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2 years ago

What is the value of the variable? 3(x- 2)=15

Mathematics

1 answer:

STatiana [176]2 years ago

4 0

Answer:

x=7

Step-by-step explanation:

To solve for x, you have to multiply the terms in parenthesis by 3. Then you add 6 to each side of the equal sign. Then you divide each side of the equal sign by 3 to get x=7

$3x-6=15\\3x=15+6\\3x=21\\x=21/3\\x=7$

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Train a is traveling at 30 mph faster than train b. If train a travels 350 miles in the same amount of time that train b travels

GalinKa [24]

Answer:

20 mph

Step-by-step explanation:

Let speed of Train a = Va mph

Let speed of Train b = Vb mph

Va = Vb + 30

Let time taken for Train a = Ta

Let time taken for Train b = Tb

time taken = distance travelled/speed

Ta = 350/Va = 350/(Vb+30)

Tb = 140/Vb

But they both travel in the same amount of time.

So, Ta = Tb

$\frac{350}{v_{b} + 30}=\frac{140}{v_{b}}$

Cross multiply

$350v_{b} = 140(v_{b} + 30)\\\\350v_{b} = 140v_{b} + 4200\\\\350v_{b} -140v_{b} = 4200\\\\210v_{b} = 4200$

Divide both sides by 210

$\frac{210v_{b} }{210} \frac{4200}{210} \\\\v_{b} = 20 mph$

4 0

2 years ago

A taxi ride costs p40.00 for the first 500 meters and each additional 300 meters or a fraction there of adds p3.50 to the fare.u

Zarrin [17]

The function which represents the taxi fare in terms of distance d in meter is f(d) = 3.50 × $\frac{d-500}{300}$ + 40 .

According to the question,

For first 500 meters cost is 40.00 and For each additional 300 meters cost is 3.50 .

Let, the total distance of taxi ride = d meters

Now, representing the equation of taxi fare in terms of distance when distance is less than 500

taxi fare = 3.50 × $\frac{d-500}{300}$ + 40

∴ f(d) = 3.50 × $\frac{d-500}{300}$ + 40

To know more about functions refer below link: brainly.com/question/12431044

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8 0

1 year ago

Please hurry im in a timed test

Mnenie [13.5K]

Answer:

$x^2-7x+12$

Step-by-step explanation:

$(x-3)(x-4)=\\x \cdot x + x \cdot -4 +x \cdot -3 + -3 \cdot -4=\\x^2-4x-3x+12=\\x^2-7x+12$

Hope this helps!

3 0

2 years ago

Which expression is equivalent to 2(x-3) +4x+3

Lemur [1.5K]

Answer:

6x - 3

Step-by-step explanation:

2(x-3) + 4x + 3

= 2x - 6 + 4x + 3 (Multiply out)

= 2x + 4x - 6 + 3 (Rearrange)

= 6x - 3

6 0

2 years ago

Read 2 more answers

A map of a park says its scale is 1 to 100. What does that mean?

Alex777 [14]

A scale is a term that refers to the representative fraction for comparing the original length and image length of a given object. It means implies that every 1 unit on the drawing is equal to 100 units on the park.

A scale is a term that can be referred to as the representative fraction that compares the original length and image length of a given object. Types of scale include enlarged scale, reduced scale, and real scale.

Enlarged scale is a scale that is used when the size of a given object is to be increased.
Reduced scale is used when the size of a given object is to be decreased.
Real scale implies the exact size of a given object.

Scale can be expressed as;

Scale = $\frac{length on drawing}{original length}$

Thus a scale has no unit.

Therefore, the given question implies that every 1 unit on the drawing is equal to 100 units on the original park. Thus it is a reduced scale.

For more clarifications on a scale drawing, visit: brainly.com/question/23209981

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6 0

8 months ago