Mathematics High School

True or False: The following two systems of equations are equivalent:
6d + 4.5e = 16.5
5d + 0.5e = 4
and
30d + 22.5e = 82.5
5d + 0.5e = 4
O True
O False

Answers

Answer 1

Answer:

True.. :) Have a nice day.

Step-by-step explanation:

Answer 2

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

To learn more about equations click :

https://brainly.com/question/10413253

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Related Questions

2 COLLUM PROOFS 1 question

Answers

Answer:

1. <AOB and <XOZ are vert. <'s           1. Given

   m<AOB = 80     m<XOZ = 6x+5

2. m<AOB = m<XOZ                            2. Vertical <'s are congruent

3. 80 = 6x+5                                       3. Substitution

4. 75 = 6x                                              4. Subtraction Property of equality

5. 12.5 = x                                              5. Division Property of equality    

Step-by-step explanation:

X + (-9) = 32
What is the answer

Answers

Answer:

the answer to x+(-9)=32 is x=41

X=41 will be the answer for this

jas is 8 years younger than Sandeep 10 years ago their ages total 20 how old are they now​

Answers

Answer: Jas is 9, and Sandeep is 11.

Step-by-step explanation: 9 + 11 = 20

Question 1 please. Please help

Answers

Answer:

74.22

Step-by-step explanation:

52.39+21.83=74.22

PLEASE HELP! WILL MARK BRAINLIEST!

Answers

Answer:

-25

Step-by-step explanation:

(-6) (-5) - (-5)

    -30 -(-5)=-25

what is the change between -15 and 11

Answers

the change is plus 4

A rectangular box is 8 inches long, 10 inches wide, and 6 inches tall.

What is the approximate length of its longest diagonal?

Answers

Answer:

480

Step-by-step explanation:

If you take length times width times height so it'll be 8 times 10 = 80 times 6 =480

(3.8•10^7)-(7.7•10^7)

Answers

Answer:

=-39000000

Step-by-step explanation:

Hope this helps (:

look at image and answer plz

Answers

Answer:

y=64 :)

Step-by-step explanation:

40/ [tex]\frac{5}{8\\}[/tex]= 64

pls give brainliest if correcto


Given: Y is the midpoint of XZ
Prove: XY = 1/2 XZ
Statements
Reasons

Answers

Answer:

The proposition If Y is the midpoint of XZ, then XY = 1/2 XZ is true.

Step-by-step explanation:

We proceed to present the demonstration of the following proposition:

If Y is the midpoint of XZ, then XY = 1/2 XZ.

1) Y is the midpoint of XZ. Given.

2) [tex]XY + YZ = XZ[/tex] Definition of line segment.

3) [tex]XY = YZ[/tex] By 1)

4) [tex]2\cdot XY = XZ[/tex] 3) in 2)

5) [tex]XY = \frac{1}{2}\cdot XZ[/tex] Algebra/Result

Therefore, the proposition If Y is the midpoint of XZ, then XY = 1/2 XZ is true.

Write and solve the equation, and then check your answer.

The sum of two and two tenths and a number is five.

Which statements are correct? Check all that apply.

A.The word “sum” means the result of adding two numbers.
B.The correct equation is n – 2.2 = 5.
C.The correct equation is n + 2.2 = 5.
D. The solution of the equation is n = 7.2.
E.The solution of the equation is n = 2.8.
F.Check the solution by substituting the value for n and simplifying.

Answers

Answer:

A, C, E, F

Step-by-step explanation:

I took the assignment

Answer:

A,C,E,F

Step-by-step explanation:

I KNOW IT IS

HELP ASAP!!!
Select all that apply.

Which of the following statements are true of the greatest common factor of two numbers?

O Each number must share the factor.
O The number must be large.
O The greatest common factor could be 1.
O The number must be the largest factor both numbers share.

Answers

Answer:

the second answer is wrong, and the rest is all correct

Step-by-step explanation:

The GCF has to be the largest factor they share, but it's not necessary for it to be large.

Answer:

each number must share the factor.

the greatest common factor could be one.

the number must be the largest factor both share.

Step-by-step explanation:

(6x+ 3)(6x^2− 8x + 1)

can anyone please show the work on how to get the answer? Thank you :,)

Answers

Answer:

Step-by-step explanation:

36x^3 - 48x^2 + 6x + 18x^2 - 24x + 3

36x^3 - 30x^2 - 18x + 3

8z - 22 = 3(3z + 11) - z​

Answers

Answer:

There are no solutions.

Step-by-step explanation:

8z−22=3(3z+11)−z

Step 1: Simplify both sides of the equation.

8z−22=3(3z+11)−z

8z+−22=(3)(3z)+(3)(11)+−z(Distribute)

8z+−22=9z+33+−z

8z−22=(9z+−z)+(33)(Combine Like Terms)

8z−22=8z+33

8z−22=8z+33

Step 2: Subtract 8z from both sides.

8z−22−8z=8z+33−8z

−22=33

Step 3: Add 22 to both sides.

−22+22=33+22

0=55

help , i need this assignment don asap

Answers

Answer:

I think it's 17/28 but I don't knkw

What grade are you in ? I think ik what this is

in the isosceles trapezoid below x = ?

Answers

5x-20=2x+37

3x-20=37

3x=57

x=19

A container has 400 liters of water, and a second container has 800 liters of water. The first container begins filling up at a rate of 4 liters per minute at the same time the second starts draining at a rate of 6 liters per minute. How many minutes will pass until the containers have the same amount of water?​

Answers

Answer:

1000

Step-by-step explanation:

2. The sum of the roots of a quadratic equation is -5. If
one of the roots isz, how would you determine the
equation? Write the equation.

Answers

Answer:

plz leave answer choices plz and thank you i tried but im very sorry i wrong question

Step-by-step explanation:

Your search - Mathematics 15 seconds ago +15 pts 2. The sum of the roots of a quadratic equation is -5. If ... - did not match any documents.

Suggestions:

Make sure all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Write two integers with different signs that have a sum of -25.
Write two integers with the same sign that have a sum of -25.

Answers

Answer:

1.

-25+0

-30+5

2.

-15-10

-20-5

Dustin surveyed 50 students at his school about their music preferences. The results are shown in the table. There are a total of 722 students at Justin‘s school. Based on the survey results, which is the best estimate of the number of students who prefer hip-hop music?

Answers

Answer:240 thank me later -Amanda wlms

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

4) Choose the correct inequality for this situation.
The Walter family budgets a maximum amount of $124 for a camping trip.
Mr. Walter already spent $40. How many people x can go canoeing if the
cost is $21 per person?
A- 21x + 40 >_ 124
B- 21x + 40 <_124
C- 40x + 21 < _124
D- 21x + 40 > 124

Answers

Answer:

B. 21x + 40 ≤ 124

Step-by-step Explanation:

Maximum amount budgeted = $124 (this means they can't spend more than this)

x = number of people

Cost per head = $21

Given that Mr Walter already spent $40, which is part of the money budgeted, the number of people that can go canoeing cam be expressed with the following inequality:

21x + 40 ≤ 124

(note: the amount total to be spent will either be equal to or greater than $124, because it's the maximum amount budgeted for spending).

solve question 2x + 13 =

Answers

Answer:

x= -6.5

Step-by-step explanation:

2x+13=0

2x=-13

x=-6.5

The answer above is correct my dude

The blue figure is translated _____ units ___ and ____ units ____ from the red figure.

Answers

The blue figure is translated 5 units left and 2 units down from the red figure.

Write the equation of a line in slope-intercept form with a slope of -1 and a y-
intercept of -1.
y = -x - 5
y = -5x - 1
y = -x-1
y= -5x -5

Answers

Answer:

y = -x - 1

Step-by-step explanation:

Slope intercept form is y = mx + b, where m is the slope and b is the y intercept.

Plug in the slope and y intercept into the equation

y = mx + b

y = -x - 1 is the equation in slope intercept form

Answer:

y = -x - 1

Step-by-step explanation:

Slope intercept form is y = mx + b, where m is the slope and b is the y intercept.

Plug in the slope and y intercept into the equation

y = mx + b

y = -x - 1 is the equation in slope intercept form

Last year at a certain high school, there were 50 boys on the honor roll and 100 girls on the honor roll. This year, the number of boys on the honor roll decreased by 8% and the number of girls on the honor roll decreased by 15%. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary). pls help

Answers

Answer:

46 for boys and 85 for girls

Step-by-step explanation:

mark bought 4 pounds of apples for $7.56 what was the cost per pound?

Answers

Answer:

$1.89 per pound

Step-by-step explanation:

$7.56÷4

cost of 4 pounds of apples=$7.56
To find:cost of 1 pound of apples
Therefore, cost of one pound of apple = 7.56 / 4
=$1.89

Find the average rate of change from a table.

Answers

Answer:

C. 1/2 (1 foot every 2 seconds)

The average rate of change is 1/2 foot.

You move down 3 units. You end at (5,-2). Where did you start?

Answers

I think it’s (5,-5)

what is 9/12 in simpleist form

Answers

The answer to this question is 3/4 or .75

Answer:

It's 3/4

Step-by-step explanation:

The Greatest Common Factor is 3.

divide that by 9 and 12, 9 divided by 3 is 3

12 divided by 3 is 4.

A cone has a radius and height of 15 inches. What is the volume of the cone?

Answers

Answer:

3532.5

Step-by-step explanation:

Here’s the equation you would followe

V=1/3h(3.14)r^2

H=height

R=radius

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