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1 year ago

4. Use the substitution method to determine the solution to this system of equations.

Mathematics

1 answer:

N76 [4]1 year ago

3 0

Answer:

No solution

Step-by-step explanation:

6X - 3Y = -9--------------(1)

- 2 X +Y= 5---------------(2)

from equation two,

Y = 5+2X------------------(3)

substitute equation (3) into equation (1)

6X-3(5+2X)= -9

opening bracket

6X-15-6X= -9

6X- 6X = -9+15

0 = 6

<h2>therefore the answer is no solution</h2>

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How do you write 39/50 as a percentage?

Allushta [10]

We can convert the fraction to a denominator of 100, since percents are parts of 100.

39 * 2 = 78
50 * 2 = 100

So we have 78/100 or 78%

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g On any day, the probability of rain is 0.3. The occurrence of rain on any day is independent of the occurrence of rain on any

Ksju [112]

Answer:

0.249579

Step-by-step explanation:

P(rain) = 0.3

P(no rain) = 1 - 0.3 = 0.7

The event of rain falling a second time within the next 5 days is possible in these ways

1. Rain on days 1 and 2

2. Rain on days 1 and 3; none on day 2

3. Rain on days 1 and 4; none on days 2 and 3

4. Rain on days 1 and 5; none on days 2, 3 and 4

5. Rain on days 1 and 6; none on day 2, 3, 4 and 5

$P(\text{second rain within 5 days}) = 0.3^2+0.3^2\times0.7+0.3^2\times0.7^2+0.3^2\times0.7^3+0.3^2\times0.7^4 = 0.3^2(1+0.7+0.7^2+0.7^3+0.7^4)= 0.09\times2.7731=0.249579$

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3 years ago

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

$\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{6}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{2\cdot 6}{1}$

$\text{Average rate of change}=12$

Therefore, Spot's average rate of ascent is 12 feet per second.

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3 years ago

Decrease <br>133 in the ratio 7:2

love history [14]

Answer:

Step-by-step explanation

2/7× 133=38

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2 years ago

Please write answers to the questions that are in the image.

marishachu [46]

Answer:

To find part A you need to find common denominator.

1/3 + 3/5=

5/15 + 9/15= 14/15

His mistake for a is that he didn't find the common denominator and that he just added the fraction as it is. So the corrected version would be 14/15.

To find part B you also need to find the least common denominator.

11/12-5/6=

11/12-10/12=1/12

His mistake was that he didn't find the least common denominator and he subtracted the fraction as it is. The answer corrected would be 1/12.

Step-by-step explanation:

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3 years ago

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