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x/50−94=189

what is x

9 answers

To solve the equation \( \frac{x}{50} - 94 = 189 \), follow these steps:

  1. Add 94 to both sides of the equation:

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

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

  1. Multiply both sides by 50 to isolate \( x \):

\[ x = 283 \cdot 50 \]

\[ x = 14150 \]

So, the value of \( x \) is \( 14150 \).

which of these answers is the best estimate?

It seems like you didn't provide a list of possible answers for the estimation. If you share the options, I'll be happy to help you identify which one is the best estimate for \( x = 14150 \).

150,000
150,000
150
150
1,500
1,500
15,000

To find the best estimate for \( x = 14,150 \) from the provided options, we can analyze each choice:

  • 150,000
  • 150,000
  • 150
  • 150
  • 1,500
  • 1,500
  • 15,000

From the list, the closest estimate to \( 14,150 \) is 15,000. Therefore, the best estimate is 15,000.

Question
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

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

To estimate the total earnings from the taco sales, we first need to calculate the total number of tacos sold and then multiply that by the price of each taco.

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

  2. Estimate the Total Earnings: Now, multiply the total number of tacos by the price of each taco ($3.89): \[ \text{Total Earnings} \approx 33,435 \times 3.89 \]

For estimation, we can round the price of the tacos to \( $4 \): \[ \text{Estimated Earnings} \approx 33,435 \times 4 \] \[ \text{Estimated Earnings} \approx 133,740 \]

Given the answer choices:

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

The best estimate of their total earnings is $130,000.

21x+1,998=2,243

(1 point)
Responses

100
100
1
1
1,000
1,000
10

To solve the equation \( 21x + 1,998 = 2,243 \), follow these steps:

  1. Subtract 1,998 from both sides: \[ 21x = 2,243 - 1,998 \] \[ 21x = 245 \]

  2. Divide both sides by 21 to solve for \( x \): \[ x = \frac{245}{21} \]

  3. Calculate \( \frac{245}{21} \): \[ x = 11.6667 \]

For estimation, we can round this to approximately \( 12 \).

Given the answer choices:

  • \( 100 \)
  • \( 1 \)
  • \( 1,000 \)
  • \( 10 \)

The closest response from the given options is 10.