Y = 3x do this fast plz

Translate the following sentence into math symbols. Then solve the problem. Show your work and keep the equation balanced.

adell [148]

For this case we have to represent the following expression algebraically:

"10 less than x is -45"

So:

10 less than x is represented as: $x-10$

Then, the complete expression is represented as:

$x-10 = -45$

Adding 10 to both sides of the equation:

$x = -45 + 10\\x = -35$

Thus, the value of the variable is $x = -35$

Answer:

$x = -35$

4 0

3 years ago

The graph below shows the solution to a system of inequalities: Solid line joining ordered pairs 0, 3.75 and 15, 0. Shade the po

algol [13]

(0,3.75)(15,0)
slope(m) = (0 - 3.75) / (15 - 0) = -3.75/15 = - 0.25 or -1/4

y = mx + b
slope(m) = -1/4
(15,0)...x = 15 and y = 0
now we sub
0 = -1/4(15) + b
0 = -15/4 + b
15/4 = b

y = -1/4x + 15/4
1/4x + y = 15/4....multiply by 4
x + 4y = 15.....and since it is a solid line, it contains an equal sign...and since it is shaded above the line, it is greater.
so ur inequality is : x + 4y > = 15 (thats greater then or equal)

4 0

3 years ago

Read 2 more answers

A cone and a sphere both have a radius of 1. If you fill the cone with liquid, and pour it into the sphere, it fits exactly. Wha

PtichkaEL [24]

Answer and Step-by-step explanation:

First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.

Volume formula of Sphere

V = $\frac{4}{3} \pi r^2$

Substitute 1 in for r

$\frac{4}{3} \pi (1)^2 = \frac{4}{3} \pi = 4.189$ = Volume

Finding the Height of a Cone

Volume formula for Cone: $V = \pi r^2\frac{h}{3}$

Solve for h

Multiply both sides by 3, then divide by pi and r^2.

$h = \frac{3V}{\pi r^2}$

Plug in the volume and the radius.

$h = \frac{3(4.189)}{\pi (1)^2}$

Simplify

$h = \frac{12.567}{\pi }$

h ≈ 4

4 is approximately the height.

#TeamTrees #PAW (Plant And Water)

6 0

3 years ago

Solve for x. Round to the nearest tenth, if necessary.

e-lub [12.9K]

Answer:

$\boxed {\boxed {\sf x \approx 1.9}}$

Step-by-step explanation:

We are asked to find x, a missing side in a triangle.

This is a right triangle because there is a small square in the corner representing a 90 degree or right angle. Therefore, we can use right triangle trigonometry. The three main functions are:

sinθ= opposite/hypotenuse
cosθ= adjacent/hypotenuse
tanθ= opposite/adjacent

Examine the triangle. We will use angle S, measuring 54 degrees, for theta. Side QR, measuring x, is opposite angle S. Side QS, measuring 2.3, is the hypotenuse because it is opposite the right angle. Since we have the opposite and hypotenuse, we will use sine.

$sin \theta = \frac {opposite}{hypotenuse}$

θ= 54
opposite= x
hypotenuse = 2.3

$sin (54)= \frac{ x}{2.3}$

We are solving for x, so we must isolate the variable. It is being divided by 2.3 The inverse operation of division is multiplication, so we multiply both sides by 2.3

$2.3* sin (54)= \frac{x}{2.3}*2.3$