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3 years ago

Solve the equation. You may find using algebra tiles helpful in solving this problem.

Mathematics

1 answer:

kicyunya [14]3 years ago

5 0

Answer:

x = -4

Step-by-step explanation:

x + 4 = -x - 4

adding both side with x

x + x + 4 = x - x - 4

2x + 4 = -4

give both side (-4)

2x + 4 - 4 = -4 - 4

2x = -8

x = -8/2 = -4

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Evaluate the expression 7+10√1/25

nata0808 [166]

The answer is 9

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2 years ago

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stealth61 [152]

Multiply 3 with 7.
3 * 7 = 21
The value of the gift card changed by -$21 dollars.

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3 years ago

5 cm 4 cm 6 cm 3D rectangle

Sergio [31]

Answer:

120

Step-by-step explanation:

I'm assuming your looking for the area (if not pls tell me and I will make corrections)

So to get the area of a 3D shape you multiply the length, width, and height

5×4×6=120

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2 years ago

A train traveled from Station A to Station B at an average speed of 80 kilometers per hour and then from Station B to Station C

earnstyle [38]

Answer:

(i). Average speed = 75 km per hour

(ii). Average speed = 75 km per hour

Step-by-step explanation:

This question is incomplete; here is the complete question.

A train traveled from station A to station B at an average speed of 80 kilometers per hour and then from station B to station C at an average of 60 kilometers per hour. If the train did not stop at station b, what was the average speed at which the train traveled from station A to C?

(i). The distance that the train traveled from station A to station B was 4 times the distance that train traveled from station B to station C.

(ii). The amount of time it took to the train to travel from station A to station B is 3 times the amount of time that it took the train to travel from station B to station C.

(i) Let the distance between station B and station C = x km

So the distance between Station A and station B = 4x km

Therefore, time to travel the distance x km with 80 km per hour = $\frac{\text{Distance traveled}}{\text{Speed}}$

= $\frac{4x}{80}$

Similarly time taken to travel between station B and station C with speed 60 km per hour = $\frac{x}{60}$ km per hour

Now average speed between station A and station C = $\frac{\text{Total distance between station A and station C}}{\text{time taken to travel}}$

= $\frac{4x+x}{\frac{4x}{80}+\frac{x}{60}}$

= $\frac{5x}{\frac{4x}{60} }$

= $\frac{5\times 60}{4}$

= 75 km per hour

(ii). Let the train took the time to cover the distance between station B and station C = t hours

Therefore, time taken by the train between station A and B = 3t

Distance between Station A and station B = Speed × time

= 80 × 3t

= 240t km

Similarly distance between station B and station C = 60 × t

= 60t

Now average speed between station A and station C = $\frac{240t+60t}{(3t+t)}$

= $\frac{300t}{4t}$

= 75 km per hour

4 0

3 years ago

Write and solve a system of equations: Vanessa and Geneva worked together to buy a pair of tickets ($240 total) to the Green Day

Goshia [24]

Answer:

The systems of equation are $\left \{ {{v+g=21} \atop {10v+12g=240}} \right.$ .

Vanessa worked for 6 hrs and Geneva worked for 15 hrs to earn exactly $240.

Step-by-step explanation:

Let the number of hours worked by Vanessa be 'v'.

Let the number of hours worked by Geneva be 'g'.

Given:

Total number of hours worked = 21 hours

So we can say that;

Total number of hours worked is equal to sum of number of hours worked by Vanessa and number of hours worked by Geneva.

framing in equation form we get;

$v+g=21$ ⇒ equation 1

Also given:

per hour earnings of Vanessa = $10

per hour earning of Geneva = $12

Total they need to earn = $240

So we can say that;

Total they need to earn would be equal to sum of per hour earnings of Vanessa multiplied by number of hours worked by Vanessa and per hour earning of Geneva multiplied by number of hours worked by Geneva.

framing in equation form we get;

$10v+12g =240$ ⇒ equation 2