Step Statement Reason

Estimate to find the quotient if 823 divided by 23

ivanzaharov [21]

Answer:

Step-by-step explanation:

35.7826087

I'm guessing you want it estimated to the nearest tenth so 35.8

4 0

3 years ago

Read 2 more answers

an electrition charged $70 for 2 hours of work and 115 for 5hours of work write an equtionto find the cost for y and xk

Westkost [7]

$\bf \begin{array}{ccll} \stackrel{x}{hours}&\stackrel{y}{cost}\\ \cline{1-2} 2&70\\ 5&115 \end{array}~\hspace{10em}(\stackrel{x_1}{2}~,~\stackrel{y_1}{70})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{115}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{115-70}{5-2}\implies \cfrac{45}{3}\implies 15$

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-70=15(x-2)\implies y-70=15x-30 \\\\\\ y=15x+40\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

as you already know, a direct proportional variation has a constant of variation "k", y = kx, which in this case that'd be the slope, namely 15.

7 0

3 years ago

A truck can be rented from Company A for $70 a day plus $0.20 per mile. Company B charges $20 a day plus $0.40 per mile to r

Otrada [13]

Answer:

For Company A to have a better deal, the truck must be driven more than 250 miles per day.

Step-by-step explanation:

Given that:

Rent per day of company A = $70

Per mile charges = $0.20

Let,

x be the number of miles.

A(x) = 0.20x + 70

Rent per day of company B = $20

Per mile charges = $0.40

B(x) = 0.40x + 20

For make Company A better deal,

A(x) > B(x)

0.20x+70 > 0.40+20

0.20x-0.40x>20-70

-0.20x>-50

Dividing both sides by -0.20

$\frac{-0.20x}{-0.20}>\frac{-50}{-0.20}\\x>250$

Hence,

For Company A to have a better deal, the truck must be driven more than 250 miles per day.

8 0

3 years ago

How does the DMV point system work?

Elodia [21]

Answer:

A. It keeps track of a driver's offenses so that they can suspend his license if they need to

Step-by-step explanation:

The DMV keeps a record of a person's driving history. This records any accidents or another traffic offenses like red light violations or speed violations etc.

Each traffic violation is assigned a point on a person's driver record. Hence, it is used to keep track of a driver's offenses so that they can suspend his license if they need to.

4 0

3 years ago

If m 24 is 53°, what is the m26?

hodyreva [135]

Answer:

m∠8 = 49°

Step-by-step explanation:

∠7 and ∠8 are same-side interior angles.

Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.

Let's use the variable 'x' to represent the unknown measure of angle ∠8.

$131 +x=180$