1. a.)In a two-digit number, the units digit is twice the tens digit. If the number is doubled, it will be 12 more than the reversed number. Find the number. b.)Eight times the sum of the digits of a certain two-digit number exceeds this number by 19. The tens digit is two less than the units digit. Find the number. c.)In a two-digit number, the units digit is twice the tens digit. If the number is doubled, it will be 9 more than the number reversed. Find the number. ALL DUE IN 7 MIN! HELP NOW OR NEVER

Answers

Answer 1

Answer: x=the units digit
y=the tens digit.
The number is: 10y + x
The reversed number is: 10x+y
The units digit is twice the tens digit, then: x=2y
a)we suggest this system of equations:

x=2y
2(10y+x)=12+(10x+y)

We can solve this system of equations by substitution method:
2(10y+2y)=12+[10(2y)+y]
2(12y)=12+21y
24y=12+21y
24y-21y=12
3y=12
y=12/3
y=4

x=2y
x=2(4)=8

The number is: 10y+x=10*4+8=48

Answer: the number is 48.

b)
the number is: 10x+y
we can suggest this system of equations:

8(x+y)=(10x+y)+19
x=y-2

We can solve this system of equations by substitution method.
8(y-2+y)=[10(y-2)+y]+19
8(2y-2)=11y-20+19
16y-16=11y-1
16y-11y=-1+16
5y=15
y=15/5
y=3

x=y-2
x=3-2=1

The number is: 10x+y=10*1+3=13

Answer:the number is 13.

c)
The number is: 10x+y
The number reversed is: 10y+x
we can suggest this system of equations:

y=2x
2(10x+y)=9+(10y+x)

We solve this system of equations by substitution method:
2(10x+2x)=9+[10(2x)+x]
2(12x)=9+21x
24x=9+21x
24x-21x=9
3x=9
x=9/3
x=3

y=2x
y=2*3=6

The number is: 10x+y=10*3+6=36

Answer: the number is 36

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What is the slope-intercept form of 6x −2y−4 = 0?
Can you please explain with some details?

Answers

$6x -2y-4 = 0 \n \nthe \ slope \ intercept \ form \ is : \n \n y= mx +b \n \n6x -2y-4 = 0 \n \n-2y =-6x+4\ \ /:(-2)\n \ny=(-6)/(-2)x+(4)/((-2))\n \ny=3x-2 \n \n the \ slope \ (the multiplier \ of \ x \ represented \ by \ m ) \ is \3\n \n and \ the \ y-intercept \ (the constantrepresented \ by \ b \ ) \ is \ -2$

the slope intercept form is y=mx+b
-2y=-6x+4
divide both sides by -2
y=3x-2

What is x the second term in thr geometric series 1/4+×+1/36+1/108+...?

Answers

The second term of this given geometric series is $(1)/(12)$

What is geometric series?

A geometric sequence's finite or infinite terms are added together to form a geometric series. The geometric series that corresponds to the geometric sequence a, ar, ar2,..., arn-1,... is a + ar + ar2 +..., arn-1 Clearly, "series" means "sum." The phrase "geometric series" refers specifically to the total of words with a common ratio between every adjacent pair of them. Finite and infinite geometric series are both possible.

Given a geometric series 1/4 + × + 1/36 + 1/108 +.....

In this series first term(a) = 1/4

second term(a₂) = x

Third term (a₃) = 1/36

ratio(r) = a₄ /a₃

ratio (r) = 1/3

The formula for the nth term of a geometric series is aₙ = arⁿ⁻¹ .....(1)

put these values in equation (1)

a₂ = $(1)/(4) *(1)/(3)$

a₂ = 1/12

Hence, the second term for the geometric series 1/4+×+1/36+1/108+... is 1/12.

learn more about geometric series Here:

brainly.com/question/4617980

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formula for geometric series
an=a1(r)^n-1

a2=1/4(1/3)^1
a2=1/12

Please solve the following equation. x-6x=56

Answers

x-6x=56
-5x=56/:(-5)
x=-56/5
x=-11 1/5

$x-6x=56\n -5x=56\ /:(-5)\n x=-\frac{56}5=-11\frac15$

Find the highest common factor (HCF) of 30 and 45

Answers

Answer:

The highest common factor of 30 and 45 is 15.

Step-by-step explanation:

factors of 30 = 1, 2, 3, 4, 5, 6, 10, 15, 30 ; factors of 45 are = 1, 3, 5, 9, 15, 45)

Greatest common factor is 15

Answer:

15.

Step-by-step explanation:

HCF is also called GCD. So, you divide both numbers with a common number that can divide both numbers at the same time without a remainder.

3 30 45

5 10 15

2 3

3 × 5 = 15

Will 3/5 x 2/7 be less than, greater than or equal to 3/5

Answers

3/5 times 2/7=6/35
compare 3/5 to 6/35

5 times 7=35

3/5 times 7/7=21/35

21/35 ? 6/35
21 ? 6
21> 6

an easy way is if we do

3/5=x, a random number
rememberig that taking a fraction of something makes it smaller

x times fraction is smaller than x
so
3/5 times 2/7 is less than 3/5

3/5×2/7=6/35
3/5=3/5×7/7=15/35
3/5 ×2/7 is less than 3/5

Ten plus 8 to the third power divided by 16