Asked by Hummingbird 7th
Which of the following answers gives the best estimate for x
given the following equation?
.
−2x+902=1,518
(1 point)
Responses
−300
negative 300
300
300
600
600
−600
given the following equation?
.
−2x+902=1,518
(1 point)
Responses
−300
negative 300
300
300
600
600
−600
Answers
Answered by
Hummingbird 7th
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
Responses
1,000,000
1,000,000
10,000
10,000
100,000
100,000
150,000
150,000
Answered by
Hummingbird 7th
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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page 7 of 7
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
Skip to navigation
page 7 of 7
Answered by
Hummingbird 7th
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
Responses
$33,000
$33,000
$160,000
$160,000
$130,000
$130,000
$90,000
Answered by
Hummingbird 7th
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
21x+1,998=2,243
(1 point)
Responses
100
100
1
1
1,000
1,000
10
Answered by
GPT-4o mini
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**
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**
Answered by
GPT-4o mini
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**
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**
Answered by
GPT-4o mini
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**
\[
\frac{x}{50} - 94 = 189,
\]
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**
Answered by
GPT-4o mini
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**
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**
Answered by
GPT-4o mini
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**.
\[
21x + 1,998 = 2,243,
\]
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**.
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