What is the total cost of a $75.00 item with a sales tax of 4%?
$78.00
$72.00
$79.45
$81.00

Answer:

X= 20 degrees

Step-by-step explanation:

Because all the sides are the same length, we know this triangle is an equilateral triangle. In an equilateral triangle, all the angle measures are the same as well, and the sum of all the angles in a triangle is 180 degrees. So we have the equation:

(3x)3= 180

9x= 180

X =20

Answer:

$5

Step-by-step explanation:

The opposite of multiplication is division.

$15/Raking = 3 times more pay than mowing the lawn.

Divide $15/Raking by 3 and you'll get the pay for mowing the lawn.

15/3 = 5

Answer:

5

Step-by-step explanation:

Step-by-step explanation:

Soln

given,

from the figure

coordinate of B is (5,3),

A(7,0) and C(0,4)

A. solution

let, M(x,y) be the mid point of AB

A(7,0) = (x1,y1)

B(5,3) = (x2,y2)

we know

x = (x2+x1)/2

or, x = (5+7)/2

or, x = 12/2

or, x = 6

and for y

y = (y2+y1)/2

or, y = (3+0)/2

or, y = 3/2

therefore M(x,y) = (6,3/2)

B. solution

let,

C(0,4) = (x1,y1)

B(5,3) = (x2,y2)

equation of line is ;

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

or, (y - 4)/(x -0) = (3 - 4)/(5 - 0)

or, (y - 4)/(x - 0) = -1 / 5

by cross multiply

or, 5×(y - 4) = -1×(x)

or, 5y - 20 = -x

or, x + 5y = 20 is the required equation.

Answer:

Total cost to conduct survey = $2075

Step-by-step explanation:

Given that:

Number of questions on survey = 15

Number of people = 500

Base fee = $1000

Per question charge = $5

Per person surveyed = $2

Let,

q be the number of questions

p be the number of people

Total cost = Base fee + 5q + 2p

Total cost = 1000 + 5(15) + 2(500)

Total cost = 1000 + 75 + 1000

Total cost = $2075

Hence,

Total cost to conduct survey = $2075

Answer:

The answer is (-1,-10)

hope this helps

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

D. (-1, -10)

Step-by-step explanation: I put your question into a math calculator and got this as your answer. Good luck!

Answer:

Basic parabola:  y = ax2 + bx + c

We have 3 points we can plug in for (x, y) to create 3 simultaneous equations

(-2, 24):  24 = 4a - 2b + c   {equation 1}

(3, -1):   -1 = 9a + 3b + c    {equation 2}

(-1, 15): 15 = a - b + c        {equation 3}

Solve this system to find the values of a, b, c

Let's first eliminate variable c:

4a - 2b + c = 24   {equation 1}

 a -  b + c = 15    {equation 3}

---------------------  subtract

3a - b = 9

9a + 3b + c = -1    {equation 2}

 a -  b + c = 15    {equation 3}

--------------------  subtract

8a + 4b = -16

We now have two equations with 2 unknowns we can use to find a, b

3a - b = 9         {equation 4}

8a + 4b = -16   {equation 5}

Multiply equation 4 through by 4 and add equations

12a - 4b = 36

8a + 4b = -6

-----------------   add

20a = 30

a = 30/20

a = 3/2

8a + 4b = -6

8(3/2) + 4b = -6

12 + 4b = -6

4b = -6- 12

4b = -18

b = -18/4

b = -9/2

Plug these 2 values into one of the original equations and solve for c

15 = a - b + c        {equation 3}

15 = 3/2 + 9/2 + c

15 = 12/2 + c

15 = 6 + c

c = 15-6

c = 9

y = (3/2)x2 - (9/2)x+ 9

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Step-by-step explanation:

Answer:

180m

Step-by-step explanation:

Let L = length of field,

W = width of field,

A = field area = 2000 m^2

Lenght = Width + 10m

Let Lenght= x

Width=y

A = X ×Y = (Y + 10)Y= 2000

Y^2 + 10Y- 2000 = 0

Solving using Quadratic eqn with plot

Y= 40 or -50 but we go for the positive root

Width=40m

Length= 40m +10m

= 50m

Perimeter= 2(l+w)

=2(50+40)

180m

Hence, the perimeter is 180 m

CHECK THE ATTACHMENT FOR THE QUADRATIC PLOT

Answer:

180sec

Step-by-step explanation:

180÷60

3

1min =60seconds

60×3

=180secinds

Answer:

[tex]f(x) = 2 {x}^{2} + x \\ at \: that \: point \: given \: \: x = - 1 \\ f(x) = 2 {( - 1)}^{2} + ( - 1) \\ f(x) = 2 - 1 \\ f(x) = 1[/tex]

Answer:

Length of rectangle = 64 inches

Width of rectangle = 32 inches

Step-by-step explanation:

Perimeter of rectangle = 192 in

Length = x

Width = [tex]\frac{1}{2}x[/tex]

We need to find the length and width.

The formula used is: [tex]Perimeter\:of\:rectangle=2(Length+Width)[/tex]

Putting values and finding value of x

[tex]Perimeter\:of\:rectangle=2(Length+Width)\\192=2(x+\frac{x}{2} )\\192=2(\frac{2x+x}{2} )\\192=2(\frac{3x}{2} )\\192=3x\\x=\frac{192}{3}\\x=64[/tex]

So, we get x = 64

The length of rectangle x = 64

The width of rectangle = [tex]\frac{1}{2}x[/tex] = [tex]\frac{64}{2} = 32[/tex]

So, Length of rectangle = 64 inches

Width of rectangle = 32 inches

Answer:

Length of rectangle = 64 inches

Width of rectangle = 32 inches

Step-by-step explanation:

Answer:

-2.46

Step-by-step explanation:

-12.41+9.95=-2.46

9514 1404 393

Answer:

  (5, 1)

Step-by-step explanation:

Reflection across the x-axis negates the y-coordinate:

  (x, y) ⇒ (x, -y) . . . . reflection across the x-axis

Rotation 90° CCW is the transformation ...

  (x, y) ⇒ (-y, x) . . . . rotation 90° CCW

The two transformations together give ...

  (x, y) ⇒ (y, x) . . . . reflection across the x-axis, then rotation 90° CCW

For point B, this gives ...

  B(1, 5) ⇒ B'(5, 1)

Answer:

Andre is wrong

Step-by-step explanation:

Andre is wrong because 1/4 is a positive number and -3/4 is a negative number so that makes Andre wrong for that, but if it is who is closer to 0 then Andre is right because when you look at it on a table you can see that 1/4 is closer.

Answer:

Correct option is (a)

Step-by-step explanation:

According to question in the triangle ΔJKL

JK = 9 and KL =4

according to the condition of triangle sum of two sides must be greater than the third side

Here sum of its two sides is 9 + 4 = 13

⇒ third side must be greater than 13 say 13.2 = JL

therefore, perimeter of triangle ΔJKL is

JK + KL + JL = 9 + 4 + 13.2 = 26.2

Therefore correct option is (a)

Answer:

x = 19

Step-by-step explanation:

x = Courtney's current age

14+x = Mary's current age

Mary's current age: 14 + 19 = 33

14 + x + 5 = 2x

19 = x

Answer:

x=13

Step-by-step explanation:

1. Place 6 in

6=x-7

2. Evaluate

x=6+7

x=13

Answer:

The expression y = 4.85g + 0.83s can be used to determine the total cost.

Step-by-step explanation:

Given that:

Cost per pound of granola bars = $4.85

Cost per pound of sugar = $0.83

Let,

y be the total cost.

According to given statement;

y = 4.85g + 0.83s

Hence,

The expression y = 4.85g + 0.83s can be used to determine the total cost.

Answer:

United States

Step-by-step explanation:

-62 < -55?

Because on the number line, -62 is farther left than -55.

Answer:

There are 25 students in the class.

Step-by-step explanation:

1. Set up an equation. The equation would be 6 = 24/100x.

2. Solve the equation. You can solve this by multiplying both sides by 100/24, and 100/24 * 6 = 25. You would then get that x = 25, which means that the number is 25.

Answer:

25 students

Step-by-step explanation:

25 x 0.24 = 6

Answer:

x = 11 , m∠2 = 31

Step-by-step explanation:

We know that m∠1  is equal to both 6x+8 and 74

Therefore, 6x+8 = 74

And 6x = 66

x = 11

To find m∠2, we just plug in the value of x that we got earlier

(7x-2) + m∠2 = 106

(77-2) + m∠2 = 106

m∠2 = 31

Answer:

so since their goal is to get $450 and each candy box is $3.75, what you do is  divide $3.75 by $450 you will get $120, soooooooooooooooooooooooooooo you times $3.75 by $120 you will get $450.

Step- by-step explanation:

Answer:

7.5

Step-by-step explanation:

Answer:

It's D I think.... Line up B and C with M,N

Answer:

(2,6)

Step-by-step explanation:

Hope this helps!

Answer:

x = 2; y = 6

Step-by-step explanation:

y=3x

x+y=8 [substitute y for 3x]

x+3x=8; 4x=8; x=2

if x=2, y=3x or y=3(2) = 6

Answer:

$52.50

Step-by-step explanation:

What you do is you move the decimal two times to the left from 75%.

0.75*?=?

Take the orginal price and multiply ($30) by 0.75.

0.75*30= $22.50

Take 22.50 and add that to your original amount.

$22.50+$30= $52.50 or $52.5

Answer:

22

Step-by-step explanation: