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2 years ago

Simultaneous equation Find x and y 2x+y=5 X+3y=5

2 answers:

6 0

$x+3y=5 \ =>\boxed{x=5-3y} \\\\ 2x+y=5 \\\\ 2(5-3y)+y=5 \\\\10-6y+y=5 \\\\ -5y=5-10 \\\\ -5y=-5 \ |:(-5) \\\\ \boxed{y=1} \\\\ x=5-3*1 \\\\ x=5-3 \\\\ \boxed{x=2}$

dlinn [17]2 years ago

4 0

$Elimination\ method:\\ \left\{\begin{array}{ccc}2x+y=5\\x+3y=5&|multiply\ both\ sides\ by\ (-2)\end{array}\right\\+\left\{\begin{array}{ccc}2x+y=5\\-2x-6y=-10\end{array}\right\ \ \ |add\ sides\ of\ the\ equations\\------------\\.\ \ \ \ -5y=-5\ \ \ \ \ |divide\ both\ sides\ by\ (-5)\\.\ \ \ \ \ \ \ \boxed{y=1}\\\\substitute\ the\ value\ of\ y\ into\ one\ of\ the\ equations\ (\#2)\\\\x+3\times1=5\\x+3=5\ \ \ \ \ \ |subtract\ 3\ from\ both\ sides\\\boxed{x=2}\\\center\boxed{Answer:x=2\ and\ y=1\to(2;\ 1)}$

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The ratio of students who wear glasses to the total class is 2:5

Taya2010 [7]

Answer:

a. 2:3, b. 25 students, c. 3:2

Step-by-step explanation:

a. 5 (total) - 2 (with glasses) = 3 (without glasses), making the ratio 2:3.

b. We can assign the total students with the variable x. 3:5=15:x, 75=3x, x=25. 25 total students.

c. 25 (total students) - 15 (without glasses) = 10 (with glasses). (10+5):(15-5) is 15:10, which, when simplified, equals to 3:2.

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2 years ago

HG is the perpendicular bisector of FK.<br> What is the length of GH?<br> 8<br> 9<br> 15<br> 34

igor_vitrenko [27]

Answer:

GH=15

Step-by-step explanation:

HK= FK/2= 16/2= 8

Using pythagoras theorem in triangle GHK,

GH²= GK²-HK²

= 17²-8²

= 225

GH= √225

=15

4 0

2 years ago

The model shown was used to find the product of two fractions: A rectangle divided into nine columns of equal size and 4 rows of

Valentin [98]

The equation that represents the array (rectangles and area) multiplication model that sows two grey shaded columns of length one ninth each and three rows with dots of width one fourth each is option <em>a</em>

a) The equation with fractions two ninths times three fourths is equal to six thirty sixths

$\dfrac{2}{9} \times \dfrac{3}{4} = \dfrac{6}{36}$

<h3>What is an array (area) multiplication model?</h3>

An array representation of a multiplication is a rectangular visual order of positioning of rows and columns that indicates the terms of a multiplication equation.

Please find attached the area model to multiply the fractions

The terms of the equation represented by the model are indicated by the two columns of length one ninth each shaded grey and the three rows of width one fourth each covered with dots, such that the equation can be presented as follows;

$\left(\dfrac{1}{9} +\dfrac{1}{9}\right) \times \left(\dfrac{1}{4} +\dfrac{1}{4} + \dfrac{1}{4} \right) = \dfrac{2}{9} \times \dfrac{3}{4} =\dfrac{6}{36}$

The equation that the model represents is therefore;

The equation with fractions two ninths times three fourths is equal to six thirty sixths

Learn more about multiplication models here:

brainly.com/question/24586779

#SPJ1

8 0

1 year ago

I need this for a test; help asap

weqwewe [10]

Answer:

SHAKE A LIL A** FA DA MONEY I GET MONEY YEA YEAAAAAA

Step-by-step explanation:

5 0

2 years ago

You are playing tennis with a friend.The path of the tennis ball after you return to a serve can be modeled by the function y=-0

Ivahew [28]

#1) 4.445 ft
#2) yes

Explanation
#1) The maximum height is the y-coordinate of the vertex. We first find the axis of symmetry, given by x=-b/2a:

x=-0.17/2(-0.005) = -0.17/-0.01 = 17

Plugging this into the equation,
y=-0.005(17²)+0.17(17)+3 = 4.445

#2) Substituting 30 into the equation,
y=-0.005(30²) + 0.17(30) + 3 = 3.6

The ball will 3.6 in the air, so yes, it will clear the 3 ft tall net.

4 0

2 years ago