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xxMikexx [17]
3 years ago
6

Solve the system using the elimination method.

Mathematics
1 answer:
Sloan [31]3 years ago
8 0

Answer:

x=151/64   y=9/8 z=-51/32

Step-by-step explanation:

2x+2y+5z- (2x-y+z)=-1-2

3y+4z=-3

2x+2y+5z- (2x+4y-3z)=-1-14

-2y+8z=-15

We have two equations 3y+4z=-3 and -2y+8z=-15 (We get it due to elimination method)

3y+4z=-3 (2)

-2y+8z=-15 (-3)

6y+8z=-6

6y-24z=45

(6y+8z)- (6y-24z)= -6-45

32z=-51

z=-51/32

3y-204/32=-3

3y= -96/32+204/32

3y=108/32

y=36/32=9/8

2x+2*9/8+5*(-51/32)=-1

2x+9/4-255/32=-1

2x+72/32-255/32=-1

2x-183/32=-32/32

2x=151/32

x=151/64

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A local village recently reported that enrollment increase by 10 percent of last year if enrollment last year was 17,113 about h
yulyashka [42]
17113 divided by 100=171.13

171.13*10=1711.3

17113+1711.3=18824.3

You can then round this to get a whole number if you need to.

Hope I helped xx
8 0
3 years ago
Consider circle O. If AE = 7, EC = 2, and BE = 4, what is ED?
miv72 [106K]
The correct answer is 3.5

Two chords AC and BD are intersecting inside the circle. The Intersecting Chord Theorem states that when two chords intersect inside a circle, the products of their segments are equal.

Thus, for the given circle:
(AE) × (EC) = (BE) × (ED)

The lengths of the segments are
AE = 7
EC = 2
BE = 4
ED = ?

To solve for ED, we simply substitute the known values into the equation
ED =  \frac{7(2)}{4} = \frac{14}{4} = 3.5
6 0
3 years ago
Read 2 more answers
figure a is a scale image of figure b the scale image that maps figure a onto figure b is 1:7 1/4 enter the value of x
skad [1K]

Answer: x=21.75

Step-by-step explanation:

You need to convert from mixed number to decimal number.

In order to do this, you can follow the steps shown below:

1. You must divide the numerator of the fraction by the denominator of the fraction.

2. Now you must add the quotient obtained to the Whole number part.

Then, you get:

7\frac{1}{4}=7+0.25=7.25

Then, the scale image that maps "Figure A" onto "Figure B" is:

1:7.25

Finally, in order to find the value of "x", you need to multiply the given length of the corresponding side of "Figure A" by 7.25.

Therefore, the result is:

x=(3)(7.25)\\\\x=21.75

3 0
3 years ago
Neeeeed helpppppp please
MissTica

Answer:

Scale factor = 7

Step-by-step explanation:

Dilation with scale factor to map HEFG to DABC will be,

Scale factor = \frac{\text{Dimension of Image DABC}}{\text{Dimension of preimage HEFG}}

                    = \frac{\text{Length of CD}}{\text{Length of GH}}

Length of CD = Distance between two points C(0, -7) and D(-7, 0)

                       = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

                       = \sqrt{(-7-0)^2+(0+7)^2}

                       = \sqrt{98}

                       = 7\sqrt{2}

Length of GH = Distance between G(0, -1) and H(-1, 0)

                       = \sqrt{(-1-0)^2+(0+1)^2}

                       = \sqrt{2}

Scale factor = \frac{7\sqrt{2} }{\sqrt{2} }

                    = 7

6 0
3 years ago
Please answer ASAP WILL GIVE BRAINIEST (PLEASE NO SPAM ANSWERS)
Alexeev081 [22]

There are 11 trains containing giraffes and 7 trains containing rabbits.

<h3>Equation</h3>

An equation is an expression used to show the relationship between two or more numbers and variables.

Let x represent the number of train with giraffes and y represent the number of train with rabbits.

Hence:

25x = 40y

25x - 40y = 0    (1)

Also:

25x + 40y > 500   (2)

From both equations:

A possible solution is x = 11, y = 7

There are 11 trains containing giraffes and 7 trains containing rabbits.

Find out more on Equation at: brainly.com/question/22688504

4 0
2 years ago
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