Which of the following statements is false? The sum of two rational numbers is always rational.

The sum of a rational number and an irrational number is always rational.

The product of a nonzero rational number and an irrational number is always irrational.

The product of two irrational numbers is either rational or irrational.

Answers

Answer 1

Answer: The sum of a rational number and an irrational number is always rational is false.
For example, 2+π = an irrational number.

Answer 2

Answer:

Answer:

The sum of a rational number and an irrational number is always rational

Step-by-step explanation:

For example, 2+π = an irrational number.

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If an article costs a store $7.45 and if it sells the article for $9.95, what percentage (to the nearest tenth) markup is it using?

Answers

Given:
cost = 7.45
selling price = 9.95

9.95 - 7.45 = 2.50 mark up

2.50 / 7.45 = 0.3355
0.3355 * 100% = 33.55% or 33.6% is the percentage of mark up to the nearest tenth.

The difference is 9.95 - 7.45 = 2.5

That represents (2.5/7.45) *100% = 33,6%.

Prove that if AC=DF and AB=DE then BC=EF

Answers

in triangle ABC and DEF
AC =DF, [ given ]
AB =DE, [ given ]
angle A = angle D
by SAS
ABC congruent to triangle DFE
so
BC = EF, [ CPCTC]
hence proved

5x + 3 = x + 11
Please help fast thankyou

Answers

Answer:

x = 2

Step-by-step explanation:

5x + 3= x + 11

5x - x = 11 - 3

4x = 8

x = 2

Each exterior angle of a regular polygon is 9°Calculate the number of sides of the polygon

Answers

Answer:

Step-by-step explanation:

The sum of the exterior angles of a polygon = 360°

Divide this by the value of 1 exterior angle to find the number of sides n

n = 360 ÷ 9 = 40

Answer:

Required Answer:-

Let the number of sides=x

Each angle measures 9°

As we know that in a polygon

${\boxed{\sf Sum\;of\:exterior\:angles=360°}}$

Substitute the values

${:}\longrightarrow$ $\sf 9x=360$

${:}\longrightarrow$ $\sf x={\frac {360}{9}}$

${:}\longrightarrow$ $\sf x=40$

$\therefore$ Number of sides=40.

Roman has a certain amount of money. If he spends $15, then he has 1/4 of the original amount left. How much money did Roman have originally?Bly 13 x

Answers

Answer:

$60

Step-by-step explanation:

Method 1

We want to know how much money Roman originally has considering if he spends $15, then he has $(1)/(4)$ of the original amount left. So,

We know that $(1)/(4)$ = 15 so $(2)/(4)$ = 30 and double that will get 60 so 60 is the original amount

Method 2

Lets call the original amount 'x'

If he spends $15 he has $(1)/(4)$ of the original amount so,

$(1)/(4)$ x = 15

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided 15 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

$(1)/(4)$ x = 15

→ Multiply both sides by 4 to isolate x

x = 60

So $60 was the original amount

You need 1 1/4 cups of sugar to make 20 cookies.To make 14 cookies, you will need how many cups of sugar?

Where do I begin and how do I solve this? Please help!