Kyra has a manufacturer's coupon for $5 off a box of diapers and a store coupon for 20% off any purchase. The store will let you use both coupons, but it does not have a policy about which coupon you must use first. What order should she use the coupons to get the maximum discount on a $40 box of diapers?

Answer:

Option (b) -1.2, -3.2,-5.2,-7.2,…..  is AP

The common difference = -2

3 more terms are ⇒ -9.2 , -11.2 , -13.2

Option (c) 2, 5/2 ,3, 7/2…..  is AP

the common difference = 1/2

3 more terms are ⇒ 4 , 9/2 , 5

Step-by-step explanation:

AP ⇒ arithmetic progression is a sequence of numbers provide that the difference of any two successive members is a constant.

So, we will check the options:

• (a) 2,4,8,16……

The difference between 2 , 4 = 4 - 2 = 2

The difference between 4 , 8 = 8 - 4 = 4

So, option a is not AP

• (b) -1.2, -3.2,-5.2,-7.2,…..

The difference between -1.2 , -3.2 = -3.2 - (-1.2) = -3.2 + 1.2 = -2

The difference between -3.2 , -5.2 = -5.2 - (-3.2) = -5.2 + 3.2 = -2

So, option b is AP

The common difference = -2

3 more terms are ⇒ -9.2 , -11.2 , -13.2

• (c) 2, 5/2 ,3, 7/2…..

The difference between 2 , 5/2 = 5/2 - 2 = 1/2

The difference between 5/2 , 3 = 3 - 5/2 = 1/2

So, option c is AP

The common difference = 1/2

3 more terms are ⇒ 4 , 9/2 , 5

• (d) -10,-6,-2.2, ……

The difference between -10 , -6 = -6 - (-10) = -6+10 = 4

The difference between -6 , -2.2 = -2.2 - (-6) = -2.2 + 6 = 3.8

So, option d is not AP

So, the options that form an AP are b and c

Answer:

B.90

Step-by-step explanation:

As there are 10 people and choosing chairperson occurs first as an independent event

=> The number of possible chairperson is 10.

After the chairperson is chosen, the number of names left in the hat is 9

=> There are 9 possible vice-chair.

However, the names left in the hat depends on which name is elected as chairperson

=> Choosing vice-chair is a an event dependent on the first event.

=> The number of possible combinations of chair and vice chair would be:

9x10 = 90

760 sq feet

Step-by-step explanation:

Step 1 :

The sides of the given parallelogram are 60 feet and 40 feet and the height is 38 feet

The length of the rectangular walkway = 38 ft

Width of the walkway = 20 ft

The roses are planted in the park (parallelogram) except in the walkways 's area ( rectangle)

Hence the total area where the roses are planted is the park 's area (parallelogram) - the walkway's area ( rectangle.)

Step 2 :

Area of the park (parallelogram ) = b * h = 40 * 38 = 1520 sq ft

Area of the walkway (rectangle) = l * b = 38 * 20 = 760 sq ft

Area of the park where roses will be planted = 1520 - 760 = 760 sq ft.

Answer:

V = 393.25π ≈ 1234.81 ft³

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

r = 5.5 ft

h = 13 ft

V = π (5.5)² (13)

V = π (30.25)(13)

V = 393.25π ≈ 1234.81 ft³

Answer:

1235.43 ft³

Step-by-step explanation:

Volume of the cylindrical water tank=πr²h

Where r=5.5,h=13

Volume=(3.14)(5.5)²(13)

=(3.14)(30.25)(13)

=1235.43 ft³

Answer:

3. 14, 20, 24, 18, 16, 12, 15, 13, 17, 12, 19

Step-by-step explanation:

14, 20, 24, 18, 16, 12, 15, 13, 17, 12, 19

Rearrange data:

12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 24

Min: 12

Max: 24

Median position: (11+1)/2 = 6th value

Median: 16

Q1: 3rd value form the lower end

Q1 = 13

Q3: 3rd value form the upper end

Q3 = 19

The volume of the cone is:

V=Sb×h/3=(pi×r²)×h/3, where Sb is the area of the base (circle of radius r) and h is the height.

V=pi×r²×h/3=pi×1.5²×5/3=11.775in³

The closest indicated value is the first one, 11.78in³

Answer:

12 pints is bigger

Explanation: A pint is two cups, so 12 pints would be 24 cups.

The correct answer is that 12 pints is bigger than 6 cups.

To understand why, let's look at the conversion factors between pints and cups. In the United States Customary System, 1 pint is equivalent to 2 cups.

Now, let's calculate the volume of 12 pints in cups:

[tex]\[ 12 \text{ pints} \times \frac{2 \text{ cups}}{1 \text{ pint}} = 24 \text{ cups} \][/tex]

Comparing 24 cups (which is the equivalent of 12 pints) to 6 cups, it is clear that 24 cups is larger than 6 cups. Therefore, 12 pints is bigger than 6 cups.

Answer:

x = 24

Step-by-step explanation:

(6x + 5) = 149

6x + 5 = 149

6x = 149 - 5

6x = 144

x = 144 / 6

x = 24

Answer:

x=24

Step-by-step explanation:

This is a linear equation.

(6x+5)=149

Collect like terms by placing the +5 after the equality sign, which will make it become -5

6x=149-5

6x=144

Divide both sides by 6

6x/6=144/6

x=144/6

x=24

We can go further to check, if we are correct by substituting x with 24 in the equation. And then both sides of the equation must be the same

(6x+5)=149

6(24)+5=149

144+5=149

149=149

Answer:

B

Step-by-step explanation:

She only has two cakes because that's all she bought.

Final answer:

The provided text does not contain information about Miss Maudie or the distribution of cakes, leading to the inability to answer why only two small cakes were provided instead of three.

Explanation:

The question refers to a situation within a piece of literature where Miss Maudie provides only two small cakes to the children instead of three. According to the provided context, there is no explicit mention of Miss Maudie or the exact circumstance of the cake distribution in the passages. Moreover, the excerpts provided do not contain information about a character named Miss Maudie.

They discuss Miss Sydney and her interactions with street beggars and a candy vendor, as well as the narrator's mother's childhood experiences with poverty. Since the textual evidence does not support any conclusions about Miss Maudie and her cakes, I cannot confidently provide an answer to the question about why Miss Maudie only has two small cakes instead of three for the children.

Answer:

They are all odd numbers.

Step-by-step explanation:

Ok so we know that numbers that end with 1,3,5,7 and 9 are odd numbers and all the numbers listed in the question all end with these numbers.

Answer:

Although I cannot draw a picture, a fraction to represent the whole is 4/4, 1/1, or 1.

Step-by-step explanation:

In order to solve this problem, we'll use the concept of Mid-segment of a Trapezoid which is defined as the segment that connects he midpoints of the two non-parallel sides of the trapezoid. So, it is true that:

[tex]EF=\frac{AD+BC}{2} \\ \\ 5x=\frac{x+2+43}{2} \\ \\ Isolating \ x: \\ \\ 10x=x+45 \\ \\ 9x=45 \\ \\ x=5 \\ \\ \\ So: \\ \\ EF=5x \\ \\ EF=5(5) \\ \\ \boxed{EF=25}[/tex]

The area of the figure is 112 square inches.

Step-by-step explanation:

Step 1:

To calculate the value of the composite shape we first divide it into shapes that we know.

In this case, the composite shape consists of a triangle and a square attached below it.

If we can calculate the individual areas of the two shapes we should be able to calculate the area of the composite shape.

Step 2:

The triangle has a base length [tex]=10-6=4[/tex] inches and the height is [tex]16-10=6[/tex] inches.

The area of the triangle [tex]= \frac{1}{2} (b)(h) = \frac{1}{2} (4)(6) = 12.[/tex]

The area of the triangle is 12 square inches.

Step 3:

The area of a square is the square of its side length. The given square has a side length of 10 inches.

The area of the square [tex]= a^{2} = 10^{2} = 100.[/tex]

The area of the square is 100 square inches.

Step 4:

Now we calculate the area of the entire figure by adding the areas of the triangle and the square.

Area of the figure [tex]= 100 + 12 = 112.[/tex]

So the area of the figure is 112 square inches.

Answer:

g ÷ 5

Step-by-step explanation:

Variable: g

Operation: Division (represented as ÷)

Constant: 5

Put together the equation:

g ÷ 5

Hope this helps :)

Answer:

x = -13 and y = -4

Step-by-step explanation:

-4x + 8y = 20 ................... eqn 1

2x + 2y = -30 ................... eqn 2

Step 1: Multiply eqn 1 by 2 and eqn 2 by 4

(-4x + 8y = 20) × 2

(2x + 2y = -30) × 4

we will have

-8x + 16y = 40 ....................eqn 3

8x + 4y = - 120 .................. eqn 4

Step 2: Add eqn 3 and 4 together

20y = - 80

Step 3: divide all through by 20

y = -80/20

y = -4

Step 4: Substitute -4 for y in eqn 1

-4x + 8(-4) = 20

-4x - 32 = 20

-4x = 20 + 32

-4x = 52

Step 5: Divide both sides by -4

x = 52/-4

x = -13

Answer:

 {x,y} = {-35/3,-10/3}

Step-by-step explanation:

 -4x+8y=20;2x+2-30  

System of Linear Equations entered :

  [1] -4x + 8y = 20

  [2] 2x + 2y = -30

Solve by Substitution :

// Solve equation [2] for the variable  y 

[2] 2y = -2x - 30

[2] y = -x - 15

// Plug this in for variable  y  in equation [1]

  [1] -4x + 8•(-x -15) = 20

  [1] -12x = 140

// Solve equation [1] for the variable  x 

  [1] 12x = - 140 

  [1] x = - 35/3 

// By now we know this much :

  x = -35/3

  y = -x-15

// Use the  x  value to solve for  y 

  y = -(-35/3)-15 = -10/3 

Solution :

 {x,y} = {-35/3,-10/3} 

Answer:

x, y = 7, 1

Step-by-step explanation:

x+6y=13 ............ (i)

2x+y=15 ........... (ii)

We will apply substitute method.

From equation (i), we can get,

x+6y=13

or, x = 13 - 6y .......... (iii)

Putting the value of x in equation (ii), we can get,

2x+y=15

or, 2 × (13 - 6y) + y = 15

or, 26 - 12 y + y = 15 [multiplying]

or, -11 y = 15 - 26 [Subtracting 26 from both the sides]

or, -11 y = -11

or, [(-11 y) ÷ (-11)] = [(-11) ÷ (-11)] [Dividing both the sides by -11]

or, y = 1

Therefore, the value of y = 1

Putting y = 1 in equation (iii), we get,

x = 13 - 6y

or, x = 13 - 6 × 1

or, x = 13 - 6

or, x = 7

Therefore, the value of x = 7.

Answer: x, y = 7, 1

Answer:

54[tex]\pi[/tex] inch^3

Step-by-step explanation:

you have to multiply 6*9 because the actual volume isnt on there. you would have to multiply 54 by 3.14 to get the actual volume, that is just the equation simplified. V=[tex]\pi[/tex]*r^2 *h

Answer:

Quant. ---- Porcentagem

200 ------------- 100

X ------------------ 40

100X = 8.000

Step-by-step explanation:

it is y=2 because both points have a y value of 2

Step-by-step explanation:

Given points are: [tex] (5, - 2) =(x_1,\:y_1) \:\&\: (-3, 4)=(x_2,\:y_2)[/tex]

Equation of line in two point form is given as:

[tex] \frac{y -y_1 }{y_1 - y_2} = \frac{x -x_1 }{x_1 - x_2} \\ \\ \therefore \: \frac{y -( -2 ) }{ - 2 - 4} = \frac{x -5 }{5 - ( - 3)} \\ \\\therefore \: \frac{y + 2 }{ - 6} = \frac{x -5 }{5 + 3} \\ \\\therefore \: \frac{y + 2 }{ - 6} = \frac{x -5 }{8} \\ \\\therefore \: \frac{y + 2 }{ - 3} = \frac{x -5 }{4} \\ \\\therefore \: 4(y + 2 ) = - 3(x - 5) \\ \\ \therefore \: 4y + 8 = - 3x + 15 \\ \\ \therefore \: 3x + 4y + 8 - 15 = 0 \\ \\ \huge \: \orange{ \boxed{\therefore \: 3x + 4y - 7 = 0}} \\ \: \: is \: the \: required \: equation \: of \: line[/tex]

Answer:

See below.

Step-by-step explanation:

1. Given.

2. Given

3. Definition of  angle bisector.

4. BD ⊥ AC

5. They are both right angles.

6. This is common on to both triangle  ABD and CBD.

7. Congruent by 2 angles and the corresponding side ( ASA?)

8. CPCTC

9. Definition of an isosceles triangle.

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero.

Answer:

The answer would be 18484.2883549

Step-by-step explanation:

Firstly, you'll simplify 10².

10²÷0.00541 ---> 100 ÷ 0.00541

Then, you'll divide 100 by 0.00541.

100 ÷ 0.00541 ---> 18484.2883549

Answer:

18484.28835

Hope this helps

-Amelia The Unknown

Answer:

24/30

Step-by-step explanation:8/3 times 3/10. Multiply across. Always flip the 2nd fraction when dividing fractions then multiply

Answer:

4/5

Step-by-step explanation:

8/3 divided by 10/3

Remember, Keep Change Flip.

8/3 x 3/10

= 24/30

= 4/5

EF is 1.98, AB is 16.23 and HI is 12.22

Step-by-step explanation:

Step 1:

In figure 1, given sin 26° = 0.44 and hypotenuse = 4.5. Use trigonometric ratio sin D to find EF.

sin 26° = EF/DF

⇒ 0.44 = EF/4.5

∴ EF = 0.44 × 4.5 = 1.98

Step 2:

In figure 2, given cos 52° = 0.616 and adjacent side (AC) = 10. Use trigonometric ratio cos A to find hypotenuse (AB).

cos 52° = AC/AB

⇒ 0.616 = 10/AB

∴ AB = 10/0.616 = 16.23

Step 3:

In figure 3, given tan 42° = 0.90 and opposite side (GH) = 11. Use trigonometric ratio tan I to find adjacent side (HI).

tan 42° = GH/HI

⇒ 0.90 = 11/HI

∴ HI = 11/0.90 = 12.22

Answer:

1) 1.98 units

2) 16.23 units

3) 12.22 units

Step-by-step explanation:

Q1) sin(26) = EF/ FD

0.44 = EF/4.5

EF = 4.5×0.44 = 1.98

Q2) cos(52) = AC/AB

0.616 = 10/AB

AB = 10/0.616

AB = 16.23

Q3) tan(42) = GH/HI

0.9 = 11/HI

HI = 11/0.9

HI = 12.22

Answer: b is -48

Step-by-step explanation:

-21 = b/3 - 5/1

Cross multiply

b-15= -21 ×3

b-15= -63

b= -63 + 15

b= -48

To cross -check,

-21 = -48/3 -5

-21= -16 -5

Mark as brainliest please.

Answer:

This relation represent y as a function of x, because each value of x is associated with a single value of y

Step-by-step explanation:

we know that

A function is a relation from a set of inputs (x values) to a set of possible outputs (y values) where each input is related to exactly one output

we have the relation

[tex](3, 4), (4, 3), (6, 3), (7, 8), (5, 4)[/tex]

This relation represent y as a function of x, because each value of x is associated with a single value of y

Answer:

I Think it is

741.36

Step-by-step explanation:

just add em up stat focused

Answer: 79.27

Step-by-step explanation:

Answer:

Area of the Rectangle = 4 * 10 = 40 square inches

Area of the semi-circle = (PI * radius^2) /2

Area of the semi-circle = (PI * 5^2) / 2

Area of the semi-circle = (PI * 25) / 2

Area of the semi-circle = 39.2699081699

Total Area = 40 + 39.2699081699 =

79.2699081699 =

79.27 square inches

Step-by-step explanation: