What is (-8)(-8)(-1)?

Answers

Answer 1
Answer: -64, using the negative times negative equals positive and negative times anything else = negative rule, you get -64
Answer 2
Answer: by multiplying -8 (-8) you get 64. then 64 (-1) equals -64

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Imagine each letter of the word “Mathematical” is written on individual pieces of paper and placed in a bag. Should you pick a random letter from that bag, what is the probability that you pick a vowel?

Answers

Answer:

The probability to pick a vowel is   (5)/(12) }

Step-by-step explanation:

Probability = Required outcome / All possible outcome

From the question;

the word “Mathematical” is written on individual pieces of paper

We have to count the total numbers of letter present in the word

When we count properly, we have 12 total numbers of letters

The we proceed to count the numbers of vowel

Here are the vowel in the word  “Mathematical” :

a, e, a, i, a

The vowels are 5 letters

Probability = Required outcome / All possible outcome

Required outcome = 5

All possible outcome = 12

Probability =  (5)/(12) }

The probability that you pick a vowel  is  (5)/(12) }

In the word "Mathematical"

Vowels are "a", "e", "a", "i", "a" from left to right

Consonants are "m", "t", "h", "m", "t", "c", "l"

5 vowels and 7 consonants of total 12 letters

So the probability of picking a vowel is

(5)/(12)

A repairperson buys a new heavy-duty electric drill with installment payments. The initial cost of the drill is $300. The repairperson makes six payments. The total payments for the drill add up to $324. How much interest does the repairperson pay?

Answers

The repair person paid an amount of interest of $24.

What is Subtraction?

Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be termed as finding difference.

Given that,

A repairperson buys a new heavy-duty electric drill with installment payments.

Initial cost of the drill = $300

Number of installment payments made = 6

Total payment for the drill = $324

Amount of interest = Total payment for the drill - Initial cost of the drill

                               = $324 - $300

                               = $24

Hence the interest paid is $24.

To learn more about Subtraction, click here :

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he pays $24 interest

the percentage interest would be 24/300 ×100 = 8% interest

Explain how knowing 50 times 4 =200 helps you find 500 times 400.

Answers

Given -

50 times 4 =200

Find out the  values of 500 times 400.

To prove

As given in the question

50 times 4 =200

i.e the above also written in the form as follows.

50 × 4 = 200

Now find out for 500 times 400.

500 times 400 is also written in the form as follows .

500 × 400 = 200000

Therefore the 500 times 400 is 200000.

Hence proved



To find 500 times 400 from 50 times 4 =200 : usecommutative, associative properties and place value

500 times 400 \large{\boxed{\bold{=200000}}}

Further explanation

There are 3 properties in arithmetic operations that can be applied to arithmetic operations, namely: commutative, associative , and distributive properties

Commutative properties are mathematical operations of two numbers that are exchanged and produce the same results

a + b = b + a = c

a x b = b x a = c

this property applies to addition and multiplication operations.

Associative properties are mathematical operations of 3 numbers by grouping 2 numbers with parentheses and the location of the grouping is exchanged with the result that remains the same

(a + b) + c = a + (b + c) = d

(a × b) × c = a × (b × c) = d

Distributive properties are mathematical operations with 2 different arithmetic operations, by distributing numbers grouped in parentheses.

a × (b + c) = (a × b) + (a × c) = d

In the digit system, the value of a number depends on its place, or position, in the number.

Each digit is different place value.

the place value of the digits in a number: hundred thousands, ten thousands, one thousands, hundreds, tens, ones, decimal points, tenths, hundredths, thousandths, ten thousandths, hundred thousandths

From the task:

use the previous problem (50 times 4 = 200) to help solve 500 times 400.

50 times 4 = 200

in the form of arithmetic operations

50 x 4 = 200

or in place value

5 tens x 4 ones = 2 hundreds

we can use associative and commutative properties

(5*10)*4=200

(5*4)*10=200

=20*10=200

so multiplication can be expressed in an interchangeable form because it has the same value

So to complete 500 x 400:

multiplying the whole numbers first then the zeros

The difference between first number operations and second number operations is the place value unit

 500 x 400

= 5 hundreds x 4 hundreds

= 5 x100 x 4 x 100 (there are 4 times ​​of 10)

= (5 x 4 x 10) x 10 x 10 x 10

(5 x 4 x 10) = from previous problem

= 200 x 10 x 10 x 10

\large{\boxed{\bold{=200000}}}

Learn more

the place value: 12,354,897

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place-value patterns

brainly.com/question/98364

Keywords : place value, digit, number, times , commutative, associative

a kayaker travels x miles per hour downstream for 7 hours. on the 10-hour return trip, the kayaker travels 3 miles per hour slower. how far did the kayaker travel in total?

Answers

im just here for the points

How do you find the radius of a sphere when you know the area

Answers

Since the area formula is pi times radius to the second power, then just plug in the things you know. for ex: The area is 314, then work backwards and divide 314 by pi which equals 100 then unsquare it which is 10 because 10*10=100. So the radius is 10

How to work math problem -7/9(x=3)=14

Answers

-(7)/(9)(x+3)=14\ \ \ \ \ |multiply\ both\ sides\ by\ (-(9)/(7))\n\n(-(\not9^1)/(\not7_1))*(-(\not7^1)/(\not9_1))(x+3)=-(9)/(7)*14\n\nx+3=-9*2\n\nx+3=-18\ \ \ \ \ |subtract\ 3\ from\ both\ sides\n\n\boxed{x=-21}
-7/9(x=3)=14

-7/9x-7/3=14 (distribute)
-7/9x=49/3 (add 7/3 to both sides)

x=-21 (divide 49/3 by -7/9)

you can check if its correct by substituting back into the original equation