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FromTheMoon [43]
3 years ago
11

Oliver’s family planted a tree on his 1st birthday. Each year the tree grows about the same amount. Oliver’s

Mathematics
1 answer:
pickupchik [31]3 years ago
7 0

Answer:8

Step-by-step explanation:

You might be interested in
Two buses leave a station at the same time and travel in opposite directions. One bus travels
natima [27]

Answer:

63 miles per hour

54 miles per hour

Step-by-step explanation:

Let the two buses be represented as bus A and bus B.

bus A and bus B leave a station at the same time and travel in opposite directions.

Let the speed of bus A be A miles per hour.

Let the speed of bus B be B miles per hour.

One bus travels 9 miles/hour slower than the other.

Let bus A be the faster bus.

This means that the speed of bus B is B = A - 9

If the two buses are 585 miles apart after 5hours, this means that after 5hours, the total distance travelled by bus A and bus B is 585 miles.

Distance travelled by bus A in 5 hours = speed × time = 5A

Distance travelled by bus B in 5 hours = speed × time = 5B

5A + 5B = 585 - - - - - -1

Substituting B = A - 9 in equation 1

5A + 5(A - 9) = 585

5A + 5A - 45 = 585

10A = 585 + 45 = 630

A = 630/10 = 63 miles per hour

B = A - 9 = 63 - 9 = 54 miles per hour

4 0
3 years ago
The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. what would
svlad2 [7]

Answer:

The population in 2005 is 59,535 people.

Step-by-step explanation:

Annum means annually or yearly. We assume the rate has been consistent. To calculate percentage, take the percent in decimal form. 5% is 0.05 (like 17% is 0.17, and 50% 0.5). 5% is actually 5 hundredths of a number. Multiply this by the number you want the percentage of. 54,000*0.05=2,700. This is how much the population grows from 2003 to 2004.

There is a very common mistake people make after this, which is simply doubling that number and adding to the population. This is incorrect because if it grows 5% yearly, the yearly population CHANGES. The question would change if it were 2004 to 2005. Ask your teacher for clarification if this sounds wrong (if it is, do what I said above, the answer would be 59,400 people).

So, the population in 2004 is 54,000+2,700=56,700. Now, find 5% of the population in 2004 using the same method as before. 56,700*0.05=2,835. Add the growth to the pervious population. 56,700+2,835=59,535.

The population in 2005 is 59,535 people.

7 0
2 years ago
A recipe has a ratio of 1 1/2 cups of cheese to 6 oz. of pasta. Based on this recipe, which statement is true?
yarga [219]

The ratio is 1 1/2 cups of cheese to 6 oz of pasta. All statements have 1 cup of cheese, so let's find the corresponding amount of pasta using a rule of three:

\begin{gathered} 1\frac{1}{2}\text{ cups cheese}\to6\text{ oz pasta} \\ 1\text{ cup cheese}\to x\text{ oz pasta} \\  \\ \frac{1\frac{1}{2}}{1}=\frac{6}{x} \\ \frac{3}{2}=\frac{6}{x} \\ 3x=12 \\ x=4 \end{gathered}

So the amount of pasta is 4 oz, therefore the correct statement is B.

5 0
1 year ago
The local rodeo has a circular Pin , with a diameter of 48 feet , in which keep the horses what is the circumference or the hors
Alchen [17]

Answer:

The circumference of the horse pin is 150.86 feet

Step-by-step explanation:

In this question, we are to calculate the circumference of the horse pin, given that the diameter is 48 feet.

Mathematically, the circumference can be calculated using the formula

C = 2 * pi * r

where r = D/2 = 48/2 = 24 feet

The circumference C is thus = 2 * 22/7 * 24 = 1056/7 = 150.86 feet

4 0
3 years ago
Write the following as a complex number in the form a + bi square root -245
Pepsi [2]

Answer:

Step-by-step explanation:

√(-245)=√(49×5×i^2)=7√5 i=0+7√5 i

5 0
3 years ago
Read 2 more answers
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