What is the solution to the system of equations?
{x=2y+3
{4x-5y=9

Answer:

True.. :) Have a nice day.

Step-by-step explanation:

TRUE , the two system of equations are equivalent

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 ,

We have two sets of equations

Let the first set of equation be A

Let the second set of equation be B

Equation set A :

6d + 4.5e = 16.5    be equation (1)

5d + 0.5e = 4   be equation (2)

Equation set B :

30d + 22.5e = 82.5   be equation (3)

5d + 0.5e = 4   be equation (4)

Now , we can see that Equation (3) is a multiple of Equation (1)

Multiply equation (1) by 5 , we get

5 ( 6d + 4.5e = 16.5 )

30d + 22.5e = 82.5   be equation (5)

Therefore , equation (5) = equation (3)

So , equation (1) = equation (3)

And , equation (2) = equation (4)

Therefore , Equation set A is equivalent to Equation set B

Hence , the two system of equations are equivalent

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Answer:

x=8

Step-by-step explanation:

5x + 12 = 52

5x = 52 - 12

5x = 40

x = 8

hey buddy!!

here is your answer!

Answer:

8

Step-by-step explanation:

5x + 12 = 52

5x = 52-12

5x = 40

x = 40/5

x = 8

hope you understood!

Answer:

8

Step-by-step explanation:

Answer:

53 1/3 yards

Step-by-step explanation:

When you solve for area you multiply width times length so here we would divide.

6400 ÷ 120 = 53 1/3 yards

Hope that helps and have a great day!

The solution is: in the expression (5w+3) the value of w is: w = -3/5.

Here, we have,

given that,

the expression is: (5w+3)

now, we have to find the value of w

so, we get,

we can find the value of w by making it equal to 0:

5w+3 = 0

<- subtract 3 from both sides

5w = -3  

<- divide 5 from both sides

5w/5 = -3/5

so, we have,

w = -3/5 is the final answer.

Hence, The solution is: in the expression (5w+3) the value of w is: w = -3/5.

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Answer:

no it is not a function

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

(0,2) and (2,2) have the same y value.

Answer: I believe yes

Step-by-step explanation:

Im sorry if this isn’t right but I believe it is

Answer:

$0.68 per pound

Step-by-step explanation:

The price of sugar is $0.68 per pound.

A ratio indicates the number of times one number contains another.

Given that, the person paid $8.16 for 12 pounds of sugar.

Therefore, mathematically it can be written as:

12 pounds of sugar = $8.16

1 pound of sugar = $(8.16/12)

1 pound of sugar = $0.68

Hence, the price of sugar is $0.68 per pound.

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Answer:

36 hours (1 1/2 days, 351$ )

Step-by-step explanation:

create a linear system and solve.

8.25x + 54 = 9.75x

_______________

-8.25x -8.25x

_______________

54 = 1.5x

_______________

1.5 x = 54

_______________

÷ 1.5. ÷1.5

_______________

x = 36.

if you want to know how much money they will have at this time, just substitute the x value that you solved for back into the equation

x = 36 -> 8.25(x) + 54 = 9.75(x)

8.25(36) + 54 = 9.75(36)

297 + 54 = 351

351 = 351

________________________________

David's budget >= 54$

Fatima's budget >= 0$

The required inequality is 8.25x + 54 = 9.75x

It will take 36 hours for David to have as much as Fatima.

David :

Initial saving = 54

Pay per hour = $8.25

Fatima :

Pay per hour = $9.75

Let number of hours worked = x

David's total = $8.25x + 54

Fatima's total = 9.75x

In other to have the same amount :

8.25x + 54 = 9.75x

Collect like terms :

8.25x - 9.75x = - 54

-1.5x = - 54

x = - 54 / - 1.5

x = 36

Hence, it will take 36 hours for David to have as much as Fatima.

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Answer:

2.5*10^4

I hope this helps

Answer:

2.5 x 10^4

this is a filler. I hope this helps though :)))))

Answer:

Step-by-step explanation:

B ruh????????

Answer:

Solve  :    -x+26 = 0 

 Subtract  26  from both sides of the equation : 

                      -x = -26 

Multiply both sides of the equation by (-1) :  x = 26 

[tex] \frac{2}{5} = \frac{x}{65} [/tex]

[tex]2 \times 65 = 5 \times x[/tex]

[tex]130 = 5x[/tex]

[tex]x = \frac{130}{5} [/tex]

[tex] \color{hotpink}x = 26[/tex]

Therefore , the correct option is :-

[tex]\color{plum}D) \: x = 26[/tex]

Answer:

D

Step-by-step explanation:

So first what you want to do is find how many acres you're working with. Since you know that one acre is 43,500 square feet, you can find the number of acres you're working with by dividing 80,000 theoretical square feet by your given conversion:

80,000/43,500 is 1.83908045977

After this what you want to do is divide the theoretical acres by the conversion that was given to you in the problem:

1.83908045977/.075 is 2.45210727969

Now that you have this number, you would multiply the number of corn plants that you have in order to get the theoretical number of plants that you could plant on an area of that theoretical size of 80,000 square feet:

2.45210727969  times 26,100 is 64,000 even.

The number of corn plants that could be planted on 80,000 square feet is : 64000.

An acre is a unit for expressing the area of big  shapes and objects like fields, farm lands.

Analysis:

If 1 acre is equivalent to 43500square feet, then 0.75 acre would be

0.75 x 43500 = 32625 square feet.

If 325625 square feet produce 26,100 corn plants , then 80,000 square feet would produce : [tex]\frac{80000 x 26100}{32625}[/tex]  = 64000 corn plants.

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Answer:

Step-by-step explanation:

this is called a ratio and proportion or similar triangles

  21    =     35  

 31.5           x

do cross multiply:

21 x = 31.5 (35)

x = 1102.5 / 21

x = 52.5 cm

Answer:

The meaning theatrical releases means the date a new movie is entered into the theater distribution system for public viewing. Alternate formats of the movie, such as DVDs, Blu-ray discs and video-on-demand, are scheduled for distribution a set number of weeks or months after the theatrical release. See video-on-demand. So if that is what it means then the movie i think that has 7 theatrical releases is the new movie "Mulan" because the people started making the movie on March 9th, 2020 and released the movie on September 4th, 2020. If i am incorrect i apologize

Hope this helps, have a great day and stay safe! :))))))))))))))

Answer:

The 3 in 743,857 is 27,000 less than the 3 in 735,957.

Step-by-step explanation:

in 743,857 the 3 is 3,000

in 735,957 the 3 is 30,000

30,000 - 3,000 = 27,000

Answer:

(a)  The dependent variable = The total number of new appetizer recipe Tara knows = y

The dependent variable = The total number of new appetizer recipe Tara learns = A

The independent variable = Number of weeks she is in school = x

(b) A = 3 × x

(c) 58 recipes

(d) The total number of recipes Tara knows after 18 weeks = The new recipes she learns during the 18 weeks of school + The number of recipes Tara already knew

Step-by-step explanation:

The given parameters are;

The number of appetizer recipes Tara already knew = 4

The number of new appetizer recipe she will learn each week of school = 3

(a) The dependent variable = The total number of new appetizer recipe Tara knows = y

The dependent variable = The total number of new appetizer recipe Tara learns = A

The independent variable = Number of weeks she is in school = x

The added constant term = The number of appetizer recipes Tara already knew = 4

(b) The equation for the number of appetizer, A, she will learn during school is give as follows;

The number of new appetizer recipe Tara learns in school = 3 × Number of weeks she is in school +

A = 3 × x

(c) The total number of recipes, y, that Tara will knows after 18 weeks in school is therefore;

y = A(18) + The number of appetizer recipes Tara already knew

A(18) = 3 × 18 = 54

y = 54 + 4 = 58 recipes

(d) The total number of recipes Tara knows after 18 weeks is the sum of the new recipes she learns during the 18 weeks of school and the number of recipes Tara already knew.

Answer:21.8

Step-by-step explanation:2400 divided by 110 equals 21.8

Answer:

              [tex]\boxed{\bold{\,f(x)=2(x-1)^2-9\,}}[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-4x-7\\\\f(x)=2(x^2-2x-3.5)\\\\f(x)=2(\underline{x^2-2x+1^2}-1^2-3.5)\\\\f(x)=2\big((x-1)^2-4.5\big)\\\\f(x)=2(x-1)^2-9[/tex]

Vertex:  (1, -9)

Answer: 1, 3, 6

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

The total number of marbles is 12.

Part A.

Prob(Red marble) = 5/12.

Part B.

Prob(pick 3 red marbles without replacement) = 5/12 * 4/11 * 3/10 = 1/22.

Part C.

The probability of the first being red is 5/12 because there are 5 red out of a total of 12 marbles. After that there are only 4 marbles and the total is 11 ( 1 marble less). Finally on the 3rd pick there are 3 red and a total of 10. WE then multiply these 3 probabilities.

Answer:

-162

Step-by-step explanation:

that the answer

Answer:

-162

Step-by-step explanation:

Multiply: −4 + [12 × (−8)] – 62

Remover parentheses: -4 + (-96) – 62

Calculate sum: -4 – 96 – 62

Answer:13

Step-by-step explanation:

Answer:

There are 35 chickens

Step-by-step explanation:

goats : chickens: total

3               7           3+7 = 10

There are 50 animals

50/10 = 5

Multiply each number by 5

goats : chickens: total

3*5          7 *5         10*5

15              35             50

There are 35 chickens

Answer:

15 goats and 35 chickens

Step-by-step explanation:

goats to chickens - 3:7

3:7

3+7=10

50/10=5

3*5:7*5

15:35

Answer:

90 - 33 = 57 57is the answer

Step-by-step explanation:

Answer:

p=57 degrees

Step-by-step explanation:

P and 33 are complementary we know this because of the right angle so set up this equation:

90=angle + angle

sub in the numbers

90=33+P

Substract both sides by 33 to get p alone.

p=57

Step-by-step explanation:

2x =15+5

2x =20

Divide by 2

X=10

Answer:

D, E

Step-by-step explanation:

2x-5=15,x=10

2x=20, x=5

2(x-5)=15, x=25/2

2x-20=0, X=10

4x-10=30, X=10

15=5-2x, X= -5

Answer:hours

Step-by-step explanation: