MATHEMATICS HIGH SCHOOL

1/5 of an even number is added to 2/3 of the next even number to obtain 88, find the even number word problem

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Answer:

100

102

Step-by-step explanation:

Let the first even number be 2x

Let the next even number be 2x + 21/5 *(2x) + 2/3 (2x + 2) = 882/5 *x + 4/3 (x) + 4/3 = 88

Multiply by 15 to get rid of the fractions.2*3 x + 20x + 20 = 88 * 156 x + 20x + 20 = 1320 26x + 20 = 132026x = 1300x = 1300/26x = 502x = 1002x + 2 = 1021/5 * 100 = 202/3 * 102 = 34*2 = 6820 + 68 = 88

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Geometry would not be used to check a foundation during construction.True false

Answers

False geometry would be used to check a foundation during construction

Hey there

The statement Geometry would not be used to check a foundation during construction is false

Whats is six over 9 + 1 over 3

Answers

Step-by-step explanation:

6/9 + 1/3

= 6/9 + 3/9

= 9/9

= 1.

A set of face cards contains 4 Jacks, 4 Queens, and 4 Kings. Carlie chooses a card from the set, records the type of card, and then replaces the card. She repeats this procedure a total of 60 times. Her results are shown in the table.How does the experimental probability of choosing a Queen compare with the theoretical probability of choosing a Queen?

The experimental probability is 4 less than the theoretical probability.
The experimental probability is 1/15 less than the theoretical probability.
The experimental probability is 1/15 more than the theoretical probability.
The experimental probability is 4 more than the theoretical probability.

Answers

The experimental probability is 1/15 less than the theoretical probability.

Given

A set of face cards contains 4 Jacks, 4 Queens, and 4 Kings.

Carlie chooses a card from the set, records the type of card, and then replaces the card.

She repeats this procedure a total of 60 times. Her results are shown in the table.

What is experimental probability?

Theoretical probability describes how likely an event is to occur.

The theoretical probability of choosing a Queen is;

$\rm Theoretical\ probability= (Observed \ frequency)/(Probability \ of \ selecting \ Queen)\n\n Theoretical\ probability= (16)/(4)\n\n Theoretical\ probability= (4)/(1)$

What is experimental probability?

Experimental probability describes how frequently an event actually occurred in an experiment.

The experimental probability of choosing a Queen is;

$\rm Experimental \ probability = Relative \ frequency\n\nExperimental \ probability = (4)/(15)$

For comparing the theoretical and experimental probability of both equations.

$\rm =(Experimental \ probability)/(Theoretical \ probability)\n\n= ((4)/(15))/((4)/(1))\n\n= (4)/(15)* (1)/(4)\n\n= (1)/(15)$

Hence, the experimental probability is 1/15 less than the theoretical probability.

To know more about Experimentalprobability click the link given below.

brainly.com/question/3733849

Answer:

the answer is b

Convert 12 inches to millimeters (to the nearest tenth).

Answers

12 inches to millimeters is 305.0 if u put it the nearest tenth

304.8

is the one with out rounding it up

Use the Pythagorean identity sin^2 Θ + cos^2 Θ = 1 to derive the other Pythagorean identities, 1 + tan^2 Θ = sec^2 Θ and 1 + cot^2 Θ = csc^2 Θ. Discuss how to remember these identities and other fundamental identities.

Answers

1 ) 1 + tan² t = sec² t
1 + sin² t / cos² t = 1 / cos² t
( This is because we know that tan x = sin x / cos x and csc x = 1 / cos x )
Then we will multiply both sides of an equation by cos² t
1 * cos² t + sin² t * cos² t / cos² t = 1
cos² t + sin² t = 1 ( and we know that it is the identity - true )
2 ) 1 + cot ² t = csc² t
1 + cos² t / sin² t = 1 / sin² t / · sin² t ( multiply both sides by sin² t )
sin² t + cos² t = 1 ( true )

I ONLY NEED HELP WITH PART BAn equation is shown below:

5x + 3(x – 5) = 6x + 2x – 15

Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)

Part B: Name one property you used to solve this equation. (4 points)

Answers

Hi there

5x+3(x-5)=6x+2x-15

Simplify both sides of the equation

5x+3(x-5)=6x+2x-15

Distribute

5x+3x-15=6x+2x-15

Combine like terms

(5x+3x)-15= (6x+2x)-15

8x-15=8x-15

Subtract 8x from both sides

8x-15-8x=8x-15-8x

-15=-15

Add 15 to both sides

-15+15=-15+15

0=0

All real numbers are solutions

To solve this equation I used " The distributive property"

I hope that's help !

Good night !

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