Ask question

Ask question

All categories

2 years ago

6

Montel spends $0.75 every time he plays his favorite video game. If you have $10, write and resolve an inequality to calculate h

ow many video games you can play

1 answer:

Bumek [7]2 years ago

3 0

Answer:13.333333 repeating

Step-by-step explanation:money divided by how much the games cost

You might be interested in

Prove the trigonometric identity

Annette [7]

Answer:

Proved See below

Step-by-step explanation:

Man this one is a world of its own :D Just a quick question are you a fellow Add Math student in O levels i remember this question from back in the day :D Anyhow Lets get started

For this question we need to know the following identities:

$1+tan^{2}x=sec^2x\\\\1+cot^2x=cosec^2x\\\\sin^2x+cos^2x=1$

Lets solve the bottom most part first:

$1-\frac{1}{1-sec^2x} \\\\$

Take LCM

$1-\frac{1}{1-sec^2x} \\\\\frac{1-sec^2x-1}{1-sec^2x} \\\\\frac{-sec^2x}{1-sec^2x} \\\\\frac{-(1+tan^2x)}{-tan^2x}$

now break the LCM

$\frac{-1}{-tan^2x}+\frac{-tan^2x}{-tan^2x}\\\\\frac{1}{tan^2x}+1\\\\cot^2x+1$

because 1/tan = cot x

and furthermore,

$cot^2x+1\\cosec^2x$

now we solve the above part and replace the bottom most part that we solved with $cosec^2x$

$\frac{1}{1-\frac{1}{cosec^2x} } \\\\\frac{1}{1-sin^2x} \\\\\frac{1}{cos^2x}\\\\sec^2x$

Hence proved! :D

4 0

2 years ago

A number that divided by 3 leaves 2, divided by 5 leaves 3 and divided by 7 leaves 2. What is the number?

Bogdan [553]

X/3=2
x=6

x/5=3
x=15

x/7=2
x=14

Each time, you multiply both sides by the denominator.

Hope this helps :)

7 0

2 years ago

The sum of two numbers is 50 and the difference is 4

juin [17]

Step-by-step explanation:

let the 2 numbers be x and x + 4 as their deference is 4.

their sum = 50

now,

→ x + x + 4 = 50

→ 2x + 4 = 50

→ 2x = 50 - 4 = 46

→ x = 46/2 = 23

therefore two numbers are,

x = 23

x + 4 = 23 + 4 = 27

hope this answer helps you dear...take care and may u have a great day ahead!

3 0

1 year ago

Read 2 more answers

Find the sumofthe geometrical progression of five terms, of which the first term is 7 and the multiplier is 7.Verify that the su

777dan777 [17]

Answer:

The sum of first five term of GP is 19607.

Step-by-step explanation:

We are given the following in the question:

A geometric progression with 7 as the first term and 7 as the common ration.

$a, ar, ar^2,...\\a = 7\\r = 7$

$7, 7^2, 7^3, 7^4...$

Sum of n terms in a geometric progression:

$S_n = \displaystyle\frac{a(r^n - 1)}{(r-1)}$

For sum of five terms, we put n= 5, a = 7, r = 7

$S_5 = \displaystyle\frac{7(7^5 - 1)}{(7-1)}\\\\S_5 = 19607$

The sum of first five term of GP is 19607.

Verification:

$2801\times 7 = 19607$

Thus, the sum is equal to product of 2801 and 7.

7 0

3 years ago

5m - 8 > 12<br> solve each problem showing your steps

Mashutka [201]

Answer:

m > 4

Step-by-step explanation:

5m - 8 > 12

Add 8 to each side

5m - 8+8 > 12+8

5m > 20

Divide by 5

5m/5 > 20/5

m > 4

3 0

2 years ago