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3 years ago

1. Describe the relationship between the terms in the sequence 13, 26, 52,

Mathematics

2 answers:

olga55 [171]3 years ago

5 0

Answer: 208, 416, 832

The numbers double by itself

Step-by-step explanation:

13+13 = 26, 26+26 = 52, 52+52 = 104, 104+104=208 and so on

Vilka [71]3 years ago

4 0

Answer: All of the numbers in the sequence are going up twice the amount as before. The next three terms will be 208, 416, 832

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The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions

AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

Step-by-step explanation:

Given that,

The Area of the rectangle is 273.

Step 1 :

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

Step 2 :

Area of the rectangle = length $\times$ width

273 = (2x - 5) x

273 = 2x^2 - 5x

Step 3 :

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

Step 4 :

Find the roots using factorizing method,

ac = 2 $\times$ -273 = -546 and b= -5

Factorizing -546 as -26 $\times$ 21

The product of -26 $\times$ 21 = -546

The sum of -26 + 21 = -5

Step 5 :

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

Step 6 :

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

= 2(10.5) - 5

= 21 - 5

length = 16 meters

5 0

3 years ago

Write an expression for the model. Find the sum. options: a) 2 + (–3); 1 b) –3 + 2; 5 c) 2 + 3; 5 d) 2 + (–3); –1

Dima020 [189]

Answer:

c) 2 + 3 = 5 TRUE

d) 2 + (–3) = -1 True

Step-by-step explanation:

When adding integers (positive and negative whole numbers), there are three cases:

Positive and positive increases and sum is positive. Ex. 4 + 6 = 10
Positive and negative where you subtract and take the sign of the larger number. Ex. 3 + -8 = -5 or -3 + 8 = 5
Negative and negative decrease and the sum if negative. Ex. -4 + -6 = -10.

Use these rules to simplify each expression.

a) 2 + (–3) = -1 not 1 FALSE

b) –3 + 2 = -1 not 5 FALSE

c) 2 + 3 = 5 TRUE

d) 2 + (–3) = -1 True

5 0

4 years ago

Scientists found the wreck of the titanic 3797 m below sea level. How many km below sea level is the wreck?

WINSTONCH [101]

We are given that the titanic is found 3,797 m below sea level. This is simply equivalent to 3.797 km or 3.8 km when rounded off to one decimal.

We should take note that the letter k in km means kilo and a kilo is equivalent to 1000. So this means that for 1 km there is exactly 1000 m. So to convert, simply multiply a value with unit m with this conversion factor. Conversion factor = 1 km / 1000 m

Depth of titanic = 3,797 m (1 km / 1000 m)

Depth of titanic = 3.797 km = 3.8 km

4 0

3 years ago

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OLga [1]

Answer:

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3 years ago

Which ratio is equivalent to the ratio 33.39

igomit [66]

Answer:

11:13

Step-by-step explanation:

The ratio 33:39 divided by 3 would give you 11:13

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3 years ago