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2 years ago

Solve for the value of the variable: 7x+ 10 = 4x + 16 Enter the answer

Mathematics

1 answer:

IRISSAK [1]2 years ago

5 0

Step-by-step explanation:

7x + 10 = 4x + 16

3x + 10 = 16 (subtract 4x on both sides)

3x = 6 (subtract 10 on both sides)

x = 2 (divide 3 on both sides)

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Patrick spent a total of $29.82 for 14 paintbrushes, $31.84 for 16 drywall anchor screws, $27.15 for 12 light bulbs, and $36.54

Lelu [443]

Answer: Light bulbs.

Step-by-step explanation:

Paint Brushes: 29.82 ÷ 14 = $2.13 per brush.

Drywall Screws : 31.84 ÷ 16 = $1.99 per anchor screw.

Light Bulbs: 27.15 ÷ 12 = $2.26 per light bulb.

Sandpaper: 36.54 ÷ 18 = $2.06 per piece of sandpaper.

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3 years ago

Use properties of addition to find each sum. Identify the property that you used

9966 [12]

Well you would move the order around to 13+7+29 and that would be the commutative property

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3 years ago

What is 13x -4+100=180

Naddika [18.5K]

Answer: x = 6.46153846

Step-by-step explanation:

We are given the equation 13x - 4 +100 = 180, and we must find the value of x. In order to do that get x on on one side by itself and a constant on the other side by itself.

This first step is to combine like terms. 13x is by itself. -4 + 100 = 96. This gives us the equation 13x +96 = 180.

In order to get x by itself, subtract 96 from each side of the equation. This gives us the equation 13x = 84.

Next, divide each side by 13 to find x. This gives us x = 6.46153846

$13x - 4 +100=180$

$13x + 96 = 180$

$13x = 84$

$x = 6.46153856$

Hope this helps! Have a nice day!

3 0

3 years ago

Help help help help me me

Jet001 [13]

Answer:

Step-by-step explanation:

Sorry

5 0

2 years ago

Read 2 more answers

A ball is thrown up in the air, and it's height (in feet) as a function of time (in seconds) can be written as h(t) = -16t2 + 32

olga2289 [7]

Answer:

1) Using properties of the quadratic equation:

Here the height equation is:

h(t) = -16t^2 + 32t + 6

We can see that the leading coefficient is negative, this means that the arms of the graph will open downwards.

Then, the vertex of the quadratic equation will be the maximum.

Remember that for a general quadratic equation:

a*x^2 + b*x + c = y

the x-value of the vertex is:

x = -b/2a

Then in our case, the vertex is at:

t = -32/(2*-16) = 1

The maximum height will be the height equation evaluated in this time:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

2) Second method, using physics.

We know that an object reaches its maximum height when the velocity is equal to zero (the velocity equal to zero means that, at this point, the object stops going upwards).

If the height equation is:

h(t) = -16*t^2 + 32*t + 6

the velocity equation is the first derivation of h(t)

Remember that for a function f(x) = a*x^n

we have that:

df(x)/dx = n*a*x^(n-1)

Then:

v(t) = dh(t)/dt = 2*(-16)*t + 32 + 0

v(t) = -32*t + 32

Now we need to find the value of t such that the velocity is equal to zero:

v(t) = 0 = -32*t + 32

32*t = 32

t = 32/32 = 1

So the maximum height is at t = 1

(same as before)

Now we just need to evaluate the height equation in t = 1:

h(1) = -16*1^2 + 32*1 + 6 = 22

The maximum height is 22ft

4 0

3 years ago