Part b
calculate the perimeter of each quadrilateral and the ratio of the perimeters. round your answers to the hundredths place.

a. The rate of change = -25/month

b. Kamal's account balance reduces by 25$ per month.

c. To find the $725.

d. Kamal's opening balance or initial deposit.

e. The linear equation is: A = -25n + 725.

The rate of change (m) = change in y/change in x.

a. The rate of change (m) = change in A / change in n = (700 - 650)/(1 - 3) = -25/month.

b. -25 dollar per month means every month, Kamal's account balance reduces by 25$

c. To find the initial value (b), substitute m = -25 and (7, 550) = (n, A) into A = nm + b:

550 = 7(-25) + b

550 = -175 + b

550 + 175 = b

b = 725.

Initial value is: 725.

d. The initial value, $725, is Kamal's opening balance or initial deposit.

e. To write the linear equation, Substitute m = -25 and b = 725 into A = nm + b:

A = -25n + 725

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Answer:

Let j = number of shirts Jeff bought and s = the number of shirts Stephen bought.

a.) s + j = 15

b.) 2j - 3 = s

c.) Plug 2j -3 into the equation from question a.

2j -3 + j = 15

3j -3 = 15

3j = 18

j = 6

2j - 3 = s when j = 6

2(6) - 3 = s

s = 9

Jeff bought 6 shirts; Stephen bought 9 shirts.

d.) Jeff cost = 8.99(6) = $53.94

Stephen cost = 8.99(9) = $80.91

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\text{3x = 120}^\circ[/tex]

[tex]\huge\textbf{Simplifying:}[/tex]

[tex]\text{3x = 120}^\circ[/tex]

[tex]\huge\textbf{Divide \boxed{\bf 3} to both sides:}[/tex]

[tex]\rm{\dfrac{3x}{3} = \dfrac{120}{3}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\rm{x = \dfrac{120}{3}}[/tex]

[tex]\rm{x = 40}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x =}\frak{40}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: [tex]y-8=-2(x+3)[/tex]

Step-by-step explanation:

See attached image, it's direct formula substitution.

Answer:

9.2195445 (9.22 rounded)

Step-by-step explanation:

#1: Use the distance formula to determine the distance between the two points:

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

#2: Substitute the actual values of the points into the distance formula:

[tex]\sqrt{((-4)-3)^{2}+(5-(-1))^{2}}[/tex]

#3: Simplify:

- Subtract 3 from -4: [tex]\sqrt{(-7)^{2}+(5-(-1))^{2}}[/tex]

- Raise -7 to the power of 2: [tex]\sqrt{49+(5-(-1))^{2}}[/tex]

- Multiply -1 by -1: [tex]\sqrt{49+(5+1)^{2}}[/tex]

- Add 5 and 1: [tex]\sqrt{49+6^{2}}[/tex]

- Raise 6 to the power of 2: [tex]\sqrt{49+36}[/tex]

- Add 49 and 36: [tex]\sqrt{85}[/tex] (Decimal form: 9.2195445 (9.22 rounded))

The distance between the two points (3,1) and (4,-5) is 9.22.

Answer:

y=-2x+5

Step-by-step explanation:

The slope is

[tex] \frac{ - 15 - ( - 7)}{5 - 1} = \frac{ - 8}{4} = - 2[/tex]

Substituting into point-slope form,

y + 7 = -2(x-1)

y + 7 = -2x + 2

y = -2x + 5

Answer:

42

Step-by-step explanation:

-14 1/9 is about -14.

-2 9/10 is about -3.

Multiplying these, we get (-14)(-3)=42.

Answer:

corresponding, supplementary, alternate interior, same side interior, vertical, alternate exterior, corresponding, alternate exterior, vertical, and alternate interior

In the figure 10, the pair of angles are alternate interior angles.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

From the given figure,

1) corresponding angles

2) Adjacent angles (Supplementary)

3) Alternate interior angles

4) Allied angles (Same side interior)

5) Vertically opposite angles

6) Alternate exterior angles

7) corresponding angles

8) Alternate exterior angles

9) Vertically opposite angles

10) Alternate interior angles

Therefore, in the figure 10, the pair of angles are alternate interior angles.

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The construction that is performed based on the information given will be D. construct a right angle.

It should be noted that construction simply means the accurate drawing of shapes, angles, and the line in geometry.

In this case, the construction that is performed based on the information given will be to construct a right angle.

It should be noted that a right angle has an angle of 90°.

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The statement that <A > <C and <B > <D has been proved

In geometry, the side length opposite the largest angle is the longest side.

Similarly, the side length opposite the smallest angle is the shortest side.

From the given figure of quadrilateral, we have the following sides in increasing order:

The angles opposite the side lengths are:

This means that:

<A > <C and <B > <D

Hence, the statement that <A > <C and <B > <D has been proved

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Surface area of the rectangular solid = 416 in.².

Volume = 480 in.³.

Surface area = 2(wl+hl+hw)

Volume = (length)(width)(height).

Given the following:

Length (l) = 12 in.

Width (w) = 10 in.

Height (h) = 4 in.

Surface area = 2(wl+hl+hw) = =2·(10·12+4·12+4·10) = 416 in.².

Volume = (12)(10)(4) = 480 in.³.

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Answer:

ther will be 240 words in 4 1/4

Answer:

187 words.

Step-by-step explanation:

His rate of typing = 110 / 2 2/4

= 110 / 2.5

= 44 words / minute.

So in 4 1/4 minutes he will type

44 * 4 1/4

= 176 + 11

= 187 words.

Answer:

x=1/3

Step-by-step explanation:

(2/x)+4=3^3+1

(2/x)+4=10

(2/x)=6

2=6x

1/3=x

x=1/3

There is also a possibility that you meant to write 2/(x+4)=3^2+1

2/(x+4)=3^2+1

2/(x+4)=10

2=10x+40

-38=10x

x=-3.8

Answer: -35/16

Step-by-step explanation:

i just took the test:)

Answer:

statement 1(one)

Step-by-step explanation:

The child tickets were sold that day is 82.

Given the cost of child admission $6.30 and the cost of adult admission $9.80 and on Wednesday 144 tickets were sold for a total sales of $1124.20.

Let the child tickets are x and adult tickets are y.

On Monday, 144 tickets were sold for a total sales.

x+y=144              ........(1)

Total sales = $1124.20

Need to find the child tickets sold on Wednesday.

Total sales = 6.30x+9.80y

Total sales = $1124.20

So,6.30x+9.80y=1124.20                        .......(2)

Find the value of y from equation (1), we get

x+y-x=144-x

y=144-x

Now, we will substitute the value of y in equation (2) to find the value of x, we get

6.30x+9.80(144-x)=1124.20

Apply the distributive property that is a(b+c)=ab+ac, we get

6.30x+9.80×144-9.80x=1124.20

6.30x+1411.2-9.80x=1124.20

Combine the variable terms on left side, we get

1411.2-3.5x=1124.20

subtract 1411.2 from both sides, we get

1411.2-3.5x-1411.2=1124.20-1411.2

-3.5x=-287

Divide both sides with -3.5x, we get

-3.5x/(-3.5)=-287/(-3.5)

x=82

Therefore, 82 child tickets were sold on Wednesday when cost of child admission $6.30 and the cost of adult admission $9.80.

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Answer:

7 - 10

Step-by-step explanation:

Because it is -3 and 7 - 10 = -3

Y= 75.

Lets try to solve it,

When positive integer x is divided by positive integer y, the remainder is 9

=> x=qy+9;

=> x/y=96.12

=>x=96y+0.12y (so q above equals to 96);

=>0.12y=9

=> y=75.

Hence the value of y would be 75.

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Answer:

48π

Step-by-step explanation:

To find the area of the shaded region, find the area of the large circle and the small circle then subtract.

Large circle:

8²π=64π

Small circle:

4²π=16π

Now subtract 16 from 64.

64-16=48

The area of the shaded region is 48π.

Hope this helps!

Answer:

Bonding theories predict

Step-by-step explanation:

how atoms bond together to form compounds. They predict what combinations of atoms form compounds and what combinations do not. Bonding theories explain the shapes of molecules, which in turn determine many of their physical and chemical properties

Answer:Find the mean for the given set of data.

-4, -3,-1,-1, 0, 1

-1 1/3

-1

-3/4

Answer is -1 1/3

Step-by-step explanation:

The function that can be used to find the number of rides Jay went on is, f(x) = 4.5x + 10 = 46.5. Hence, the first option is the right choice.

Also, on solving the function we get that, Jay went on 8 rides.

We assume the number of rides Jay spent to be x.

The cost of each ride is given to be $4.50.

Thus, the total amount Jay spent on rides = $4.50x.

The entrance fee to the park is given to be $10.50.

Thus, the total expenditure of Jay can be shown as $(4.5x + 10.5).

But, in the question we are given that Jay spend $46.50 altogether.

Thus, the function to find the number of rides Jay went on can be shown as:

f(x) = 4.5x + 10 = 46.5.

Hence, the first option is the right choice.

To find the number of rides he went, we can solve this function as:

4.5x + 10 = 46.5,

or, 4.5x = 46.5 - 10.5 = 36,

or, x = 36/4.5 = 8.

Thus, Jay went on 8 rides.

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Answer:

V = 15 in.³

Step-by-step explanation:

The original cylinder has radius r and height h.

V = πr²h

Its volume is 30 in.³, so

πr²h = 30 in.³

The new cylinder has radius (1/2)r and height 2h.

Its volume is

V = π(r/2)²(2h)

V = πr² × 2h/4

V = πr²h/2

πr²h is the volume of the original cylinder, and it is 30 in.³.

V = 30 in.³/2

V = 15 in.³

If they sell all the pancakes, they will win $7

We know that they can make a batch of 14 pancakes, such that each one can be sold for $0.50

Then the total amount that they get if they sell all the pancakes is given by the product:

P = 14*$0.50 = $7

If they sell all the pancakes, they will win $7

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Answer:

480

Step-by-step explanation:

First, lets solve for the area of the 3 rectangles in the prism

One can be found by doing 17*9. The other, 8*9, the last 15*9

Next, lets solve for the 2 triangles. This is found with...

1/2(8)(15). This turns out to be 60, and we multiply that by 2 since there are 2 of those triangles.

Add everything up:

72+153+135+120 = 480

Answer:

396 gold bars

Step-by-step explanation:

first of all we will find numbers of gold bar 7*99

which is 693 and

we will find number of silver bars 11*99

which is 1089

then 1089-693=

396

Answer: The answer is factor 3 out the variable terms

Step-by-step explanation:

Considering the definition of the absolute value function, the expression is written as -7m + 56.

The absolute value function is defined as follows:

That is, where the expression is negative, it is multiplied by -1, while where it is not negative the expression is kept.

In this problem, the expression is:

|7m - 56|

For m < 8, we have that one example is m = 0:

7(0) - 56 = -56.

The expression is negative, hence the signal is changed, that is:

|7m - 56| = -(7m - 56) = -7m + 56.

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Using translation concepts, the change of f(x) = x to g(x) = x - 90 can be described as follows:

The base graph has been shifted down 90 units.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, we have that g(x) = f(x) - 90, that is, the base graph was shifted down 90 units.

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Answer:

660000

Step-by-step explanation:

Jessica purchased a DVD that was on sale for 12% off.

The sales tax in her county is 3%.

Let, y represent the original price of the DVD.

We can simply solve this mathematical problem by using the following mathematical process.

Here, we will form an algebraic expression, according to the given data.

So,

The original price of the DVD = y

Discount on the original price :

y * 12/100

=3y/25

Price after discount :

y - 3y/25

=25y - 3y/25

=22y/25

Sales tax amount :

22y/25 * 3/100

11y/25 * 3/50

=33y/1250

Final price including the sales tax :

22y/25 + 33y/1250

1100y + 33y/1250

1133y/1250

(This will be considered as the final result.)

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