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3 years ago

Solve the following automotive-services problems based on the examples shown previously.

Mathematics

2 answers:

worty [1.4K]3 years ago

8 0

Your previous examples have shown you
.. R = V/I
.. R = (12 v)/(48 amps) = 1/4 ohm

Oksi-84 [34.3K]3 years ago

6 0

Answer:

.25 ohm or resistance

Step-by-step explanation:

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at the cafe, Rebecca can choose to earn $10 per hour plus a $60 starting bonus or earn $12 per hour with no starting bonus. afte

qwelly [4]

Hi there! The answer is 30 hours.

Let the number of worked hours be represented by X.

The total earn of option 1, would then be 10X + 60
The total earn of option 2, would then be 12X

We end up with the following equation:
$10x + 60 = 12x$
Subtract 10X from both sides.

$60 = 2x$
Divide both sides by 2.

$x = 30$
Therefore, after 30 hours of work Rebecca will earn the same amount of money.

8 0

3 years ago

19) Albert says that the two systems of equations shown have the same solutions.

k0ka [10]

Answer:

option A) Agree, because the solutions are the same is correct.

Step-by-step explanation:

FIRST SYSTEM

$6x + y= 2$

$-x-y=-3$

solving the system

$\begin{bmatrix}6x+y=2\\ -x-y=-3\end{bmatrix}$

$\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}6\:\mathrm{:}\:\quad \:-6x-6y=-18$

$\begin{bmatrix}6x+y=2\\ -6x-6y=-18\end{bmatrix}$

adding the equation

$-6x-6y=-18$

$+$

$\underline{6x+y=2}$

$-5y=-16$

so the system becomes

$\begin{bmatrix}6x+y=2\\ -5y=-16\end{bmatrix}$

solve -5y for y

$-5y=-16$

Divide both sides by -5

$\frac{-5y}{-5}=\frac{-16}{-5}$

simplify

$y=\frac{16}{5}$

$\mathrm{For\:}6x+y=2\mathrm{\:plug\:in\:}y=\frac{16}{5}$

$6x+\frac{16}{5}=2$

subtract 16/5 from both sides

$6x+\frac{16}{5}-\frac{16}{5}=2-\frac{16}{5}$

$6x=-\frac{6}{5}$

Divide both sides by 6

$\frac{6x}{6}=\frac{-\frac{6}{5}}{6}$

$x=-\frac{1}{5}$

Therefore, the solution to the FIRST SYSTEM is:

$x=-\frac{1}{5},\:y=\frac{16}{5}$

SECOND SYSTEM

$2x-3y = -10$

$-x-y=-3$

solving the system

$\begin{bmatrix}2x-3y=-10\\ -x-y=-3\end{bmatrix}$

$\mathrm{Multiply\:}-x-y=-3\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:-2x-2y=-6$

$\begin{bmatrix}2x-3y=-10\\ -2x-2y=-6\end{bmatrix}$

$-2x-2y=-6$

$+$

$\underline{2x-3y=-10}$

$-5y=-16$

so the system of equations becomes

$\begin{bmatrix}2x-3y=-10\\ -5y=-16\end{bmatrix}$

solve -5y for y

$-5y=-16$

Divide both sides by -5

$\frac{-5y}{-5}=\frac{-16}{-5}$

Simplify

$y=\frac{16}{5}$

$\mathrm{For\:}2x-3y=-10\mathrm{\:plug\:in\:}y=\frac{16}{5}$

$2x-3\cdot \frac{16}{5}=-10$

$2x=-\frac{2}{5}$

Divide both sides by 2

$\frac{2x}{2}=\frac{-\frac{2}{5}}{2}$

Simplify

$x=-\frac{1}{5}$

Therefore, the solution to the SECOND SYSTEM is:

$x=-\frac{1}{5},\:y=\frac{16}{5}$

Conclusion:

As both systems of equations have the same solution.

Therefore, we conclude that Albert is right when says that the two systems of equations shown have the same solutions.

Hence, option A) Agree, because the solutions are the same is correct.

8 0

3 years ago

Find the value of x in each case. Give reasons to justify your solutions!<br><br><br> answer ASAP

schepotkina [342]

Answer:

x = 19

Step-by-step explanation:

YZ || XW, so ∠Y = ∠W

if ∠Y = ∠W, then ∠W = 2x

since the sum of the angles of a triangle is 180 degrees:

(3x-5) + 2x + 90 = 180

x = 19

5 0

3 years ago

Every 5 1/2 cups of flour weighs 1 9/16 pounds. use a unit rate to show how you could determine if there are more than or less t

slega [8]

So 5 and 1/2 cup flour =1 and 9/16
multiply both sides by 16
80 and 16/2 cups=16 and 9
88 cups=25 pounds
divide by 5
88/5=5 pounds
multiply by 2
176/5=10 pounds
176/5=35 and 1/5
35 and 1/5 cups=10 pounds

there is MORE than 35 cups of flour in a 10 pound bag

5 0

3 years ago

A hardware store owner buys electric drills for $35.00 each. He marks up the price by 60%. What does the store sell each drill f

aliya0001 [1]

Answer:

$56.00

Step-by-step explanation:

35+(60/100)

=21

35+21

=$56.00

3 0

3 years ago