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Amanda [17]
3 years ago
10

12 more than the product of a number and four is fewer than 60 write it in a algebraic inequality

Mathematics
1 answer:
Damm [24]3 years ago
4 0
12 more than (12+) product of a number and 4 (4 times n or 4n) is fewere than (<) 60 (60)

12+4n<60
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Popcorn kernels pop independently (i.e. unimolecularly). For one brand at constant temperature, 12 kernels pop in 5 seconds when
likoan [24]

Answer:

no of kernels  pop = 4.34

Step-by-step explanation:

given data

kernels pop in 5 second  = 12

kernels are present = 235

solution

we get here kernels are pop at rate of here

kernels are pop at rate = 12  ÷  235  

kernels are pop at rate = 0.051063

and

we get here maximum kernels are remaining that is

maximum kernels remaining = 235 - 140

maximum kernels remaining = 85

so

no of kernels  pop in 5 second will be

no of kernels  pop = 0.051063   × 85

no of kernels  pop = 4.34

7 0
3 years ago
Find the slope-intercept form of the equation of the line passing through the given points.
Ugo [173]
The\ slope-intercept\ form:y=mx+b\\\\The\ slope-point\ form:y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

(1;\ 1)\to x_1=1;\ y_1=1\\\left(3;-\dfrac{1}{5}\right)\to x_2=3;\ y_2=-\dfrac{1}{5}.\\\\Subtitute:\\\\m=\dfrac{-\frac{1}{5}-1}{3-1}=\dfrac{-1\frac{1}{5}}{2}=-\dfrac{\frac{6}{5}}{2}=-\dfrac{\not6^3}{5}\cdot\dfrac{1}{\not2_1}=-\dfrac{3}{5}


y-1=-\dfrac{3}{5}\left(x-1\right)\\\\y-1=-\dfrac{3}{5}x+\dfrac{3}{5}\ \ \ \ |add\ 1\ to\ both\ sides\\\\\boxed{y=-\frac{3}{5}x+1\frac{3}{5}}


5 0
3 years ago
Sabrina is tracking the growth rates of a colony of ants and of a bee hive. From her research, she has developed a function to r
WITCHER [35]
Sabrina should be careful of those ants and bees.
5 0
3 years ago
Divide the number 20 into two parts (not necessarily integers) in a way that makes the product of one part with the square of th
Ilya [14]

Answer:

13 1/3 and  6 2/3.

Step-by-step explanation:

Let the 2 parts be x and (20 - x).

So x^2(20 - x) must be a maximum.

y = x^2(20 - x)

y = 20x^2 - x^3

Finding the derivative):

y' =  40x - 3x^2 = 0   for  maxm/minm value.

x( 40 - 3x) = 0

40 - 3x = 0

3x = 40

x = 40/3.

This is a maximum because the second derivative y" =  40 - 6x = 40 - 6(40/3)) is negative.

So the 2 numbers are 13 1/3 and  6 2/3.

3 0
3 years ago
32 3/4−12 1/2=
makkiz [27]

Ans: 20.25

can convert the mixed numbers fractions to improper fractions before making the denominators the same and coming up with the answer in decimals

hope this helps:))

7 0
3 years ago
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