help!! slove for x, 13x + 47 = 151

Given:

The equations of lines are

[tex]y=\dfrac{4}{5}x+8[/tex]

[tex]20y+25x=180[/tex]

To find:

The relation between two of lines.

Solution:

The slope intercept form of a line is

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

We have,

[tex]y=\dfrac{4}{5}x+8[/tex]        ...(i)

[tex]20y+25x=180[/tex]          ...(ii)

Equation (i) can be written as

[tex]20y=-25x+180[/tex]

[tex]y=\dfrac{-25x+180}{20}[/tex]

[tex]y=\dfrac{-25x}{20}+\dfrac{180}{20}[/tex]

[tex]y=\dfrac{-5x}{4}+9[/tex]             ...(iii)

On comparing (i) with slope intercept form, we get

[tex]m_1=\dfrac{4}{5}[/tex]

On comparing (iii) with slope intercept form, we get

[tex]m_2=-\dfrac{5}{4}[/tex]

Now,

[tex]m_1\times m_2=\dfrac{4}{5}\times (-\dfrac{5}{4})[/tex]

[tex]m_1\times m_2=-1[/tex]

The product of slopes of both lines is -1. We know that the product of slopes of two perpendicular lines is -1.

Therefore, the given lines are perpendicular.

Answer:

The sequence is geometric

The common ratio is 0.5

Step-by-step explanation:

In the arithmetic sequence, there is a common difference between each two consecutive terms

In the geometric sequence, there is a common ratio between each two consecutive terms

Let us check the given sequence

The first 3 terms are 12, 6, 3

6 - 12 = -6

3 - 6 = -3

There is no common difference between the consecutive terms

The sequence is not an arithmetic sequence

6 ÷ 12 = 0.5

3 ÷ 6 = 0.5

There is a common ratio between each two consecutive terms

The sequence is a geometric sequence

The common ratio is 0.5

Answer:

An arithmetic

Common difference

-5

Step-by-step explanation:

Answer: The coordinates should be... (2,0) (-6,3) (-6,-2)

Step-by-step explanation:

The translation is (-6, -2), (-6, 3) and (0, 2).

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

we have to translate 7 units left and 3 units down.

So, 7 units left shifting to the negative x-axis and 3 units down to negative y axis.

So, the coordinates will be (-6, -2), (-6, 3) and (0, 2)

Learn more about translation here:

https://brainly.com/question/28240374

#SPJ2

..........the answer is 48 × 10^-8

Answer:

Answer:

Step-by-step explanation:

you only need the rate of change and the y intercept.

Answer:

Mr Doyle washed the most.

4/15 still need to be washed.

Step-by-step explanation:

2/5=6/15  Mr Doyle

1/3=5/15   Son

so Mr Doyle washed the most.

Together they washed 11/15 of the laundry so 4/15 is left to wash.

Answer:

Hey there!

15x-43+8x+18=90

23x-25=90

23x=115

x=5

RSQ=15(5)-43, or 32

TSQ=8x+18, or 58

Let me know if this helps :)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

23+25=48

48÷8=6

Answer:

2x-3<x+2<3x+5

2x-3<x+2 or 2x-x<2+3 or x<5

x+2=3x+5 or x-3x<5-2 or 2x<3

Step-by-step explanation:

plz brainless

Answer:

3.6 hours

Step-by-step explanation:

The computation of the number of hours will the battery last is given below:

Given that

The capacity of her battery is 2 by 5

And, it declines 1 by 9 for every hour

So,

[tex]= \frac{2}{5}\times \frac{9}{1}\\\\= \frac{18}{5}\\\\= 3\frac{3}{5}[/tex]

= 3.6 hours

Answer: Allison owes the bank more then $50

Answer:

Allison will need more than $50.

Step-by-step explanation:

If you add 50 to -50.15, there is still -.15 cence left. So Allison will need more than $50 to have a positive balance.

Answer:

Slope= 3x

y intercept= -4

Step-by-step explanation:

Answer:

The maximum number of hours the school can have the band play at the dance is 4.

Step-by-step explanation:

150 + 100 + 35x ≤ 390

250 + 35x ≤ 390

subtract 250 from both sides

35x ≤ 140

divide by 35 on both sides

x ≤ 4

Answer:

>

Step-by-step explanation:

-12 is closer to 0 than -41 would be therefore -12>-41.

Answer:

>

Step-by-step explanation:

Looking at a number line, -41 is farther from 0 than -12.

See the image below.

The farther left a number is on a number line, the smaller it is.

The farther right a number is on the number line, the larger is it.

So:

-12 > -41

Answer:

y = -10x + 5 and y = 2/5x + 1

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

for your first problem, just plug in the m and b values to complete the equation.

1.) y = mx + b ⇒ y = -10x + 5

plug in -10 for x (slope) and 5 for b (y-intercept)

and for the second problem...

since you're given a value for slope as well as a coordinate pair, all you need to do is plug those values into the equation for their respective variables and then solve for b. (it doesn't matter what order you plug values in, but i'm going to fill them in in the order of the equation; y, m, and x)

1.) plug in -1 for y

y = mx + b ⇒ -1 = mx + b

2.) plug in 2/5 for m

-1 = mx + b ⇒ -1 = 2/5x + b

3.) plug in -5 for x

-1 = 2/5x + b ⇒ -1 = 2/5(-5) + b

now it's time to solve for b! start by multiplying 2/5 and -5.

-1 = 2/5(-5) + b ⇒ -1 = -2 + b

add 2 to both sides of the equation. on the right side, it cancels itself out. on the left side, adding 2 to -1 gives you 1.

and you're left with 1 = b! :)

therefore, y = 2/5x + 1

i hope this helps! have a great day <3

Answer:

d

Step-by-step explanation:

Answer:

C. 19

Step-by-step explanation:

90+26=116

180-116=64

3x+7=64

3x=57

x=19

Answer:

36 * 64

= 2304

Hope it help

Answer:

£5300

Step-by-step explanation:

-first you find 3% of 5000, which is £150

-£150 only represents the intreset for one year, but becky invests for 2 years, so:

150*2= 300

-add them together:

300+5000=5300

Answer:

bro i cant even read the highlighted numbers

Step-by-step explanation:

take a better photo

Answer:

6/9 because if you multiply 2/3times 3 its 6/9 which when simplified is 2/3

Answer:

4, 1, 4, and 1

Step-by-step explanation:

when a problem asks for the domain, it's basically asking for the x coordiantes (range = y coordinates)

Answer:

5(9+25)

Step-by-step explanation:

The GCF is 5 so you just divide each by 5

Answer:

D

PLZ MARK AS BRAINLIEST