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

Answers

Answer 1

Answer:

$420

Step-by-step explanation:

Given data

GIven ratio=  2:3

The total ratio= 2+5= 7

Ann's share= $120

Let us apply the part to all approach

let the total amount be x

so for Ann

2/7= 120/x

cross multiply

2x= 120*7

2x= 840

divide both sides by 2

x= 840/2

x= 420

Hence the amount shared is $420


Related Questions

Hey !! Can someone please help me with this??

Answers

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

Find the distance, c, between (0, 2) and (5, –2) on the coordinate plane. Round to the nearest tenth if necessary.

Answers

Answer: 6.4

Step-by-step explanation:

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

d = sqrt (41)

d = 6.4

What is the distance between points S and U if S is 2, 1 and U is 6, 8

Round to the nearest tenth of a unit.


A. 3.3 units

B. 6.4 units

C. 8.1 units

D. 12.0 units

Answers

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

Gary draws this sequence of patterns of white and grey squares. The sequence is continued. How many grey squares will there be with 16 white squares?

Answers

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]

help me plsss it’s due in five minuted

Answers

Answer:

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

What is a positive data set on a graph?

Answers

Answer:

when the dot's go left to right going upwards

Step-by-step explanation:

What's is the slope of this line?
Need this ASAP​

Answers

Answer:

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

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Reading a Cartesian Plane

Coordinates (x, y)

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

Substitute in points [Slope Formula]:                                                             [tex]\displaystyle m=\frac{5-3}{1-0}[/tex][Slope] Subtract:                                                                                              [tex]\displaystyle m=\frac{2}{1}[/tex][Slope] Divide:                                                                                                  [tex]\displaystyle m=2[/tex]

A contractor digs a rectangular hole for the basements of a new house that is 10 1/2 feet deep. What is the width of the hole if 6,510 cubic feet of dirt are removed?

Answers

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


The perimeter of a rectangle is 158 cm. If the length is 7 more than 3 times the width:
i)
Write an equation for the length (l) in terms of the width (w).

Use your understanding of simultaneous equations to determine the unknown
dimensions.

Find the area of the rectangle.

Answers

Width of rectangle = x
Length =3x+7
Perimeter of rectangle = 158cm
2(l+w)=158
2(3x+7+x)=158
2(4x+7)=158
8x+14=158
8x=158-14
x=144/8
x=18
Therefore the width of the rectangle is 18cm
Length=3x+18+7
54+7=61cm
Area=lxw
=61x18
=1098^2

Find the value of x in the triangle shown below.

Answers

Answer:

46.4 degree. by using sine law.

find the marked angles

Answers

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.

I need help with this question​

Answers

Answer:

option B

1/ 3x^2(a-b)

Step-by-step explanation:

If 65xE=110 what is E

Answers

Answer: 22/13

Step-by-step explanation:

65e = 110

Divide 63 on both sides anyou get 22/13

Select all expressions that are equivalent to 2x+3x+8-3x-2.
Select all that apply
2x + 6
2x + 10
O O O O
5x - 3x + 6
5x - 3x + 10

Answers

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

For each ordered pair determine whether it’s a solution to 5x plus 2y = -1

Answers

Answer:

1,-3

Step-by-step explanation:

Write an expression for the amount that Elaine earns per day.
A.32+d
B.32d
C.32/d

Answers

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

Cassie purchases a new car for $30,000 that depreciates 6% each year. How much will the car be worth in 10 years? PLEASE HELP ASAP I NEED THIS GRADE!!

Answers

Answer:

it will be worth 3 grand meh pal

Step-by-step explanation:

I NEED HELP ASAP!!! PLEASE I ONLY HAVE LIKE 5 MINUTES

Answers

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.

How many words does the average 30 month old child understand?

600 to 700 words

700 to 800 words

800 to 900 words

900 to 1000 words

Answers

Answer:

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

Step-by-step explanation:

i really hope this helps :)

600 to 700 hope it helped

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 more than the measure of the smallest angle. Find all three measures .

Answers

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

Addison is shooting a free throw. The initial height of the ball is represented by the ______

.A Maximum

B. Minimum

C. x-intercept

D. y-intercept

Answers

Answer:

B

Step-by-step explanation:

B the minimum because she just throw the ball

HELP THIS IS DUE RN!!!!

Answers

Answer:

50 miles for every 1 hour traveled

Step-by-step explanation:


find the exact value of x.

Answers

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:

Find the circumference of a circle with radius, r =
18.5m.
Give your answer in terms of pi

Answers

Answer: C≈116.24

Step-by-step explanation:

C=2πr=2·π·18.5≈116.23893

1. Both of the equations shown have the same solution when solved for x. What is the value of k? Show or explain all your work.
Captionless Image
Your answer

Answers

Answer:

1

Step-by-step explanation:

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

solve (x-3)^2=5
A. x=5+√3
B. x=-3+√5
C. x=3+√5
D. x=8 and x=-2

Answers

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

does anyone know the answer to this?

Answers

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.

Simplify the expression:
8(-4 + 3) =

Answers

Answer:

- 8

Step-by-step explanation:

8( - 4 + 3)

- 32 + 24

- 8

Answer:

-8

Step-by-step explanation:

Hiii :) They took me down

(Just so they don't delete me) - What is 2x+2x

Answers

Answer:

4x

Step-by-step explanation:

the two triangles are similar,
what is the value of x?

Answers

Answer:

x=5

Step-by-step explanation:

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

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

x=5

The Answer is: x=5

I do believe
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