Find the distance between each set of points. Round to the nearest tenth, when necessary. (-3, 2) and (1, -6)

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Step-by-step explanation:

circumference of a circle

2×pi×r

area of a circle

pi×r²

r (radius) = diameter/2 = 1.5ft

we shall assume pi to be 3.14

circumference is

2×3.14×1.5 = 3.14×3 = 9.42 ft

area is

3.14 × 1.5² = 3.14×2.25 = 7.065 ft²

The least common denominator for the function \(\frac{11x}{x^2 + 4x - 12} - \frac{7}{2x^2 - 4x}\)

is (x -2).

What is least common denominator?

The least common multiple of a group of fractions' denominators is known as the lowest common denominator, or Least Common Denominator.

According to the given question:

Consider the given expression, \(\frac{11x}{x^2 + 4x - 12} - \frac{7}{2x^2 - 4x}\)

Further simplifying the equation by factorization of the denominator part

= \(\frac{11x}{x^2 + 6x - 2x - 12} - \frac{7}{2x(x-2)}\)

= \(\frac{11x}{(x+6)(x-2)} - \frac{7}{2x(x-2)}\)

= \(\frac{1}{x-2} [\frac{11x}{(x+6)} - \frac{7}{2x}]\)

Therefore, from the above result, it is found that (x-2) is the least common denominator that can be taken.

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Answer:

When a figure is rotated counterclockwise about the origin, its original coordinates of point P (x,y) will now be positioned as P' (-y,x).

X (1,-1) --> X' (1,1)

Y (3,4) --> Y' (-4,3)

Z (5,-1) --> Z' (1,5)

The correct set of image points for triangle X'Y'Z' is X'(1,1), Y'(-4,3), and Z'(1,5).

Step-by-step explanation:

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is rotated 90° counterclockwise the new point is A'(-y, x).

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

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The most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year. Option B

Based on the given equation y = 195(1.10)^x, where x represents the number of years since 2005 and y represents the number of Salad Supreme restaurants, we can draw the following conclusions:

A. Salad Supreme had 110 restaurants in 2005: This conclusion is not supported by the given equation.

B. Salad Supreme is increasing the number of restaurants by 10% each year: This conclusion is supported by the equation.

C. Salad Supreme is increasing the number of restaurants by 195 each year: This conclusion is not supported by the equation.

D. Salad Supreme is increasing the number of restaurants by 110% each year: This conclusion is not supported by the equation. The growth factor of 1.10 (or 10%) indicates a 10% increase each year, not 110%.

Therefore, the most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year.

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Answer:

= –4√5

Step-by-step explanation:

√−80

=√ –( 16 × 5

= √ –(4² × 5)

= –4√5

this is what I think I hope I helped

The length of UO in the rhombus is 24 inches

The given parameters are

Area = 480 square inches

Diagonal RT = 20 inches

The area of the rhombus is calculated as

Area = RT * US/2

Where UO = US/2

So, we have

Area = RT * UO

So, we have

20 * UO = 480

Divide both sides by 20

UO = 24

Hence, the length of UO is 24 inches

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Answer:

Step-by-step explanation:

2x + 4 = 6x - 10

Minus 2x on both sides

4 = 4x - 10

Add 10 on both sides

14 = 4x

Divide by 4 on both sides

14/4 = x

x = 14/4

Simplify fraction

x = 7/2 or x = 3 1/2

Answer:

\(x = -64\\\\y = -63\\\\z = -57\)

Step-by-step explanation:

Diagonally opposite angles of a parallelogram are equal

Therefore

-y - 3 = 60

Add 3 to both sides; -3 terms on left side cancel out

- y = 60 + 3

- y = 63

Multiply both sides by -1

-1(-y) = -1(63)

y = - 63

Another property of a parallelogram is that the angles formed on either end by a side must equal 180°.

Rephrased,

The consecutive or adjacent angles are supplementary which means they add up to 180°

We see that -2z + 6 and 60° are adjacent angles
So

- 2z + 6 + 60 = 180

-2z + 66 = 180

-2z = 180 - 66

-2z = 114

z = 114/-2

z = -57

Similarly

-2x - 8 + 60 = 180

-2x + 52 = 180

-2x = 180 - 52

-2x = 128

x = 128/-2

x = -64

The recursive relation of the data distribution a(n) = a ( n - 1 ) x n - ( n - 1 ).

A sequence of values is defined by a mathematical equation termed as a recursive relation, also known as recursive relation. It derives current value(s) through specified initial value(s) and previous value dependent rule(s). In essence, it generates numeric sequences.

Note that every individual unit can be derived by multiplying the preceding one with a rising integer, and subsequently subtracting a descending integer:

1 x 1 - 0 = 1

1 x 2 - 1 = 1

1 x 3 - 2 = 5

5 x 4 - 3 = 17

17 x  5 - 4 = 71

71 x 6 - 5 = 247

We can deduce the relation of a(n) = a ( n - 1 ) x n - ( n - 1 ).

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Answer:

funny half done find find

Answer: 80%

Step-by-step explanation:

divide 120 by 150 and you get .8 then you move the decimal over 2

Answer: I don’t know much but I still know some! If you ever need help reply to this comment please

Step-by-step explanation:

1. Revised Net Operating Income = $66,760

2. Revised Net Operating Income  =$64,640

3. Revised Net Operating Income  =$52,

1. If the sales volume increases by 40 units:

So, New Sales = 8,700 units + 40 units = 8,740 units

and, New Contribution Margin =

= $14.00 x 8,740 units

= 122, 360

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 122360 - 55600

= 66,760.

2. If the sales volume decreases by 40 units:

New Sales = 8,700 units - 40 units = 8,660 units

New Contribution Margin

= 14 x 8660

= 121,240

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 65,640

3. If the sales volume is 7,700 units:

New Sales = 7,700 units

New Contribution Margin

= 14 x 7700

= 107,800

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 52, 200

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Answer:

The expressión is:

10(a+14) = 9a

and the number is:

-140

Step-by-step explanation:

The expression is:

10(a+14) = 9a

then:

10*a + 10*14 = 9a

10a + 140 = 9a

10a - 9a = -140

a = -140

Check:

10(-140+14) = 9*140

10*-126 = 1260

Answer:

-6.87

Consider the opposite symbol

(Negative and Positive)

Answer: 1,000 cm^3

Step-by-step explanation:

10*10*10=1,000 cm^3

Answer:

1:A

3:C

hope this help

Answer:

Step-by-step explanation:

375355

Answer:

Radius is 4.5

Step-by-step explanation:

Radius is always half the diameter.

Answer:

The number which is exactly in between 1/3 and 7/8 will be their average. The average = (1/3 + 7/8) / 2 = (8/24 + 21/24) / 2 = (29/24) / 2 = 29/48.

The loss percentage is 91%.Given that Venessa bought 80 apples for 4$, out of these apples, 25% were rotten and had to be thrown away. Venessa sold the remaining apples at 6 cents per apple.To calculate the profit or loss percentage, we need to determine the cost price, selling price, and the number of apples sold.

Cost price (CP) = 4 $.Selling price (SP) = 80 × 0.75 × 6 cents= 36 cents = 0.36 $.Now, let's calculate the profit.Profit = SP – CP= 0.36 $ – 4 $= – 3.64 $Loss = CP – SP= 4 $ – 0.36 $= 3.64 $.

Therefore, Venessa incurred a loss of $3.64 when she sold 80 apples at 6 cents per apple.Now let's calculate the loss percentage Loss Percentage = (Loss / CP) × 100= (3.64 / 4) × 100= 91%.

Therefore, the loss percentage is 91%.Note: If the result obtained after the subtraction of SP from CP is negative, it means there is a loss, and the percentage of loss can be calculated by (loss/CP) × 100.

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Answer:

38

Step-by-step explanation:

Mean = sum of numbers / total number

30 = sum of numbers / 5

sum of numbers = 30 x 5 = 150

28 = sum of numbers / 4

Sum of numbers = 28 x 4 = 112

Difference = 150 - 112 = 38

Answer:

y–y1 =m (X–X1)

y–2=3(x–4)

y=3x–10

S={-5,-10,-15,-20,-25......}; these are few negative multiples of 5 as stated in the set builder form of set theory {x :x is a negative multiple of 5}.

A set contains elements or members that can be mathematical objects of any kind, including numbers, symbols, points in space, lines, other geometric shapes, variables, or even other sets. A set is the mathematical model for a collection of various things.

Set builder notation is a type of mathematical notation used to describe sets by listing their components or highlighting the requirements that each member of the set must meet. We write sets in the form of in the set-builder notation. 

{y | (properties of y)} OR {y : (properties of y)}

Here,

{x :x is a negative multiple of 5}

S={-5,-10,-15,-20,-25.....}

According to the set builder form of set theory, {x:x is a negative multiple of 5}  S={-5,-10,-15,-20,-25...}; these are a few negative multiples of 5.

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Answer: 6 feet describes the center, and 9 feet describes the spread

Step-by-step explanation:

The center of a data set is mostly considered as the median or the mean

Here mean is 6 (given). And median is also 6. As 6 is exactly at the middle of the data set. (When arranged in ascending order)

Now, one of the way of calculating the spread is calculating the range, here it's given that the range is 9.

Therefore, 6 feet describes the center, and 9 feet describes the spread is correct.