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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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3 years ago

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Use trigonometric ratios to find the indicated side

iragen [17]

Answer:

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Step-by-step explanation:

A. Reference angle = 68°

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2 years ago

Solve for x.<br> 6 - 4x = -22

Kitty [74]

Answer:

x = 7

Step-by-step explanation:

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3 years ago

Big Mack buys meat for the family reunion cookout. He needs to buy 11 packagesof meat. A package of hotdogs costs $2.59, and a p

IgorC [24]

Hello!

Let's write some important information contained in the exercise:

• hotdogs: $2.59 (,x,)

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• x + y = 11

He spent a total of $39.29. We can write it as:

• 2.59x + 5.29y = 39.29

Now, let's solve these two equations as a linear system:

$\begin{cases}x+y=11\text{ equation A} \\ 2.59x+5.29y=39.29\text{ equation B}\end{cases}$

First, let's isolate x in equation A:

$\begin{gathered} x+y=11 \\ x=11-y \end{gathered}$

Now, we will replace where's x by 11-y in equation B:

$\begin{gathered} 2.59x+5.29y=39.29 \\ 2.59(11-y)+5.29y=39.29 \\ 28.49-2.59y+5.29y=39.29 \\ -2.59y+5.29y=39.29-28.49 \\ 2.7y=10.8 \\ y=\frac{10.8}{2.7} \\ \\ y=4 \end{gathered}$

As I called the hamburgers as 'y', we know that he bought 4 packages of hamburgers.

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1 year ago