Find the largest positive integer that will divide 542, 436, 398 leaving reminders 7, 11, 15 respectively

Answer:

C

Step-by-step explanation:

3*3^2+8/2-(4+3)=27+4-7=24

Answer:

24

Step-by-step explanation:

Remember the order of operations: PEMDAS

P=Parenthesis  

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtraction

(Now you break it down)

3x3(2)+8/2-(4+3)

3x3(2)+8/2-7

3x9+8/2-7

27+8/2-7

27+4-7

31-7

Then you get your answer! (24)

Answer:

the answer for this is 2.64575

√7=2.64

please mark this answer as brainlist

Se necesitan 10 micros si queremos que cada 3 micros transporten 90 pasajeros.

En principio, sabemos que 300 pasajeros pueden transportarse en 4 microbuses.

Entonces, el numero de pasajeros que va por cada micro será el cociente entre el numero de pasajeros y el numero de micros:

N = 300/4 = 75

Queremos responder:

¿Cuántos micros se deben aumentar para  que por cada 3 micros se transporten 90 pasajeros?

Definamos X como el numero de grupos de 3 micros que tendriamos en esta situación.

Entonces 300 sobre X, debe ser igual a 90 (el numero de pasajeros que va en cada grupo de 3 micros)

300/X = 90

300 = 90*X

300/90 = X = 3.33...

Notar que el número total de micros sera 3 veces X:

3*X = 3*3.33.... = 10

Se necesitan 10 micros.

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9514 1404 393

Answer:

  1/8

Step-by-step explanation:

The percent symbol % can be thought of as being fully equivalent to /100.

  12 1/2% = (12 1/2)/100 = (25/2)/100 = 25/200 = 1/8

_____

Additional comment

It can be useful to memorize the decimal equivalents of the reciprocals of the numbers up to 12.

  1/12 = 0.0833...(repeating 3)

  1/11 = 0.0909...(repeating 09)

  1/10 = 0.1

  1/9 = 0.111...(repeating 1)

  1/8 = 0.125

  1/7 = 0.142857...(repeating the same 6 digits)

  1/6 = 0.1666...(repeating 6)

  1/5 = 0.2

  1/4 = 0.25

  1/3 = 0.333...(repeating 3)

  1/2 = 0.5

Of course, any of these is expressed as a percentage by multiplying by 100%. 1/8 = 12.5%, 1/6 = 16.6...% (repeating 6)

Answer:

Usual topology

Step-by-step explanation:

hope this help you

Answer:

10 wide 30 long

Step-by-step explanation:

1. Start guess and check.

2. When you get to 10 follow this:

10x3=30. 30+30+10+10=80

80=80

Answer:

Its N2500

Step-by-step explanation:

5% of 50000 is 2500, so thats how much commision he got

The dealer earned a commission of N2,500.00 on the sale of recharge cards worth N50,000.00.

To calculate the commission earned by the dealer, we need to determine 5% of the total value of the recharge cards sold.

Given that the dealer sold N50,000.00 worth of cards, we'll calculate the commission using the following formula:

Commission = (Percentage/100) * Total Value

In this case, the percentage is 5% and the total value is N50,000.00.

Using the formula, we have:

Commission = (5/100) * N50,000.00

Simplifying the equation:

Commission = 0.05 * N50,000.00

Commission = N2,500.00

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Answer:

40

Step-by-step explanation:

Let x represent the mystery number.

Create an equation to represent the situation, then solve for x:

0.85x - 5 = 29

0.85x = 34

x = 40

So, the mystery number is 40.

With a 10% profit the radio would be 2000 x 1.10 = 2,200

A 20 % discount means it would sell for 80% of the total price.

Divide the 2200 by 80% to get the fixed price:

2200/0.8 = 2750

Fixed price = 2750

Answer:

x = 31

ROS  = 62

Step-by-step explanation:

QOR + ROS = 90 degrees as indicated by the box

28+ 2x = 90

Subtract 28 from each side

2x = 90 -28

2x = 62

Divide by 2

2x/2 = 62/2

x = 31

ROS = 2x = 2*31 = 62

Answer:

C. x= 31; mZROS = 62°

Step-by-step explanation:

90=28+2x

2x= 90-28

2x= 62

x= 62/2

x=31°

2(x)= 2× 31 = 62

I hope I helped you^_^

Answer:

point E

Step-by-step explanation:

it lies after 1 and before two and 1.6 bar is after 1 and before 2

Answer:

first term = -1/5

I cant see part b (sorry its too blurry)

thirteenth term = -0.2

part d: -19a/95a -0.2a

Step-by-step explanation:

socratic

Answer:

[tex]thank \: you[/tex]

Answer:

-42/11

Step-by-step explanation:

x = y - 8

5x = 6 - 6y

So now solve the system of equations, divide everything in the second equation by 5 to get it to x = 6/5 - 6y/5

Now...

x = y - 8

x = 6/5 - 6y/5

Now substitute first equation into the second and x is gonna be -42/11 or the first number

Answer:

145

Step-by-step explanation:

Angles in a straight line = 180

So,

Let unkown angle be x,

x+35=180

x=180-35

x=145

Answer:

Step-by-step explanation:

NO perimeter does not map directly to area....

take a square with side of 5 ... area is 5*5 which  is 25 perimeter is 20

if you now take a rectangle with long side 8 and short side 2

the perimeter is 20 but the area is 16

The triangles are similar due to SAS congruence postulate rule.

Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides. The triangles that like one another but may not be exactly the same size are said to be similar triangles. When two objects have the same shape but different sizes, they can be said to be similar. This indicates that identical shapes superimpose one another when enlarged. The term "Similarity" refers to this characteristic of like shapes.

Given triangles are similar due to SAS congruence postulate rule.

SAS or Side-Angle-Side Similarity Criterion,

According to the SAS similarity theorem, If any two of the first triangle's sides are exactly proportional to those of the second triangle, and if the angle created by these two sides of each individual triangle is equal, then the two triangles must be similar triangles.

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Answer:

1520.5 in^2

Step-by-step explanation:

Surface area=2*pi*r^2+2*pi*r*h=2*pi*r*(r+h)=2*pi*11*22=1520.5 in^2

Answer:

I believe it is 12,393.86

Answer:

u= 2 ; v = 1

Sen 60 = [tex]\frac{\sqrt{3}}{u}[/tex]  so u=2

Using the pythagoras theorem [tex]u^{2} =v^{2} +\sqrt{3}^{2}[/tex] so v =[tex]\sqrt{2^{2} - 3}[/tex] =1

Answer:

A large box weighs 18.5 kilograms and a small box weighs 15.5 kilograms

Step-by-step explanation:

Create a system of equations where l is the weight of one large box and s is the weight of one small box.

2l + 12s = 223

5l + 3s = 139

Solve by elimination by multiplying the bottom equation by -4:

2l + 12s = 223

-20l - 12s = -556

Add these together and solve for l:

-18l = -333

l = 18.5

So, a large box weighs 18.5 kilograms. Plug in 18.5 as l into one of the equations, and solve for s:

5l + 3s = 139

5(18.5) + 3s = 139

92.5 + 3s = 139

3s = 46.5

s = 15.5

A large box weighs 18.5 kilograms and a small box weighs 15.5 kilograms.

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Answer:

Step-by-step explanation:

Two equations for the total weight can be written in general form as ...

  2L +12S -223 = 0

  5L +3S -139 = 0

These can be solved using the "cross multiplication method" by computing three differences:

  d1 = (2)(3) -(5)(12) = 6 -60 = -54

  d2 = (12)(-139) -(3)(-223) = -1668 +669 = -999

  d3 = (-223)(5) -(-139)(2) = -1115 +278 = -837

Then the weighs of the boxes are ...

  1/d1 = L/d2 = S/d3

  L = d2/d1 = -999/-54 = 18.5

  S = d3/d1 = -837/-54 = 15.5

The large box weighs 18.5 kg; the small box weighs 15.5 kg.

_____

Additional comment

If the coefficients are written in two rows of four numbers, with the first repeated at the end, the pattern of differences can be seen to be (ad -cb) for [a, b] in the first row and [c, d] in the second row of a pair of adjacent columns. This method of solution is fully equivalent to solution using Cramer's Rule for a system of equations represented by a matrix equation.

Answer:

Step-by-step explanation:

a₁ = 15

a₂/a₁ = 45/15 = 3

a₃/a₂ = 135/45 = 3

...

It is a geometric sequence with a common ratio r=3.

Sum of first 12 terms = a₁·(1-r¹²)/(1-r)

= 15·(1-3¹²)/(1-3)

= 15·(-531,441)/(-2)

= 3,985,800

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

To find the mean, add up all the numbers

18+ 19+ 19+ 4+14+ 8+ 22+ 3+ 1

108

Then divide by the number of terms

108/9 =

12

Answer:- 10[tex]m^{2}[/tex] + 3m -9

Step-by-step explanation: Given ;  

  A= -3 -m

  B= 3m -5[tex]m^{2}[/tex]

 2B + 3A

        solution

     2B + 3A

substitute A and B in the formula

    2(3m - 5[tex]m^{2}[/tex]) + 3(-3 -m)

    6m - 10[tex]m^{2}[/tex] - 9 - 3m   group like terms

    - 10[tex]m^{2}[/tex] + (6m -3m) -9

     - 10[tex]m^{2}[/tex] + 3m -9

Answer:

22,2

Step-by-step explanation:

average also known as mean

so you find it by adding all the numbers together and dividing them by how many there are

so 21,8 + 24,2 + 20.6 = 66,6 divided by 3 equals 22,2

The arc formed by the central angle ∠RQT is RT. The correct option is option B.

Given: The central angle ∠RQT

To find: The arc formed by the given central angle

A central angle of a circle is an angle formed by any two radii of the circle.  These radii each intersect the circle on a point, and the portion of that circle between the two points is called an arc.

As can be seen from the given figure, Q is the center of the circle and RQ and QT are radii of the circle. Clearly, the central angle ∠RQT is formed by the radii RQ and QT.

The points where these radii intersect the circle are R and T respectively. Then, the portion of the circle between R and T is the required arc.

However, this portion can be taken in two ways; the bigger portion between them (found by moving anti-clockwise from R towards T) and the smaller portion between them (found by moving clockwise from R towards T). These are called the major arc and the minor arc between R and T respectively.

Since it is not explicitly mentioned which arc is required, we will tacitly assume that the minor arc is required.

The minor arc between R and T is named by their end points, that is, as RT.

While not required, it should be noted that the major arc between R and T should be named by their end points and a point between them on the arc (for example RVT or RUT)

Thus, the arc formed by the central angle ∠RQT is RT.

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