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3 years ago

A tank is being filled with water at a rate of 5.5 gallons per

Mathematics

2 answers:

Sonja [21]3 years ago

6 0

Arithmetic sqaure: a + (n-1) * d

<em> </em><u><em>where "a" is the first term, "d" is the common difference</em></u>

Here given:

a = 10 gallons

d = 5.5 gallons

nth term: 10 + (n-1) * 5.5

<u>Solve for first 5 terms</u>:

10 + (1-1) * 5.5 = 10

10 + (2-1) * 5.5 = 15.5

10 + (3-1) * 5.5 = 21

10 + (4-1) * 5.5 = 26.5

10 + (5-1) * 5.5 = 32

first five terms: 10, 15.5, 21, 26.5, 32

irinina [24]3 years ago

6 0

First term=a=10
common difference a=5.5

General formula

a_n=a+(n-1)d
a_n=10+(n-1)5.5

a_1=10
a_2=10+5.5=15.5
a_3=10+11=21
a_4=10+16.5=26.5
a_5=10+22=32
a_6=10+27.5=37.5

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A pile of sand has a weight of 90 kg. The sand is put into a small bag,a medium bag and a large bag in the ratio 2 : 3 : 7. What

tekilochka [14]

Hi there:)
Total ratio
2+3+7=12
Now find the weight of sand in each bag

Small bag
90×(2÷12)
=15 kg
Medium bag
90×(3÷12)
=22.5
Large bag
90×(7÷12)
=52.5

Hope it helps

4 0

3 years ago

Read 2 more answers

A) In a group of 60 students, 15 liked maths only, 20 liked science only and 5 did not like

Paladinen [302]

Part (i)

We have 60 students total, and 5 didn't like any of the two subjects, so that must mean 60-5 = 55 students liked at least one subject.

<h3>Answer: 55</h3>

=========================================================

Part (ii)

We have 15 who like math only, 20 who like science only, and 55 who like either (or both). Let x be the number of people who like both classes.

We can then say

15+20+x = 55

x+35 = 55

x = 55-35

x = 20

This means 20 people liked both subjects

<h3>Answer: 20</h3>

=========================================================

Part (iii)

There are 15 people who like math only, and 20 who like both. Therefore, there are 15+20 = 35 people who like math (and some of these people also like science)

<h3>Answer: 35</h3>

=========================================================

Part (iv)

We'll follow the same idea as the previous part. There are 20 people who like science only and 20 who like both subjects. That yields 40 people total who like science (and some of these people also like math).

<h3>Answer: 40</h3>

=========================================================

Part (v)

We'll draw a rectangle to represent the entire group of 60 students. This is considered the universal set. Inside the rectangle will be two overlapping circles to represent math (M) and science (S).

We'll have 15 go in circle M, but outside circle S to represent the 15 people who like math only. Then we have 20 go in circle S but outside circle M to show the 20 people who like science only. We have another copy of 20 go in the overlapped region between the circles. This is the 20 people who like both classes. And finally, we have 5 go outside both circles, but inside the rectangle. These are the 5 people who don't like either subject.

Note how all of the values in the diagram add up to 60

15+20+20+5 = 60

This helps confirm we have the correct values.

<h3>Answer: See the venn diagram below</h3>

3 0

3 years ago

Witch of the following properties can be used to show that the expression 4^5/3 is equivalent to ^3√4^5

xz_007 [3.2K]

Step-by-step explanation:

I think so option b Is answer

8 0

3 years ago

Ok really need hellp hear

Nuetrik [128]

Answer:

2/3 is the answer..

Step-by-step explanation:

becaue 2 holes then 2/3s is not filled trust me!!! plz give brainliest and a thanks!!!!

6 0

3 years ago

Ms. Aniston asked seven students in her class to collect pet food cans for a local animal shelter. The dot plot shows the number

Firlakuza [10]

The answer is 7

you want to take your line plot and write each number on it as many times as the dots appear above it. since you have 7 numbers the center would be the 4th one. in order out of these numbers the 7 occurs fourth then giving you your answer.

7 0

3 years ago