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Paha777 [63]
2 years ago
13

The lines shown below are parallel. If the green line has a slope of -3/7, what is

Mathematics
1 answer:
BartSMP [9]2 years ago
7 0

Answer: the slope of green line = -\frac37

Step-by-step explanation:

We know that,

If two lines are parallel then their slopes(rate of change of y with respect to x) are equal.

Given: The red line and the green line are parallel.

The slope of red line = -\frac37

Then, the slope of green line = -\frac37  [Slopes of two parallel lines are equal]

Hence, the slope of green line = -\frac37

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Don’t remember how to do this , ?
andriy [413]

28. The ratio of games they won to total games played = 12: 14 = 6: 7.

29. Max's pay rate is 9.50 dollars per hour.

30. The value of n is 9.

Step-by-step explanation:

Step 1; Heather's team won 12 games out of 14. To find the ratio of games won to the total number of games we divide the number of games won to the number of games played.

The ratio of games won to games played = 12: 14, dividing both sides by 2 we simplify the ratio. So the simplified ratio is 6: 7.

Step 2; Max earns $380 for working 40 hours. So to find how much he earns an hour we divide the total money earned in n hours divided by n number of hours.

Money earned per hour = \frac{380}{40} = $9.50. So Max's pay rate per hour is $9.50.

Step 3; The given proportion is

\frac{n}{12} = \frac{18}{24}, to solve this we keep n on the left-hand side while we multiply the 12 on to the other side

n = \frac{18}{24} × 12 = \frac{3}{4} × 12 = \frac{36}{4} = 9.

7 0
3 years ago
In a recent survey, 78% of students at Lincoln Middle School said they plan to attend a camp this summer. Write this percent as
prohojiy [21]

Answer:

<em>0.78</em>

Step-by-step explanation:

From the question, we are to represent 78% as a decimal

78%  = 78/100

78/100 = 78 * 1/100

78/100 = 78 * 0.01

78/100 = 0.78

<em>hence the percent written as a decimal is 0.78</em>

3 0
2 years ago
Please answer fast<br><br> Thank you!
ziro4ka [17]

Answer:

see explanation

Step-by-step explanation:

the perimeter (P) is the sum of the 4 sides

(a)

P = a + b + c + d

  = x + 7 + 2x + 2 + 8x + x + 10 ← collect like terms

 = 12x + 19

(b)

If x = 4 , then

P = 12x + 19 = 12(4) + 19 = 48 + 19 = 67

(c)

If x = 2 , then

P = 12x + 19 = 12(2) + 19 = 24 + 19 = 43

(d)

P = a + b + c + d

   = x² + 4x + 8 + 2x² + x ← collect like terms

   = 3x² + 5x + 8

 

3 0
11 months ago
Beth does not charge a registration fee for her dog-walking service, but she charges $5 per mile that each dog is walked. Tonya’
GuDViN [60]

Answer: 10 miles.

Step-by-step explanation:

Let m the number of miles that each dog is walked.

It is given that Beth does not charge a registration fee for her dog-walking service, but she charges $5 per mile that each dog is walked.

Amount charged by Beth = 5m

Tonya’s dog-walking service charges a registration fee of $20, plus $3 per mile that each dog is walked.

Amount charged by Tonya = 20+3m

We need to find the number of miles m for which Tonya and Beth would charge the same amount.

5m=20+3m

5m-3m=20

2m=20

Divide both sides by 2.

m=10

Therefore, for 10 miles Tonya and Beth would charge the same amount.

4 0
3 years ago
ANSWER A B AND C HURRY EACH ONE
Illusion [34]
(A) 32.12 = 8.8 x t 

(B) If you round the numbers to 32 and 8 you can see that 8 x 4 = 42 are 4 is positive. 

(C) 32.12 / 8.8 = 3.65
6 0
2 years ago
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