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strojnjashka [21]
3 years ago
9

Can someone help me solve this system of linear equations by the addition method?

Mathematics
1 answer:
schepotkina [342]3 years ago
3 0
4x-8y=4
3y=1
X=5/3
Y=1/3
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What is the selling price of an item if the original cost is $784.50 and the markup on the item is 6.5 percent?
JulijaS [17]

Answer:

Solution:

Given, cost price = $784.50

Profit = 6.5% of cost price

        = 6.5/100 × $784.50

        = $50.9925 [since, profit% is always on C.P.]

And selling price = cost price + profit

                      = $784.50 + $50.9925

                      = $835.4925

Hence, selling price = $835.4925

5 0
2 years ago
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Please Identify the congruent triangles in the figure.
Tpy6a [65]

The missing steps are each right angles and \angle R \cong \angle O.

Solution:

Step 1: Given data:

\overline {P Q} \cong \overline{M N}

\overline{Q R} \cong \overline{N O}

\overline{P R} \cong \overline{M O}

Step 2: In the two polygons,

\angle Q =90^\circ and \angle N =90^\circ

\angle Q \cong \angle N (Each right angle)

Step 3: Given

\angle P \cong \angle M

Step 4: By third angle theorem,

If two angles in one triangle are congruent to the two angles in the other triangle, then the third angles in the triangles also congruent.

\angle R \cong \angle O

Step 5: By the definition of congruent polygons,

If two same shape polygons have all the angles are congruent and all the corresponding sides are congruent then the polygons are congruent.

Hence \Delta P Q R \cong \Delta M N O.

Therefore the missing steps are each right angles and \angle R \cong \angle O.

5 0
3 years ago
Rewrite the equation using Ax+By=C form
cupoosta [38]

Answer:

6x - y = - 6

Step-by-step explanation:

Given

y + 6 = 6(x + 2) ← distribute parenthesis

y + 6 = 6x + 12 ( subtract y from both sides )

6 = 6x - y + 12 ( subtract 12 from both sides )

- 6 = 6x - y OR 6x - y = - 6 ← in the form Ax +By = C

6 0
3 years ago
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A college some completed some courses worth 3 credits and some courses worth 4 credits. The students earned a total of 59 credit
Law Incorporation [45]

The student completed 13 courses with 3 credit hours.

Step-by-step explanation:

Total credit hours = 59 credits hours

Total courses = 18

Let,

3 credit hours courses = x

4 credit hours courses = y

According to statement;

x+y=18     Eqn 1

3x+4y=59   Eqn 2

Multiplying Eqn 1 by 3

3(x+y=18)\\3x+3y=54\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(3x+4y)-(3x+3y)=59-54\\3x+4y-3x-3y=5\\y=5

Putting y=5 in Eqn 1

x+5=18\\x=18-5\\x=13

The student completed 13 courses with 3 credit hours.

Keywords: linear equation, elimination method

Learn more about linear equations at:

  • brainly.com/question/12764620
  • brainly.com/question/12791734

#LearnwithBrainly

3 0
3 years ago
Please help and show work! you can show work if you want.
PtichkaEL [24]
The volume of a cylinder =
V= \pi r ^{2} h
V = 3.14 X 7^{2} X18
V = 2769.48 
Or if you want exact number using 3.14159...
V = 2770.88 <span />
6 0
3 years ago
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