In Atlanta, the temperature was −2 °F

in the morning in the winter. There was a winter storm, and the temperature dropped 10 degrees. What is the temperature now?(1 point)
Responses...

−12 °F
−12 °F

12 °F
12 °F

−8 °F
−8 °F

8 °F
8 °F

11 answers

To find the new temperature after it dropped 10 degrees from the initial temperature of -2 °F, you subtract 10 from -2:

\[ -2 °F - 10 °F = -12 °F \]

Therefore, the temperature now is −12 °F.

A mountain climber starts a climb at an elevation of 380 ft. above sea level. At his first rest stop he has climbed 182 ft., and by his second rest stop he has climbed another 208 ft. It is getting late in the day, so the climber starts his way down the mountain. If the climber descends 235 ft, how much does he need to descend to return to his original starting point?(1 point)
Responses

155 feet
155 feet

78 feet
78 feet

535 feet
535 feet

235 feet

To find out how far the climber is above sea level after his climbs and descent, we can follow these steps:

  1. Starting elevation: 380 ft
  2. Climb to first rest stop: Climbs 182 ft \[ 380 ft + 182 ft = 562 ft \]
  3. Climb to second rest stop: Climbs another 208 ft \[ 562 ft + 208 ft = 770 ft \]
  4. Descent: Descends 235 ft \[ 770 ft - 235 ft = 535 ft \]

Now, to return to the original starting point of 380 ft, we need to calculate the difference:

\[ 535 ft - 380 ft = 155 ft \]

Thus, the climber needs to descend 155 feet to return to his original starting point.

Tickets to the baseball game are on sale for $1.50 off the regular price. Dea buys 6 tickets. If her total cost is $51, how much is the regular price of each ticket?(1 point)
Responses

$10.00
$10.00

$7.00
$7.00

$8.25
$8.25

$8.75

Let's denote the regular price of each ticket as \( p \).

Since the tickets are on sale for $1.50 off the regular price, the sale price of each ticket is:

\[ p - 1.50 \]

Since Dea buys 6 tickets for a total cost of $51, we can set up the equation:

\[ 6(p - 1.50) = 51 \]

Now, let's solve the equation step by step:

  1. Distribute the 6: \[ 6p - 9 = 51 \]

  2. Add 9 to both sides: \[ 6p = 60 \]

  3. Divide by 6: \[ p = 10 \]

Thus, the regular price of each ticket is $10.00.

Which situation is best represented by the following equation?

12h+30=258

(1 point)
Responses

Eric was paid $30 last week. He was paid a $258 bonus and $12 for each hour he worked. What is h, the number of hours Eric worked last week?
Eric was paid $30 last week. He was paid a $258 bonus and $12 for each hour he worked. What is h, the number of hours Eric worked last week?

Eric was paid $258 last week. He was paid a $12 bonus and $30 for each hour he worked. What is h, the number of hours Eric worked last week?
Eric was paid $258 last week. He was paid a $12 bonus and $30 for each hour he worked. What is h, the number of hours Eric worked last week?

Eric was paid $258 last week. He was paid a $30 bonus and $12 for each hour he worked. What is h, the number of hours Eric worked last week?
Eric was paid $258 last week. He was paid a $30 bonus and $12 for each hour he worked. What is h, the number of hours Eric worked last week?

Eric was paid $30 last week. He was paid a $12 bonus and $258 for each hour he worked. What is h, the number of hours Eric worked last week?
Eric was paid $30 last week. He was paid a $12 bonus and $258 for each hour he worked. What is h, the number of hours Eric worked last week?
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To analyze the equation \(12h + 30 = 258\), let's break it down to understand what each term represents:

  • \(12h\): This term suggests that Eric is earning $12 for each hour he worked, which means he's being paid hourly.
  • \(30\): This represents a fixed amount, likely a bonus or a flat rate payment.
  • \(258\): This represents the total amount Eric was paid.

Given this breakdown, we want to find a situation that matches the equation. The situation that best corresponds to the equation is:

"Eric was paid $30 last week. He was paid a $30 bonus and $12 for each hour he worked. What is h, the number of hours Eric worked last week?"

This situation assumes that the $30 is separate from the earnings based on hours worked at $12 per hour, leading to a total of $258 when combined.

Hence, the correct response is:

Eric was paid $30 last week. He was paid a $30 bonus and $12 for each hour he worked. What is h, the number of hours Eric worked last week?

13 of 1713 of 17 Items

Question
Which situation is best represented by the following equation?

12h+30=258

(1 point)
Responses

Eric was paid $30 last week. He was paid a $258 bonus and $12 for each hour he worked. What is h, the number of hours Eric worked last week?
Eric was paid $30 last week. He was paid a $258 bonus and $12 for each hour he worked. What is h, the number of hours Eric worked last week?

Eric was paid $258 last week. He was paid a $12 bonus and $30 for each hour he worked. What is h, the number of hours Eric worked last week?
Eric was paid $258 last week. He was paid a $12 bonus and $30 for each hour he worked. What is h, the number of hours Eric worked last week?

Eric was paid $258 last week. He was paid a $30 bonus and $12 for each hour he worked. What is h, the number of hours Eric worked last week?
Eric was paid $258 last week. He was paid a $30 bonus and $12 for each hour he worked. What is h, the number of hours Eric worked last week?

Eric was paid $30 last week. He was paid a $12 bonus and $258 for each hour he worked. What is h, the number of hours Eric worked last week?
Eric was paid $30 last week. He was paid a $12 bonus and $258 for each hour he worked. What is h, the number of hours Eric worked last week?
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page 1 of 1

To solve for the correct situation that matches the equation \(12h + 30 = 258\), we need to interpret the components of the equation:

  • \(12h\) represents the total pay Eric earns from working \(h\) hours at a rate of $12 per hour.
  • \(30\) represents a fixed amount of pay, likely a bonus.
  • \(258\) represents the total amount Eric was paid.

Given this understanding, let’s analyze the provided options:

  1. Eric was paid $30 last week. He was paid a $258 bonus and $12 for each hour he worked.
  2. Eric was paid $258 last week. He was paid a $12 bonus and $30 for each hour he worked.
  3. Eric was paid $258 last week. He was paid a $30 bonus and $12 for each hour he worked.
  4. Eric was paid $30 last week. He was paid a $12 bonus and $258 for each hour he worked.

The correct interpretation of the equation is represented by option 3:

Eric was paid $258 last week. He was paid a $30 bonus and $12 for each hour he worked. What is h, the number of hours Eric worked last week?

This option aligns with the equation, as it indicates that the total paid is made up of a bonus and hourly wages, accurately capturing the structure of \(12h + 30 = 258\).

Correctly select the order of the steps to solve this equation.

1/3(6x−9)=−33


(1 point)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Step 1:
Step 2:
Step 3:

::Add to both sides of the equation.
:Subtract from both sides of the equation.
:: Divide by on both sides of the equation.
:: Multiply by on both sides of the equation.
:: Subtract 6 from both sides of the equation.
:: Add 9 to both sides of the equation.
:: Subtract 9 from both sides of the equation.
:: Divide by 6 on both sides of the equation.
:: Multiply by 6 on both side of the equation.

To solve the equation \( \frac{1}{3}(6x - 9) = -33 \), we can follow these steps in the correct order:

Step 1:

Multiply by 3 on both sides of the equation.
Multiplying by 3 will eliminate the fraction. \[ (3) \left( \frac{1}{3}(6x - 9) \right) = (3)(-33) \] This simplifies to: \[ 6x - 9 = -99 \]

Step 2:

Add 9 to both sides of the equation.
Adding 9 will isolate the term with \(x\). \[ 6x - 9 + 9 = -99 + 9 \] This simplifies to: \[ 6x = -90 \]

Step 3:

Divide by 6 on both sides of the equation.
This will solve for \(x\). \[ \frac{6x}{6} = \frac{-90}{6} \] This simplifies to: \[ x = -15 \]

Final Order of Steps:

So the correct order of steps is:

  • Step 1: Multiply by 3 on both sides of the equation.
  • Step 2: Add 9 to both sides of the equation.
  • Step 3: Divide by 6 on both sides of the equation.