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2 years ago

A car travels 120 miles in 3 hours how far will it take to travel 200 miles

Mathematics

1 answer:

leva [86]2 years ago

6 0

Answer:

5 hours

Step-by-step explanation:

Divide 120 by three to figure out the car’s speed which would be 40 mph and divide 200 by his speed to find the time which gives you 5.

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I will mark as brainiest

Margaret [11]

If two triangles are similar, then their side lengths are proportional.

RS / JK = RT / JL

5 / x = 4 / 7

4x = 35

x = 35/4 = 8.75

RT / JL = TS / LK

4 / 7 = 6 / (y + 2)

42 = 4(y + 2)

42 = 4y + 4

4y = 38

y = 38/4 = 9.5

LK = 9.5 + 2 = 11.5 cm

JK = x = 8.75

Hope this helps!

8 0

1 year ago

Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the

nalin [4]

Answer:

$y=8 \cdot (\frac{5}{4})^x$

$f(x)=8 \cdot (\frac{5}{4})^x$

$f(x)=8 \cdot (1.25)^x$

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

$y=a \cdot b^x$ , ( $b\neq 0$ ).

If you are given the $y-$ intercept, then $a$ is easy to find.

It is just the $y-$ coordinate of the $y-$ intercept is your value for $a$ .

(Why? The $y-$ intercept happens when $x=0$ . Replacing $x$ with 0 gives $y=a \cdot b^0=a \cdot 1=a$ . This says when $x=0 \text{ that} y=a$ .)

So $a=8$ .

So our function so far looks like this:

$y=8 \cdot b^x$

Now to find $b$ we need another point. We have two more points. So we will find $b$ using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given $(1,10)$ is a point on our curve.

So when $x=1$ , $y=10$ .

$10=8 \cdot b^1$

$10=8 \cdot b$

Divide both sides by 8:

$\frac{10}{8}=b$

Reduce the fraction:

$\frac{5}{4}=b$

So the equation if it works out for the other point given is:

$y=8 \cdot (\frac{5}{4})^x$

Let's try it. So the last point given that we need to satisfy is $(2,12.5)$ .

This says when $x=2$ , $y=12.5$ .

Let's replace $x$ with 2 and see what we get for $y$ :

$y=8 \cdot (\frac{5}{4})^2$

$y=8 \cdot \frac{25}{16}$

$y=\frac{8}{16} \cdot 25$

$y=\frac{1}{2} \cdot 25}$

$y=\frac{25}{2}$

$y=12.5$

So we are good. We have found an equation satisfying all 3 points given.

The equation is $y=8 \cdot (\frac{5}{4})^x$ .

4 0

3 years ago

Write 77.5% as a fraction or mixed number in simplest form.

Delicious77 [7]

Answer:

The answer is $77\frac{1}{2}$ .

Step-by-step explanation:

Given:

77.5%.

Now, to write as a fraction or mixed number in simplest form.

77.5%

So, we divide by 10 by removing decimal as decimal is at tenth place.

= $\frac{775}{10}$

So, simplifying it:

$=\frac{155}{2}$

Now, we change into mixed fraction:

$=77\frac{1}{2}$

Therefore, the answer is $77\frac{1}{2}$ .

7 0

2 years ago

What is the value of y in the solution to the system of equations? x + y = 1 2x – 3y = –30

Sauron [17]

X + y = 1.....multiply by -2
2x - 3y = -30
-----------------
-2x - 2y = -2 (result of multiplying by -2)
2x - 3y = -30
----------------add
-5y = -32
y = -32/-5
y = 32/5 or 6.4 <===

7 0

3 years ago

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At the district competition for 5th grade jump-roper of the year, the following number of jumps without stopping were recorded p

adoni [48]

The median is 264 and there is no mean.

6 0

3 years ago

Read 2 more answers