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2 years ago

A train travels at a constant speed of 24

Mathematics

2 answers:

guapka [62]2 years ago

4 0

Answer:

$d=24h$

Step-by-step explanation:

The table is

h d

1 24

2 48

3 72

4 96

This relation can be presented as the following linear equation

$d=24h$

Because, the distance is defined as the product between the speed and the time. Also, we obtain this relation, by finding the slope of the given vales

$m=\frac{96-24}{4-1}=\frac{72}{3}=24$

Then, using one point, the slope and the point-slope formula, we have

$y-y_{1}=m(x-x_{1})\\y-24=24(x-1)\\y=24x-24+24\\y=24x$

Where $y=d$ and $x=h$ .

Therefore, the expression that models this situation is

$d=24h$

Masja [62]2 years ago

3 0

Answer:

Step-by-step explanation:

d = 24 x h

since d is the distance in order to get that we need to multiply the speed times time and get the answer

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Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withd

zysi [14]

Answer:

a) $520

b) $580

c) Interest amount is same each year

Step-by-step explanation:

Given - Georgie put $500 in her savings account, earning interest at a rate of 4% each year. She did not make any more deposits or withdrawals.

To find - a) How much money was in the account after one year?

b) How much money was in the account after 4 years?

c) Was the amount of money earned in interest the same or different each year?

Proof -

Here given that,

Principal amount = $500

rate of interest = 4% = 4/100 = 0.04

Now,

Amount = P [ 1 + RT ]

= 500 [ 1 + 0.04(1)]

= 500 [ 1 + 0.04] = 520

⇒Amount = $520

Amount = P [ 1 + RT ]

= 500 [ 1 + 0.04(4)]

= 500 [ 1 + 0.16] = 580

⇒Amount = $580

In 2nd year,

Amount = P [ 1 + RT ]

= 500 [ 1 + 0.04(2)]

= 500 [ 1 + 0.08] = 540

⇒Amount = $540

Now,

Interest in 1st year = 520 - 500 = 20

Interest in 2nd year = 540 - 520 = 20

So,

The interest amount is same each year

3 0

3 years ago

6. You can buy 3 apples at Walmart for $1.20. You can buy 5 of the same apples at Sprouts for

luda_lava [24]

Answer:

Walmart: 1.20 divided by 3= 0.4

Sprouts: 1.35 divided by 5= 0.27

Sprouts has a better deal

5 0

3 years ago

What are the intransitive verbs are in the sentence?

Charra [1.4K]

Verbs is the answer my friend

6 0

3 years ago

Point T(-9,5) lies on the perpendicular bisector of UV. If the

Flura [38]

The coordinate of point V is at (-16, 9)

If Point T(-9,5) lies on the perpendicular bisector of UV, this means that the point divides the line UV into two equal parts

Given the following coordinates

Midpoint T = (-9, 5)

U = (-2, 1)

Required

coordinate of point V

Using the midpoint formulas;

$T(x, y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}) \\T(-9, 5) = (\frac{-2+x_2}{2}, \frac{1+y_2}{2})$

Get the value if x₂ and y₂

$-9 = \frac{-2+x_2}{2}\\-18 = -2+x_2\\x_2 = -18+2\\x_2 = -16\\$

Similarly;

$5 = \frac{1+y_2}{2}\\10 = 1+y_2\\y_2 = 10-1\\y_2 = 9\\$

Hence the coordinate of point V is at (-16, 9)

Learn more here: brainly.com/question/18049211

5 0

2 years ago

2. Jim has $57 in her bank account. He wants to buy a video game that costs $69. Should

levacccp [35]

Answer:

Well I would say John shouldn’t buy any vidoe games becuase first he can’t afford it and no one’s gonna borrow 12 dollars for a video gamer. Plus he can buy it when he has enough.

5 0

3 years ago