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3 years ago

5(2x+6)= -4( -5 - 2x)+3x Solve for x

Mathematics

1 answer:

lisov135 [29]3 years ago

8 0

Answer: x = -7/2

Step-by-step explanation:

10x+ 30 = 20 +8x+ 3

10x+ 30=23+8x

10x-8x = 23-30

2x=-7

( a helpful app to help with these type of problems is photomath)

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Please solve this, will rate 5 stars and mark as STAR!

Nina [5.8K]

Answer:

$\boxed{5 \cdot \sqrt{2} \cdot \sqrt[6]{5} }$

Step-by-step explanation:

$\sqrt[3]{250} \cdot \sqrt{\sqrt[3]{10} }$

$\sqrt{\sqrt[3]{10} } \implies (10^\frac{1}{3} )^\frac{1}{2} =10^\frac{1}{6} =\sqrt[6]{10}$

$\therefore \sqrt{\sqrt[3]{10} }=\sqrt[6]{10}$

$\text{Solving }\sqrt[3]{250} \cdot \sqrt{\sqrt[3]{10} }$

$250=2 \cdot 5^3$

$\sqrt[3]{250}=\sqrt[3]{2\cdot 5^3}=5 \sqrt[3]{2}$

Once

$\sqrt[6]{2} \cdot \sqrt[6]{5} = \sqrt[6]{10}$

We have

$5 \sqrt[3]{2} \cdot \sqrt[6]{2} \cdot \sqrt[6]{5}$

We can proceed considering the common base of exponentials

$\sqrt[3]{2} \cdot \sqrt[6]{2} = 2^{\frac{1}{3}} \cdot 2^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} }=\sqrt{2}$

Therefore,

$5 \sqrt[3]{2} \cdot \sqrt[6]{2} \cdot \sqrt[6]{5} = 5 \cdot \sqrt{2} \cdot \sqrt[6]{5}$

7 0

3 years ago

How much is 5 quarters and 8 dimes?

polet [3.4K]

Answer:

205

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Driver's Delight is considering building a new track. They have a circular space

aleksandr82 [10.1K]

Answer:

<h3>The answer is 471 feet</h3>

Step-by-step explanation:

Since the the track is circular

Circumference of a circle = πd

where

d is the diameter

π = 3.14

From the question

diameter = 150 feet

Circumference = 150π

= 150(3.14)

We have the final answer as

<h3>Circumference = 471 feet</h3>

Hope this helps you

6 0

3 years ago

Read 2 more answers

A circular piece of metal has a radius of 3.5 meters.

prisoha [69]

1) we calculate the area of the circular piece of metal.
area=πr²
area=π(3.5 m)²=12.25π m² ≈ 38.48 m²

2)we calculate the total cost of the circular piece of meta by the rule of three.

$3.25-------------------1 m²
x--------------------------38.48 m²

x=($3.25 * 38.48m²) / 1 m²=125.06$

Answer: 125.06$

We can also calcultate the total cost of the ciucular piece of metal by the ratius.
Ratius=$3.25/1m²

Total cost=ratius * area of the circular piece of metal.
total cost=($3.25/ m²)*(38.48 m²)=$125.06

Answer: $125.06

4 0

3 years ago

Two mechanics worked on a car. the first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. together they

Stells [14]

Let
x----------> the first mechanic rates
y----------> the second mechanic rates

we know that
x+y=165
15x+5y=1775

using a graph tool
see the attached figure

the solution is
x=95
y=70

the answer is

the rates of the first mechanic is 95
the rates of the second mechanic is 70

4 0

3 years ago