Which of the following answers gives the best estimate for x

Question

given the following equation?
.
−2x+902=1,518


(1 point)
Responses

−300
negative 300

300
300

600
600

−600

Answer 1

To solve the equation \(-2x + 902 = 1,518\), we can follow these steps:

1. Isolate the term with \(x\) by subtracting 902 from both sides of the equation:

   \[-2x = 1,518 - 902\]

   \[-2x = 616\]

2. Now, divide both sides by -2 to solve for \(x\):

   \[x = \frac{616}{-2}\]

   \[x = -308\]

Among the provided options, the best estimate for \(x\) would be \(-300\).

So the correct answer is:

−300

Answer 2

There are three petri dishes in a laboratory. The first one contains 22,340 cells, the second contains 43,560 cells, and the last dish contains 36,612 cells. Approximately how many cells are there in total?(1 point)
Responses

1,000,000
1,000,000

10,000
10,000

100,000
100,000

150,000
150,000

Answer 3

To find the approximate total number of cells in the three petri dishes, we can add the number of cells in each dish:

1. First dish: 22,340 cells
2. Second dish: 43,560 cells
3. Third dish: 36,612 cells

Now let's add them together:

\[ 22,340 + 43,560 + 36,612 = 102,512 \]

Now, we can approximate this total. Looking at the options given:

• 1,000,000
• 10,000
• 100,000
• 150,000

The closest approximation to 102,512 is 100,000.

So the correct answer is:

100,000

Answer 4

Which of the following answers gives the best estimate for x
given the following equation?

x/50−94=189


(1 point)
Responses

15,000
15,000

150,000
150,000

1,500
1,500

150
150
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Answer 5

To solve the equation

\[ \frac{x}{50} - 94 = 189, \]

we can follow these steps:

1. Add 94 to both sides:

\[ \frac{x}{50} = 189 + 94 \]

\[ \frac{x}{50} = 283. \]

2. Multiply both sides by 50 to solve for \(x\):

\[ x = 283 \times 50. \]

3. Calculate \(x\):

\[ x = 14150. \]

Given the options:

• 15,000
• 150,000
• 1,500
• 150

The best estimate for \(x\) is 15,000.

So the correct answer is:

15,000

Answer 6

A local taqueria sold 11,321 carne asada tacos, 13,132 chicken tacos, and 8,982 carnitas tacos last year. If each taco was sold for $3.89, which value best estimates their total earnings from tacos?(1 point)
Responses

$33,000
$33,000

$160,000
$160,000

$130,000
$130,000

$90,000

Answer 7

To estimate the total earnings from tacos sold, we can first find the total number of tacos sold and then multiply that by the price per taco.

1. Calculate the total number of tacos sold:

   • Carne Asada Tacos: 11,321
   • Chicken Tacos: 13,132
   • Carnitas Tacos: 8,982

   \[ \text{Total Tacos} = 11,321 + 13,132 + 8,982 = 33,435. \]

2. Multiply the total tacos by the price per taco, which is $3.89:

   \[ \text{Total Earnings} = 33,435 \times 3.89. \]

   To estimate, we can round 3.89 to 4 for easier calculation:

   \[ \text{Estimated Earnings} \approx 33,435 \times 4 = 133,740. \]

3. Choose the closest option:

The options provided are:

• $33,000
• $160,000
• $130,000
• $90,000

The best estimate for the total earnings, given the calculation above, is $130,000.

So the correct answer is:

$130,000

Answer 8

Which of the following answers gives the best estimate for x given the following equation?

21x+1,998=2,243


(1 point)
Responses

100
100

1
1

1,000
1,000

10

Answer 9

To solve the equation

\[ 21x + 1,998 = 2,243, \]

we can follow these steps:

1. Subtract 1,998 from both sides:

\[ 21x = 2,243 - 1,998. \]

Calculating that gives:

\[ 21x = 245. \]

2. Divide by 21 to solve for \(x\):

\[ x = \frac{245}{21}. \]

3. Calculate \(x\):

\[ x \approx 11.67. \]

Now, let's evaluate the options provided:

• 100
• 1
• 1,000
• 10

The best estimate for \(x\) is approximately 10.

So the correct answer is:

10.