which of these is a unit rate?​

Answer:

1.71

Step-by-step explanation:

x/4 = 3/7

4 * 3 = 12

12/7 = 1.714285714285714

Rounded to the nearest hundreths, the answer is  1.71

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:

C. 19

Step-by-step explanation:

90+26=116

180-116=64

3x+7=64

3x=57

x=19

Answer:    2 books would cost $26.

Step-by-step explanation:

4 books : $52                 You need to get down to 2 books. Divide 4 by 2 and .............................................52 by 2.

2 books : $26

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:

300

Step-by-step explanation:

Given data

P=5000

R= 6%

T= 1 year

The simple interest formula is

SI= PRT/100

SI= 5000*6*1/100

SI= 30000/100

SI= 300

Hence the simple interest is 300

Answer:

its B

Step-by-step explanation:

They are all direct variations

Answer:

Step-by-step explanation:

No real solutions exist. Subtract 8 on both sides to get:

[tex]x^2=-20[/tex]

You cannot take the square root of a negative number without involving imaginary numbers.

Answer and Explanation

__________________________________________________________

__________________________________________________________

The answer is -10 because...

You need to multiply 2 by "x," and to find out what "x" is, we need to add...

[tex]2+-12[/tex]

__________________________________________________________

And if we add  [tex]2[/tex] by [tex]-12[/tex], we get [tex]-10[/tex], which is our answer.

__________________________________________________________

and now, if we add [tex]-20[/tex] by  [tex]8[/tex], we get [tex]-12[/tex], which is what the equation equals, and this is how we know it is correct.

__________________________________________________________

Hope this helps! :)

Answer:

36 * 64

= 2304

Hope it help

..........the answer is 48 × 10^-8

Answer: Binder = 75c    notebook = 65c

Step-by-step explanation:

3b + 10n = 875

3b + 4n = 485

Subtracting gives:

6n = 390

390/6 = 65

n = 65

Substitute 65 into 3b + 4n = 485

3b + 260 = 485

3b = 485 - 260

3b = 260

b = 75

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

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Answer:

62

Step-by-step explanation:

the triangles angles always add up to 180 degrees

66+52=118

180-118=62

hope this helps :) have a nice day !!

answer is 147

hope that helped

Answer:

m∠1 = 147°

Step-by-step explanation:

triangle = 180°

117 + 30 = 147

180 - 147 = 33

line = 180°

180 - 33 = 147

m∠1 = 147°

Answer:

d

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:

£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:

A proportion which solves for the distance between D and E is: 9/6 = 15/x.

In Geometry, two (2) triangles are said to be similar when the ratio of their corresponding sides are equal and their corresponding angles are in congruence.

By applying the properties of similar triangles, we have this expression:

AB/DE = BC/CD

Substituting the given parameters into the expression, we have;

9/6 = 15/x.

Read more on similar triangles here: https://brainly.com/question/7411945

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Answer:

-4 / 7

Step-by-step explanation:

m = (y2 - y1) / (x2 - x1)

m = (7 - 3) / (2 - 9)

m = 4 / -7

m = -4 / 7

OR

m = (y2 - y1) / (x2 - x1)

m = (3 - 7) / (9 - 2)

m = -4 / 7

Answer:

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

Step-by-step explanation:

If you found x already just look for the triangle that equals 180 or whatever the total angle is for problem.

Answer:

Step-by-step explanation:

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

Answer:

80 percent

20 for the first shaded multiply with 4 and its 80

Answer:

5(9+25)

Step-by-step explanation:

The GCF is 5 so you just divide each by 5

im bout to leave so i cant answer rn BUT.. u should try by taking 150 by how many days can take 25 and see wat u get

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:

Slope= 3x

y intercept= -4

Step-by-step explanation: