Jocelyn has a points card for a movie theater. She receives 25 rewards points just for signing up. She earns 12.5 points for each visit to the movie theater. She needs 170 points for a free movie ticket. How many visits must Aria make to earn a free movie ticket?

Explanation:

Each pencil has a profit of Rs 1.25 since [tex]\text{revenue} - \text{cost} = 5.75 - 4.50 = 1.25[/tex]

Multiply that result with 20 to get the final answer shown above in bold.

The coordinates of midpoint M is (3,-4)

It is given that AB is a line segment whose end points A ( 4,6) and B (2.-14) and M is the midpoint

We need to find out the coordinates of midpoint  M which can be found out using the mid point formula  which is (x1 + x2/2 , y1 +y2/2)

the x coordinate of the midpoint M of line segment AB = 4 + 2/2

                                                                                               = 6/2

                                                                                                = 3

the y coordinate of the midpoint M of line segment AB = 6+ (-14) /2

                                                                                               = -8/2

                                                                                               = -4

Hence the coordinates of the midpoint M of line segment AB is (3,-4)

In geometry, the midpoint is the center point of a line section. it's far equidistant from each endpoints, and it's far the centroid each of the segment and of the endpoints. It bisects the section.

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Answer:

2 550

Step-by-step explanation:

Total no. of people who already have a decision, as a % =  45%+38% = 83%

No. of people who haven't decided yet, as a % = 100% - 83% = 17%

No. of people who haven't decided = 15 000 x 17/100 = 2 550

The actual area of the space for Joseph's new grill in square inches is 1280cm².

It should be noted that Joseph uses a scale of 2 cm for every 5 inches.

It should be noted that the drawing is 80inches by 100 inches.. Therefore, the original shape will be:

= 80 × 2/5 = 32

= 100 × 2/5 = 40

Therefore, the area will be:

= Length × Width

= 32 × 40

= 1280cm².

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Jospwh has a drawing of 80 inches by 10 inches. After making several scale drawings,Joseph decides on the best placement for a new grill on his desks.He uses a scale of 2 cm for every 5 in. what is the actual area of the space for Joseph's new grill in square inches?

Answer:

I'm pretty sure the answer is A

Step-by-step explanation:

Hope this helps:).......if not then sorry for wasting your time and may God bless you<3

Answer:

c = (y + bd) / b

Step-by-step explanation:

Use the distributive property to open the parentheses.

b(c - d) = y

bc - bd = y

Move the bd to the other side

bc = y + bd

Move the b to the other side

c = (y + bd) / b

Hope this helped! Have a great day!

According to the scale model, the bus has a real length of 252 inches (21 feet).

Scales are ratio between two lengths, scales are an useful resource to represent systems in affordable dimensions (i.e. The Empire State Building in a piece of paper). In this case, scales are defined by the following formula:

r = l' / l

Where:

If we know that r = 1 / 21 and l' = 12 in, then the real length of the bus is:

l = l' / r

l = 12 in / (1 / 21)

l = 252 in

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The nearest whole number 83.92 - 47.23=37(rounding off)

Given,

83.92 - 47.23=36.69

The whole number is 0,1,2,3...

Rounding a number refers to the act of simplifying a number such that its value remains near to what it was. The outcome of rounding off a number is less precise but more convenient to utilize. We consider the place value of digits in a number when rounding it.

Let us look at an example to better grasp the notion of rounding. Susan walked 2.05 miles, which she estimated to be around 2 miles.

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ln e³ = 3, by definition and properties of logarithm.

Now,

As seen by the definition of logarithms, [tex]log_b(a)=x[/tex]

In case of natural logarithm, b = e, i.e., [tex]log_e(a)[/tex] = ln (a) = x

In the question, ln (e)³, a = e

By property of logarithms, [tex]log_b(a^m) = m(log_b(a))[/tex] ,

=> 3 (ln (e)) = 3 [tex]log_e(e)[/tex]

Since, [tex]log_e(e)[/tex] = 1, ln (e)³ = 3 (1) = 3.

Hence, ln e³ = 3, by definition and properties of logarithm.

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Values of x are 0, 6 + ✓48i/2 and 6 - ✓48i/2.

3 + [tex]{(4 - x)}^{3/2}[/tex]= 11

Subtracting 3 on both sides of the equation, we get

3 + [tex]{(4 - x)}^{3/2}[/tex]- 3 = 11  - 3

[tex]{(4 - x)}^{3/2}[/tex]  = 8

Squaring both the sides of the equation, we get

[tex] {(4 - x)^{3/2 \times 2} }[/tex] = 8²

(4 - x)³ = 64

Using the identity (a - b)³ = a³ + b³ + 3a²b - 3ab², we get

4³ + x³ + 3×4²x - 3×4×x² = 64

64 + x³ + 48x - 12x² = 64

x³ - 12x² + 48 = 0

Taking x common from the above equation, we get

x(x² - 12x + 48) = 0

x = 0 and x² - 12x + 48

Sovling the quadratic equation x² - 12x + 48, we get

x = -b+✓(b² - 4ac)/2a and  -b-✓(b² - 4ac)/2a

x =  -(-12)+✓((-12)² - 4(1)(48))/2(1) and -(-12)-✓((-12)² - 4(1)(48))/2(1)

x = 12+✓(144-192)/2 and 12-✓(144-192)/2

x = 12+✓-48/2 and  12-✓-48/2

x = 12+✓48i/2 and 12-✓48i/2

x = 6+✓48i/2 and 6-✓48i/2

Thus, the values of x are 0, 6+✓48i/2 and 6-✓48i/2

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Answer:

figurative

Step-by-step explanation:

this is because its using something else to paint a picture as to HOW something is, for ex. HOW bright the moon is.

The two ways to generate fractions equivalent to a given fraction include:

A Multiply the numerator by a nonzero number or divide the denominator by a nonzero number.

B..Multiply or divide the numerator and denominator by the same nonzero number.

It should be noted that equivalent fractions simply means the fractions that are the same when reduced to their lowest terms.

It should be noted that multiplying the numerator by a nonzero number or divide the denominator by a nonzero number as.also.doung the same for the numerator and denominator by the same nonzero number will given an equivalent fraction.

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CONVERSE = 2

INVERSE= 1

CONTAPOSITIVE=3

If  Mr. Mady opens a savings account with principal P dollars that pays 2.11% interest compounded quarterly. His ending balance after one year algebraically is: A = P(1 + 0.0211/4)^4.

Given:

Rate= 2.11%

Now let express Mr Mady ending balance after one year algebraically by using this formula

A=P(1+r/n)^n

Where:

A = Future value

P=Principal

r= Rate

N=Number of period

Let plug in the formula

A = P(1 + 0.0411/4)^4

Therefore If  Mr. Mady opens a savings account with principal P dollars that pays 2.11% interest compounded quarterly. His ending balance after one year algebraically is: A = P(1 + 0.0211/4)^4.

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The dimensions of the rectangular figure is width of 34.5 meters and length of 141 meters.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represents the width (in meters) of the figure, and y represents the length (in meters). Hence:

y = 4x + 3

4x - y = -3    (1)

Also:

2x + 2y = 351    (2)

From both equations:

x = 34.5, y = 141

The dimensions of the rectangular figure is width of 34.5 meters and length of 141 meters.

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Answer:

Step-by-step explanation:

ANSWER:  

about 2.085

Based on the triangle midsegment theorem, the length of HI is: 8 units.

Every triangle has three midsegments. A midsegment of a triangle can be described as the segment that intersects two sides of a triangle at their midpoint.

For example, in the diagram given, the midsegments in triangle GHI are segments JL, KL, and JK.

According to the triangle midsegment theorem:

JL = 1/2(HI)

KL = 1/2(HG)

JK = 1/2(GI)

Given that, JL = 4 units, applying the triangle midsegment theorem, we would have:

JL = 1/2(HI)

4 = 1/2(HI)

Multiply both sides by 2

2(4) = 1/2(HI)(2) [multiplication property]

8 = HI

HI = 8 units

In conclusion, based on the triangle midsegment theorem, the length of HI is: 8 units.

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Since 8>3

[tex]f(8) = 7[/tex]

The value of the expression (3.5^7/3.5^6)^2 is 12.25

The expression is given as

3.5 raised to the seventh power divided by 3.5 raised to the sixth power, all raised to the second power.

Rewrite properly as

(3.5^7/3.5^6)^2

Apply the law of indices

So, we have

(3.5^7/3.5^6)^2 = (3.5^7-6)^2

This gives

(3.5^7/3.5^6)^2 = (3.5)^2

Evaluate the exponent

(3.5^7/3.5^6)^2 = 12.25

Hence, the value of the expression (3.5^7/3.5^6)^2 is 12.25

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Answer:

[tex]162 \pi[/tex]

Step-by-step explanation:

Volume of a cone is
[tex]V = \dfrac{1}{3}\pi r^2h[/tex]

where r = radius, h = height

So

[tex]v = \dfrac{1}{3} \pi \times 9^2 \times 6\\\\= \dfrac{1}{3} \pi \times 81 \times 6\\\\= 162 \pi[/tex]

The component form of the resultant vector is  X1 = -5 and Y1 = -3

The course of vector rotation is counterclockwise if θ is positive (e.g., 90°) and clockwise if θ is bad (e.g., 90°). Consequently, the clockwise rotation matrix is located as

Let's say we have got a factor (x1, y1). The point also defines the vector (x1, y1).

The vector (x1, y1) has a length of L.

We rotate this vector anticlockwise around the starting place by using β Degree.

The turned-around vector has coordinates (x2, y2)

The turned-around vector also has to have period L.

Theorem

x2=cosβx1−sinβy1

y2=sinβx1+cosβy1

By using the above information, we can say that X1 = -3 and Y1 = 5

So now we have the rotate the vector by 270 Degree

After Rotation New coordinates are X1 = -5 and Y1 = -3

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Answer:

x = - 4

Step-by-step explanation:

given a quadratic function in standard form

y = ax² + bx + c ( a ≠ 0 ) then the axis of symmetry is

x = - [tex]\frac{b}{2a}[/tex]

h(x) = 5x² + 40x + 64 ← is in standard form

with a = 5 , b = 40 , then axis of symmetry is

x = - [tex]\frac{40}{10}[/tex] = - 4

The complete terms and growth factors are as follows

Given data

a. __,5, 25, __625

-1,__,-36, 216,__

c. 10, 5, __, __0.625

d.__ ,__,36,-108,__

e.__,12,18,27,__

The terms of a geometric sequence is gotten by

a * r = T2

a is the first term

r is the growth factor

T2 is the second term

a. __,5, 25, __625

5 * r = 52

r = 5

growth factor is 5

the complete terms include

1, 5, 25, 125, 625

b. -1,__,-36, 216,__

-36 * r = 216

r = 216 / -36 = -6

r = -6

growth factor is -6

the complete terms include

-1, 6, -36, 216, -1296

c. 10, 5, __, __0.625

10 * r = 5

r = 5 / 10 = 0.5

r = 0.5

growth factor is 0.5

the complete terms include

10, 5, 2.5, 1.25, 0.625

d.__ ,__,36,-108,__

36 * r = -108

r = -108 / 36 = -3

r = -3

growth factor is -3

the complete terms include

6, -18, 36,-108, 324

e.__,12,18,27,__

12 * r = 18

r = 18 / 12 = 1.5

r = 1.5

growth factor is 1.5

the complete terms include

8, 12, 18, 27, 40.5

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The scale factor from shape B to shape A is 4.

Step 1: To determine the scale factor, we need to know the dimensions of the shape before scaling and its dimensions after scaling. From the given diagram, figure A has a base length of 36 units and another base of length  28 units. Figure B has a base length of 9 units and another base length is 7 units.

Step 2: To find the scale factor, we divide a particular dimension from figure B with the same dimension in figure A.

The base length of figure B /the base length of figure A = 36 / 9 = 4

Similarly, the length of another base of figure B / another base of figure A = 28 / 7 = 4

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Answer:

(-2, 3)

Step-by-step explanation:

When rotating the preimage 90° counterclockwise about the origin (x, y) becomes (-y, x).

x=3 and y=2

So (3, 2) becomes (-2, 3)

The image of the point (-2,3) after a rotation of 90° counterclockwise about the origin will be (3, 2).

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The point (-2, 3) is in the second quadrant. After a rotation of 90° counterclockwise about the origin, the point will be in the first quadrant.

After the rotation, the coordinate of the points will get swapped and in the first quadrant, the value of the coordinate will be positive.

The image of the point (-2,3) after a rotation of 90° counterclockwise about the origin will be (3, 2).

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- - - - - - - - - - - - - - - - - - - - - - - -

Hello! Explanation below!

- - - - - - - - - - - - - - - - - - - - - - - -

Ideally, we should break apart the number for this problem. So, here goes nothing. :)

500 / 8 = 62.5

20 / 8 = 2.5

8 / 8 = 1

Now, add your products.

62.5 + 2.5 + 1 = 66

- - - - - - - - - - - - - - - - - - - - - - - -

Good luck!

~pinetreee

Answer:

if your asking how to get 29 then here is how

Step-by-step explanation:

Evaluate

3x+16=5x−42

Move the variable to the left side

3x+16−5x=−42

Subtract the terms

−2x+16=−42

Move the constant to the right side

−2x=−42−16

Subtract the terms

−2x=−58

Divide both sides

2x divided by -2

-58 divided by 2

Solution

x=29

The coordinates of the sequence of transformations is R' (3, -4), S' (3, -1) and T' (1, -4)

The complete question is added as an attachment

The coordinates of the triangle are given as

R = (-4, 1)

S = (-4, 4)

T = (-2, 1)

The sequence of transformations is given as

The rules of the above sequence of transformations are

When the above transformations are combined, we have

(x, y) = (-x - 1, y - 5)

So, we have

R' = (4 - 1, 1 - 5) = (3, -4)

S' = (4 - 1, 4 - 5) = (3, -1)

T = (2 - 1, 1 - 5) = (1, -4)

Hence, the image of the sequence of transformations is R' (3, -4), S' (3, -1) and T' (1, -4)

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