MATHEMATICS HIGH SCHOOL

Please show me the steps of to do this
DON"T GIVE ME THE ANSWER
ASAP

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

The number $a . 10^(-2)$ is 8 times greater than $b . 10^(-3)$

thus, $a . 10^(-2) = 8b. 10^(-3)$

multiply both sides by $10^(2)$

we get $a = 8b. 10^(-1) \na = 0.8 b$

if we take a = 2.5 and b = 3.1 we get 2.5/3.1 = 0.8

then B is the answer

Answer 2

Answer: I don’t actually know I’m just trying to get points

Related Questions

1, 5, 9, 13...Generalize the pattern by finding the nth term. A) n2 B) n + 4 C) 4n - 3 D) 3n + 1
The area of a rectangle is 5x^3+19x^2+6x-18 with length x + 3. Using synthetic division, what is the width of the rectangle?
State whether the lines are parallel, perpendicular, or neither. Show your work.10x–5y=100 and 6y+3x=−7PLZ SHOW WORK
Can u guys PLEASE explain the difference between 2 x 10 to the power of 4 and 2 to the power of 4
Represent the following sentence as an algebraic expression, where "a number" is the letter x. The product of 8 and a number.

(Will Give Brainliest) −2(4

Answers

Answer: 16

2^4

2*2*2*2

--> 16

Answer:

Steps:

2*(4+9)-5+1

= 2*(13)-5+1

= 2*13-5+1

= 26-5+1

= 21+1

= 22

Tom has taken out a loan for college. He started paying off the loan with a first payment of $200. Each month he pays, he wants to pay back 1.2 times as the amount he paid the month before. Explain to Tom how to represent his first 30 payments in sigma notation. Then explain how to find the sum of his first 30 payments, using complete sentences. Explain why this series is convergent or divergent.

Answers

Answer:

In this geometric series, a represents the first term, what he pays back monthly is the common ratio which is 1.2, and the first 30 payments are what is being used to find the total amount which is represented by n. Thus, a=$200, n=30 and r=1.2. The sum is found by sn=(a((r^n)-1))/(r-1), which will be 200((1.2^30)-1))/(1.2-1). The solution is = $ 236,376 and the series is divergent because of the common ratio being greater than 1.

Step-by-step explanation:

This is a geometric series. The first payment represents the first term, a. The number of times he wants to pay back for subsequent payments represent the common ration, r. The first 30 payments represents the number of terms to use in finding the sum, n.

Hence, a = $ 200, n = 30 and r = 1.2.

The sum of a geometric sequence is given as:

Sn = (a((r^n)-1))/(r-1)

=(200((1.2^30)-1))/(1.2-1)

= $ 236, 376. 31

Explain why this series is convergent or divergent.

Since the common ratio, r, is greater than 1, the series is divergent

What is the gcf of 44j5k4 and 121j2k6

the answe is d :11j2k4

Answers

The greatest common fact for the two given is 11jk2.

you would pull 11 our because both 44 and 121 are divisible by 11, the j because they both have one j, the k because they both only have one k that you can take out, and 2 because both 4 and 6 are divisible by 2 and it's the largest number that you can take out of the two.

A recipe that makes 7 servings calls for 1 1/6 cups of jucie.how many cups of jucie per serving?
a.) 1/6

b.) 1/7

c.) 7/6

d.) 6/7

Answers

$1 (1)/(6) = (6)/(6) + (1)/(6) = (7)/(6) \n Basically:1 (1)/(6) = (7)/(6) \n (7)/(6) / 7 \n (7)/(6) / (7)/(1) \n (7)/(6) * (1)/(7) \n (7*1)/(6*7) \n (7)/(42) \n (1)/(6)$
The answer is a.) 1/6 cup
Step One: Make 1 1/6 an improper fraction
Step Two: Write equation
Step Three: Make the whole number (7) a fraction by putting it over one
Step Four: Divide 7/6 by 7/1
Step Five: Slip 7/1 for the reciprocal, 1/7
Step Six: Multiply the two fractions
Step Seven: Simplify
Hope this helps!

Solve. Good luck! Please do not try to google this. $(x^2+x-2)/(6x^2-3x) = √(2x) + (3x^2)/(2)$

Answers

$(x^(2) + x - 2)/(6x^(2) - 3x) = √(2x) + (3x^(2))/(2)$
$(x^(2) + 2x - x - 2)/(3x(x) - 3x(1)) = (2√(2x))/(2) + (3x^(2))/(2)$
$(x(x) + x(2) - 1(x) - 1(2))/(3x(x - 1)) = (2√(2x) + 3x^(2))/(2)$
$(x(x + 2) - 1(x + 2))/(3x(2x - 1)) = (2√(2x) + 3x^(2))/(2)$
$((x - 1)(x + 2))/(3x(2x - 1)) = (2√(2x) + 3x^(2))/(2)$
$((x - 1)(x + 2))/(3x(2x - 1)) = (2√(2x) + 3x^(2))/(2)$
$3x(2x - 1)(2√(2x) + 3x^(2)) = 2(x + 2)(x - 1)$
$3x(2x(2√(2x) + 3x^(2)) - 1(2√(2x) + 3x^(2)) = 2(x(x - 1) + 2(x - 1))$
$3x(2x(2√(2x)) + 2x(3x^(2)) - 1(2√(2x)) - 1(3x^(2))) = 2(x(x) - x(1) + 2(x) - 2(1)$
$3x(4x√(2x) + 6x^(3) - 2√(2x) - 3x^(2)) = 2(x^(2) - x + 2x - 2)$
$3x(4x√(2x) - 2√(2x) + 6x^(3) - 3x^(2)) = 2(x^(2) + x - 2)$
$3x(4x√(2x)) - 3x(2√(2x)) + 3x(6x^(3)) - 3x(3x^(2)) = 2(x^(2)) + 2(x) - 2(2)$
$12x^(2)√(2x) - 6x√(2x) + 18x^(4) - 9x^(3) = 2x^(2) + 2x - 4$
$12x^(2)√(2x) - 6x√(2x) = -18x^(4) + 9x^(3) + 2x^(2) + 2x - 4$
$6x√(2x)(2x) - 6x√(2x)(1) = -9x^(3)(2x) - 9x^(3)(-1) + 2(x^(2)) + 2(x) - 2(2)$
$6x√(2x)(2x - 1) = -9x^(3)(2x - 1) + 2(x^(2) + x - 2)$

Final answer:

To solve the given equation, first simplify both sides. Factor the numerator and denominator on the left side, then solve the quadratic equation obtained.

Explanation:

To solve the given equation:

$(x^2+x-2)/(6x^2-3x) = √(2x) + (3x^2)/(2)$

First, we need to simplify both sides of the equation. By factoring the numerator and denominator of the left side, we get:

x+22x.

Next, we can simplify the equation further by multiplying both sides by 2x. Finally, we solve the quadratic equation obtained by moving all terms to one side:

2x+4.

Therefore, the solution to the given equation is x = -2.

Learn more about Solving Equations here:

brainly.com/question/17595716

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Which number is a prime number?
141
161
171
151

Answers

141 (The original number) ;1 + 4 + 1 = 6 (Add each individual digit together) ;6 is divisible by 3 ;Then 141 is divisible by 3 ;141 isn't a prime number ;In the same way, 171 is divisible by 9 ; then, 171 isn't a prime number ;

161 = 7 x 23; 161 is divisible by 7 ; then, 161 isn't a prime number ;

Test whether 171 is divisible by 2, 3 , 5 , 7 , 11 , 13 ( an algorithm that tests each incremental m against all known primes < division ) ;
but, 171 isn't divisibile by 2,3,5,7,11,13 ;
Finally, 171 is a prime number ;

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Jim, Carla and Tomy are members of the same family. Carla is 5 years older than Jim. Tomy is 6 years older than Carla. The sum of their 3 ages is 31 years. How old is each one of them?

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