Heather is selling clothes at a pop up shop this weekend. She knows that for each top (t) she sells she
will make $35, she'll make $25 for each pair of leggings (1), and $55 for each dress (d). Which of the
following expressions represents the total profit Heather will bring in?

Step-by-step explanation:

Putting value of y

2x + x - 5 = 10

3x - 5 = 10

3x = 10 + 5

3x = 15

x = 15/3 = 5

Putting value of x

Y = x - 5

Y = 5 - 5

Y = 0

Option D is the correct answer

Answer:

17

Step-by-step explanation:

Use the Pythogream theorm where c is the hypotenuse.

Answer:

17

Step-by-step explanation:

Using the Pythagory and Theroem

Answer:

Greatest height: 45 meters

Time for greatest height: 3 seconds

Height after 5 seconds: 25 meters above the cliff

Time for height of 40 meters: 7.123 seconds

Height after 7 seconds: -35 meters (35 meters below the cliff)

Step-by-step explanation:

to find the maximum height, we need to calculate the derivative of y in relation to t and then find when dy/dt = 0:

dy/dt = 30 - 10t = 0

10t = 30

t = 3 seconds

In this time, the height is:

y = 30*3 - 5*3^2 = 45 meters

After 5 seconds, the height is:

y = 30*5 - 5*5^2 = 25 meters

The time for the height of 40 meters is:

40 = 30t - 5t^2

t^2 - 6t - 8 = 0

Using Bhaskara's formula, we have:

Delta = 6^2 + 4*8 = 68

sqrt(Delta) = 8.246

t1 = (6 + 8.246) / 2 = 7.123 seconds

t2 = (6 - 8.246) / 2 = -1.123 seconds (negative value for time is not valid)

So the time when the rocket reaches 40 meters is 7.123 seconds

After 7 seconds, the height is:

y = 30*7 - 5*7^2 = -35 meters

The rocket will be 35 meters below the cliff.

Answer:

A=7 B=12

Step-by-step explanation:

Answer:

a,b,d

Step-by-step explanation:

The value of X is 3

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

B. 3

Step-by-step explanation:

→You need to get rid of the (-x + 4) in the denominator, and to do so, you must multiply both sides by it:

[tex]\frac{2x-3}{-x+4} =3[/tex]

2x - 3 = 3(-x + 4)

→Distribute the 3 to (-x + 4):

2x - 3 = -3x + 12

→Add 3x to both sides:

5x - 3 = 12

→Add 3 to both sides:

5x = 15

→Divide both sides by 5:

x = 3

Answer:

V = 204.7 cm³

Step-by-step explanation:

Pythagoras

h = √(6² - 3.5²)

= √(36 - 12.25)

= √23.75

= 4.87

≅ 4.9

A = Ab×H

= b×h/2 × H

= 7cm×4.9cm/2×12cm

= 204.7 cm³

Answer:

Which cone has a volume of 24 7 cm?

-

1

-

-

3.5 cm!

4.5 cm

1

6.5 cm

B = 25.4 cm

1

7/5 cmi

1

8 cm

3 cm

B = 42

Step-by-step explanation:

Answer:

10.7332506947

Step-by-step explanation:

hope it helps !!

If I am wrong please let me know

Answer:

[tex] \frac{3}{\sqrt[5]{y^{3}}} [/tex]

Step-by-step explanation:

The following expression:

[tex] 3y^{-3/5} [/tex]

can be simplified as follows:

First, rewrite the negative exponent,

[tex] 3\frac{1}{y^{3/5}} [/tex]

[tex] \frac{3}{y^{3/5}} [/tex]

And then, rewrite the fraction in the exponent,

[tex] \frac{3}{\sqrt[5]{y^{3}}} [/tex]

Answer:

The answer is SAS. ( Option C )

Step-by-step explanation:

S A S congruence theorem is used to prove △MNP ≅ △ABC.

Given △MNP and △ABC are connect between points B and M.

In △MNP and △ABC

Side PN = Side BC (given)

angle PNM = angle ABC (given)

Side NM = Side AB (since AM and BN are congruent so NM and AB are also congruent)

So, by Side Angle Side Congruence rule  △MNP ≅ △ABC.

Hence S A S congruence theorem is used to prove △MNP ≅ △ABC.

For more details on congruence theorem follow the link:

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Answer:

1875-(175*3)=1350

1350/(2.5*3)=180

The Band Travelled 180 Miles

Step-by-step explanation:

Take the flat fee and multiply for the 3 buses.

Then (based on the info given) take the cost of the miles per hour and multiply by 3

Take that number and divide 1350 by the cost per miles to determine the miles the band traveled

Answer:

1/20!

Step-by-step explanation:

This is a probability question.

There are 5 types of pasta and there are 4 types of flavors.

So the probability of getting bow tie is 1/5 and getting cheese sauce is 1/4

To get both, you need to multiply the types of pasta and flavor

1/20

Answer:

A

Step-by-step explanation:

Since there is no 7 on a standard number cube 1-6, there is no chance that the event can occur. Thus, A the correct answer.

Answer:

Option B is correct

Step-by-step explanation:

A function has form of f(x) = 2x + 3, or y = 2x + 3

To find the inverse of f(x), we are going to represent x in form of y.

To do this, we try to send all components containing x to one side of expression and send the other components to the other side of expression.

Now, let's do it.

y = 2x + 3

We firstly send 3 to the right, change the sign of 3 from + to -, we have:

y - 3 = 2x

We then rearrange both sides to get a standard form:

2x = y - 3

We now divide both sides by 2 to get the expression of x:

(2/2)x = (y - 3)/2

We simplify both sides of expression to obtain final result:

x = (1/2)y - 3/2

=> Inverse of f(x) is x = (1/2)y - 3/2

=> Option B is correct

Answer:

the answer wold be 10.129

Step-by-step explanation:

Perimeter of the parallelogram EFGH is 11.76 units

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

Given,

The coordinates of the parallelogram = E(1,3), F(0,2), G(4,0) and H(5,1)

We know that,

In parallelogram EF=HG and EH=FG

Perimeter of the Parallelogram = 2(a + b)

Distance between EF = a = [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}})^{2} }[/tex]

[tex]=\sqrt{(0-1)^{2} +(2-3)^{2} }\\=\sqrt{1+1} \\=\sqrt{2}[/tex]

a =1.41 units

Distance between EH = b =[tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1}})^{2} }[/tex]

[tex]=\sqrt{(5-1)^{2} +(1-3)^{2} }\\=\sqrt{16+4} \\=\sqrt{20}[/tex]

b =4.47 units

Perimeter of the Parallelogram = 2(a + b)

=2(1.41+4.47)

=11.76 units

Hence,  the Perimeter of the Parallelogram EFGH is 11.76 units

Learn more about Perimeter and Parallelogram here

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Answer:

27/16 chapters completed in 1.5 hours

Step-by-step explanation:

Jeff read 3/8 part in minutes = 20

He read complete chapter in minutes =[tex]\frac{20}{\frac{3}{8}}=\frac{20}{3} \times 8 = \frac{160}{3} minutes[/tex]

60 minutes = 1 hour

[tex]\frac{160}{3} minutes = \frac{160}{3} \times \frac{1}{60}=\frac{8}{9} hours[/tex]

So, No. of chapters completed in[tex]\frac{8}{9}[/tex] hours = 1

No. of chapters completed in 1.5 hours = [tex]\frac{1}{\frac{8}{9}} \times 1.5=\frac{27}{16}[/tex]

So, 27/16 chapters completed in 1.5 hours

Answer:

7161

Step-by-step explanation:

Now we need to find the sum for a series

The formula is

Sn =   (first term)*(1 - r^n)/(1-r)  where n is the number of days and r is the rate

     = 7( 1 -2^10)/ (1-2)

     = 7( -1023)/-1

     = 7161

Answer:

7161

Step-by-step explanation:

I took the test :)

Answer:

7044.5 mm (Please don't be angry on me if I'm wrong, I apologize beforehand)

Step-by-step explanation:

if the upper bound varies from the median by 5, I guess that the lower also varies by 5

thus, 365 * 19.3

7044.5 mm

Please don't be angry on me if I'm wrong, I apologize beforehand

Answer:

-3/5

Step-by-step explanation:

The slope of a perpendicular line is always the negative reciprocal of the slope of the original line.

1/(5/3) * - 1 =  -3/5

The slope of the line that is perpendicular to the graph of y = 5/3 x + 8 is -3/5.

Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.

Given a line,

y = 5/3 x + 8

Comparing with the slope intercept form,

Slope of the given line = 5/3

Any line perpendicular to the given line has a slope which is the negative reciprocal.

Slope of the perpendicular line = -3/5

Hence the required slope is -3/5.

Learn more about Slope here :

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Answer:

  4.  (2√10 +2√17) units

  8.  25/2 square units

Step-by-step explanation:

4.  The length of JK is given by the distance formula ...

  d = √((x2 -x1)^2 +(y2 -y1)^2)

  d = √((3-2)^2 +(6-3)^2) = √(1+9) = √10

The length of KL is given by the same formula:

  d = √(4^2 +1^2) = √17

The perimeter is twice the sum of these lengths:

  P = 2(JK +KL)

  P = 2√10 +2√17

__

8. The area can be computed from coordinates* using the formula ...

  A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|

  A = (1/2)|3(4 -0) +7(0 -7) +4(7 -4)| = (1/2)|12 -49 +12|

  A = 25/2 = 12.5 . . . . square units

_____

* One way to look at the problem is as a set of triangles and a trapezoid. The x-axis is the base of the right triangles with line PQ and PR as hypotenuses. The trapezoid is a right trapezoid with parallel bases extending from the x-axis to points Q and R.

The left triangle area is 1/2(1)(7) = 7/2; the right triangle area is 1/2(3)(4) = 6. The area of the trapezoid is 1/2(4+7)(4) = 22. The area of the triangle of interest is the difference ...

  area PQR = trapezoid area - (sum of triangle areas) = 22 -19/2 = 25/2

__

If point P were not on the x-axis, then the figure could be resolved into 3 right trapezoids in similar fashion. If you were to use points (x1, y1), (x2, y2), and (x3, y3) instead of numerical values, you could obtain the formula shown above.

Answer:

1/2

Step-by-step explanation:

There are 6 sides on the dice. 3 of them are multiples of 2. 3/6=1/2.

Answer:

swer:

Step-by-step explanation:

Here is the breakdown of the distance traveled each hour.

Hour 1: 40

Hour 2: 50

Hour 4: 70

Hour 6: 50

Hour 8: 120

Hour 10: 40

Seeing this, you can clearly see the most traveled was between the sixth and eighth hour (3).

Hope this helps!

Step-by-step explanation:

Answer: See below

Step-by-step explanation:

A linear line is a straight line. It can be going up, down, vertical, or horizontal. As long as it's a straight line, then it is a linear equation. Graph 1 and 5 are linear.

A quadratic graph is a parabola. It is in the shape of a "U". The "U" can be doing up or down. It can also be more than a parabola. Any x to th epower of a number is also a quadratic graph. Graph 2 and 4 are quadratic graphs.

An exponential graph is a graph that is a number to the power of x. These graphs are also continuous. They go towards infinity. Graph 3 and 6 are exponential.

Answer:

F. right angle is correct

Answer: The correct choices are D and F.

Step-by-step explanation:

There are two classifications of triangles shown.

Any triangle can only be two.

The first classification depends on the triangles' angles:

The second classification depends on the triangles' sides:

The triangle given has angles of 36, 54, and 90 degrees. 90 degrees is a right angle, so the triangle is a right triangle.

The triangle given has side lengths of 7, 5.1, and 8.66. No side lengths are equal, so the triangle is a scalene triangle.

The correct choices are D and F.

Answer:

The next number in the pattern is 13.

Step-by-step explanation:

From 1, i add 3 and i get 4, then i add 3 to 4 and get 7 and then i add 3 to 7 to get 10. From here you can quickly observe that you add three to ten to get 13

Answer:

Axis of symmetry line  is parallel to y- axis

Equation of the parabola ( x - ( -2 ))² =  (y - 12 )  

Step-by-step explanation:

Explanation:-

Given equation is y = x²+4 x+16

                            y =  x²+2 (2 ) x + (2)² - (2)² + 16

                           y   = ( x + 2 )² + 12

                         ( x + 2 )² = y - 12

                        ( x - ( -2 ))² =  (y - 12 )  

                         ( x- h)² = 4 a ( y - k)

            Center (h ,k) = ( -2 , 12)

             Here   4 a  = 1

                           a = 1/4

Focus  S = ( h , K +a) = ( -2 , 12 + 0.25) = ( -2 , 12.25)

Axis of symmetry line  is parallel to y- axis

Answer:

C

Step-by-step explanation:

Use the pythagorean theorom

a^2 + b^2 = C^2

convert so it goes to the problem

c^2 - a^2 =b^2

10^2 - 5^ = 100 - 25 = 75

srt. 75 = 5 sqrt.3

Answer:

The hypotenuse = leg 1 + leg 2

Hypotenuse = 10

Leg 1 = 5

Leg 2 = ?

10^2 - 5^2 = x

100 - 25 = 75

Answer = sqrt of 75