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Juli2301 [7.4K]
3 years ago
12

Answer the questions below in your own handwriting. Typed responses will not be accepted. When you are finished, scan/save this

assignment to your computer and upload it to the correct drop box by the due date for full credit. 1. In the Ratey the Cat animation, there is a guy who earns $10 PER lawn. Complete the table below that represents money earned PER lawn. Lawns Mowed Money Earned 1 2 3 5 o Tema CP URO​
Mathematics
1 answer:
Dmitry [639]3 years ago
5 0

Answer:

Lawns ---Earnings

1 ----------------- 10

2 ----------------- 20

3 ----------------- 30

5 ----------------- 50

Step-by-step explanation:

Given

Earnings = $10 per lawn

Required

Complete the table

Let y be the earnings for x number of lawns

Since he earns $10 per x lawns, then the expression is:

y = 10x

To complete the table, we have the following:

When x = 1

y = 10 * 1 = 10

When x = 2

y = 10 * 2 = 20

When x = 3

y = 10 * 3 = 30

When x = 5

y = 10 * 5 = 50

So, the complete table is:

Lawns ---Earnings

1 ----------------- 10

2 ----------------- 20

3 ----------------- 30

5 ----------------- 50

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If two lines are parallel which statement must be true? A.Their slopes are zero. B.Their slopes are negative reciprocals. C. The
stepan [7]

Answer:

D

Step-by-step explanation:

Parallel lines have the same gradient.

A line with a slope of zero is a horizontal line. Although two lines that have a slope of zero will result in two parallel lines, not all parallel lines are horizontal lines. Since the question is asking for which statement <u>must</u> be true, option A is incorrect.

If the slopes of two lines are negative reciprocals, they are perpendicular to each other. This is because the product of the gradients of 2 perpendicular lines is -1. Let the gradient of the first line be A and the other be B.

AB= -1

A =   - \frac{ 1}{B}

B =  -  \frac{1}{A}

Thus, option B is incorrect too.

Undefined slopes gives vertical lines. Like option A, if two lines have an undefined slope, they will be parallel to each other. However since parallel lines are nit necessarily vertical lines, option C is also incorrect.

4 0
2 years ago
Read 2 more answers
You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(1 on green die an
navik [9.2K]

Answer:

1) yes ; 2) 1/36 ; 3) 1/36 ; 4) 1/18

Step-by-step explanation:

Given the following :

Two fair dice : 1 green ; 1 red

A) Are the outcomes on the dice independent:

Yes, becomes the outcome of the green dice does not have any effect on the outcome of the red dice.

B) Find P(1 on green die and 5 on red die).

Probability = (number of required outcome) / (total possible outcomes)

Total outcomes of a dice = 6

P(1 on green) = 1 / 6

P(5 on red) = 1/6

P(1 on green die and 5 on red die) :

(1/ 6) × (1/6) = 1/36

C) Find P(5 on green die and 1 on red die)

P(5 on green) = 1/6

P(1 on red) = 1/6

Find P(5 on green die and 1 on red die):

1/6 × 1/6 = 1/36

D) Find P((1 on green die and 5 on red die) or (5 on green die and 1 on red die))

P(5 on green die and 1 on red die) = 1/36

P(1 on green die and 5 on red die) = 1/36

P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) =

P(5 on green die and 1 on red die) + P(1 on green die and 5 on red die)

= (1/36 + 1/36) = 2 /36 = 1/18

8 0
3 years ago
Convert 213base four to base5​
kakasveta [241]

Answer:

213 in base 4 = 124 in base 5

Step-by-step explanation:

First we convert base 4 to base 10

213 in base 4

2*42 + 1*41 + 3*40

32 + 4 + 3

39 in base 10

Now we convert base 10 to base 5

39/5  

7/5  r = 4

1 r = 2

124 in base 5

Hence 213 in base 4 = 124 in base 5

4 0
3 years ago
F is between E and G. Find FG if EG = 25, EF= 2x – 6 and FG = 4x + 7
KonstantinChe [14]

Answer:

23+ 37 = 42

the EG is congruent to the FA and therefore have to dividee the value to get 302

5 0
3 years ago
Please help<br><br> 23 - 7 3/5
kompoz [17]

Answer:15 2/5

Step-by-step explanation:

23 - 7 = 16

16 - 3/5 → 15 5/5 - 3/5 = 15 2/5

6 0
3 years ago
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