6v+12b=504
2v+5b=204

Answers

Answer 1

Answer:

Step-by-step explanation:

6v + 12b = 504       eq1

2v +  5b = 204        eq2

6v +  15b = 612       eq2  times 3    

0     -3b   = 504 - 612        subtraction of the two bolded eqs

         -3b  =  -108                solve for b

            b  =    36

    Another way to solve the problem

6v + 12b = 504        I would eliminate the v term by multiplying the bottom

2v +  5b = 204        equation by -3 on BOTH sides and then add the two eqs

   2v +  5b  = 204

-3(2v +  5b) = -3(204)

 -6v  -  15b  =  -612

   

6v  + 12b  =   504

-6v  -  15b  =  -612            add the like terms

(6v + (-6v)) + (12b + (-15b)  =  504 + (-612)

(6v -6v)) + (12b - 15b)  =  504 - 612)

    0       +         -3b     =    - 108            solve for b   divide both sides by -3

                           b   =  -108/-3

                             b =  36                  

use eq   2v +  5b = 204       to solve for v       and knowing b = 36

        2v +  5b = 204      b=36

        2v +  5(36)  = 204                 substract 5 times 36 from both sides

                 2v   =   204 - 180

                    v  =    24 / 2

                    v  =  12

NOW CHECK the values for b and v using the OTHER eq

       6v      +     12b      =    504

       6(12)   +   12(36)    =    504

         72    +     432      =    504

                        504      =    504           IT CHECKS


Related Questions

I need help!!!!!!!!!!!!!!!!

Answers

split the figure into 3
area of rectangle is length x width
3x6=18
5x3=15
3x6=18
add them together
18+18+15=51

Step-by-step explanation:

1.2(3cm)×2(6cm)

6cm × 12cm

=72cm²

2. 2(5cm)×2(3cm)

10cm×6cm

60cm²

3.2(6cm)×2(3cm)

12cm × 6cm

72cm²

72cm²+60cm²+72cm²

=204cm²

2(x+3)=5x-6-3x true or false

Answers

Answer:

False

Step-by-step explanation:

LHS = 2x + 6

RHS = 2x - 6

LHS is not equal to RHS

False
Expand 2(x+3) = 2x +6
5x-3x-6=2x-6
2x+6 is not equal to 2x-6

7y - 2 3/4 = 1/2 solve these equation

Answers

Answer:

y = [tex]\frac{13}{28}[/tex]

Step-by-step explanation:

Given

7y - 2 [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( change the mixed number to an improper fraction )

7y - [tex]\frac{11}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( multiply through by 4 to clear the fractions )

28y - 11 = 2 ( add 11 to both sides )

28y = 13 ( divide both sides by 28 )

y = [tex]\frac{13}{28}[/tex]

Hopes this helps:

Answer: y= 13/28

1. Convert 2 3/4 to improper fraction. Use this rule: a b/c = ac+b/c.
7y - 2 • 4 + 3 / 4 = 1/2

2. Simplify 2 • 4 to 8.
7y - 8 + 3 / 4 = 1/2

3. Simplify 8 + 3 to 11.
7y - 11/4 = 1/2

4. Add 11/4 to both sides.
7y = 1/2 + 11/4

5. Simplify 1/2 + 11/4 to 13/4.
7y = 13/4

6. Divided both sides by 7.
Y= 13/4 / 7

7. Simplify 13/4 / 7 to 13 / 4 • 7.
Y = 13 / 4 • 7

8. Simplify 4 • 7 to 28.
Y= 13/28

Need Help ASAP! Use pie as 3.14.Please solve thoroughly please and thank you!

Answers

No need to use pi for this problem! So we're finding the area of a trapezoid. It's made up of: a square with length and width 2, and two triangles with a base 2 and height 2.

Area of a triangle formula is [tex]A = \frac{1}{2} B\cdot h[/tex]

[tex]A = \frac{1}{2}\cdot2\cdot 2[/tex]

[tex]A = \frac{1}{2}\cdot 4[/tex]

[tex]A = 2[/tex] units^2

And since the two triangles are the same, the other triangle has the same area: 2 units^2

For the square we can use [tex]A = l\cdot w[/tex]  

[tex]A = 2 \cdot 2[/tex]

[tex]A = 4[/tex]

Combine the areas: the total area is 2 + 2 + 4 , = 8 units^2

Answer:

8 units²

Step-by-step explanation:

In order to find the area of this trapezoid, you can apply the formula for the area of a trapezoid: ([tex]b_{1}[/tex] + [tex]b_{2}[/tex]) × h/2

In the equation, you already know base one (2) and the height (2), but base two isn't given. To find the length of the whole base, you need the length of the other side of the square: You can tell that it is two because the two given sides of the square are 2.

Since you now know that the length of the missing side of the base is 2, you can add the three values given to get the base length:

2 + 2 + 2 = 6

Now, you have all the information needed to find the area of the trapezoid. Input them all into the equation:

([tex]b_{1}[/tex] + [tex]b_{2}[/tex])*h/2 where [tex]b_{1}[/tex] is 2, [tex]b_{2}[/tex] is 6, and h is 2,

(2 + 6) × 2/2

= 8 × 1

= 8 units²

what's
[tex] \sqrt{212 + 13} [/tex]

Answers

Answer:

Answer is 15 I hope this help

I NEED HELP Tiffon makes a 35% commission on the websites that he sells to businesses. If he sells $3,500 worth of websites, what is his commission?

Answers

He makes $1,225 because 35% of $3,500 is $1,225

Volumen de un prisma de base cuadrangular de 36 centimetros de altura y 21 centimetros de arista de la base

Answers

Responder:

756 cm³

Explicación paso a paso:

Dar lo siguiente

Base del prisma = 21cm

Altura del prisma = 36 cm

Volumen del prisma = Área de la base * Altura

Volumen del prisma = 21 * 36

Volumen del prisma = 756cm³

De ahí el volumen del prisma = 756cm³

Find the equation of a line that passes through (2,-3), and that is parallel to 5x + y = -2.
O y=-5x + 7
O y = 5x - 13
O y = 5x - 3
O y = -5x - 3​

Answers

Answer:

O y = -5x + 7

Step-by-step explanation:

[tex]5x + y = -2 \\y = -5x - 2[/tex]

the slope of this line is -5 so the slope of a parallel line will also have to be -5

put it in point slope form:

y - - 3 = -5(x - 2)

y + 3 = -5x + 10

y = -5x + 7

If 1=3

2=3

3=5

4=4

5=4

Then, 6=?​

Answers

It’s 6=6 I think I hope it’s help have a nice day

PLs help i really need it will give brainliest and thanks and 5 stars

Answers

Answer:

(5-2t)<-4

Step-by-step explanation:

The midnight temprature is 5 °C and the temprature is decreasing at the rate of 2°C per hour . If T is the hours past midnight then after t hours the temprature will be ( 5t-2t) . If the temprature is colder than -4°C right now , then your inequality can be written like 5t-2t<-4

Jo is playing a game in which he must roll a die and toss a coin. What is the probability that Jo will roll a 6 and toss a heads? Make a list to support your answer.

Answers

Answer:

1/ 12

Step-by-step explanation:

Sample space :

(H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6)

Probability = required outcome / Total possible outcomes

Required outcome = roll a 6 and toss a heads = 1

Total possible outcomes = sample space = 12

= 1/12

Bella has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
She buys a new bicycle for $353.59.
She buys 3 bicycle reflectors for $4.98 each and a pair of bike gloves for $38.63.
She plans to spend some or all of the money she has left to buy new biking outfits for $49.20 each.

Write and solve an inequality which can be used to determine xx, the number of outfits Bella can purchase while staying within her budget.

Answers

Answer:

Bella spent 407.16 and has 132.84 left. she could buy like 2 outfits

Step-by-step explanation:

Solve algebraically the simultaneous equations
x^2– y^2 = 24
x= 3 + 2y
Write your two pairs of answers in this form:
when x =... y =...
When x=... y=...

Answers

Answer:

(5, 1) and (-5, -7)

Step-by-step explanation:

Given the simultaneous equations

x^2– y^2 = 24 .... 1

x= 3 + 2y .... 2

Substitute 2 into 1

(3-2y)^2-y^2 = 24

Expand

9 - 12y + 4y^2 - y^2 = 24

9 - 12y + 3y^2 = 24

3y^2 - 12y + 9-24 = 0

3y^2 -12y -15 = 0

y^2-4y-5 = 0

y^2+5y - y - 5 = 0

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

y-1 = 0 and y+5 = 0

y = 1 and -5

Substitute the values of y into 2

Recall that x = 3+3y

when y = 1

x = 3 + 2(1)

x = 5

when x = -5

x = 3 + 2(-5)

x = 3 - 10

x = -7

Hence the solutions are (5, 1) and (-5, -7)

Marie can make 1/3 quart of orange juice in 1/5 of a minute by squeezing oranges. At this rate, how much juice can she make in 1 minute?

Answers

1/3 she makes every 1/5 minutes just multiply 1/3 by 5 to get 5/3 or 1 and 2/3 cups

Two straight lines are shown.

Answers

Answer:

(3,20)

Step-by-step explanation:

so O must be 0,0 and A is a midpoint of OB

This means B must be (14,12)

B is the midpoint of TS.

This means that the distance of SB is equal to the distance of BT.

This must mean that the coordinate of T must be (3,20)

O: (0,0)    x coordinate increases by 7. y coordinate increases by 6.

A: (7,6)

B: (14,12)

S: (25,4)    x coordinate decrease by 11. y coordinate increases by 8.

B: (14,12)

T: (3,20)

The coordinates of T are (3, 20).

What is Straight Line?

A straight line is an endless one-dimensional figure that has no width.

From the figure, A is the midpoint of OB and B is the midpoint of TS

The coordinates of O are (0, 0) and Coordinates of A are (7,6)

We can find coordinate of B.

(7, 6)=(0+x/2, 0+y/2)

(7,6)=(x/2, y/2)

x/2=7   and    y/2=6

x=14               y=12

So the coordinates of B are (14, 12)

Now we can find the coordinates of T.

(14, 12)=(X+25/2, Y+4/2)

X+25=28

x=3

Y+4=24

Y=20

So the coordinates of T are (3, 20)

Hence, the coordinates of T are (3, 20).

To learn more on Straight lines click:

https://brainly.in/question/5952912

#SPJ2

what two number multiply to make -36 as well as add to make 16

Answers

-12 x 3 = -36

-6 x 6 = 36

-8 x 2 = -16

-4 x 4 = -16

Help please!
find the area of the shaded region. round to the nearest hundredths if necessary.
You can answer just 1 of them and thats fine but id really appreciate if all could get answered!

Answers

Answer:

b. 84.612cm

c. 314.15cm

d. 5cm

Step-by-step explanation:

b. solve for both triangles and height of rectangle using Sin

c. pi(r)h  3.1415(10)(10)

d. 3*3-2*2=5

What is the equation of a line with a slope of 2 and a y intercept of -5?

Answers

Answer:

y=2x-5

Step-by-step explanation:

The slope is how you move so you could also call it m

The y intercept is where you begin so you could call it b

So every time you need to find the equation or which one is like the slope just remember m=move b= begin

y=mx+b

Five times a number is 28 greater than the product of the number and -2. Find the number

Answers

Answer:

4

Step-by-step explanation:

Let the unknown number be x

Five times the number is expressed as 5x  

28 greater than the product of the number and -2 is expressed as;

28 + (-2x)

Equating both expressions

5x = 28 + (-2x)

5x = 28 - 2x

5x+2x = 28

7x = 28

x = 28/7

x = 4

Hence the number is 4

License plates in the tiny country of Venn follow a unique pattern. The first character is one of 41 Egyptian hieroglyphs, the second is one of 39 emojis, and the third character is one of 10 polygons. How many 3 character license plates are available to the people of Venn?

Answers

Answer:

12710 license plates

Step-by-step explanation:

Given that :

First character = one of 41 different hieroglyphs

Second character = one of 31 emojis

Third character = one of 10 polygons

A license plate consists of 3 characters

Number of 3-character license plates available :

Number of hieroglyphs * Number of emojis * number of polygons

41 * 31 * 10 = 12710 license plates.

Find the value of the expression:

A + B - 3

For a =10 and b = 7

Answers

Answer:

14

Step-by-step explanation:

10+7 = 17 - 3 = 14

Please help me with this homework

Answers

Answer: x = 5, y = -2

find the missing number that will make the statement true​

Answers

Jus swap the numbers, it’s 28

Solve for x to the nearest tenth.

Answers

x=11.18 is your answer look it once

2 If a transformation is applied to a figure and a new figure is created, which
transformation would NOT preserve congruence? (8.108, SS, RC3)
F. (x, y) + (x + 5, y - 4)
G (x,y) → (-y, x)
H (x,y) → (3x, 3y)
J (x,y) → (x, -y)
A. F
B. G
C. H
D. j

Answers

I think it would be F

I need help please help me!!!!

Answers

everything = 360 degrees
40+40+60+75+11x+13 = 360
11x+228 = 360
11x = 132
x = 132:11
x = 12

Given the equation of a line y = 5x -16, what is the slope of a line PERPENDICULAR to this line?​

Answers

Answer:

[tex]-\frac{1}{5}[/tex]

Step-by-step explanation:

Notice that the equation y = 5x - 16 is in slope-intercept form, or [tex]y = mx + b[/tex] format. Whenever an equation is in slope-intercept form, the number in place of the [tex]m[/tex], or the coefficient of the x-term, represents the slope of that line. So, the slope of the given line is 5.

Slopes that are perpendicular to each other are opposite reciprocals. So, we need to find the opposite reciprocal of 5. To do that, write it as a fraction, making it [tex]\frac{5}{1}[/tex]. Then, switch the sign and flip the numerator and denominator. This means that the opposite reciprocal of 5 is [tex]-\frac{1}{5}[/tex], so [tex]-\frac{1}{5}[/tex] is the perpendicular slope.

Which equation represents a nonproportional relationship? Which equation represents a nonproportional relationship? A y = 5x B y = 5x + 3 C y = −5x D y = − 1 5 x

Answers

Answer:

y = 5x + 3 is a nonproportional relationship.

Step-by-step explanation:

We need to find the equation that represents a nonproportional relationship.

If y is directly proportional to x, it would mean that,

y ∝ x

y = kx

Option (b) shows the equation of a line i.e. y=mx+x, where m is slope and x is y-intercept.

Hence, we can say that option (b) represents a nonproportional relationship.

Select all the equations that have a solution of -4:
A. 10 + x = 6
B. 10 - x = 6
C.-3x = -12
D. -3x = 12
E. 8 = x^2
F. x^2 = 16

Answers

Answer:

a, d, f ( 4,-4)

Step-by-step explanation:

Evaluate:
f(x) = 3x – 4, when x=-2
O f(-2) = 2
O f(-2) = -10
O f(-2) = -2
o f(-2) = 1

Answers

Answer is f(-2) = -10
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