11. Solve the system of Equations
5x + 2y = -18
-3x + 7y = 19
Solve for X and Solve for y

Answer:

The value of x is 1

Step-by-step explanation:

Let us solve the question

∵ Δ PQR ≈ Δ FGH

→ From similarity, then their corresponding sides have an equal ratio

∴ [tex]\frac{PQ}{FG}[/tex] = [tex]\frac{QR}{GH}[/tex] = [tex]\frac{PR}{FH}[/tex]

∵ PQ = 3, QR = x + 3, PR = 2

∵ FG = 6, GH = 6x + 2, FH = 4

→ Substitute them in the ratios above

∴ [tex]\frac{3}{6}[/tex] = [tex]\frac{x+3}{6x+2}[/tex] = [tex]\frac{2}{4}[/tex]

→ By using cross multiplication between the first two ratios

∵ 3 × (6x + 2) = 6 × (x + 3)

∴ 3(6x + 2) = 6(x + 3)

∴ 3(6x) + 3(2) = 6(x) + 6(3)

∴ 18x + 6 = 6x + 18

→ Subtract 6x from both sides

∵ 18x - 6x + 6 = 6x - 6x + 18

∴ 12x + 6 = 18

→ Subtract 6 from both sides

∵ 12x + 6 - 6 = 18 - 6

∴ 12x = 12

→ Divide both sides by 12

∴ x = 1

Answer:

1121 - 684.26 = 436.74

436.74/1121 = 0.38959857

0.38959857 X 100 = 38.96%

Step-by-step explanation:

change divided by original amount, multiplied by 100

Answer:

I think it C

Step-by-step explanation:

if im wrong please tell me

hope this helps

Answer:

2/1

Step-by-step explanation:

2 up and 1 to the right

Answer:

1:2:2

Step-by-step explanation:

To simplify this ratio, you need to find a common factor to divide by. In this instance, that would be 3.

Answer:

x=9

Step-by-step explanation:

plug in the number 9

-2(9)= -18

-18+3= -15

Answer:

Pink Starburst occupies 20% of the total bag space

Step-by-step explanation:

Given

Ratio of pink (P) starburst to yellow (Y) starbursts [tex]= 0.25[/tex]

Mathematically, it can be written as

[tex]\frac{P}{Y} = 0.25\\Y = \frac{P}{0.25} \\Y = 4P[/tex]

Then the % space taken by pink startburt is equal

[tex]\frac{P}{4P + P} \\= \frac{P}{5P}\\= \frac{1}{5}\\= 0.2[/tex]

Hence, Pink Starburst occupies 20% of the total bag space

Answer:

What are you supposed to do

Step-by-step explanation:

I can help

Answer:

A

Step-by-step explanation:

the only option is A

Answer: A

Step-by-step explanation:

Hope this helps :)

Answer:

24 boys

16 girls

total: 24+16= 40

A) 24:40

B) 3:2

Step-by-step explanation:

Answer:

y=2x-3

Step-by-step explanation:

I hope that helped

If she would be caught depending on where she is at it could be a fine that she has to pay

Answer:

y=(0,-3)

Step-by-step explanation:

To find the y-intercept, substitute in  0  for  x  and solve for  y

Answer:

y = -3 + x/3 sorry i got a mistake from the last one THIS IS THE RIGHT ONE!

Step-by-step explanation:

happy to help! and if u need any help with math, just call me :)

i would help you gladly!

Answer:

D. 1.23, (or D. 1.32?)

Step-by-step explanation:

from 1.2 to 2.3 the decimal points are:

1.2 - 1.3 - 1.4 - 1.5 - 1.6 - 1.7 - 1.8 - 1.9 - 2.0 - 2.1 - 2.2 - 2.3

A. cant work because it comes before 1.2

B. cant work because it also comes before 1.2

C. Cant work because all though its in the ones place, the decimal is too small

D. Can work because it comes after 1.2, and before 2.3 Same thing for the other letter D you put, because it is between the numbers 1.2 and 2.3

Answer:

19.10

Step-by-step explanation:

Answer:

30%

Step-by-step explanation:

First, we have to find what percent 63 is of 90:

63/90 = 7/10 = 70%

100 - 70 = 30

So 30% of the drama club are boys

Answer:

The easiest way to work out average times is to convert them all to seconds. 60 secs makes 1 min etc. Add all the seconds. Then divide the sum by the number of entries, hope this works.

Step-by-step explanation:

Answer:

-3.2

Step-by-step explanation:

Answer

A i think

Good luck have an amazing day

Answer:

PART 1

1) BC = AD = 16.4

2) CD = AB = 13.9

because JKMN is a parallelogram

=> KJ = ML

<=> y + 3 = 2y - 1

<=> y = 4

we also have: KL = JM

<=> 3x + 5 = 4x

<=> x= 5

3) with y = 4 => JK = 4 + 3 = 7

4) with x = 5 => KL = 3.5 + 5 = 20

PART 2

5) W = Y = 112⁰

6) Z = 180⁰ - 112⁰ = 68⁰

ABCD is a parallelogram

=> A + B = 180⁰

<=> 2y + 4y = 180

<=> y = 30

we also have:

C + D = 180⁰

<=> x + 5x - 180 = 180

=> x = 60

7) with y = 30 => A = 2.30 = 60⁰

8) with x = 60 => D = 5.60 - 180 = 120⁰

PART 3

9) EG = 2.HG = 2.14 = 28

10) DH = 1/2.DF = 20/ 2 = 10

QRSP is a parallelogram

=> 2y + 2 = 2x

x + 9 = 2y

=> x = 11

y = 10

11) with x = 11 => RT = 11 + 9 = 20

12) QS = 2.ST = 2.2.11 = 44

Answer:

81

Step-by-step explanation:

Round 63.6 to 64

Round 102.3 to 102

Multiply 64 × 102=6528

Square root 6528 to get 80.796

Round 80.796 to 81

The estimate square root value of 63.6 x 102.3 is 81

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

The value of A is

A = square root of 63.6 x 102.3

A = √63.6 x 102.3

Now , the value 63.6 can be approximated as 64

And the value 102.3 can be approximated as 102

So , the equation becomes

A = √ ( 64 x 102 )

A = 8 x √102

A = 8 x 10.099

A = 80.79

The value of A can be approximated as

A ≈ 81

Therefore , the value of A is  81

Hence , The estimate square root value of 63.6 x 102.3 is 81

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Answer:

x ≤ 2

Step-by-step explanation:

if it is a close circle you use ≤  ≥

if it is an open circle you use < >

if the line is going to the left it is less than

if the line is going to the right it is more than

Answer:

the second one, x ≤ 2

Step-by-step explanation:

since the graph is going to less than two and there is big shaded circle in 2 which means "less than or equals to 2 " is the answer

Answer:

The parallel line.............

Answer:

C. parallel lines

Step-by-step explanation:

parallel lines have no solutions

Answer:

43.6

Step-by-step explanation:

Answer:

Any number from 4.55 to 4.65......

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

because none of the lines go over each other or touch

Answer:

A. 3 dimes and 1 Penny

Beat your parents with a broom instead!

Answer:

The answer is -6, -4

Step-by-step explanation:

The coordinates of F' are (-6, -4).

Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

A transformation known as a translation involves moving each point in a figure uniformly and in the same direction.

Given:

Triangle DEF is reflected over the y-axis to form triangle D'E'F'.

now, we have the rule for reflection over y axis

P( x, y)-----> P' (-x, y)

Then the coordinates of D'E'F are

D(4, 1)---------> D'(-4, 1)

E(8, -3)---------> E'(-8, -3)

F (6, -4)----------> F'(-6, -4).

Learn more about Translation here:

https://brainly.com/question/17592356

#SPJ2

Answer:

176

Step-by-step explanation:

trust