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mr_godi [17]
2 years ago
15

Herky was given the following system of equations to solve. 3 x minus 2 y = 17. x minus 3 y = 1.

Mathematics
2 answers:
ioda2 years ago
5 0

Answer:

(7, 2 )

Step-by-step explanation:

Given the 2 equations

3x - 2y = 17 → (1)

x - 3y = 1 → (2)

Rearrange (2) expressing x in terms of y by adding 3y to both sides

x = 1 + 3y → (3)

Substitute x = 1 + 3y in (1)

3(1 + 3y) - 2y = 17 ← distribute and simplify left side

3 + 9y - 2y = 17

3 + 7y = 17 ( subtract 3 from both sides )

7y = 14 ( divide both sides by 7 )

y = 2

Substitute y = 2 into (3) for corresponding value of x

x = 1 + 3(2) = 1 + 6 = 7

Solution is (7, 2 )

LuckyWell [14K]2 years ago
3 0

Answer:

C: (7,2)

Step-by-step explanation:

I got it right on Edge

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Harman [31]
We are looking for the probability :
P(X > n)=0.05
Transform the law to standard normal like this:
P(\dfrac{X-545}{100}> \dfrac{n-545}{100})=0.05
The above formula is equivalent to this one:
P(\dfrac{X-545}{100}< \dfrac{n-545}{100})=0.95
From normal law table, we read the value of \dfrac{X-545}{100}.
\dfrac{X-545}{100}=1.7
Solving the above equation for the score n:
X-545=170
X=715, it is the score we are looking for. 
5 0
2 years ago
Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change. The sandwich cost $7.75 and sales tax was $
EleoNora [17]

Given

Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.

The sandwich cost $7.75 and sales tax was $0.47.

Find out the  cost of her drink

To proof

Let the cost of her drink be x.

As given in the question

Elysse paid for her sandwich and drink with a $10 bill and received $0.63 in change.

Elysse paid for her sandwich and drink = 10 - 0.63              

                                                                 =  $ 9.37

sandwich cost $7.75 and sales tax was $0.47

Than the equation becomes

x = 9.37 - (7.75 + 0.47)

x = 9.37 - 8.22

x = $ 1.15

The cost of the drink is $ 1.15.

Hence proved      

4 0
2 years ago
Read 2 more answers
1.488 divided by 2.1 rounded to nearest tenth
Neko [114]
The answer should be 0.70
7 0
2 years ago
Which algebraic expression represents the phrase "seven more than half of a number"?
Vika [28.1K]

Answer:

1/2x +7

Step-by-step explanation:

Let the unknown number be x

We want 1/2 of the number

1/2x

Then 7 more than  (add)

1/2x +7

4 0
2 years ago
Given RT below, if S lies on RT such that the
defon

Answer:

(-2, -3)

Step-by-step explanation:

If a segment having extreme ends as (x_1,y_1) and (x_2,y_2) is divided by a point (x, y) in the ratio of m:n,

x = \frac{mx_2+nx_1}{m+n}

y = \frac{my_2+ny_1}{m+n}

Since, a line RT has extreme ends as R(-5, 3) and T(-1, -5) then a point S(x, y) which divides RT in the ratio of 3 : 1 will be,

x = \frac{3(-1)+1(-5)}{3+1}

  = \frac{-8}{4}

  = -2

y = \frac{3(-5)+1(3)}{3+1}

  = -\frac{12}{4}

  = -3

Therefore, coordinates of the point S will be (-2, -3).

6 0
2 years ago
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