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3 years ago

What is the solution for the equation 4x − 10 = 2x

Mathematics

2 answers:

anyanavicka [17]3 years ago

3 0

Answer:

THE ANSWER IS A I TOOK THE TEST

Step-by-step explanation:

HOPE I HELPED

Neporo4naja [7]3 years ago

3 0

Hey!

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Solution:

~Subtract 4x to both sides

4x - 10 - 4x = 4x - 2x

~Simplify

10 = 2x

~Flip Equation

2x = 10

~Divide 2 to both sides

2x/2 = 10/2

~Simplify

x = 5

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Answer:

A. x = 5

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Hope This Helped! Good Luck!

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A sealed tank of water measures 10cm x 8 cm x 40cm. When it stands on one

Pavel [41]

Answer:

New height = 6

Step-by-step explanation:

The water is going to be the same volume no matter how the tank is orientated.

So you can do this 2 ways.

First way

Find the volume in the tank when the water goes up 24 cm on the height.

V = L*W*h

L = 8

W = 10

H = 24

V = 1920 cm^3

Now do it using the

L = 40

W = 8

h = ?

1920 = L * W * h

1920 = 40 * 8 * h

1920 = 320 * h

h * 320 = 1920

h = 1920/320

h = 6

Or you can do it without finding the 1920

L*W*h = L1 * w1 * h1

8*10*24 = 40 * 8 * h The 8's cancel

10*24 = 40*h Divide both sides by 10

24 = 4h Divide by 4

h = 6

Same as you got before.

7 0

3 years ago

A discuss moves from P1 (4,8) to P2 (15,17). What is the lincar displacement in the horizontal and vertical directions? What is

Yakvenalex [24]

Answer:

The horizontal displacement is 11 units, the vertical displacement is 9 units, and the projection angle is 39.3 degrees.

Step-by-step explanation:

We can start using the definition of displacement in one dimension between any 2 points which is the difference between them, so we have

$\Delta s = s_2-s_1$

And apply it to get the horizontal and vertical displacements.

Once we have found them, we can use trigonometric functions to find the projection angle with respect the horizontal.

Linear displacements.

Using the definition of displacement, we can write the horizontal displacement as

$\Delta x = x_2-x_1$

So we can use the given points $P1:(x_1,y_2) \text{ and } P_2: (x_2,y_2)$ on the displacement formula

$\Delta x = 15-4\\\Delta x = 11$

In the same manner we can look at the y components of those points to find the vertical displacement

$\Delta y = 17-8\\\Delta y =9$

Thus the horizontal displacement is 11 units and the vertical displacement is 9 units.

Projection angle.

The projection angle with respect the horizontal is the angle that is made between the line that connects the points P1 and P2 and the horizontal, so we can use the linear displacements previously found to write

$\tan(\theta) = \cfrac{\Delta y}{\Delta x}$

Solving for the angle we get

$\theta = \tan^{-1}\left(\cfrac{\Delta y}{\Delta x}\right)$

Replacing values

$\theta = \tan^{-1}\left(\cfrac{9}{11}\right)$

Which give us

$\theta = 39.3^\circ$

So the projection angle is 39.3 degrees.

7 0

3 years ago

A taxi service charges a $10 flat fee plus $3 per mile traveled. If an equation is made to calculate the total cost of a taxi ri

sertanlavr [38]

Flat rate=y intercept
rate per mile=slope
y=3x+10 would be it

1.
3 is the value of the slope (3 dollars per mile)

2.
y intercept is (0,10)

3.
22 miles
y=3(22)+10
y=66+10
y=76
$76

8 0

3 years ago

in the lab, Tammy has two solutions thta contain alcohol and is mixing them with each other. She use twice as much Solution A as

Dmitry_Shevchenko [17]

Answer:

She uses 200 milliliters of solution B

Step-by-step explanation:

Notice that there are two unknowns in this problem: 1) the amount of solution A that is being used, and 2) the amount of solution B being used. We can name such unknowns with letters to facilitate our work:

Amount of solution A to be used = A

Amount of solution B to be used = B

So, since we need to find two unknowns, we need to create a system of two equations to solve them.

Our first equation can be obtained from the sentence: "She uses twice as much Solution A as Solution B," which written in mathematical form is:

A = 2 B

The second equation we can build from the information of the amount of alcohol in each solution that combined will add up to 104 milliliters of alcohol in the mixture. Knowing the percent of alcohol in each solution, we can write an equation for the amount of alcohol:

0.19 A + 0.14 B = 104

Now we can use our first equation to substitute A in terms of B in the second equation:

0.19 (2 B) + 0.14 B = 104

0.38 B + 0.14 B = 104

0.52 B = 104

B = 104 / 0.52

B = 200 milliliters

4 0

3 years ago

How do I do problems 4-6

faltersainse [42]

4-6= -2 what are you having problems understanding I can help

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3 years ago