Need this quick! : Transformations, Congruence, and Similarity

Answer:

$17.5

Step-by-step explanation:

divide 150 by 12 to get 12.5. 12.5 is what they paid per-person with the discount. add 5 to get 17.5 and that is the on-discounted price

The normal cost for an individual is $17.50.

Let's denote the normal cost for an individual as "N."

According to the given information, with the group package, the cost per person is $5 less than the normal cost for an individual. So, the cost for each scout in Tisha's troop is "N - $5."

There are 12 scouts in Tisha's troop, so the total cost for the group is given as $150.

We can set up an equation based on the total cost:

Total Cost = Cost per Person × Number of People

$150 = (N - $5) × 12

Now, let's solve for the normal cost for an individual (N):

$150 = 12N - $60

12N = $150 + $60

12N = $210

N = $210 / 12

N = $17.50

So, the normal cost for an individual is $17.50.

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Answer:

Step-by-step explanation:

First, we need to calculate how many years will earn percent.

2010---->2025= 15 years elapsed. Now we have our time, we need to plug it in our compound interest formula=

Principal(rate+1)^time or A=P(1+R)^t

10,000(0.085+1)^15

=$33,997.43

To calculate how much Cam earned, you need to subtract from original amount.

=$33,997.43-10,000=

---->$23997.43

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Answer: 5.4 and 5⅖

Step-by-step explanation:

27/5 to a mixed number 5⅖

Decimal 5.4

Answer:

C

Step-by-step explanation:

Because thats the answer

Answer:

See below

Step-by-step explanation:

c will be tha same as the labelled angle = 99 degrees

  then c + b = a straight line = 180

             99 + b   = 180

                    b = 81 degrees

From rectangle P and Q, the ratio of x to y is 25/18

An equation is an expression used to show the relationship between two or more numbers and variables.

Area of P = 40 * x = 40x cm²

Area of Q = y * (1.25 * 40) = 50y cm²

Given that area of Q = 90% if P = 0.9(40x) = 36x cm²

50y cm² = 36x cm²

x/y = 50/36 = 25/18

From rectangle P and Q, the ratio of x to y is 25/18

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Answer:

10.34 cm.

Step-by-step explanation:

First we need to calculate the angle between the hour and minute hand

We see that there are 5 *  5-minute intervals between the 2 hands and the clock has 12 * 5-minute intervals, so:

This is 5/12 * 360 = 150 degrees,

So we apply the Cosine Rule to the triangle:

x^2 = 4.5^2 + 6.2^2 - 2*4.5*6.2cos150

= 107.014

x = √107.14 = 10.34.

Missing length is 10.3cm to 1.d.p

The clock is a circle divided into 12

360/12=30 degrees for each part

1) 7 to 8

2) 8 to 9

3) 9 to 10

4) 10 to 11

5) 11 to 12

5 parts

30 x 5 = 150 degrees

We've got an angle between 2 lengths - cosine rule comes to mind for me.

a = root 6.2^2 + 4.5^2 - 2x6.2 4.5 x cos 150

= 10.34476764

length is 10.3cm to 1.d.p

(the others are to 1.d.p too)

Hope this helps!

Answer:

64%

Step-by-step explanation:

25 - 9 = 16, so 16 of the games were won by Sally's team.

16/25 = 64% of the games were won

Answer:

2,714in^3

Step-by-step explanation:

V = pi*r^2*h
V = 3.14*6^2*24
V = 3.14*36*24
V = 2,714

The volume of the cylindrical fish tank is 2,714 inches cubed.

Answer:

Option A, [tex]2714\ in^3[/tex]

Step-by-step explanation:

Step 1:  Determine the volume of the cylinder

[tex]V=\pi r^2h[/tex]

[tex]V=\pi *(12\ in/2)^2*24\ in[/tex]

[tex]V=\pi *(6\ in)^2*24\ in[/tex]

[tex]V=\pi * 36\ in^2 *24\ in[/tex]

[tex]V = \pi *864\ in^3[/tex]

[tex]V=2,714\ in^3[/tex]

Answer:  Option A, [tex]2714\ in^3[/tex]

Answer:

There are 126 8th grade A honor roll students.

Step-by-step explanation:

Answer:

37.9 liters

Step-by-step explanation:

Multiply the number of gallons by 3.785 to convert to liters

Multiplying by ten moves the decimal point over to the right

3.785 * 10 = 37.85

The tenths place is where the 8 is, and since 5 is [tex]\geq[/tex] (greater than or equal to) 5 that makes the 8 round up to a 9

resulting in...

10 gallons = 37.9 liters

hope this helps:)

Answer:

1. one is smaller by 5 cm and one is larger by 5 cm

2. well they are similar to each other, but one is dilated and isn't

Answer:

The x intercept is [tex](-\frac{22}{3} ,~0)[/tex]

The y intercept is [tex](0,~22)[/tex]

Answer:

c

Step-by-step explanation:

because 3 x 3 = 9

               1 x 5 = 5

simplest form will be 1 4/5

Answer:

2

Step-by-step explanation:

£1 = 100p

3*21p+2*37p+3*86p+x*160p (x is the number of notebooks)

63p+74p+258p+x*160p = 395p+x*160p

He paid £8 so he paid 800p

800p-395p = 405p

405p-85p = 320p

320p:160p = 2

He bought 2 notebooks

Answer:

C) 3/2x-3=y

Step-by-step explanation:

-3 because that is the Y- intercept and 3/2 is the slope of the line. Y= mx +b is the formula and m is the slope and b is the y intercept.

Answer:

(y + 1) = 3( x +2)

Step-by-step explanation:

from equation,

y - y1 = m( x - x1)

given x1=2, y1= -1

m = 3 (slope)

substitute

y - (-1) = 3( x - 2)

ans: y+1= 3(x+2)

Answer:

the answer is D) 300 π

Step-by-step explanation:

Formula for Area of sector is:

θ/360° * π * (r)^2

here,

θ= 30° and radius= 60 in

so, after we substitute, we get:

30/360* π* 60*60       after simplifying we get:

= 1/12* π* 5*60

=300π

Hope it helps.

Answer:

D

Step-by-step explanation:

area of sector=

[tex] \frac{theta}{360} \times \pi \: r {}^{2} \\ \\ \frac{30}{360} \times \pi \: (60) {}^{2} \\ \\ 300\pi[/tex]

360

Using proportions, it is found that:

A proportion is a fraction of a total amount.

For the perimeter, as it is given in units, the scale factor is the same, hence it is of [tex]\frac{2}{3}[/tex].

For the area, as it is given in units squared, the scale factor is squared, hence:

[tex]\left(\frac{2}{3}\right)^2 = \frac{4}{9}[/tex]

For the volume, as it is given in cubic units, the scale factor is eleveted to the third power, hence:

[tex]\left(\frac{2}{3}\right)^3 = \frac{8}{27}[/tex]

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Check the picture below.

Answer:

5

Step-by-step explanation:

pythagorean triple is 5-12-14 or use pythagorean theorem

b=[tex]\sqrt{ 13^{2} -12^{2} }=\\\sqrt{169-144} =\\\sqrt{25} =5[/tex]

Answer: 5

Step-by-step explanation: The square root of 13²- 12²

Answer:

9560

Step-by-step explanation:

Use a calculator or do long division.

You can also divide by 2 twice.

38240/2 = 19120

19120/2 = 9560

Answer: 9560

Answer:

9560

Step-by-step explanation:

30000÷4=7500

8000÷4=2000

200÷4=50

40÷4=10

0÷4=0

7,500+2,000+50+10+0=9,500+60=9,560

Answer:

Here is a picture of a right trapezoid with bases of 8 and 10 cm

Answer:

would you rather, i think

Answer:

Step-by-step explanation:

f(x)=x+6

f is an increasing function then the range of is

f(-4,-1) = (f(-4) , f(-1))

f(-4) = -4 + 6 = 2

f(-1) = -1 + 6 = 5

Therefore

the range of is f(-4,-1) = (2 , 5)

Answer:

The median is 69.5

Step-by-step explanation:

The median is also known as the middle value. To find the median, you first arrange your data in numerical order.

Numerical order:

50, 50, 53, 55, 55, 57, 62, 63, 64, 64, 65, 68, 68, 69, 69, 70, 71, 71, 71, 72, 72, 73, 75, 75, 75, 77, 77, 78, 79, 80

There are 30 numbers, which means that the median is between the 15th and 16th value (69 and 70).

69 + 70 = 139

139/2 = 69.5

Therefore, the median of this data set is 69.5

Hope this helps!

Answer:

46 feet

Step-by-step explanation:

it is a 8-15-17 Pythagorean Triple (or you can use the Pythagorean theorem)

P=8+8+15+15=46

The perimeter of the rectangle with a length of 15 feet and has a diagonal that measures 17 feet is: A. 46 feet.

To find the perimeter of the rectangle, we need to know the width of the rectangle. Let's call the width of the rectangle W.

In a rectangle, the diagonal, length, and width are related by the Pythagorean theorem:

Diagonal² = Length² + Width²

In this case, the diagonal (D) is 17 feet, and the length (L) is 15 feet. So we have:

17² = 15² + W²

289 = 225 + W²

Now, let's solve for W:

W² = 289 - 225

W² = 64

W = √64

W = 8 feet

Now that we know the width is 8 feet, we can calculate the perimeter (P) of the rectangle:

Perimeter = 2 * (Length + Width)

= 2 * (15 + 8)

= 2 * 23

Perimeter = 46 feet

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Answer:

that means he will have 25.2