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3 years ago

What is 10 15/4 equivalent to

Mathematics

1 answer:

GrogVix [38]3 years ago

7 0

Answer:

(10×4 +15) / 4

(40+15) / 4

55/4

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Every real number is irrational this is true

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3 years ago

Use the number line to add or subbtract integers please help me with this

Digiron [165]

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a)=+2 b)=1

Step-by-step explanation:

A positive plus a negative is equal to a positive a

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3 years ago

Select the better deal in the pair. Then give the unit rate for the better deal.

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its the first one and its 3.24

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2 years ago

The actual length (1) of a rectangle is 122 inches. Use the scale drawing of the rectangle to find the actual width (w).

Natalija [7]

Answer:

B. 36 in.

Step-by-step explanation:

Length of the scale drawing (L) = 6.1 in.

Width of the scale drawing (W) = 1.8 in.

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Using the scale drawing we can apply the rules of three of proportions to find the actual width.

Thus, set the ratio of the scale drawing length to width, equal to the ratio of the actual length to width:

$\frac{6.1}{1.8} = \frac{122}{x}$

Cross multiply

$6.1*x = 122*1.8$

Divide both sides by 6.1

$x = \frac{122*1.8}{6.1}$

$x = 36$

Actual width of the rectangle = 36 in.

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3 years ago

Mathematical induction of 3k-1 ≥ 4k ( 3k = k power of 3 )

tresset_1 [31]

For making mathematical induction, we need:

a base case

An $n_0$ for which the relation holds true

the induction step

if its true for $n_i$ , then, is true for $n_{i+1}$

the relationship is not true for 1 or 2

$1^3-1 = 0 < 4*1$

$2^3-1 = 8 -1 = 7 < 4*2 = 8$

but, is true for 3

$3^3-1 = 27 -1 = 26 > 4*3 = 12$

<h3>induction step</h3>

lets say that the relationship is true for n, this is

$n^3 -1 \ge 4 n$

lets add 4 on each side, this is

$n^3 -1 + 4 \ge 4 n + 4$

$n^3 + 3 \ge 4 (n + 1)$

now

$(n+1)^3 = n^3 +3 n^2 + 3 n + 1$

$(n+1)^3 \ge n^3 + 3 n$

if $n \ge 1$ then $3 n \ge 3$ , so

$(n+1)^3 \ge n^3 + 3 n \ge n^3 + 3$

$(n+1)^3 \ge n^3 + 3 \ge 4 (n + 1)$

$(n+1)^3 \ge 4 (n + 1)$

and this is what we were looking for!

So, for any natural equal or greater than 3, the relationship is true.

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3 years ago

What is 10 15/4 equivalent to​

What is 10 15/4 equivalent to