Cora went on a shopping trip to Lowell. She purchased a calculator originally priced at $75 but discounted 20%. If sales tax in Lowell is 15%, what was the total cost?

Answer:

UY = 14

Step-by-step explanation:

In the given figure

∵ TUV is a triangle

∵ UZ, VX, and TW are medians

∵ UZ ∩ VX ∩ TW at point Y

∴ Y is the point of intersection of the 3 medians

→ By using the 2nd rule above

∵ The point Y divide UZ at the ratio of 2: 1 from the vertex U

∴ UY: YZ = 2: 1

∴ [tex]\frac{UY}{YZ}[/tex] = [tex]\frac{2}{1}[/tex]

→ By using cross multiplication

∵ UY × 1 = YZ × 2

∴ UY = 2YZ

∵ UZ = UY + YZ

∴ UZ = 2 + 1 = 3 parts

∵ UY = 2 parts

∴ [tex]\frac{UY}{UZ}[/tex] = [tex]\frac{2}{3}[/tex]

→ Multiply both sides by UZ

∴ UY =  [tex]\frac{2}{3}[/tex] UZ

∵ UZ = 21

∴ UY =  [tex]\frac{2}{3}[/tex] (21)

∴ UY = 14

Answer:

B now give me brain

• Solution:-

➪ 5 - x - 3 = 0

➪ 5 - 3 - x = 0

➪ 2 - x = 0

➪ 2 = x

Hence, x = 2

Now,

✯ 3x²

➪ 3 × (2)²

➪ 3 × 4

Therefore, 3x² will be = 12.

Answer: 18

Step-by-step explanation:

Answer:

s=18

Step-by-step explanation:

Solve for  s  by simplifying both sides of the equation, then isolating the variable.

Brainly pls :)

Answer:

$715.50 my dudeeee

Step-by-step explanation:

..........

Ralph pays a total of $715.5 for the computer including the sales tax amount.

Percentage is defined as the part of a number in a whole of 100. % is the symbol used to denote the percentage.

Percentage of a number in a whole can be calculated by dividing that number with the whole and then multiply to 100.

Actual price of the computer = $675

Sales tax rate = 6%

Ralph has to pay the actual price and in addition the sales tax to buy the computer.

Amount of sales tax = 6% × 675

                                 = (6/100) × 675

                                 = 0.06 × 675

                                 = $40.5

Ralph should add $40.5 to the actual price.

Total payment made for buying the computer = $675 + $40.5

                                                                             = $715.5

Hence Ralph pays a total amount of $715.5 for the computer.

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Answer:

8

Step-by-step explanation:

1/2(12)=6

Answer:

8

Step-by-step explanation:

1/2(8+4)=6

Answer:

B. 20 = 2g

Step-by-step explanation:

What we see here is a diagram showing a bar of 20 at the top, and a pair of g's bars each taking up half of the 20 bar.

Seeing this, that would mean the 2 bars showing g equal 20, so the equation 20 = 2g is the one which the diagram shows.

Answer:

x=56

Step-by-step explanation:

16 x 7= x * 2

[tex]x=\frac{16 x7}{2}[/tex]

x=56

Hope this helps :)

Answer:

6

Step-by-step explanation:

Coefficient: A number before the variable such as 4 in 4x.

When there is more than one term with coefficient the leading coefficient is always the one that is in the term with the highest exponent:

2x^5 and 6x^8

^8 is bigger than ^5, so that's the leading coefficient.

Answer: The slope is 7

m =7

y + 6 = 7 ⋅ ( x + 9 )

Step-by-step explanation:

Answer:

Approximately 0.6009

The value of tan 31 is 0.6008606.

The branch of mathematics concerned with specific functions of angles and their application to calculations.

As, the angle 31° lies between 0° and 90° (First quad).

So, tangent function is positive in the first quadrant.

Tan 31 degrees= tan (0.54105 . . .) in radians.

As, using degree to radian conversion,

θ(radians) = θ in degrees × (π/180°)

31 degrees = 31° × (π/180°) rad

= 0.5410

So, tan 31°

= tan(0.5410)

= 0.6008606.

Hence, tan 31= 0.6008606.

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Answer:

8x²+7x+14

Step-by-step explanation:

4x²+4x²= 8x²

9x-2x= 7x

14=14

8x²+7x+14

hope it helps! please mark me brainliest

thank you! have a good day ahead

Answer: 3x60=180x2=360+6/2=83 but you have to factor that she will sometimes fly backwards . Then after you that into count the answer is (2x6=42=54) now that you take "x" and turn it to 6 yoy get (5,4)

Step-by-step explanation:

The two ordered pairs are (0.05, 0.1) and (0.1, 0.2).

The graph is shown below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = 4x

y = number of miles

x = number of hours

4 miles per hour.

Now,

The rate is 2 miles per hour.

This means,

y = 2x

Now,

x = 3 minutes = 3/60 hour = 1/20 hour = 0.05 hour

y = 2 x 1/20 = 1/10 miles = 0.1 miles

The ordered pair is (0.05, 0.1)

x = 6 minutes = 6/60 hour = 1/10 hour = 0.1 hour

y = 2 x 1/10 = 1/5 miles = 0.2 miles

The ordered pair is (0.1, 0.2)

Thus,

The ordered pairs are (0.05, 0.1) and (0.1, 0.2).

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Answer:

x=9

Step-by-step explanation:

2x+12=5x-15

3x=27

x=9

Answer:

the value of X in the figure is 0 I think

Answer:

the answer is 18. There are 18 ways to arrange the cars.

Answer:show me

Step-by-step explanation:

Answer:

function 2

Step-by-step explanation:

Answer:

Function 2

Step-by-step explanation:

Answer:

The coordinates of the cross on the scale drawing which locates where Kim can plant the tree is (3.45 cm, 0.58 cm)

Step-by-step explanation:

The question relates to coordinates geometry and the solution can be obtained graphically by construction as shown in the attached drawing

The given parameters of the scale drawing are;

The scale of the drawing is 1 cm = 2 m

The dimensions of the rectangle representing the garden in the scale drawing is given as follows;

The width of the rectangle = 2.5 cm

The length of the rectangle = 4 cm

The required location where the tree is to be planted = 7 m from A and 4 m from point C

Therefore, the location where Kim can plant the tree on the scale drawing is 3.5 cm from point A and 2 cm from point C

Taking the coordinate of point A as the origin, we have;

The coordinates of point A = (0, 0)

∴ The coordinates of point C = (4, 2.5)

The general equation of a circle is (x - h)² + (y - k)² = r²

Where, (h, k) is the coordinate of the center of the circle

The location of the point is on a radius 3.5 cm from point A and a radius 2 cm from point C

Therefore, for point A, we have;

(x - 0)² + (y - 0)² = 3.5²

x² + y² = 12.25...(1)

For point C, we have;

(x - 4)² + (y - 2.5)² = 2² = 4

Which gives;

x² - 8·x + 16 + y² - 5·y + 6.25 = 4

x² + y² - 8·x - 5·y + 22.25 = 4

We have x² + y² = 12.25 from equation (1), therefore, we have;

12.25 - 8·x - 5·y + 22.25 = 4

- 8·x - 5·y = 4 - 22.25 - 12.25 = -30.5

∴ 8·x + 5·y = 30.5

y = (30.5 - 8·x)/5

Therefore, we have;

x² + y² = 12.25 = x² + ((30.5 - 8·x)/5)² = 12.25

Using a graphing calculator we get;

356·x² - 1952·x + 2496 = 0

Which gives;

x = (1952 ± √((-1952)² - 4×356×2496))/(2 × 356)

x = 3.452197227 or 2.03094884081

To two decimal places, we have the coordinates of the points where the tree can be planted given as follows;

Therefore, y = (30.5 - 8×3.452197227)/5 = 0.5764844368

or y = (30.5 - 8×2.03094884081)/5 = 2.8504818547

y = 0.5764844368 or 2.8504818547

To two decimal places, we have the coordinates of the places where Kim can plant the tree are given as follows;

(3.45, 0.58) or (2.03, 2.85)

We note that the point (2.03, 2.85) is at the outside the drawing the area as 2.85 cm is more than 2.5 cm which is the width (height) of the rectangle as shown in the attached drawing created with Microsoft Word.

Therefore, the coordinates of the cross where Kim can plant the tree is (3.45, 0.58)

Answer:

Step-by-step explanation:

Make sure to use protractor and cross tools to get full marks

Thank you

Answer:

there's nothing there

Step-by-step explanation:

Answer:

Step-by-step explanation:

Graph attached represents the relation between amount of oil left in the leaky oil tanker and time.

a). Gradient of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                      = [tex]\frac{(160-120)}{(0-8)}[/tex]

                                      = -5

    A-intercept = 160

b). Linear equation to represent the given relation in the graph will be,

  A = (-5)t + 160

c). At t = 15 minutes,

   A = (-5)(15) + 160

   A = -75 + 160

   A = 85 liters

d). This model is applicable till the container gets fully emptied.

   For A = 0,

   0 = -5t + 160

   t = [tex]\frac{160}{5}[/tex]

   t = 32 minutes

   Therefore, this model is reasonable up to t = 32 minutes.

Answer: c

Step-by-step explanation: if there is no y then its just x=-2

Answer:

c

Step-by-step explanation:

m=y/x and in this case the graph doesn't cross y so ot is valued 0

Answer:

x = 30, -30

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

The answer is A :)

brainliest pls

Answer:

-1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2(3x - 1) ≥ 4x - 6

Step 2: Solve for x

Here we see that any value x greater than or equal to -2 would work as a solution.

Answer:

$48,000

Step-by-step explanation:

Step one:

given data

Principal= $12,800

rate= 12.5%

time = 3 years

Required

The Interest

Step two

SImple interest= PRT/100

substitute

SI= 12800*12.5*3/100

SI=480000/100

SI=$48,000

Answer:

The inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".

Step-by-step explanation:

Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for [tex]\$20[/tex] each.

If the football team needs to raise at least [tex]\$3,000[/tex] for equipment.

To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.

Solution:

Let the ADMHS football team sold [tex]x[/tex] "Jaguar Cards" for [tex]\$20[/tex] each.

Now, the football team needs to raise at least [tex]\$3,000[/tex] for equipment.

So, the inequality to represent the situation is [tex]20x\geq 3000[/tex].

Now, on solving we get,

[tex]20x\geq 3000[/tex]

[tex]\implies x\geq \frac{300}{20}[/tex]

[tex]\implies x\geq 15[/tex]

Hence, the inequality to represent the situation is [tex]20x\geq 3000[/tex] and the team must sell at least [tex]15[/tex] "Jaguar Cards".

The inequality to represent the situation should be 20x≥30,000 and the number of jaguar cards should be 15.

Since

Here we assume Jaguar cards be x for $20 each to raise at least $3,000 for equipment

20x≥30,000

x≥15

Based on this, the above represent the inequality function.

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Answer:

B,C, D

Step-by-step explanation:

Answer:900

Step-by-step explanation:

Rena deposits 900 into the account