For exercises 23-27 use this illustration of a drink dispenser gauge on the front of the dispenser shows how much of the liquid remains in the gauge that dispenser holds 120 cups a. About what fraction of the cup is filled with liquid b. About how many cups of liqiud are in the dispencer c. About what fraction of the dispencer is empty d. About how many more cups of liquid does it take to fill the cup

Answer:

5x^2+120x

Step-by-step explanation:

5x(x+24)

Step 1: Use distributive property to expand the expression. Multiply 5x separately  with all the terms inside the bracket.

Step 2: 5x(x) = 5x^2

5x(24) = 120x

Answer: 5x^2+120x

Note: If you need to further solve it, you can factor it.

To Factor;

5x^2+120x

Step 1: Factor out the common: 5x

Step 2: 5x times x = x^2

            5x times 24 = 120x

Therefore,

Factored answer: 5x(x+24)

Hope this helps.

Answer:x=6

Step-by-step explanation:

5x(x+24)=0

5x = x +24

5x - x = x - x + 24

4x = 24

X = 24/4

X = 6

Answer:

[tex]a_2=6[/tex]

Step-by-step explanation:

Geometric sequence general formula:  [tex]a_n=ar^{n-1}[/tex]

Given:

Therefore,

[tex]a_1=2 \implies a=2[/tex]

[tex]a_3=2 \cdot r^2=18[/tex]

[tex]a_5=2 \cdot r^4=162[/tex]

To find common ratio r, divide 5th and 3rd terms:

[tex]\dfrac{a_5}{a_3}=\dfrac{2 \cdot r^4}{2 \cdot r^2}=\dfrac{162}{18}[/tex]

[tex]\implies r^2=9[/tex]

[tex]\implies r=\sqrt{9}=3[/tex]

Therefore, geometric sequence formula:  [tex]a_n=2 \cdot 9^{n-1}[/tex]

So second term of sequence:

[tex]\implies a_2=2 \cdot 3^{2-1}=6[/tex]

Answer:

11/2,5.5

Step-by-step explanation:

5 ori 5 fac 25 și cu 25 egal 14 și cu 14 egal 100 și cu 100 egal 12

Step-by-step explanation:

sper ca team ajutat

Answer:

∠ 6 = 45°

Step-by-step explanation:

∠ 6 and 45° are vertically opposite angles and are congruent , so

∠ 6 = 45°

The graph represents a linear function. The y intercept shows the initial amount of water in the tank before cleaning which is 175 gallons. The slope is negative which shows the amount of water being drained over the number of hours.

A linear equation is in the form:

y = mx + b

Where y, x are variables, m is the rate of change and b is the y intercept.

Let y represent the amount of water in gallon after x hours.

The y intercept is (0, 175), hence b = 175.

The line passes through (0, 175) and (7, 0), hence::

Slope = (0 - 175) / (7 - 0) = -25

The equation is y = -25x + 175

The graph represents a linear function in which the equation is linear. The linear feature of the graph shows the point at which the tank ends its draining. The y intercept shows the initial amount of water in the tank before cleaning which is 175 gallons. The slope is negative which shows the amount of water being drained over the number of hours.

Find out more on linear equation at: https://brainly.com/question/14323743

Step-by-step explanation:

I guess method 1 means to deal with whole factors.

x + 5 = (x - 2)(x + 5)

for (x + 5) <> 0 we can divide both sides by this factor :

1 = x - 2

x = 3

for the second solution we deal with

x + 5 = 0

x = -5

so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.

method 2 : we multiply the expression out and solve it then

x + 5 = (x - 2)(x + 5)

x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10

0 = x² + 2x - 15

the general solution to such a square equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -15

x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =

= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =

= -1 ± 4

x1 = -1 + 4 = 3

x2 = -1 - 4 = -5

and you get the 2 solutions again. as expected, they are the same as with method 1, of course.

Answer:

The blue and yellow macaw is 33 inches long.

Step-by-step explanation:

If the toucan is 22 inches long and it's two thirds the length of the macaw you can divide by two to find what one third is.

22 ÷ 2 = 11

So then you have to multiply by 3 to find what the full length is.

3 x 11 = 33 inches

Hope that helps and have a great day!

Answer:

Step-by-step explanation:

Then we have equation

Blue-and-yellow macaw is 33 in long

Answer:

t= 33

Step-by-step explanation:

4(8) +t = 65

32+t=65

t=33

Hope this helps!

Step-by-step explanation:

T = hourly pay (8$)

Y = hours worked

T • Y = 32

65-32 = 33$ in tips

Answer:

The correct answer is x=2

Step-by-step explanation:

The equation of the given line written in slope-intercept form is  y=x-2.

From the given figure, x-intercept of 2.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Here, slope is 0

Substitute (x, y)=(2, 0) and m=1 in y=mx+c, we get

0=1(2)+c

c=-2

Put m=1 and c=-2 in y=mx+c, we get

y=x(1)-2

⇒y=x-2

Therefore, the equation of the given line written in slope-intercept form is  y=x-2.

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Answer: The answer is 3211000 :^

Step-by-step explanation: hope this helps

Answer: The answer is B:)))

Step-by-step explanation:

It can be the line of best fit because it is close to most data points. 

Answer:

3 i think

Step-by-step explanation:

so we substitute -5 to g(x)

g(x) = -4(-5) + 3

= 20 + 3

= 23

now we substitute it to f(x)

f(x) = -2x + 49

= -2(23) + 49

= -46 + 49

= 3

Answer:

3

Step-by-step explanation:

f(x) = -2x + 49

g(x) = -4x + 3

(fºg)(x) = f(g(x)) = -2(-4x + 3) + 49

(fºg)(x) = 8x - 6 + 49

(fºg)(x) = 8x + 43

(fºg)(-5) = 8(-5) + 43

(fºg)(-5) = 3

.

Answer:

104?

Step-by-step explanation:

pretty sure that's it 3x2 =6 10x11=110 but your painting around the window which it 6 ft so take 6 away and boom 104!

Answer:

104 ft²

Step-by-step explanation:

Given :-

To Find :-

Solving :-

[tex] \alpha = \frac{3\pi}{4} r {}^{2}[/tex]

[tex] \alpha = \frac{3 \times 3.14}{4} \times (2) {}^{2} [/tex]

[tex] \alpha = 9.42[/tex]

Area=3π if you want it in radians :)

Explicación paso a paso:

Dado

an = n + 3

bn = 5n-1

a) an-bn = n + 3- (5n-1)

= n + 3-5n + 1

= n-5n + 3 + 1

= -4n + 4

an-bn = 4-4n

b) an + 3bn = (n + 3) +3 (5n-1)

= n + 3 + 3 (5n) +3 (-1)

= n + 3 + 15n-3

= n + 15n + 3-3

= 16n + 0

= 16n

an + 3bn = 16n

3) Dado a1 = 1, a2 = 1

an = an-1 + an-2

Debemos escribir los primeros ocho términos de la secuencia.

a3 = a3-1 + a3-2

a3 = a2 + a1

a3 = 1 + 1

a3 = 2

a4 = a3 + a2

a4 = 2 + 1

a4 = 3

a5 = a4 + a3

a5 = 3 + 2

a5 = 5

a6 = a5 + a4

a6 = 5 + 3

a6 = 8

a7 = a6-a5

a7 = 8 + 5

a7 = 13

a8 = a7 + a6

a8 = 13 + 8

a8 = 21

Por tanto, los primeros ocho términos de la secuencia son 1, 1, 2, 3, 5, 8, 13 y 21

Answer:

a), b) and c) are correct.

d) 12g^4h^5

Step-by-step explanation:

Answer:

Yes! Because they are in proportion: 1x9 = 9, 2x9 = 18 therefore, 1:2 and 9:18 are equivalent. Similar to equivalent fractions - you need to multiply both numbers by the same number. Hope this helped!

Step-by-step explanation:

If you need further help, let me know!

- profparis

Answer:

x = 4

Step-by-step explanation:

the segment inside the triangle is an angle bisector and divide the opposite side into segments that are proportional to the other two sides, that is

[tex]\frac{x}{x+4}[/tex] = [tex]\frac{x+6}{2x+12}[/tex] = [tex]\frac{x+6}{2(x+6)}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = x + 4 ( subtract x from both sides )

x = 4

By using the quadratic formula, we can conclude that the golf ball will hit the ground at x = 0.5 seconds.

What is the quadratic formula?

The quadratic formula is a formula that gives the solutions of a quadratic equation in the form [tex]ax^2 + bx + c = 0[/tex], where a, b, and c are constants and x is the variable. The formula is:

x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex]) / 2a

This formula can be used to find the values of x that satisfy the quadratic equation.

To find when the golf ball will hit the ground, we need to find the value of x when the height of the golf ball is equal to zero. We can do this by solving the quadratic equation [tex]-16x^2 + 11x + 6 = 0[/tex] using the quadratic formula:

x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex]) / 2a

where a = -16, b = 11, and c = 6. Substituting these values, we get:

x = (-11 ± [tex]\sqrt{11^2 - 4(-16)(6)}[/tex] ) / 2(-16)

x = (-11 ±  [tex]\sqrt{361}[/tex])/ (-32)

Simplifying this expression, we get:

x = (-11 ± 19) / (-32)

So the two possible values of x are:

x = 8/16 = 0.5 and x = 30/16 = 1.88

Since the height of the golf ball is equal to zero when it hits the ground, we can conclude that the golf ball will hit the ground at x = 0.5 seconds (rounded to the nearest hundredth).

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it should be c because the puthagorean theorem is c^2=a^2+b^2 so subtract b^2 to the other side to keep a by itself and then sqare root both sides to get ride of the square on the a

Answer:

x=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x+39=3x+27 i think your welcome :)

Answer:

4/5 brownies for each person.

Step-by-step explanation:

4 brownies between 5 people equals 4/5, or 4 divided by 5.

Answer:

It would be cheaper to use the online store

Step-by-step explanation:

the physical store added up to $129.04 and the online store was $128.82.

It would cost less to purchase the items from the physical store.

The correct option is C.

A ratio or value that may be stated as a fraction of 100 is called a percentage. Moreover, it is indicated by the symbol "%."

To calculate the total cost for each store, we need to take into account the discounts, taxes, and shipping fees.

For the physical store:

Batteries: 2 packs x $5.99/pack = $11.98

Stereo: 1 system x $100.00/system = $100.00

CDs: 3 CDs x $7.95/CD = $23.85

Subtotal: $135.83

After the 10% discount: $135.83 - 10% = $122.25

Sales tax: $122.25 x 5% = $6.11

Total cost: $122.25 + $6.11 = $128.36

For the online store:

Batteries: 2 packs x $4.99/pack = $9.98

Stereo: 1 system x $90.00/system = $90.00

CDs: 3 CDs x $8.95/CD = $26.85

Subtotal: $126.83

After the $5.00 discount: $126.83 - $5.00 = $121.83

Shipping fee: $6.99

Total cost: $121.83 + $6.99 = $128.82

Therefore, it would cost less to purchase the items from the physical store.

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Answer:

$84.38

Step-by-step explanation:

i did 5.5% of 79.99=4.39

79.99+4.39=84.38

Answer:

You times them, its easy.

Step-by-step explanation:

1 times 2 times 3, it will multiply in 6 hours

Answer:

Approximately 42 credits

Step-by-step explanation:

First you need to find the amount she makes for one week. Multiply 15 by 20: $375.00

Second find how much she makes for those 25 weeks: 375*25: 65,625

Third according to socialsecurityintelligence.com, in 2021, one credit for each $1,470 of earnings. To a maximum of 4 credit per year.

So for a year she earned 4 credits but not considering the limit, she earned 42.85 credits.

To say that two or more angles are equal, we draw a little arc. If there are two arcs then it means that the angle with also two arcs marked is equal in measure, and so on

 --> so:

   ∠A ≅ ∠Y

   ∠B ≅ ∠Z

   ∠C ≅ ∠X

To say that two more sides are equal, we draw a little tic mark. If there are two tics then it means that the sides with also two tics marked are equal in length, and so on.

--> so:

    AB ≅ YZ

    AC ≅ YX

    BC ≅ ZX

And thus ΔACB ≅ ΔYXZ <-- we got this by matching corresponding angles of equal length

Hope it helps!

Answer: Approximately 8.5 units

Step-by-step explanation:

Substitute M(2, -2) and N(8, 4) for the coordinates in the distance formula and solve for d

[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]

[tex]d = \sqrt {\left( {8-2 } \right)^2 + \left( {4-(-2)} \right)^2 }[/tex]

[tex]d = \sqrt {\left( {6 } \right)^2 + \left( {6} \right)^2 }[/tex]

[tex]d = \sqrt {\left( {36 } \right) + \left( {36} \right) }[/tex]

[tex]d = \sqrt {72}[/tex]

[tex]d \approx 8.5\hspace2 units[/tex]

Therefore the length of [tex]\overline{MN}[/tex] is approximately 8.5 units