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4 years ago

What is the solution to this equation? 6x + 10 - 2x= 7 + 23

Mathematics

1 answer:

Strike441 [17]4 years ago

7 0

Answer:

$\boxed{x=5}$

Step-by-step explanation:

First, you need to combine like terms in order to begin simplifying. This is done by subtracting 2x from 6x. Also, add 7 to 23.

6x + 10 - 2x = 7 + 23

4x + 10 = 7 + 23

4x + 10 = 30

Now, you have a two-step equation. Subtract 10 from both sides, and then divide by 4.

4x + 10 = 30

4x = 20

x = 5 is the final answer.

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If ten is no more than four times the sum of twice a number and three how do I write and work this for algebra

vagabundo [1.1K]

(2x+3)*4 is less than or equal to 10. For x, the number, you would get x is greater than or equal to -1/4.

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3 years ago

High grade steel consists of 85% iron and 15% magnese. Low grade steel consists of 67% iron and 33% mag ese. NASA orders 500 ton

Mamont248 [21]

Answer:

$361\dfrac{1}{9}$ tons of high steel and $138\dfrac{8}{9}$ tons of low steel

Step-by-step explanation:

Let x be the number of tons of high grade steel and y be the number of tons ow low grade steel needed.

In x tons of high grade steel there are

$0.85x$ tons of iron

$0.15x$ tons of magnese

In y tons of low grade steel there are

$0.67y$ tons of iron

$0.33y$ tons of magnese

NASA orders 500 tons of steel, so

$x+y=500$

and specifies that it must be in the proportion 80% iron and 20% magnese, so

$0.85x+0.67y=500\cdot 0.8\\ \\0.85x+0.67y=400$

From the first equation,

$x=500-y$

Substitute it into the second equation:

$0.85(500-y)+0.67y=400\\ \\425-0.85y+0.67y=400\\ \\-0.18y=-25\\ \\y=\dfrac{2,500}{18}=138\dfrac{8}{9}\ tons\\ \\x=361\dfrac{1}{9}\ tons$

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4 years ago

The path a character takes to navigate a level of a video game is given in the following graph.

KonstantinChe [14]

We want to find the domain for the graphed function. We will see that the correct option is A: -12 ≤ x ≤ 14

<h3>What is the domain of a function?</h3>

For a function f(x) we define the domain as the set of possible inputs that we can use in the function.

In this case, we need to see the values in the horizontal axis that the graph covers.

We can see that it goes from -12 to 14. We also can see that there are two jumps, at x = -6 and at x = 8, but these values belong to the graph (denoted by the black dot) meaning that these are in the domain.

Then the domain is:

-12 ≤ x ≤ 14

If you want to learn more about domains, you can read:

brainly.com/question/1770447

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2 years ago

Evaluate 9+ w/5 + 5h when h= -8 and w= 20

andrezito [222]

Answer:

Answer is below

Step-by-step explanation:

Evaluate for h=−8,w=20

9+20/5+(5)(-8)

So therefore your answer would be -27

5 0

3 years ago

A proof should always begin with stating the given information. True False

const2013 [10]

A proof should always begin with stating the given information.
True

5 0

3 years ago

Read 2 more answers