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STatiana [176]
3 years ago
12

A gym teacher orders 42 tennis balls. Each package contains three tennis balls. Which of the following equations represents the

number X of packages? X+ 3=42 3x= 42 x/3= 42 or x=3/42
Mathematics
1 answer:
navik [9.2K]3 years ago
8 0
42 balls / 3 balls per package Equals 14 packages
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EXTRA POINTS!
antiseptic1488 [7]

Answer:

y = 15

Step-by-step explanation:

angle poq + angle qor equals mpor (120)

4y + 3y + 15= 120

7y+15=120

subtract 15 from both sides

7y=150

divide both sides by 7

y=15

check:

4(15) + 3(15) + 15 equals 120

60 + 45 + 15 = 120

120 = 120

7 0
3 years ago
In a doctor's waiting room, there are 14 seats in a row. Eight people are waiting to be seated. Three of the 8 are in one family
lianna [129]
There are 14 chairs and  8 people to be seated. But among the 8. three will be seated together:

So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆  x 3! 

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways

So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:

Total number of permutation = 2,162,160 x 6 = 12,972,960

4 0
3 years ago
5. Mrs.Weed's puppy weighed o.236 kg when it was born. At the next check-up it weighed 0.37 kg. How much weight had it gained?
musickatia [10]

Answer:

5.) 0.134 kg.

6.) 6.15 km.

7.) 5.9 kg.

Step-by-step explanation:

5.) 0.37 - 0.236 = 0.134

6.) 9.71 - 3.56 = 6.15

7.) 1.7 + 4.2 = 5.9

5 0
3 years ago
I need help with these two problems
erastova [34]
Number 5 is 15.9 kilograms

And number 6 is 6 million cubic feet per minute

You just cross multiply
5 0
3 years ago
What is the lowest value in the set of data represented by the following box-and-whisker plot?
Sever21 [200]
D.11.5 because when you bring the line and the dot it is 11.5
8 0
3 years ago
Read 2 more answers
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