^3[/tex], where r is radius of the sphere.
Given : The radius of the sphere = 3 inches
Then , the volume of the sphere will be :-
[tex]\text{Volume}=\dfrac{4}{3}\pi (3)^3\\\\\Rightarrow\ \text{Volume}=36\pi \text{ cubic inches}[/tex]
Hence, the volume of the sphere = [tex]36\pi \text{ cubic inches}[/tex]
Solve the inequality. -2/3x – 10 < 1/3
Answers
Hope this helps
-2/3x-10<1/3
add 10 to both sides
-2/3x<10 1/3
divide -2/3 (which means to flip the numbers and multiply!)
since you divide by a negative, you flip the sign!
x> -31/2, -15.5, -15 1/2
How do you write 650 as a fraction or mixed number in simplest form?
Answers
** if u have a whole number, and u want to make it a fraction, just put it over 1
Which answer is equal to i58 ?
−i
i
−1
1
Answers
As per complex number, the value of [tex]i^{58}[/tex] is (- 1).
What is a complex number?"Complex number is the number that is expressed in the form of [tex](a + ib)[/tex]where, 'a', 'b' are real numbers and 'i' is an imaginary number."
Therefore, the simplified value is
[tex]i^{58} \\= (\sqrt{-1})^{58} \\= (-1)^{29} \\= -1[/tex]
Learn more about a complex number here: https://brainly.com/question/10251853
#SPJ2
m/x = k - 6 Solve for m
Answers
A farmer has 6 1/2 of land for growing crops. If she plants corn on 3/5 of land, how many acres of corn will she have?
Answers
Find the distance between the given points . find the midpoint of the segment with the given endpoints. round to the nearest tenth, if necessary
Answers
If b= the number of boys, which algabraic expression represents the phase?
Answers
Peter is reading a 193-page book. he has read three pages more than one-fourth of the number of pages he hasn't yet read. how many pages has he not yet read? 147 144 152 141
Answers
"He has read three pages more than one-fourth of the number of pages he hasn't yet read." The first key phrase here is "he has read." What this means is that the number of pages he's read, which we've named [tex]m[/tex], is equal to everything in the rest of the sentence. "Thee pages more than" means that we're going to be adding 3 to whatever the next quantity described is, which, in this case, is "one-fourth of the number of pages he hasn't yet read." We already established earlier that "the number of pages he hasn't yet read" is [tex]193-m[/tex], so one-fourth of that would be [tex] \frac{1}{4} (193-m)[/tex]. Putting everything together, we get the following equation:
[tex]m= \frac{1}{4} (193-m)+3[/tex]
To solve for [tex]m[/tex], we might first want to eliminate the fraction 1/4 by multiplying both sides of the equation by 4, obtaining
[tex]4m=193-m+12[/tex]
Solving for m, we get:
[tex]4m=193+12-m\\5m=205\\m=41[/tex]
Now that we have m, it's a simple matter to solve for [tex]193-m[/tex]:
[tex]193-41=152[/tex]
So, he has not yet read 152 pages.
If 17 is increased to 23, the increase is what percent of the original number? (this is known as the percent of change.)
Answers
The percentage of increase:
(6/17)*100=35.2942%
= 6
The percentage is for 100%
Thus, the increase divided by the original value, gives you the answer.
So, 6/23 x 100% is equal to 26.08%
If we round that answer up we get, 26.1
Hope this helps :))
can you help me round 3,418,913 to the nearest thousand
Answers
will give award to whoever answers!
justify each step in solving 4x - 3 = 9
4x - 3 + 3 = 9 + 3
4x = 12
4x/4 = 12/4
x = 3
Answers
4x = 9 + 3
4x = 12
x = 3
hope that helps, God bless!
x=3is this right?
are the lines the same if the right line is a translation of the left line 4 units to the right
Answers
there are 13 animals in the barn some are ducks and some are pigs there are 42 legs in all how many of each animal are there (ducks have 2 legs and pigs have 4)
Answers
1=6(2 legs from the duck, 4 legs from the pig)
2=12(4 legs from the ducks, 8 legs from the pigs)
3=18(6 legs from the ducks, 12 legs from the pigs)
4=24(8 legs from the ducks, 16 legs from the pigs)
5=30(10 legs from the ducks, 20 legs from the pigs)
6=36(12 legs from the ducks, 24 legs from the pigs)
7=42(14 legs from the ducks, 28 legs from the pigs)
what is x ⋅ x ⋅ x = ?
Answers
Think of it like this:
x ⋅ 1 = x^1
x ⋅ x = x^2
Therefore x ⋅ x ⋅ x = x^3.
Hope this helps! :)
How many hours did Miriam stop to rest
Answers
Find the prime factorization of 210.
2 X 3 X 5 X 7
2 X 3 X 35
2 X 7 X 15
Answers
________________________________________________________
210 = 70 * 3 ;
70 * 3 = 35 * 2 * 3 ;
35* 2* 3 = 7 * 5 * 2 * 3 ; which corresponds to "Answer choice: [A]." .
________________________________________________________
Answer: 2 X 3 X 5 X 7
Step-by-step explanation:
The given number to find the prime factorization =210
We know that 210 can be written as [tex]21\times10[/tex]
Also , 21 can be written as [tex]3\times7[/tex].
And 10 can be written as [tex]2\times5[/tex]
Then , the prime factorization of 210 is given by :-
[tex]210=21\times10\\\\=3\times7\times2\times5[/tex]
Hence, the prime factorization of 210= 2 X 3 X 5 X 7
Molly bought a case of bottled water at the store. The case contains 48 bottles. Molly knows that she will drink 3 bottles of water each day and plans to restock her supply of water once she has fewer than 10 bottles left. Determine which inequality is used to find the number of days, x, before Molly will need to restock her supply of bottled water
Answers
48 - 3x < 10 we use is less than because "has fewer than"
If you solve this inequality by subtracting 48, then dividing by -3 (switch inequality sign), you get x > 12[tex] \frac{2}{3} [/tex]
48 - 3x < 10, x=13
13 days
Xavier is a salesperson who is paid a fixed amount of $455 per week. He also earns a commission of 3% on the sales he makes. If Xavier wants to earn more than $575 in one week, how many dollars (x) in sales must he make?
Answers
The answer is c reason I now this is cause I had this on my test