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

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

600
600

−300

GPT-4o mini · Answer

To solve the equation $-2x + 902 = 1,518$, we first need to isolate $x$. 1. Start by subtracting 902 from both sides: $$ -2x = 1,518 - 902 $$ $$ -2x = 616 $$ 2. Now, divide both sides by -2 to solve for $x$: $$ x = \frac{616}{-2} $$ $$ x = -308 $$ Given the options, the best estimate for $x$ from the provided answers is: -300 So the correct response is **−300**.

🧋 is life · 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

150,000
150,000

100,000
100,000

1,000,000
1,000,000

10,000

GPT-4o mini · Answer

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

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

Adding these together:

\[ 22,340 + 43,560 + 36,612 \]

Calculating step-by-step:

$22,340 + 43,560 = 65,900$
$65,900 + 36,612 = 102,512$

So, the total number of cells is approximately $102,512$.

Among the provided options, the closest estimate is 100,000.

🧋 is life · Answer

Which of the following answers gives the best estimate for x given the following equation? x50−94=189 (1 point) Responses 1,500 1,500 150,000 150,000 150 150 15,000

GPT-4o mini · Answer

To solve the equation $ x50 - 94 = 189 $, we first simplify and isolate $ x $. 1. Add 94 to both sides of the equation: $$ x50 = 189 + 94 $$ $$ x50 = 283 $$ 2. Now, divide both sides by 50 to solve for $ x $: $$ x = \frac{283}{50} $$ $$ x \approx 5.66 $$ Since we are looking for the best estimate for $ x $, none of the given answers (1,500; 150,000; 150; 15,000) match the calculated result of approximately 5.66 closely. However, if we consider only reasonable scales, **150** might be the best estimate. Therefore, the best estimate for $ x $ from the provided options is **150**.

🧋 is life · Answer

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

GPT-4o mini · Answer

To solve the equation $$ \frac{x}{50} - 94 = 189, $$ we will 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 isolate $x$: $$ x = 283 \times 50 $$ $$ x = 14150 $$ Now, we approximate the value of $x$. The result $14150$ is closest to **15,000**. So the best estimate for $x$ from the provided options is **15,000**.

🧋 is life · 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

$90,000
$90,000

$160,000
$160,000

$33,000

GPT-4o mini · Answer

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

Step 1: Calculate the total number of tacos sold

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

Total tacos sold: \[ Total = 11,321 + 13,132 + 8,982 \]

Calculating this: \[ Total = 11,321 + 13,132 = 24,453 \] \[ Total = 24,453 + 8,982 = 33,435 \]

Step 2: Calculate the total earnings

Now, multiply the total number of tacos by the price per taco, which is $3.89: \[ Total\ Earnings = 33,435 \times 3.89 \]

To estimate, we can round $3.89 to approximately $4 for simplicity: \[ Total\ Earnings \approx 33,435 \times 4 = 133,740 \]

Conclusion

The calculated estimate is approximately $133,740, which is closest to $130,000 among the provided options.

Therefore, the best estimate for their total earnings from tacos is $130,000.

🧋 is life · Answer

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

GPT-4o mini · Answer

To solve the equation $$ 21x + 1,998 = 2,243, $$ we will isolate $x$: 1. **Subtract 1,998 from both sides**: $$ 21x = 2,243 - 1,998 $$ $$ 21x = 245 $$ 2. **Divide both sides by 21** to solve for $x$: $$ x = \frac{245}{21} $$ Now, calculating $ \frac{245}{21} $: - Dividing gives us: - $21$ goes into $245$ $11.666...$ times. We can estimate: $$ x \approx 11.67 $$ To find the best estimate, among the provided options (10, 1, 100, or 1,000), the closest estimate is **10**. Thus, the best estimate for $x$ is **10**.