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3 years ago

Simplify: {36 ÷ (-9)} ÷ {(-24) ÷ 6)

Mathematics

2 answers:

olga nikolaevna [1]3 years ago

5 0

Answer:

Step-by-step explanation:

{36 ÷ (-9)} ÷ {(-24) ÷ 6}

= (-4) ÷ (-4)

= 1

ANEK [815]3 years ago

5 0

Answer:

Step-by-step explanation:

{36 ÷(-9)} ÷ {(-24) ÷ 6)

{36 ÷ -9} ÷ {-24 ÷ 6}

(-4) ÷ (-4)

using BODMAS rule (Bracket 0f Division , Multiplication and Addition , Subtraction)

Rule

first small bracket ( ) must be solved

then curly bracket { }

then only big bracket [ ]

remebere while dividing -4 and -4 along with the numbers - signs also gets cancel. So ur answer is positive.

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A school principal plans to form teams from 126 third-graders, 180 fourth-graders, and 198 fifth-graders so that there is the sa

marissa [1.9K]

Answer:

There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders

Step-by-step explanation:

126 third-graders

180 fourth-graders

198 fifth-graders

Find the highest common factor of 126, 180, 198

Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126.

Factors of 180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Factors of 198: 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198.

The highest common factor of 126, 180, 198 is 9

The largest possible number of teams that can be formed is 9

Each team has

third-graders = 126 / 9

= 14

Fourth-graders = 180 / 9

= 20

Fifth-graders = 198 divided by 9

= 22

There are 9 teams possible each having 14 third-graders, 20 Fourth-graders, 22 Fifth-graders

3 0

3 years ago

Kim rode her biyciclye 135 miles in 9 weeks. Eric rode her biciclye 102 miles in 6 weeks riding the sam edistance each week what

sdas [7]

Answer:

A.) Eric rode 2 more miles per week than Kim rode

Step-by-step explanation:

A.) Eric rode 2 more miles per week than Kim rode

B.)Kim rode 3 more miles per week than Erick rode

C.) Kim rode 11 more miles per week than Erick rode

D.) Eric rode 17 more miles per week than Kim rode

Kim rode her biyciclye 135 miles in 9 weeks.

Number of miles Kim rode per week = Total miles travelled / number of weeks

= 135 miles / 9 weeks

= 15 miles per week

Eric rode her biciclye 102 miles in 6 weeks

Number of miles Eric rode per week = Total miles travelled / number of weeks

= 102 miles / 6 weeks

= 17 miles per week

The correct answer is

A.) Eric rode 2 more miles per week than Kim rode

3 0

3 years ago

You spin the spinner once.

Ymorist [56]

Answer:

0.625

Step-by-step explanation:

5 out of 8 of the sections in the circle are yellow. This means that there is a 5/8 chance of the spinner landing in a yellow section.

5/8 written as a decimal is 0.625

The answer is 0.625

6 0

3 years ago

Quadratic inequalities

lina2011 [118]

See picture for rough graph

7 0

3 years ago

Simplify this equation Thanks a lot!!!

den301095 [7]

Answer:

-1

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,

$\bf\implies a^m \times b^m = (ab)^m$

Using this property , we have ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

This can be written as ,

$\rm\implies\{( 2 \sqrt6 +5) ( 2\sqrt6 - 5)\}^{2n-1}$

Simplifying using ( a+b)(a-b) = a² - b² ,

$\rm\implies\{( 2 \sqrt6)^2 -5^2 \}^{2n-1}\\\\\rm\implies ( 24 - 25)^{2n-1}$

Subtracting the numbers inside the brackets ,

$\rm\implies (-1)^{2n - 1 }$

Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the power is odd .

Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,

$\rm\implies\boxed{\quad \red{ -1 }\quad }$

Hence the required answer is (-1) .

4 0

3 years ago