All categories

3 years ago

Perform the following tasks:

Mathematics

2 answers:

maxonik [38]3 years ago

6 0

Answer:

1. Simplify the ratio 4 : 22 : 30

Dividing by 2;

2 : 11 : 15

2. Complete the pattern: {486, 162, 54, 18, ___}

We can solve this easily by starting from 18.

First lets check the relation between 18 and 54. Its $18\times3=54$

We have found a relation between the two numbers. Lets check if this works for another numbers.

$54\times3=162$

So, we can say that the series is decreasing by 3 times.

So, the missing number will be : 6

{486, 162, 54, 18, 6}

Mice21 [21]3 years ago

4 0

1. We may simplify the given extended ratio by dividing the numbers with their GCF. The GCF of the given is 2. Thus, the simplified form is,
2: 11: 15
2. The given sequence is a geometric sequence with a common ratio of 1/3. Therefore, following the number 18 is number 6.

You might be interested in

Figure S was drawn first and figure T was drawn second. What is the scale factor?

Morgarella [4.7K]

Answer:

The answer would be B

Step-by-step explanation:

All you have to do is multiply to see what its multiplied by to get the sizes of T Which is all by 4 so your answer is B

5 0

3 years ago

on a blueprint, the area of a tennis court is 16.25cm². a) if the scale on the blueprint is 1cm: 4m, what is the actual area of

Mars2501 [29]

Step-by-step explanation:

so,

1cm : 4m

that means the factor is 1/400 (as 1 m = 100 cm).

also to remember : 1 m² = 100cm×100cm = 10,000 cm²

the area of a rectangle is

length × width

if both dimensions are shortened by a factor (1/400) in our case :

length×1/400 × width×1/400 =

= length × width × 1/400² = length × width × 1/160,000

that means the area of the actual tennis court is

160,000 times the area of the blueprint picture :

160,000 × 16.25 = 2,600,000 cm² = 260 m²

we now know that the actual length of the tennis court is 400 times the length of the blueprint length :

400 × 6.25 = 2,500 cm = 25 m

7 0

3 years ago

How many pairs of whole numbers have a sum of 110

katovenus [111]

1 + 109
2 + 108
3 + 107
4 + 106
(...)
106 + 4
107 + 3
108 + 2
109 + 1

There are 109 such pairs - unless you don't want to count the combinations of the same numbers but in different order (e.g. 50 + 60 and 60 + 50) - then there are 55 such pairs (up to 55 + 55).

You can also count 0 - sometimes we treat it as a whole number, sometimes we don't - then add two pairs (0 + 110 and 110 + 0) to the 109 pairs result, or 1 pair for 55 pairs result.

I hope it's quite understandable :)

8 0

4 years ago

the length of a rectangular Garden is 24 ft and the width is 12 ft what is the ratio of length to width of the garden

Readme [11.4K]

L=24

W=12

So L:W=24:12=2:1

4 0

4 years ago

Read 2 more answers

An economist wants to predict the Gini of the US by Year. Select the answer choice that correctly interprets R-Squared. Group of

olga55 [171]

Answer:

0.451751 is the proportion of variability of Gini Coefficient explained by our least squares lines

Step-by-step explanation:

Given

$R\ squared = 0.451751$

To predict: Gini by year

Required

Interpret the R squared

In statistics, r squared measures the extent to which the variance of one variable explains the variance of the other variable.

In this question, the variable to predict is Gini:

From the list of options, (c) is correct

5 0

3 years ago