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3 years ago

Solve the system of equations. - 5x + 2y = 9 Y = 78 =

Mathematics

2 answers:

Oksi-84 [34.3K]3 years ago

7 0

Answer:

x = 147/5 and y = 78

Step-by-step explanation:

First solve by substitution and put 78 into y in -5x + 2y = 9 so you get 147/5

then plug 147/5 into x and find y

skad [1K]3 years ago

7 0

Answer:

x = -147/5 , y = 78

Step-by-step explanation:

- 5x + 2y = 9

Y = 78

Substitute the second equation into the first

-5x + 2(78) = 9

-5x +156 = 9

Subtract 156 from each side

-5x+156-156 = 9-156

-5x =147

Divide each side by -5

-5x/-5 =147/-5

x = -147/5

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What is 4x-4y/2=x+2 in slope intercept form?

Alla [95]

Answer:

The equation would be y = 3/2x - 1

Step-by-step explanation:

To find the answer in slope-intercept form, simply solve for y.

4x-4y/2=x+2 ----> Subtract 4x from both sides

-4y/2=-3x+2 ----> Multiply both sides by 2

-4y = -6x + 4 -----> Divide by -4

y = 3/2x - 1

3 0

4 years ago

A square corner of 16 square centimeters is removed

oee [108]

Option C:

Area of the remaining paper = (3x – 4)(3x + 4) square centimeter

Solution:

Area of the square paper = $9x^2$ sq. cm

Area of the square corner removed = 16 sq. cm

Let us find the area of the remaining paper.

Area of the remaining paper = Area of the square paper – Area of the corner

Area of the remaining = $9x^2-16$

= $(3x)^2-(4)^2$

Using algebraic formula: $a^2-b^2=(a+b)(a-b)$

$=(3x-4)(3x+4)$

Area of the remaining paper = (3x – 4)(3x + 4) square centimeter

Hence (3x – 4)(3x + 4) represents area of the remaining paper in square centimeters.

8 0

3 years ago

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Cost of an airplane flight increase from $250 to $260. What is the percentage increase?

Sedaia [141]

Answer:

Solution given:

Increase percentage= $\frac{260-250}{250}*100$ %

=4%

the percentage increase is 4%.

3 0

3 years ago

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Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation c

-Dominant- [34]

Answer:

$c + h = 5$ and

$0.75c + 1.10h = 4.55$

Step-by-step explanation:

Assume that Mike bought only cookies and hot dogs.

The total can be represented as:

$Cookies + Hot\ Dogs = 5$ --- (1)

And the amount spent can be represented as:

$Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55$ --- (2)

Required

Determine the system of equation

Let c represents the number of cookies and h, number of hot dogs.

$Cookies + Hot\ Dogs = 5$ implies $c + h = 5$

And

$Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55$

Cost of cookies = 0.75 * c

Cost of hot dogs = 1.10 * h

So, we have:

$0.75c + 1.10h = 4.55$

Hence, the equations are:

$c + h = 5$ and

$0.75c + 1.10h = 4.55$

Solving for c and h

Make c the subject in $c + h = 5$

$c = 5 - h$

Substitute 5 - h for c in $0.75c + 1.10h = 4.55$

$0.75(5- h) + 1.10h = 4.55$

$3.75- 0.75h + 1.10h = 4.55$

$3.75 +0.35h = 4.55$

Collect Like Terms

$0.35h = 4.55 - 3.75$

$0.35h = 0.8$

Solve for h

$h = 0.8/0.35$

$h = 2.28571428571$

$h =2$ -- approximated

Recall that:

$c = 5 - h$

$c = 5 - 2$

$c =3$

5 0

3 years ago

PLEASE HELP ASAP!!!!!!!!!!!

marusya05 [52]

Answer:(1) The correct option is b. (2) The correct option is c.

Explanation:

(1)

It is given that the △ABD≅△FEC.

So by (CPCTC) corresponding parts of congruent triangles are congruent.

$\angle CFE=\angle DAB$

It is given that the angle DAB is 63 degree.

$\angle CFE=63^{\circ}$

Therefore, the correct option is b.

(2)

It is given that the △ABD≅△FEC.

So by (CPCTC) corresponding parts of congruent triangles are congruent.

$BD=EC$

$BD=CD+DE$

$BD=8+10$

$BD=18$

Therefore, the correct option is c.

4 0

3 years ago

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