This exact same question has been asked a few times, but I’m finding several different answers. Could someone please clarify.

Thank you in advance.

Answer:

x + 3x = 356

4x     = 356

x = 356/4 = 89.

answer: 89

Step-by-step explanation:

hopefully this helped :)

Answer:

Step-by-step explanation:

The third angle measures:

Angles and opposite sides are:

The greater the angle, the greater the opposite side, therefore the sides in increasing order will be:

Answer:

If p - q = 10, then p = 10 + q.  Replace the other p with this:

q(2(10 + q) - 10) = 3600

q(20 + 2q - 10) = 3600

q(10 + 2q) = 360

The equilibrium point of a demand and supply function is the point where both functions are equal.

The equilibrium price is 40, and the corresponding demand is 30 supplies

Given

[tex]p- q = 10[/tex] --- the supply function

[tex]q(2p - 10) = 2100[/tex] --- the demand function

Make q the subject in [tex]p- q = 10[/tex]

[tex]q = p - 10[/tex]

Substitute [tex]q = p - 10[/tex] in [tex]q(2p - 10) = 2100[/tex]

[tex](p - 10)(2p - 10) = 2100[/tex]

Factor out 2

[tex]2(p - 10)(p - 5) = 2100[/tex]

Divide both sides by 2

[tex](p - 10)(p - 5) = 1050[/tex]

Open brackets

[tex]p^2 -10p - 5p + 50 = 1050[/tex]

[tex]p^2 -10p - 5p + 50 - 1050 =0[/tex]

[tex]p^2 -15p - 1000 =0[/tex]

Expand

[tex]p^2 -40p + 25p- 1000 =0[/tex]

Factorize

[tex]p(p -40) + 25(p- 40) =0[/tex]

Factor out p - 40

[tex](p+ 25) (p- 40) =0[/tex]

Solve for p

[tex]p = -25[/tex] or [tex]p = 40[/tex]

The price cannot be negative.

So: [tex]p =40[/tex]

Recall that:

[tex]q = p - 10[/tex]

[tex]q = 40 - 10[/tex]

[tex]q = 30[/tex]

Hence, the equilibrium price is 40, and the corresponding number of supplies is 30

See attachment for the graphs of both functions

Learn more about equilibrium price and quantity at:

https://brainly.com/question/11161357

Answer:

justin 10+ Amy 20 + henry 40+ do answer would be 10+20+50=70

explanation

I took justin and timed it by two then half of 20 is 10 then timed it by two again which 20*2 is 40

add it all together and you get 70

Amy sent 20 messages, Justin 10 messages and Henry 40 messages in total.

These type of equation consists of equation with unknown variables.

Let the number of messages sent by amy be x

Let the number of messages sent by Justin be y

Let the number of messages sent by Henry be z

If the total number od mesages sent is 70, hence;

x + y + z = 70

If Justin sent 10 fewer messages than Amy, then;

y = x - 10

If Henry sent 2 times as many messages as Amy, then;

z= 2x

Substitute

x + x - 10 + 2x = 70

4x = 70 + 10

4x = 80

x = 20

Recall

y = x  - 10

y = 10

Also z = 2x

z = 2(20)
z = 40

Hence Amy sent 20 messages, Justin 10 messages and Henry 40 messages in total.

Learn more on system of equation here: https://brainly.com/question/13729904

#SPJ2

Answer: (1-, 1)

Step-by-step explanation:

Thats the middle making it the slope

Answer:

Step-by-step explanation:

Step one:

given

Total money at hand=$25

cost of one popcorn=n $2.5

cost of drink= $1.5

total number of friends plus you= 4+1= 5

let the total amount spent be y

y= 5(2.5)+5(1.5)

y=12.5+7.5

y=20

The above shows that $20 is enough to cover the expenses, and there will be a balance of $5

Answer:

x = 24

y = 10

z = 17

Step-by-step explanation:

4z - 32 = 36

4z = 68

z = 17

6x - 29 = 115

6x = 144

x = 24

36 + 115 = 151

180 - 151 = 29

3y - 1 = 29

3y = 30

y = 10

Answer:

18+14

Step-by-step explanation:

2×9=18 and 2×7=14

18+14 :)

Answer:D

Step-by-step explanation:

Answer:

Jack has $2.20 left.

Step-by-step explanation:

We have to add 5.50 and 2.30 to find his cost.

2.30 + 5.50 = 7.80.

Then, subtract it from $10.00

10.00 - 7.80 = 2.20

Jack has $2.20 left

hope this helped!

Answer:

15/2

Step-by-step explanation:

when dividing by fractions, we "flip and multiply"-- therefore:

3 ÷ 2\5 = 3 x 5/2

3 x 5/2 = 15/2

Answer:

d = sqrt(17)

Step-by-step explanation:

d = sqrt( x2 - x1)^2 + (y2 - y1)^2  )

d = sqrt( (4 - 5)^2 + (-3 - 1)^2 )

d = sqrt( (-1)^2 + (-4)^2  )

d = sqrt ( 1 + 16)

d = sqrt(17)

Answer:

0.5

Step-by-step explanation:

0.68 - 0.17

0.68 ≈ 0.7

0.17 ≈ 0.2

0.7 - 0.2 = 0.5

Answer:

$11.40

Step-by-step explanation:

make the percent a decimal and multiply the total by the percent in decimal form

56.98*0.20=11.396

then round to the nearest tenth

11.40

Answer:

the range is 8-1=7

Step-by-step explanation:

Answer:  Shannon sold the silver plated frame because 45 divided by 2.5 = $18, which is the wood frame rate.

STEP BY STEP EXPLANATION:

I know this because 45 divided by 2.5 = $18 And that’s the silver plated frame.

9514 1404 393

Answer:

  18.8 cubic inches

Step-by-step explanation:

The formula for the volume of a cone is useful:

  V = 1/3πr²h

Where r is half the diameter, we can use r=d/2 to write this in terms of diameter:

  V = 1/3π(d/2)²h = (π/12)d²h

For the given dimensions, the volumes are ...

  large cone: v = (π/12)(4.5 in)²(5.1 in) ≈ 27.04 in³

  small cone: v = (π/12)(3 in)²(3.5 in) ≈ 8.25 in³

Then the difference in volume is ...

  (27.04 -8.25) in³ ≈ 18.8 in³

The larger cone has about 18.8 cubic inches more volume.

Answer: the answer is A

Step-by-step explanation:

Use the rule (a^b)^(c) = a^(bc).

[5^(1/3)]^(3)

5^(1/3)(3)

5^(1)

Answer: 5

Answer:

z(max) =  256000  Php

x₁ = 10

x₂ = 110

Step-by-step explanation:

Jogging pants design                Selling Price       Cost    

weekly production

 Design A    x₁                                     2500            1750

  Design B    x₂                                    2100            1200      

1. z ( function is : )

z = 2500*x₁  +  2100*x₂       to maximize

First constraint weekly production

 x₁    +   x₂    ≤  120

Second constraint Budget

1750*x₁  +  1200*x₂   ≤   150000      

Then the model is

z = 2500*x₁  +  2100*x₂       to maximize

Subject to

 x₁    +   x₂    ≤  120

1750*x₁  +  1200*x₂   ≤   150000  

General constraints   x₁  ≥  0           x₂   ≥ 0            both integers

First table

z           x₁           x₂        s₁       s₂      cte

1       -2500      -2100    0       0         0

0          1              1          1        0  = 120

0      1750         1200     0       1   = 150000

Using AtoZmath online solver and after 6 iterations the solution is:

z(max) =  256000  Php

x₁ = 10

x₂ = 110

Answer:

the axis of symmetry should be x= -2

Step-by-step explanation:

Answer: 24 schedules.

Step-by-step explanation:

Given data:

Courses planning to take = 4

Computer courses = 2

Courses from other areas = 2

Solution:

This problem can be solved using permutation.

For Computer science courses.

npr = n! / ( n - r )!

Where n = 4

r = 2

4p2 = 4!/( 4-2)!

= 4!/2!

= 12

For other courses.

Where n = 4

r = 2

4p2 = 4!/( 4-2)!

= 4!/2!

= 12

Jane can have a total of 24 different schedules.

Answer:

9 and 18

Step-by-step explanation:

Since we don’t know the number, I put x as one of the numbers. Since the other number should be two times as large, that would be 2x.

2x+x=27

3x=27

x=9

To find the other number, which is 2x multiply by 2. So 18

Answer:

one number=9

Second number=18

Step-by-step explanation:

The sum of two numbers =27

one number is 2 times as large as the other

Solution

Let one number=X

Second number=2x

X+2X=27

3x=27

X=27/3

X=9

So one number=9

Second number=18

Answer:11.1 I believe?

Step-by-step explanation:

Forgive me if I am wrong.

Answer:

14.8

Step-by-step explanation:

im gessing thats what it is

Answer:

Step-by-step explanation:

3x-11+6x-10+x=180

10x-21=180

10x=201

x=20,1

Answer:

18 units

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

9 that what p stands for hope it help

Step-by-step explanation: