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

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Related Questions

what is a non translation and a translation​

Answers

Answer:

ye

Step-by-step explanation:

yeyeyyeyyeyeyye

Answer:

In Translation Studies the term ‘non-translation’ is used in a number of different manners, for instance in reference to (a) original texts (versus translated texts), (b) fragments of source text preserved in the original language in the target text, (c) a deliberate refusal to translate a given author or work and (d) the lack or scarcity of translations.

Step-by-step explanation:

Solve for x
4.
7
1
5X-20
X +
4X= -90
X=
(Type an integer or a simplified fraction.) PLEASE HELP!!

Answers

Answer: 100

Step-by-step explanation:

Either manually separate X

Or use ur calculator

Does the following table show a proportional relationship between the variables ggg and hhh?
ggg 333 666 999
hhh 999 363636 818181

Answers

Answer:

the answer is no

Step-by-step explanation:

khan said so

Answer:

No

Step-by-step explanation:

All three ratios aren't the same number when simplified

Pls help me I don't get it at all?

Answers

Answer:

the answer is b

Step-by-step explanation:

use symbolab


Select all that apply. The number -2 is a...
A: Natural Number
B Whole Number
C Integer
D Rational Number
E Irrational Number
F Real number

Answers

Answer:

it is an integer

Step-by-step explanation:

bc it's -3

9 hundreds equals how many tens

Answers

Answer:

90 tens

Step-by-step explanation:

900 = 10x

Variable x refers to how many 10's are needed to equal 900

To solve for this, divide both sides of the equation by 10

900 ÷ 10 = 10x ÷ 10

90 = 1x

90 = x

It will take 90 tens to equal 900

9 hundreds are equal to 90 tens

A deluxe bakery sells a cookie for $2.38, a brownie for $3.07 and a cake for $14.87. On Wednesday they sold 13 cookies, 4 brownies and 4 cakes. The cost in ingredients for each cookie is $1.7, for each brownie is $1.91 and for each cake is $5.83. How much profit did they make on Wednesday?

Answers

Answer:

$ 49.64

Step-by-step explanation:

Selling price of cookie on Wednesday = 13 × 2.38 = $30.94

Selling price for brownie on Wednesday = 4 × 3.07 = $ 12.28

Selling price for cakes on Wednesday = 4 × 14.87 = $ 59.48

Cost price for cookie = 13 × 1.7 = $ 22.1

Cost price for brownie = 4 × 1.91 = $ 7.64

Cost price for cakes = 4 × 5.83 =$ 23.32

Total profit for Wednesday= Total selling price - total cost price

That is;

(30.94 + 12.28 + 59.48) - (22.1 + 7.64 +23.32) = $ 49.64

What is the slope of y=-x perpendicular to the equation

Answers

[tex] \frac{1}{2} x[/tex]

how many solutions does a independent system of equations have?

Answers

Answer:

one solution

An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.

Step-by-step explanation:

How many yards is 38.7 cm? Write your answer in scientific notation with 3 sig figs.

Answers

Answer:

=0.423 yards (3 sig figs.)

Step-by-step explanation:

38.7÷91.44

=0.4232283

=0.423 yards (3 sig figs.)

If f (x) = one-ninth x minus 2, what is f>1(x)

Answers

Answer: f-1(x) = 9x + 18.

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y =  x - 2 ( add 2 to both sides )

y + 2 =  x

Multiply through by 9 to clear the fraction

9y + 18 = x

Change y back into terms of x

(x) = 9x + 18

Answer:

Answer: f-1(x) = 9x + 18.

Step-by-step explanation:

In the sentence below, which word or phrase refers to a mathematical operation?
While driving on the freeway, Jennifer was operating her vehicle at 10 miles per hour more than Amy.
A. more than
B. miles
C. 10
D. operating

Answers

Answer:

a

Step-by-step explanation:

for she was going faster then amy

The answer is A) More than. It is because, more than is indicated an addition problem.

when you went to bed the temperature was -5.5 it fell 3.4 degrees overnight what is the temperature now

Answers

Answer:

-2.1

Step-by-step explanation:

3.4 minus -5.5

Which statement about the function

y=-1/4x-2

is true?

A As the value of x increases, the
value of y increases.
B As the value of x decreases, the
value of y stays the same.
C As the value of x increases, the
value of y decreases.
D As the value of x decreases, the
value of y decreases.

Answers

Answer:

i think its D

Step-by-step explanation:

Explain how to divide an integer by a decimal

Answers

Answer:To divide decimal numbers: Multiply the divisor by as many 10's as necessary until we get a whole number. Remember to multiply the dividend by the same number of 10's.

Step-by-step explanation:

A correct notation for writing a complex word​

Answers

Answer:

D-a+bi

Step-by-step explanation:

its a+bi because a is a real number and i is an imaginary number and when we combine a real and imaginary number together we get a complex number.

Create two tables with at least four coordinates each. In the first table, choose coordinates that make the relation a function. In the second table, choose coordinates that don't make the relation a function. Explain in complete sentences how you determined which coordinates would define a function and which coordinates would not.

Answers

9514 1404 393

Answer:

function: (1, 98), (2, 98), (3, 2), (4, -86)not a function: (1, 98), (2, 98), (3, 2), (3, -86)

Step-by-step explanation:

A relation that is a function has unique x-values. A relation that is not a function has at least one x-value that is repeated. The y-values do not need to be unique in either case, except that a repeat of the same (x, y) pair does not disqualify a relation from being a function.

In the table shown above, the non-function has the x-value of 3 repeated with different y-values.

15 – 4(x – 3) = 5x + 9
I need the answer with work shown

Answers

Answer:

2

Step-by-step explanation:

15-4(x - 3)=5x+9

15-4x+12=5x+9

collect the like terms

27-9=5x+4x

18=9x

divide both sides by 9

x=2

Answer:

Your answer is: x = 2

Step-by-step explanation:

Hope this helped : )

i need help please for geometry

Answers

Answer:

EF ≈ 1.98

Step-by-step explanation:

Using the sine ratio in the right triangle

sin26° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{EF}{FD}[/tex] = [tex]\frac{EF}{4.5 }[/tex] ( multiply both sides by 4.5 )

4.5 × sin26° = EF

4.5 × 0.44 = EF , that is

EF ≈ 1.98 ( to 2 dec. places )

Combined Variation:

The safe load for a horizontal beam supported at both ends varies
jointly as the width and the square of its depth and inversely as
the distance between the supports. If a 4 cm by 6 cm beam,
10 m long supports 5 kg when standing on the edge, what is the
safe load if the beam is turned on its side?

Answers

Answer:

The formula would be

wd^2c/l = p

(2*1^2c)/4 = 10

(2*1c)/4 = 10

2c/4 = 10

c = 20

3*2^2*20/6 = p

3*4*20/6 = p

240 pounds

hope it help :)

Step-by-step explanation:

The safe load if the beam is turned on its side will be 240 pounds.

What is a load?

A burden or pressure source that is carried by someone or something. Construction loads are defined as the weights placed on an existing or temporary structure both during and after the construction process.

Given that the safe load for a horizontal beam supported at both ends varies jointly with the width and the square of its depth and inversely with the distance between the supports. If a 4 cm by 6 cm beam, 10 m long supports 5 kg when standing on the edge,

The load will be calculated by using the formula below:-

wd²c/l = p

(2 x( 1 ) ²c)/4 = 10

(2x 1c)/4 = 10

2c/4 = 10

c = 20

3 x ( 2 )²x ( 20/6 ) = p

3 x 4x ( 20/6 ) = p

p = 240 pounds

Therefore, the safe load if the beam is turned on its side will be 240 pounds.

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Part A
Joseph runs 2 miles on Monday. Each day after that, he runs the same 1 mile route every morning. His goal is to run at least 6 miles
by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?

Answers

Sine he runs 2 miles on Monday, we already have a +2.

Then, he runs by a constant rate of 1, which is the constant rate of change per day.

Let x represent the number of days he runs and y the total amount of miles he runs. Now, the equation is y = x + 2

However, he needs to run at least 6 miles. At least means greater than or equal to. The values for y can be greater than 6, or equal to 6.

y ≥ 6

y = x + 2

Now substitute x + 2 for y.

x + 2 ≥ 6

Subtract 2.

x ≥ 4

This is the inequality. He has to run for at least 4 days.

The cost of a DVD box set increased from $30 to $35. A student says that this represents a 5% increase in the price. Explain the student’s error. What is the actual percent increase?

A. The student used the difference as the percent increase. The actual percent increase is about 105%.
B. The student used the difference as the percent increase. The actual percent increase is about 17%.
C. The student forgot to add 100% for the original price. The actual percent increase is 105%.
D. The student forgot to add 100% for the original price. The actual percent increase is 117%.

Answers

Answer:

it b

Step-by-step explanation:

hope it help

Helpp meee pleaseeeeeeeeeee !!!!

Answers

Step-by-step explanation:

since the domain of the function is given, you just have to plug in the numbers to the function:

13x - x²

it's basically asking: if x was any of the numbers in the given domain, what would it be the answer be?

for example:

I'll solve for -2 and you can do the rest.

13 • -2 -(-2 ²) =

13 • 2 + 4 =

26 + 4 = 30

so the range for -2 would be 30

ILL GIVE BRAINLY my bruh

Answers

The answer is would be c

HELP Lines a, b, c, and d intersect as shown below.


What is x

Answers

Answer:

x = 109°

Step-by-step explanation:

Angle x lies outside of line d, and is also positioned just on the side of line a that is opposite to the side of line a occupied by angle 109°.

Therefore, angle x and the angle measure of 109° are alternate exterior angles.

Alternate exterior angles are congruent.

x = 109°.

Which ones are incorrect and what did they forget

Answers

Why what????????????????

Choose the scenario below that matches this number sentence:

27 ÷ 5

A) 27 people share 5 bags of chips.
B) 5 people share 27 brownies.

Answers

Step-by-step explanation:

B 27 bags of chips by 5 people

Answer:

B) 5 people share 27 brownies.

Step-by-step explanation:

This is the answer because:

1) If 5 people are sharing 27 brownies, it means they are basically asking, how many brownies did each person get. Then, we would write the numerical sentence: 27 ÷ 5 because we want to know how many brownies each person got.

Hope this helps! :D

Solve for l: A = 1/2 lw​

Answers

l=         2a

           w

Step-by-step explanation:

there you go in the picture i created for you

Answer:

[tex]l=\frac{2a}{w}[/tex]

Step-by-step explanation:

I am smart.

James wanted to know if Earth and Mars added together were as big as Jupiter.
Earth is 1.28 X 1007 m
Mars is 6.79 X 10^6 m
jupiter is 1.43 X 10^8 m
Add the diameters of earth and Mars to see if they are bigger than Juipter. Show your work
+

Answers

Answer:

Mars is 6.79 X 10^6 m

Step-by-step explanation:

Mars is at a distance of 206,600,000 km from the Sun at perihelion At aphelion, Earth is at a distance of 152,100,000 km from the Sun. This is a difference of 54,500,000 km, or 34,000,000 miles.  

Answer:

Mars is 6.79 X 10^6 m

Step-by-step explanation:

Make him brainliest!


Which of the following relations is a function?
• {(1.-6). (3. - 5), (1,0)
O None of the other answers are correct
Of(0,5), (5, -1). (5,9)
o {(6,1), (6,2), (6,3)}
o {(0,8), (1,7) (2,6)}

Answers

Answer:

I am awesome at these!!

Step-by-step explanation:

Only the last one is a function. This is because there are no repeating x values, which are the first numbers. It is okay for there to be repeating y values, but not x.

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