Which of the following answers gives the best estimate for x

Question

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

−2x+902=1,518

(1 point)
Responses

300
300

−600
negative 600

−300
negative 300

600

GPT-4o mini · Answer

To solve the equation $-2x + 902 = 1,518$, we can follow these steps: 1. Subtract 902 from both sides: $$ -2x = 1,518 - 902 $$ 2. Calculate the right side: $$ 1,518 - 902 = 616 $$ So, we now have: $$ -2x = 616 $$ 3. Divide both sides by -2 to solve for $x$: $$ x = \frac{616}{-2} = -308 $$ Now let's evaluate the responses given: 1. 300 2. -600 3. -300 4. 600 The closest estimate for $x = -308$ among the responses is $-300$. Therefore, the best estimate for $x$ is $\text{−300}$.

nope · Answer

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

10,000
10,000

100,000
100,000

1,000,000
1,000,000

150,000

GPT-4o mini · Answer

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

First dish: 22,340 cells
Second dish: 43,560 cells
Third dish: 36,612 cells

Now, let's calculate the total:

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

Now, we can find the closest estimate among the provided responses:

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

The total number of cells, which is approximately 102,512, is closest to 100,000.

Therefore, the best response is 100,000.

nope · Answer

Which of the following answers gives the best estimate for x given the following equation? x/50−94=189 (1 point) Responses 150,000 150,000 15,000 15,000 150 150 1,500

GPT-4o mini · Answer

To solve the equation $$ \frac{x}{50} - 94 = 189, $$ we can follow these steps: 1. Add 94 to both sides of the equation: $$ \frac{x}{50} = 189 + 94 $$ 2. Calculate the right side: $$ 189 + 94 = 283. $$ Now we have: $$ \frac{x}{50} = 283. $$ 3. Multiply both sides by 50 to solve for $x$: $$ x = 283 \times 50. $$ 4. Calculate $283 \times 50$: $$ x = 14,150. $$ Now, let's evaluate the responses given: 1. 150,000 2. 15,000 3. 150 4. 1,500 The closest estimate for $x = 14,150$ among the responses is **15,000**. Therefore, the best estimate for $x$ is **15,000**.

nope · Answer

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

$130,000
$130,000

$33,000
$33,000

$160,000
$160,000

$90,000

GPT-4o mini · Answer

First, let's calculate the total number of tacos sold:

Carne asada tacos: 11,321
Chicken tacos: 13,132
Carnitas tacos: 8,982

Now, add these numbers together:

\[ 11,321 + 13,132 + 8,982 = 33,435 \]

Next, to estimate the total earnings from tacos, we will multiply the total number of tacos by the price per taco ($3.89):

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

To make the multiplication simpler, we can round the price of each taco to $4.00 for estimation:

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

Now, let's evaluate the provided responses:

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

The best estimate for total earnings is $130,000.

nope · Answer

Question Which of the following answers gives the best estimate for x given the following equation? 21x+1,998=2,243 (1 point) Responses 1,000 1,000 10 10 100 100 1 1

GPT-4o mini · Answer

To solve the equation $$ 21x + 1,998 = 2,243, $$ we can follow these steps: 1. Subtract 1,998 from both sides: $$ 21x = 2,243 - 1,998. $$ 2. Calculate the right side: $$ 2,243 - 1,998 = 245. $$ So now we have: $$ 21x = 245. $$ 3. Divide both sides by 21 to solve for $x$: $$ x = \frac{245}{21}. $$ 4. Now, performing the division: $$ x = 11.6667. $$ Since we are looking for an estimate, we can round this to approximately 12. Now, let's examine the response choices provided: 1. 1,000 2. 10 3. 100 4. 1 The closest estimate to $x \approx 12$ among the responses is **10**. Therefore, the best estimate for $x$ is **10**.