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Lerok [7]
3 years ago
5

4 2/3 miles in 3/4 hour 4/23 divided by 3/4 ? NEED FAST ANSWERS !

Mathematics
1 answer:
scZoUnD [109]3 years ago
5 0

Answer:

= 12 miles per hour

Step-by-step explanation:

This is a fraction equal to

30 miles ÷ 2.5 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

30 miles ÷ 2.5

2.5 hours ÷ 2.5

=  

12 miles

1 hour

=  

12 miles

hour

= 12 miles per hour

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Luna into a rifle for a new pair of running shoes. She purchased 20 tickets and she told that she had 20% chance of winning. How
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Answer:

4 tickets were sold

Step-by-step explanation:if you have 100 of anything. 5 sets of 20=100


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What is 57,910,000 in scientific notation
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5 0
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Catherine studied for 45 minutes for her science test. This was 20 minutes less than she studied for her algebra test. Write and
Dvinal [7]

Answer:

65min.

Step-by-step explanation:

45min. is 20min. less than _______

45 = x - 20

x = 45 + 20

x = 65

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3 years ago
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Which value of x satisfies both -9x+4y=8 and -3x-y=4 given the same value of y?
Deffense [45]

The value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y is  -\frac{8}{7}

Step-by-step explanation:

The system of equations has two equations:

  • -9x + 4y = 8
  • -3x - y = 4

Let us solve the system of equations to find the value of x and substitute it in the two equations to check if it gives the same value of y in the two equations

∵ -9x + 4y = 8 ⇒ (1)

∵ -3x - y = 4 ⇒ (2)

- Multiply equation (2) by 4 to make the coefficients of y in the

  two equations have same value and different signs

∴ -12x - 4y = 16 ⇒ (3)

- Add equations (1) and (3) to eliminate y

∴ -21x = 24

- Divide both sides by -21

∴ x = -\frac{8}{7}

Let us substitute this value of x in equations (1) and (2) to find y

∵ -9( -\frac{8}{7} ) + 4y = 8

∴ \frac{72}{7} + 4y = 8

- Subtract  \frac{72}{7}  from both sides

∴ 4y = -\frac{16}{7}

- Divide both sides by 4

∴ y = -\frac{4}{7}

∵ -3( -\frac{8}{7} ) - y = 4

∴ \frac{24}{7} - y = 4

- Subtract   \frac{24}{7}  from both sides

∴ - y = \frac{4}{7}

- Divide both sides by -1

∴ y = -\frac{4}{7}

The value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y is  -\frac{8}{7}

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

5 0
3 years ago
Now suppose that bigger cups are ordered and the machine’s mean amount dispensed is set at μ=12. Assuming we can precisely adjus
Elina [12.6K]

Answer:

σ should be adjusted at 0.5.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean 12.

Assuming we can precisely adjust σ, what should we set σtobe so that the actual amount dispensed is between 11 and 13 ounces, 95% of the time?

13 should be 2 standard deviations above the mean of 12, and 11 should be two standard deviations below the mean.

So 1 should be worth two standard deviations. Then

2\sigma = 1

\sigma = \frac{1}{2}

\sigma = 0.5

σ should be adjusted at 0.5.

4 0
2 years ago
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