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Nataly [62]
3 years ago
6

What is the slope of the line with an equation of 5x + 8y = 16? -8/5 -5/8 5/8 8/5

Mathematics
1 answer:
zzz [600]3 years ago
5 0

Answer:

Slope m = -5/8

Step-by-step explanation:

5x + 8y = 16

Making y as subject of formula

8y = -5x + 16

Dividing each term by 8

8y/8 = -5x/8 + 16/8

y = -5x/8 + 2

Comparing with y = mx + c

Where m = slope and c the y intercept

Slope m = -5/8

You might be interested in
C an anyone solve this 3(2b + 3)2 = 36<br> and if so what is it
Natali [406]
3(2b + 3)^2 = 36

Divide by 3 on both sides:
(2b + 3)^2 = 12

Square root both sides:
2b + 3=  \pm \sqrt{12}

Take away 3 from both sides:
2b= \pm \sqrt{12} - 3

Divide by 2 on both sides:
b=  \dfrac{ \sqrt{12} -3 }{2}  \ or \ b=  \dfrac{ -\sqrt{12} -3 }{2}

Answer:
b=  0.23 \ or \ -3.23


5 0
3 years ago
Read 2 more answers
Fifty balls are numbered 1 to 50 and red dot is painted on those balls that are a multiple of 8. the balls are mixed into a bag
vaieri [72.5K]
Total number of balls = 50
Balls numbered as multiple of 10 = 5
Balls with red dot on them = 6
Balls numbered as multiple of 10 and having red dot on them = 1 (i.e. Ball with number 40 on it)

Probability of Ball being numbered as multiple of 10 = P(T) = 5/50 = 1/10

Probability of Ball being marked by the dot = P(D) = 6/50 = 3/25

Probability of Ball being numbered as multiple of 10 and having a red dot on it = P (T ∩ D) = 1/50

The "or" ,"union" of two events can be expressed as:

P(T ∪ D) = P(T) + P(D) - P (T ∩ D)

Using the values, we get:

P(T ∪ D) = \frac{1}{10} + \frac{3}{25}- \frac{1}{50}=1/5

Thus, the probability that the ball is numbered with a multiple of 10 or has a red dot is 1/5 or 0.2
8 0
3 years ago
3x-4&gt;11 solve and graph if possible
gavmur [86]

Answer:

3x−4>11

Step 1: Add 4 to both sides.

3x−4+4>11+4  

3x>15

Step 2: Divide both sides by 3.

\frac{3x}{3} > \frac{15}{3}

x>5

4 0
3 years ago
Charles runs a rate of 12 kilometers what is Charles speed in meters per minute
kramer

Answer:

Speed of Charles = 12 Km per hour

To convert it into meters per minute, we follow the following procedure

1 Km =1000 meter

1 hour = 60 minute

Now 12 Km per hour = \frac{12\times 1000}{60}

    = 12,000 ÷ 60

   = 200 meter per minute



8 0
3 years ago
12.......................
Nadusha1986 [10]

Answer:

A rational exponent is an exponent that is a fraction. If the fraction has an even denominator, the root will be of an even number (like the square root, the 4th root, etc.). Think about it when you square something: -2 • -2 = 4, 2 • 2 = 4. No matter the sign, any number multiplied by itself an even number of times will make a positive number. So, you can't take the square root of a negative number because it is impossible to get a negative number when squaring! This applies to ALL even roots/exponents. So, (-1)^½ does not exist! Look: (-1)^½ becomes √(-1) which is an imaginary number!

Step-by-step explanation:

3 0
3 years ago
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