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2 years ago

Mo-Qui has studied Spanish for half an hour longer than he studied History.

1 answer:

7 0

So,

Let s represent the time Mo-Qui spent studying Spanish and h represent the time Mo-Qui spent studying History.

s = h + 30
s > 2 hrs. 15 mins. (he isn't done yet)

Substitute
2 hrs. 15 mins. = h + 30 mins.

Subtract 30 mins. from both sides
1 hr. 45 mins. = h

However, s > 2 hrs. 15 mins., so h must be more than 1 hr. and 45 mins.

h > 1 hr. 45 mins.

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which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21 ? Select each correct answer. (−1, −6) (−3, 3) (11

Valentin [98]

Answer:

see explanation

Step-by-step explanation:

To determine which ordered pairs are solutions to the equation

Substitute the x and y values into the left side of the equation and if equal to the right side then they are a solution.

(- 1, - 6)

3(- 1) - 4(- 6) = - 3 + 24 = 21 = right side ← thus a solution

(- 3, 3)

3(- 3) - 4(3) = - 9 - 12 = - 21 ≠ 21 ← not a solution

(11, 3)

3(11) - 4(3) = 33 - 12 = 21 = right side ← thus a solution

(7, 0)

3(7) - 4(0) = 21 - 0 = 21 = right side ← thus a solution

The ordered pairs (- 1, - 6), (11, 3), (7, 0) are solutions to the equation

3 0

3 years ago

Read 2 more answers

The average time an individual reads online national news reports is 49 minutes. Assume the standard deviation is 16 minutes and

Olin [163]

Answer:

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 49 minutes

Standard Deviation, σ = 16 minutes

We are given that the distribution of time an individual reads is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(no more than 30 minutes)

$P( x \leq 610) = P( z \leq \displaystyle\frac{30 - 49}{16}) = P(z \leq -1.1875)$

Calculation the value from standard normal z table, we have,

$P(x \leq 30) = 0.118 = 11.8\%$

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

3 0

2 years ago

which of the given expressions are equivalent?select all that apply.3z+2z and 5z, {8x-8x}-y and 0,9.1 +4.5a-2.5a and 11.1a,-7y[3

Basile [38]

3z+2z and 5z 9.1+4.5a-2.5a and 11.1a and y-6(3) and y-18

6 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP Us the screenshot below

Dominik [7]

I believe its t>165*F

6 0

2 years ago

How is breaking apart the problem 16x34 like solving four simpler problems?

Inessa [10]

Since we know that 2*2*2*2=16 and 2*17=34, we can write it out as 2*2*2*2*2*17. Since 2*2=4, we can rewrite it as 4*4*2*17=16*2*17=32*17. To get this, we can separate 17 into (10+7) and using the distributive property we get 32(10+7)=32*10+32*7=320+224=544.

The four problems can be written as 16*2*17, then 32*17, then 32*(10+7), then 320+224

3 0

3 years ago