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2 years ago

Working simultaneously, four fudge machines complete a big order in 32 hours. All

Mathematics

1 answer:

garik1379 [7]2 years ago

6 0

Answer:

8 Hours

Step-by-step explanation:

32÷4=8

It takes 4 machines to do something in 32 hours. If you had 4 times more machines it would be 4 times faster.

I hope this helps!

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Answer both questions!

vodomira [7]

1) What is the equation for the line?
slope = 16/2 = 8

answer
equation
y = 8x

2) What is the equation of a line with a slope of 3 and a point (3, 1) on the line?

Express the equation in the form of y=mx+b where m is the slope and b is the y-intercept.

y - 1 = 3(x - 3)
y - 1 = 3x - 9
y = 3x - 8

answer
y = 3x - 8

3 0

3 years ago

What is the answer for number 8 and pls give step by step

Pie

Answer:

Trapezoid 1 (left side):

Base 1 = 2

Base 2 = 5

Trapezoid 2 (right side):

Base 1 = 6

Base 2 = 8

Step-by-step explanation:

1st trapezoid:

b_1 = x

b_2 = x + 3

h = 4

Hence, area (from formula) would be:

$A=\frac{h}{2}(b_1+b_2)\\A=\frac{4}{2}(x+x+3)\\A=2(2x+3)\\A=4x+6$

2nd trapezoid:

b_1 = 3x

b_2 = 4x

h = 2

Putting into formula, we get:

$A=\frac{h}{2}(b_1+b_2)\\A=\frac{2}{2}(3x+4x)\\A=1(7x)\\A=7x$

Let's equate both equations for area and find x first:

$4x+6=7x\\6=7x-4x\\6=3x\\x=\frac{6}{3}\\x=2$

We can plug in 2 into x and find length of each base of each trapezoid.

Trapezoid 1 (left side):

Base 1 = x = 2

Base 2 = x + 3 = 2 + 3 = 5

Trapezoid 2 (right side):

Base 1 = 3x = 3(2) = 6

Base 2 = 4x = 4(2) = 8

8 0

3 years ago

The waiting time at an elevator is uniformly distributed between 30 and 200 seconds. what is the probability a rider must wait m

stira [4]

1.5 minutes = 90 second

The probability density function is

$f_X(x)=\begin{cases}\dfrac1{200-30}=\dfrac1{170}&\text{for }30\le x\le200\\\\0&\text{otherwise}\end{cases}$

so the probability of interest is

$\mathbb P(X>90)=\displaystyle\int_{90}^\infty f_X(x)\,\mathrm dx$
$\mathbb P(X>90)=\dfrac1{170}\displaystyle\int_{90}^{200}\mathrm dx$
$\mathbb P(X>90)=\dfrac{200-90}{170}=\dfrac{11}{17}\approx0.6471$

5 0

3 years ago

29 is 6more than k ( write answer and equation)

almond37 [142]

K is 23.
As for the equation, it is
29=k+6
To solve, subtract 6 from both sides.

6 0

3 years ago

Read 2 more answers

Divide. -4 1/3 divided by 2 3/5

Alexus [3.1K]

The answer is: -1.66666666667 to be exact

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3 years ago