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Given :

Last year during the hurricane season the amount of rain that fell on the Texas gulf coast in October was 14 inches which was 3 1/2 times more than the rainfall during the month of September.

To Find :

Amount of rainfall in September.

Solution :

Let, amount of rainfall in September is x.

It is given that rainfall in October is 3 1/2 = 7/2 times of september.

So,

[tex]\dfrac{7}{2}x=14\\\\x = 4\ inches[/tex]

Therefore, rainfall in October is 4 inches.

Hence, this is the required solution.

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up equation

8x + 2 + 70 + 60 = 180

Step 2: Solve for x

And we have our final answer!

Answer:

Dylan sold 48 bottles

Juan sold 32 bottles

Step-by-step explanation:

The ratio of bottles sold is;

J:D = 4:6

Dylan sold 16 more than Juan

That means d = j + 16

so;

j/j + 16 = 4/6

6j = 4(j + 16)

6j = 4j + 64

6j - 4j = 64

2j = 64

j = 64/2

j = 32

d = j + 16

d = 32 + 16

d = 48

Answer:

6c - 8d = 2 (3c - 4d)

Step-by-step explanation:

Factoring

To factor a polynomial, we must find the Greatest Common Divisor (GCD) among all its terms.

The expression to factor is 6c - 8d.

The GCD is found by factoring all terms:

6c : 2,3,c

8d : 2,2,2,d

And take the common divisor between the coefficients and the variables

GCD=2

Thus, the factorization is:

6c - 8d = 2 (3c - 4d)

Answer:

Arithmetic

Step-by-step explanation:

5-4=1

1-4=-3

-3=4=-7

Answer:

17

Step-by-step explanation:

5×5-8

5×5= 25

25-8=17

Answer:

the answer is on the picture

Step-by-step explanation:

a = 1 and b = [tex]\frac{1}{2}p\\[/tex]

(1-  [tex]\frac{p}{2}[/tex]) [tex]\frac{1}{4}[/tex] (4+ 2p +p^2)

Answer:

c. [tex] y + 2 = -3(x - 1) [/tex]

Step-by-step explanation:

By using a point on the line and the slope, we can determine the equation, in point-slope form, that is graphed in the figure.

Using two points, (1, -2) and (0, 1),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{0 - 1} = \frac{3}{-1} = -3 [/tex]

m = -3

Using a point, (1, -2) and the slope (m), we can create an equation for the graph in point-slope form, by substituting x1 = 1, y1 = -2 and m = -3 in [tex] y - y_1 = m(x - x_1) [/tex].

Thus, we would have:

[tex] y -(-2) = -3(x - 1) [/tex]

[tex] y + 2 = -3(x - 1) [/tex]

The equation that is graphed in the figure is:

✔️[tex] y + 2 = -3(x - 1) [/tex]

Answer:

5x+1

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question is not well-formatted, this is supposed to be the correct format

Gavin drank 4.5 liter of water Monday before going jogging. He drank 2.3 liter of water after his jog. How much water did Gavin drink altogether? Write your answer as a mixed number.

Given

we are told that he first drank 4.5 liters of water before jogging

after jogging he drank 2.3 liters

Required

Total amount of water drank

=4.5+3.5

=8.0liters

Responder:

y = 200x + 2000

Explicación paso a paso:

Deje que la ecuación lineal se exprese como y = mx + c

m es la pendiente

c es la intersección

Si la empresa produce $ 10 unidades, sus costos totales son $ 4000 dólares y si produce $ 15 unidades sus costos ascienden a $ 5000 dólares, entonces podemos representar esto como puntos de coordenadas;

(10,4000) y (15,5000)

Conseguir la pendiente

m = 5000-4000 / 15-10

m = 1000/5

m = 200

Obtener la intersección c

Sustituya m = 2000 y el punto (10, 4000) en la fórmula y = MX + c

4000 = 200 (10) + c

4000-2000 = c

c = 2000

Sustituya m = 200 y c = 2000 en la ecuación y = mx + c

y = 200x + 2000

Por tanto, la expresión lineal requerida es y = 200x + 2000

Answer:

When f(4) = 48, the 4 represents the number of floors and the 48 represents the number of workers needed.

Step-by-step explanation:

Just took the test

Answer:

-1.48148148

Step-by-step explanation:

-7 x -8 = 56

-7 x -4a = 28a

25-56=-31

27a/-31

a=-1.48148148

Answer: 5.5666667e+79

:)

Answer:

[tex]y=\frac{1}{3}x-3[/tex]

Step-by-step explanation:

Slope is 1/3 and the y intercept is (0,-3), if you plug these answers into slope intercept form (y=mx+b) you get this answer

Answer:42.8795

Step-by-step explanation: because their is a easier way. $44.90 - 4.5%=42.8795 i hope this helps you .

Step-by-step explanation:

in my opinion

5(2- 7x)

5×2 - 5×7x

= 10-35x

Answer:

See attached

Step-by-step explanation:

The answer is pictured below

Answer:

OKAY

Step-by-step explanation:

Answer:

Okay

Step-by-step explanation:

Answer:

Vertex is (-1/3, -13/3)

Axis of symmetry is x = -1/3

Step-by-step explanation:

For the vertex, you need to change it into vertex form which is y = a(x - h)^2 + k

Vertex form for this equation is:

Y = -6(x + 1/3)^3 - 13/3

To find the vertex, the formula is (h,k)

So, ( -1/3, -13/3)

Answer:

Approximately $2.232

Step-by-step explanation:

Given that:

Percentage increase in Price of chips = 12%

Approximate price of chips today = $2.50

Original price before the increase :

Let original price = y

(Original price) + (12% of original price) = approximate price today

y + (12% of y) = $2.50

y + 0.12y = 2.50

1.12y = 2.50

Divide both sides by 1.12

1.12y / 1.12 = 2.50 / 1.12

y = 2.2321428

y = $2.232

Hence, original price of chips is approximately $2.232

Answer: C -when the results of 100 trials were used in calculating the experiment probability

Step-by-step explanation:

Took the assessment right now

Answer:

Step-by-step explanation:

Answer:

Function 1 is linear

Step-by-step explanation:

A linear is a straight line on the graph.

Answer:

The number of minutes Evelyn played in the second half.

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

because if 3 circles wide is 30 in then 2circles wide is 20 and 30+30+20+20 =100

Answer: b.

Step-by-step explanation: