A sum of money is divided into the ratio 3:4. The larger portion is then divided into 3 parts in
the ratio
If the smallest part is $192, find the original sum of money.

Answer:

2x+y=8

x=3 y=2

2x+y=4

x=1.5 y=1

Step-by-step explanation:

I dont have a step by step answer but i hope this helps!

Answer:

y=6x+p

Step-by-step explanation:

Answer:

6p= c bc each pound cost $6 so if u have p pounds, 6p would equal to the cost or c

Answer:

√3

Step-by-step explanation:

(2√3)²+x²=(√15)²

(4*3)+x²=15

12+x²=15

x²=15-12

x²=3

x=√3

Answer:

If your phone is set on vibrate, then it will not disturb others.

Step-by-step explanation:

It's an if then statement.

Answer:

solve the bracket first that is -7+15 = 9 *7 = 63

Step-by-step explanation:

[tex]\text{Hello! :)}[/tex]

[tex]\large\boxed{(3x + 4)(x + 8)}[/tex]

[tex]\text{Factor the polynomial:}\\3x^{2} +28x +32\\\\\text{Find two numbers that multiply into 32 and sum up to 28.}\\\text{Take into account the leading coefficient of 3:}\\\\\text{The numbers 4 and 8 work; arrange them so that they sum up to 28:}\\\\(3x + 4)(x + 8)[/tex]

Answer:

5.8cm < 580mm

Step-by-step explanation:

Since 1mm=0.1cm, then 580mm=58cm which is bigger than 5.8cm, so therefore 5.8cm < 580mm

Answer: 5.8cm < 580mm

Its really easy if you think about it for a second.

Answer:

-25

Step-by-step explanation:

-9r - 7

-9(2) - 7

-18 - 7

-25

Answer:

-7x+14=4x-19

          -7x

      14-3x-19

         -3x-15

Step-by-step explanation:

Answer:

Sum of 3 angles in a triangle=180

x+55+72= 180

x+ 127=180

x= 180-127

x= 53

Answer:

63 degrees

Step-by-step explanation:

All angles of a triangle always add up to 180 degrees.

So you take both angles and add them together-55+72=117

You then would take 180 and subtract the total- 180-117=63

And that would be your final answer  

Answer:

Step-by-step explanation:

=5

Answer:

y = 2x - 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define

Slope m = 2

Random point (-1, -4)

y = 2x + b

Step 2: Find b

-4 = 2(-1) + b

-4 = -2 + b

-2 = b

Step 3: Rewrite linear equation

y = 2x - 2

Answer:

10⁻⁵

Step-by-step explanation:

1 / 100000

1 / 10⁵

10⁻⁵

After solving the given fraction, the value of power of 10 will be equal to 10⁻⁵.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the information in the question,

The given fraction is,

1/10000

The value, 100000 is in the  denumerator so, the power should be in negative.

So, it can be written as,

1 × 10⁻⁵.

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Answer:

x=-3.5 or -7/2 (same thing)

y=21/5

Step-by-step explanation:

x intercept is when y=0

y intercept is when x=0

so

x intercept is

-6x=21

x=21/-6

x=-3.5

y intercept is

5y=21

y=21/5

Answer:

13

Step-by-step explanation:

x-4=9

+4  +4

x=13

Answer:

13

Step-by-step explanation:

Step 1:

x - 4 = 9

Step 2:

x = 9 + 4

Answer:

x = 13

Hope This Helps :)

Answer:

4.727

Step-by-step explanation:

An easy way to think of something being divided by a fraction is by turning the fraction into a decimal. In this case, it's 5 1/2, which is the same as 5.5. So, you can just calculate 26 / 5.5, by hand, or on a calculator, and the answer is 4.727.

Hope this helps!

Hey there!☺

[tex]Answer:\boxed{4\frac{8}{11}}[/tex]

[tex]Explanation:[/tex]

[tex]26/5\frac{1}{2}[/tex]

Divide both fractions.

[tex]26/5\frac{1}{2}=\frac{52}{11}[/tex]

52/11 needs to be simplified so let's simplify it.

[tex]\frac{52}{11}=4\frac{8}{11}[/tex]

[tex]4\frac{8}{11}[/tex] is our final answer.

Hope this helps!

Answer:

-68 < -63 < -47 < -44 < -34

Answer:

He became king of the Franks and then conquered other lands.

Step-by-step explanation:

Charlemagne became king of the Franks after the death of his father, Pepin the Short.

He inherited a sizeable portion of land that included what is now France, the Low Countries, and parts of Germany.

Charlemange launched several military campaigns throughout his long reign (he ruled for 46 years), and was highly successful in most of them. He conquered Northern and Central Italy, what is now Switzerland and Austria, and the majority of modern day Germany.

He was crowned Holy Roman Emperor in the year 800 by Pope Leo III. In exchange for this, Charlemange ceded a section of Central Italy to the Pople: the Papal States, which would be under direct control of the Roman Catholic Church until the Napoleonic Era.

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

28x pi=87.96 in

Answer:

35/128

Step-by-step explanation:

7 coins are tossed, each coin has two possibilities therefore total number of possibilities are 2^7 = 128. The possibilities of obtaining 4 heads and 3 tails is 7C4 = 7C3 = 35. Therefore the probability of obtaining 4 heads and 3 tails 35/128.

Answer:

50

Step-by-step explanation:

For x number of newspapers, their earnings are:

D = 5 + 0.04x

J = 2 + 0.10x

5 + 0.04x = 2 + 0.10x

3 = 0.06x

x = 50

Answer:

3.5 centimeters

Step-by-step explanation:

The total length of segment AC is 7.2 cm. The second segment AB, is 3.7 cm. If you subtract 3.7 from 7.2 you will get 3.5 cm.

Answer:

2x = 36°

8x = 144°

Step-by-step explanation:

8x + 2x = 180°

10x = 180°

x = 180/10

x = 18

then:

2x = 2*18 = 36°

8x = 18*8 = 144°

The value of x from the given diagram is 18. then each angle will be 2x = 36° and 8x = 144°

Linear equation is equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on cartesian plane with axes of those variables, give a straight line.

Also, the triangle ACD, the sum of the interior angle of the triangle is 180 degrees;

8x + 2x = 180°

10x = 180°

x = 180/10

x = 18

Then:

2x = 2*18 = 36°

8x = 18*8 = 144°

Hence the value of x from the given diagram is 18.

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Answer:

.

Step-by-step explanation:

Corinne do 4 pages homework in one hour.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Corinne take 3 hours to do 12 pages of homework.

Since, We have;

Corinne take 3 hours to do 12 pages of homework.

Hence, In 1 hour, Number of pages = 12 / 3

                                                       = 4

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 From the given options, Option (C) shows the type of compound interest earned.

  Formula for the compound interest earned continuously is given by,

[tex]A=P.e^{rt}[/tex]

Here, [tex]A=[/tex] Final amount

[tex]P=[/tex] Principal amount

[tex]r=[/tex] rate of interest

[tex]t=[/tex] Time

  Therefore, Option (C) will be the correct option.

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Answer:

C

Step-by-step explanation:

Zheng made a mistake as the side AC does not correspond to the side CD. The correct option is C.

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle. An included angle is found between two sides that are under consideration.

In the given figure the triangles △ABC and △CED are similar the incorrect statement made by Zheng is that the side AC does not correspond to the side CD.

It means that the △ABC and △CED will not be similar to each other. But the two triangles △ABC and △CED are similar.

Therefore, Zheng made a mistake as the side AC does not correspond to the side CD. The correct option is C.

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Step-by-step explanation:

(56+56)+(34+34)

2(56+34)

2(90)

180

hope it helps!