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Answer: 0ft < X ≤ 5.73ft

Step-by-step explanation:

In this case, we have a rectangle.

For a rectangle of length L and width W, the area is:

A = L*W.

And we have:

L = X

W = X  + 3ft.

Then the area will be:

A = X*(X + 3ft) = X^2 + 3ft*X.

And we want to have a maximum area of 50ft^2.

Then we can write:

A = X^2 + 3ft*X ≤ 50ft^2

Now let's solve this for X.

Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.

Then makes sense start for the upper limit of X, this is when:

X^2 + 3ft*X = 50ft^2.

Now we can solve the quadratic equation:

X^2 + 3ft*X - 50ft^2 = 0

Applying the Bhaskara formula, the solutions are:

[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]

Then we have two solutions:

X = (-3ft - 14.46ft)/2 = -8.73 ft.

X = (-3ft + 14.46ft)/2 = 5.73 ft

Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.

This is the maximum value of X, and we will have:

0ft < X ≤ 5.73ft

Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.

Answer:

1. A is congruent to C

2. Given

3. I think line ac is congruent to line ce, don't know the options

4. angle ABC is congruent to angle DCE

5. Possibly vertical angles

Answer:

              [tex]\bold{a_1=-9\,,\quad a_2=-7\,,\quad a_2=-5\,,\quad a_4=-3}[/tex]

Step-by-step explanation:

[tex]a_n=2n-11\\\\a_1=2(1)-11=2-11=-9\\\\a_2=2(2)-11=4-11=-7\\\\a_3=2(3)-11=6-11=-5\\\\a_4=2(4)-11=8-11=-3[/tex]

Answer:

36 is the answer

Answer:

117 yd/1 x 3 ft/1 yd = 351 ft

Step-by-step explanation:

[tex]\frac{117}{1} * \frac{3}{1} = 351 ft[/tex]

A runner sprinted for 351 feet.

Given that, a runner sprinted for 117 yards (yd).

To convert a yard measurement to a foot measurement, multiply the length by the conversion ratio. The length in feet is equal to the yards multiplied by 3.

Here, multiply the ratio 117/1 by 3/1.

That is, 117 × 3 =351 ft

Therefore, a runner sprinted for 351 feet.

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Answer:

9 miles, or 47520 feet :)

Step-by-step explanation:

Answer:

47520

Step-by-step explanation:

3x3=9

5280*9=47520

Answer:

...infinity cubic inches?

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

x=5 produces y=3 and y=5 so the relation is not a function.

Yes that is function by looking that this

y

Answer:

Commutative Property

Step-by-step explanation:

The commutative property shows two values or equations that are similar, but in a different order.

Examples:

3 + 4 = 4 + 3

5x + 2h = 2h + 5x

The inequality as per the given statement will be equal to 3 < x < 7.

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the information in the question,

Let the number is x.

x is less than 7.

x < 7 and,

x is greater than 3,

So, x > 3

So, it can be written in combined form as:

3 < x < 7

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Answer:

the first rectangle im pretty sure is 32

the second one is 12.8

Step-by-step explanation:

half of 8 is 4 and half of 25.6 is 12.8

Answer:

808

Step-by-step explanation:

The points are (-5,7) and (10,1). The slope of the points is -2/5.

Any two different points on a line can be used to calculate the slope of any line. The slope of a line formula is used to determine the ratio of "vertical change" to "horizontal change" between two different points on a line.

Given that,

The points are (-5,7) and (10,1).

We have to find the slope of the points.

The relationship between how a line's y coordinate changes and how its x coordinate changes determines a line's slope. y and x are the net changes in the y and x coordinates, respectively. As a result, the change in y coordinate with regard to the change in x coordinate can be written as,

Slope of the points=[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Here,

x₁=-5,

y₁=7

x₂=10

y₂=1

Slope of the points [tex]= \frac{1 - 7}{10 + 5}[/tex]

Slope of the points =(-6)/(15)

Slope of the points = -2/5

Therefore, the slope of the points is -2/5.

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Answer:

14

Step-by-step explanation

you start at 7$ then you add 2$ per cookie to get the total in this case you can fit 14 cookies for 35$

Answer:

The statement is;

A number is a prime number if and only if it has 1 and itself as factors

The truth value of this statement is true T

Step-by-step explanation:

The biconditional statement will use the statements if and only if.

Thus, we have;

A number is a prime number if and only if it has only 1 and itself as factors

The truth value of the biconditional statement is T ( true)

Answer:

12^16= 184884258895036400

12^4= 20736

Answer:

The tax is 2.28

Step-by-step explanation:

Take the cost of the shoes and multiply by the tax rate

35 * 6.5%

Change to decimal form

35 * .065

2.275

Round to the nearest cent

2.28

The tax is 2.28

Answer:

243

Step-by-step explanation:

(5-2) = 3

3 to the power of 5 is 3x3x3x3x3

3x3x3x3x3 = 243

Answer:

(5-2)^5= (3)^5 = 3*3*3*3*3 = 9*9*3 = 243

Step-by-step explanation:

Answer:

i got b and h{i hope this helps}

Step-by-step explanation:

Answer:

The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.

Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.

You can see the image below, where i did a rough sketch of the problem.

in the image, you can see that the sides of this rectangle are the ones formed by the pairs:

(-4,3) and (-2, 8)

(-2, 8) and (2, 5)

(2,5 ) and (1, -7)

(1, - 7) and (-4, 3)

Now let's calculate the length of each side.

Remember that when we have two points (a, b) and (c, d) the distance is:

D = √( (a - c)^2 + (b - d)^2)

Now we need to calculate four distances:

(-4,3) and (-2, 8)

D1 = √( (-4  + 2)^2 + (3 - 8)^2) = 5.39

(-2, 8) and (2, 5)

D2 = √( (-2  - 2)^2 + (8 - 5)^2) = 5

(2,5 ) and (1, -7)

D3 = √( (2  - 1)^2 + (5 + 7)^2) = 12.04

(1, - 7) and (-4, 3)

D4 = √( (1  +4)^2 + (-7 -3)^2) = 11.18

Now we add those four distances to get the perimeter:

P =  5.39 + 5 + 12.04 +  11.18 = 33.61

And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:

p = 37

Answer:

a) 300m

b) 15 miles

Step-by-step explanation:

a) 1 : 30 000

=  1x 30 000

=  30 000cm

=  30 000cm/ 100                           Representing in metres

=  300m

b) 1 : 6

=  1x 2.5 : 6x 2.5

=  2.5 : 15

=  15 miles

Answer:

acc. to me it should be

[tex] \sqrt{50} [/tex]

Answer: 0.08

Dont belive the dummy that said 0.30

Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

Given information:

Antonio's dad bought gas for their family's ATV two weeks in a row.

Last week, he bought 12 gallons for $35.40.

This week, he bought 9 gallons for $25.83.

So, the cost of one gallon for last week is,

[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]

The cost of one gallon for this week is,

[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]

So, the extra charge paid by his dad for the last week for one gallon will be,

[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]

Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

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Answer:

Number of students in each group = 8

Step-by-step explanation:

kevin and monica led the same number of vistors.

Let x = number of students in each group

Kevin lead 150 adults, plus 6 student groups.

150 + 6x

Monica led 134 adults, plus 8 student groups.

134 + 8x

Equate both equations

150 + 6x = 134 + 8x

Collect like terms

150 - 134 = 8x - 6x

16 = 2x

Divide both sides by 2

x = 16 / 2

= 8

x = 8

Number of students in each group = 8

Answer:

A=250

B=10

Step-by-step explanation:

You plug in 10 for x and solve

Answer:

whats the question here

Step-by-step explanation:650 rent

Answer:

x+5

Step-by-step explanation:

Answer:

which expression represents the measure of segment RS? x + 5

Step-by-step explanation:

on engenuity