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Solve this system of equations using either the elimination method or substitution method, explain what method u used and how u solved it
2x + y = 25

x + y = 20

Answer:

24.5 inches

Step-by-step explanation:

The ratio of the length of the toucan’s bill to the length of its body can be expressed as

(1: 3.5)

Then if the bill is 7 inches, then the Length of the body will be X

1: 3.5

7: X

If we cross multiply, we have

X= 7×3.5

X= 24.5

Hence, the Length of the body is 24.5 inches

Answer:

The answer is C. H0: μ = 2 versus Ha: μ ≠ 2, where μ = the true mean run time for all vacuums of this model

Step-by-step explanation:

EDGE 2021

Answer:

x= 10°

Step-by-step explanation:

BWN = BRN (W=R)

56+ (5x-16) +90 =180 {triangle BNW} [angles in a triangle add up to 180] ( properties of a kite)

5x = 180 - (56 + 90 - 16)

5x = 180 - 130

5x = 50

x =50/5

x = 10°

Answer:

Here is your answer and explanation have a good day

Step-by-step explanation:

The total number of different outfits Joseph can choose is A = 32 outcomes

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 represented as A

Now , the value of A is

Substituting the values in the equation , we get

The number of pairs of pants = 2 pairs

The number of pairs of t-shirts = 8 pairs

The number of pairs of shoes = 2 pairs

And , the total number of outcomes A = 2 x 8 x 2

On simplifying the equation , we get

The different outfits does Joseph can choose A = 32 outfits

Hence , the equation is A = 32 outfits

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Answer:

-2/3

Step-by-step explanation:

Answer: A polygon that does not have all sides equal and all angles equal.

Step-by-step explanation:A polygon that does not have all sides equal and all angles equal. (A polygon is "regular" only when all angles are equal and all sides are equal, otherwise it is irregular.)

Given:

The vertices of parallelogram PQRS are P(-5,5) Q(2,5) , R(4,-3) and S(-3,-3).

To find:

The intersection of the diagonals of parallelogram PQRS.

Solution:

We know that the diagonals of a parallelogram bisect each other.

In parallelogram PQRS, PR and QS are the diagonals of the parallelogram.

It means the intersection of PR and QS is the midpoint of PR and QS.

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Midpoint of diagonal PR is:

[tex]Midpoint=\left(\dfrac{(-5)+4}{2},\dfrac{5+(-3)}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-1}{2},\dfrac{2}{2}\right)[/tex]

[tex]Midpoint=\left(-0.5,1\right)[/tex]

Therefore, the coordinates of the intersection of the diagonals of parallelogram PQRS are (-0.5,1).

Answer:

84.823=84.82 in. cubed

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation: The explicit formula used: An = 1000(2)n - 1 is the correct formula. This is modeled as exponential growth with a common ratio of 2; which is correct based on the data given in the table.

The predicted population for year 50 is approximately [tex]1.1259[/tex] x [tex]10^18[/tex] wombats.

To predict the populations for years 6, 10, and 50 using the given explicit formula an = [tex]1000(2)^n[/tex] – 1, we can substitute the respective values of n and calculate the population.

For year 6 (n = 6):

a6 =  [tex]1000(2)^6[/tex] – 1

a6 = 1000(64) – 1

a6 = 64,000 – 1

a6 ≈ 63,999

The predicted population for year 6 is approximately 63,999 wombats.

For year 10 (n = 10):

a10 = [tex]1000(2)^ 10[/tex]

a10 = 1000(1,024) – 1

a10 = 1,024,000 – 1

a10 = 1,023,999

The predicted population for year 10 is 1,023,999 wombats.

For year 50 (n = 50):

a50 = [tex]1000(2)^50[/tex] – 1

a50 = 1000(1.1259 x 10¹⁵ ) – 1

a50 = 1.1259 x 10¹⁸ – 1

a50 ≈ 1.1259 x 10¹⁸

The predicted population for year 50 is approximately 1.1259 x 10^18 wombats.

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Answer: The range is 1731

Step-by-step explanation: lowest number 4572- 2841 highest

Answer:

a) The area of each square is 81 square centimeters.

b) The side length of the square is 9 centimeters.

c) The perimeter of the rectangle is 54 centimeters.

Step-by-step explanation:

Statement is incomplete. After some web research we conclude that the complete statement is the following:

A rectangle is formed by placing two identical squares side by side. The area of the rectangle is 162 square centimeters. Find:

a) The area of each square.

b) The side length of each square.

c) The perimeter of the rectangle.

a) The area of the each square is half the area of the rectangle. Hence, the area of each square is 81 square centimeters.

b) The area formula for squares ([tex]A[/tex]), in square centimeters, is:

[tex]A = l^{2}[/tex] (1)

Where [tex]l[/tex] is the side length of the square, in centimeters.

If we know that [tex]A = 81\,cm^{2}[/tex], then the side length of the square is:

[tex]l = \sqrt{A}[/tex]

[tex]l = \sqrt{81\,cm^{2}}[/tex]

[tex]l = 9\,cm[/tex]

The side length of the square is 9 centimeters.

c) The perimeter formula of the rectangle ([tex]p[/tex]), in centimeters, is presented below:

[tex]p = 6\cdot l[/tex]

[tex]p = 6\cdot (9\,cm)[/tex]

[tex]p = 54\,cm[/tex]

The perimeter of the rectangle is 54 centimeters.

Answer:

D

Step-by-step explanation:

(x+7)²+(y-12)²=9

____________

Answer:

[tex]\text{D. }(x+7)^2+(y-12)^2=9[/tex]

Step-by-step explanation:

The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Answer:

12%

Step-by-step explanation:

Interés simple = Principal × Tasa × Tiempo

Tasa = Interés simple / Principal × Tiempo

Principal = 1700 soles

Tiempo = 1 año y 3 meses

12 meses = 1 año

3 meses = 3/12 = 1/4 = 0.25

Tiempo = 1.25 años

Tasa = 255 /1700 × 1.25

= 0.12

= 0.12 × 100

= 12%

Answer:

10.8

Step-by-step explanation:

Just do 4 x 2.7

Answer:

B. Sometimes

Step-by-step explanation:

When there is an odd set of numbers the mean will ALWAYS be one of the data values.

When there is a even set of numbers the mean will sometimes be one of the data values.

This means only SOMETIMES it can go with date values!

(please give brain i don't normally ask but every time i answer somebody correct i don't get it and i cant lvl up cuz of it  ;-;)

~ LadyBrain

Answer:

R'=(-3,6)

Q'=(-3,-3)

S'=(7,6)

T'=(7,-3)

Answer:

see explanation

Step-by-step explanation:

A translation of 7 units right means adding 7 to the x- coordinate. The y- coordinate remains unchanged, then

Q (- 10, - 3 ) → Q' (- 10 + 7, - 3 ) → Q' (- 3, - 3 )

R (- 10, 6 ) → R' (- 10 + 7, 6 ) → R' (- 3, 6 )

S (0, 6 ) → S' (0 + 7, 6 ) → S' (7, 6 )

T (0, - 3 ) → T' (0 + 7, - 3 ) → T' (7, - 3 )

Answer:

Step-by-step explanation:

x+90+90+78=360(sum of 4 angles is always 360 degree)

x+258=360

x=360-258

x=102

Answer:

[tex] {x}^{o} = {102}^{o} [/tex]

Step-by-step explanation:

Hint:

sum of angles = 360°

Simplify:

[tex] {x}^{o} + {78}^{o} + {90}^{o} + {90}^{o} = {360}^{o} \\ {x }^{o} + 258^{o} = {360}^{o} \\ {x}^{o} = {360}^{o} - {258}^{o} \\ {x}^{o} = {102}^{o} [/tex]

Answer:

bank account cant give me 5 bank name

Answer:

x = 2/3

DF = 10

scale factor of ΔDEF to ΔXYX is 1:3

Step-by-step explanation:

DF corresponds to XZ and DE corresponds to XY so we can set up a proportion:

6x+6/30 = 8/24

simplify 8/24 to be 1/3

6x+6/30 = 1/3

cross-multiply:

3(6x+6) = 30

18x + 18 = 30

18x = 12

x = 12/18 or 2/3

Answer:

D

Step-by-step explanation:

180 degrees in a triangle

102+(x+6)+(x+15)=180

remove parenthesis and combine like terms

123+2x=180

subtract 123 from both sides

2x=57

divide

x=28.5

substitute x for its actual value

28.5+6

angle A= 34.5

28.5+15

angle B= 43.5

Answer:

9x-6=84(being vertically opposite angle )

9x=84+6

x=90/9

x=10

Step-by-step explanation:

note: vertically opposite angles are always equal.

Answer:

FG is 18 units

Step-by-step explanation:

if the trapezoid is isosceles then DE = GF so we can create this equation:

4x + 2 = 5x - 2

4x = 5x - 4

-x = -4

x = 4

FG = 4(4)+2 which is 18

Answer:

A triangle with a hypotenuse of 15 cm may have side lengths of 10.607 cm.

Step-by-step explanation:

15^2=225

225/2=112.5

√112.5=10.607

Answer:

The 5th day must be 90

Step-by-step explanation:

The first 4 days averaged out to 80

You can find their total just by multiplying by 4. That won't tell you the exact values, but it will tell you their total when you add the 4 of them together.

80*4 = 320

Now you need to add another day into the mix. Call it x

320 + x

Now there are 5 days, not 4, and the new total is 82.

(320 + x) / 5 = 82          Multiply both sides by 5

5*(320 + x) / 5 = 82 *5

320 + x = 410                 Subtract 320

-320        -320

x = 90

Answer:

take angle U as reference angle

using sine rule

sin U=opposite/hypotenuse

sinU=42/42

sin U=1

sin 90=1

therefore the value of U is 90 degree

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

This seating creates a triangle, in which means we should use pythagoras theorem to solve it. Because 15 and 8 are both legs we need to square 15 and 8 and add them. After that we need to take the square root of it.

Steps:

15^2 + 8^2 = 289

sqrt289 = 17

Answer:

hope this helps you look it once.