What is the solution to the system of equations below?

y = three-fourths x minus 12 and y = negative 4 x minus 31

Answer:

D. 5 and 14

Explanation:

5,8,11,14

Answer:

-9

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

-8 +___= - 17

___=-17 +8

___=-9

=-9

Answer:Monday, Wednesday and Friday.

Step-by-step explanation:

It’s the other weekdays.

Step-by-step explanation:

0.484848 =x

x=0.48-------1

100x=48.48-----2

2-1

100x-x =48.48-0.48

99x= 48

x =48/99

[tex]x = \frac{48}{99} \\ x= \frac{48 \div 3}{99 \div 3} \\ x = \frac{16}{33} [/tex]

Answer:

1.-dh/dt  =  5.31*10⁻⁵ m/seg

2.-dh/dt =   1.99*10⁻⁵  m/seg

3.-dh/dt  =  1.59*10⁻⁴  m/seg

Step-by-step explanation:PREGUNTA INCOMPLETA NO SE INDICAN LAS FORMAS DE LOS TANQUES.

Asumiremos que los tres tanques son:

el primero cilindro recto     de  Vc = π*r²*h      ( r es radio de la base y h la altura)

el segundo asumiremos que es eliptico recto de Ve = π*a*b*h aqui a y b son los ejes de la elipse y h la altura

El tercero es un cono invertido Vco  = 1/3 *π*r²*h  ( r es el radio de la base.

1.-Caso del cilindro

Vc = π*r²*h

Derivando en ambos miembros de la expresión tenemos:

dV(c) / dt  = π*r²*dh/dt

Sustituyendo

1.5 Lts/seg =  3.14 * (3)²*dh/dt  

1.5/1000 m³/seg  =  28.26 m² dh/dt

1.5/ 28260 m  =  dh/dt

Despejando dh/dt

dh/dt  =  1.5 / 28260    =  5.31*10⁻⁵ m/seg

dh/dt  =  5.31*10⁻⁵ m/seg

2.-La elipse

Ve  = π*a*b*h  

Aplicando el mismo procedimiento tenemos:

DVe/dt  =  1.5 Lts/seg  =  π* 6*4* dh/dt

1.5 /1000   =  75.36 *dh/dt

dh/dt =  1.5 / 75360  m/seg

dh/dt =   1.99*10⁻⁵  m/seg

3. El cono invertido

Vco = (1/3)*π*r²*h

DVco/dt =  (1/3)*π*r²*dh/dt

1.5/1000  =  9.42 *dh/dt

dh/dt  =  1.5/9420

dh/dt  =  1.59*10⁻⁴  m/seg

Answer:

4,895 containers

Step-by-step explanation:

The number of the wooden closed cylinders to be painted, n = 200

The diameter of each cylinder, d = 35 mm = 3.5 cm

The height of each cylinder, h = 7 cm

The surface area of each closed cylinder, A = 2·π·d²/4 + 2·π·(d/2)·h

Where, π = 3.142, we get;

A = 2 × 3.142 × 3.5²/4 + 2 × 3.142 × (3.5/2) × 7 = 96.22375

The surface area of each cylinder, A = 96.22375 cm²

The total surface area, [tex]A_T[/tex] = n × A

∴ [tex]A_T[/tex] = 200 × 96.22375 = 19,244.75

The total surface area that needs to be painted, [tex]A_T[/tex] = 19,22375 cm²

7. The base diameter of the tank, d₁ = 2.4 m = 240 cm

The height of the tank, h₁ = 6.4 m = 640 cm

The base radius of each cylinder container, r = 8.2 cm

The height of each cylindrical container, h₂ = 28 cm

The number of cylindrical containers which can be filled by the oil in the tank, n, is given as follows;

n = (The volume of the tank)/(The volume of a cylinder)

The volume of the tank, V₁ = π·(d²/4)·h₁

∴ V₁ = π × (240²/4) × 640 = 9216000·π

The volume of the tank, V₁ = 9216000·π cm²

The volume of a cylinder, V₂ = π·r²·h₂

∴ V₂ = π × 8.2² × 28 = 1,882.72·π

The volume of a cylinder, V₂ = 1,882.72·π cm²

The number of containers, n = 9216000·π/1882.72·π ≈ 4,895.045

Therefore, the number of complete cylindrical containers that can be filed by the oil in the tank, n = 4,895 containers

Answer:

6) About 19,244.75 square centimeters.

7)  About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

Then the total surface area for 200 cylinders will be:

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

Since r = 1.2 and h = 6.4:

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

Answer:

14 students walk

Step-by-step explanation:

40 total

22 girls

18 boys - 7 boys who cycle = 11 boys - 6 who take the bus. That leaves 5 boys who walk.

9 girls walk

5 + 9 = 14 total.

Answer:

[tex]P(Atleast\ 1) = 0.9999992[/tex]

Step-by-step explanation:

Given

[tex]p = 3\%[/tex] --- rate of hard disk drives failure

[tex]n = 4[/tex] --- number of hard disk drives

See comment for complete question

Required

[tex]P(Atleast\ 1)[/tex]

First, calculate the probability that the none of the 4 selected is working;

[tex]P(none) = p^4[/tex]

[tex]P(none) = (3\%)^4[/tex]

[tex]P(none) = (0.03)^4[/tex]

Using the complement rule, the probability that at least 1 is working is:

[tex]P(Atleast\ 1) = 1 - P(none)[/tex]

This gives:

[tex]P(Atleast\ 1) = 1 - 0.03^4[/tex]

[tex]P(Atleast\ 1) = 0.9999992[/tex]

Answer:

The 2nd one

Step-by-step explanation:

Did the test

Answer:

Increasing

Step-by-step explanation:

Decreasing means that its moving down (from the right) and Increasing means that its moving up (from the right), while constand means that it goes in a straight line.

Since it is moving up from the right, that means it's increasing.

The slope is positive, then the graph is increasing. Then the correct option is A.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The graph is given below.

The line is passing through origin.

At x = 1, the value of y will be 3.

Then the slope will be

m = 3 / 1

m = 1

Then the equation of line will be

y = 3x

The slope is positive.

Then the graph is increasing.

Then the correct option is A.

More about the equation of line link is given below.

https://brainly.com/question/21511618

#SPJ2

Answer:

2x-4+14=26    add -4+14 this will give you +10

2x+10=26       subtract 10 on both side this will give you 16

2x=16        divide by 2 on both side this will give you 8

x=8

Step-by-step explanation:

Answer:

4,4,5,7,10

Step-by-step explanation:

this can be

4,4,5,7,10

5 is in the middle because 5 is median

4 appeared thrice cause it is the mode

and 10 is just there to give us our mean 6 because it is only 30/5 that gives 6 so we have to find 5 numbers whose sum gives 30

Answer:

The 5 numbers can be: 4, 4, 5, 8, 9.

Step-by-step explanation:

In 4, 4, 5, 8, 9.     5 is the median (The middle number).

The mode is 4 because 4 is the most repeated number.

(4+4+5+8+9)/5 is equal to 30/5 which equals 6. So, 6 is the mean.

Hope this helps! :)

Answer:

a) 6

b) 12:35 ( not so sure about this one)

Step-by-step explanation:

a)

distance = speed * time

ruths distance = 4* 1.5 (because it takes her 1h 30 mins)

distance = 6miles    

b)  1/4 here is quarter so, 15mins

10:30 and then add 50 mins to that.

     she leaves at 11:20 and takes 1h and 15 mins ( 75mins) to walk home

     so 11:20 + 1h 15min

     = 12:35

hope this helps :)

Answer:

a) 6 miles

b) 12:35 pm

Step-by-step explanation:

a) 9 am to 10:30 am = 1 hour and 30 mins = 1.5 hours

4mph x 1.5 = 6miles

b) 10:30 am + 50 mins = 11:20 am

1 hour = 60 mins

60/4 = 15 mins

1 1/4 = 1 hour 15 mins

11:20 am + 1 hour 15 mins = 12:35 pm

Answer:

i don't see anything so i cant help you sorry

Step-by-step explanation:

Answer:

4 number

Step-by-step explanation:

16p+32q=1,280

Answer:

The answer is "[tex]\bold{\$1160}[/tex]"

Step-by-step explanation:

Calculating total paid money:

[tex]= \$4000 \times 101\% \\\\= \$4000 \times \frac{101}{100} \\\\=\$40 \times 101\\\\=\$4040[/tex]

[tex]\text{Total received money = Principle on Maturity + Interest for 5 years}[/tex]

                                   [tex]= \$4000 + \$4000\times 6\% \times 5 \\\\= \$4000 + \$4000\times \frac{6}{100} \times 5 \\\\= \$4000 + \$40 \times 6 \times 5 \\\\= \$4000 + \$40 \times 30 \\\\= \$4000 + \$1200 \\\\= \$5200 \\\\[/tex]

Total earnings over the life of the corporate bond

[tex]= \$5200 - \$4040 \\\\=\$1160[/tex]

Answer:

y'=3x^2+34x+72

Step-by-step explanation:

I see this has no answer and it might be too late.

It's asking us to find dy/dx, after taking log of both sides and apply any useful properties of log.

Take log of both sides:

log(y)=log[x(x+8)(x+9)]

Apply product rule of logarithms on right:

log(y)=log(x)+log(x+8)+log(x+9)

Now differentiate both sides:

y'/y=1/x+1/(x+8)+1/(x+9)

Multiply both sides by y:

y'=y(1/x+1/(x+8)+1/(x+9))

Replace y with x(x+8)(x+9) -> this is from the given equation:

y'=x(x+8)(x+9)(1/x+1/(x+8)+1/(x+9))

Distribute:

y'=(x+8)(x+9)+x(x+9)+x(x+8)

Multiply/distribute some more:

y'=x^2+17x+72+x^2+9x+x^2+8x

Combine like terms:

y'=3x^2+34x+72

Answer:

the answer is 2

Step-by-step explanation:

it doesn't match the other  but is 2  

Answer:

y is 4

Step-by-step explanation:

x is 3

y is 4 coordinate is (3,4)

Answer:

4

Step-by-step explanation:

Answer:

113,04 square root is 10.632027088 divided by Pi

3.38427933228

so the radius of her tire is 3.38

Hope This Helps!!!

Answer:

6:9 ÷3

2:3

Step-by-step explanation:

1st write the ratio then simplify it with dividing with the Highest common factor on both sides

The equation of the line is y + 1 = 3(x - 2).

The correct option is (3).

Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.

As per the given data:

The line passes through the point (2, -1)

slope of the given line is 3

By using the slope intercept form of line:

y = mx + c

where m is the slope

c is the y intercept

The line passes through the point (2, -1) so substituting the point in the equation also m = 3

y = 3x + c

-1 = 3(2) + c

c = -7

The equation of the line now can be written as:

y = 3x - 7

y + 1 = 3x - 7 + 1

y + 1 = 3(x - 2)

Hence, the equation of the line is y + 1 = 3(x - 2).

To learn more about equation, click:

brainly.com/question/10413253

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Answer: C

Step-by-step explanation: A straight angle is 180 degrees:

180-130 = 50

Triangle angles equal up to 180.

50 + 2y =180

y =65

SUM OF INTERIOR OPPOSITE ANGLES = EXTERIOR ANGLE .

[tex]130 = y + y \\ 130 = 2y \\ \frac{130}{2} = y \\ \frac{ \cancel{130}^ { \tiny \: \: \: \: 65} }{ \cancel{2}} = y \\ y = 65 \degree[/tex]

Answer:

I wanna say its B. Vera's only

Answer:Para preparar la tabla de frecuencia para un histograma, es necesario primero establecer el número de intervalos que se desea tener.

Luego, se debe determinar el ancho común de los intervalos (interval width). Para esto, se calcula la diferencia del dato mayor y el dato menor, y se divide entre el número de intervalos deseados. Este resultado se redondea al entero mayor más cercano.

Por ejemplo, si se desea tener 10 intervalos y encontramos que el dato mayor es 35 y el menor es 12,

Step-by-step explanation:

Answer:

On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0). Step-by-step explanation: If a trapezoid is dilated with a scale factor between 0 and 1, the resulting trapezoid will look smaller than the original trapezoid.

Step-by-step explanation:

Answer:

(f + g)(x) = 5x - 3

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= 2x + 4 + 3x - 7 ← collect like terms

= 5x - 3

Answer:

5x - 3

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

= 2x + 4 + ( 3x - 7 )

= 5x - 3

Answer:

x = 3

Step-by-step explanation:

2(5x - 3) = 24

Divide both sides by 2.

5x - 3 = 12

Add 3 to both sides.

5x = 15

Divide both sides by 5.

x = 3