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2 years ago

1. The graph shows the number of miles Peter's car traveled and the gallons of gas used.

Mathematics

1 answer:

steposvetlana [31]2 years ago

4 0

Answer:

C. d = 24g

Step-by-step explanation:

The problem boils down to determining the ratio between d and g. That is, for some equation ...

d = k·g

we want to determine the value of k. Solving the equation for that value, we find ...

k = d/g

So, we need only to read a point from the graph with sufficient accuracy to determine a good estimate for k.

(gallons, miles) = (g, d) = (5, 120) is a suitable point

Then ...

k = d/g = 120/5 = 24

The equation is d = 24g.

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A conductor is mapping a trip and records the distance the train travels over certain time intervals.

leonid [27]

In half an hour the trains travels 22.5 miles

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1 year ago

the scale on a map is stated as 1:250000 two villages are 9 cm apart on the map how far from each other are the two villages in

Karolina [17]

Answer:

22.5 kilometers

Step-by-step explanation:

we know that

The scale drawing is

$1:250,000$

That means

1 unit on a map represent 250,000 units in the actual

1 cm on a map represent 250,000 cm in the actual

1 cm on a map represent 2,500 m in the actual

1 cm on a map represent 2,5 km in the actual

therefore

using proportion

Find out how much represent 9 cm apart on the map

$\frac{1}{2.5}\ \frac{cm}{km}=\frac{9}{x}\ \frac{cm}{km}\\\\x=9(2.5)\\\\x=22.5\ km$

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2 years ago

Decrease £19064.67 by 9.5% Give your answer rounded to 2 DP.

alina1380 [7]

Answer:

New amount (decrease) = £17253.53

Step-by-step explanation:

Given the following data;

Amount = £19064.67

Percentage = 9.5%

To find the percentage decrease;

$Percentage \; cost = \frac {9.5}{100} * 19064.67$

$Percentage \; cost = 0.095 * 19064.67$

Percentage cost = £1811.14

New amount (decrease) = Original amount - percentage cost

Substituting into the equation, we have;

New amount (decrease) = £19064.67 - £1811.14

New amount (decrease) = £17253.53

6 0

2 years ago

Hannah's school hosted a book donation. There are 150 students at her school, and they donated a total of b books! Hannah donate

svetoff [14.1K]

Answer:

$x=3*\dfrac{b}{150}$

Step-by-step explanation:

Let x = number of books that Hannah donated

We know that the number of students is 150 and the total number of books is represented by b, we can write that as:

Average number of books donated by each student = $\dfrac{b}{150}$

Now we know that Hannah donated 3 times as much as the average. We can write that as:

$x=3*\dfrac{b}{150}$

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2 years ago

Air pressure may be represented as a function of height above the surface of the Earth as shown below. P(h)=PoE^-.00012h In this

AlexFokin [52]

The equation to find the air pressure (P(h)) at a height above sea level (h) is given by

$P(h)=P_{0} e^{-0.00012h}$

Where,

P(h) is the new pressure at height h
$P_{0}$ is the air pressure at sea level, and
h is the height (measured in meters).

We want to know the new pressure that is 65% of $P_0$ . So we should substitute $0.65P_0$ in P(h) (new pressure) to get the equation:

$0.65P_0=P_0e^{-0.00012h}$ . Answer choice B is the correct one.

ANSWER: B

4 0

2 years ago

Read 2 more answers