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3 years ago

Which expression represents the difference of nine and half a number?

Mathematics

1 answer:

zubka84 [21]3 years ago

5 0

Step-by-step explanation:

$n-\text{a number}\\\\\dfrac{1}{2}n=0.5n=\dfrac{n}{2}-\text{half a number}\\\\\text{The difference of nine and half of number:}\\\\\huge\boxed{9-\dfrac{1}{2}n=9-0.5n=9-\dfrac{n}{2}}$

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Moby sold half his toy car collection, and then bought 12 more cars the next day. He now has 48 toy cars. How many cars did he h

castortr0y [4]

Answer: 72 cars.

Step-by-step explanation:

Let be "x" the number of toys that Moby had to start with.

According to the information given in the exercise, Moby sold half his toy car collection. This can be represented with the following expression:

$\frac{1}{2}x$

Then he bought 12 more cars, giving a total amount of 48 toy cars.

Therefore, the equation that represents this situation is the equation shown below:

$x-\frac{1}{2}x+12=48$

Now you must solve for "x" in order to find its value.

You get that this is:

$\frac{1}{2}x+12=48\\\\\frac{1}{2}x=48-12\\\\\frac{1}{2}x=36\\\\x=(36)(2)\\\\x=72$

7 0

4 years ago

A coin is tossed 5 times. Find the probability that all are heads. Find the probability that at most 2 are heads.

fenix001 [56]

Answer:

1/32

15/32

Step-by-step explanation:

For a fair sided coin,

Probability of heads, P(H) = 1/2

Probability of tails P(T) = 1/2

For a coin tossed 5 times,

P( All heads)

= P(HHHHH),

= P (H) x P(H) x P(H) x P(H) x P(H)

= (1/2) x (1/2) x (1/2) x (1/2) x (1/2)

= 1/32 (Ans)

For part B, it is easier to just list the possible outcomes for

"at most 2 heads" aka "could be 1 head" or "could be 2 heads"

"One Head" Outcomes:

P(HTTTT), P(THTTT) P(TTHTT), P(TTTHT), P(TTTTH)

"2 Heads" Outcomes:

P(HHTTT), P(HTHTT), P(HTTHT), P(HTTTH), P(THHTT), P(THTHT), P(THTTH), P(TTHHT), P(TTHTH), P(TTTHH)

If we count all the possible outcomes, we get 15 possible outcomes representing "at most 2 heads)

we know that each outcome has a probability of 1/32

hence 15 outcomes for "at most 2 heads" have a probability of

(1/32) x 15 = 15/32

8 0

3 years ago

Read 2 more answers

The first term of a geometric sequence is 4 and the multiplier, or ratio, is 2. what is the sum of the first 5 terms of the sequ

miss Akunina [59]

Hi,
There must have a bug on the site !!!

LoveYourselfFirst deleted your answer to the question
"Hello,Answer
=1244+8+16+32+64=124 6 minutes ago"
<span>The first term of a geometric sequence is 4 and the multiplier, or ratio, is 2. what is the sum of the first 5 terms of the sequence?
</span>
$a_1=4\\
a_2=2*a_1=8\\
a_3=2*a_2=2^2*a_1=4*4=16\\
a_4=2^3*a_1=8*4=32\\
a_5=2^4*a_1=16*4=64\\

4+8+16+32+64=124

$

<span />

5 0

3 years ago

Alaina is selling wreaths and poinsettias for her chorus fundraiser. Wreaths cost $27 each poinsettias cost $20 each. If she sol

sleet_krkn [62]

Answer:

20$ × 15 = 300

543- 300= 243

243÷ 27= 9

she sold 9 wreaths

Step-by-step explanation:

4 0

3 years ago