how many triangles can be drawn with side lengths of 3 inches, 5 inches, and 6 inches???

Answer:

Step-by-step explanation:

Given system of equations are

   y= -3x+4

⇔3x+y=4 .........(1)

 x= 2y+6

⇔x-2y=6...........(2)

Equation (1) ×2 +equation (2)

6x +2y+x-2y =8+6

⇔7x=14

[tex]\Leftrightarrow x= \frac{14}{7}[/tex]

⇔x = 2

Putting the value of x in equation (1)

3.2+y=4

⇔y+6=4

⇔y=4-6

⇔y=-2

Therefore x=2 and y=-2

Answer:

I belive the anwers is a

Step-by-step explanation:

Step-by-step explanation:

The given system of linear equations:

x - 2y = 8                        ........ (1)

and 4x + y = 5               ........ (2)

To find, the values of x and y = ?

Multiplying equation (2) by 2, we get

2(4x + y) = 5 × 2  

⇒ 8x + 2y = 10                ........ (3)

Adding equations (1) and (3), we get

x - 2y + (8x + 2y) = 8  + 10  

⇒ x - 2y + 8x + 2y = 8  + 10

⇒ 9x = 18

⇒ x = 2

Put x = 2 in (1), we get

2 - 2y = 8        

⇒ 2y =2 - 8

⇒ 2y = - 6

⇒ y = - 3

∴  x = 2 and y = - 3

Answer:

-0.83

Step-by-step explanation:

Answer:

1,365 divided by 8 is equal to 169.5

the fraction form is 169 1/2

X=3.1:

Step-by-step explanation:

You need to isolate/get x by itself in the equation

6 + 3(6x - 2) = -12      Distribute/multiply 3 into (6x - 2)

6 + (3)6x - (3)2 = -12

6 + 18x - 6 = -12       Combine like terms (6 and -6)

18x = -12      Divide 18 on both sides to get x by itself

[tex]x = -\frac{12}{18}[/tex]       Simplify

[tex]x=-\frac{2}{3}[/tex]

PROOF

[tex]6+3(6(-\frac{2}{3} )-2)=-12[/tex]           Plug in -2/3 into x, then multiply 6 and -2/3

6 + 3(-4 - 2) = -12         Simplify what's in the parentheses

6 + 3(-6) = -12          Multiply 3 and -6

6 - 18 = -12              

-12 = -12

Answer:

Part 4) [tex]ER=3\ units[/tex]

Part 5) [tex]DF=9\sqrt{10}\ units[/tex]

Part 6) [tex]DE=30\ units[/tex]

Step-by-step explanation:

Part 4) Find ER

we know that

In the right triangle ERF

Applying the Pythagorean Theorem

[tex]EF^2=ER^2+RF^2[/tex]

substitute the given values

[tex](3\sqrt{10})^2=ER^2+9^2[/tex]

solve for ER

[tex]ER^2=(3\sqrt{10})^2-9^2[/tex]

[tex]ER^2=90-81\\ER^2=9\\ER=3\ units[/tex]

Part 5) Find DF

we know that

In the right triangle DRF

Applying the Pythagorean Theorem

[tex]DF^2=DR^2+RF^2[/tex]

substitute the given values

[tex]DF^2=27^2+9^2[/tex]

[tex]DF^2=810\\DF=\sqrt{810}\ units[/tex]

simplify

[tex]DF=9\sqrt{10}\ units[/tex]

Part 6) Find DE

we know that

[tex]DE=DR+RE[/tex] ----> by segment addition postulate

we have

[tex]DR=27\ units\\RE=ER=3\ units[/tex]

substitute

[tex]DE=27+3=30\ units[/tex]

Answer:

f(2)=19

Step-by-step explanation:

If *=x, f(2)=2(3^2)+1=2*9+1=18+1=19

Answer:

  $39.80

Step-by-step explanation:

If the price is reduced by 40%, it is 100% -40% = 60% of what it was. If 7% tax is added to that, the result is 100% +7% = 107% of the sale price. The final price is ...

  $62 × 0.60 × 1.07 = $39.80

Answer:

the answer is x=-1 and y=9. Hope this helps!

PLEASE GIVE BRAINLEST

Answer:

El encuentro se producirá a 240 km de Morelia

Step-by-step explanation:

Velocidades Relativas

Este es un caso donde las velocidades son sumativas, pues ambos móviles van a su encuentro mútuo. La distancia total de 660 km será cubierta por ambos móviles con una velocidad relativa de 70 km/h + 40 km/h = 110 km/h

Ya que :

[tex]\displaystyle v=\frac{x}{t}[/tex]

Tenemos que

[tex]\displaystyle t=\frac{x}{v}[/tex]

[tex]\displaystyle t=\frac{660}{110}= 6 \ h[/tex]

Tomás anda a 70 km/h, así que en 6 horas recorre

[tex]x_t=6\times 70 = 420\ Km[/tex]

Claudia anda a 40 km/h, así que en las mismas 6 horas ha recorrido

[tex]x_c=6\times 40 = 240\ Km[/tex]

Se puede decir entonces, que el encuentro se producirá a 240 km de Morelia

Answer:

       [tex]\large\boxed{\large\boxed{240km}}[/tex]

Explanation:

Since the question is in Spanish, I will give you the answer in Spanish.

En el punto de encuentro las distancias recorridas por Tomás y Claudia suman la distancia que existe entre Ixtapa y Morelia.

La distancia que recorre cada uno es igual al producto de su velocidad por el tiempo de recorrido.

         [tex]distancia=velocidad\times tiempo\\ \\ d_{Tomas}=70km/h\times t[/tex]

          [tex]distancia=velocidad\times tiempo\\ \\ d_{Claudia}=40km/h\times t[/tex]

Los tiempos, [tex]t[/tex] , son los mismos al momento de encuentro, así que puedes crear una ecuación con una sola incógnita:

           [tex]d_{Tomas}+d_{Claudia}=660Km=70km/h\times t+40km/h\times t[/tex]

Puedes obviar las unidades para resolver la ecuación:

         [tex]660=70t+40t\\ \\ 660=110t\\ \\ 660/110=t\\ \\ 6=t\\\\ t=6[/tex]

El resultado es en horas: t = 6 horas.

         [tex]d_{Claudia}=40km/h\times t=40km/h\times6h=240km[/tex]

Y esa es la respuesta. Se encontrarán a 240 km de Morelia.

Answer:

36.

Step-by-step explanation:

6 times 6 equals 36.

Answer:

$219.00.

Step-by-step explanation:

January 1, 10 units @ $8 (10 x 8)          = $80

January 18, 50 units @ $9 (50 x 9)      = $450

February 20, 20 units @ $11 (20 x 11)  = $220

March 15, 10 units @ $12 (10 x 12)        = 120

Ending Inventory = 19 unit

Ending Inventory = (10 x12) + (9 x 11) = $219

Answer:

$219.00 (or $220.00 because it's closest option to $219.00)

Step-by-step explanation:

Answer:

16 ounces

Step-by-step explanation:

The answer is option C. 16 ounces.

The most accurate measurement of 1 pound would be 16 ounces, because, by definition, there are 16 ounces in 1 pound.

Among the options provided:

A. 6 ounces: This is less than 1 pound.

B. 20.099 ounces: This is more than 1 pound.

C. 16 ounces: This is equal to 1 pound.

D. 10 ounces: This is less than 1 pound.

So, the most accurate measurement of 1 pound is 16 ounces.

One pound is most accurately measured as 16 ounces. This is because the imperial system defines one pound as equivalent to 16 ounces.

The question is:

Which is the most accurate measurement of 1 pound? (Remember, there are 16 ounces in a pound.)

A. 6 ounces

B. 20.099 ounces

C. 16 ounces

D. 10 ounces

answer:

1/10 as a fraction or if you want it as a decimal it would be 0.1

step-by-step explanation:

-4(x-4)- 3=12+6x after seeing you multiply -4 by x and -4

and you would get

-4x+0-3=12+6x and then you distribute all the way and you would get

1/10 or if you dont want a fraction and want a decimal is would be 0.1

Answer:

x=1/10 or x=0.1

Step-by-step explanation:

Multiply the parenthesis by 4 (-4x+16-3=12+6x)then subtract the numbers (16-3=13) then move the variable to the left side and change its sign (-4-6x+13=12 to -4x-6x=12-13) then add the terms (-4x-6x=12-13 to -10x=12-13) and get the difference (-4x-6x=12-13 to -10x=-1) then divide bothe sides of the equation by -10 then your answer would be x=1/10

Answer:

10,000

Step-by-step explanation:

_ _ _ _

10 options for each position

10×10×10×10 = 10000

Answer:

210 combinations.

Step-by-step explanation:

We have 10 total digits (0-9) and we only use 4 at a time. We can use the permutation formula [tex]\frac{n!}{k!(n-k)!}[/tex], and plug in 10 for n and 4 for k. This is called:

n choose k.

Plug the values in, and we get 210 permutations for the password.

Answer:

About [tex]9,693,180\ liters[/tex]

Step-by-step explanation:

we know that

The volume of the tank is equal to the volume of a cylinder plus the volume of hemisphere

so

[tex]V=\pi r^{2}h+\frac{2}{3}\pi r^{3}[/tex]

where

[tex]r=10.5\ m\\h=21\ m\\\pi=3.14[/tex]

substitute

[tex]V=(3.14)(10.5)^{2}(21)+\frac{2}{3}(3.14)(10.5)^{3}[/tex]

[tex]V=7,269.885+2,423.295=9,693.18\ m^3[/tex]

Convert to liters

[tex]1\ m^3=1,000\ L[/tex]

therefore

The volume is equal to

[tex]9,693.18(1,000)=9,693,180\ liters[/tex]

The volume of the cylinder is [tex]1539 cm^3[/tex]

Step-by-step explanation:

The volume of a cylinder is given by the equation

[tex]V=\pi r^2 h[/tex]

where

[tex]\pi r^2[/tex] is the area of the base, with r being the radius

h is the height

For the cylinder in this problem we know:

h = 10 cm (height)

c = 44 cm (circumference of the base)

The circumference is given by

[tex]c=2\pi r[/tex]

So the radius is

[tex]r=\frac{c}{2\pi}=\frac{44}{2\pi}=7 cm[/tex]

Therefore, the volume of the cylinder is:

[tex]V=\pi (7)^2 (10)=1539 cm^3[/tex]

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Yo sup??

a5=a+4d

a10=a+9d

a20=80=a+19d

a+4d+a+9d=a+19d

a=6d

80=6d+19d

80=25d

d=3.2

a=19.2

a30=a+29d

=19.2+92.8

=112

Hope this helps.

The ratios 26:169 and 36 to 78, when expressed as fractions in simplest form, are 2/13 and 6/13, respectively, after identifying and dividing by their greatest common factors.

The task is to express each ratio as a fraction in its simplest form. Let's tackle each ratio one at a time.

A. 26:169

To convert the ratio 26:169 into a fraction in simplest form, we observe that both numbers are divisible by their greatest common factor (GCF), which is 26. Dividing both terms by 26, we get 1/6.5. However, to express this in terms of whole numbers, multiplying numerator and denominator by 2 gives us 2/13, which is the fraction in its simplest form.

B. 36 to 78

For the ratio 36 to 78, first, we convert it into fraction form, which is 36/78. The GCF of 36 and 78 is 6. Dividing both the numerator and the denominator by 6, we get 6/13. Therefore, the simplest form of the ratio 36 to 78 is 6/13.

Answer:

1.) Ferris wheel

Step-by-step explanation:

Answer:$200 per month is spent.

Step-by-step explanation:

$2400 divided by 12 = $200

The amount of debt remaining as Catherine pays off her $2400 loan over 12 months is expressed by the function D(t) = 2400 - 200t, where t is the time in months.

Catherine is paying off a $2400 loan by making equal payments over a 12-month period until the loan is paid. To express the amount of debt remaining as a function of time in months, let's denote the amount of debt remaining as D(t), where t is the time in months.

Since she is making equal payments over 12 months, the total amount she needs to pay each month is $2400 divided by 12 months, which is $200 per month. Therefore, the function that represents the amount of debt remaining at any time t is given by : D(t) = 2400 - 200t

This linear function shows that for each month that passes, $200 is subtracted from the original loan amount of $2400, representing the payments made towards the loan. Thus, after t months, the amount of debt remaining is calculated by subtracting $200 times the number of months from the initial loan amount.

Answer:

b is right on plato

Step-by-step explanation:

Answer: Correct answer is B

Step-by-step explanation:

Answer:

24 hours

Step-by-step explanation:

Answer: yes

Step-by-step explanation:

2(4)=8

Yes, 4 is a solution of 2x = 8

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation.

Given,

4 is solution of 2x = 8,

Then, putting x = 4

2(4) = 8

8 = 8

LHS = RHS

Hence, 4 is a solution of 2x = 8.

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