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3 years ago

What is the solution to the inequality -6( p - 8) < -12?

Mathematics

2 answers:

Setler [38]3 years ago

6 0

Answer:

p>10

Step-by-step explanation:

\left(-6\left(p-8\right)\right)\left(-1\right)>\left(-12\right)\left(-1\right)

6\left(p-8\right)>12

\frac{6\left(p-8\right)}{6}>\frac{12}{6}

p-8>2

p-8+8>2+8

p>10

coldgirl [10]3 years ago

3 0

Answer:

p > 10

Step-by-step explanation:

Given

- 6(p - 8) < - 12

Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity.

p - 8 > 2 ( add 8 to both sides )

p > 10

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Consider the following two loans for P=$12,000.

n200080 [17]

Answer:

Simple interest-?

Step-by-step explanation:

P= 12000

T=5yrs

R=5%

Now,

Simple interest - PTR/100

= 12000*5*5/100

= $3000

Again,

P=12000

T=3yrs

R=8%

Now,

Simple interest - PTR/100

= 12000*3*8/100

= $2880

Hope this helps.

4 0

2 years ago

See the picture below

mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}$

radius is given as 4, so,

Volume of Hemisphere = $\frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04$

Now, Volume of Cone = $\frac{1}{3}\pi r^2 h$

Where radius is 4 and height is 10, so,

Volume of Cone = $\frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55$

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = $2\pi r^2\\=2\pi (4)^2\\=100.53$

Surface Area of Cone = $\pi r^2+\pi rl$

We dont need to use the first part, $\pi r^2$ since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = $\pi rl\\=\pi (4)(10.77)\\=135.34$

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

5 0

2 years ago

Find the equation of a line that is perpendicular to 4y-3x=1 and passes through point (-7,0).

Mnenie [13.5K]

Answer:

-4/3x + -28/3

Step-by-step explanation:

First you rearrange 4y-3x=1

y= 3/4x +1/4

then you reciprocate and change the sign the slope since you are trying to find a line perpendicular to it.

Slope(m) =-4/3

then you use the formula <em>y-y1= m(x-x1)</em>

y-0= -4/3 (x--7)

y= -4/3 +-28/3

7 0

3 years ago

Find the values of a through e that make these two relations inverses of each other. a = b = c = d = e = An image shows 2 tables

Sergio039 [100]

Answer:

a = -3.8

b = -2.6

c = 1.7

d = 4.4

e = 1.0

Step-by-step explanation:

In the figure attached, the tables are shown.

In an inverse relationship, any point (x,y) in one table is transformed to (y,x) in the other one. For example, in Table A coordinate (1, 2) is present, then in Table B (the inverse), coordinate (2, 1) must be present.