Ethan drew a scale drawing of a house. He used the scale 1 millimeter : 5 meters. The actual

length of the garage is 10 meters. How long is the garage in the drawing?

millimeters

Answer:

[tex]y=9x[/tex]

[tex]y=\frac{18x}{2}[/tex]

[tex]y=\frac{81x}{9}[/tex]

Step-by-step explanation:

The given equation is

[tex]3y=27x[/tex]

If we isolate [tex]y[/tex], we can find the constant

[tex]y=\frac{27x}{3}\\ y=9x[/tex]

So, the constant is [tex]k=9[/tex].

Another proportions that have the same constant as the given equation are

[tex]y=9x[/tex]

[tex]y=\frac{18x}{2}[/tex]

[tex]y=\frac{81x}{9}[/tex]

Answer:

a,b, and c

Step-by-step explanation: Got it from khan :)

Answer:

im pretty sure its 777 hope this helped:)

25% discount means we pay 100% - 25% = 75% of the original price.

Relationship between sale price and regular price?

SalePrice = (1 - 25/100) × RegularPrice

Sale price is 75% of regular price.

Answer:

34

Step-by-step explanation:

area = bh/2

The area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3) is 34 square units.

Coordinates of vertices are:

X≡(6,8)

Y≡(3,3)

Z≡(13,-3)

The area of a triangle with the above vertices is given by:[tex]\frac{1}{2} [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

So the area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3)

=[tex]\frac{1}{2} [6(3+3)+3(-3-8)+13(8-3)][/tex]

=34 square units.

Hence, the area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3) is 34 square units.

To get more about triangles visit:

https://brainly.com/question/2644832

Answer:

Step-by-step explanation:

Assume that the cup is a cylinder of height 9 cm and radius 2.5 cm.

The side area is A = (circumference)(height), or A = 2πrh, which here is:

A = (3.14)(2)(2.5 cm)(9 cm) = 141.37 cm²

and

The area of the bottom is A = πr², or (here) A = (3.14)(2.5 cm)² = 19.63 cm²

Adding together the area of the sides and the area of the bottom, we get

Total area of cup = 141.37 cm² + 19.63 cm² = 161 cm²

Answer:

Answer: A! x=-1 2/5, y= 1 3/5

Step-by-step explanation:

First put -3x+3y=9 into slope-intercept form(y=mx+b)

3y=-3x+9

then solve for y

y=-1x+3

enter your y-intercept into the equation below..

2x-7(-1x+3)=-14

2x+7x-21=-14

2x+7x=-14+21(when changing sides it changes signs that's why 21 is now a positive)

2x-7x=7

-5x=7 divide -5 into 7

7/5

x=-1 and 2/5

then input x back into the first equation

-3(7/-5)+3y=9

21/5+3y=9

3y=9-21/5

3y=24/5

divide 3 into 24/5

=24/15=1 and 9/15 reduce it anddd

y=1 and 3/5

Answer:

Only the first one should be check-marked.

Step-by-step explanation:

Answer:

8x - 24 + 4x = 180

12x - 24 = 180

12x - 24 + 24 = 180 + 24

12x = 204

12x / 12 = 204 / 12

x = 17

∠NOP = 4(17)

= 68°

Step-by-step explanation:

Answer:

it might not be on the choice but i got 38.

Step-by-step explanation:

since MNOP is a cyclic quadrilateral it's opposite sides are complementary. so

8x-24+4x=90

12x-24=90

12x=90+24

12x=114  (divide both sides by 12)

x=9.5

since you asked for<NOP=4*9.5=38.

Answer:

y = 2(x + 4)² - 6

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define function

y = 2x² + 16x + 26

Step 2: Find vertex form

Answer:

[tex] (x + 2)^2 + (y + 3)^2 = 9[/tex]

Step-by-step explanation:

Center = (-2, - 3) = (h, k)

Radius (r) = 3

Equation of circle in centre radius form is given as:

[tex] (x - h) ^2 + (y - k) ^2 = r^2 \\

\therefore \{x - (-2)\}^2 + \{y - (-3)\}^2 = 3^2 \\

\purple {\boxed {\bold {\therefore(x + 2)^2 + (y + 3)^2 = 9}}} [/tex]

Answer:

[tex]5\:l^2(l-2)[/tex]

Step-by-step explanation:

[tex]5\:l^3-10\:l^2\\= 5\:l^2\times l-5\:l^2\times 2\\= 5\:l^2(l-2)... ( 5\:l^2\: are \: common)[/tex]

Answer:

the sample mean is never the same as population

Answer:

b

Step-by-step explanation:

Answer:

vertex

Step-by-step explanation:

The answer is vertex because when two rays meet up, the point where they meet is the vertex. The vertex will always be the point of two lines. For example a triangle has three vertices because there are three places in which lines meet up.

Answer:

19.4 =u

Step-by-step explanation:

17/7 = u/8

We can use cross products to solve

17*8 = 7u

Divide each side by 7

17*8/7 = 7u/7

19.42857143 = u

To the nearest tenth

19.4 =u

Answer:

[tex]u = 19.42[/tex]

Step-by-step explanation:

[tex] \frac{17}{7} = \frac{u}{8} \\ \\ cross \: \: \: multiple \\ 17 \times 8 = 7 \times x \\ 136 = 7u \\ \frac{136}{7} = \frac{7u}{7} \\ u = 19.42[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

5:6

Step-by-step explanation:

Answer:

8π

Step-by-step explanation:

2 * π * r * 0.5

16π * 0.5

8π

Answer:

4 pi

Step-by-step explanation:

Answer:

To be honest

Step-by-step explanation:

14

Answer:

-92

Step-by-step explanation:

So the  way you find the discriminant is b^2 - 4ac

a = 4

b = 2

c = 6

4 - 96

-92

Answer: markers are a dollar each and pencils are twenty five cents each

Step-by-step explanation:

2x1 = 2

5x.25 = 1.25

2+1.25= 3.25

4x1 = 4

6x.25= 1.50

4+1.30 = 5.50

Hope this helps and if you need me to explain it better feel free to ask!

Answer:

48 cm²  

Step-by-step explanation:

The lateral area (L) of a trapezoidal prism is the area of the four rectangles that connect the top and bottom trapezoids.  

The four rectangles make one large rectangle with length equal to the sum of the four sides — the perimeter (p).

1. Convert the height to centimetres

[tex]h = \text{0.3 dm} \times \dfrac{\text{10 cm}}{\text{1 dm}} = \text{3 cm}[/tex]

2. Calculate the perimeter

p = 3 cm + 4 cm + 5 cm + 4 cm = 16 cm

3. Calculate the lateral area

L = ph = 16 cm × 3 cm = 48 cm²

The lateral area of the prism is 48 cm².

Answer:

B.

Step-by-step explanation:

Make a ratio equation:

12 : 4.8 = 16 : x

[tex]\frac{12}{4.8} = \frac{16}{x}[/tex]

Cross multiply:

12x = 76.8

x = 6.4

Answer:

We have the formula to get the amount of money after 5 years:

A = Principal x (1 + rate)^year

or

5200 + 2340 = 5200 x (1 + rate)^5

=> (1 + rate)^5 = (5200 + 2340)/5200 = 1.45

=> 1 + rate = 1.077

=> rate = 1.077 - 1 = 0.077 = 7.7%

Hope this helps!

:)

Answer:

9

Step-by-step explanation:

r= 100i/pt=

100× 2340/5200×5=9

Answer: x = 10

Step-by-step explanation:ln20+ln5=2lnx

ln(20x5)=lnx^2

ln100=1nx^2

100=x^2

square root

x=10

The true solution is x = 10 of the expression ln 20 + ln 5 = 2 ln x which is correct answer would be option (B).

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

According to the problem, we will use some of the basic logarithmic properties,

Given expression,

⇒ ln 20 + ln 5 = 2 ln x

⇒ ln(20×5) = lnx²

⇒ ln100 = lnx²

Take anti logarithms on both sides,

⇒ 100 = x²

Taking the square root,

⇒ x = 10

Hence, the true solution is x = 10.

Learn more about the logarithmic properties here:

brainly.com/question/24211708

#SPJ6

Answer:

=fx-gx

Step-by-step explanation:

Apply the distribute law

Remove Parentheses

Answer found

Answer: =fx-gx

Hope this helps.

Answer:

a=16 b =10 or any other combination that gives 160

a = 20 b=8

a = 32 b = 5

Step-by-step explanation:

The area of a triangle using the lengths of two sides and the sine of the included angle is ½ ab sin C  where a and b are sides and C is the angle.

A =40 = 1/2 ab sin 30°

sin 30° = 1/2 so

40 = 1/2*ab*1/2

40 =1/4 ab multiply each side by 4

160 = ab

any combination of sides that gives you 160 will work

Let's check if a=16 b =10

A = 1/2*16*10 sin 30°

A = 1/2*160*1/2

A = 40

Answer:

12 = 2 × 2 × 3

48 = 3 × 2 × 2 × 2 × 2

60 = 3 × 2 × 5 × 2

Thus HCF = 2 × 2× 3 = 12

Answer: the answer is 12 hope it helps

Step-by-step explanation:

Answer:

64x

Step-by-step explanation:

that would be my answer

hope this helps!!! :)

Answer:

64x

Step-by-step explanation:

Simplify into x*4 to the 3 power

Evaluate 4 to the 3 power is 64

Reorder x*64

Final answer = 64x