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tangare [24]
2 years ago
6

Solve the system of linear equations by substitution.

Mathematics
1 answer:
yaroslaw [1]2 years ago
5 0

Answer:

x=5, y=2

Step-by-step explanation:

1) Subtract 2y from both sides of x+2y to get x=9-2y

2) Substitute x into the first equation to get 3(9-2y)-2y=11

3) Solve for y (y=2)

4) Plug y into either equation: x+2(2)=9 x=5

5) The answer is (5, 2)

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Greatest common factor M^3n and 5m^5n^2
xenn [34]

Answer:

m³n

Step-by-step explanation:

8 0
3 years ago
What is The expression Equivalent for 2(5x - 6)
julsineya [31]

2(5x-6)

10x-12

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hope it helps

7 0
2 years ago
Read 2 more answers
1. Suzie had d DVDs. Her mother bought her 39 more DVDs.
Fantom [35]

Answer:

1. The expression that represents the total number of DVDs Suzie has is d + 39

2. The expression for the amount Dave pays for t hours of practice in a month is 10 + 2 × t

3. The expression for the total cost for n people invited for the party is $50 + $5 × n

4. The expression for the perimeter of a square with side length, x is 4 × x

5. The expression for the total cost of pizza with n extra toppings is $8 + $2 × n

6. The expression for the total cost in phone charges after t months is $25 + t × $15

7. The expression for the total number of hockey sticks for n players is 4 × n

8. The relation that represent the term for each number pattern is given as follows;

Value = nth term of number

9. The relation for the perimeter of an equilateral triangle with side length k is given as follows;

Perimeter of an equilateral = 3 × Side length

∴ Perimeter of the given equilateral triangle = 3 × k

When k = 15, we have;

Perimeter of the equilateral triangle = 3 × 15 cm = 45 cm

10. a) The relation for the total cost of j jersey is $50 + $15 × j

b) The relation for the total cost of j jersey by the other company is $80 + $12 × j

c) The charges for 12 jerseys by the first company is $50 + $15 × 12 = $230

The charges for 12 jerseys by the first company is $80 + $12 × 12 = $224

Therefore, the second company will charge less if 12 jerseys are ordered

11. The real life situation that could be represented by each relation are;

a. n + 7

For every mass in grams of goods bought, n, we get a 7 gram mass of packaging

b. 4s + 5

The distance from a point covered by jogging at 4 m/s after s seconds while starting at 5 meters away from the point in the direction of jogging

12. a) The relation for the total number of music stand is n/2

b) The relation for the total number of chairs is n + 4

c) The relation for the total number of sheets of music is 7 × n

Step-by-step explanation:

8 0
2 years ago
Can someone help me with this question "Given the triangle below, what is m (angle) < B, rounded to the nearest tenth?
JulsSmile [24]
The answer
the sum of the angles in a triangle is always 180°
m < B + m < A + m < C = 180°,  
let's find m < B, 
by applying sinus rule 
 14/sinB=10/sinC, so sinB= 10xsinB = 14 x sinC and therefore, 
sinB=( 14/10 )sinC =7/2 sin 36° =0.82, so arcsinB=55.08°
the answer is C 55.4°



8 0
3 years ago
Find the greatest common factor of the following monomials: 20a3 and 8a2
dimulka [17.4K]

GCF of given monomials are 4a^2

<em><u>Solution:</u></em>

<em><u>Given that we have to find the greatest common factor</u></em>

Given monomials are:

20a^3 \text{ and } 8a^2

When we find all the factors of two or more numbers, and some factors are the same, then the largest of those common factors is the Greatest Common Factor

Let us first find the GCF of 20 and 8 and then find GCF of variables and then multiply them together

<em><u>GCF of 20 and 8:</u></em>

The factors of 8 are: 1, 2, 4, 8

The factors of 20 are: 1, 2, 4, 5, 10, 20

Then the greatest common factor is 4

GCF\ of\ a^3 \text{ and } a^2\\\\a^3 = a^2 \times a\\\\a^2 = a^2

Thus GCF is a^2

<em><u>Therefore GCF of monomials are:</u></em>

\text{GCF of } 20a^3 \text{ and } 8a^2 = 4 \times a^2 = 4a^2

Thus GCF of given monomials are 4a^2

5 0
3 years ago
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