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kari74 [83]
3 years ago
5

5p + 6 = -4p - 8 Solve for p

Mathematics
1 answer:
Fofino [41]3 years ago
7 0
9p=-14

p=-14/9 is the answer to the problem

5p+4p+6= -8
9p= -8-6
9p=-14
p= -14/9
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Simplify 5+6(7-3)45•9
Olin [163]

Answer:

9725

Step-by-step explanation:

5+6(4)*45*9

5+6(4)*405

5+24*405

9725

5 0
3 years ago
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/m
Mnenie [13.5K]

Answer:

The base is reducing at a rate of 3.4cm per min.

Step-by-step explanation:

Let The Height of the Triangle, h

Area of the triangle = A

Area of a Triangle, A= \frac{1}{2}bh

When A=190 cm^2, h=10cm

190= \frac{1}{2}*b*10\\b=38cm

\frac{dA}{dt}=\frac{1}{2}h\frac{db}{dt}+ \frac{1}{2}b\frac{dh}{dt}\\\frac{dh}{dt}=1 cm/min, \frac{dA}{dt}=2cm^2/min,

2=\frac{1}{2}*10*\frac{db}{dt}+ \frac{1}{2}*38*1\\2=5\frac{db}{dt}+19\\2-19=5\frac{db}{dt}\\-17=5\frac{db}{dt}\\\frac{db}{dt}=-\frac{17}{5} =-3.4 cm/min

The base is reducing at a rate of 3.4cm per min.

8 0
3 years ago
In place value the Relationship between 2,000 and 20 is how many times
Katen [24]

Answer:

100

Step-by-step explanation:

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6 0
3 years ago
A country's population in 1995 was 164 million. in 2001 it was 169 million. estimate the population in 2015 using the exponentia
Vaselesa [24]
1995.          164 million
2001.          169 million
t = 2001 - 1995 = 6
169 =164 *  p^{6}
 p^{6} = \frac{169}{164}= 1.0304878 \\  p =  \sqrt[6]{1.0304878}
p = 1.00502
t 1 = 2015 - 2001 = 14
f ( t1 ) = 169 * 1.00502^{14}
f (t1) = 169 * 1.0762 = 181.27
Answer: a country´s population in 2015 will be 181 million.
4 0
3 years ago
Lauren keeps records of the distances she travels in a taxi and what she
Scrat [10]

Answer:

m = 2.25

Step-by-step explanation:

In a standard equation of y = mx + b, m is the slope. In this situation, the slope is the price paid per mile.

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁). I will use the points (3, 8.25) & (11, 26.25)

Plug in these values:

(26.25 - 8.25) / (11 - 3)

Simplify the parentheses.

= (18) / (8)

Simplify the fraction.

18/8

= 9/4

This is your slope.

In a dollar value, it is 9/4 of a dollar, or $2.25 per mile.

3 0
3 years ago
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