The zero mark on the number line represents Maya's home. The negative numbers represent the number of feet Maya

A farmer has a basket of peaches. He gives ⅓ of the peaches to one person, ¼ to another, ⅕ to another, ⅛ to another, and then gi

inessss [21]

Answer:

$\frac{1429}{120}$ or $11\frac{109}{120}$

Step-by-step explanation:

Given:

A farmer has a basket of peaches. He gives ⅓ of the peaches to one person, ¼ to another, ⅕ to another, ⅛ to another, and then gives 7 peaches to a 5th person.

Remaining peaches = 4

We need to find the original number of peaches in the basket.

The farmer gives the total number of peaches = $\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{8}+7$

Let x be the former gives the total number of peaches

We multiply and divide by 120 in right side of the above equation because of 120 is divided by all given denominator and then simplify.

$x = \frac{120}{120}(\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{8}+7)$

$x = \frac{1}{120}(\frac{120}{3}+\frac{120}{4}+\frac{120}{5}+\frac{120}{8}+7\times 120)$

$x = \frac{1}{120}(40+30+24+15+840)$

$x = \frac{1}{120}(949)$

$x = \frac{949}{120}$

We add the remaining peaches by given peaches for the original number of peaches in the basket.

Original number of peaches = $\frac{949}{120}+4$

Original number of peaches = $\frac{949+4\times 120}{120}$

Original number of peaches = $\frac{949+480}{120}$

Original number of peaches = $\frac{1429}{120}$

Original number of peaches = $11\frac{109}{120}$

Therefore the original number of peaches in the basket is $\frac{1429}{120}$ or $11\frac{109}{120}$

5 0

3 years ago

Sample spaces For each of the following, list the sample space and tell whether you think the events are equally likely:

Schach [20]

Answer and explanation:

To find : List the sample space and tell whether you think the events are equally likely ?

Solution :

a) Toss 2 coins; record the order of heads and tails.

Let H is getting head and t is getting tail.

When two coins are tossed the sample space is {HH,HT,TH,TT}.

Total number of outcome = 4

As the outcome HT is different from TH. Each outcome is unique.

Events are equally likely since their probabilities $\frac{1}{4}$ are same.

b) A family has 3 children; record the number of boys.

Let B denote boy and G denote girl.

If there are 3 children then the sample space is

{GGG,GGB,GBG,BGG,BBG,GBB,BGB,BBB}

The possible number of boys are 0,1,2 and 3.

Number of boys Favorable outcome Probability

0 GGG $\frac{1}{8}$

1 GGB,GBG,BGG $\frac{3}{8}$

2 GBB,BGB,BBG $\frac{3}{8}$

3 BBB $\frac{1}{8}$

Since the probabilities are not equal the events are not equally likely.

c) Flip a coin until you get a head or 3 consecutive tails; record each flip.

Getting a head in a trial is dependent on the previous toss.

Similarly getting 3 consecutive tails also dependent on previous toss.

Hence, the probabilities cannot be equal and events cannot be equally likely.

d) Roll two dice; record the larger number

The sample space of rolling two dice is

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Now we form a table that the number of time each number occurs as maximum number then we find probability,

Highest number Number of times Probability

1 1 $\frac{1}{36}$

2 3 $\frac{3}{36}$

3 5 $\frac{5}{36}$

4 7 $\frac{7}{36}$

5 9 $\frac{9}{36}$

6 11 $\frac{11}{36}$

Since the probabilities are not the same the events are not equally likely.

4 0

3 years ago

For what x value(s) does f(x)=2? HELP ANSWER FAST!!!!!!

GuDViN [60]

Answer:

x = 2

Step-by-step explanation:

Given

See attachment

Required

What is the value of x?

The vertical axis represents f(x) while the horizontal represents x.

From the attachment:

f(x) = 2 when x = 2

The circled point on attachment 2 represents the required point

<em>Assume that each box is 1 unit.</em>

5 0

3 years ago

Sarah plans to sell homemade birdhouses at the local craft fair. She spent $90 on new tools and estimates that she spends $6 in

Lapatulllka [165]

Answer: C
Y=90+6x/x

90 new tools + 6 dollars (x) over x dollars

5 0

3 years ago

Read 2 more answers

The quotient of a and 5

Butoxors [25]

Answer:

$\frac{a}{5}$

Step-by-step explanation:

That would be a divide by 5: $\frac{a}{5}$

7 0

3 years ago