A water cooler holds 15 liters of sports drink. Approximately how many gallons is this? (1 gallon = 3.785 liters)

Answer:

6/8 and 9/12

Step-by-step explanation:

You can find any by multiplying numerator and denominator by any given number. The number multiplied has to be the same for the top and the bottom

1. Number is 2

3/4 * 2/2 = 6/8 (3*2 = 6  and 4*2 = 8)

2. Number is 3

3/4*3/3 = 9/12 (3*3 = 9 and 3*4 = 12)

Answer:

c.

Step-by-step explanation:

i did it

So the different number has a 4 with a value of 40.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this problem, we need to first identify the place value of the digit 4 in the given number.

The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.

According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:

400/10 = 40

To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.

Therefore, So the different number has a 4 with a value of 40.

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Answer: 21 and -15

Step-by-step explanation:

Let the two numbers be x and y.

Set up the two equations:

x + y = 6

x - y = 36

Add the two equations:

2x = 42

x = 21.

Plug the value of x back in to the first equation:

21 + y = 6

y = -15

Therefore, the two numbers are 21 and -15

Answer:

21 and -15

Step-by-step explanation:

21-15=6

and

21+15=36

Answer:

D

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 )

y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form

with slope m = \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (2, - 4 ) into the partial equation

- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )

- 5 = c

y = \(\frac{1}{2}\) x - 5 ← equation of parallel line

Answer:

Step-by-step explanation:

#1

(p^2-8) (p^2-5)

#2

(p-2) (4p-1)

Answer:

25/56

Step-by-step explanation:

First, find a common denominator. (in this case 56, multiply denominators)

4 x 8          32

7 x 8          56

1 x 7             7

8 x 7           56

now

32               7                     25

-----     -      -----        =        ------

56              56                    56

Since this cannot be simplified, this is my answer.

The amount of solution Janitor has is \(\frac{1}{2}\).

It is given that Janitor had 4/7 of a spray bottle of a cleaning solution out of which he used 1/8 of the solution in a day.

We have to find out that how much spray bottle he still have.

What will be the value , 2 times of 1/2 subtracted from 3 ?

The value will be 2.

Janitor had \(\frac{4}{7}\) of spray bottle of a cleaning solution.

Amount of solution used by him in a day = \(\frac{1}{8}\) of   \(\frac{4}{7}\)

= \(\frac{4}{56}\) = \(\frac{1}{14}\)

The amount of spray bottle which he have now ;

= \(\frac{4}{7}\) - \(\frac{1}{14}\)

= \(\frac{8-1}{14}\)

= \(\frac{7}{14}\) = \(\frac{1}{2}\).

Thus , the amount of solution he has is \(\frac{1}{2}\).

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The exterior angle of the triangle is 62°.

What is triangle?

A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.

Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.

Let us take the triangle as ABC.

Here \(m\angle C\)= 180-(5x-3)° [Because straight line angle is 180°].

We know that sum of all angles in triangle is add upto 180° Then,

=> \(m\angle A+m\angle B+m\angle C\)=180

=> 43°+3x°+180-5x+3=180°

=> -2x=180-180-43-3

=> -2x=-46

=> x=13°

Now exterior angle ,

=> 5x-3

=> 5*13-3

=> 65-3

=> 62°

Hence the exterior angle of the triangle is  62°.

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Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

13, 14

Step-by-step explanation:

The pattern is add 1, add 2, add 1, add 2

13 , 14 are the next 2 numbers in the sequence.

From the question,

we can see that:

5 x + 5 = 4 x + 20

collecting like terms, we have:

5 x - 4x = 20 - 5

x = 15

Then, m

m < UV = 70

Answer:

Length of wire required for 5 fold of garden = 14 km

Step-by-step explanation:

Given:

Length of rectangle garden = 0.8 km

Width of rectangle garden = 0.6 km

Find:

Length of wire required for 5 fold of garden

Computation:

Perimeter of rectangle = 2[l + b]

Perimeter of garden = 2[0.8 + 0.6]

Perimeter of garden = 2[1.4]

Perimeter of garden = 2.8 km

Length of wire required for 5 fold of garden = 5 x Perimeter of garden

Length of wire required for 5 fold of garden = 5 x 2.8

Length of wire required for 5 fold of garden = 14 km

a) The possible pairs of mutually exclusive outcomes are given below:

A and B

A and C

A and D

B and C

B and D

C and D

b) The Three of the outcomes that are said to be all mutually exclusive are:

c) The probability of having B and D is written as P(B or D) = P(B) + P(D)

Mutually exclusive events cannot happen at the same time, like rolling a kick the bucket and getting a 1 and a 2. In this case, there are four conceivable results: A, B, C, and D, a few of which we commonly select.

For example, If A is the outcome, C or D cannot be. To find mutually exclusive pairs, we check which outcomes cannot occur together. A and B are mutually exclusive because they cannot both be true.

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Answer:

I am pretty sure it is J

Step-by-step explanation:

128 divided by 16 equals 8

Answer:

F

8 ounce per serving

Step-by-step explanation:

128 ounce jug of iced tea.

label says = serves 16 people

therefore, the number of ounces per serving = 128 ounce / 16 serving

= 8 ounce per serving

so the answer is option F

\(solution\)

\( \sqrt{72} \)

Factor the expression

\( \sqrt{6 }^{2} \times 2\)

Use the properties of radicals

\( \sqrt{6 {}^{2} } \sqrt{2} \)

simplify the root

\(answer\)

\(6 \sqrt{2} \)

Answer:

the answer is -8.5

you should use m.a.t.h.w.a.y it is very helpful with math and brainly would not let me say the name the correct way so I had to put periods but anyways have a good day or night

︎

Step-by-step explanation:

First thing first, let find the x value of where P and Q both meet y=5, we know that y=5, and y=2x^2+7x-4, so using transitive law,

\(5 = 2 {x}^{2} + 7x - 4\)

\(2 {x}^{2} + 7x - 9\)

\(2 {x}^{2} - 2x + 9x - 9\)

\(2x(x - 1) + 9(x - 1)\)

\((2x + 9)(x - 1) = 0\)

\(x = 1\)

\(2x + 9 = 0\)

\(x = - \frac{9}{2} \)

Now, to find the gradient of the curve let take the derivative of both sides

\(5 = 2 {x}^{2} + 7x - 4\)

\(0 = 4x + 7\)

\(4x + 7\)

Plug in -9/2, let call that point P

\(4( \frac{ - 9}{2} ) + 7 = - 11\)

Plug in 1, let call that point Q

\(4(1) + 7 = 11\)

So the gradient of the curve at point P (-9/2,5) is -11

The gradient of the curve at point Q (1,5) is 11.

Answer:

So if PT=TQ and TQ=7x-9

PT=5x+3=TQ=7x-9

5x+3=7x-9

minus 5x both sides

3=2x-9

add 9 both sides

12=2x

divide 2

6=x

PT=5x+3

PT=5(6)+3

PT=30+3

PT=33

PT=QT=33

x=6

with help from heliy02

Step-by-step explanation:

Answer:

50/50

Step-by-step explanation:

It's random

Answer:

The answer to the question provided is 10.

The statement about function g which is true is that: function g is exponential because g(x) changes by equal factors over equal intervals of x.

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Slope = (40 - 10)/(2 - 1)

Slope = 30/1

Slope = 30

Slope = (160 - 40)/(3 - 2)

Slope = 120/1

Slope = 120.

Factor = 40/10 = 4

Factor = 160/40 = 4

Factor = 640/160 = 4.

Therefore, function g is exponential because g(x) changes by equal factors over equal intervals of x.

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Answer:

Step-by-step explanation:

(x-1)²+(y+1)²=41

Answer:

y = 4\(\sqrt{5}\) , ? = 10

Step-by-step explanation:

using Pythagoras' identity on the smallest right triangle

x² = 4² + 2² = 16 + 4 = 20 ( take square root of both sides )

x = \(\sqrt{20}\) = \(\sqrt{4(5)}\) = \(\sqrt{4}\) × \(\sqrt{5}\) = 2\(\sqrt{5}\)

using Pythagoras' identity on the middle right triangle

y² = 8² + 4² = 64 + 16 = 80 ( take square root of both sides )

y = \(\sqrt{80}\) = \(\sqrt{16(5)}\) = \(\sqrt{16}\) × \(\sqrt{5}\) = 4\(\sqrt{5}\)

using Pythagoras' identity on the largest right triangle

?² = x² + y² = (2\(\sqrt{5}\) )² + (4\(\sqrt{5}\) )² = 20 + 80 = 100

Take square root of both sides

? = \(\sqrt{100}\) = 10

Answer:

997 admission tickets were sold and 361 reserved seats were sold.

Step-by-step explanation:

There is a couple of ways to calculate this.

Multiply the cost of an admission ticket by the total paid admissions:

\(4 \times 1358 = 5432\)

Subtract this from the total cost:

\(5973.5 - 5432 = 541.5\)

Divide the above value by the difference between the cost of the two tickets:

\(5.5 - 4 = 1.5\)

\(541.5 \div 1.5 = 361\)

Now we know the number of general admission tickets, we can subtract the cost of this from the total cost:

\(361 \times 5.5 = 1985.5\\5973.50 - 1985.5 = 3988\)

Divide this by the cost of general admission:

\(3988 \div 4 = 997\\\)

So there were 997 admission tickets sold and 361 reserved seats sold.

Hope this helps!

Answer:

D) 48

Step-by-step explanation:

Let s = Scott

Let j - James

s = 5

s + 43 = j  Substitute 5 for s

5 + 43 = j

48 = j

Answer:

A. base

Step-by-step explanation:

if this helped please press the pink "thanks" button

Answer:

a = - 2

Step-by-step explanation:

Givens

y2 = 4

y1 = a

x2 = 5

x1 = 3

Formula

m  = (y2 - y1)/(x2 - x1)

Solution

3 = (4 - a)/(5 - 3)      Combine the denominator on the right

3 = (4 - a)/2             Multiply both sides by 2

3*2 = 4 - a               Subtract 4 from both sides

6 - 4 = - a

2 = - a                     Multiply both sides by - 1

-2 = a

Answer:

10.8 or 10 4/5

Step-by-step explanation:

4 1/2 * 2/25 = 10 4.5

Answer:

\(y=-e^{-3x-c_1}+6\)

Step-by-step explanation:

\(\frac{dy}{dx}+3y=18\\\\\mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:\\\\y'\:+3y=18\\\\Rewrite\\\\\frac{1}{6-y}y'\:=3\\\\Solve \::\frac{1}{6-y}y'\:=3\\\\-In(6-y)=3x+c_1\\\\Isolate\:y\\\\\\y=-e^{-3x-c_1}+6\)