Mathematics College

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

Answers

Answer 1

Answer:

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Base Metal: Alloy

Plating: Gold Plated

Stone Type: Cubic Zirconia/American Diamond

Type: Jhumkhas

Multipack: 1

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Answer 2

The statements are true:

The area of the blueprint is square inches

The area of the blueprint is 108 square inches

What is Area of rectangle?

The Area of Rectangle is product of its length to its width.

So, Area of Rectangle = length x width

Given:

length= 12 inch

and width= 9 inch

Area of Blue print = l x w

= 12 x 9

= 108 square inches.

Perimeter of Blue print = 2 ( l+ w)

= 2( 12+ 9)

= 42 inches

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Related Questions

Please hurry!! This assignment is almost due!!

Answers

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!

Suppose ΔDEF has an exterior angle at vertex D. The measure of the exterior angle is (8x−2)º, m∠E=(3x−8)°, and m∠F=(4x+13)°. What is the measure of the exterior angle at vertex D?
A. 7°
B. 13°
C. 41°
D. 54°

Answers

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

Recall:

The exterior angle theorem of a triangle states that the measure of an exterior angle equals the sum of the measures of two opposite interior angles of the triangle.

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)°

Solve for x

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

Combine like terms

8x - 2 = 7x + 5

8x - 7x = 2 + 5

x = 7

Exterior angle at vertex D = (8x−2)º

Plug in the value of x

= 8(7) - 2

= 54º (option D)

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1 4 × √ 2 = 2 n Find N

Answers

7√2 = n

Divide by 2 on both sides.

After sitting in a refrigerator for a while, a turkey at a temperature of 34^\circ34
∘
F is placed on the counter and slowly warms closer to room temperature (67^\circ67
∘
F). Newton's Law of Heating explains that the temperature of the turkey will increase proportionally to the difference between the temperature of the turkey and the temperature of the room, as given by the formula below:
T=T_a+(T_0-T_a)e^{-kt}
T=T
a

+(T
0

−T
a

)e
−kt

T_a=T
a

= the temperature surrounding the object
T_0=T
0

= the initial temperature of the object
t=t= the time in minutes
T=T= the temperature of the object after tt minutes
k=k= decay constant

The turkey reaches the temperature of 45^\circ45
∘
F after 15 minutes. Using this information, find the value of kk, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the turkey, to the nearest degree, after 60 minutes.

Enter only the final temperature into the input box.

Answers

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

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Answer:

T≈169

Step-by-step explanation:

Enter only the final temperature into the input box.

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

=67T

=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=

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

67+143e

−1.5k

-67\phantom{=}

−67=

\,\,-67

−67

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=

\,\,e^{-1.5k}

−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=

\,\,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

Plug into the calculator

T\approx 169

T≈169

What is 2(n+7)+3n simplified and written in factored form?

Multiple choice question.

A)
5n+9

B)
5n+14

C)
3(2n+3)

D)
2(3n+7)

Answers

Answer:

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:)

What are the coordinates of B

Answers

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)

Which of the equations will be a true statement if p = 10 3 ? Select the two choices that apply.
A. 3.4 ÷ p = 0.034
B. 437 ÷ p = 0.437
C. 53.45 ÷ p = 53.45
D. 6,340 ÷ p = 6.34
E. 2,458.2 ÷ p = 24.582

Answers

Answer:A

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

A ———-————————————————————

Suppose that sin a= 15/17 and 90 degrees

Answers

Ok done. Thank to me :>

You buy candy bars at 85 cents each plus one newspaper for 60 cents. You can spend no more than $4. How many candy bars can you buy? answer

Answers

Answer:

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

guys pls ı need help really....

Answers

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]

Somebody please help me with this

Answers

Answer 1.2 angles

and 203 left cm

What is the equation for the parabola with a focus F(13/11,0)?

Answers

Answer:

B.ON THE EDGE

Step-by-step explanation:

Please help me solve this

Answers

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

What is the volume of this rectangular prism?
1
cm
2
4 cm
ola
3
cm
cm3. Because this is hard

Answers

Step-by-step explanation:

Volume=length*width*height

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

= 12/4 = 3cm^3

which is the slope of the line that contains the point (-2,7) and (2,3)

Answers

Answer:

the slope of the line is -2.

Step-by-step explanation:

Alfredo's Towing Service charges $53.27 for its hook-up fee plus $29.25 for every mile, m, they tow your car. The equation that models the total cost (T) is T(m) = 29.25m + 53.27

Which value in the equation represents the rate of change?

A - $82.52
B - $29.25
B - The number of miles towed
C - $53.27

Answers

I am pretty sure it is B, because per mile that changes

~ Also I don’t know if there is supposed to be B twice if so it is both of them

If you had 10 questions on a test and you got 3 wrong what percentage is that?

Answers

Answer:

70% right, 30% wrong

Step-by-step explanation:

3 is 30% of 10

Christina says the graph for the inequality r < -5 will be the same as the graph for the inequality -5 > r. Do you agree or disagree? Justify your reasoning. (Explain) HELP ME

Answers

Answer:

you are in the 45 and 56 zone so yes

Step-by-step explanation:

If you had a choice between playing golf or going to the movies and you chose to go to the movies, what is the opportunity cost of your decision.

Answers

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.

Sebastian said that if a number is a perfect square. then the number is even. Provide two examples that show that the statement is false.

Answers

Answer:

Below!

Step-by-step explanation:

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

Let's factorize.

=> 25 = 5 x 5 = 5² (Which is odd)=> 49 = 7 x 7 = 7² (Which is odd)Conclusion:

Hence, the statement is not true.

Hoped this helped.

Help me(((((((please

Answers

Answer:

I do not know English

Step-by-step explanation:

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At Pathmark, 4 pounds of pork chops cost $12.60 and 5 pounds of ground beef cost $10.25. Find the total cost of 11 pounds of pork chops and 12 pounds of ground beef.

Answers

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

Which relationships have the same constant of proportionality between y and x as the following table?
y
4
32
7
56
8 64
Choose 3 answers:

Answers

Answer:

A,C and D are the answers.

Step-by-step explanation:

I did it on Khan Academy and got it right.

What is the solution to the equation 8b+32=104?

Answers

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

for which value of x does each expression make sense:
(square root) -2x^2
(square root) (-2x)^3

Answers

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

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

[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

Answers

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

how do I solve this?

Answers

Answer:

Step-by-step explanation:

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

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

% points obtained=(400/450)×100≈88.89

Jade did not secured more than 88.89 % marks.

2. can't read properly

Curtis has started to bike every day. His goal is to ride 16.5 kilometers each day. He bikes of that distance on Monday. He bikes 3.5 fewer
kilometers on Tuesday than he did on Monday.
How many kilometers did Curtis bike on Monday and Tuesday combined? Enter the answer in the box.
kilometers
help

Answers

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.

What is unitary method?

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.

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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

Which best describes the solution(s) to the equation 5x - 6 - x - 2x + 2?
There is one solution at x =
1
4
O There is one solution at x = 4.
O There is no solution.
There are infinitely many solutions.

Answers

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

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B.match illustrate by using rectangular regions then solve

C.complete each number sentence by writing the missing fraction then use the shaded regions to show the number sentence

WARNING:
I'LL DELETE YOUR ANSWER IF ITS NOT CORRECT

also theres a picture above

(WITH STEP BY STEP EXPLANATION )

Answers

Fractions can be represented by shading parts of a rectangular region

The simplified expressions are:

[tex]\frac 28 + \frac 24 = \frac 34[/tex].[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex].[tex]\frac 46 -\frac{2}{6}=\frac{2}{6}[/tex].[tex]-\frac{2}{12} + \frac 26 = \frac{2}{12}[/tex].[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]

Complete number sentence

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]

Missing fractions

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

Shaded regions

See attachment for the shaded regions