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Degger [83]
2 years ago
15

12. A girl walks 3/4 of the way home in 18 minutes.

Mathematics
1 answer:
ella [17]2 years ago
5 0
6 More minutes because 18/3 is 6 so 1/4 of the walk is 6 mins, 2/4 is 12 mins, 3/4 is 18 mins, and 4/4 is 24 mins
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Find the distance between points P(9,8) and Q(7,6) to the nearest tenth.
sergey [27]

Answer:

2.8 units

Step-by-step explanation:

Think of this distance as the hypotenuse of a right triangle that has a vertical leg and a horizontal one as well.

Going from P to Q, the change in x is 2 and the change in y is also 2.

Thus, by the Pythagorean Theorem, this desired distance is:

d = √(2^2 + 2^2) = 2√2 units, or 2.8 units

6 0
3 years ago
17. Which of the following equations would graph a line parallel to 3y = x + 5? (
Naddik [55]

The equation 3y = x + 1 would graph a line parallel to 3y = x + 5 ⇒ 1st

Step-by-step explanation:

Parallel lines have same slopes and different y-intercepts

To find which equation would graph a line parallel to 3y = x + 5

1. Put the equation in the form of y = mx + c

2. m is the slope of the line and c is the y-intercept

3. Look for the equation which has the same values of m and different

   values of c

∵ 3y = x + 5

- Divide each term of the equation by 3 to put the equation in the

 form of y = mx + c

∴ y = \frac{1}{3} x + \frac{5}{3}

∴ m = \frac{1}{3}

∴ c = \frac{5}{3}

The first answer:

∵ 3y = x + 1

- Divide each term of the equation by 3

∴ y = \frac{1}{3} x + \frac{1}{3}

∴ m = \frac{1}{3}

∴ c = \frac{1}{3}

∵ The two equations have same slope m = \frac{1}{3}

∵ The two equations have different y-intercepts c = \frac{5}{3}

   and c = \frac{1}{3}

∴ 3y = x + 5 and 3y = x + 1 represent two parallel lines

The equation 3y = x + 1 would graph a line parallel to 3y = x + 5

Learn more:

You can learn more about slope of a line in brainly.com/question/12954015

#LearnwithBrainly

8 0
3 years ago
How can you tell when a pattern shows counting on by tens?
velikii [3]
<span><u><em>Answer:</em></u>
The difference between successive terms is 10

<u><em>Explanation:</em></u>
To know the factor by which a certain pattern is increasing/decreasing, you need to subtract its successive terms.

If the subtraction gives you 10, this means that the pattern is increasing by 10

<u>Examples:</u>
<u>10, 20, 30, 40, 50, .....</u>
20 - 10 = 10
30 - 20 = 10
40 - 30 = 10
50 - 40 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, this pattern is increasing by 10

<u>37, 47, 57 , .....</u>
47 - 37 = 10
57 - 47 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, the pattern is increasing by 10

Hope this helps :)</span>
7 0
3 years ago
(x+6)(x-2)(x-1)=60 write a polynomial
enot [183]
For this case what you should do is:
 1) Multiplication of terms within parentheses correctly.
 2) Rewrite the expression respecting power properties.
 3) Add or subtract terms of equal power.
 Note: See attached image.
 Answer: 
 x ^ 3 + 3x ^ 2 -16x - 48 = 0

8 0
3 years ago
Ken started a savings account for school. He plans on spending 10% of the money he earns for leisure activities. He needs to hav
KiRa [710]

Answer:

He must earn $2,400 to cover both leisure and $2,160 for school expenses.

Step-by-step explanation:

Let the total amount Ken must earn be k.  Then 10% of that would cover leisure activities and the remaining 90% specifically for school expenses.

Then 0.90k = $2,160, and k = $2,400.

He must earn $2,400 to cover both leisure and $2,160 for school expenses.

7 0
3 years ago
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