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3 years ago

Solve the equation 3(x+1)+2x=1/2(10x-14) Plz show the steps

Mathematics

2 answers:

Umnica [9.8K]3 years ago

8 0

Answer:

x=-2

Step-by-step explanation

1) Remove () and Rewrite

13x+13+2x=1/2x2(5x-7)

2) Collect Like Terms

15x+13=5x-7

3) Move Terms

15x-5x=-7-13

4) Divide Both Sides

10x=-20

ANSWER IS x=-2

IrinaK [193]3 years ago

8 0

Answer:

0=−20

Step-by-step explanation:

Distribute

Combine like terms

Combine multiplied terms into a single fraction

Multiply by 1

Subtract from both sides of the equation

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cylinder shaped can needs to be constructed to hold 200 cubic centimeters of soup. The material for the sides of the can costs 0

Dafna11 [192]

Answer:

Radius=2.09 cm

Height,h=14.57 cm

Step-by-step explanation:

We are given that

Volume of cylinderical shaped can=200 cubic cm.

Cost of sides of can=0.02 cents per square cm

Cost of top and bottom of the can =0.07 cents per square cm

Curved surface area of cylinder= $2\pi rh$

Area of circular base=Area of circular top= $\pi r^2$

Total cost,C(r)= $0.02\times 2\pi rh+2\pi r^2\times 0.07$

Volume of cylinder, $V=\pi r^2 h$

$200=\pi r^2 h$

$h=\frac{200}{\pi r^2}$

Substitute the value of h

$C(r)=0.02\times 2\pi r\times \frac{200}{\pi r^2}+2\pi r^2\times 0.07$

$C(r)=\frac{8}{r}+0.14\pi r^2$

Differentiate w.r.t r

$C'(r)=-\frac{8}{r^2}+0.28\pi r$

$C'(r)=0$

$-\frac{8}{r^2}+0.28\pi r=0$

$0.28\pi r=\frac{8}{r^2}$

$r^3=\frac{8}{0.28\pi}=9.095$

$r=(9.095)^{\frac{1}{3}}=2.09$

Again, differentiate w.r.t r

$C''(r)=\frac{16}{r^3}+0.28\pi$

Substitute the value of r

$C''(2.09)=\frac{16}{(2.09)^3}+0.28\pi=2.63>0$

Therefore,the product cost is minimum at r=2.09

h= $\frac{200}{\pi (2.09)^2}=14.57$

Radius of can,r=2.09 cm

Height of cone,h=14.57 cm

4 0

3 years ago

Answer asap 10 points

nydimaria [60]

Answer:

Please follow;

Please follow;Hope you're having a splendiferous day.

Step-by-step explanation:

1. 5÷½=10

2. 9÷⅓=27

3. 8÷⅘=10

4. 12÷2/6=36

5. 16÷⅘=20

3 0

2 years ago

Read 2 more answers

What were the dimensions of the slice defined as RSTU in Exercise 1?

antoniya [11.8K]

Answer:

how can I tell u the answer which out a pic

Step-by-step explanation:

7 0

3 years ago

Find the angle measure C in the parallelogram ABCD.

Kryger [21]

Answer:

135°

Step-by-step explanation:

In a parallelogram the opposite angles are congruent, so

∠BCD = ∠BAD = 135°

5 0

3 years ago

Solve this equation 5(-7x-3)- 8x=-230

Brut [27]

Simplifying

5(7x + -3) = 230

Reorder the terms:

5(-3 + 7x) = 230

(-3 * 5 + 7x * 5) = 230

(-15 + 35x) = 230

Solving

-15 + 35x = 230

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 35x = 230 + 15

Combine like terms: -15 + 15 = 0

0 + 35x = 230 + 15

35x = 230 + 15

Combine like terms: 230 + 15 = 245

35x = 245

Divide each side by '35'.

x = 7

Simplifying

x = 7

5 0

3 years ago