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sp2606 [1]
3 years ago
6

4 (b-6)+19 simplify the expression

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0
4b - 6b + 19
Answer : -2b + 19
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A box of cereal states that there are 78 calories in a three fourths ​cup serving. What is the unit rate for calories per​ cup?
ladessa [460]

Answer:

See below.

Step-by-step explanation:

Unit rate = 78 / 3/4

= 78 * 4/3

= 26*4    (because 78 / 3 = 26)

= 104 calories per cup

There are 2 * 104 = 208 calories in 2 cuos of cereal..

4 0
2 years ago
Read 2 more answers
solve the following system of equations. Enter the y-coordinate of the solution. Round your answerto the nearest tenth 5x+2y=7 -
Airida [17]
(12/17, 59/34) is the answer
3 0
3 years ago
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erma4kov [3.2K]
1/4x3/5-1/12x+1/10.
5 0
2 years ago
You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week
aliya0001 [1]

Answer:

q = -6p + 104

Step-by-step explanation:

Linear function:

A linear function has the following format:

q = mp + b

In which m is the slope and b is the q-intercept.

One week you charged $4 per guest and averaged 80 guests per night. The next week you charged $10 per guest and averaged 44 guests per night.

This means that we have these following points: (4,80), (10,44).

Finding the slope:

With a pair of points, the slope is given by the change in q divided by the change in p.

Change in q: 44 - 80 = -36

Change in p: 10 - 4 = 6

Slope: m = \frac{-36}{6} = -6

So

q = -6p + b

Finding b:

We replace one of the points. Replacing (4,80).

q = -6p + b

80 = -6*4 + b

b = 104

So

q = -6p + 104

7 0
3 years ago
Suppose that f(x) is the (continuous) probability density function for heights of American men, in inches, and suppose that f(69
anastassius [24]

Answer:

(a) 7.6%

(b) 46.2%    42.4%

Step-by-step explanation:

(a)According to the definition of Continuous probability distribution

f(x) = \frac{d}{dx}F(x)

f(x) = \frac{F(x + h) - F(x - h)}{(x + h) - (x - h)}

f(69) = \frac{F(69 + 0.2) - F(69 - 0.2)}{0.4}

⇒ 0.19 × 0.4 = F(69.2) - F(68.8)

⇒ F(69.2) - F(68.8) = 0.076

⇒ 7.6%

(b) Given F(69) = 0.5

f(x) = \frac{d}{dx}F(x)

f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}

f(69) = \frac{F(69) - F(69 - 0.2)}{0.2}

⇒ 0.19 × 0.2 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.038 = 0.462

⇒ 46.2%

f(x) = \frac{d}{dx}F(x)

f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}

f(69) = \frac{F(69) - F(69 - 0.4)}{0.4}

⇒ 0.19 × 0.4 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.076 = 0.424

⇒ 42.4%

5 0
3 years ago
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