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2 years ago

A scale drawing of Jerome's living room is shown below:

Mathematics

2 answers:

weeeeeb [17]2 years ago

7 0

The answer is C because If it is 2 cm=6 ft then, 3*6=18 and 4*6=24.

olga nikolaevna [1]2 years ago

7 0

Answer:

here give the other person brainlest!

Step-by-step explanation:

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Problem 9

lapo4ka [179]

Answer:

3:36PM

Step-by-step explanation:

Leon starts at 12PM with 12 gallons of gas, and after 2 hours he has used 5 gallons of gas. This means that every 2 hours he uses 5 gallons of gas.

Next we will find at what point Leon will stop to get gas. Since he will stop when the tank is at $\frac{1}{4}$ capacity, we can use the equation:

$\frac{1}{4} * 12 = \boxed{3}$

This shows $\frac{1}{4}$ of his tank's capacity ( $12$ ) is equal to $3$ gallons. This means he will stop for gas when $3$ gallons are remaining.

Now we need to find how many gallons of gas he uses, but as a unit rate. (This will allow us to find what time Leon will stop to get gas.) To find the unit rate, we will need to find how many gallons of gas he uses per hour.

$\frac{\mbox{5 gallons}}{\mbox{2 hours}} = \frac{\mbox{2.5 gallons}}{\mbox{1 hours}}$

This is a simple proportion, and now we know he uses $2.5$ gallons of gas per hour.

Now we can how many hours of gas Leon has left.

He has $7$ gallons of gas left at 2PM, so we can divide to find how many hours left of gas he has.

$\frac{7-3}{2.5} = 1.6$

The $7-3$ is because Leon doesn't stop when his tank is empty, he stops $3$ gallons earlier. We are dividing by $2.5$ because that is how much gas he uses per hour, meaning the result of this division ( $1.6$ ) is how many hours he has left.

Now we can solve for what time Leon will stop to get gas.

12PM + $2$ hours of driving + the remaining $1.6$ hours = 3:36PM

( $1.6$ hours is equal to 1 hour and 36 minutes)

Therefore, Leon will stop for gas at 3:36PM

8 0

2 years ago

14. The area of 10 square plots is 160 ares. Find the length in metres of the side of each plot (3mks)

VashaNatasha [74]

Answer:

Step-by-step explanation:

1 are = 100 m²

Assuming the ten squares are congruent, the area of each square is 160/10 = 16 are

16 are × 100 m²/are = 1600 m²

each side is √1600 = 40 m

7 0

3 years ago

A village was founded four hundred years ago by a group of 20 people. In this village, the population triples every one hundred

Paha777 [63]

Answer:

Step-by-step explanation:

Treat this like compound interest: Use A = P(1 + r)^t.

Here, P is the initial population and A is 3 times that, or 3P. Since P = 20 people, 3P = 60 people,

and this population is reached after 100 years.

We need to determine r, substitute its value into the formula A = P(1 + r)^t, and then determine the population of the village after 400 years.

60 = 20(1 + r)^100

Simplifying, 3 = (1 + r)^100.

Taking the natural log of both sides,

ln 3 = 100 ln (1 + r), or

ln 3

ln (1 + r) = ---------------

100

= 1.0986 / 100 = 0.01986

We must solve this for r. Raising e to the power ln (1 + r), on the left side of an equation, and raising e to the power 0. 01986 on the right side, we get:

1 + r = 3, so r must = 2.

Now find the pop of the village today. Use the same equation: A = P (1+r)^t.

A = 20(1 +2)^4 (hundreds),

A = 20(3)^4, or

A = 81

The population after 400 years is 81.

8 0

2 years ago

Can't really find the answer. Any help?

prisoha [69]

a) you need to convert one of the prices so both of them are in the same units and you can compare them.

im going to convert the Japanese Yen into Euros as the numbers will be smaller but you can also do it the other way.

£1 = 188 japanese yen

?? = 39856 japanese yen

divide 39856 by 188 to get £212

this means 39856 Japanese Yen is equal to £212

then convert this into euros.

£1 = €1.41

£212 = ???

calculate 212 × 1.41 which gives you €298.92

this means 39856 Japanese Yen is equal to €298.92

the phone in Spain costs €352.50

this shows that the phone in Spain is more expensive than the one in Japan.

therefore, the mobile phone in Japan is cheaper.

b) from Part A, we know that the phone in Japan is 39856 Japanese Yen, which is equal to £212.

so now we need to convert €352.50 into Pounds (£) to compare the prices.

£1 = €1.41

?? = €352.50

divide 352.50 by 1.41 to get £250.

this means the phone in Spain costs £250 as €352.50 is equal to £250.

now we know the phone in Japan is £212 (in pounds) whereas the phone in Spain is £250 (in pounds).

we need to calculate the difference by doing £250 - £212 which equals £38

therefore, the phone in Japan is cheaper than the phone in Spain by £38

7 0

3 years ago

Solve for f(2)<br>f(x) =-4x+3<br>f(2)=-4(2)+3<br>f(2)=?

Mila [183]

The answer would be -11

5 0

3 years ago