The table below shows how the number of hours needed to fill a pool depends on the flow rate of the hoses used to fill it.

Flow rate, x
(gal/hr)
Time, y
(hours)
60
300
45
400
36
500
30
600

How long will it take to fill the pool if two hoses are used, one that fills at a rate of 40 gallons per hour and one that fills at a rate of 60 gallons per hour?
100 hours
150 hours
180 hours
200 hours

Answer:

3x ^2 + 5x - 7 = 0

5x ^2+ 15x = 0

x ^2 - 4x = 4x + 7

Step-by-step explanation:

Just find a equation with a degree of 2 and boosh

Answer:

In the account that paid 3% Ramon put $800

In the account that paid 6% Ramon put $1,600

Step-by-step explanation:

Answer:

x+y= 9700 & 0.06x + 0.04y=466

Step-by-step explanation:

let X & Y be each account.  Together, they are $9,700.

So, x+y=9700

thus, account 1 (x) earns 6 %. which converted to decimal is 0.06

account 2 (y) earns 4 % which converted is 0.04

It also said that both accounts were $466, after 1 year.

0.06x+0.04y=466

Answer: x = 8.6 y=10.5

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The slope is found using the slope formula. It works well to choose ordered pairs that only differ by 1 in their x-value.

  m = (y2 -y1)/(x2 -x1)

The y-intercept is the y-value when x=0. If it is not in the table, it can be found from one point and the slope.

  b = y1 -m·x1

__

1) slope = (9 -3)/(2 -1) = 6

  y-intercept = -9 -6(-1) = -3

__

2) slope = (21 -(-1))/(2 -0) = 22/2 = 11

  y-intercept = -1 . . . from table for x=0

__

3) slope = (-9-(-11))/(2-1) = 2

  y-intercept = -11 -(2)(1) = -13

__

4) slope = (-4 -(-5))/(2 -1) = 1

  y-intercept = -7 -1(-1) = -6

Using the concept of proportion to find the value of x in the similar triangle, x is equal to 6.67

Similar triangle theorem states that if two triangles have corresponding angles that are equal, then the sides of the triangles are proportional to each other. This theorem can be used to solve problems involving triangles, such as finding the lengths of missing sides.

We can use the concept of ratio to find the value of x.

12 / 5 = 16 / x

Cross multiply both sides and solve for x

12 × x = 16 × 5

12x = 80

x = 80 / 12

x = 6.67

The value of x is 6.67

Learn more on similar triangle theorem here;

https://brainly.com/question/3168048

#SPJ1

Answer: 58lbs

Step-by-step explanation:

Calculate the difference between 132 and 538. You can do this by subtracting.

538

- 132

Answer:

It would probably be 36t

Step-by-step explanation:

because if you think about It.

It is mainly asking you how long it is going to take, so you need a a equation to find the answer.

-John needs 36 copies

- Hp printers out 16 in 5 minutes

- Epson printer out 4 in 1 minutes

so 36 x t or 36t

Answer:

Step-by-step explanation:

You want the slopes of the lines parallel and perpendicular to 7x -6y = -3.

The slope is the x-coefficient when the equation is in slope-intercept form:

  y = mx +b

Solving for y gives ...

  -6y = -7x -3

  y = 7/6x +1/2 . . . . . divide by -6

The slope of the given line is 7/6.

A parallel line will have the same slope: 7/6.

A perpendicular line will have opposite reciprocal slope: -6/7.

Answer:

both are right

Step-by-step explanation:

2/5x = 14

multiply both sides by 5/2:

(5/2)(2/5)x = 14(5/2)

x = 70/2 = 35

However, dividing by 2/5 is the same as multiplying by 5/2, so you are BOTH right.  Dividing by a fraction is the same as multiplying by the reciprocal of the fraction.

Answer:

good morning I was just asking when will I be

Answer:

27:-3×9

51:-3×17

In 27 and 51 the common one is 3 and hence it is the greatest common factor.✓✓

if you want smallest or lowest common factor then you have to take the common 3 as one and multiply like this:-3×9×17=459 is the Lowest common factor.

*mark me brainliest

Answer:

65, given the amount of $1300 times 0.01 percent times 5 years would equal $65 over 5 years, to break it down, multiply 1300 times 0.01 times 5.

Step-by-step explanation:

Answer:

Step-by-step explanation:

read the data numbers

Answer:

V = 170 in³

Step-by-step explanation:

The volume of a triangular pyramid

V = (1/3)Ah

where A = area of the triangular base, and H = height of the pyramid

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

A = (1/2)(12)(5)

A = 30

V = (1/3)(30)(17)

V = 170 in³

Answer: To find the factor pairs for -240, we can use the following steps:

Find the prime factorization of -240: -240 = (-2) * (-2) * (-2) * (-3) * (-5)

For each prime factor, there are two possible factor pairs: (-1) and (1), and (-n) and (n). For example, for the factor -2, the possible factor pairs are (-1) and (1), and (-2) and (2).

The factor pairs for -240 are: (-1) and (1), (-2) and (2), (-3) and (3), (-5) and (5), (-6) and (6), (-10) and (10), (-15) and (15), (-30) and (30).

Thus, the factor pairs for -240 are: (-1, 1), (-2, 2), (-3, 3), (-5, 5), (-6, 6), (-10, 10), (-15, 15), and (-30, 30).

Step-by-step explanation:

D. mz1 = 45° and mz2 = 45 are complementary angles (mz1 + mz2 = 90°), but neither angle is obtuse (greater than 90°), so the guess is wrong. This is a counter-example to show.

A supplementary angle is an angle where the sum of two angles is 90 degrees. That is, if angle A and angle B are complementary, angle A measurement + angle B measurement = 90 degrees. Supplementary angles may be adjacent (having a common vertex and edge) or non-adjacent (having no common vertex or edge), but they always complement each other.

There are various kinds of angles to study.

To know more about angles visit:

https://brainly.com/question/19247815

#SPJ1

Answer:140

Step-by-step explanation: It is a really big number not the most reasonable answer for the low amount of marbles their are in the jar adding 58 and 82 gives you your answer

The equation for situation 1 is y=4x and is directly proportional and the situation two will have equation y=x+4 and is not proportional.

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here, graph 1 varies 4 times the x value every time there is an increase of 1 in the x-axis and in graph 2 it is a linear equation with intercept at 4 and thus the graph increases with +4 and   A proportional relationship exists between two values x and y when they can be expressed in the general form y = kx,

Hence, The equation for situation 1 is y=4x and is directly proportional and the situation two will have equation y=x+4 and is not proportional.

Learn more about linear equations here:

https://brainly.com/question/29739212

#SPJ1

Answer:

2x-8=1/2-2

Step-by-step explanation:

Answer: 8

So, the first approach with this problem you should take is writing out the mathematical expression in association to what is being described.

To help break down the statement, let's look over it "twice a number (i.e., the number we are looking for multiplied by 2), decreased by 4 (subtraction), is at least 12 (equals that value).

Therefore,

2(x) - 4 = 12

Using algebra to isolate the x variable, we find that:

x = 8

I hope that I understood what was being asked enough to help!

Answer:

Step-by-step explanation:

It’s A

The length of the altitude of the right triangle given is 6.

Right angled triangle are those triangle for which one of the angle is 90 degrees.

The given triangle is an equilateral triangle.

All the sides are equal.

Each of the side = 4√3

Altitude divides one of the side in to two equal halves.

Using Pythagoras theorem,

Altitude = √(4√3)² - (2√3)²

             = √(16×3) - (4 × 3)

             = √48 - 12

             = √36

             = 6

Hence the altitude of the triangle is 6.

Learn more about Pythagoras theorem here :

https://brainly.com/question/343682

#SPJ7

now, this is implicit differentiation, so it comes with the assumption that "y" is a function in "x terms", as opposed to a plain vanilla variable, whilst "x" is just that, so

[tex]\cfrac{d}{dx}[x^2+y^4=20]\implies 2x+\stackrel{chain~rule}{4y^3\cdot \cfrac{dy}{dx}}=0\hspace{5em}\cfrac{d}{dx}\left[ 2x+4y^3\cdot \cfrac{dy}{dx}=0 \right] \\\\\\ 2+\stackrel{product~rule}{\left( 12y^2\cdot \cfrac{dy}{dx}+4y^3\cdot \cfrac{d^2y}{dx^2} \right)}=0\implies 2+12y^2\cdot \cfrac{dy}{dx}+4y^3\cdot \cfrac{d^2y}{dx^2}=0 \\\\\\ 2+12y^2\cdot \cfrac{dy}{dx}=-4y^3\cdot \cfrac{d^2y}{dx^2}\implies {\Large \begin{array}{llll} \cfrac{2+12y^2\cdot \frac{dy}{dx}}{-4y^3}=\cfrac{d^2y}{dx^2} \end{array}}[/tex]

Answer: 1/24 or 0.0416

Step-by-step explanation:

this is so easy its 4.5

Answer:

x ≤ −2 or x ≥ 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Q1. Answer: According to the guidelines, the ratio of the rise (height) to the run (length) of a wheelchair ramp should be no greater than 1:12.

Option A: A ramp with a length of 30 feet and a height of 3 feet. The ratio of the rise to the run is 3/30 = 1/10, which is less than 1:12, so this ramp follows the guidelines.

Option B: A ramp with a length of 20 meters and a height of 0.5 meters. The ratio of the rise to the run is 0.5/20 = 1/40, which is less than 1:12, so this ramp follows the guidelines.

Option C: A ramp with a length of 384 inches and a height of 32 inches. The ratio of the rise to the run is 32/384 = 8/96 = 2/24, which is less than 1:12, so this ramp follows the guidelines.

Option D: A ramp with a length of 1 feet and a height of 12 feet. The ratio of the rise to the run is 12/1 = 12, which is not less than 1:12, so this ramp does not follow the guidelines.

Therefore, the ramps that follow the guidelines are options A, B, and C.

Q2. Answer: The guidelines for a wheelchair ramp suggest that the ratio of the rise (height) to the run (length) of the ramp should be no greater than 1:12. In this case, the rise is 2.5 feet and the run is the length of the ramp (x feet). The ratio of the rise to the run is 2.5/x.

To follow the guidelines, the ratio of the rise to the run should be no greater than 1:12, or 1/12. Therefore, the length of the ramp (x) should be greater than or equal to 2.5/1/12 = 30 feet.

Therefore, the correct answer is C: X ≥ 30.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Setting up a diagram would be helpful here, so we should have the vertical leg representing the 84-ft. tree and the horizontal leg representing the 120 ft. shadow.  With the two measurements we are given, we should use the tangent ratio, opp/adj,  to set up an equation to solve for the angle of elevation. So the equation will be:

tan θ = 84/120.  Using the tan inverse function on the calculator, we have tan-1( 84/120) = θ and, rounding our decimal value to the nearest 10th, we have θ =35°.  

9514 1404 393

Answer:

  A.  (0, -1)

Step-by-step explanation:

The x-coordinate of the y-intercept is always zero (eliminates choices B and D. Here, we can see that extending the given line will make it cross the y-axis below the x-axis, where y-values are negative (eliminates choice C).

We can see that the slope of the line is a rise of 1 for a run of 2 units to the right. The point that is 1 above and 2 right of (-2, -2) is (0, -1), the y-intercept.