Examine this system of equations. What integer should the first equation be multiplied by so that when the two equations are added together, the x term is eliminated? StartFraction 1 Over 18 EndFraction + four-fifths y = 10 Negative five-sixths x minus three-fourths y = 3

Answer:

Necesitamos una fuerza de 155.556 newtons para el émbolo pequeño.

Step-by-step explanation:

Podemos resolver este problema a través del Principio de Pascal, el cual establece que la presión se transmite por igual a través de un sistema cerrado, el cual está representado por el fluido hidráulico del elevador. Asimismo, quiere decir que la presión hidrostática sobre el émbolo pequeño y la presión sobre el émbolo grande son iguales. Entonces:

[tex]p_{1} = p_{2}[/tex] (Eq. 1)

Donde:

[tex]p_{1}[/tex] - Presión sobre el émbolo grande, medido en pascales.

[tex]p_{2}[/tex] - Presión sobre el émbolo pequeño, medido en pascales.

Por la definición de presión tenemos que la fuerza aplicada sobre el émbolo pequeño ([tex]F_{2}[/tex]), medida en newtons:

[tex]\frac{F_{1}}{\frac{\pi}{4}\cdot D_{1}^{2}} = \frac{F_{2}}{\frac{\pi}{4}\cdot D_{2}^{2}}[/tex]

[tex]F_{2} = \left(\frac{D_{2}}{D_{1}} \right)^{2}\cdot F_{1}[/tex] (Eq. 2)

Donde:

[tex]F_{1}[/tex] - Fuerza aplicada sobre el émbolo grande, medida en newtons.

[tex]D_{1}[/tex], [tex]D_{2}[/tex] - Diámetros de los émbolos grande y pequeño, medidos en metros.

Si sabemos que [tex]F_{1} = 35000\,N[/tex], [tex]D_{1} = 0.30\,m[/tex] y [tex]D_{2} = 0.02\,m[/tex], entonces la fuerza necesaria para el émbolo pequeño es:

[tex]F_{2} =\left(\frac{0.02\,m}{0.30\,m} \right)^{2}\cdot (35000\,N)[/tex]

[tex]F_{2} = 155.556\,N[/tex]

Necesitamos una fuerza de 155.556 newtons para el émbolo pequeño.

Answer:

8.89

Step-by-step explanation:2.45+2.45=4.90 and 4.90+399=8.89

Answer:

15.67

Step-by-step explanation:

14+1.67=15.67

Answer:

28 is the answer

Step-by-step explanation:

Answer:

your answer is y= 10x+50

Step-by-step explanation:

just bc

Answer:

27/220

Step-by-step explanation:

With regards to the above, Pita would have to pick 2 pound coins and 1 50p coin to get £2.50

Then, the probability of picking 1 pound then 1 pound, then 50 Pound

= 3/12 × 2/11 × 9/10

= 9/220

It therefore means that the number of arrangement possible of 2 pounds and 1 50 pounds

= £ - £ - 50 , £ - 50 - £ and 50 - £ -£

= 3

Hence, the required probability

= 3 × 9/220

= 27/220

From the equation y = 6x -2, we can get (by plugging in x = 0 and y = 0) 2 points:

y = 6(0) - 2 --> y = -2 --> (0, -2)

0 = 6x - 2 --> 2 = 6x --> 1/3 = x --> (1/3, 0)

We can plot those 2 points to get the graph shown.

The graph will show a line that starts from the point (0, -2) and increases as we move to the right

To graph the line with the equation y = 6x - 2, we can plot a few points and connect them to form a line. Here are a few points that satisfy the equation:

When x = 0, y = 6(0) - 2 = -2. So, we have the point (0, -2).

When x = 1, y = 6(1) - 2 = 4. So, we have the point (1, 4).

When x = -1, y = 6(-1) - 2 = -8. So, we have the point (-1, -8).

We can plot these points on a coordinate plane and draw a line passing through them.

The graph will show a line that starts from the point (0, -2) and increases as we move to the right. The slope of 6 indicates that for every increase of 1 in the x-coordinate, the y-coordinate increases by 6. The line has a positive slope, moving upward from left to right.

Learn more about graph here

https://brainly.com/question/28229685

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Answer: Change he would get = 50-  40p

Joshua will receive $48.8 if he buys three pounds of banana.

Step-by-step explanation:

Given: Cost per pound of banana = 40 cents= 0.40 dollars  [1 cent = 0.01 dollar ]

Number of pounds bought = p

Now, total price need to pay = (Cost per pound of banana) x (Number of pounds bought ) = 0.40p

Now, He pays the clerk with a fifty-dollar bill.

So, the change he would get = 50-  0.40p  , which is the required expression.

When p= 3

then, change he would get = 50-0.4(3)=50-1.2 = $48.8

Joshua will receive $48.8 if he buys three pounds of banana.

Answer:

C

Step-by-step explanation:

I cant see the whole thing but if graph C starts from the origin or point 0,0 its proportional.

Answer:

Step-by-step explanation:

The direct variation is defined as

where, k is constant of proportionality.

It is given that a direct variation function contains the points (-8,-6) and (12, 9).

Substitute x=-8 and y=-6 in the above equation.

Divide both sides by -8.

The value of constant of proportionality is . So, the required equation is

At x=12,

It means, the line passing through (12,9). Hence, the equation is correct.

Therefore, the equation of the function is .

Answer:

C

Step-by-step explanation:

Answer:

the number of​ 30-day periods until the value of the gift cards will be equal is 40

Step-by-step explanation:

Let

x = each 30-day period

Tavon has a gift card for $95 that loses $2 for each​ 30-day period it is not used.

95 - 2x

He has another gift card for $75 that loses $1.50 for each​ 30-day period it is not used

75 - 1.50x

Equate both expression for the number of​ 30-day periods until the value of the gift cards will be equal.

95 - 2x = 75 - 1.50x

95 - 75 = -1.50x + 2x

20 = 0.50x

x = 20/0.50

= 40

x = 40

Answer:

oof  we just went over that

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

diffusion is move from high to low

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 3 and c = 7 , thus

y = - 3x + 7 ← equation of line

Answer:

Answer is A: 12

Step-by-step explanation:

Did the quiz.

wanted to help people.

Answer:A -12 per month

Step-by-step explanation:Did the test

Answer: 7.5%

Step-by-step explanation:

Given: Principal amount = $15,000

Time =- 2 years

Final Amount (Principal + interest)= $17,250

Interest = Final Amount - Principal amount

= $ ( 17250 - 15000  )

= $ 2250

Formula for interest : principal x rate x time

[tex]2250=15000\times rate \times 2\\\\\Rightarrow\ rate =\dfrac{2250}{15000\times2}\\\\\Rightarrow\ rate =0.075\\\\\Rightarrow\ rate =0.075\times100\%=7.5\%[/tex]

Hence, the simplest interest rate on lukes loan =7.5%

Answer:

Step-by-step explanation:

[tex]f(x)=x^2-12x+46\\a=1\,,\ \ b=-12\\\\[/tex]

Vertex form of an equation of a quadratic function: f(x)=a(x-h)²+k, where vertex is (h, k) and:

[tex]h=\dfrac{-b}{2a}\,,\ \ k=f(h)\\\\\\h=\dfrac{-(-12)}{2\cdot1}=\dfrac{12}{2}=6\\\\k=f(6)=6^2-12\cdot6+46=36-72+46=10[/tex]

Unit Rate = 3 dollars/pound

D P

3 1

6 2

12 4

Unit Rate = 1/3 dollars/pound

p = 3d

Unit Rate = 9 dollars/pound

1/3 dollars/pound

&

D P

1    1/9

9     1

18    2

Answer:

476

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

no you do not get the same answer

This is the order in which you should approach problems, doing otherwise may lead to a wrong answer

P - parenthesis -- meaning solve whatever is the the parenthesis

E - exponents -- an example of an exponent is [tex]2^{3}[/tex] which equals 8

MD - multiplication/division

AS - addition / subtraction

for our particular problem, we have

9 + 2(3)

multiplication trumps addition thus we perform multiplication first

9 + 6 = 15 ---CORRECT

if we were to addition first we would get

9 + 2(3) = 11(3) = 33 This would be WRONG

note: multiplication and division are on the same level

         subtraction and addition are on the same level

if you encounter a problem like 4 ÷ 2 * 3. perform the calculation from left to right thus we would have 4 ÷ 2 = 2 and then 2 * 3 = 6

same applies for addition subtraction

Answer:

D.

Step-by-step explanation:

10 and 21 both do not have a common factor which means that a isn't the answer. 6 and 7 also don't have a common factor which means that b isn't the answer. 3 and 5 don't have a common factor which means c isn't the answer. 4 and 6 have a common factor of 2 which means that is the answer. The fraction could be simplified to 2/3.

Hope this Helped!!! :)

Answer:

16 °C

Step-by-step explanation:

We are told that Ken predicts that, in August, the average low temperature will be 20°C, and that the temperature will drop by 4°C in September.

Now, in a standard 12 month calendar, the month of August comes before the month of September.

Thus, in September a drop off by 4°C from 20°C means that the new temperature in September is; 20°C - 4°C = 16 °C

Answer:

16

cause why not

Answer:

-3.25

Step-by-step explanation:

Just plug then in 2(1/2)+3(1/4)-5

Answer:

decrease

Step-by-step explanation:

theres less bars on y than x so it went down

Answer:

140 teenagers attended the game.

Answers:

There are eight items in that list above.

===================================

Explanation:

We'll use the AC method of factoring.

The first term has coefficient 3. The last term is -8. Multiply them to get 3*(-8) = -24.

Now let's list all the ways to multiply two integers to get -24

For each pair of factors listed, we'll add up those pairs. Each sum we get represents a possible value of k

Note the symmetry. For instance we have 10 as one sum and -10 as another sum.

-------------------------------

Let's go over an example. Let's say that k = 10

The expression 3x^2+kx-8 turns into 3x^2+10x-8

From the list above, we see that -2+12 = 10. So the two values -2 and 12 will help us factor.

Break up the 10x into -2x+12x and then factor by grouping like so

3x^2 + 10x - 8

3x^2 - 2x + 12x - 8

(3x^2 - 2x) + (12x - 8)

x(3x-2) + (12x - 8)

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

(x+4)(3x-2)

Therefore, 3x^2 + 10x - 8 factors into (x+4)(3x-2)

We can use the FOIL rule, distribution, or the box method to confirm this.

I'll let you try out other values of k to see how 3x^2+kx-8 factors.

Answer:

You are 15,379.

Step-by-step explanation:

18/2=9

14/2=7

6/2=3

and it has to be in the 15,000s.

Hope this helped!!

Answer:

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