You have 8 cups of milk. You need 1.25 cups to make one serving of deep-fried chicken. How many servings can you make?

Answer:

-5/1

Step-by-step explanation:

Remember: Rise over Run

To solve this...

You will need the equation:

y² - y¹

x² - x¹

So now you have to label ( 1 , 2 ) and ( 2 , - 3 ) as either x¹ or y¹ etc.

x¹ = 1  and  y¹ = 2

x² = 2  and  y² = -3

Now you know your plug ins. Just solve it.

Your equation should look like this now:

-3 - 2      -5

-------  =  -----  ( so this is your answer )

2 - 1         1

Answer:

Find the smallest multiple the denominators have in common  

30

Expand each fraction so that the denominators are 30

[tex]\frac{8}{30} + \frac{- 5}{30}[/tex]

Add or subtract the numerators and keep the same denominator

[tex]\frac{8- 5}{30}[/tex]

Simplify

[tex]\frac{1}{10}[/tex]

​  

​

Answer:

b = 39

Step-by-step explanation:

Opposite sides of a parallelogram are congruent to each other. This implies that:

ST = VU

Therefore:

2b - 39 = b (substitution)

2b - 39 - b = 0 (subtraction property of equality)

b - 39 = 0

b = 0 + 39 (addition property of equality)

b = 39

Answer:

a)  f(5) = 24

b) The inverse of given function

              f⁻¹ ( x ) = √x+1

c)    f⁻¹ ( 8 ) = √9 =3

Step-by-step explanation:

Explanation:-

Given  f(x) = x² - 1

a)

      f(5) = 5² -1 = 25-1 =24

b)      

put y =  f(x) = x² - 1

   ⇒   y =  x² - 1

 ⇒     x² = y + 1

⇒     x = √y+1

⇒ f⁻¹ ( y ) = √y+1      ( ∵ f⁻¹ ( y) =x)

The inverse of given function

              f⁻¹ ( x ) = √x+1

c)   put x=8

             f⁻¹ ( 8 ) = √8+1 = √9 =3

Answer:

This series is convergent. The partial sums of this series converge to [tex]\displaystyle \frac{2}{3}[/tex].

Step-by-step explanation:

The [tex]n[/tex]th partial sum of a series is the sum of its first [tex]n\!\![/tex] terms. In symbols, if [tex]a_n[/tex] denote the [tex]n\![/tex]th term of the original series, the [tex]\! n[/tex]th partial sum of this series would be:

[tex]\begin{aligned} S_n &= \sum\limits_{k = 1}^{n} a_k \\ &= a_1 + a_2 + \cdots + a_{k}\end{aligned}[/tex].

A series is convergent if the limit of its partial sums, [tex]\displaystyle \lim\limits_{n \to \infty} S_{n}[/tex], exists (should be a finite number.)

In this question, the [tex]n[/tex]th term of this original series is:

[tex]\displaystyle a_{n} = \frac{{(-1)}^{n+1}}{{2}^{n}}[/tex].

The first thing to notice is the [tex]{(-1)}^{n+1}[/tex] in the expression for the [tex]n[/tex]th term of this series. Because of this expression, signs of consecutive terms of this series would alternate between positive and negative. This series is considered an alternating series.

One useful property of alternating series is that it would be relatively easy to find out if the series is convergent (in other words, whether [tex]\displaystyle \lim\limits_{n \to \infty} S_{n}[/tex] exists.)

If [tex]\lbrace a_n \rbrace[/tex] is an alternating series (signs of consecutive terms alternate,) it would be convergent (that is: the partial sum limit [tex]\displaystyle \lim\limits_{n \to \infty} S_{n}[/tex] exists) as long as [tex]\lim\limits_{n \to \infty} |a_{n}| = 0[/tex].

For the alternating series in this question, indeed:

[tex]\begin{aligned}\lim\limits_{n \to \infty} |a_n| &= \lim\limits_{n \to \infty} \left|\frac{{(-1)}^{n+1}}{{2}^{n}}\right| = \lim\limits_{n \to \infty} {\left(\frac{1}{2}\right)}^{n} =0\end{aligned}[/tex].

Therefore, this series is indeed convergent. However, this conclusion doesn't give the exact value of [tex]\displaystyle \lim\limits_{n \to \infty} S_{n}[/tex]. The exact value of that limit needs to be found in other ways.

Notice that [tex]\lbrace a_n \rbrace[/tex] is a geometric series with the first term is [tex]a_0 = (-1)[/tex] while the common ratio is [tex]r = (- 1/ 2)[/tex]. Apply the formula for the sum of geometric series to find an expression for [tex]S_n[/tex]:

[tex]\begin{aligned}S_n &= \frac{a_0 \cdot \left(1 - r^{n}\right)}{1 - r} \\ &= \frac{\displaystyle (-1) \cdot \left(1 - {(-1 / 2)}^{n}\right)}{1 - (-1/2)} \\ &= \frac{-1 + {(-1 / 2)}^{n}}{3/2} = -\frac{2}{3} + \frac{2}{3} \cdot {\left(-\frac{1}{2}\right)}^{n}\end{aligned}[/tex].

Evaluate the limit [tex]\displaystyle \lim\limits_{n \to \infty} S_{n}[/tex]:

[tex]\begin{aligned} \lim\limits_{n \to \infty} S_{n} &= \lim\limits_{n \to \infty} \left(-\frac{2}{3} + \frac{2}{3} \cdot {\left(-\frac{1}{2}\right)}^{n}\right) \\ &= -\frac{2}{3} + \frac{2}{3} \cdot \underbrace{\lim\limits_{n \to \infty} \left[{\left(-\frac{1}{2}\right)}^{n} \right] }_{0}= -\frac{2}{3}\end{aligned}}_[/tex].

Therefore, the partial sum of this series converges to [tex]\displaystyle \left(- \frac{2}{3}\right)[/tex].

Answer:

4 B

Step-by-step explanation:

Answer:

x+2^23(45*21)

Step-by-step explanation:

Answer:  ΔABC ≅ ΔADB

Step-by-step explanation:

In order to be similar, they must have the same angles.

    ΔABC                                  ΔADB                              ΔDBC

∠A = 180 - (2a + b)             ∠A = 180 - (2a + b)         ∠D = 180 - (a + b)

∠B = a + b                           ∠D = a + b                      ∠B = b

∠C = a                                 ∠B = a                            ∠C = a

ΔABC and ΔADB have the same angles so they are similar.

Answer:

Step-by-step explanation:

400/8.00/5.00/2750 tell me if incorect

Answer:

4/5 / 1/2=1 3/5

Step-by-step explanation:

Answer:

Below -2 Is -4.5 - 2.5 then between -2 and 1 -0.5 and above 1 is 0.5, 1.5, and  4

Step-by-step explanation:

Answer:

Anna and Ojo will have same amount after 13 days.

Step-by-step explanation:

Given that:

Anna has 300 naira

She saves 50 naira per day.

Let,

x be the number of days.

y be the amount saved

y = 50x + 300

Ojo has 1860 naira

He spends 70 naira per day.

Let,

x be the number of days

y be the amount left

y = 1860 - 70x

For equal amount, the equations will be equal

50x +300 = 1860 - 70x

50x + 70x = 1860 - 300

120x = 1560

Dividing both sides by 120

[tex]\frac{120x}{120}=\frac{1560}{120}\\x=13[/tex]

Hence,

Anna and Ojo will have same amount after 13 days.

Answer: 120% is 1.2 in decimal form.

215% 2.15

345%  345

450% 4.50

51% 0.51

63% 0.63

75% 0.75

86$ 0.86

Step-by-step explanation:

Answer:

B. 90

Step-by-step explanation:

Add them all, divide by 3.

88 + 90 + 92 = ?

270 = 270

270/3 = 90

Answer: 90

Step-by-step explanation:

You just add up all the numbers then divide by how many numbers there are.

( 88 + 90 + 92 = 270 ) There are 3 numbers so take 270 / 3 = 90.

Answer:

70 Litres

Step-by-step explanation:

Answer:

70 Liters

Step-by-step explanation:

Welcome

Step-by-step explanation:

1) 15 % games lost

2) 3/20

3) 271/500

4) 12/25

Answer:

the expression of perimeter is 2(l+b)

Answer:

5-35n

Step-by-step explanation:

5-35n

Just open the parenthesis and multiply by 5.

Answer:

5-35n

Step-by-step explanation:

Answer:

Top right

Step-by-step explanation:

Answer:

The bottom right triangle is both acute and scalene.

Explanation:

A scalene triangle is a triangle in which all 3 sides have different lengths. An acute triangle has 3 different angles under 90º. This triangle has 3 different lengths (8.3ft, 9ft, and 10 ft) and angles less than 90º (51º, 58º, and 71º); therefore, it's both acute and scalene.

Answer:

209 and 369 that's the answer

Answer:

Both answers are correct

Answer:

32$

Step-by-step explanation:

There's a 25% discount, so,

After cutting discount, the total will be 9.78 -(9.78×25%)

=7.335

Again, after adding tax, total amount will be : 7.335+ ( 9.78×7.75%)

=8.09

So, the total cost of 4 DVD is 4× 8.09 =32.36

Answer:

Step-by-step explanation:

as both sides are equal so

7x-6 = 3x+14

7x-3x = 14+6

4x = 20

x= 5

Now, put x in 7x-6 to find WZ

7(5)-6 = 29

Also, 3(5)+14 = 29

The measurement of the side WZ of rectangle WXYZ is 29.

A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°). The opposite sides of a rectangle are equal and parallel.

Given that, WXYZ is a rectangle, we need to find WZ,

As we know that, a rectangle is a type of parallelogram and opposite sides of a parallelogram are equal and parallel,

WZ and XY are opposite sides of the rectangle, therefore, are equal.

Thus,

WZ = XY

7x - 6 = 3x + 14

4x = 20

x = 5

Put x =5 in 7x - 6

WZ = 7(5) - 6

WZ = 29

Hence, the measurement of the side WZ of rectangle WXYZ is 29.

Learn more about rectangle, click;

https://brainly.com/question/29123947

#SPJ5

Answer:

ans will option 130 degree

The value of x in the given figure is 130 degrees.

The first step is to determine the value of all of the angles in the quadrilateral.

Angle x = 180 - 50 = 130

To learn more about quadrilaterals, please check: https://brainly.com/question/16595449

Answer:

84

Step-by-step explanation:

52%of math problem are pointless

52%of math problem = pointless

52% of 175

(52/100)×175

91 =pointless

math problem - pointless =not pointless

175 - 91 = 84

Answer:

3x +11 = 32

Step-by-step explanation:

hope this is correct! <3

Answer:

3x +11 = 32

3x = 32-11

3x = 21

x = 21/3

x = 7

check answer:

3(7)+11 = 32

21 + 11 = 32

32 = 32

LHS = RHS

Hence, verified