Brandon uses the steps below to solve the equation 15x+6=14x+5 using algebra tiles. Step 1 Add 14 negative x-tiles to both sides. Step 2 Add 5 negative unit tiles to both sides Step 3 The solution is x=1 Which explains whether Brandon is correct?

Answers

Answer 1
Answer:

Answer:

No he was not correct

Step-by-step explanation:

The Equation is 15 x + 6 = 14 x + 5

now By the steps brandon used let us solve the question

Step 1 : Add 14 negative x tile to both sides

which will make the equation

15x + 6 - 14x = 14x + 5 - 14 x

x + 6 = 5  .......(ii)

Step 2: Add 5 negative unit tiles to both sides of equation (ii)

which will make the equation

x +6 - 5 = 5 - 5

x + 1 = 0  .........(iii)

Step 3: x =1 is the answer

but from equation (iii) we see that

x + 1 =0

by adding -1 on both sides

x + 1 -1 = 0-1

x = -1

So the step three done by Brandon is wrong which explains he was not correct

Answer 2
Answer:

Answer:

D.) Brandon is not correct because he should have added 6 negative unit tiles to isolate the variable in step 2.

Step-by-step explanation:

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A foreman for an injection-molding firm admits that on 55% of his shifts, he forgets to shut off the injection machine on his line. This causes the machine to overheat, increasing the probability that a defective molding will be produced during the early morning run from 3% to 15%. The plant manager randomly selects a molding from the early morning run and discovers it is defective. What is the probability that the foreman forgot to shut off the machine the previous night?

Answers

Answer:

0.8594

Step-by-step explanation:

Let a denote the event of forgetting to shut off machine and b be the event of being defective.

-A foreman forgets to shut off machine 55% of the time.

-If he forgets, 15% of molds are defective.

-If he does not, 3% of molds are defective.

#The probability that he forgot to shut off the machine is calculated as:

P(a \ and \ b)=0.55* 0.15\n\n=0.0825\n\n

P(a and ~b)=0.55(1-0.15)=0.4675

P(~a and b) = (1-0.55)*0.03=0.0135

P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365

#Conditional probability is defined as:

P(a|b)=(P(a \ and\  b))/(P(a))\n\n=(P(a \ and \ b))/([(P(a \ and \ b)+P(\~a \ and \ b))\n\n\n=(0.0825)/(0.0825+0.0135)\n\n\n=0.8594

Hence,  the probability that the foreman forgot to shut off the machine the previous night is 0.8594

A hot-air balloon is at an elevation of 4,800 feet if the balloon falls 40 feet per minute how long will it take for the balloon to reach 2000 feet

Answers

1. 4800-2000=2800
This is the distance that the balloon needs to fall to reach an altitude of 2000 feet.
2. 2800/40=70
Distance/rate=time
The answer is 70 minutes.

Multiply the following equation: (2x-7)(x+3).

Answers

FOIL
first
outer
inner
last
example if you had
(a+b)(c+d)
first a times c
outer a times d
inner b times c
last b times d

(2x-7)(x+3)
first 2x times x=2x^2
outer 2x times 3=6x
inner -7 times x=-7x
last -3 times 3=-21

add them
2x^2+6x-7x-21
2x^2-x-21

Muriel says she has written a system of two linear equationsat has an infinite number of solutions One of the equationsof the system is 3y 2x 9. Which could be the otherequation?

Answers

The equation of the line is
3y = 2x - 9

For the system to have infinite number of solutions, the equations of the lines must be equivalent i.e., the equations will result to the same equation if the coefficient of one variable in an equation is made equal to the coefficient of the same variable to the other equation. So,

The possible answers are
y = 2/3 x - 3
3/2 y = x - 9/2

Or any multiples or rearrangements of either equations.

Answer:

y=2/3x-3

Step-by-step explanation:

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Answers

Answer:

d c a

Step-by-step explanation:

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Answers

solpe intercpt form is y=mx+b
m=slope
b=y intercept
so exg
if you have
3x+8y=8
subtract 3x from both sides
8y=3x+8
divide boh tsides by 8
y=8/3x+1
y intercpt=1
slope=8/3
the slope-intercept form should be( y=mx+b )