Questions in picture

Use the order of operations to evaluate the expression below. 15 + 25 = 5 - 48 : 6+4 - 2

GenaCL600 [577]

Answer

Step-by-step explanation:

divide 48:6 first -> 15 + 25 = 5 - 8+4 - 2

then solves the right side of this equation from left to right -> 15 + 25 = -1

add 15 + 25 -> 50 = -1

switch -1 place -> 51 = 0

7 0

3 years ago

Jacob earned $80 babysitting and deposited the money into his savings account.The next week he spent $85 on video games.Use inte

IgorC [24]

Answer:

Here's what I get

Step-by-step explanation:

$\begin{array}{cccc}\bf{Week}& \textbf{Earned/Spent} & \textbf{Change} & \textbf{Net Change}\\1 & \text{Earned \$80} & + 80 & + 80\\2 & \text{Spent \$85} & \mathbf{- 85} &\mathbf{-5}\\\end{array}$

The net chance in Jacob's savings was +80 in the first week, -85 in the second week, and -5 overall.

3 0

3 years ago

5) Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimension as in Figure 5:

Damm [24]

The formula for the speed of the wagon can be found by using Pythagoras theorem, and chain rule of differentiation.

$(a) \ \mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = q -\dfrac{x}{\sqrt{x^2+ 5.76}}$

(b) When x = 0.6 and q = 0.5 m/s, the speed of the wagon is approximately 0.243 m/s.

Reasons:

(a) The distance from the cart to the pulley, r is given by Pythagoras's

theorem as follows;

r = √((3 - 0.6)² + x²) = √(2.4² + x²)

The speed of the wagon = $\mathbf{\dfrac{dx}{dt}}$

The speed of the rope, q = $\mathbf{\dfrac{dr}{dt}}$

By chain rule, we have;

$\dfrac{dr}{dt} = \mathbf{\dfrac{dr}{dx} + \dfrac{dx}{dt}}$

$\dfrac{dr}{dx} = \dfrac{x}{\sqrt{x^2+ 5.76}}$

Therefore;

$\dfrac{dr}{dt} = q =\dfrac{x}{\sqrt{x^2+ 5.76}}+ \dfrac{dx}{dt}$

$\mathrm{The \ speed \ of \ the \ wagon} , \ \dfrac{dx}{dt} = \underline{ q -\dfrac{x}{\sqrt{x^2+ 5.76}}}$

(b) The speed of the wagon when x = 0.6 if q = 0.5 m/s is given as follows;

$\dfrac{dx}{dt} = 0.5 -\dfrac{0.6}{\sqrt{0.6^2+ 5.76}} =\sqrt{\dfrac{1}{17} } \approx 0.243$

The speed of the wagon when x = 0.6 and q = 0.5 m/s, $\dfrac{dx}{dt}$ ≈ 0.243 m/s

Learn more here:

brainly.com/question/17081984

4 0

3 years ago

Help, answer one that hasn’t been answered

SVEN [57.7K]

4x + 2x = < y

This is because the opposite sides (which is 4x and 2x) of a triangle add up to the exterior angle (<y).

We have to find X.

As you know:

$3x + 4x + 2x = 180$

because the angles of a triangle add up to 180.

When we add them:

$9x = 180$

$x = \frac{180}{9}$

The 9 is multiplying with the X. We want X only and not 9 with it. So, when we take 9 to the other side, it becomes divide. As a result, the answer to x is:-

$x = 20$