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2 years ago

Write an equivalent expression for n x a using only addition

Mathematics

2 answers:

bulgar [2K]2 years ago

7 0

Answer:

Equivalent expression for n x a = a+ a+a+a....n times

Step-by-step explanation:

Given: Expression for n x a .

To find : Write an equivalent expression for n x a using only addition.

Solution : We have given that n x a .

Here, we can say Sum of a is n times.

We can rewrite it n x a = a+ a+a+a....n times.

Example : 3 x 2 = 2 +2+ 2.

6 = 6 ( true)

Therefore , equivalent expression for n x a = a+ a+a+a....n times.

Crazy boy [7]2 years ago

6 0

Suppose that n and a are two real and integers.
We have then that we can rewrite an expression of the form:
$n * a
$
As the sum of "a" times "n".
For example:
For n = 4 and a = 3 we have:
$4 * 3 = 12
$
Equivalently we have:
$4 * 3 = 4 + 4 + 4 = 12$

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In triangle RST, U is the midpoint of RS, V is the midpoint of ST, and W is the midpoint of TR. Use the triangle diagram to answ

Zolol [24]

(1)

we are given

U is the midpoint of RS

and we have

$RU=12$

so, we can use formula

$RS=2RU$

we can plug values

$RS=2\times 12$

$RS=24$ ............Answer

(2)

V is the midpoint of ST

so, we get

$SV=VT$

now, we can plug values

$2x=11$

divide both sides by 2

$x=5.5$ .........Answer

(3)

now, we can find y

W is the midpoint of TR

so, we get

$RW=WT$

we can plug value

$15.9=3y$

divide both sides by 3

$y=5.3$

(4)

we can see that

triangles URW and RST are similar

so, their sides ratios must be equal

so, we get

$\frac{RW}{RT} =\frac{UW}{ST}$

we can plug values

$\frac{15.9}{2\times 15.9} =\frac{UW}{2VT}$

$\frac{15.9}{2\times 15.9} =\frac{UW}{2\times 11}$

$UW=22\times \frac{15.9}{2\times 15.9}$

$UW=11$ ...........Answer

(5)

we can see that

triangles SUV and RST are similar

so, their sides ratios must be equal

so, we get

$\frac{SU}{SR} =\frac{UV}{RT}$

now, we can plug values

$\frac{12}{2\times 12} =\frac{UV}{2\times 15.9}$

$UV=2\times 15.9\times \frac{12}{2\times 12}$

$UV=15.9$ .............Answer

4 0

1 year ago

Copy and complete each table.

LUCKY_DIMON [66]

Answer:

5th term of sequence = -18

nth term of the sequence = -5n + 7

Step-by-step explanation:

Difference between successive and previous term of the output,

$T_{2}-T_{1}$ = -3 - 2

= -5

Similarly, $T_{3}-T_{2}=-8-(-3)$

= -5

There is a common difference 'd' = (-5)

Therefore, the sequence formed will be an arithmetic sequence.

First term of the sequence 'a' = 2

Explicit formula of an arithmetic sequence, $T_{n}$ = a + (n - 1)d [n = input value]

$T_{n}$ = 2 + (n - 1)(-5)

= 2 - 5n + 5

= -5n + 7

5th term of this sequence,

$T_{5}=2+(5-1)(-5)$

= 2 - 20

= -18

Therefore, 5th term of sequence = -18

nth term of the sequence = -5n + 7

3 0

1 year ago

Mitchell travels from the US to Canada, where he exchanges 150 US dollars for Canadian dollars. He then spends 20 Canadian dolla

lora16 [44]

Their money rate is the same as ours so $150- 20= $ !30

3 0

1 year ago

Read 2 more answers

How many significant figures in 20340 ?

elena-14-01-66 [18.8K]

There are 4 significant figures in 20340.

7 0

2 years ago

Read 2 more answers

A cash register contains q quarters. Write an algebraic expression that represents the total amount of money (in dollars).

kati45 [8]

Answer:

0.25q

Step-by-step explanation:

A cash register is a machine used in small business that sums, display and records the total amount made by each sale. A cash register also has a drawer which is used to store money.

A quarter is a coin in the United States which is 25 cents.

Converting 25 cents to dollars:

100 cents = $1

25 cents = 25 cents × $1 / 100 cent = $0.25

The total amount of money registered = number of quarters × $0.25

The total amount of money registered = q × $0.25 = 0.25q

5 0

2 years ago