4) A meteorologist found that the rainfall in Fairfax during the first half of the month was
1 1/15 inches. At the end of the month, he found that the total rainfall for the month was 3
inches. How much did it rain in the second half of the month?
4) Write your answer as a fraction or as a whole or mixed number.

Answer:

20

Step-by-step explanation:

40 - 15 = 25

25/1.25=20

Answer:

S₁₀ = - 838860

Step-by-step explanation:

the first term a₁ = 4

r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{4}\) = - 4

substitute these values into \(S_{n}\) , then

S₁₀ = \(\frac{4-4(-4)^{10} }{1-(-4)}\)

     = \(\frac{4-4(1048576)}{1+4}\)

     = \(\frac{4-4194304}{5}\)

     = \(\frac{-4194300}{5}\)

     = - 838860

Answer:

3%percent of $375 is $11.25 and 20% of $56.25 is $11.25 .

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

hope this helps you lol

Answer:

volume = 3360 in³

Step-by-step explanation:

volume = 20 x 14 x 12 = 3360 in³

Answer:

D

Step-by-step explanation:

4√11 * 4√10

4√11*10 (4√ is like term or common)

4√110 ANS (10*11)

The length of the rectangular painting is equal to 76 cm.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The area of a rectangular painting is 4636 cm². The width of the painting is equal to 61 cm.

The length of the painting is calculated as,

Area of rectangle = Length x Width

4636 = Length x 61

Length = 4636 / 61

Length = 76 cm

The length is 76 cm for the rectangle.

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Answer:

B

Step-by-step explanation:

Answer:

b=100 c=80

Step-by-step explanation:

Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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Answer:

I gotchu

Step-by-step explanation:

Answer:

There are two ways to do this problem algebraically or trigonometrically.

Algebraically/geometrically

The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.

The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3

Using Trig.

We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).

Therefore, sin(pi/3) = 6/r =

r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3

The sine and cosine ratios for a 30°–60°–90° triangle with a hypotenuse of 6, when θ = 60° are  6√3 and 4√3.

This is defined as the longest side of a right-angled triangle and is opposite to the right angle.

The ratios of the sides of a 30/60/90 triangle are x, x√3, 2x (short leg, long leg, hyp). We can infer that the long leg is 6 'units' which is

6 = x√3

x = 6√3.

The hypotenuse is 2x then the hypotenuse is 2(6√3)

= 12√3 when rationalized

= 12√3/3 = 4√3.

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Answer: hello how has your day been

Step-by-step explanation:

Answer:

4/12

Step-by-step explanation:

if you look 6/12 wasn't simplified so I would guess that you would leave it as 4/12

Answer: 9.7 seconds

Step-by-step explanation:

\(16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7\)

El Sr negron tiene que redactar una serie de cartas en su oficina. A Lourdes le toma 6 horas pasar todas las cartas. A su compañera rosabel, le toma 9 horas en realizar la misma tarea. Si ambas trabajan juntas para hacer todo el trabajo d ela oficina,

a. Cuánto tiempo le tomará a ambas realizar el trabajo?

Answer:

3.6 horas

Step-by-step explanation:

Sea el número total de horas que ambos trabajaron = T

Deje que la cantidad total de letras por las que pasaron = 1

De la pregunta, se nos dice:

Lourdes necesitó 6 horas para revisar las cartas.

Esto significa que, cada 1 hora, Lourdes revisaba 1/6 de las letras

Rosabel tardó 9 horas en leer las letras.

Esto significa que, cada 1 hora, Rosabel revisó 1/9 de las letras

Por lo tanto,

(1/6 × 1) T + (1/9 × 1) T = 1

(1/6 + 1/9) T = 1

(3 + 2/18) T = 1

(18/5) T = 1

5T / 18 = 1

Cruz multiplicar

5T = 18

T = 18/5

T = 3.6 horas

Por lo tanto, les tomó a ambas 3.6 horas hacer el trabajo.

The number of combinations to define a 4-member committee will be 70.

Let 'x' be the number of things chosen out of 'n' number of things. Then the combination is given as,

ⁿCₓ = n! / [(n - x)! · x!]

And the permutation is written as,

ⁿPₓ = n! / [(n - x)!]

The committee of 4 people is chosen out of 8 people. Then the number of combinations is given as,

⁸C₄ = 8! / [(8 - 4)! · 4!]

⁸C₄ = (8 × 7 × 6 × 5 × 4!) / (4 × 3 × 2 × 1 × 4!)

⁸C₄ = (8 × 7 × 6 × 5) / (4 × 3 × 2 × 1)

⁸C₄ = 1680 / 24

⁸C₄ = 70

The number of combinations to define a 4-member committee will be 70.

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Answer:

UHHHHHHHHHHHHH

Step-by-step explanation:

Answer:

She gave 5/8 to Gary.

Step-by-step explanation:

1 3/8 as an improper fraction is 11/8. 11/8 - 6/8 is 5/8.

Answer:

5/8

Step-by-step explanation:

Turn a mixed number to an improper fraction: 1 3/8=11/8

Subtract: 11/8-6/8=5/8

5/8

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a wonderful day/afternoon/night!!!

The probability that the chosen day is a weekday given that no emails were received in the randomly selected interval is 10/17.

Given that, A random day is chosen (all days of the week are equally likely to be selected), and a random interval of length one hour is selected on the chosen day. It is observed that I did not receive any emails in that interval.

We need to find the probability that the chosen day is a weekday.

To solve this problem, we can use Bayes' theorem. Let A be the event that the chosen day is a weekday and B be the event that there are no emails received in the randomly selected interval.

Then the probability of A given B is given by:

P(A | B) = P(A) × P(B | A) / P(B)

where,

P(A) = Probability that the chosen day is a weekday = 5/7 (since there are 5 weekdays out of 7 days in a week)

P(B | A) = Probability that there are no emails received in the randomly selected interval given that the chosen day is a weekday = Probability that the interval falls within the non-working hours of the day = 16/24 = 2/3 (since there are 16 non-working hours out of 24 hours in a day)

P(B) = Probability that there are no emails received in the randomly selected interval = Probability that the interval falls within the non-working hours of any day in a week = (5/7) × (2/3) + (2/7) × (4/24) = 34/63 (since the probability of selecting a weekday is 5/7 and a weekend day is 2/7, and the probability of the interval falling within non-working hours is 2/3 for weekdays and 4/24 for weekends)

Therefore,

P(A | B) = (5/7) × (2/3) / (34/63) = 10/17

The probability that the chosen day is a weekday given that no emails were received in the randomly selected interval is 10/17. Therefore, the answer is 10/17.

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Answer:

10 adult tickets cost £75 , 20 child tickets cost £60

Step-by-step explanation:

let a be the cost of an adult ticket and c the cost of a child ticket , then

4a + c = 33 → (1)

2a + 7c = 36 → (2)

multiplying (2) by - 2 and adding to (1) will eliminate a

- 4a - 14c = - 72 → (3)

add (1) and (3) term by term to eliminate a

0 - 13c = - 39

- 13c = - 39 ( divide both sides by - 13 )

c = 3

substitute c = 3 into either of the 2 equations and solve for a

substituting into (1)

4a + 3 = 33 ( subtract 3 from both sides )

4a = 30 ( divide both sides by 4 )

a = 7.5

the cost of an adult ticket is £7.50

then 10 adult tickets cost 10 × £7.50 = £75

the cost of a child ticket is £3

the cost of 20 child tickets is 20 × £3 = £60

a) The given relation is function.

b) The function is, $x = 18.5 y

c) The value of (f+ g)(9) is 5.

d) The he original amount of her loan is 6000.

A function with one or two variables and no exponents is referred to as a linear function. It is a function with a straight line as its graph.

Given:

a) The given relation is function because is input have have output, no two outputs have same input.

b) After 8 hours, a person earned $148 in wages.

So, the unit rate change = 148/ 8

                                        = 18.5

So, if y represents the number of hour and $x the wages, then the function is $x = 18.5 y.

c)  Let f(x)=x and g(x)=x-13

(f+ g)(9)

= (x+  x-13) (9)

= 2x -13

= 2(9)- 13

= 5

d) The modeled function. P(m) = 6000 - 300m.

so, the original amount of her loan is 6000.

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Answer:

x = -2

Or

x = 4

Step-by-step explanation:

The solutions of the quadratic function that is represented by the graph shown above, is the x-intercepts of the graph.

The x-intercepts are the values of x, when y = 0. At any of these x-values, the parabola intercepts the x-axis.

Therefore, the graph shows that the parabola intercepts the x-axis when x = -2 and also when x = 4.

The solutions of the equation of the graph are x = -2, and x = 4.

Answer:

Perimeter of given rectangle: 114

Perimeter of dilated rectangle: 38

Area of given rectangle: 810

Area of dilated rectangle: 90

Step-by-step explanation:

We have the given rectangle with 27 width and 30 length

then the dilated rectangle with 1/3 factor will be 27/3 = 9 width and 30/3 = 10 length

Perimeter of given rectangle

P = 2(l + w) = 2(27 + 30) = 114

Perimeter of dilated rectangle

P = 2(l + w) = 2(9 + 10) = 38

Area of given rectangle

A = lw = 27 x 30 = 810

Area of dilated rectangle

A = lw = 9 x 10 = 90

The quadratic equation x² - 3x - 28 = 0 has two real rational solutions. Therefore the correct option is 3. Two real rational solutions

To determine the type of solutions to the quadratic equation x² - 3x - 28 = 0, we can use the discriminant, which is the term b² - 4ac in the quadratic formula.

In this case, the coefficients are:

a = 1 (coefficient of x²)

b = -3 (coefficient of x)

c = -28 (constant term)

The discriminant is calculated as follows:

Discriminant = b² - 4ac

Discriminant = (-3)² - 4(1)(-28)

Discriminant = 9 + 112

Discriminant = 121

Now, let's analyze the value of the discriminant:

1. If the discriminant is positive (greater than zero), there are two real solutions.

2. If the discriminant is zero, there is one repeated real solution.

3. If the discriminant is negative (less than zero), there are two complex solutions.

In this case, the discriminant is 121, which is positive. Therefore, the quadratic equation x² - 3x - 28 = 0 has two real rational solutions.

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Answer:

B. 9

Step-by-step explanation:

2y - 4 = 14

or, 2y = 14+4

or, 2y = 18

or, y = 18/2

y = 9

Yes, a linear model is appropriate for the given data because; the residual plot is such that the absolute value of residuals (actual value - predicted) are minimal.

It follows from the task content that it is requited to be determined if a linear model is appropriate for the data.

By observation, it follows from the scatter plot and line of best fit that the actual data points are close to the predicted values of the line of.best fit.

It is noteworthy to know that; a residual is a measure of how well a line fits an individual data point.

By observation, the residual plot shown in the task content is such that the residual plot points are close to the line; it therefore follows that a linear plot is appropriate for the given data.

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The statements that are true are the volume of the box is v = lwh = 864 in³ and the volume can be expressed in an equation as v = 6x² = 864in³

The volume of a square box is equal to the cube of the length of the side of the square box. The formula for the volume is V = l³, where "l" is the length of the side of the square box.

In the given problem, the volume of the box is 864 cubic inches.

However, we have to remember that the box isn't a square, but rather the base has a square shape.

The volume of the figure is

v = l * w * h

If we divide the volume by the height, we will have the area of the figure

Area = volume / height

Area = 864 / 6

Area = 144 square inches

Since the base has a square shape;

A = l²

144 = l²

l = √144

l = 12 in

The side length is 12 inches.

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Given:

To find: The value of x and y

Explanation:

Adding (1) and (2) we get,

Substitute x=4 in equation (2) we get,

Hence, the solution is,

Final answer: