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yarga [219]
4 years ago
9

Solve the system of elimination -2x+2y+3z=0 -2x-y+z=-3 2x+3y+3z=5

Mathematics
1 answer:
Dahasolnce [82]4 years ago
5 0

Answer:

x = 1 , y = 1 and z = 0

Step-by-step explanation:

-2x+2y+3z=0    ------(1)

-2x-y+z=-3     --------(2)

2x+3y+3z=5    ---------(3)

<u>To find the values of x,y and z</u>

(3) - (2)⇒ 2y + 4z = 2

y + 2z = 1   --------(4)

(1) - (2)⇒ 3y +2z =3   ---(5)

(5) - (4)⇒ 2y = 2

y = 1

Substituting the value of y in (4) we get z =0

Substituting the value of y and z  in (1) we get x = 1

Therefore x = 1 , y = 1 and z = 0

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riadik2000 [5.3K]

If the 35 teaspoons of blue paint are there. Then for the purple paint, we need to add 42 teaspoons of red paint.

<h3>What are ratio and proportion?</h3>

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two things are equal.

A mixture of purple paint contains 6 teaspoons of red paint and 5 teaspoons of blue paint.

To make the same shade of purple paint using 35 teaspoons of blue paint, then the amount of the red paint that you need will be

Let x be the amount of the red color needed.

Then we have

\rm \dfrac{x}{35} = \dfrac{6}{5}\\\\\\x \ \ = \dfrac{6 \times 35}{5}\\\\\\x \  \  = 6 \times 7\\\\\\x \  \ = 42 \ spoons

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

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8 0
2 years ago
(7 x 18 + 45) : 3 x 2 what is it please?​
11Alexandr11 [23.1K]

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7 0
3 years ago
S= 2 ( lw + wh + lh ) Where L = 15 inch W= 12 inch , H = 3 inch
Amiraneli [1.4K]

Answer:

S=261

Step-by-step explanation:

S= 2 ( lw + wh + lh ) ............. equation 1

Given is

L = 15 inch

W= 12 inch

H = 3 inch

putting the values in equation 1

S= 15*12+ 12*3+ 15*3

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7 0
4 years ago
Alice, Ben, and Calvin are waiting at a taxi stand, since taxis are the only ride service in this town. Although they haven’t me
mr_godi [17]

Answer: $17.78; 26.67; 35.56

Step-by-step explanation:

Given the following information.:

Price of cab = $2 per mile , irrespective of the number of passengers.

Alice's destination = 20 miles

Ben's destination = 30 miles

Calvin's destination = 40 miles

If the three share a cab, the cab fee will be (cost per mile * number of miles of the farthest destination).

($2 * 40) = $80

Let price = a, for 20 miles

Ben's mile = 30 miles = 1.5 times Alice's miles, then Ben's pay = (1.5a)

Calvin's mile = 40 miles = 2 times Alice's miles, then Calvin's pay = (2a)

Thus,

a + 1.5a + 2a = $80

4.5a = $80

a = $80 / 4. 5

a = $17.78

Ben's pay = 1.5a = $26.67

Calvin's pay = 2a = $35.56

8 0
3 years ago
I need help!. My daughters lesson is on improper Fractions and mixed numbers. I need the answers to all of these math problems a
Lerok [7]
When doing improper fractions, you're going to keep the denominator the same. For example in question number 6, there are 18 triangles filled in so the improper fraction would be 18/5. Mixed numbers consist of the number of whole numbers filled and the remainder in the fraction. Therefore number 7, mixed number is 2 3/5 and the improper fraction would be 13/5. I'll list the rest of the answers below:
8.) Mixed: 1 3/5 Improper: 8/5
9.) Mixed: 4 1/4 Improper: 17/4
10.) 5/4, 7/4
12.) 13/8, 7/4, 19/8, 5/2, 21/8
13.) 4/3, 17/9, 7/3

Note: You can simplify improper fractions, this is why you'll get different denominators on the number line questions.
8 0
3 years ago
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