Ann and Betty shared a sum of money in the ratio 2:3. If Ann received $120,what was the amount of money shared?

Answer:

20 gray squares

Step-by-step explanation:

Given

See attachment for squares

Required

Number of gray squares when white = 16

First, we calculate the equation that represents both squares.

The white squares

[tex]a = 2[/tex] --- initial

[tex]d = 4 - 2 = 6 - 4[/tex]

[tex]d = 2[/tex] -- difference between successive gray squares

So, the nth term is:

[tex]W_n = a + (n - 1)d[/tex]

[tex]W_n = 2 + (n - 1)*2[/tex]

[tex]W_n = 2 + 2n - 2[/tex]

[tex]W_n = 2n[/tex]

The gray squares

[tex]a = 6[/tex] --- initial

[tex]d = 8-6=10-8[/tex]

[tex]d = 2[/tex] -- difference between successive gray squares

So, the nth term is:

[tex]G_n = a + (n - 1)d[/tex]

[tex]G_n = 6 + (n - 1) *2[/tex]

[tex]G_n = 6 + 2n - 2[/tex]

[tex]G_n = 4 + 2n[/tex]

When the white squares is 16

[tex]W_n = 16[/tex] --- Calculate n

[tex]W_n = 2n[/tex]

[tex]16 = 2n[/tex]

[tex]8 = n[/tex]

[tex]n = 8[/tex]

To get the number of gray squares;

Substitute [tex]n = 8[/tex] in [tex]G_n = 4 + 2n[/tex]

[tex]G_n = 4 + 2 * 8[/tex]

[tex]G_n = 20[/tex]

Answer:

50 miles for every 1 hour traveled

Step-by-step explanation:

Answer:

B. 32d

Step-by-step explanation:

B. 32d

If Elaine earns $32 per day, 32 would act as how much she earns a day and 'd' would act as how many days she has worked.

E.g. Elaine worked 6 days. 32*6 = $192

Answer:

option B

1/ 3x^2(a-b)

Step-by-step explanation:

Answer:

600 to 700 words, i believe that's the answer...

Step-by-step explanation:

i really hope this helps :)

Answer:

it will be worth 3 grand meh pal

Step-by-step explanation:

Answer:

w = 2√155 ft ✅

Step-by-step explanation:

Given that:

depth (d) = 10½ ft

Volume (v) = 6,510 ft³

Find the width (w) of the hole!

If the base is a square, then

the width and the length of the base is 'equal', so the

Volume of a cuboid =

V = w²d

width = square root of the division of volume by depth

w = √(V/d)

w = √(6,510/10½)

w = √620

w = √(4×155)

w = 2√155 ft ✅

_________________

#StayPositive - kexcvi

from Indonesia

Answer:

x = 4 sqrt(3)

Step-by-step explanation:

x is not to be confused by the mark on the right angle -- X

The function is the cosine of Y which is 30 degrees.

The cosine of 30o is sqrt(3)/2

cos(30) = adjacent side / hypotenuse = sqrt(3) / 2

The adjacent side is 6

cos(30) = 6/ x = sqrt(3) / 2

6/x = sqrt(3) / 2                      Cross multiply

x * sqrt(3) = 6 * 2

x * sqrt(3)  = 12                       divide by sqrt(3)

x = 12 / sqrt(3)                        Multiply top and bottom by sqrt(3)

x = 12* sqrt(3) / sqrt(3) * sqrt(3)

x = 12 sqrt(3)/ 3                      Divide by 3

x = 4 sqrt(3)

Answer: can I see the question?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

we should first find the value of x.

Answer:

C

Step-by-step explanation:

(x-a)^2=5

x-3=root of 5

x= root of 5 +3

Answer: C≈116.24

Step-by-step explanation:

C=2πr=2·π·18.5≈116.23893

Answer:

(e) 5(3-x) I'm not writing the detailed answer because it's due in fine mins as you said

Answer: 22/13

Step-by-step explanation:

65e = 110

Divide 63 on both sides anyou get 22/13

Answer:

1,-3

Step-by-step explanation:

Answer:

when the dot's go left to right going upwards

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

You take the number of student in 8th grade that are on social media for more than an hour which gives you (12) and divide it by the total number of students (81).

12/81=0.148 repeating

You then round 0.148 repeating to 0.15 and then turn it into a percent by moving the decimal two places to the right.

The distance formula is:

D = sqrt((x2-x1)^2 + (y2-y1)^2)

D= sqrt ((6-2)^2 + (8-1)^2)

D = sqrt(4^2 + 7^2)

D = sqrt( 16 + 49)

D = sqrt(65)

D = 8.06

Rounded to the beat tenth = 8.1 units.

The answer is C. 8.1 units

Answer:

C

Step-by-step explanation:

S has coordinates (2 , 1) and U has coordinates (6, 8) . Computing the SU vector gives us (4 , 7)

taking the distance formula : sqrt(4^2 +7^2)

= sqrt(65) = 8.1 which is answer C

Answer:

2x + 6

Step-by-step explanation:

Solve for x: 2x+3x-3x = 2x

Solve numbers without the variable: 8-2 = 6

combined together: 2x + 6

Answer:

1

Step-by-step explanation:

you need to multiplau with is 12x+9-42

Answer: Part A : 4x-6 < 66

Part B : 15

Step-by-step explanation: I don't understand how to explain part A, but for part B, you subtract 66 by 6 to get 60. Then, divide 60 by 4 to get 15, the largest number you can have.

Answer:

x=5

Step-by-step explanation:

12 +3 / 12 = 15/12 = 1 1/4

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

x=5

Answer:

46.4 degree. by using sine law.

Answer:

[tex]\displaystyle m=2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Reading a Cartesian Plane

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 3)

Point (1, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

[tex]8^2[/tex] and 4 x 4 x 4

Step-by-step explanation:

4 to the third power, is the same as 4 x 4 x 4.

This is then equal to 64.

8 squared is also equal to 64, making it also an answer.

None of the other ones work.

Hope this helps and have a nice day!! :) :] :D

Answer:

B

Step-by-step explanation:

Answer:

45degrees, 79egrees and 56degrees

Step-by-step explanation:

Complete question:

The measure of the smallest angle of a triangle is 34 less than the measure of the largest angle of the triangle. The measure of the third angle is  11 more than the measure of the smallest angle. Find all three measures .

Let the smallest angle be x

Let the largest angle be y

Let the third angle be z

Since the sum of angle in the triangle is 180, then x+y+z = 180 .. 1

If the measure of the smallest angle of a triangle is 34 less than the measure of the largest angle of the triangle, this is expressed as;

x = y - 34

y = x + 34 ..... 2

If the measure of the third angle is  11 more than the measure of the smallest angle, this is expressed as;

z = x +  11 .... 3

Substitute 2 and 3 into 1;

x + (x+34) + (x+11) = 180

x+x+x+45 = 180

3x+45 = 180

3x = 180 - 45

3x = 135

x = 135/3

x = 45 degrees

From 2;

y = x+34

y = 45 + 34

y =79degrees

From3;

z = x+11

z = 45 + 11

z = 56degrees

Hence the measure of the angles are 45degrees, 79egrees and 56degrees

Answer:

- 8

Step-by-step explanation:

8( - 4 + 3)

- 32 + 24

- 8

Answer:

-8

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

Answer: 6.4

Step-by-step explanation:

d = sqrt ((x2 - x1)^2 + (y2 - y1)^2)

d = sqrt (41)

d = 6.4

Answer:

the angle closest to the 40degree angle is a right angle, so it is 90 degrees. The one with two lines is 50 degrees, and the farthest angle is 40 degrees

Step-by-step explanation:

A square symbol over an angle means it is a right angle, so it will always equal 90 degrees.

The already labeled angle (40 degrees) is equal to the farthest angle.

Once you have two angles, you can find the third angle by simply subracting the two from 180 like this:

180 - 90 - 40 = 50 degrees.