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3 years ago

Karl has stamps in his desk drawer. The possible combinations of stamps are shown below in the attachment.

Mathematics

2 answers:

Setler [38]3 years ago

6 0

<span>In the question "Karl has stamps in his desk drawer. The possible combinations of stamps are shown below in the attachment. Which statement about the stamps is correct?" The correct answer is "The total number of stamps is 35." This is because the sums of the different combinations of the 45 cents stamps and 65 cents stamps are 35. i.e. 18 + 17 = 35 20 + 15 = 35 22 + 13 = 35 25 + 10 = 35</span>

ArbitrLikvidat [17]3 years ago

4 0

The table gives the different combinations of stamps Karl has

the first option says that

a. The total number of stamps is 25.

according to this the addition of stamps for each combination should be 25

1st combination is 18 + 17 = 35

therefore this statement is wrong as the addition of stamps is 35 stamps

b. The total value of the stamps is $18.75.

lets check the first combination

18 x $ 0.45 + 17 x $ 0.65 = 8.1 + 11.05 = $19.15

so this statement too is wrong

c. The total number of stamps is 35.

as calculated above we know that the sum of the stamps in the first combination is 35

so lets check for the other combinations

20 + 15 = 35

22 + 13 = 35

25 + 10 = 35

so the answer is 35

this statement is correct

d.The total value of the stamps is $19.15

lets check the value for the third combination

22 x 0.45 + 13 x 0.65 = 9.9 + 8.45 = $18.35

this value isnt equal to $ 19.15

therefore this statement too is wrong

correct answer is C

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3 years ago

A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determ

dezoksy [38]

For the answer to the question above, the probability that Eduardo pulls out a girl the first time is 16/26 (26 - 10 = 16) which means that pulling out a girl a second time would be 15/25. To find out the probability of both, you have to multiply the fractions together. So (16 × 15)/(25 × 26) which is 240/650. You can simplify this to 24/65, and I believe that is the furthest you can simplify it, which means that the answer is 24/65, I hope this helps!

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3 years ago

Read 2 more answers

Through: (4,4), slope<br> 9/4

faltersainse [42]

Answer:

y - 4 = (9/4)(x - 4)

Step-by-step explanation:

Here we're given the slope (9/4) of a line and one point (4, 4) on the line. The easiest form of the equation of a straight line to use here is the point-slope form:

y - k = m(x - h).

Here h = 4 and k = 4; the slope is m = 9/4.

Thus, the desired equation is

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3 years ago

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Sholpan [36]

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3 years ago

From 1990 to 2000, the population of Florida increased by 2.13% per year. The population (in millions) in the year 1990 was 16 E

belka [17]

Answer:

19 million

Step-by-step explanation:

So generally whenever we express a exponential function, it's in the form: $y=a(b)^x$

where a=initial value aka when x=0

in this case, b can be expressed as: $1+r$ , where r is the growth rate, which in this case is 2.13%, and expressing that as a decimal (divide by 100), r=0.0213, thus b=1.0213

This gives us the following equation: $y=16(1.0213)^x$

To kind of give you a intuitive reason as to why this makes sense, think of that 1.0213 wrapping around the previous value.

So when x=0, it's actually just 16, since any number (besides 0) to the power of 0, equals 1.

When x=1, we get: $1.0213(16)$ , which can be expressed as a 2.13% increase from year 0

When x=2, we get: $1.0213(1.0213(16))$ , which can be expressed as a 2.13% increase from year 1

when x=3, we get: $1.0213(1.0213(1.0213(16)))$ , which can be expressed as a 2.13% increase from year 2.

In other words, each year we're getting another 1.0213 to multiply by (very definition of an exponent).

So to calculate the population in 1997, we put in x=7, since it's 7 years after 1990

We get the following equation: $y=16(1.0213)^7$

Using a calculator this simplifies to approximately: $18.5436$

Rounding this to the nearest integer would yield 19, and since the values are expressed in millions, the answer would be 19 million

4 0

2 years ago