Al terminar de pintar la puerta de su recamara Gerardo observó que le quedaron 3/4 de litro de pintura, sí utilizó 5/8 de litro en pintar, ¿cuánta pintura tenía antes de empezar a pintar?

Answer:

1 whole and 5/8 as a decimal is 1.625

Answer:

4x^2(3+4x)

Step-by-step explanation:

Answer:

I think its C

Step-by-step explanation:

Answer:

225 m²

Step-by-step explanation:

5 grid lengths = 25 m

1 grid = 25 m²

Number of full black grids : 5

Number of half black grids : 8

(5 × 25 m²) + (8 × 12.5 m²) = 125 m² + 100 m² = 225 m²

The expression |-4| has a value of 4 when evaluated

From the question, we have the following parameters that can be used in our computation:

|-4|

The above expression is an absolute expression

So, the solution is the positive value of the expression in bracket

Evaluate the expressions in the brackets

So, we have the following representation

|-4| = 4

Hence, the expression has a value of 4

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The solutions to the quadratic equation 6x² = -3x + 1 to the nearest hundredth are -0.73 and 0.23.

Given the quadratic equation in the question:

6x² = -3x + 1

To solve the quadratic equation 6x² = -3x + 1, we can rearrange it into standard form, where one side is set to zero:

6x² + 3x - 1 = 0

Now we can solve the equation using the quadratic formula, which states that for an equation in the form ax² + bx + c = 0, the solutions for x are given by:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\)

Here; a = 6, b = 3, and c = -1.

Let's substitute these values into the quadratic formula:

\(x = \frac{-b \±\sqrt{b^2-4ac} }{2a}\\\\ x= \frac{-3 \±\sqrt{3^2-4\ *\ 6\ *\ -1} }{2*6}\\\\x = \frac{-3 \±\sqrt{9+24} }{12}\\\\x = \frac{-3 \±\sqrt{33} }{12}\\\\x = -0.73, \ x=0.23\)

Therefore, the values of x are -0.73 and 0.23.

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The cost of the tomatoes, in dollars per pound, using proportions, is of:

$0.86 per lb.

A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of a problem.

In this problem, the costs is obtained as follows:

Hence the cost in dollars per kg of the tomatoes is obtained as follows:

1.74 x 1.09 = $1.8966 per kg.

The relationship between kg and pounds is given as follows:

1 kg = 2.20 lb.

Hence the cost is written as follows:

$1.8966 per 2.20 lb.

The cost per pound of the tomatoes is of:

1.8966/2.20 = $0.86 per lb.

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Answer:

The answer is below

Step-by-step explanation:

The height of tank = 12 m = 1200 cm, the diameter of the tank = 8 meters, hence the radius of the tank = 8/2 = 4 m = 400 cm

Let h represent the water level = 8 m = 800 cm. The radius (r) of the water level at a height of 8 m is:

r/h = radius of tank/ height of tank

r/h = 400/1200

r = h/3

\(\frac{change\ in\ volume}{change\ in \ time}=water\ in-water\ out\\ \\\frac{dV}{dt=} water\ in-water\ out\\\\V=\frac{1}{3}\pi r^2h\\ \\r=\frac{1}{3}h \\\\V=\frac{1}{3}\pi (\frac{1}{3}h )^2h\\\\V=\frac{1}{9} \pi h^3\\\\\frac{dV}{dt} =\frac{1}{3} \pi h^2\frac{dh}{dt}\\\\\frac{dh}{dt}=2\ cm/min,h=8\ m=800\ cm\\\\\)

\(\frac{dV}{dt} =\frac{1}{3} \pi (800)^2(2)=426666.7\ cm^3/min\\\\\frac{dV}{dt=} water\ in-water\ out\\\\426666.7\ cm^3/min= water\ in-water\ out\\\\426666.7\ cm^3/min= water\ in-20000\ cm/min\\ \\water\ in=426666.7\ cm^3/min+20000\ cm/min\\\\water\ in=446666.7 \ cm^3/min\)

The area of the parallelogram is 96 square feet

The formula for determining the area of a parallelogram is expressed as;

A = bh

Given that the parameters are;

It is important to note the following;

Now, substitute the values

Area, A = 8(12)

multiply the values

Area = 96 square feet

Thus, the value is 96 square feet

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Answer: the slope is 0 if you are talking about what is the slope of 2,-3 and -2,-3 because that’s what is in the picture

Step-by-step explanation: slope is the y values over the x values

Answer:

∅ = 44°

Step-by-step explanation:

cos∅ = sin46°

∅ = (90 - 46)°

∅ = 44°

Hope this helps

Answer:

2/4

Step-by-step explanation:  3 1/4  divided 12

Check the picture below.

so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.

\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)

now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.

So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark  happened between 0 and 5 seconds.

Th equation is \(3v=54\\\).

Given,

product of 3 and vidya's height is 54

v is represented as vidya's height.

Representation of equation is as follows:

The product of 3 and vidya's height can be written as \(3*v=3v\)

and their product is 54,

\(3v=54\).

Thus, the equation is \(3v=54\\\).

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Answer:

24 students are in class

Step-by-step explanation:

1/5 of 15 is 3

15 - 3 = 12

12 boys + 12 girls = 24 students

Given data:

The given scale is 1 in=15 mile.

The expression for 7 inches is,

7 in=x miles.

The ratio of both the equations is,

Thus, the last option is correct.

Answer:16 quarters and 3 dimes

Step-by-step explanation:

430/25 (Quarters) = 17

25x16

(Because you can’t have 17 since 25x17=425 leaving no room for dimes.)

=400

Now 430-400=30

30 more cent is needed,

30/10(Dime value)

Is 3, so the answer is the man has 16 quarters and 3 dimes

The requried ball reached a maximum height of approximately 62 feet

Let the ball is thrown vertically upward, we can use the following formula to find the maximum height it reaches:

\(h(t) = -16t^2 + vt + h_0\)

here, h(t) is the height of the ball at time t, v is the initial velocity of the ball (in feet per second), and h0 is the initial height of the ball (in feet). We can also use the fact that the ball remains in the air for 3.8 seconds, which means that the time it takes to reach the maximum height is half of that or 1.9 seconds.

At the highest point, the ball's velocity is zero, so we can find the initial velocity by setting v = 0 in the above formula and solving for h₀:

h₀ = h(t) + 16t²

   = 4 + 16(1.9)²

   ≈ 4 + 57.76

   ≈ 61.76

Therefore, the ball reached a maximum height of approximately 62 feet

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The customers surveyed that will need baseball equipment is 48 customers

The customers surveyed that will need wrestling equipment is 36 customers.

The responses are written in percentage. Percentage is a measure of frequency that expresses a number as a fraction of 100. The sign that represents percentage is %.

In order to determine the number of customers that will needed baseball equipment, express the percentage response as a fraction out of 100 and multiply it by the total number of people surveyed.

The customers surveyed that will need baseball equipment = percentage response for baseball equipment x number of people surveyed

= (20 / 100) x 240 = 48 customers

The customers surveyed that will need wrestling equipment= percentage response for baseball equipment x number of people surveyed

(15 / 100) x 240 = 36 customers

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Answer:

A

The  test statistics is  \(t = -1.7\)

B

The  Null and  Alternative hypothesis are

      \(H_o : \mu = 47.2\)   and  \(H_a : \mu \ne 47.2\)

Step-by-step explanation:

From the question we are told that

    The population mean is  \(\mu = 47.2 miles/gallon(MPG)\)

    The sample size is  \(n = 250 \ van\)

     The  sample mean is  \(\= x = 47.0\)

      The sample  standard deviation is  \(\sigma = 1.9\)

      The level of significance is  \(\alpha = 0.02\)

Given that the value which the manufacturer gave the automobile is  47.2 and  it is believed that this is not correct, then  

The  Null Hypothesis is  

        \(H_o : \mu = 47.2\)

The alternative Hypothesis  is  

        \(H_a : \mu \ne 47.2\)

The test statistics can be mathematically evaluated as  

        \(t = \frac{\= x- \mu}{\frac{\sigma }{\sqrt{n} } }\)

substituting values

        \(t = \frac{\= 47- 47.2}{\frac{1.9 }{\sqrt{250} } }\)

       \(t = -1.7\)

Answer:

9.26 per quart

Step-by-step explanation:

A 3-gallon bucket of paint costs $111.12.

  Find the price of per quart.

3 gallons equal 12 quarts. We divide 111.12 for 12 quarts by 12:

111.12 / 12 = 9.26

I’ll answer, but wait, do I send a picture of my work? or not? It says I have to make a table of values, so

The solution of the integral by variable change is equal to (1 / 6) · √(2 · x + 3)³ - (3 / 2) · √(2 · x + 3).

In this problem we find the definition of an integral, whose solution must be found by variable change, that is, a kind of algebraic substitution. First, write the complete expression:

∫ [x / √(2 · x + 3)] dx

Second, use algebraic substitution to simplify the expression:

u = 2 · x + 3

x = (u - 3) / 2

dx = du / 2

(1 / 2) ∫  [(u - 3) / (2 · √u)] du

(1 / 4) ∫ [(u - 3) / √u] du

(1 / 4) ∫√u du - (3 / 4) ∫ du / √u

Third, solve the integral:

(1 / 6) · √u³ - (3 / 2) · √u

Fourth, revert the algebraic substitution:

(1 / 6) · √(2 · x + 3)³ - (3 / 2) · √(2 · x + 3)

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Answer:

To add fractions there are Three Simple Steps:

Step 1: Make sure the bottom numbers (the denominators) are the same.

Step 2: Add the top numbers (the numerators), put that answer over the denominator.

Step 3: Simplify the fraction (if possible)

Answer: a=101 b=79 c=83 d=97

The solution is, After decreasing £16870 by 3% we get, £16363.90.

Here, we have,

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

First, find the percentage of £16870 by 3%

%value = 3% * 16870

           = (3 / 100) * 16870

           = 506.1

Now, just minus with actual value

New value = actual value - %value

We know, actual value = £16870 and %value = 506.1

so, New value = 16870 - 506.1

we get, New value = £16363.90

Therefore, After decreasing £16870 by 3% we get, £16363.90

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complete question:

Decrease £16870 by 3%

Give your answer rounded to 2 DP.

The answer is A.

An indefinite integral is a function that, when differentiated, equals the original function. It is denoted by ∫f(x)dx, where f(x) is the function to be integrated. An indefinite integral always has an arbitrary constant of integration, which is denoted by C. This is because the derivative of any constant is zero, so the derivative of ∫f(x)dx+C is still equal to f(x).

A definite integral is the limit of a Riemann sum as the number of terms tends to infinity. It is denoted by ∫

a

b

​

f(x)dx, where a and b are the limits of integration. A definite integral does not have an arbitrary constant of integration, because the limits of integration specify a unique value for the integral.

In other words, an indefinite integral is a family of functions that share the same derivative, while a definite integral is a single number.

Answer:

Since 6x4=24

and

2x4=8,

we can tell that these answers are common multiples of 8, and so 24 plus 8 equals 32.

Step-by-step explanation:

8x4=32

the correct answer is 59.

Answer:

59

Step-by-step explanation: