Sam is 5 years older than Mike. In 6 years, Mike will be 7 more than half of Sam's age. How old is Sam now?

Vern has just opened a flower shop. Because of the startup costs, for the next month his net earnings for each bouquet are −$2.5

Basile [38]

Answer:

-$200

Step-by-step explanation:

Given that:

Net earning per bouquet for the month= - $2.50

On a particular day of the month, 20 bouquet was sold ;

Net earning for the day:

Net earning per bouquet * number of bouquet

-$2.50 * 80

= $200

Hence, net earning for Tuesday = - $200

6 0

3 years ago

Marcus ate half of a pizza on Monday night. He then ate one third of the remaining pizza on Tuesday. Which of the following expr

Strike441 [17]

Option E

The expression show how much pizza Marcus ate in total is:

$Total = \frac{1}{2} + \frac{1}{3} \times \frac{1}{2}$

Solution:

Given that,

Marcus ate half of a pizza on Monday night

He then ate one third of the remaining pizza on Tuesday

Therefore,

$Monday\ night = \frac{1}{2}\\$

Remaining is given as:

$Remaining = 1 - \frac{1}{2} = \frac{1}{2}$

He then ate one third of the remaining pizza on Tuesday

Therefore,

$Tuesday = \frac{1}{3} \times \frac{1}{2}$

Thus expressions show how much pizza Marcus ate in total is:

Total = monday night + tuesday

$Total = \frac{1}{2} + \frac{1}{3} \times \frac{1}{2}$

Thus Option E is correct

3 0

3 years ago

R + 12 = 86 what does r equal ?

AVprozaik [17]

86 - 12 = 74

74 + 12 = 86

5 0

3 years ago

Read 2 more answers

PLSSSS HELPP ASSPPPP!!!!

Rina8888 [55]

Answer:

33 gallons

Step-by-step explanation:

44/20 = 2.2

$2.2 per gallon

2.2x15

4 0

3 years ago

Read 2 more answers

A city hosted a music festival that included three concerts. According to the sales database, 28% of the audience attended the f

Vitek1552 [10]

Answer:

$P(X\cap Y\cap Z)=0.05$

Step-by-step explanation:

From the question we are told that:

Percentage of audience in first concert $P(X)=0.28$

Percentage of audience in second concert $P(Y)=0.42$

Percentage of audience in third concert $P(Z)=0.30$

Audience Percentage at at-least one concert $P(X \cup Y \cup Z)=0.80$

Percentage of audience at first & second concert $P(X \cap Y)=0.10$

Percentage of audience in first & third concert $P(X \cap Z)=0.08$

Percentage of audience in second & third concert $P(Y\cap Z)=0.07$

Generally the equation for probability of attending all concerts $P(X\cap Y\cap Z)$ is mathematically given by

$P(X \cup Y \cup Z)=P(X)+P(Y)+P(Z)-P(X \cap Y)-P(X \cap Z)-P(Y\cap Z)+P(X\cap Y\cap Z)$

$P(X\cap Y\cap Z)=P(X \cup Y \cup Z)-P(X)-P(Y)-P(Z)+P(X \cap Y)+P(X \cap Z)+P(Y\cap Z)$

$P(X\cap Y\cap Z)=0.80-0.28-0.42-0.30+0.10+0.80+0.70$

$P(X\cap Y\cap Z)=0.05$

Therefore the probability that a randomly selected audient attended all the concerts

$P(X\cap Y\cap Z)=0.05$

8 0

3 years ago