The amount, in dollars, of Marisa’s savings account can be represented by the expression 5x+40. Marisa saved the same amount x each month for a period of 5 months. Her mother contributed an additional amount each month to Marisa’s savings account. How much did her mother contribute each month?

Answer:

8.89

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

Answer:

xmdmkspwkwkpwmannsjsk

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:

oof  we just went over that

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

diffusion is move from high to low

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:

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:

-3.25

Step-by-step explanation:

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

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:

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:

28 is the answer

Step-by-step explanation:

Answer:

140 teenagers attended the game.

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

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: 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.

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.

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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]

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:

476

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:

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:

The Y-intercept of y=1/5x+4 would be y=4. And the X-intercept would be x=-20

Step-by-step explanation:

the slope (m) of the line y = (1/5)x + 4 is 1/5, indicating an upward slope, and the y-intercept (b) is 4,

In the equation y = (1/5)x + 4, the coefficient of x, 1/5, represents the slope of the line. The slope (m) is the ratio of the vertical change to the horizontal change between any two points on the line. In this case, the slope is 1/5, which means that for every unit increase in x, the y-value increases by 1/5.

The constant term, 4, represents the y-intercept (b). The y-intercept is the point where the line intersects the y-axis. In this equation, the y-intercept is 4, which means that the line crosses the y-axis at the point (0, 4).

To summarize, the slope (m) of the line y = (1/5)x + 4 is 1/5, indicating an upward slope, and the y-intercept (b) is 4, representing the point where the line crosses the y-axis.

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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:

Step-by-step explanation:

let the number of sale be x

let the total amount earned be y

The first job

7% of x= 0.07x

y=0.07x----------------1

The second job

$330

3% of x= 0.03x

y=330+0.03x-------------2

equating 1 and 2 we have

0.07x=330+0.03x

solving for x we have

330=0.07x-0.03x

330=0.04x

divide both sides by 0.04 we have

330/0.04=x

x=8250

you must make 8250 sale in a week

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:

your answer is y= 10x+50

Step-by-step explanation:

just bc