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3 years ago

12

pierre traveled down a canal by barge from the town of portage (elevations 726 feet) to the town of barrage (elevation 626 feet)

. on the way, he had to pass through a series of locks. if each lowered the garage 20 feet, how many locks did he pass through?

1 answer:

DanielleElmas [232]3 years ago

5 0

Answer:5 locks

Step-by-step explanation:

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The difference y less than 10<br><img src="https://tex.z-dn.net/?f=the%20%5C%3A%20difference%20%5C%3A%20%20%5C%3A%20y%20%5C%3A%2

Art [367]

Answer:

The difference is : 10 - y

Step-by-step explanation:

Let we donate the required difference by 'd'

Now, we need to find difference(d) in such a way that it is y units less than 10. So, Using concept of algebraic expressions :

A number which is less than another can be found by subtracting first number from the second number :

So, the required difference is given by : d = 10 - y

3 0

4 years ago

Read 2 more answers

A space shuttle is made up of 774 "criticality 1" items. Each "criticality 1" item must have 99.99% reliability, according to

gulaghasi [49]

Answer:

a) 0.9999

b)0.0001

Step-by-step explanation:

Given that probability of failure is 0.0001

Then;

a) finding the probability that none of the "criticality 1" items would fail will be;

1-0.0001 =0.9999

b)To find the probability of an event occurring at least once it will be the complement of the probability of the event never occurring.

P(at least one)= 1- P(none)

=1-0.9999= 0.0001

3 0

3 years ago

How do you solve this? (#11/#12)

zepelin [54]

$\text{If}\ x_1,\ \text{and}\ x_2\ \text{are zeros of a polynomial function, then the function}\\\text{has equation}:\\\\f(x)=a(x-x_1)(x-x_2).\\----------------------------\\\\11.\ \text{We have the zeros}\ 3\ \text{and}\ i:\\\\f(x)=(x-3)(x-i)=(x)(x)+(x)(-i)+(-3)(x)+(-3)(-i)\\\\=x^2-xi-3x+3i=\boxed{x^2-(3+i)x+3i}\\\\12.\ \text{We have the zeros}\ -2\ \text{and}\ 2i:\\\\f(x)=(x-(-2))(x-2i)=(x+2)(x-2i)\\\\=x^2-(2i)^2=x^2-2^2i^2=x^2-4(-1)=\boxed{x^2+4}\\\\\text{used}\\\\(a-b)(a+b)=a^2-b^2\\\\i=\sqrt{-1}\to i^2=-1$

3 0

3 years ago

I need answer on this graphing va substitution.Problem 7 I tried to solve it but not sure that’s correct

Bond [772]

Given the system of equations:

$\begin{gathered} 2x+9y=27 \\ x-3y=-24 \end{gathered}$

To solve it by substitution, follow the steps below.

Step 1: Solve one linear equation for x in terms of y.

Let's choose the second equation. To solve it for x, add 3y to each side of the equations.

$\begin{gathered} x-3y=-24 \\ x-3y+3y=-24+3y \\ x=-24+3y \end{gathered}$

Step 2: Substitute the expression found for x in the first equation.

$\begin{gathered} 2x+9y=27 \\ 2\cdot(-24+3y)+9y=27 \\ -48+6y+9y=27 \\ -48+15y=27 \end{gathered}$

Step 3: Isolate y in the equation found in step 2.

To do it, first, add 48 to both sides.

$\begin{gathered} -48+15y=27 \\ -48+15y+48=27+48 \\ 15y=75 \end{gathered}$

Then, divide both sides by 15.

$\begin{gathered} \frac{15y}{15}=\frac{75}{15} \\ y=5 \end{gathered}$

Step 4: Substitute y by 5 in the relation found in step 1 to find x.

$\begin{gathered} x=-24+3y \\ x=-24+3\cdot5 \\ x=-24+15 \\ x=-9 \end{gathered}$

Answer:

x = -9

y = 5

or (-9, 5)

Also, you can graph the lines by choosing two points from each equation, according to the picture below.

7 0

1 year ago

Please help me whats -2(a-3)=12 showing your work and how you did it (solving for a)

kenny6666 [7]

Answer:

i believed its a=-3

Step-by-step explanation:

-2(a-3)=12

-2a+6=12

-2a=6

divide -2

a=-3

4 0

3 years ago