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3 years ago

9

The romans marched 500 meters in 4 hours. For the next 4 hours they tripled their pace. What was the total distance traveled by

the Romans in 8 hours?

1 answer:

lara31 [8.8K]3 years ago

7 0

Distance traveled during the first 4 hours: 500 m Note that the rate here was 125 m/hr.

Distance traveled during the next four hours: 3(125 m/hr)(4 hr) = 375 m

Total distance traveled: 500 m + 375 m = 875 m

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there are 4 quarters for every one dollar and 10 dimes for every dollar. Without graphing, would the ratio of quarters to dollar

grin007 [14]

Answer:

no

Step-by-step explanation:

remember lines and line equations.

y = ax + b

a line has a slope indicating its angle relative to the basic coordinate axis and grid of x and y.

the slope is "a" in the generic equation, always the factor of x.

and it stands for the ratio y/x. it means how many units is y changing (and in what direction via its sign), when x changes a certain amount of units.

e.g. 3/4 means, when x changes 4 units to the positive (right) side, then y changes 3 units to the positive (up) side.

and also, when x changes 4 units to the negative (left) side, then y changes 3 units to the negative (down) side, as -/- is again +.

or -3/4 means, when x changes 4 units to the positive (right) side, then y changes 3 units to the negative (down) side, as -/+ is -.

and also, when x changes 4 units to the negative (left) side, then y changes 3 units to the positive (up) side, as +/- is again -.

so, we have here 2 ratios : 4/1 (quarters to dollars) and 10/1 (dimes to dollars).

remember what that means : y/x.

when x changes 1 unit to the right (x increases by 1), y changes 4 units up (y increases by 4).

and when x increases by 1 unit, y increases by 10 units.

what do you think is the steeper line ?

both are steep, as y increases much faster than x. but in the 10/1 ratio y increases much faster than in the 4/1 ratio. so, 10/1 is steeper than 4/1.

therefore, the answer is no. the ratio quarters to dollars does not represent a steeper line.

by the way, ratios like 4/1 or 10/1 are simply written 4 or 10.

so, when you see a line equation like y = 3x + 2,

you know the slope is 3 or actually 3/1.

3 0

3 years ago

Darleen just started teaching elementary school. She earns a gross monthly income of $2200. How much is deducted this month for

Sholpan [36]

Well i cant tell you what it is 100% but i can tell you medicare takes 20% and i think social security takes 30% plz rate me good

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4 years ago

The Tama, Japan, monorail carries 92,700 riders

Damm [24]

Answer:

The monorail runs 18 hours runs every day.

Step-by-step explanation:

You know that the total number of riders the monorail carry each day is 92700 and the number of riders the monorail carry per hour is 5150.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

A direct proportionality relationship is established between two quantities if:

The greater the quantity in one quantity, the greater the quantity in the other quantity, in the same proportion.
The less quantity in the magnitude corresponds to the less quantity in the other magnitude, in the same proportion.

If the relationship between the magnitudes is direct the direct rule of three must be applied and to solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

Being

$x=\frac{c*b}{a}$

In this case the rule of three can be applied in the following way: if the monorail carries 5,150 passengers in 1 hour, the monorail will transport 92,700 passengers in how many hours?

$amount of hours=\frac{92,700 passengers*1hour}{5,150 passengers}$

amount of hours= 18 hours

So <u><em>the monorail runs 18 hours runs every day.</em></u>

8 0

4 years ago

Plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Alexxx [7]

Answer:

1

Step-by-step explanation:

When they say the value of h(x) they're asking what y value is when x=3. Hope this helps!

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3 years ago

The ratio of deer to foxs was 7 to 3 in the country of New York State. If there were 210 foxes in the country, what was the numb

vodka [1.7K]

The number of deer in the country is 90

4 0

3 years ago