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Serga [27]
3 years ago
9

If anyone Is nice enough to check my math (don’t judge the horrible handwriting..I don’t usually write like this)..I’d be thankf

ul!

Mathematics
2 answers:
Grace [21]3 years ago
6 0

Answer:

<h2>The result is \frac{27}{2}</h2>

Step-by-step explanation:

We have to resolve:

<h2>[\frac{13}{50} +\frac{(-11)}{70}]:[\frac{(-16)}{35} .\frac{1}{(-60)} ]</h2>

First we are going to analyze by separate:

<h2>[\frac{13}{50} +\frac{(-11)}{70}]</h2>

We have to look for the least common denominator between 50 and 70, which is 350, then we have to rewrite:

<h2>[\frac{13}{50} +\frac{(-11)}{70}]=[\frac{91}{350}+ \frac{(-55)}{350} ]\\\\=[\frac{91-55}{350} ]\\\\=[\frac{36}{350}]</h2>

We can simplify dividing in 2:

<h2> \frac{36}{350} =\frac{18}{175}</h2>

Now we have to look the other part:

<h2>[\frac{(-16)}{35} .\frac{1}{(-60)} ]</h2>

This is a multiplication so we have to cross-simplify:

We can't simplify 35 and 1 but we can simplify (-16) and (-60) in 4:

<h2>[\frac{(-16)}{35} .\frac{1}{(-60)} ]=[\frac{4}{35} .\frac{1}{15} ]\\\\=[\frac{4}{525}]</h2>

Now uniting what we analyzed separately:

<h2>\frac{18}{175}:\frac{4}{525}</h2>

We can simplify, we have a division then we have to simplify numerator with numerator and  denominator with denominator.

We are going to simplify the numerators in 2 and the denominators in 175:

<h2>\frac{18}{175}:\frac{4}{525}=\frac{9}{1} :\frac{2}{3}=\frac{27}{2}</h2><h2>Then the result is \frac{27}{2}</h2>
professor190 [17]3 years ago
4 0
I’ll check it give me a minute I’m mainly writing this so I know to come to this just sec
You might be interested in
Find the values of x and y that maximizes the objective function P=3X+2Y for the graph. what is the maximum value?
diamong [38]
Substitute in the 3 points to find the values. 

<span>P(0,8) = 3(0) + 2(8) = 16 </span>
<span>P(5,4) = 3(5) + 2(4) = 15 + 8 = 23 </span>
<span>P(9,0) = 3(9) + 2(0) = 27 </span>

<span>Therefore (9,0) is the maximum value. </span>
7 0
3 years ago
Answer pls…………………………..
Gnesinka [82]

Answer:

10/27

Step-by-step explanation:

3^x = 10

We want to find 3^(x-3)

Rewriting

We know that a^(b-c) = a^b * a^ (-c)

3^x * (3^-3)

We know that 3^-3 = 1/3^3

3^x * 1/27

10 * 1/27

10/27

6 0
3 years ago
Unfortunately, the road from Fordyce and Sheridan is closed due to dangerous road conditions caused by the recent bad weather. F
Jobisdone [24]

Answer:

a) Malvern - Sheridan - Pine Bluff

b) Camden - Fordyce - Pine Bluff

c) Benton - Malvern - Sharidan - Arkadepia

d) Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden - Fordyce

e) Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden

Step-by-step explanation:

P.S - The exact question is -

Given - According to a map of Arkansas, a number of good roads connect

some of the towns south of Little Rock. The road between

Malvern and Benton is 23 miles long, and between Benton and Pine

Bluff is 62 miles long. The road between Malvern and Sheridan is

28 miles long, and then from Sheridan to Pine Bluff is 22 miles

long. Arkadelphia is connected to two towns: it is 12 miles from

Gurden and 21 miles from Sheridan. Fordyce has three roads to

these towns: 45 miles to Pine Bluff, 39 miles to Sheridan, and 27

miles to Camden. The road from Gurden to Camden is 38 miles.

To find - Unfortunately, the road from Fordyce to Sheridan is closed due to

dangerous road conditions caused by the recent bad weather. Find

the shortest route between each pair of towns:

a) Malvern and Pine Bluff

b) Camden and Pine Bluff

c) Benton and Arkadelphia

d) Fordyce and Malvern

e) Benton and Camden

Proof -

The figure is as follows :

a)

Shortest route between Malvern and Pine Bluff :

Firstly, put all the vertices to  ∞

Start from Malvern ,

Check the shortest distance from the corresponding vertices of Malvern.

Shortest Distance = min { Malvern - Benton, Malvern -Sheridan }

                              = min { 23, 28 } = 23

⇒Shortest distance is 23 ( Malvern -Benton )

Now,

Check shortest distance from Benton and Malvern

Shortest Distance = min { Benton - Pine Bluff, Malvern -Sheridan }

                              = min { 62, 28 } = 28

⇒Shortest distance is 28 ( Malvern -Sheridan )

Now,

Check shortest distance from Benton and Sheridan

Shortest Distance = min { Benton - Pine Bluff, Sheridan - Pine-Bluff}

                              = min { 85, 50 } = 50

⇒Shortest distance is 50 ( Sheridan - Pine-Bluff )

So,

By back tracking , we get

Shortest Route be -

Malvern - Sheridan - Pine Bluff

And the Shortest distance be = 50 miles

b)

Shortest Route between Camden and Pine Bluff

From Camden -

Shortest Distance = min {Camden-Fordyce, Camden-Gurden }

                              = min { 27, 38 } = 27

⇒Shortest Distance = 27 (Camden-Fordyce )

Now,

Check Shortest distance from Camden and Fordyce

Shortest Distance = min { Camden-Gurden, Fordyce-Pine Bluff }

                              = min { 38, 72 } = 38

⇒Shortest Distance = 38 ( Camden-Gurden )

Now,

Check Shortest Distance from Gurden and Fordyce

Shortest Distance = min { Gurden-Arkadepia, Fordyce-Pine Bluff }

                              = min { 50, 72 } = 50

⇒Shortest Distance = 50 ( Gurden-Arkadepia )

Now,

Check Shortest Distance from Arkadepia and Fordyce

Shortest Distance = min { Arkadepia - Sharidan, Fordyce-Pine Bluff }

                              = min { 71, 72 } = 71

⇒Shortest Distance = 71 ( Arkadepia - Sharidan )

Now,

Check Shortest Distance from Sharidan and Fordyce

Shortest Distance = min { Sharidan - Pine Bluff , Fordyce-Pine Bluff }

                              = min { 93, 72 } = 72

⇒Shortest Distance = 72 ( Fordyce-Pine Bluff )

So, By Back tracking , we get

Shortest route be

Camden - Fordyce - Pine Bluff

Shortest Distance be 72 miles

c)

Shortest route between  Benton and Arkadelphia

By applying the same method ,

If we start from Benton and by using Pine bluff lane, distance be 62 + 45 + 27 + 38 + 12 = 184 miles

And

If we start from Benton and by using Malvern lane, distance be 23 + 28 + 21 = 72 miles

So,

Shortest Route be -

Benton - Malvern - Sharidan - Arkadepia

Shortest distance be 72 miles

d)

Shortest route between  Fordyce and Malvern

By applying the same method ,

If we start from Malvern and by using Benton lane, distance be 23 + 62 + 45 = 130 miles

And

If we start from Malvern and by using Sharidan lane, distance be 28 + 21 + 12 + 38 + 27 = 126 miles

So,

Shortest Route be -

Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden - Fordyce

Shortest distance be 126 miles

e)

Shortest route between Benton and Camden

By applying the same method ,

If we start from Benton and by using Pine Bluff lane, distance be 62 + 45 + 27 = 134 miles

And

If we start from Benton and by using Malvern lane, distance be 23 + 28 + 21 + 12 + 38 = 122 miles

So,

Shortest Route be -

Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden

Shortest distance be 122 miles

4 0
2 years ago
You need to make two goods, face masks and gloves (for hospital workers). Each good requires two steps, assembly(x) and sanitiza
slega [8]

Answer:

We would use 12 hours assembly and 6 hours sanitization in a maximization problem

Step-by-step explanation:

Let us make a system of inequalities to solve the problem

Each good requires two steps, assembly(x) and sanitization (y)

∵ Face masks take 2 hours to assemble and 1 hour to sanitize

- Multiply x by 2 and y by 1, then add the products

∴ The face masks take 2x + y hours

∵ You have up to 30 hours to make face masks

∴ 2x + y ≤ 30

∵ Gloves take 1 hour to assemble and 2 hours to sanitize

- Multiply x by 1 and y by 2, then add the products

∴ The gloves take x + 2y hours

∵ You have up to 24 hours to make gloves

∴ x + 2y ≤ 24

Lets solve the system as equations to find the maximum values of x and y

∵ 2x + y = 30 ⇒ (1)

∵ x + 2y = 24 ⇒ (2)

- Multiply (2) by -2

∴ -2x - 4y = -48 ⇒ (3)

- Add (1) and (3)

∴ -3y = -18

- Divide both sides by -3

∴ y = 6

- Substitute the value of y in equation (2) to find x

∵ x + 2(6) = 24

∴ x + 12 = 24

- Subtract 12 from both sides

∴ x = 12

Look to the attached graph of the two inequalities to check the maximum values of x and y

We would use 12 hours assembly and 6 hours sanitization in a maximization problem

5 0
3 years ago
Find the sum 2/3+1/6
FrozenT [24]
5/6 is the correct answer
8 0
3 years ago
Read 2 more answers
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