What is an equation of the line that passes through the point (-6,5) and is parallel
to the line 2 - 3y = 21?

Answer:

132'500

Step-by-step explanation:

It is like doing tax, you just needed to multiply your number by 0.6

Answer:

$ 7,500

Step-by-step explanation:

commission=6%

House price= $125,000

Commission=6/100 ×125,000

Commission= $ 7,500

Answer:

[tex]A(w) = 40w - w^2[/tex]

Step-by-step explanation:

Given

[tex]P = 80[/tex] --- perimeter

Required

Define the area in terms of width

The perimeter of the pool is:

[tex]P =2(l + w)[/tex]

Where:

[tex]l\to length[/tex]

[tex]w\to width[/tex]

So:

[tex]80 =2(l + w)[/tex]

Divide by 2

[tex]40 =l + w[/tex]

Make l the subject

[tex]l = 40-w[/tex]

The area is then calculated as;

[tex]A(w) = l * w[/tex]

Substitute: [tex]l = 40-w[/tex]

[tex]A(w) = (40 - w) * w[/tex]

[tex]A(w) = 40w - w^2[/tex]

Answer:

B. 4:10

Step-by-step explanation:

A. 3:6 is equal to 1:2, which is our given answer for A.

B. Has no equivalent to 3:6

C. 10:20 can be simplified to 1:2 which 3:6 can also be simplified to… giving our answer.

Finally, D. You can multiply equally by 5 to get 15:30 and divide to get back to 3:6… it’s equal ;)

Hope this helps, good luck!

Answer:

2nd option

Step-by-step explanation:

The discriminant b² - 4ac tells us about the nature of the roots

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then the roots are not real

Here b² - 4ac = 15 > 0

Then there are 2 real and distinct roots

x = 2 and x = - 3 are possible solutions to the equation

Answer:

option b) x = 2 and x = -3

Step-by-step explanation:

If discriminant is greater than zero, then the quadratic equation will have two solutions.

If discriminant is equal to zero, then the quadratic equation will have only one solution.

If discriminant is less than zero no solution

Here the discriminant is 15 , which is greater than zero.

Therefore we will have to solutions.

There is only one option with two solutions for x.

So option b is the answer.

Answer:

Step-by-step explanation:

LCM×HCF= Product

LCM×3=180

LCM=180/3=60

Answer:

volume= 502.4cm

Step-by-step explanation:

see attachment for detailed solution

Answer:

Step-by-step explanation:

Formulae for Volume = Pi x r2 x h

Pi = 3.14 or 314/100 because the radius is not a product of 7

Radius = 4 cm

Height = 10 cm

314/100 x 4 x 4 x 10 = 512.4 cm2

= 512.4 cm2

Answer:

Solution: {x = 2, y = -1/3}

Step-by-step explanation:

On observation, we see that the y-terms are equal and opposite in sign, therefore to solve the system, we add the two equations.

2x-3y = 5 ..........(1)

3x+3y = 5............(2)

(1) + (2)

2x - 3y + 3x + 3y = 5+5

5x = 10

x = 2 .......(3)

Substitute (3) in (2) and solve for x

3x+3y = 5 .....(2)

3(2) + 3y = 5

3y = 5-6 = -1

y = -1/3  .......(4)

assemble (3) and (4) to give the answer

Solution: {x = 2, y = -1/3}

Answer:

okay for graphing first one start at zero go up five. then rise over run. so go up one and right four.

second one go down one. then down one right one

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{39.63 + 0.30 = 24.45 + 0.80}[/tex]

[tex]\large\textsf{39.63 + 0.30}[/tex]

[tex]= \boxed{\large\textsf{\bf 39.93}}\large\checkmark[/tex]

[tex]\large\textsf{24.45 + 0.80}[/tex]

[tex]=\boxed{\large\textsf{\bf 25.25}}[/tex]

[tex]\large\textsf{\bf 39.93 } \mathsf{\bf \neq }\large\textsf{ \bf 25.25}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \bf FALSE or NOT TRUE because 39.93 }\mathsf{\neq }\large\textsf{ \bf 25.25}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

A dozen is 12.

12*5 = 60 eggs

5 dozen eggs are equal to 60 eggs.

A dozen is a unit of measurement equal to 12 items. So, 5 dozen is equivalent to 5 times 12, which gives us a total of 60 items.

When referring to eggs, the term "dozen" is commonly used to represent a quantity of eggs. In this case, if we have 5 dozen eggs, it means we have 5 sets of 12 eggs each.

To calculate the total number of eggs, we multiply the number of dozens (5) by the number of eggs in a dozen (12):

5 dozen x 12 eggs/dozen = 60 eggs

Therefore, 5 dozen eggs are equal to 60 eggs. This means that if you have 5 sets of 12 eggs, you would have a total of 60 eggs.

To learn more about multiplication;

https://brainly.com/question/19634536

#SPJ6

Answer:

Step-by-step explanation:

x/7 - 13 ≥ -11

x/7 ≥ 2

x ≥ 14

m/-6 + 16 ≥ 19

m/-6 ≥ 3

m/6 ≤ -3

m ≤ -18

Answer:

1/4

1/2

3/4

1

Step-by-step explanation:

1/2 = 0.5

1/4 = 0.25

3/4 = 0.75

1 = 1

Two consecutive odd integers with a sum of 36 are 17 and 19.

Hope it helps you I'm from ph❤️

Answer:

Two consecutive odd integers with a sum of 36 are 17 and 19.

Step-by-step explanation:

hope i helped

First we find the slope of the line 2x−3y+8=0 by placing it into slope intercept form:

2x−3y+8=0

⇒−3y=−2x−8

⇒3y=2x+8

⇒y=  

3

2

​

x+  

3

8

​

Therefore, the slope of the line is m=  

3

2

​

.

Now since the equation of the line with slope m passing through a point (x  

1

​

,y  

1

​

) is

y−y  

1

​

=m(x−x  

1

​

)

Here the point is (2,3) and slope is m=  

3

2

​

, therefore, the equation of the line is:

y−3=  

3

2

​

(x−2)

⇒3(y−3)=2(x−2)

⇒3y−9=2x−4

⇒2x−3y=−9+4

⇒2x−3y=−5

Hence, the equation of the line is 2x−3y=−5.

Answer:

y=2/3x-11/3

Step-by-step explanation:

Hi there!

We are given the equation 2x-3y=9 and we want to write an equation that is parallel to it and that passes through (4,-1)

Parallel lines have the same slopes

So we need to first find the slope of 2x-3y=9

We can do this by converting the equation of the line from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

To do this, we need to isolate y on one side

2x-3y=9

subtract 2x from both sides

-3y=-2x+9

divide both sides by -3

y=2/3x-3

as 2/3 is in the place where m is, 2/3 is the slope of the line

It's also the slope of the line parallel to it that passes through (4,-1).

Here's the equation of that line so far:

y=2/3x+b

now we need to find b

as the line will pass through the point (4,-1), we can  4 as x and -1 as y in order to solve for b

-1=2/3(4)+b

multiply

-1=8/3+b

subtract 8/3 to both sides

-11/3=b

Substitute -11/3 as b into the equation

y=2/3x-11/3

There's the equation

Hope this helps!

Answer:

19

Step-by-step explanation:

If a=17, then:

2 + 17 = 19

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Have a great summer :)

9514 1404 393

Answer:

  π, √3, 3√2

Step-by-step explanation:

A number is irrational if it is not a decimal number of finite length or a repeating decimal number.

The irrational numbers in the group are shown below.

Answer:

x = 32°

Step-by-step explanation:

The two angles form a straight line, so therefore they are supplementary.

The sum of supplementary angles always equal 180°, so we know that:

(3x - 4) + (3x - 8) = 180°

Now you have the equation, solve for x.

3x - 4 + 3x - 8 = 180°

6x - 12 = 180°

6x = 192°

x = 32°

Answer:

3x-4+3x-8=180

3x+3x=180+4+8

6x=192

x=32

check: 3(32)-4+3(32)-8=180

Question 23

Recall that a kite in geometry is any four sided figure where we have two different pairs of adjacent sides that are the same length.

We're told that PS = 4.5 and RS = 6. So this isn't an adjacent pair of congruent sides. But we can say that PS and PQ are one pair of adjacent congruent sides. That makes PQ to be 4.5 cm long.

Similarly, RS = RQ = 6 is the other pair of adjacent congruent sides. Notice that triangle PQR reflects over line PR to get triangle PSR.

See the diagram below.

Answer:

1. mode

2. median, mode, mode interval

3. stem and leaf graph

4. not sure (try using a median calculator)

5. 80 or 90 (not exactly sure)

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

5x-8 = 2x+16

Move 2x to the left side and you get 3x-8 = 16

Move -8 to the right side and you get 3x = 24

Divide 3 on both sides and you get x = 8

Answer:

Mathew will earn $360.72 from his food

Step-by-step explanation:

We know that:

1 bushel of wheat = $5.40

And Matthew produced 66.8 bushels of heat this year

To find how much Matthew will earn from his field, multiply:

5.40 x 66.8 = 360.72

Therefore he will earn $360.72 from his field.

Hope thjs helps!

Answer:

y = 2*x + 5

Step-by-step explanation:

En este problema tenemos los datos de una tabla, y supongo que queremos encontrar la funcion que esta siendo representada por esta tabla.

La tabla es:

x:  -2   -1   0   1   2   3

y:   1    3   5   7   9   11

Esto parece ser una relación linear, las cuales se escriben como:

y = a*x + b

Donde a es la pendiente y b es la ordenada.

Si sabemos que la linea pasa por los puntos (x₁, y₁) y (x₂, y₂), entonces la pendiente será:

a = (y₂ - y₁)/(x₂ - x₁)

Entonces lo primero que debemos chequear es si utilizando distintos puntos de esa tabla obtenemos la misma pendiente, lo que significaría que los datos de la tabla se corresponden con una relación linear.

SI usamos los primeros dos puntos de la tabla, que son (-2, 1) y (-1, 3) la pendiente es:

a = (3 - 1)/(-1 - (-2)) = 2/1 = 2

Ahora si utilizamos por ejemplo el segundo y tercero, que son (-1, 3) y (0, 5) entonces la pendiente es:

a = (5 - 3)/(0 - (-1)) = 2/1 = 2

Ya vimos que para dos pares de puntos distintos la pendiente es igual a 2, entonces podemos concluir que la ecuación va a ser algo como:

y = 2*x + b

Para encontrar el valor de b, podemos usar cualquiera de los puntos de la tabla.

Si usamos el segundo punto, (-1, 3)

esto significa que cuando x = -1, tenemos y = 3

Si reemplazamos esos dos valores en la ecuación de arriba, obtenemos:

3 = 2*-1 + b

3 = -2 + b

3 + 2 = b

5 = b

Entonces la ecuación es:

y = 2*x + 5

Answer:

$8.99

Step-by-step explanation:

14.38 ÷ 2 = 7.19

7.19 + 1.8 = 8.99

Hope this helps

Answer:

QM = 21

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

QM = PQ = 21

Answer:

Circumference! it's the major arc whose starting and ending point coincide.

Answer:

The answer is 3.

Step-by-step explanation:

To answer this, you have to find the total amount of cups he had to begin with. You add the cups of peanuts, cashews, chocolate chips, and raisins together, which equals 15 cups. Then, he divided it evenly into 5 bags, which means he put 3 cups of trail mix into each bag.

Answer:

47

Step-by-step explanation:

47

4 is 3 less than 7 so fits the requirement for the first part

47 reversed = 74

47 + 74 = 121

Answer:

47

So the number in the unit digit is x since it is unknown.

the number in the tens digit is 3 less than x which can be expressed as x-3.

we have to multiply x-3 by 10 since x-3 is supposed to represent the digit in the tens place. so we have 10(x-3)+x (we are adding x because in any number we always add the tens digit by the ones, for example, 13, 10 + 3)

the reverse number would instead be x in the tens place and (x-3) in the ones place so the equation would be 10x+(x-3)

10(x-3)+x + 10x+(x-3) is equal to 121.

distribute 10(x-3), 10x-30

10x - 30 + x +`10x+x-3

Add like terms, 10x+x and -30-3

11x-33+11x

11x+11x = 22x

so we have 22x-33=121

add 33 to both sides to isolate 22x

121+33= 154

22x=154, divide both sides by 22

154/22 = 7

x=7 but this is only the ones digit.

10(x-3)+x is the equation, so replace x with 7

10(7-3)+7

7-3 = 4 and 4*10 = 40

40 + 7 = 47

original number is 47