al made a treehouse last summer. He started by making a model. the model included a window with height 1/3 inch. and width 1/6 inch. the actual tree house window had height of 1/2 yd. and width 1/4 yd. al incorrectly said that the ratio of the height of the window in the model to the height of the window in the tree house was 3/2. what was the correct ratio?

What’s is Al’s likely error?

A- He reversed the order of the terms in the ratio
B-he found the ratio of the height to width for one window instead of the ratio of heights
C- He did not covert one of the units before finding the ratio
D-He found the ratio of the widths instead of the ratio of the heights.

Answer:

[tex]\displaystyle n^3-\frac{1}{n^{2}}[/tex]

Step-by-step explanation:

Exponents Properties

We need to recall the following properties of exponents:

[tex](a^x)^y=(a^y)^x=a^{xy}[/tex]

[tex]\displaystyle a^{-x}=\frac{1}{a^x}[/tex]

We are given the expression:

[tex]2^m=n[/tex]

We need to express the following expression in terms of n.

[tex]8^m-4^{-m}[/tex]

It's necessary to modify the expression to use the given equivalence.

Recall [tex]8=2^3 \text{ and }4 = 2^2[/tex]. Thus:

[tex](2^3)^m-(2^2)^{-m}[/tex]

Applying the property:

[tex](2^m)^3-(2^m)^{-2}[/tex]

Substituting the given expression:

[tex]n^3-n^{-2}[/tex]

Or, equivalently:

[tex]\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}[/tex]

Answer:

100 sq m

Step-by-step explanation:

if you fill in the shape to be a big rectangle it will be 8 x 22 =176 sq m

then the little piece on the left that is taken out is 2 x 2 = 4 sq m

the piece on the right is 6 x 12 = 72 sq m

so subtract them from the big rectangle

176 - 4 - 72 = 100 sq m

Answer:

100m^2

Step-by-step explanation:

To do this we need to break the shape into sections as illustrated in the picture I attached, I color coded the squares to make it easier to explain. Now we just find the area of each shape and add them all together.

Area= base•height

So for the purple shape:

6•2=12

Orange:

8•8=64

Green:

2•12=24

In total:

12+64+24=100

And since it's area it would be in square units which just means it'd look like this:

[tex] {100m}^{2} [/tex]

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer: [tex]y=3-2a[/tex], Option 4

Step-by-step explanation:

[tex]\left \{ {ax + by = ab} \atop {2ax + 3by = 3b}} \right.[/tex]

multiply 2 at [tex]ax+by=ab[/tex]

[tex]2ax+2by=2ab[/tex]

subtract [tex]2ax + 3by = 3b[/tex] and[tex]2ax+2by=2ab[/tex]

[tex]by=3b-2ab[/tex]

[tex]y=3-2a[/tex]

Answer:

All of them

Step-by-step explanation:

Answer:

Point form: (4, 4)

x = 4, y = 4

Answer:

52 feet apart

Step-by-step explanation:

20 + 32 = 52

Answer:

52 feet

Step-by-step explanation:

20 + 32 = 52

Answer:

-2

Step-by-step explanation:

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Step 1: Multiply both sides of the equation by 3.

Step 2: Simplify both sides of the equation.

Step 3: Move all terms not containing x to the right side of the equation.

Answer:

C. Infinitely many solutions

Step-by-step explanation:

Answer:

INFINITE SOLUTIONS

Step-by-step :(examples)

any value of x makes the equation true

true for all= infinite solutions

one solution= x=30

no solution= 7=0

Answer:

im struggling as well

Step-by-step explanation:

Answer:

5 bags

Step-by-step explanation:

Given

[tex]Granola\ Bars = 25[/tex]

[tex]Popcorn\ Balls = 35[/tex]

Required

Determine the greatest number of bags

This question illustrates greatest common factor (GCF).

The number of bags will be solved by getting the GCF of 25 and 35.

This is shown below:

[tex]25 = 1 * 5 * 5[/tex]

[tex]35 = 1 * 5 * 7[/tex]

[tex]GCF = 1 * 5[/tex]

[tex]GCF = 5[/tex]

Hence, Carlos will need 5 bags

Answer:

7.2 Minutes

Step-by-step explanation:

Use Ratios

Miles : Minutes

5:36

Divide Both Sides By 5

1:7.2

It will Take Ally 7.2 Minutes To Run 1 Mile

Answer:

6560lbs

Step-by-step explanation:

The text of the question is not visible in the answering window. I'll reproduce it here:

BD bisects <ABC.

m <ABD= 2.5x + 8.6

m<CBD = 3.5x - 3.4

Find m<ABC

Answer:

[tex]m\angle ABC = 77.2^\circ[/tex]

Step-by-step explanation:

We have an angle ABC and a line BD bisecting it.

If an angle is bisected, then the two formed angles are congruent, that is

[tex]m\angle ABD=m\angle CBD[/tex]

Substituting the algebraic expressions for both angles:

[tex]2.5x + 8.6=3.5x - 3.4[/tex]

Subtracting 8.6 and 3.5x:

[tex]2.5x - 3.5x = -8.6 - 3.4[/tex]

Operating:

[tex]-x = -12[/tex]

[tex]x = 12[/tex]

The two angles are:

[tex]m\angle ABD=2.5x + 8.6=2.5(12) + 8.6=38.6^\circ[/tex]

[tex]m\angle CBD=3.5x - 3.4 = 38.6^\circ[/tex]

As expected, both angles have the same measure.

The measure of the total angle ABC is twice any of those:

[tex]m\angle ABC = 2*38.6^\circ=77.2^\circ[/tex]

[tex]\mathbf{m\angle ABC = 77.2^\circ}[/tex]

Answer:

x = 18

y = 54

Step-by-step explanation:

A straight line equals 180 degrees.

Since Lines CD and AB are straight, we can deduce that the angle 3x = 2x + angle AN.

Because there is a right angle, we can subtract 90 -72 = 18.

18 + 2x = 3x

18 = x

A straight line equals 180 degrees. Once we figure out that x = 18, we can figure out y by plugging in x and then subtracting your answer from 180 degrees.

I hope this was helpful to you! If it was, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day!

Answer:

[tex]4(y - 8) + 6 = 58 \\ or \: 4y - 32 + 6 = 58 \\ or \: 4y - 26 = 58 \\ or \: 4y = 58 + 26 \\ or \: 4y = 84 \\ or \: y = \frac{84}{4} \\ or \: y = 21[/tex]

Thank you ☺️

=5^6/5^4

=5^(6-4)

=5^2 ANSWER..

Answer:

Your answer is C) 1.92

Hope this helps ^_^

Answer:

Sales tax is $1.92 or 192 cents.

Step-by-step explanation:

Given the price of a DVD is $24.00 plus 8% sales tax.

we have to find the sales tax on this DVD in dollars and cents.

The sales tax is 8% can be calculated as

8/100 X $24

1.92

In cents

as one dollar equals 100 cents

∴ 1.92 dollar = $1.92 = 192 cents

Hence, sales tax is $1.92 or 192 cents.

So your answer is C!!

Answer:

39.19

Step-by-step explanation:

sin(29°)=(19/x)

x= 19/sin(29°)

/= over

i used sin because it show opposite and hypoteneuse. which formula is SOH=sin opposite/ hypoteneuse

Answer:

[tex]x = \frac{54}{59}[/tex]

Step-by-step explanation:

I'm assuming you meant (83x - 6). Either way, the parentheses aren't needed there as there aren't any numbers outside of the parentheses on that side of the equation.

So:

Remember PEMDAS

P – Parentheses

E – Exponents

M – Multiplication /D – Division  (whichever comes first from left to right)

A – Addition /S – Subtraction (whichever comes first from left to right)

Nothing needs to be distributed on the left side, so let's distribute the right side.

6(4x + 8)

6 * 4x = 24x

6 * 8 = 48

Now we have 24x + 48

83x - 6 = 24x + 48

Now, we must isolate the x so that in the end, we can get x =

83x - 6 = 24x + 48

+ 6                    +6

83x = 24x + 54

-24x           -24x

59x = 54

Now, we have isolated the x! Finally, we want x to = 1 so that it will be x = instead of 59x =.

[tex]\frac{59x}{59} = \frac{54}{59}[/tex]

Because 54/59 does not divide into a rational number or simplify any further, we can keep it as a fraction.

[tex]x = \frac{54}{59}[/tex]

~ [tex]InLoveWithPugs[/tex]

Moderator

Math Enthusiast

Answer:

Step-by-step explanation:

1/3 of an hour is 1/3 × 60 minutes = 20 minutes.

no of pages for 1 hour = 3 × 18/11

54

----    =     4    9

                    ------

11                     11

hope this help :P

Answer:

z = -10

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

-4 - (z - 6) = 12

Step 2: Solve for z

Step 3: Check

Plug in z to verify it's a solution.

Here we see that 12 does indeed equal 12.

∴ z = -10 is a solution of the equation.

Answer:

z = -10

Step-by-step explanation:

-4 -(z+6)=12

2-z=12

-z =12-2

ans= z = -10

Answer:

x/3 + 34

Step-by-step explanation:

The quotient of x and 3 would be written as x/3.

(I am guessing that increased means add, because multiplied would say times, by, or multiplied.)

Answer:

Work shown below!

Step-by-step explanation:

(a + 3)(a + 5) = [tex]a^{2} +5a+3a+15=a^{2}+8a+15[/tex]

Answer:

6.3  repeating

Step-by-step explanation:

(B) EF is perpendicular to EH.

Therefore, the correct option is (B) EF is perpendicular to EH.

Know more about quadrilaterals here:

https://brainly.com/question/16691874

#SPJ2

Answer:

B and C

Step-by-step explanation:

Answer:

D is correct

rost beef sandwich=7$

turkey sandwich=5$

Step-by-step explanation:

Answer:

Step-by-step explanation:

m∠2 = 180° - 113° = 67°