Explain how the equations 2/3m=-4 and -4m=24 are equivalent?

Answer:

Jane paints faster if I may be correct

The value of x is 5 for the given equation 5/3 = x/3.

So, the equation is:

Now, solve for x as follows:

Therefore, the value of x is 5 for the given equation 5/3 = x/3.

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Correct question:

Solve for x. 5/3= x/3

The equation of the line that passes through the point (-4, 3) and slope of 3/4 is y = 3x/4+6.

According to the question,

We have the following information:

We have the point (-4,3) and a slope of 3/4.

We know that the following formula is used to find the equation passing through any point:

(y-y') = m(x-x') where m is the slope and in this case, y' = 3 and x' = -4

y-3 = 3/4{x-(-4)}

y-3 = 3/4 (x+4)

Multiplying 3/4 into the bracket:

y-3 = 3x/4 + 3

Moving -3 from the left hand side to the right hand side:

y = 3x/4+3+3

y = 3x/4+6

Hence, the equation of the line that passes through the point (-4, 3) and slope of 3/4 is y = 3x/4+6.

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On that specific day, the US dollar was worth more than the Canadian dollar and less than the Australian dollar.

The equation u = 0. 99c depicts the value of the US dollar in relation to the Canadian dollar on a specific day.

From the equation,

For  Australian dollar; (from table)

u = 0.95 c   -->

a = 1/0.95 u

a = 20/19 u

(20/19u - u)/ u = 1/19   ....1

For Canadian dollar:

u = 0. 99c

c = 1/0.99 u --> c = 100/99 u

Thus,

(100 u / 99 - u)/ u = 1/99  .....2

From 1 and 2]

1/19 > 1/99

Thus, on that specific day, the US dollar was worth more than the Canadian dollar and less than the Australian dollar.

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Answer:

By comparing both the figures there is a difference of 6

[tex]x + 1 = 24 - 6 \\ x = 24 - 6 - 1 \\ x = 17[/tex]

Options C and E are correct. The expression can be written in the forms of

We have the length of the room as 12 feet

The width of the room = [tex]10\frac{1}{2}[/tex] feet

The expansion of the = 12 +x

What is the area of a rectangle?

The area of a rectangle is given as lw = length x width

Hence we would have the following:

(12+x)10.5 = area

We would have to open the bracket as well

126 + 10.5x

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Complete question

1012 feet. The length of the room is being expanded by x feet. Choose an expression to represent the new area of the living room in square feet and the expanded form of the expression. Select all that apply.

A. 10.5(12x) square feet

B. (10.5 + 12 + x) square feet

C. 10.5(12 + x) square feet

D. 126x square feet

E. (126 + 10.5x) square feet

F. (22.5 + x) square feet

The current age of Jenny is 6 years.

Let the current age of Phil be = x years

So the current age of Bill is = 2x years

The current age of Jenny is = 2x-2 years

Sum of their ages is = x+2x+2x-2 = 5x-2 years

Now the age of their dad is = 2(5x-2) = 10x-4 years

Now after nine years,

Age of Phil = x+9

Age of Bill = 2x+9

Age of Jenny = 2x-2+9 = 2x+7

Sum of their ages = x+9+2x+9+2x+7 = 5x+25

New age of their father = 10x-4+9 = 10x+5

According to question, the required linear equation to solve the question is,

5x+25 = 10x+5

5x = 20

x = 4

Hence the Jenny's current age = 2*4-2 = 8-2 = 6 years

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Answer:

$470

Step-by-step explanation:

%30 of 470 = $141

Answer: $470

I hope it help

Answer:

  A)  n > 0

Step-by-step explanation:

You want the solution and graph for -8n +18 > -6(3n -3).

Eliminating parentheses, we have ...

  -8n +18 > -18n +18

Subtracting 18 gives ...

  -8n > -18n

Adding 18n, we have ...

  10n > 0

Finally, dividing by 10 gives ...

  n > 0

The graph is attached.

By using a linear equation, it is obtained that

Distance farther Daniel's car travel in 1 gallon of gas than Bo's car =

3 miles

What is linear equation?

At first, it is important to know about equation.

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

The equation y = 31.5x represents the number of miles, y, that Daniel can drive his car for every x gallons of gas

Distance driven by Daniel in 1 gallon of gas = [tex]31.5 \times 1 = 31.5 \ miles[/tex]

Bo uses 9 gallons of gas to drive 256.5 miles in his car.

Bo uses 1 gallon of gas to drive [tex]\frac{256.5}{9}[/tex] miles in his car.

Bo uses 1 gallon of gas to drive 28.5 miles in his car.

Distance farther Daniel's car travel in 1 gallon of gas than Bo's car =

31.5 - 28.5 = 3 miles

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Complete Question

The complete question has been attached here.

Answer:

Here,

2x+3x=20x

or,5x=20x

or,5x-20x=0

or,15x=0(divide both sides by -15)

hence,x=0

The distance from the origin to point P graphed on the complex plane is d = [tex]\sqrt{29}[/tex]

Given,

In the question;

From the figure,

To find the distance from the origin to point P graphed on the complex plane .

Now, According to the question:

To see the graph,

The point P lie on the x- axis and y - axis .

x = 2 and y = -5

We know the formula of distance,

Distance (d) = [tex]\sqrt{x^{2} +y^2}[/tex]

d = [tex]\sqrt{2^2 + (-5)^2}[/tex]

d = [tex]\sqrt{4 + 25}[/tex]

d = [tex]\sqrt{29}[/tex]

Hence, The distance from the origin to point P graphed on the complex plane is d = [tex]\sqrt{29}[/tex]

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Answer:

125=16t², t²=125/16=√7.8125=2.7951 ,hence t=3secounds

Answer:

your answer is [tex]27/60[/tex] and [tex]7/60[/tex]

The ideal mechanical advantage of this car Jack: 30cm

What is Ideal mechanical advantage?

The length of the effort arm of a lever divided by the length of the resistance arm represents the optimal mechanical advantage. The IMA is typically calculated as the resistance force (Fr) divided by the effort force (Fe). IMA is also equal to the product of the load's travel distance (dr) and the distance over which the effort is applied (de).

The Handle of the car jack = 75cm

The car lifted by the jack = 2.5cm

According to the formula:

Ideal mechanical advantage =  The resistance force /  The effort force

or, (Fr/Fe)

IMA = 75 / 2.5

IMA = 30cm

Hence, Ideal mechanical advantage of the car jack = 30cm

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Assuming the question is : "how much does 1 box of blueberries cost?"

After he bought 5 boxes of blueberries and 3 watermelons, he was left with $16.50

Therefore, 5 boxes of blueberries and 3 watermelons cost $60.50 - $16.50 = $44

We are given the cost of 1 watermelon is $8.30

Therefore, 3 watermelons cost $8.30 x 3 = $24.90.

-> 5 boxes of blueberries cost $44 - $24.90 = $19.10

-> 1 box of blueberries cost $19.10 : 5 = $3.82

Answer:

If your trying to find the total of the 5 boxes of blue berries the answer is

$19.10

Step-by-step explanation:

60.50 - 16.50 = 44$ meaning he spent that much.

8.30 x 3 = 24.9

19.10 + 24.9 = 44

hope this helps

From the figure

A. alternate interior angles:  1

B. same side exterior: 4

C. vertical: 4 and 3

D. same side interior: 3

E. obtuse angle: 1

F. adjacent angle pairs: 1 and 2

G. alternate exterior: 2

H. corresponding: 4

I. complimentary:

parallel lines refer too lines that would never meet. When there is a pair of parallel lines with a transversal line like in the figure some angle theorems come into play  

some of the are used in the in the problem and definition of some them include

adjacent angles refer to angles that are next to each other, such angles are being demarcated by a line to the other angle. in the figure angle 1 and 2 alternate angles

Obtuse angles refers to angles that are more than 90 degrees but less than 90 degrees

vertical angles are angles opposite to each other, formed when two lines meet

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The plan that would give Genesis the lowest monthly payment is D. The monthly credit card payment would be $540.78, which is lower than the monthly payment on the bank loan.

From the information, the home improvement project that totals $16,000, and Genesis is choosing between taking out a simple interest bank loan at 8% for 3 years.

The simple interest earned will be:

= Principal × Rate × Time / 100

= (16000 × 8 × 3)/100

= $551.11

The compound interest will be:

A = P(1 + r/n)^nt

A = accumulated amount

P = amount deposited

r = rate

n = times of compound per year

t = years

This will be:

A = 16000(1 + 0.15/12)^(12×7)

A = $540.78

Therefore the correct option is D.

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The way that one number in the second equation be changed so the system has only one solution is;  to divide each term by 2 to get the coefficient of y as 5.

There are different methods to solve simultaneous equations such as;

We are given the equations as;

3x + 5y = 4

16x + 10y = 4

Now, we want to perform an operation whereby we make the second equation be changed so the system has only one solution. This method is the elimination method.

The elimination method is the process that we use to eliminate one of the variables in the system of linear equations with the aid of the addition or subtraction methods as well as multiplication or division of coefficients of the variables.

Now, since we have 5y in the first equation, the first step to carry out on the second equation is to divide each term by 2 to get the coefficient of y as 5.

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Answer:

Step-by-step explanation:

3b(2x - z^3)  = 2h - 7gx      Distribute 3b

6bx - 3bz^3 = 2h - 7gx      Add 3bz^3 to both sides

6bx = 3bz^3 + 2h - 7gx    Add 7gx to both sides

6bx + 7gx = 3bz^3 + 2h     Factor left side, factor out a gcf of x

x(6b + 7g) = 3bz^3 + 2h     Divide both sides by (6b + 7g) to isolate x

x = (3bz^3 + 2h)/ (6b + 7g)

The correct answer is C. Jayce's fee for his 10th drive is equal to K dollars.

Based on the mentioned statements, n refers to the number of drives in a certain day. Additionally, it is mentioned that M(n) models the fee in dollars. As is seen in the equation, M(n) is equal to K. Thus, the fee in dollars is K dollars.

Now, as n is ten, thus the drive is tenth. And the fees for tenth drive is K dollars. So, the third option is correct, which states that Jayce's fee for his tenth drive is equal to K dollars.

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Answer:

no

Step-by-step explanation:

because the equation is supposed to be y=mx+b and the x comes after slope which is after m

Answer: Yes

Step-by-step explanation:

Linear functions are functions whose graph is a straight line. The function has to be in the form y=a+bx in order to be linear. Second, for any given change in x, the change in y will always be the same value.

There  are no prime numbers between7,608 and 7,620

A prime number is a whole number greater than 1 whose only factors are 1 and itself

The numbers between 7608 and 7620 are:

7609,7610,7611,7612,7613,7614,7615,7616,7617,7618,7619

Here we have to check these numbers are prime number or not

Prime factorization

7609=7×1087

7610=2×5×761

7611=3×43×59

7612=2×2×11×173

7613=23×331

7614=2×3×3×3×3×47

7615=5×1523

7616=2×2×2×2×2×2×7×17

7617=3×2539

7618=2×13×293

7619=19×401

Hence, proved that there are no prime numbers between7608 and 7620

Answer:

The second plan ($15.00 for 15 songs) offers the lowest cost per song.

Step-by-step explanation:

The objective is to find the plan that provides the lowest cost per song.  "Lowest cost per song" is basically $/song.  So let's compare the two plans by calculating the cost per song.

Plan 1:  $9.60/(8 songs)    = $1.20/song

Plan 2: $15.00/(15 songs) =  $1.00/song

The second plan ($15.00 for 15 songs) offers the lowest cost per song.

Answer: 76

Step-by-step explanation:

Based on the given conditions, formulate: 6+10*7

Calculate the product or quotient: 6+70

Calculate the sum or difference: 76

The street was 900m long when the speed is 15m/s and, the time is 60 seconds.

To calculate speed, divide the distance traveled by the time it took to complete the voyage, so speed = distance divided by time. To determine the distance, multiply the speed by the passage of time. These equations can be reduced as s=d/t, where s represents speed, d represents distance, and t represents time.

Distance divided by time equals speed. Distance = time * speed

To solve for speed or rate, utilize the speed formula, s = d/t, which implies speed equals distance divided by time. To solve for time, utilize the time formula, t = d/s, which implies time equals distance divided by speed.

Given,

Speed of the biker who travels down the street=15m/s

Time taken=60seconds

Distance=?

We know that,

Distance=Speed× Time

Distance=15×60

Distance=900m

Therefore, the street was 900m long

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Answer: no clue

Step-by-step explanation: i don't know Spanish lol