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3 years ago

- Paul wants to figure out the fuel consumption of his new SUV in the city. He made

Mathematics

1 answer:

Vesnalui [34]3 years ago

8 0

Answer:

a.15.1 L/100 km; b $72.75; c. $51.34

Step-by-step explanation:

(a) Fuel consumption

Fuel used = 75 L

Distance travelled = 6096 km - 5600 km = 496 km

$\text{Fuel consumption} = \dfrac{\text{75 L}}{\text{496 km}} \times \dfrac{\text{ 100 km}}{\text{100 km}} = \dfrac{\text{15.1 L}}{\text{100 km}}$

(b) Cost to fill tank

$\text{Cost} = \text{75 L} \times \dfrac{\text{\$0.97}}{\text{1 L}} = \$72.75$

(c) Cost per week

i. Calculate the volume of gasoline

$\text{Volume} = \text{350 km} \times \dfrac{\text{75 L}}{\text{496 km}} = \text{52.9 L}$

ii. Calculate its cost

$\text{Cost} = \text{52.9 L} \times \dfrac{\text{\$0.97}}{\text{1 L}} = \$51.34$

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The numbers x and y are inversely proportional. When the sum of x and y is 42, x is twice y. What is the value of y when x = -8?

dolphi86 [110]

Answer:

y= -4

Step-by-step explanation:

x+y=42. We know that x plus y equals 42.

x=2y . We also know that x equals twice y.

2y+y=42. Since we know that x=2y, we're going to replace x with 2y from the original equation, simplified would be 3y=42.

y=14. 3y=42 simplified is y=14, this is because we divided both sides by 3 (since 3 and 42 are both divisible by 3) (btw divisible by 3 simply means that it can be divided by 3)

x+14=42. Now that we know what y equals, let's replace y with 14 from the original equation.

x=28. Now that we know that x=28 and y=14, we know that y is always x/2.

When x=-8, we divide it by 2 and get, -4.

Not absolutely positive as this was all mental math, but hope this helps! :)

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4 years ago

Apopulation grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.a) Write a function to model the

solong [7]

Answer:

a) $P(t) = 22000(1.071)^{t}$

b) The population increases 7.1% each year.

Step-by-step explanation:

The continuous population growth model is given by:

$P(t) = P_{0}(1+r)^{t}$

In which $P(t)$ is the population after t years, $P_{0}$ is the initial population and r is the growth rate.

In this problem, we have that:

A population grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.

This means that $P_{0} = 22000, r = 0.071$

a) Write a function to model the population increase.

$P(t) = 22000(1 + 0.071)~{t}$

$P(t) = 22000(1.071)^{t}$

b) By what percent does the populaiion increase each year?

$r = 0.071$

So the population increases 7.1% each year.

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3 years ago

A rectangular wall measures 1,620 centimeters by 68 centimeters. need the area of the wall

marin [14]

Rectangular area = l*b = 1620* 68 = 110160 cm² = 11.016 m²

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3 years ago

I need this answered

Ilya [14]

Hope this makes sense! It was too hard to type out lol. The one on the left is how it is solved the and one on the right kinda explains how I got the equation.

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3 years ago

Which algebraic expression means “three more than a number squared”? 2 n + 3 2 n minus 3 n squared + 3 n squared minus 3

kap26 [50]

Answer:

$n^{2} +3$

Step-by-step explanation:

we have n squared, which is at the beginning, and then three more than that would be +3

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3 years ago

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