When 59,527 is divided by 23, the quotient is 2,588 R ___.

Un sistema de ecuaciones es un conjunto de ecuaciones que operan con el mismo conjunto de variables, de tal forma que buscamos solucionar ambas ecuaciones al mismo tiempo.

En este problema querremos encontrar un sistema de ecuaciones para poder encontrar la cantidad de canicas que recibe el hijo mayor.

Encontraremos que recibe 45 canicas

La información que se nos da es:

"Don simón repartió 60 canicas entre ambos hijos"

"El hijo mayor recibe 3 veces la que el menor"

Definamos las variables:

x = cantidad que recibe el hijo mayor

y = cantidad que recibe el hijo menor.

Como sabemos que la cantidad total de canicas es 60, entonces tenemos:

x + y = 60

Como tambien sabemos que el mayor recibe 3 veces lo que el menor, podemos escribir:

x = 3*y

Entonces tenemos 2 equaciones, las cuales podemos combinar en un sistema de ecuaciones.

x + y = 60

x = 3*y

Para resolver este sistema, el primer paso sería aislar una de las variables en una de las ecuaciones. Como queremos resolverlo para x, debemos aislar la otra variable.

Podemos hacerlo en la segunda ecuación:

x/3 = y

Ahora podemos reemplazar esto en la primer ecuación:

x + y = 60

x + x/3 = 60

(4/3)*x = 60

x = (3/4)*60 = 45

x = 45

Podemos concluir que el mayor recibe 45 canicas.

Si quieres aprender mas puedes leer:

https://brainly.com/question/17174746

Here <5=<8 then

[tex]\\ \sf\longmapsto <7+<8=90[/tex]

[tex]\\ \sf\longmapsto 29+<8=90[/tex]

[tex]\\ \sf\longmapsto <8=90-29[/tex]

[tex]\\ \sf\longmapsto <8=61[/tex]

Step-by-step explanation:

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Step-by-step explanation:

[tex] \frac{58}{165}[/tex]

[tex] \frac{79}{225} [/tex]

[tex] \frac{13}{37} [/tex]

[tex] \frac{8}{45} [/tex]

[tex] \frac{17}{99} [/tex]

The answer is in the picture shown here

Step-by-step explanation:

The student incorrectly performed a rotation of 90° clockwise.

Answer:

C, the student incorrectly preformed a rotation of 90 degrees clockwise.

Step-by-step explanation:

Answer:

Jasper have left 1/2 feet

Step-by-step explanation:

3 5/6 - (1 2/3 x 2)

= 23/6 - 10/3

= 23/6 - 20/6

= 1/2

Answer:

Jasper has [tex]3/6[/tex] feet of rope left.

Step-by-step explanation:

[tex]1 \frac{2}{3} + 1\frac{2}{3} = 3 \frac{1}{2} = 3\frac{2}{6} \\\\3 \frac{5}{6}- 3\frac{2}{6}= \frac{3}{6}[/tex]

Answer:

1 5/16

Step-by-step explanation:

(-1/4 - 1/2) ÷ (-4/7)

Parentheses first

Get a common denominator

(-1/4 - 1/2 *2/2)

(-1/4 - 2/4)

-3/4

Replace in the equation

(-3/4 ) ÷ (-4/7)

Copy dot flip

-3/4 * -7/4

21/16

1 5/16

[tex]\\ \rm\Rrightarrow \left(\dfrac{-1}{4}-\dfrac{1}{2}\right)\div \dfrac{-4}{7}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-1-2}{4}\times\dfrac{-7}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-3}{4}\times \dfrac{-7}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{21}{16}[/tex]

[tex]\\ \rm\Rrightarrow 1\dfrac{5}{16}[/tex]

Step-by-step explanation:

[tex] \frac{x + 1}{5} + \frac{x + 1}{6} +\frac{x + 1}{7} +\frac{x + 1}{8} +\frac{x + 1}{9} +\frac{x + 1}{10 } = 0[/tex]

[tex](x + 1)( \frac{1}{5} + ... + \frac{1}{10} ) = 0[/tex]

Since the second factor is non-zero, the only possible condition for the equation to hold is,

[tex]x + 1 = 0[/tex]

[tex]x = - 1[/tex]

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  a(n) = 1/2(-8)^(n-1)

Step-by-step explanation:

The general term of a geometric sequence is ...

  a(n) = a(1)×r^(n-1)

where a(1) is the first term, and r is the common ratio.

Here, the first term is a(1) = 1/2. The common ratio is the ratio of any two sequential terms: r = 32/-4 = -8. Then the explicit formula is ...

  a(n) = 1/2(-8)^(n-1)

Answer:

Umm I'm only in middle school umm I think it's A bc there pointing in the same line

Answer:

Jane is 12 and Harvey is 36

Step-by-step explanation:

3x+x=48

4x=48

x=12

3(12)=36

1(12)=12

Answer: There are 100 blue marbles.

Step-by-step explanation:

252 x 2/7 = 72

72 is the number of the red marbles.

(252-72) x 4/9 = 80

80 is the number of the green marbles.

252-72-80 = 100

There are 100 blue marbles.

Answer:

Step-by-step explanation:

Either way works. It comes to the same thing.

(2x-5)(x+1)=9

F: 2x*x = 2x^2

O: 2x*1 = 2x

I: -5 * x = -5x

L: -5*1 = -5

2x^2 + 2x - 5x - 5 = 9    Subtract 9 from both sides

2x^2 - 3x - 14 =0            Divide by 2 (it makes life easier).

Factoring you get

(2x - 7)(x + 2)

2x - 7 = 0

2x = 7

x = 3.5

x + 2 = 0

x = -2

The x intercepts = (3.5,0) and (-2,0)

I've put a graph up for the given equation.

Answer:

Step-by-step explanation:

let Garrett orders x stickersfrom each company.

then

30+0.80x=14+1.20x

Answer:

w=3/2

Step-by-step explanation:

[tex]|5w+7|=|5w+8|\\5w + 7 =\pm (5w+8)\\5w + 7 = 5w + 8 \text{ or } 5w + 7 = -5w-8\\7 = 8 (\text{abusrd}) \text{ or } 10 w =15\\w= 15/10 = 3/2.[/tex]

Answer:

It is D

9 * (12 + 7) = 9 * 19 = 171

now we test to see if 9 * 12 + 9 * 7 is the same

9 * 12 = 108

9 + 7 = 63

108 + 63 = 171

Step-by-step explanation:

9514 1404 393

Answer:

  295 mg

Step-by-step explanation:

The proportion can be written ...

  dose/(96 lb) = (200 mg)/(65 lb)

  dose = (96/65)(200 mg) ≈ 295.4 mg . . . . . multiply by 96 lb, cancel lb units

The doctor might recommend 295 mg for a 96-pound patient.

Answer:

35

Step-by-step explanation:

take no. of red footballs be 4x and yellow footballs be 3x

4x=20,   x=5

=> 3(5)= 15

total no. of footballs= 20+15= 35

Answer:

[tex]14\frac{2}{11}[/tex] ft

Step-by-step explanation:

Let the height of the tree equal x. Shadows are proportional to the height of an object, so we can write a proportion where to numerators are the object and the denominators are the shadow:

[tex]\frac{x}{26} =\frac{6}{11}[/tex]

Now, to solve for x, we can cross-multiply:

11x = 6*26

11x = 156

x =  [tex]14\frac{2}{11}[/tex]

Answer:

1. We are told they have similar APR (starting) and Annual fee of 25 and similar late fee of 35

Hence she should price the first card with a 19.99% APR

If the segments are congurent they are of equal length.

So constructing an equation will not be hard.

Take for example [tex]y=x[/tex] and limit x to be between and including 0 and 1 for the first segment. In this case our segment is [tex](a,b)\to(c,d)=(0,0)\to(1,1)[/tex].

Now, d has been fixated to the value of 1 and we need to construct a segment from [tex](1,e)\to(1,f)[/tex].

Since both x coordinates of the endpoints of the segment are fixed to be 1, we cannot run anymore, that is, we fixated our run. But on the rise (y-axis direction) we can still move one unit up.

Let e be 1 and f be 2. The distance between [tex](1,1)[/tex] and [tex](1,2)[/tex] is 1 which is also the distance between [tex](0,0)[/tex] and [tex](1,1)[/tex].

Now we are asked to find the equation of both segments.

First segment is described by [tex]y=x[/tex] with limited domain of [tex]0\leq x\leq1[/tex].

Second segment is described by [tex]x=2[/tex] with again limited domain of [tex]1\leq y\leq2[/tex].

Hope this helps :)

The length, l of a segment with points (x₁, y₁), and (x₂, y₂) is presented as follows; [tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

An equation that can be created given that the segment with points (a, b) and (c, d), and the segment with points (d, e), and (d, f) are congruent is presented as follows;

√((d - b)² + (c - a)²) = f - e

The reason the above equation is correct is presented as follows;

Given that the segments are congruent, therefore;

Length of (a, b) and (c, d) = Length of (d, e) and (d, f)

Length of (a, b) and (c, d) = √((d - b)² + (c - a)²)

Length of (d, e) and (d, f) = √((f - e)² + (d - d)²) = f - e

Which gives the equation;

√((d - b)² + (c - a)²) = f - e

Learn more about segments in the coordinate plane here:

https://brainly.com/question/14817604

Step-by-step explanation:

-2a-2-a-b+a-6+b

-2a-a+a-b+b-2-6

-2a+0-8

-2a-8

Answer:

-2a-8

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

irrational

Step-by-step explanation:

every number that times with pi are irrational, only zero gives a rational number

Answer:

8 is one's. 5 is tens.

Step-by-step explanation:

the 5 is in the tens place, and the 8 is in the ones place.

Answer:

First we need to convert this fraction number to decimal then only we caan mark that on a number line

[tex]\frac{5}{4}[/tex] divide

You will get 1.25

Now mark 1.25 on number line

9514 1404 393

Answer:

Step-by-step explanation:

Let s represent the number Mark started with. After buying 8 more, he then had s+8. After the fire, he had ...

  (1/2)(s +8) = 20

This equation can be solved by multiplying by 2, then subtracting 8.

  s +8 = 40

  s = 32

Mark began with 32 boxes.

Step-by-step explanation:

13

[tex]3 + (20 \div 5) - ( {2}^{2}) [/tex]

[tex]3 + 4 - 4 = 3[/tex]

15

[tex] \frac{10 - {3}^{2} }{20 - (3 \times 4)} [/tex]

[tex] \frac{10 - 9}{20 - 12} [/tex]

[tex] \frac{1}{8} [/tex]

Answer:

15

Step-by-step explanation:

You have to calculate the boys name using ratio expression.

3/5 × 25

= 15

Answer:

second graph shows x=4 because you can see from origin point and counting will makex=4