Evaluate the following expression. 4 –1 + 2​

Answer:

I think the ratio is 3:2 :)

Answer:

2s/5 + 8

Step-by-step explanation:

if you wanted it simplified..

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:

Unit Rate: 2$ per chocolate

If you're buying 5, it will cost $10

Step-by-step explanation:

Finding the unit rate:

16 ÷ 8 = 2

2 x 5 = $10

If you're talking about what happens if each chocolate cost $5 per item it would be

$5 x 8 chocolates = $40

I hope this helped! :)

Answer:

20, 70

Step-by-step explanation:

9x=90

x=10

angles are 20 and 70

please mark as brainliest

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

#SPJ1

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

Answer:

see explanation

Step-by-step explanation:

∠ AOB = 360° - 264° = 96°

The altitude OM bisects ∠ AOB and the base AB

(a)

∠ MOB = 0.5 × 96° = 48°

Using the cosine ratio in right triangle MOB

cos48° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{OM}{OB}[/tex] = [tex]\frac{18}{r}[/tex] ( OB is the radius r of the circle )

Multiply both sides by r

r × cos48° = 18 ( divide both sides by cos48° )

r = [tex]\frac{18}{cos48}[/tex] ≈ 27 cm ( to the nearest cm )

(b)

Using the tangent ratio in the right triangle MOB

tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{MB}{OM}[/tex] = [tex]\frac{MB}{18}[/tex] ( multiply both sides by 18 )

18 × tan48° = MB then

AB = 2 × MB = 2 × 18 × tan48° = 36 × tan48° ≈ 40 cm ( to nearest cm )

Answer:

80 percent

20 for the first shaded multiply with 4 and its 80

Average rate of change, Correct Answer is (0,-3)

Answer:

x = 5

Step-by-step explanation:

The sum of the angles of a triangle is 180°.

(180 - 18x + 5) + (-1 + 8x) + 46 = 180

⇒ 180 - 18x + 5 - 1 + 8x + 46 = 180

⇒ -10x + 230 = 180

⇒ -10x = -50

⇒ x = 5

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:

2/3

Step-by-step explanation:

The slope is a 2/3 gradient :>>

Answer:

I believe that the answer is 2/3.. but I may be wrong...

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

They are all direct variations

Answer:

15 girls and 10 boys

Step-by-step explanation:

Answer:

students=35

ratio of girls to boys=2:3

2+3=5

girls.

⇒[tex]\frac{2}{5}[/tex]×35

⇒2×7

⇒14

boys

⇒[tex]\frac{3}{5}[/tex] × 35

⇒3×7

⇒21

Step-by-step explanation:

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: 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 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°

..........the answer is 48 × 10^-8

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:

3 weeks 21 days, 5 weeks 35, 7 weeks 49, 9 weeks 63 days

Step-by-step explanation:

Each week is 7 days

Answer:

20units

Step-by-step explanation:

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! :)

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:

B) 62.8 in^2

Step-by-step explanation:

Thanks alot, and Is that right?

Answer: The answer is A

Step-by-step explanation: