A gardener measures the dimensions of a rectangular garden that is 9 meters wide by 12 meters long. If the gardener draws a blueprint of the garden, where each meter is equivalent to
inch, which statements are true?
Select ALL that apply.
The area of the blueprint is square inches
The area of the blueprint is 108 square inches
The length of the blueprint is 6 meters
The perimeter of the blueprint is 28 inches.
The width of the blueprint is 8 meters
Calculator

Fractions can be represented by shading parts of a rectangular region

The simplified expressions are:

To start with, we simplify the fraction expressions as follows:

(1) [tex]\frac 28 + \frac 24 =[/tex]

Take LCM

[tex]\frac 28 + \frac 24 = \frac{2 + 4}8[/tex]

[tex]\frac 28 + \frac 24 = \frac{6}8[/tex]

Simplify

[tex]\frac 28 + \frac 24 = \frac 34[/tex]

(2) [tex]\frac 9{10} - \frac 35 =[/tex]

Take LCM

[tex]\frac 9{10} - \frac 35 =\frac{9 - 6}{10}[/tex]

[tex]\frac 9{10} - \frac 35 =\frac{4}{10}[/tex]

Simplify

[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex]

(3) [tex]\frac 46 - [\ ]=\frac{2}{6}[/tex]

Replace the blank with x

[tex]\frac 46 -x=\frac{2}{6}[/tex]

Collect like terms

[tex]x = \frac 46 -\frac{2}{6}[/tex]

Take LCM

[tex]x = \frac{4 - 2}{6}[/tex]

[tex]x = \frac{2}{6}[/tex]

Simplify

[tex]x = \frac{1}{3}[/tex]

(4) [tex]\frac{}{12} + \frac 26 = \frac{2}{12}[/tex]

Replace the blank with x

[tex]\frac{x}{12} + \frac 26 = \frac{2}{12}[/tex]

Collect like terms

[tex]\frac{x}{12} = \frac{2}{12} -\frac 26[/tex]

Take LCM

[tex]\frac{x}{12} = \frac{2 - 4}{12}[/tex]

[tex]\frac{x}{12} = -\frac{2}{12}[/tex]

Multiply both sides by 12

[tex]x=-2[/tex]

(5) [tex]\frac{9}{18} - \frac{3}{9}[/tex]

Take LCM

[tex]\frac{9}{18} - \frac{3}{9} = \frac{9 - 6}{18}[/tex]

[tex]\frac{9}{18} - \frac{3}{9} = \frac{3}{18}[/tex]

Reduce fraction

[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]

So, the simplified expressions that contain the missing fractions are:

See attachment for the shaded regions

Read more about fractions at:

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Answer:

70% right, 30% wrong

Step-by-step explanation:

3 is 30% of 10

Answer:

3 vanilla

Step-by-step explanation:

If 75% of the order equates to 9 chocolate, then the remaining of the dozen would leave three.

Unless there is more than 12 in the order. The question is vague

Answer:29.5 kilometers

Step-by-step explanation: 16.5-3.5=13 then you add 13 and 16.5

The solution is: Eric biked total 1.875 Km.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

On Monday, Eric biked = 1 Km 125 m

                                      = 1.125 Km

On Tuesday, Eric biked = 1.125 Km - 375 m

                                      = 1.125 - 0.375 Km

                                      = 0.75 Km

So, Eric biked on both day

=1.125 + 0.75

= 1.875 Km

Hence, Eric biked total 1.875 Km.

Learn more about unitary method here:

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#SPJ2

complete question:

Eric biked 1 kilometer 125 meters on Monday. on Tuesday, he biked 375 meters less than on Monday how far did he bike both days

Answer:A

Step-by-step explanation: make me brainlist if correct

Answer:

the slope of the line is -2.

Step-by-step explanation:

Answer:

Let pork chops and ground beef be x and y respectively.

4x = $12.60

x = $3.15

11x = $34.65

5y = $10.25

y = $2.05

12y = $24.60

11x + 12y = $34.65 + $24.60

              = $59.25

Step-by-step explanation:

first line multiplied with first column. then with second column. and then third.

then the same for the second line and then the third line.

BA11 = 5×3 + 7×3 + 3×2 = 38

BA12 = 5×1 + 7×6 + 3×-1 = 44

BA13 = 5×2 + 7×-4 + 3×-3 = -27

BA21 = -2×3 + -1×3 + 9×2 = 9

BA22 = -2×1 + -1×6 + 9×-1 = -17

BA23 = -2×2 + -1×-4 + 9×-3 = -27

BA31 = 4×3 + 3×3 + 1×2 = 23

BA32 = 4×1 + 3×6 + 1×-1 = 21

BA33 = 4×2 + 3×-4 + 1×-3 = -7

Answer: the answer is b=9

Step-by-step explanation:

Step 1: Subtract 32 from both sides.

104-32= 72

Step 2: Divide both sides by 8.

72 divided by 8 is 9

therefor the answer is 9

Answer:

I do not know English

Step-by-step explanation:

<3333

Answer:

Step-by-step explanation:

Calculus....finally something FUN to answer!

This is integration, but here you have the area under the curve, you just don't have the upper bound. Setting that problem up looks like this:

[tex]28=\int\limits^b_1 {7x} \, dx[/tex]  and using the First Fundamental Theorem of Calculus, that will integrate to look like this:

[tex]28=\frac{7x^2}{2}[/tex] from 1 to b and applying the FTC:

[tex]28=\frac{7b^2}{2}-\frac{7}{2}[/tex]  Multiplying everything by 2 to get rid of the denominators gives you:

[tex]56=7b^2-7\\\\56=7(b^2-1)\\8=b^2-1\\9=b^2\\b=3[/tex]

The potential gain that could have come with golfing

Step-by-step explanation:

Opportunity cost is the loss of something you could have gotten from the choice you didn't go with. so I'm this case, the opportunity cost of chosing the movies is what you missed out on by not going golfing.

The value of x that makes sense for the expression is the domain of the expression

[tex]\sqrt{-2x^2}[/tex]

For the above expression to have a defined value, the expression in the bracket must be positive.

However, x^2 will always be positive, and -2 will ensure that the expression is always negative, except when x = 0

Hence, the value of x makes sense for [tex]\sqrt{-2x^2}[/tex] is 0

[tex]\sqrt{(-2x)^3}[/tex]

For the above expression to have a defined value, the expression in the square root must be positive.

However, the power of 3 will ensure that the expression is always positive only when x is less than or equal to 0

Hence, the value of x must not exceed 0 for [tex]\sqrt{(-2x)^3}[/tex] to make sense

Read more about domain at:

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Answer: First answer = x<=0 and second answer is x<0

Step-by-step explanation: The other guy got the work correct but the answer wrong. The real answer is x≤0 for -2x^2 and the second answer is x < 0.

Step-by-step explanation:

Volume=length*width*height

V = (3/2)*(4)*(1/2)

= 12/4 = 3cm^3

The equation had only one solution and the solution to the given equation is 1

Equations are expressions separated by an equality sign

Given the equation expressed as;

5x - 6 = -x - 2x + 2

Collect the like terms:

5x + x + 2x = 2 + 6

Simplifying the result;

8x =8

Divide both sides of the equation by 8 to have:

8x/8 = 8/8

x = 1

Hence the solution to the given equation is 1

learn more about equation here: https://brainly.com/question/25678139

Answer:

4

Step-by-step explanation:

Well first you want to take 0.60 from the total amount which is $4 leaving you with $3.40

then you want to divide the remaining amount of money by the cost of a candy bar ($0.85)

So you do 3.40/0.85 which is equal to 4

Answer: (-7,-5)

Step-by-step explanation:

Because when you mark point M and A if you mirror point M and A on the x Axis then you will get (-7,-5)

Answer: x = 17

Step-by-step explanation:

Hi there!

First, since we know that these two lines are parallel, 3x+14 is going to be congruent to the supplementary side of 7x-4. Given this, we are able to solve for x as we know that the sum of supplementary angles is 180. All you have to do is set up 3x+14+7x-4=180

Now, just use simple order of operations and combining like terms to isolate x. you will end with 17! :)

Hope this helps!

Answer:

you are in the 45 and 56 zone so yes

Step-by-step explanation:

Answer 1.2 angles

and 203 left cm

The measure of the exterior angle at vertex D is: D. 54°

Recall:

Thus:

In ΔDEF, (8x−2)º is an exterior angle at vertex D.

m∠E = (3x−8)° (interior angle)

m∠F = (4x+13)° (interior angle)

Therefore:

(8x−2)º = (3x−8)° + (4x+13)°

8x - 2 = 3x - 8 + 4x + 13

8x - 2 = 7x + 5

8x - 7x = 2 + 5

x = 7

Exterior angle at vertex D = (8x−2)º

= 8(7) - 2

= 54º (option D)

Learn more about exterior angle theorem on:

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Answer:

Step-by-step explanation:

total points obtained=141+87+81+91=400

total possible points=150+100+100+100=450

1.

% points obtained=(400/450)×100≈88.89

Jade did not secured more than 88.89 % marks.

2. can't read properly

Below!

You can take 25 as one example and 49 as the second example.

Let's factorize.

Hence, the statement is not true.

Hoped this helped.

Answer:

B)

Step-by-step explanation:

2(n+7)+3n

now you multiply 2 though

2n+14+3n

Add common factors

5n+14

__________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

A,C and D are the answers.

Step-by-step explanation:

I did it on Khan Academy and got it right.

Answer:

B.ON THE EDGE

Step-by-step explanation:

The temperature of the body after 60 minutes is  60.5° F.

Using the Newton's law of cooling;

T(t) =[tex]Ts + (To - Ts)e^-kt[/tex]

T(t) = temperature at time t

Ts = temperature of the surrounding

To = Temperature of object

t = time taken

k = cooling constant

Now;

[tex]T(t) -Ts=(To - Ts)e^-kt\\45 - 67 = (34 - 67)e^-15k\\-22 = -33e^-15k\\-22/-33 = e^-15k\\0.667 = e^-15k\\ln(0.667) = ln( e^-15k)\\-0.405 = -15k\\k = -0.405/ -15\\k = 0.027[/tex]

At t = 60 min

[tex]T(t) = Ts + (To - Ts)e^-ktT(60) = 67 + (34 - 67)e^-( 0.027*60)\\T(60) = \\67 + (-33)e^-( 0.027 * 60)\\T(60) = \\60.5 F[/tex]

T(60) = 60.5° F

Learn more about Newton's law of cooling: https://brainly.com/question/13748261

Answer:

T≈169

Step-by-step explanation:

Enter only the final temperature into the input box.

T_a = 67\hspace{50px}T_0=210

T  

a

​

=67T  

0

​

=210

\text{Write Formula:}

Write Formula:

T=67+(210-67)e^{-kt}

T=67+(210−67)e  

−kt

Plug in givens

\color{blue}{T}=67+143e^{-k\color{green}{t}}

T=67+143e  

−kt

Simplify

\text{Plug in given time and temperature:}

Plug in given time and temperature:

\color{blue}{193}=67+143e^{-k(\color{green}{1.5})}

193=67+143e  

−k(1.5)

Simplify

\text{Solve for }k\text{:}

Solve for k:

193=

193=

\,\,67+143e^{-1.5k}

67+143e  

−1.5k

-67\phantom{=}

−67=

\,\,-67

−67

126=

126=

\,\,143e^{-1.5k}

143e  

−1.5k

\frac{126}{143}=

143

126

​

=

\,\,\frac{143e^{-1.5k}}{143}

143

143e  

−1.5k

​

Divide by 143

0.8811189=

0.8811189=

\,\,e^{-1.5k}

e  

−1.5k

\ln\left(0.8811189\right)=

ln(0.8811189)=

\,\,\ln\left(e^{-1.5k}\right)

ln(e  

−1.5k

)

Take ln of both sides

\ln\left(0.8811189\right)=

ln(0.8811189)=

\,\,-1.5k

−1.5k

\frac{\ln\left(0.8811189\right)}{-1.5}=

−1.5

ln(0.8811189)

​

=

\,\,\frac{-1.5k}{-1.5}

−1.5

−1.5k

​

Divide by -1.5

0.0843751=

0.0843751=

\,\,k

k

k\approx

k≈

\,\,\color{blue}{0.084}

0.084

Round k to nearest thousandth

\text{Complete Formula:}

Complete Formula:

T=67+143e^{-\color{blue}{0.084}t}

T=67+143e  

−0.084t

Plug in k

\text{Find temperature after }\color{green}{4}\text{ minutes:}

Find temperature after 4 minutes:

T=67+143e^{-0.084(\color{green}{4})}

T=67+143e  

−0.084(4)

Plug in time

T=67+143e^{-0.336}

T=67+143e  

−0.336

Multiply

T=169.1911041

T=169.1911041

Plug into the calculator

T\approx 169

T≈169