A map is drawn using the scale of 1 cm to 8 miles. The distance between two towns on the map is 7.5 cm. Work out the actual distance between the two towns.​

Answer:

4a²-8a+4

Step-by-step explanation:

[tex](2a-2)^{2} =(2a-2)(2a-2)[/tex]

[tex](2a-2)(2a-2) = 4a^{2} -4a-4a+4[/tex]

[tex]4a^{2} -4a-4a+4=4a^{2} -8a+4[/tex]

Answer:

→ Compare the 2 grade A's

School B's is higher

→ Compare the 2 grade B's

School B's is higher

→ Now formulate a brief response

School B has more entrants in the exam and therefore has a higher proportion of students achieving top grades

Answer: 12

Step-by-step explanation:

     A straight line has a measurement of 180° so these two angles added together will equal 180°.

     (10x - 20)° + (6x + 8)° = 180°

     10x° + 6x° + 8° - 20° = 180°

     16x° -12° = 180°

     16x° = 192°

     x = 12

Supplementary angles

Answer:

refer to this image here:

hope this helps :)

We will use graphical way to solve it

Graph it

Solution is

Answer:

17 because 2 is taken from 18 and 18-2=16 but 17 and 17 is close to 16

if dimensions were 5 and 12, that means ratio was 5:12. if we increase wach dimension by the same amount, the ratio is the same.

so:

5x×12x=120

60x²=120

x²=120÷60

x²=2

x=√2

that means each dimension was increased by √2

so dimensions are: 5√2 and 12√2

Answer:

answer 436 tubig is water halimaw is monster ang Ganda mo Sana kaso ang height mo pang kinder

Step-by-step explanation:

answer is 436 I hope it helps

well, she put 130 bucks, and then she got back 132.6 after one year, so the interest earned is 132.6 - 130 = $2.6, thus

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2.60\\ P=\textit{original amount deposited}\dotfill & \$130\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 2.60 = (130)(\frac{r}{100})(1)\implies 2.6=\cfrac{130r}{100}\implies 260=130r \\\\\\ \cfrac{260}{130}=r\implies 2=r[/tex]

Answer:

yes

Step-by-step explanation:

Answer: 75$

Step-by-step explanation:

1/4 is equal to 25/100.

meaning that 1/4 is 25 out of 100.

Based on that, if we subtract 25 from 100 we get 75.

Hey ! Buddy

Find the value of x .

We have to find the value of x .

The concept of this question belongs to the sum of all the three interior angles of triangle i.e. sum of all the three interior angles of triangle is equal to 180° .

As we know that sum of all the three interior angles of triangle is equal to 180° . So ,

[tex] \rightarrow \: Angle \: 1 + Angle \: 2 \: + Angle \: 3= 180°[/tex]

Now , substituting values of Angle 1 , 2 and 3 :

[tex] \longmapsto \: x° + 43° + 36° = 180° [/tex]

Now , adding 43 and 36 in right hand side :

[tex] \longmapsto \: x° + 79° = 180° [/tex]

Now , transposing 79° to right hand side :

[tex] \longmapsto \: x° = 180° - 79° [/tex]

Now , subtracting 79° from 180° :

[tex] \longmapsto \: \pink{\boxed{ { \bold{x° = 101°}}}}[/tex]

Answer:

Slope of the line that is parallel: 2

Slope of the line that is perpendicular: [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

2x - y = 1 <== subtract 2x to both sides

-2x     -2x

-y = -2x + 1 <== divide both sides by -1

/-1      /-1

y = 2x - 1

The slope of the line that is parallel to this line is 2.

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (2)

2. Flip it (1/2)

3. Change the sign (-1/2)

For a slope of 2, the reciprocal would be: [tex]-\frac{1}{2}[/tex]

Hope this helps!

Note that.

Slopes of parallel line are equal

Slopes of perpendicular lines are negative reciprocals

So

Compare to slope intercept form

Slope of the parallel line=2

Slope of the perpendicular line=-1/2

Answer:

39600

Step-by-step explanation

for the amount of minutes we'll multiply 11*60

11*60=660

for the amount of seconds we'll multiply the amount of minutes by 60 so

660*60=39600

Answer:

D, n=16b

Step-by-step explanation:

There are 16 busses, each of which can hold 16 seats. There are n of those busses.

Therefore, 16*n = the total number of seats on the busses altogether.

Answer: C

Step-by-step explanation:

This is a Pythagorean triple.

Answer:

12 years old

Step-by-step explanation:

3x+5=41

3 times a number and 5 more

'more' usually means adding

41-5 =36

36/3 =12

Answer:

Equation: 41 = 3x + 5

x = 12

Step-by-step explanation:

Hello!

Betty is 5 more than 3 times Jadyn's age. Since Jadyn's age is unknown, we'll call that unknown variable x.

Betty is 5 more than 3 times x. Betty is also 41 years old.

Equation: 41 = 3x + 5

Now we have to solve for x

Solve for x:

Jadyn is 12 years old.

Answer:

C. dialtion

Step-by-step explanation:

A dialtion either reduces or enlarges the dimensions of a shape, causing for them to no longer be congruent.

A reflection wouldn't change the congruency of the shape since it is just reflecting it across whatever axis. The dimensions stay the same.

A rotation would simply rotate/turn the shape. The dimensions would not be changed.

A translation would slide the shape elsewhere whether it be vertically, horizontally, or diagonally. The dimensions would not change.

Therefore, we can conclude that option C makes the most sense.

hope this helps!

Step-by-step explanation:

Slope= 7-7/-3-4

0/-7

0

y-7 = 0(x-4)

y-7= 0

Answer:

Step-by-step explanation:

The perimeter of an equilateral triangle is:

P = 3a (where a any length of the triangle)

The area of an equilateral triangle is:

[tex]A = \frac{\sqrt{3} }{4} a^{2}[/tex] (where a is the side length)

Using the area formula we can rearrange it to get the formula of the length of the equilateral triangle:

[tex]a = \frac{2}{3} 3^{\frac{3}{4} } \sqrt{A}[/tex]

Then three important formulas are

[tex]\\ \rm\Rrightarrow Perimeter=3s[/tex](As sides are equal)

[tex]\\ \rm\Rrightarrow Area=\dfrac{\sqrt{3}}{4}s^2[/tex]

[tex]\\ \rm\Rrightarrow Height=\dfrac{\sqrt{3}s}{2}[/tex]

Answer:

c

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The bond's time to maturity for the Ford bond based on the present date and the maturity date is 77 years 6 months.

The time to maturity for a bond is the length of time that a bondholder would receive interest payments on the bonds held. It is the difference between the present date and the matuity date of the bond.

Time to maturity = May 15 2097 - November 16, 2020 = 77 years 6 months

To learn more about bonds, please check: https://brainly.com/question/13326746

Answer:

200

Step-by-step explanation:

156.7

since the number before the hundred is more than 4

it becomes 200

Answer:

the answer is 725.71

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

The 45-45-90 triangle is a special isoceles right triangle. If you look at the help image attached, you will see that it has the following rules:

Find x

c = x√2

25√2 = x√2

25√2 ÷ √2 = x

x = 25

I hope this helps!

Answer:

838 inches²

Step-by-step explanation:

Finding the area of the countertop including the hole

⇒ Area of countertop including hole: LB

⇒ Area of countertop including hole: (24)(48)

⇒ Area of countertop including hole: 1152 inches²

Finding the area of the hole (sink)

⇒ Area of hole: πr²

⇒ Area of hole: (π)(D/2)²

⇒ Area of hole: (π)(20/2)²

⇒ Area of hole: (π)(10)²

⇒ Area of hole: (π) x 100

⇒ Area of hole: 3.14 x 100 = 314 inches²

Finding the area excluding the hole

1152 - 314 = Area of countertop (excluding the hole)

838 inches² = Area of countertop (excluding the hole)

Answer:

37 and 43

Step-by-step explanation:

There are some ways to do this, but this is what I like to do. First, since there are 2 people, I divide 80 by 2, which is 40. Now I add 3 to one person and subtract 3 from one person, because the age difference is 6 years, and there are two people (if you divide them you get 3). Now you get the answer; 37 and 43.

Answer:

C. 16(0.5x - 0.75y + 2) = 8x - 12y + 32

Step-by-step explanation:

Answer:

Yeah I got the answer

Step-by-step explanation:

C option is correct

We will have to take common like this

. 16(0.5x - 0.75y + 2) = 8x - 12y + 32

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Translating the figure involves chaging the position of the figure

The coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)

The coordinates are given as:

(−3, 2), (−4, 1), and (−1, −5)

The rule of translation 3 units right and 5 units up is:

(x + 3, y + 5)

So, we have:

(−3 + 3, 2 + 5), (−4 + 5 , 1 + 5), and (−1 + 3, −5 + 5)

Evaluate the sum

(0, 7), (1 , 6), and (2, 0)

Hence, the coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)

Read more about translation at:

https://brainly.com/question/11468584

Answer:

2

Step-by-step explanation:

Following the substitution rules:

O becomes P and

E becomes F

because they are vowels(a,e,i,o,u) change to next letter.

C becomes A

L becomes J

G becomes E

because constants change to the letter two before the given letter.

So COLLEGE becomes APJJFEF

so it now has 2 vowels.