Carly tried to solve an equation step by step. \qquad\begin{aligned} -4(7j+2)&=10\\\\ \\ 7j+2&=-40&\green{\text{Step } 1}\\\\ \\ 7j&=-42&\blue{\text{Step } 2}\\\\ \\ j&=-6&\purple{\text{Step } 3}\\\\ \end{aligned} −4(7j+2) 7j+2 7j j ​ =10 =−40 =−42 =−6 ​ Step 1 Step 2 Step 3 ​ Find Carly's mistake.

Answers

Answer 1
Answer:

Answer:

x+6=±5

Step-by-step explanation:

Answer 2
Answer:

Final answer:

Carly's mistake occurred in Step 2. She incorrectly divided both sides of the equation by 7 instead of subtracting 2 from both sides.

Explanation:

Carly's mistake occurred in Step 2. In this step, she incorrectly divided both sides of the equation by 7 instead of subtracting 2 from both sides. Let's correct her mistake:

-4(7j+2) = 10
7j+2 = -40
7j = -42
j = -6

Instead of dividing both sides by 7, Carly should have subtracted 2 from both sides:

7j + 2 - 2 = -40 - 2
7j = -42
j = -6

Therefore, Carly should have subtracted 2 from both sides in Step 2 instead of dividing by 7.


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Answers

Answer:

AA, AD, AC, AB (or flipped)

BB, BD, BC, BA (or flipped)

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Step-by-step explanation:

The Hogwarts Express train has reduced its one-way fare from 360360 360 360 galleons to just 270270 270 270 galleons. What is the percentage decrease in the fare?

Answers

we are given

original fare =360

new fare =270

now, we can find decrease in fare

decrease in fare = original fare - new fare

so, we can plug value

decrease in fare = 360-270

decrease in fare =90

now, we can find percentage decrease in fare

=(90)/(360)* 100

=25%...........Answer

Answer: I will just start off saying I love how they made this question harry potter themed but anyways the answer is 25%

What multiplies to give you 60 but adds to give you -17

Answers

Answer:

-5 and -12

Step-by-step explanation:

John had $21 to spend on 2 notebooks. After buying them he had $13. How much did each notebook cost?

Answers

john had 21.00After buying 2 notebooks he had 13.00

21-13= 8 / 2 =4 each notebook cost 4 dollars.

A baseball team plays in a stadium that holds 50000 spectators. When the ticket price is $10, the average attendance is 27000. When the price is lowered to $6, the average attendance rose to 39000. Find a demand function, D(q), where q is the quantity or number of spectators and D(q) is linear.

Answers

Answer:

the answer is below

Step-by-step explanation:

Demand seems to be based on price.

Therefore we must consider two things:

that "x" is equal to the price and that "y" is equal to the average attendance.

Thus:

the two points would be:

(x1, y1) = (10,27000)

(x2, y2) = (6.39000)

The slope of a straight line is given by:

m = (y2-y1) / (x2-x1)

we replace:

m = (39000 - 27000) / (6 - 10) = 12000 / -4 = -3000

The equation of a straight line can be expressed like this

y = m * x + b.

where

m is the slope and b is the y-intercept.

we replace

y = -3000 * x + b.

To solve for b, replace x and y with the value of one of the points on the line.

We choose (6.39000). and we replace:

39000 = -3000 * 6 + b

39000 = -18000 + b

39000 + 18000 = b

b = 57000.

if we replace we have:

the equation becomes y = -3000 * x + 57000

since it is the demand and * x is the price.

t = d (x), therefore the equation becomes

d (x) = -3000 * x + 57000.

d (x) = 57000 - 3000 * x.

when x = 0, the price is 0 and the demand will be 57000, which will be more than the stadium can contain because the stadium can only contain 50,000.

So:

when x = 6, the price is 6 and the demand is 57000 - 18000 = 39000.

when x = 10, the price is 10 and the demand is 57000 - 30000 = 27000.

Final Answer:

The demand function D(q) we are looking for is given by D(q) = -3q + 351,000.

Explanation:

We're looking for a linear demand function D(q) of the form D(q) = aq + b, where q is the quantity or number of spectators.

We have two pieces of information here:

1) When the ticket price is $10, the average attendance is 27000, which gives us the equation: 10 * 27000 = a * 27000 + b, i.e 270,000 = 27,000a + b.

2) When ticket price is lowered to $6, the average attendance rose to 39000, which gives us the equation: 6 * 39000 = a * 39000 + b, i.e  234,000 = 39,000a + b.

Let's solve this system of equations to find the values of a and b.

To isolate a, we can subtract the second equation from the first: 270,000 - 234,000 = 27,000a - 39,000a, this simplifies the equation to 36,000 = 12,000a.

So, we divide both sides by 12,000 to solve for a:

a = (270,000 - 234,000) / (27,000 - 39,000) = -3.

So, the coefficient of q in our demand function is -3.

Now, let's find b by plugging in the value of a into the first equation.

Thus, b is equal to 270,000 - (27,000 * -3), which gives

b = 270,000 + 81,000 = 351,000.

At this point, we have the values for our coefficients a and b as -3 and 351,000, respectively.

Therefore, the demand function D(q) we are looking for is given by D(q) = -3q + 351,000.

To know more about demand function:

brainly.com/question/38859172?

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What’s the slope of y = - 4x - 3?

Answers

The slope is -4.
m=-4