Consider the system of equations.

5x + 2y = 12
5x – 2y = 28

What is the solution to the system of equations? Show work using substitution or elimination to support your answer.

A (4, -4)

B (-4, 4)

C (5, -6.5)

D (4, 16)

Answer:

b

Step-by-step explanation:

Answer:

B)  57

Step-by-step explanation:

since BD ≅ BC then ∡C = ∡D

6x-9 = 3x + 24

subtract 3x from each side to get:

3x-9 = 24

add 9 to each side to get:

3x = 33

divide each side by 3 to get:

x = 11

substitute 11 into 'x' in 3x + 24 to get:

3(11) + 24 = 33+24 = 57

check:

substitute 11 into 'x' in 6x - 9 to get:

6(11) - 9 = 66 - 9 = 57

Answer:

252, 585, 6750

Step-by-step explanation:

We have to think that the regular price represents 100% and we need 10 of 10% to make an 100%. So if we divide the regular price by 10 will get our 10%.

i) A CFL bulb if the marked price is Rs. 280

10 % of 280 is 280/10 = 28

discounted price is 280 -28 = 252

ii) A bunion if the marked price is Rs. 650.

10 % of 650 is 650/10 = 65

discounted price is 650 -65 = 585

iii) A gas cooker if the marked price is Rs. 7500

10 % of 7500 is 7500/10 = 750

discounted price is 7500 -750 = 6750

Answer:  1 1/14

Step-by-step explanation: sorry if im wrong

Answer:

The largest side is ST

Step-by-step explanation:

It's the largest side because it is opposite to the largest angle

Answer:

1) answer is 2x^2 - x + 6

2) answer is 2x^2 + 2x + 2

Step-by-step explanation:

i dont know if this is what you wanted, but i tried to follow the directions as best i could

Answer:

2x2 - 2x + 6 - (-3x)  = 2x2(tiny) + x + 6

or

-(3 - 2x2) + 5 +2x = 2x2(tiny) + 2x +2

Step-by-step explanation:

I don't remember exactly how you find the smallest, sorry...

Answer:

p < 14/3

Step-by-step explanation:

Answer:

a.divide both sides with 3

Step-by-step explanation:

Answer:

y = 3x + 5

Step-by-step explanation:

y = total cost

x =  basket of apples

5 = admission fee

y =  cost per basket  + admission fee  

y =  3x + 5

Answer:

I think it`s the second one

Step-by-step explanation:

Answer: The answer is the second choice. Hope this helps!

Answer:

32

Step-by-step explanation:

The interior angles of a triangle add up to 180.

Subtract 98 and 50 from 180.

180-(98+50)=32

Step-by-step explanation:

you add all the values and equate them to 180

I hope you find this useful, Mark as Brainliest please, it's very much appreciated.

Explanation:

In one minute, Diego can type 35 words;140÷4

At this rate, it will take him 11 minutes to type 385 words;385÷35

Therefore, he can type 525 words in 15 minutes; 35×15

Answer:

Hope this helps.

Step-by-step explanation:

1. 385 x 4 = 1540/140

    =11

2. 15/4 = 3.74 x 140

    =525

Step-by-step explanation:

there u have it, since y is 0, we make a straight line that passes through 2 and shade the numbers that are <2

Inequalities are used to represent unequal expressions

The inequality that represents the number  of  seeds her apple could  have is [tex]\mathbf{A < 6}[/tex]

Represent the fruits with the first letter.

So, we have:

[tex]\mathbf{W =3A - 1}[/tex] --- watermelon is one less than three times apple

[tex]\mathbf{O =5A - 13}[/tex] --- orange is thirteen less than five times apple

[tex]\mathbf{W > O}[/tex] --- the seeds in watermelon exceeds orange

Substitute expressions for W and O in [tex]\mathbf{W > O}[/tex]

[tex]\mathbf{3A - 1 > 5A - 13}[/tex]

Collect like terms

[tex]\mathbf{13- 1 > 5A - 3A}[/tex]

[tex]\mathbf{12 > 2A}[/tex]

Divide both sides by 2

[tex]\mathbf{6 > A}[/tex]

Rewrite as:

[tex]\mathbf{A < 6}[/tex]

The inequality that represents the number  of  seeds her apple could  have is [tex]\mathbf{A < 6}[/tex]

Read more about inequalitues at:

https://brainly.com/question/20383699

Answer:

84 cm²

Step-by-step explanation:

Area triangle = 1/2(b x h)

Area = 1/2(21 x 8)

Area = 1/2(168)

Area = 84

84 cm²

-Chetan K

Answer:

26.6

Step-by-step explanation:

simplify -26.6 divided by -1 to 26.6

Answer:

26.6

Step-by-step explanation:

- 26.6 / - 1

- 26.6 = - 1 x 26.6

- 1 = - 1 x 1

- 26.6 / - 1

= ( - 1 x 26.6 ) / ( - 1 x 1 )

= ( - 1 / - 1 ) x ( 26.6 / 1 )

= 1 x 26.6

= 26.6

Step-by-step explanation:

Indicating Precision of Measurements:

Scientists understand that the last digit (and only the last digit) in a measurement is an estimate. By writing 25.45 cm, you indicate that you are sure that the measurement was between 25.4 cm and 25.5 cm, and you estimate that it was about 5/10 of the way between them.Aug 18, 2005

Answer:

13 and 6

Step-by-step explanation:

QPR is 68 degrees

triangle=180 degrees

180-44=136

136/2=68 (R=68 and S=68)

R has two angles so both are 68 degrees

QPR=68 degrees

Answer:

The answer is : Rational

Answer:

Step-by-step explanation:

1.

3,4,5 will make a triangle.

2.

sum of any sides > third side

difference of any two sides < third side

3+4=7>5

4+5=9>3

5+3=8>4

again

4-3=1<5

5-3=2<4

5-4=1<3

so it makes one triangle.

3.

3,4,8

4.

3+4=7 not >7

again

8-4 =4 not <3

so they do not make a triangle.

Answer:

rational

Step-by-step explanation:

a is the answer

Answer:

y = -2/3x + 6

Step-by-step explanation:

replace the coordinates in the equation

y= mx + c

y= 8

x= -3

8= -2/3 (-3) + c

c + 2 = 8

c = 8 - 2

c = 6

y= -2/3x + 6

Answer:

$27.75

Step-by-step explanation:

Multiply $2.25 by 11 to get the answer

Step-by-step explanation:

He sold 11 lemonades for $2.75 each, so you need to multiply the numbers to get your answer-

11 x 2.75 = 30.25

Which means he made $30.25

$43.95

Step-by-step explanation:

If each bag costs 8.79 and Ramon bought 5 bags then you would multiply 5×8.79

Answer:

$26.37

Step-by-step explanation:

Ramon bought 3-pound bags of natural parrot food for $8.79 per bag. how much money did he spend?

If Ramon bought 3-pound bags of natural parrot food each is $8.70 per bag

It's time to add!!

8.79 + 8.79 + 8.79=               ANSWER:   $26.37

In Stacking! :)

 8.79

+8.79

 8.79

______

26.37

HOPE THIS HELPS YOU! :)

So a line that is perpendicular is a line that intercepts other line at a 90 degree angle.

Slope of perpendicular lines is the opposite sign and the reciprocal of the other.

So if your slope was 2 the perpendicular line would have a slope of -1/2.

So the equation, 2x + y = 3

Can be rewritten as

y= -2x+3

Perpendicular slope: 1/2

Since it intercepts/ passes the coordinates (5,4) it means that those values are included in the function input x and output y.

y=mx+b

4=1/2(5)+b

Solve for b (y intercept)

4-2.5=b

1.5=b

So the equation of the perpendicular is

y=1/2x+3/2 or y=.5x+1.5

Answer:

slope = - [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Calculate the slope of line t using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 11 ) and (x₂, y₂ ) = (5, 2 )

m = [tex]\frac{2-11}{5-1}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]

Parallel lines have equal slopes , then

slope of line u is - [tex]\frac{9}{4}[/tex]

Answer:

x = 8

Step-by-step explanation:

1. First, we should realize that the angle with 16x + 7 and the angle with 5x + 5 are same-side interior angles, meaning they add up to 180 degrees. This means that 16x + 7 + 5x + 5 = 180.

2. (Solving)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 12 from both sides.

Step 3: Divide both sides by 21.

Step 4: Check if solution is correct.

Therefore, x = 8.