Roy wants to make a path from one corner of his yard to the other as shown below. the path will be 4 feet wide. he wants to find the area of lawn that remains. a rectangle has a height of 40 feet and a base of 15 feet. a 4 feet wide path forms a parallelogram inside of the rectangle. roy claims that the area of the lawn is 300 square feet since it covers exactly one-half of the yard. which statement about his claim is correct? he is incorrect. the path will have an area of (4) (40) = 160 sq ft. the yard has an area of 600 sq ft. the area of the lawn will be the difference of the yard and path, so it is 440 sq ft. he is incorrect. the path will have an area of one-half (4) (40) = 80 sq ft. the yard has an area of 300 sq ft. the area of the lawn will be the difference of the yard and path, so it is 220 sq ft. he is incorrect. the path will have an area of (4) (40) = 160 sq ft. the yard has an area of 300 sq ft. the area of the lawn will be the difference of the yard and path, so it is 140 sq ft. he is incorrect. the path will have an area of (9) (40) = 360 sq ft. the yard has an area of 600 sq ft. the area of the lawn will be the difference of the yard and path, so it is 240 sq ft.

The given expression is equivalent to 2.0x-32.

We have given that

4(0.5x-8)

We have to determine the equivalent expression.

We have to use the distributive property here

a(b+c)=ab+ac

Therefore, by using the distributive property we have,

4(0.5x-8)=2.0x-32

Therefore the given expression is equivalent to the first option

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Answer: 4331ml, 4850mm, 25.6m, 133cm, 320g, 0.000185km, 0.0014km, 500g

Step-by-step explanation: All listed above

Answer:

4[tex]x^{2} - 2x^{2} = 16\\x^{2} - 4 = 16\\ ||||-4 ||-4||\\x^{2} =20\\\\\sqrt{x} ^{2} = \sqrt{16} \\x = 4[/tex]

Step-by-step explanation:

x

The time of flight of the rabbit whose motion is described rounded to the nearest hundredth is; 0.71s

According to the task content;

It follows that the motion of the rabbit was a projectile motion.

Hence, the time of flight of the rabbit is;

T = 2(7) sin 30/9.8.

T = 0.71s

On this note, the time of flight for which the rabbit stayed in the air is; 0.71s.

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Answer:

104.5 is what I got, tell me if that's wrong.

Answer:

104 1/2

Step-by-step explanation:

The answer is 104 1/2 since the formula for volume is LWH. You have to do 6 1/3*3*5 1/2.

6 1/3=19/3

5 1/2=11/2

19/3*3/1=57/3.

57/3*11/2=627/6.

627/6=104.5 or 104 1/2.

Answer:

361

Step-by-step explanation:

it's 361 :)........

Answer:

[tex] x = 0 [/tex]  or  [tex] x = -\dfrac{11}{3} [/tex]

Step-by-step explanation:

I assume the denominators are x + 5 and x + 4 although that is not what you wrote.

[tex] \dfrac{4x}{x+5} = \dfrac{x}{x+4} [/tex]

[tex] (x + 4)(x + 5)\times \dfrac{4x}{x+5} = (x + 4)(x + 5) \times \dfrac{x}{x+4} [/tex]

[tex] (x + 4)(4x) = (x + 5)(x) [/tex]

[tex] 4x^2 + 16x = x^2 + 5x [/tex]

[tex] 3x^2 + 11x = 0 [/tex]

[tex] x(3x + 11) = 0 [/tex]

[tex] x = 0 [/tex]  or  [tex] 3x + 11 = 0 [/tex]

[tex] x = 0 [/tex]  or  [tex] 3x = -11 [/tex]

[tex] x = 0 [/tex]  or  [tex] x = -\dfrac{11}{3} [/tex]

Answer:

The total perimeter here is P =21x + 7

Step-by-step explanation:

Let W and L represent the width and length of the rectangle.  Then the perimeter is P = 2W + 2L.  Substituting 3x + 1 for W and 3(3x + 1) for L, we get

P = 2(3x + 1) + 2*3*(3x + 1), or P = 7(3x + 1) = P =21x + 7

Answer:

-6

Step-by-step explanation:

Based on order of operations/ pemdas

Answer:

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values.

Step-by-step explanation:

no

Answer:

A. 7 and 8

Step-by-step explanation:

Mode is the number that has occured the most often. 7 and 8 both occured the most

Answer:

OPTION C

Step-by-step explanation

MODE MEANS THE NUMBER THAT OCCURED THE MOST OUT OF  THE BUNCH

The length of segment YT will be equal to 12 units as the line segment XY is dilated to create line segment X'Y' using point t as the center of dilation.

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

Triangles XYT and X'Y'T are similar to the AA Similarity Theorem

[tex]\dfrac{XT}{YT}=\dfrac{X'T}{Y'T}[/tex]

substitute the given values

[tex]\dfrac{8}{YT}=\dfrac{6}{9}[/tex]

[tex]YT=\dfrac{9\times 8}{6}[/tex]

[tex]YT=12\ units[/tex]

Hence the length of segment YT will be equal to 12 units as the line segment XY is dilated to create line segment X'Y' using point t as the center of dilation.

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Answer:

b

Step-by-step explanation:

took the test

Answer:

do addof. old books and new

Answer:

The following is equivalent to -1.

Step-by-step explanation:

[tex]\text{Use PEMDAS to solve this equation.}\\\frac{4^3/(-12+2^2)}{(2*3)^2+(-5*2*3)+2}\\\text{Evaluate 2 squared in the first parenthesis.}\\\frac{4^3/(-12+4)}{(2*3)^2+(-5*2*3)+2}\\\text{Evaluate -12 + 4 in the first parenthesis.}\\\frac{4^3/-8}{(2*3)^2+(-5*2*3)+2}\\\text{Evaluate 2 times 3 in the next parenthesis.}\\\frac{4^3/-8}{(6^2+(-5*2*3)+2}\\\text{Evaluate -5 times 2 in the next parenthesis.}\\\frac{4^3/-8}{6^2+(-10*3)+2}\\\text{Evaluate -10 times 3 in that parenthesis.}\\[/tex]

[tex]\frac{4^3/-8}{6^2-30+2}\\\text{Now that the parenthesis are finished, start evaluating exponents, start in the numerator.}\\\frac{64/-8}{6^2-30+2}\\\text{Evaluate the remaining exponent.}\\\frac{64/-8}{36-30+2}\\\text{Evaluate the division in the numerator.}\\\frac{-8}{36-30+2}\\\text{Finally, evaluate the numbers in the denominator.}\\\frac{-8}{6+2}\\\frac{-8}{8}\\\text{Divide -8 by 8 to get your final answer:}\\-1[/tex]

Answer:

B. -6 ≤ x ≤ -4

Step-by-step explanation:

1. Rewrite the inequality in standard form:

x² + 2x - 24 ≤ 0

2. Factor x² + 2x - 24:

(x-4)(x+6) ≤ 0

3. Identify the intervals:

x - 4+4 = 0+4, x + 6-6 = 0-6

x = 4, x = -6

In conclusion:

-6 ≤ x ≤ -4

hope this helps!

Answer:

x=-5

Step-by-step explanation:

-12x-7=53

     +7=+7

-12x=60

divide both sides by negative 12

60/-12= -5

so x =-5

The solution of the linear equation with a single variable - 12x - 7 = 53 will be -5.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The equation with a single variable 'x' is given below.

- 12x - 7 = 53

Simplify the equation, then we have

- 12x - 7 = 53

- 12x = 60

x = 60 / (-12)

x = - 5

The solution of the linear equation with a single variable - 12x - 7 = 53 will be -5.

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360

Step-by-step explanation:

im not too sure tho

Step-by-step explanation:

Add all the money

$5+ 0.25+ 0.40= $5.65

The population parameters that describe the y-intercept and slope of the line relating y and x are β₀ and β₁ respectively.

A population model can be represented by the equation:

[tex]\mu_y=\beta_1x + \beta_o[/tex]

Where μy is the population mean, β₀ is the y intercept and β₁ is the slope of the line

The population parameters that describe the y-intercept and slope of the line relating y and x are β₀ and β₁ respectively.

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Answer:

The answer is 380.8

Step-by-step explanation:

476 is 125% of 380.8

Answer: 380.8

Step-by-step explanation: 125 % of 380.8 is 476 . This means 380.8 is the total because in percentage what comes after the word of is the total . PLEASE GIVE BRAINLIEST .THANKS HOPE IT HELPS .

[tex]\begin{array}{|c|ccccc|} \cline{1-6} x&0&1&2&3&4\\ \cline{1-6} y&2&1&0&-1&-2\\ \cline{1-6} \end{array}[/tex]

to get the slope of any straight line, we simply need two points off of it, hmm from the table let's use hmmm (2 , 0) and (4 , -2)

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}}\implies \cfrac{-2}{2}\implies -1[/tex]

Step-by-step explanation:

To find the slope, take 2 points from the graph. I'm going to pick (0,2) and (1,1). Whenever we find the slope this way, we need to keep this formula in mind:

[tex] \frac{y2 - y1}{x2 - x1} = slope[/tex]

So, in this case, we need to do this:

[tex] \frac{1 - 2}{1 - 0} = \frac{ - 1}{1} [/tex]

So the answer is -1.

If you need any further explanations, let me know!

Answer:

B: 523.3¯ cm3

Step-by-step explanation:

V = 4/3 * pi * r^3

V = 4/3 * 3.14 * 5^3

V = 4/3 * 3.14 * 125

V = 523.333333 cm3

Answer:

Answer A

Step-by-step explanation:

The measure of center that would best describe a typical value of the data set is a mean since the values are close.

It should be noted that the measure of center include the mean, median, mode, and the mid-range.

In this case, when there is a close distribution of different numbers, he beta measurement will be the mean.

Therefore, the mean of the numbers will be:

= (20 + 21 + 21 + 25 + 20 + 23 + 27 + 23 + 24 + 25 + 26 + 24 + 23 + 22 + 24)/15

= 348/15

= 23.2

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Answer:

The mean would be best, because the data distribution is nearly symmetrical

Step-by-step explanation:

Given : number -3/4 - and  number line​

To Find :  represent -3/4 - on number line​

Solution:

Numbers with a negative sign are less than zero

Right of zero represented by ‘+’ sign and to the left of zero represented by ‘–’ sign.

+ sign numbers can be denoted as simply numbers  

On a number line the number increases as we move to the right and decreases as we move to the left.  

1 : Draw a line and mark some points at equal distance on it

Mark a point as zero on it. Points to the right of zero are positive integers and are marked simply 1, 2, 3  and so on , while points to the left of zero are negative integers and are marked – 1, – 2, – 3 and so on

- 3/4

Divide number line between -1 & 0  in  4 Equal parts and go 3 part left of 0 to show - 3/4 on number line

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[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Angles.

Angle ED = 90° - 15° ==> 75°

Angle COB = 180° - 15° ==> 165°

Angle AB ==> 15° ..( vertically opposite angles)

Angle BOE ==> 90° + 15° ==> 105°

Answer

4

√

5

5

Step-by-step explanation: