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3 years ago

2/20 : 1/40 as a unit rate

Mathematics

1 answer:

erica [24]3 years ago

6 0

Answer:

4 : 1

Step-by-step explanation:

To convert 2/20 : 1/40 to unit rate, we simplify the left side. So.

2/20 : 1/40 = 1/10 : 1/40

We now multiply both sides by 40.

So, 1/10 : 1/40 = 40 × 1/10 : 40 × 1/40 = 4 : 1

So, our unit rate is 4 : 1

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Simplify this problem. Leave answer in exponents.

sattari [20]

$8^{-2}*a^7=\frac{a^7}{8^2} =\frac{a^7}{64}$

Hope that helps!

8 0

2 years ago

A company is producing a new product. Due to the nature of the product, the time required to produce each unit decreases as wor

balu736 [363]

Answer:

The total time to produce units 1 through 10 = 21.762 hours

The total time to produce units 30 through 40 = 22.187 hours

Step-by-step explanation:

Function for the learning process is T(x) = 2 + 0.6(1/x)

Time required to produce 1st unit = 2.6

Time required to produce 2nd unit = 2.3

Time required to produce 3rd unit = 2.2

Time required to produce 4th unit = 2.15

Time required to produce 5th unit = 2.12

Time required to produce 6th unit = 2.1

Time required to produce 7th unit = 2.09

Time required to produce 8th unit = 2.075

Time required to produce 9th unit = 2. 067

Time required to produce 10th unit = 2. 06

The total time required for a new worker to produce units 1 through 10 is the sum of the above times. The total time to produce units 1 through 10 = 21.762

Function for the learning process is T(x) = 2 + 0.6(1/x)

Time required to produce 30th unit = 2.02

Time required to produce 31st unit = 2.019

Time required to produce 32nd unit = 2.0188

Time required to produce 33rd unit = 2.018

Time required to produce 34th unit = 2.0176

Time required to produce 35th unit = 2.017

Time required to produce 36th unit = 2.0167

Time required to produce 37th unit = 2.016

Time required to produce 38th unit = 2.0158

Time required to produce 39th unit = 2. 0154

Time required to produce 40th unit = 2. 015

The total time required for a new worker to produce units 30 through 40 is the sum of the above times. The total time to produce units 30 through 40 = 22.187

7 0

2 years ago

21 22 23 24 25 TIME REMAINING 01:40:27 A hat contains slips of paper with the names of the 26 other students in Eduardo’s class

Pani-rosa [81]

There are 26 - 10 = 16 girls. The number of ways to choose 2 girls from a set of 16 is C(16, 2) = 120. (Your class might be using a different notation for combinations, like $_{16}C_2$ .)

The number of ways to choose 2 people (boys or girls) from a set of 26 is C(26, 2) = 325.

The probability of choosing 2 girls is $\frac{120}{325} = \frac{24}{65}$

Example: how to compute C(16,2):

$C(n, r) = \frac{n!}{r!(n-r)!} \\ C(16, 2) = \frac{16!}{2!(16-2)!} \\ =\frac{16!}{2! \times 14!} \\ =\frac{16\times 15}{2\times 1} \\ =120$

7 0

3 years ago

Fill in the blanks. If the triangles cannot be shown to be congruent from the information given, leave the triangle's name blank

Anika [276]

Answer:

triangle SAT is congruent to triangle SAO, because of SAS congruence criterion

given angle AST = angle ASO

ST = SO

SA = SA (common side)

therefore using the two sides and the angle included, triangle SAT congruent to triangle SAO.

5 0

3 years ago

The sum of two integers is - 5. The product of the same two integers is - 36. What are the two integers?

Effectus [21]

Hey there!!

Given :

Sum of two integers = -5 and the product is -36.

Hence,

... x + y = -5

... xy = -36

x + y = -5

... y = -x - 5

xy = -36

...x ( -x - 5 ) = -36

... -x² - 5x = -36

... x² + 5x - 36 = 0

This can't be factored so solve using quadratic equation

x = [-b ±√(b2-4ac)]/2a a=1, b=5, c = -36

x = [-5±√(52-4(-36))]/2

x = [-5 ±√169]/2

x = (-5 ± 13)/2

x = (-5+13)/2= 8/2 = 4 OR

x = (-5-13)/2 = -18/2 = -9

x = 4, -9

Note here that since x+y=-5

For x=4, y=-9

for x = -9, y = 4

The two numbers are 4, -9

Hope my answer helps!!

4 0

2 years ago