4x-y=6 and 3x+2y=21 Solve by elimination

Answer:

A

Step-by-step explanation: Scale Factor is defined as a ratio between the actual figure to that of the other figure.

And as it is clearly given in the question that 2 cm of length corresponds to 100 meters so the ratio comes out to be 1:50.

So the scale factor of the actual farm to the photo is A that is 1 to 50.

The scale factor of the actual farm to the photo is 1 to 50.

To determine the scale factor of the actual farm to the photo, we can use the given information that 2 centimeters in the photo corresponds to 100 meters in actual height. Since the scale factor relates the lengths in the photo to the actual heights, we need to find the ratio of the length in the photo to the corresponding actual height. In this case, the scale factor is 2 centimeters / 100 meters, which simplifies to 1 centimeter / 50 meters. Therefore, the scale factor of the actual farm to the photo is 1 to 50.

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Answer:

The point ( 0,-1) is a solution.

Step-by-step explanation:

y<= (x+1) (x+5)

y>= (x-1)^2 -6

See attached graph.

To prove algebraically, put the point (0,-1) into both equations and see if it is true for both of them.

y<= (x+1) (x+5)

-1 <= (0+1) (0+5)

-1<= 1*5

-1 <=5

True

y>= (x-1)^2 -6

-1 >= (-1)^2 -6

-1 >= 1-6

-1 >=-5

True

The point is a solution

Answer:

n ≤ 4

Step-by-step explanation:

-3n + 4 ≥ -8.

Subtract 4 from each side

-3n + 4-4   ≥ -8-4

-3n   ≥ -12

Divide by -3 on each side, remembering to flip the inequality

-3n/-3 ≤ -12/-3

n≤4

-3n + 4 ≥ -8         Subtract 4 on both sides

-3n + 4 - 4 ≥ - 8 - 4

-3n ≥ - 12        Divide -3 on both sides to get "n" by itself

n ≤ 4    (when you multiply or divide a negative number on both sides of the inequality, you flip the sign(< > ≤ ≥))

The 2nd option is your answer

Answer:

2 and 1/3

Step-by-step explanation:

1 hour = 5/5 so 2/3 + 5 = 8/3

= 2 and 2/3

Hope this helps :)

3 and 1/3

2/3 ÷ 1/5 = 10/3 = 3 and 1/3

1 hour =  1 × 3 and 1/3 = 3 and 1/3

Answer:

17 + 6c +d

Step-by-step explanation:

To simplify the expression, we need to combine like terms

23+6c+8d−7d−6

I like to put like terms next to each other

23-6+6c+8d−7d

17 + 6c +d

23 + 6c + 8d - 7d - 6

combine like terms

=  6c + (8d - 7d) +(23 - 6)

Answer:

The 1st and the 5th tables represent the same function

Step-by-step explanation:

* Lets explain how to solve the problem

- There are five tables of functions, two of them are equal

- To find the two equal function lets find their equations

- The form of the equation of a line whose endpoints are (x1 , y1) and

  (x2 , y2) is [tex]\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

* Lets make the equation of each table

# (x1 , y1) = (4 , 8) and (x2 , y2) = (6 , 7)

∵ x1 = 4 , x2 = 6 and y1 = 8 , y2 = 7

∴ [tex]\frac{y-8}{x-4}=\frac{7-8}{6-4}[/tex]

∴ [tex]\frac{y-8}{x-4}=\frac{-1}{2}[/tex]

- By using cross multiplication

∴ 2(y - 8) = -1(x - 4) ⇒ simplify

∴ 2y - 16 = -x + 4 ⇒ add x and 16 for two sides

∴ x + 2y = 20 ⇒ (1)

# (x1 , y1) = (4 , 5) and (x2 , y2) = (6 , 4)

∵ x1 = 4 , x2 = 6 and y1 = 5 , y2 = 4

∴ [tex]\frac{y-5}{x-4}=\frac{4-5}{6-4}[/tex]

∴ [tex]\frac{y-5}{x-4}=\frac{-1}{2}[/tex]

- By using cross multiplication

∴ 2(y - 5) = -1(x - 4) ⇒ simplify

∴ 2y - 10 = -x + 4 ⇒ add x and 10 for two sides

∴ x + 2y = 14 ⇒ (2)

# (x1 , y1) = (2 , 8) and (x2 , y2) = (8 , 5)

∵ x1 = 2 , x2 = 8 and y1 = 8 , y2 = 5

∴ [tex]\frac{y-8}{x-2}=\frac{5-8}{8-2}[/tex]

∴ [tex]\frac{y-8}{x-2}=\frac{-3}{6}=====\frac{y-8}{x-2}=\frac{-1}{2}[/tex]

- By using cross multiplication

∴ 2(y - 8) = -1(x - 2) ⇒ simplify

∴ 2y - 16 = -x + 2 ⇒ add x and 16 for two sides

∴ x + 2y = 18 ⇒ (3)

# (x1 , y1) = (2 , 10) and (x2 , y2) = (6 , 14)

∵ x1 = 2 , x2 = 6 and y1 = 10 , y2 = 14

∴ [tex]\frac{y-10}{x-2}=\frac{14-10}{6-2}[/tex]

∴ [tex]\frac{y-10}{x-2}=\frac{4}{4}======\frac{y-10}{x-2}=1[/tex]

- By using cross multiplication

∴ (y - 10) = (x - 2)

∴ y - 10 = x - 2 ⇒ add 2 and subtract y in the two sides

∴ -8 = x - y ⇒ switch the two sides

∴ x - y = -8 ⇒ (4)

# (x1 , y1) = (2 , 9) and (x2 , y2) = (8 , 6)

∵ x1 = 2 , x2 = 8 and y1 = 9 , y2 = 6

∴ [tex]\frac{y-9}{x-2}=\frac{6-9}{8-2}[/tex]

∴ [tex]\frac{y-9}{x-2}=\frac{-3}{6}======\frac{y-9}{x-2}=\frac{-1}{2}[/tex]

- By using cross multiplication

∴ 2(y - 9) = -1(x - 2) ⇒ simplify

∴ 2y - 18 = -x + 2 ⇒ add x and 18 for two sides

∴ x + 2y = 20 ⇒ (5)

- Equations (1) and (5) are the same

∴ The 1st and the 5th tables represent the same function

Answer:The 1st and the 5th tables represent the same function!!!!!!!

Answer:

Four

Step-by-step explanatio

Materials + installation = $192.49

-Materials                       =   132.49

Installation                    = $ 60.00

Installation cost = 1 skateboard/$15

No. of skateboards = 60.00 × 1/15

No. of skateboards = 4

Four skateboards will be repaired.

The symbol '|' denotes absolute value, which measures the distance of a number from zero. Therefore, |-1.37| equals 1.37 and |1.21| equals 1.21. Since 1.37 is greater than 1.21, the absolute value of -1.37 is greater than 1.21.

In mathematics, the symbol '|' denotes absolute value. The absolute value of a number measures its distance from zero, ignoring whether it is positive or negative. Hence, |-1.37| and |1.21| mean how far away -1.37 and 1.21 are from zero on the number line, respectively.

|-1.37| equals 1.37 and |1.21| equals 1.21. So, 1.37 is greater than 1.21. This means that A) |-1.37| > |1.21| is the correct option. In other words, the absolute value of -1.37 is greater than the absolute value of 1.21.

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Answer:

x = 18

Step-by-step explanation:

multiplying the denominator of 7 by 6 gives 42, the denominator of the fraction on the right side.

Since the fractions are equal we must then multiply the numerator of the fraction on the left by 6

3 × 6 = 18 ⇒ x = 18

a. 14, 18, 22, 26.... It is +4

b. 2,430, 7,290, 21,870..... It is x3

c. So it is going -2, -4, -6, -8 so the next one would be -10 which is -13 then -12 which is -25 and so on.

Hope this helps!

[tex]\bf \stackrel{\textit{sum of 22 and \underline{g}ail's height}}{22+g}~~\stackrel{is}{=}~~74\implies 22+g=74[/tex]

Answer:

x = 7.25

Step-by-step explanation:

First you must try to get the x by itself with the 4, so, you have to subtract 5 from both sides so that the five is no longer on the side of the variable. Once you do this the equation becomes 4x = 29. Then you have to get x by itself so you then have to divide the 4 on both sides and the answer it then x = 7.25

Answer:

1:2

Step-by-step explanation:

Because 10/20 = 1/2

Answer: 10,20

Step-by-step explanation:

Answer: The first box would have the value 504, while the second box has the value 84

==========================================================

Work Shown:

nPr = (n!)/(n-r)!

9P3 = (9!)/(9-3)!

9P3 = (9*8*7*6!)/(6!)

9P3 = 9*8*7

9P3 = 504

--------

nCr = (nPr)/(r!)

9C3 = (9P3)/(3!)

9C3 = (504)/(3*2*1)

9C3 = 504/6

9C3 = 84

note: you can also use the formula nCr = (n!)/(r!*(n-r)!) to compute the combination value, which as you can probably notice, it has the nPr formula buried in it. This is what connects the two concepts of nPr and nCr. The exclamation mark means factorial.

In the trinagle 30 - 60 - 90 the sides are in proportion 1 : √3 : 2.

Look at the picture.

We have:

[tex]a=2\sqrt5[/tex]

Therefore

[tex]A=2a\to A=(2)(2\sqrt5)=4\sqrt5\\\\B=a\sqrt3\to B=(2\sqrt5)(\sqrt3)=2\sqrt{(5)(3)}=2\sqrt{15}[/tex]

x is the temperature and y is the number of swimmers. If there are 80 swimmers, then y = 80 instead of x = 80

This is how Corey should have solved

y = 1.505*x - 88.21

80 = 1.505*x - 88.21 <--- replace y with 80

1.505*x - 88.21 = 80

1.505*x = 80 + 88.21 <--- add 88.21 to both sides

1.505*x = 168.21

x = 168.21/1.505 <--- divide both sides by 1.505

x = 111.767

x = 111.8

If there are 80 swimmers at the pool, then the possible outside temperature is roughly 111.8 degrees F. This temperature seems awfully large, so it's possible that Corey's regression equation has limited scope; in other words, it isn't too useful if x is outside a given interval.

Answer:

If you don't want to read all of that the answer is:

A- He substituted 80 for x instead of y.

Step-by-step explanation:

I just did it on Edge 2020 and got it right...

the second time

Answer:

Step-by-step explanation: Your answer will be 79.9. To get the answer you multiply 56 and 0.2 to get 11.2.Then you add 11.2+68.70 which gives you 79.9. Hope this help ya!☺

Answer:

The variable having largest coefficient is solved first.

Step-by-step explanation:

The variable having greater coefficient is solved first because we can substitute the value of smaller coefficient variable easily as compared to the greater one.

Because in substitution method we first substitute the value of coefficient which has smallest coefficient and as a result the coefficient with greater coefficient is solved.

Final answer:

When solving a linear system by substitution, choose the variable that is already isolated in one of the equations. Substitute the value of that variable into the other equation.

Explanation:

When solving a linear system by substitution, it is important to decide which variable to solve for first. One strategy is to choose the variable that is already isolated in one of the equations. This makes it easier to substitute the value of that variable into the other equation.

For example, consider the system:

Equation 1: x + 2y = 5

Equation 2: 3x - y = 2

In this case, Equation 1 is already isolated for x, so it would be a good choice to solve for x first. By substituting the expression for x from Equation 1 into Equation 2, you can solve for the remaining variable y. Once you have the value of y, you can substitute it back into Equation 1 to find the value of x.

Answer: B

Step-by-step explanation:

1) First find the weight of the elephant: 1.1 * 10^4 = 11,000

2) Then find the weight of the giraffe: 2.1 * 10^3 = 2,100

3) Then subtract the weight of the giraffe from the weight of the elephant

11,000 - 2,100 = 8,900

4) And there is your answer 8.9 * 10^3 = 8,900

It is found that elephant weighs 9,000 more lb than the giraffe.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.

Given that an elephant weighs 1.1  x 10⁴ and a giraffe weighs 2.1 x 10³. The weight will be estimated as below;

1.1  x 10⁴ = 11000 lb

2.1 x 10³ = 2100 lb

The difference in the weight of an elephant and the Giraffe ;

D = 11000 -2100= 9000 lb

Hence, an elephant weighs 9,000 more lb than the giraffe.

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Answer:

6,561 = 3h

Step-by-step explanation:

The equation B) [tex]\( 6,561 = 3^h \)[/tex] determines the number of hours, c[tex]\( h \)[/tex], for the algae population to reach 6,561 blooms.

1. Identify the exponential growth formula:

[tex]\[ N = N_0 \cdot r^h \][/tex]

2. Define the given variables:

[tex]- \( N \):[/tex] Final number of algae blooms = 6,561

[tex]- \( N_0 \):[/tex] Initial number of algae blooms = 1

[tex]- \( r \):[/tex] Growth rate = 3 (since the population triples every hour)

[tex]- \( h \)[/tex]: Number of hours (this is what we need to find)

3. Substitute the given values into the formula:

[tex]\[ 6,561 = 1 \cdot 3^h \][/tex]

4. Simplify the equation:

[tex]\[ 6,561 = 3^h \][/tex]

5. Result:

  The equation B) [tex]\( 6,561 = 3^h \)[/tex] can be used to determine the number of hours, [tex]\( h \)[/tex], it will take for the algae population to reach 6,561 blooms.

Complete Question:

Answer:

It's simple Add the fractions, find the LCD and then combine

Exact form: 3/2

Decimal form: 1.5 Hope this helps have a nice day :)

Step-by-step explanation:

Answer:

4/6 + 5/6 = 9/6

Step-by-step explanation:

First find the least common denominator which is 6. Then add the fractions. Hope this helps.

Question

20% of miran’s allowance is 5$ how much is his total allowance?

Answer:

25 $

Step-by-step explanation:

you can solve with an equation

20 : 5 = 100 : x

x = 5 * 100 : 20

x = 25

or you can solve with an expression

5 : 20 * 100 =

25

-------------------------------

check

25 * 20% = 5

the answer is good

Answer:

I believe it would be 7.8

Step-by-step explanation:

Answer:

7.78 (apex) :)

Step-by-step explanation:

The area of the section she wants to paint is 48 square feet.

In Euclidean Geometry, the area of a rectangle can be calculated by using this formula;

Area of rectangle  = length × width

Area of rectangle 1 = 4 × 9

Area of rectangle 1 = 36 square feet.

For the area of rectangle 2, we have;

Area of rectangle 2 = 4 × 3

Area of rectangle 2 = 12 square feet.

Now, we can find the area of the figure;

Area of figure = 36 + 12

Area of figure = 48 square feet.

Complete Question:

Mrs. Rios puts tape around the section of wall shown to indicate the area of the mural she will paint. What is the area of the section she wants to paint?

Answer:

d

Step-by-step explanation:

There are 4 cards in a standard deck. So 52-4 is 48. 48 cards are not aces then.  So the ratio is 48 to 52. Which simplifies to 12 to 13. Otherwise known as 12/13

Answer:

11.

Step-by-step explanation:

I got the answer of 11, as I:

-First, I worked out how many rides Margaret would be able to go on, so I did $35 -/- $3, which was a decimal, but the most amount of times would be 11 rides that she could go on, therefore, that's the amount of rides she would take, and have $2 left over.

Hope this helps!

--Emilie Xx

Answer:

3r = 35

Step-by-step explanation:

Margaret goes to the country fair with $35.00

Each rides cost at the fair = $3.00

Let she can take number of rides = r

The cost of rides = 3r

She has $35 so the equation will be

3r = 35

r =  [tex]\frac{35}{3}[/tex]

r =  [tex]11\frac{2}{3}[/tex]

Therefore she can take 11 rides. She spent on 11 rides 11 × 3 = $33.00

So she has left $2.00 with her.

Answer:

2

Step-by-step explanation:

PEMDAS is the order of operations.

There are no parenthesis, so we can ignore that.

Same with exponents, there arent any in this equation.

MD means you have to multiply or divide before you add or subtract. Wether you multiply or divide first depends on which comes first left to right. So, we divide 4 by 2, which is 2

Our present equation is 6+2-3x2

Now, we multiply 3 by 2.

Our present equation is now 6+2-6

Now, we simply add and subtract, depending on which comes first left to right. Add 6 and 2.

8-6

Now subtract.

Our answer is 2.

Hope this helps! (Please give brainliest I just need one more!)

Answer:

Greg is 67 years old.

Step-by-step explanation:

John = 2 * B

G = 7 + B

J - 4 + B - 4 + G - 4 = 55

J + B + G = 67

2B + B + 7 + B = 67

4B = 60

B = 15

J = 30

G = 22

30 + 15 + 22 = 67

67 = 67

- I.A -

The age of Greg is 31 years.

solving this we will get the valve of Y if x is given.

Calculation:-

⇒let the actual age of Bill is X years.

      four years ago the age Bill = X-4

⇒   then, the age of John is twice of Bill = 2X

           four years ago age John = 2X-4

⇒Greg is 7 years older than Bill

       Age of Greg =  2X+7

 four years ago age Gerg = 2X+7-4

Four years ago Sum of their ages = 55

                  ⇒ ( X-4)+(2X-4)+(2X+7-4)=55

                ⇒X-4+2x-4+2x+7-4=55

               ⇒5X=60

              ⇒X=12

∴age of Gerg is 2X+7

                      ⇒2(12)+7

                      ⇒31 years

age of bill=12 years

age of John 24 years.

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