A local road rises 15 feet for every 309 feet of highway . What is the slope of the highway
Simultaneous Equations
2x+3y=3750, 4x+y=4250
The answer is x=900 and y=650
I just need the steps
Answer:
It's long but you use Substitution!
Step-by-step explanation:
Let's solve your system by substitution.
2x+3y=3750;4x+y=4250
Rewrite equations:
4x+y=4250;2x+3y=3750
Step: Solve 4x+y=4250 for y:
4x+y = 4250
4x+y+−4x = 4250+−4x (Add -4x to both sides)
y = −4x+4250
Step: Substitute −4x+4250 for y in 2x+3y = 3750:
2x+3y=3750
2x+3(−4x+4250)=3750
−10x+12750=3750 (Simplify both sides of the equation)
−10x+12750+−12750=3750+−12750 (Add -12750 to both sides)
−10x =−9000
−10x = −9000 (Divide both sides by -10)
−10 −10
x=900
Step: Substitute 900 for x in y = −4x+4250:
y=−4x+4250
y=(−4)(900)+4250
y=650 (Simplify both sides of the equation)
Answer:
x=900 and y=650
please help me
find dy/dx using implicit differentiation
e^((x+y)/4) +tan(ln(x/y)) = e^sqrt(y)
Step-by-step explanation:
Taking log both sides :
[tex]( \frac{x + y}{4} ) + \tan( ln( \frac{x}{y} ) ) = \sqrt{y} [/tex]
Differentiate both sides w.r.t x :
[tex] \frac{1}{4} + \frac{1}{4} \frac{dy}{dy} + {sec}^{2} ( ln\frac{x}{y} ) + \frac{y}{x} + \frac{1}{y} - \frac{x}{ {y}^{2} } = \frac{1}{2 \sqrt{y} } \frac{dy}{dx} [/tex]
Rearranging :
[tex]( \frac{4 - 2 \sqrt{y} }{8 \sqrt{y} }) (\frac{1}{4} + {sec}^{2} ( ln\frac{x}{y} ) + \frac{y}{x} + \frac{1}{y} - \frac{x}{ {y}^{2} }) = \frac{dy}{dx} [/tex]
(You can rearrange it further)
Some students are planning to sell gourmet popcorn at a school fundraiser. They plan to offer cheese popcorn and peanut butter popcorn. The table shows the cost of the ingredients for each type of popcorn and the price at which the students plan to sell the popcorn.
The students want to make and sell 100 containers of popcorn. They can spend at most $50 for the ingredients for each type of popcorn and the price at which the students plan to sell the popcorn.
Answer : 5 Step-by-step explanation:
-2n+3=9 check your answer
Answer:
-3
Step-by-step explanation:
-2n+3=9
-2n=6
n=-3
Which of the following relationships does NOT represent y as a function of x ?
a) y^3 = x
b) y = 1/x
c) y = x^2
d) y^2 = x
Step-by-step explanation:
A constant regarding force of 10 Newton is exerted to a body of mass 20 kg moving initially with a speed of 10 meter per second how long does the body take to stop
1=12-w
Help solve please
Expand and simplify the following expression: 2x(x+3)+ 3(2x-1)+5
I WILL GIVE BRAINLIEST TO WHOEVER HELPS ME!!
Answer:
it changes by -4 pounds each month
Step-by-step explanation:
20 pounds in 5 months
20/5 is 4 pounds per month
the elephant loses 4 pounds a month
On which interval are both the sine and cosine functions increasing?
A (3pi/2, 2pi)
B (pi/2, pi)
C (0, pi)
D (pi, 3pi/2)
Answer: It’s A
Step-by-step explanation:
On the interval (3π/2, 2π), both the sine and cosine functions are increasing.
What are the values of sine and cosine functions at (0, π/2, π, 3π/2, 2π)?The values of sine and cosine functions at (0, π/2, π, 3π/2, 2π) are as follows:
sin (0) = 0; cos (0) = 1
sin (π/2) = 1; cos (π/2) = 0;
sin (π) = 0; cos (π) = - 1
sin (3π/2) = - 1; cos (3π/2) = 0
sin (2π) = 0; cos (2π) = 1
Therefore, it is clear from the above values of sine and cosine that on the interval (3π/2, 2π), both the sine and cosine functions are increasing.
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What is the factored form of 5x − 625x4?
Answer:
I think it's 5 I think
Step-by-step explanation:
hopefully I helped
Answer:
I think it's 5
Step-by-step explanation:
There are 18 girls in Mr. Brimley's math class. If 40% of the students are girls, what is the best estimation for the number of boys in the class?
A. 20
B. 30
C. 40
D. 50
Answer:Its B I got It right on my test
Step-by-step explanation:
is 1.36 a rational number or irrational number
Answer:
No an irrational number
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction of two integers . -1.36 can be expresed as -136/100
Answer:
Rational!
Step-by-step explanation:
Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. So, any terminating decimal is a rational number. Any decimal number that is repeating can be written in the form a/b with b not equal to zero so it is a rational number.
I hope this helps you understand what a rational number is! Have a wonderful day!
what is 3/4r+2r+1/2r
5) Boat World charges an initial price of $20 plus $12.50 per hour for canoe rentals, which is
represented by the expression 20 + 12.5h.
• Complete each statement to describe the terms.
Answer:
The variable "h" represents: The number of hours
The constant 20 represents: the initial rental price
The variable term 12.5h represents: the hourly rental amount
Step-by-step explanation:
The Fenwick family filled their new in-ground swimming pool with 75,700 liters of water. One gallon of water is about 3.785 liters. About how many gallons of water are in the pool?
gallons
Answer:
20,000 gallons
Step-by-step explanation:
75,700 ÷ 3.785 = 20,000 gallons that are in the pool.
Answer:
20,000
Step-by-step explanation:
hoped this helped :D
Three swimmers competed in a race.
Karen finished 4.367 seconds ahead of Mary.
Brenda finished in 35.04 seconds.
Brenda finished 2.45 seconds behind Mary.
What was Karen’s finish time?
Answer:
33.123
Step-by-step explanation:
Brenda is at 35.04 seconds which is 2.45 seconds behind Mary so Mary is at 37.49 seconds.
Karen is ahead of Mary by 4.367 seconds which means she is at 33.123
solve for y
2/3+y -1/9=7/9
Answer: y = 2/9
..............................
Convert 10 feet into yards. Round your answer to the nearest hundredth.
Answer:
3.33 Yards
Step-by-step explanation:
divide 10 by 3
I think of a number.
I multiply this number by 8, then subtract 66
The result is twice the number that I was thinking of.
What is the number I was thinking of?
Answer:
11
Step-by-step explanation:
Set up:
8x - 66 = 2x -> Subtract 2x from either side
8x - 2x = 66 -> Simplify
6x = 66 -> Divide either side by 6
x = 66/6 = 11
The number is 11
A green grocer has 180 mangoes to sell. She has to arrange them in piles of 9, 10 or 12mangoes.
In which ways would she arrange the mangoes without any remaining?
Answer:
in piles of 9,10 &12
Step-by-step explanation:
this is because if you divide 180 by each number there is no remainder hence the green grocer can arrange in any way.
It is possible to arrange the total of mangoes by using 20 piles of 9 mangoes, 18 piles of 10 mangoes, or 15 piles of 12 mangoes.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
The conditions for mangoes to be arranged are that the piles should have either 9, 10 or 12 mangoes and reminders are not allowed. This means you need to fit all the mangoes and no mangoes can be left.
Based on the conditions and the total number of mangoes (180 mangoes), here are the possibilities that you can determine using division:
9 mangoes piles: 180/ 9 = 20 piles (9 x 20 = 180 with no remainders)
10 mangoes piles: 180/10 = 18 piles (10 x 18 = 180 with no remainders)
12 mangoes piles: 180/12 = 15 piles (12 x 15 = 180 with no remainders)
Hence, It is possible to arrange the total of mangoes by using 20 piles of 9 mangoes, 18 piles of 10 mangoes, or 15 piles of 12 mangoes.
Learn more about division in
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the national debt is $22,000,000,000,000 and the population is 280,000,000. what is the amount of debt per person?
Answer:
78571.43 dollars
Step-by-step explanation:
brainliest appreciated
Solutions to 39=4-7v
Answer:
v=-5
Step-by-step explanation:
39=4 -7v
39-4= (4-4) -7v
35=-7v
35/-7= -7v/-7
-5=v
PLEASE HELP!!! ILL GIVE BRAINLIEST THIS IS WORTH 10 POINTS PLEASE (ignore where it says 8&2 points it’s how much the question adds up to in the grade book)
Answer:
Since the points X , Y and Z are collinear:
For the diagram, you just have to draw a line and mark the end-points of the line as X and Z and mark the mid-point of the line as Y
Since we are given that XY = YZ,
We will replace with the provided values:
XY = YZ
4(x + 5) = 2(x + 11)
4x + 20 = 2x + 22
2x = 2
x = 1
Since x = 1 and XY = YZ,
We can say that:
XZ = XY + YZ
XZ = XY + XY or XZ = 2XY
Now, replacing the variables for the value of XZ
XZ = 2XY
XZ = 2(4x + 20)
XZ = 2(4 + 20) (Since x = 1)
XZ = 48 units
Josh buys 6 pencils at the bookstore. Each pencil costs $0.20. How can Josh use the number
line to find the total cost of the pencils?
Drag the numbers or costs into the boxes below to explain your answer. Numbers may be used once or not at all.
4$1.200.660.20$1.001$6.00
Start at
on the number line. Mark
parts that are each
. The product
represents the total cost, which is
1.2
.
Answer:
add and subtract it
it's correct answer
2c + y = 7 solve for y
Answer:
y = 7 - 2c
Step-by-step explanation:
Step 1:
2c + y = 7 Equation
Step 2:
y = 7 - 2c Subtract 2c on both sides
Answer:
y = 7 - 2c
Hope This Helps :)
Answer:
y = 7 - 2c
Step-by-step explanation:
2c + y = 7
=> y = 7 - 2c
Is everything correct and how do you do the last part?
Answer:
5 terms
Step-by-step explanation:
Yes, that's correct. For the last part, set b₊₁ less than or equal to the error.
1 / (5ⁿ⁺¹ (n+1)!) ≤ 0.000005
5ⁿ⁺¹ (n+1)! ≥ 200,000
Use trial and error to find the value of n (notice that n starts at 0).
n = 0, 5ⁿ⁺¹ (n+1)! = 5
n = 1, 5ⁿ⁺¹ (n+1)! = 50
n = 2, 5ⁿ⁺¹ (n+1)! = 750
n = 3, 5ⁿ⁺¹ (n+1)! = 15,000
n = 4, 5ⁿ⁺¹ (n+1)! = 375,000
n = 4 is the fifth term. So it takes 5 terms.
Find the distance between the points (-4,0) and (2,1). If necessary,round to the nearest 10th.
Answer:
square root of 37
Step-by-step explanation:
you would use the formula (X2-X1) squared + (Y2-Y1) squared
PLEASE HELP!!! ILL GIVE BRAINLIEST THIS IS WORTH 30 POINTS PLEASE (ignore where it says 10 points it’s how much the question adds up to in the grade book)
Answer:
4.472136 or 4.5 is the distance.
(2, -4) is the midpoint.
Step-by-step explanation:
Answer:
4.47 units(2, -4)Step-by-step explanation:
Given points
A(1, -2) and B(3, -6)Distance AB is
AB = √((3 -1)^2 + (-6 + 2)^2) = √(4+16) = √20 = 4.47Midpoint is
M = ((1+3)/2, (-2- 6)/2) = (2, -4)Find the common ratio of the geometric sequence –5,–30, -180,...
Answer:
6
Step-by-step explanation:
You have to find what to multiply by to get to the next term
-30 ÷ -5 = 6
- 180 ÷ -30 = 6
therfore the common ratio is 6