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2 years ago

Brice has twice as many stamps in his collection as his friends Anthony and Paul

Mathematics

1 answer:

saveliy_v [14]2 years ago

5 0

Answer:

Anthony has 16 stamps.

Step-by-step explanation:

First you need to start off using the Equation 2(x + 32) = 96

Using the distributive property, distribute the 2. 2x + 64 = 96.

Then you would subtract 64 on both sides t get rid of 64. 2x = 32

To get x by itself you would divide 2 on each side. x= 16

16 Is how many stamps Anthony has and you can check this my adding Paul's stamps and multiplying by two, because Brice has twice the amount of them both combined.

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the expression below gives the cost of green beans(x) and cucumbers (y). what is the cause of 6 bunches of green beans and 4 cuc

kipiarov [429]

This is my explanation thus sucks and half the timem you guys dont even have the right answer . So this is my answer for you at leatst try to get it tight because if you dont try you wont suceed

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2 years ago

For the binomial expansion of (x + y)^10, the value of k in the term 210x 6y k is a) 6 b) 4 c) 5 d) 7

Sloan [31]

Answer:

a) 6

Step-by-step explanation:

Expanding the polynomial using the formula:

$(x+y)^n=\sum_{k=0}^n \binom{n}{k} x^{n-k} y^k$

Also

$\binom{n}{k}=\frac{n!}{(n-k)!k!}$

I think you mean $210x^6y^4$

We can deduce that this term will be located somewhere in the middle. So I will calculate $k= 5; k=6 \text{ and } k =7$ .

For $k=5$

$\binom{10}{5} (y)^{10-5} (x)^{5}=\frac{10!}{(10-5)! 5!}(y)^{5} (x)^{5}= \frac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5! }{5! \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 } \\ =\frac{30240}{120} =252 x^{5} y^{5}$

Note that we actually don't need to do all this process. There's no necessity to calculate the binomial, just $x^{n-k} y^k$

For $k=6$

$\binom{10}{6} \left(y\right)^{10-6} \left(x\right)^{6}=\frac{10!}{(10-6)! 6!}\left(y\right)^{4} \left(x\right)^{6}=210 x^{6} y^{4}$

5 0

2 years ago

2. A computer shop charges P20.00 per hour (or a fraction of an hour) for the first

Misha Larkins [42]

Answer:

(a) For 40 minutes the charge is P20.00

(b) For 3 hours the charge is P30.00

Step-by-step explanation:

The given parameters are;

The amount the computer shop charges for the first two hours = P20.00

The amount the computer shop charges for a fraction of an hour = P20.00

The amount the computer shop charges for each extra hour = P10.00

Therefore, the amount the computer shop will charge for each time, is given as follows;

(a) For 40 minutes, we have;

The duration of 40 minutes is less than two hours, therefore, the amount the computer shop will charge = P20.00

(b) For a duration of 3 hours, the amount the computer shop will charge is given by the following relation

The amount charged for the first two hours = P20.00

The amount charged for the next extra hour to make 3 hours = P10.00

The total amount charged for the 3 hours = P20.00 + P10.00 = P30.00

150 minutes = 2 hours 30 minutes

Therefore, the amount charged will be equivalent to the amount charged for 3 hours or P20.00 + P10.00 = P30.00.

4 0

2 years ago

If f(x) = − 5, what is f(8.6)?

harina [27]

8.6 = -5
13.6 = 0
There should be another x value in your equation above, but with what you listen this is correct.

5 0

2 years ago

Read 2 more answers

Julissa is running a 10-kilometer race at a constant pace. After running for 18 minutes, she completes 2 kilometers. After runni

trasher [3.6K]

For this case, the first thing we must do is define variables.

We have then:

t: the time in minutes

k: the number of kilometers

The relationship between both variables is direct.

Therefore, the function is:

$k (t) = c * t$

Where, "c" is a constant of proportionality.

To determine "c" we use the following data:

After running for 18 minutes, she completes 2 kilometers.

Substituting values:

$2 = c * 18$

Clearing c we have:

$c = \frac{2}{18}$

$c = \frac{1}{9}$

Then, the equation is given by:

$k (t) = \frac{1}{9} * t$

Answer:

An equation that can be used to represent k, the number of kilometers Julissa runs in t minutes is:

$k (t) = \frac{1}{9} * t$

7 0

2 years ago

Read 2 more answers