Can you please answer number 23. And number 24.
Please please show me how to do it and tell me the answers

Answer:

Length  [tex]=25[/tex] inches

Width [tex]= 15[/tex] inches

Step-by-step explanation:

Let [tex]l[/tex] = length of rectangle, [tex]w[/tex] = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

[tex]lw = 375[/tex]

[tex]2l+2w=80[/tex]

So:

[tex]l+w = 80\div2[/tex]

[tex]=40[/tex]

[tex]l=40-w[/tex]

Now, we can use substitution to find the value of [tex]w[/tex]:

[tex]lw = 375[/tex]

[tex](40-w)w = 375[/tex]

[tex]40w-w^2 = 375[/tex]

[tex]375+w^2-40w = 0[/tex] (Quadratic equation)

[tex](w-15)(w-25) = 0[/tex]

∴ [tex]w = 15, 25[/tex]

We can use substitution again to find the value of [tex]l[/tex]

[tex]lw = 375[/tex]

[tex]l=375\div w[/tex]

[tex]=25,15[/tex]

∵ Length usually refers to the longer side of a rectangle, ∴ length [tex]=25[/tex] inches and width [tex]=15[/tex] inches.

Hope this helps :)

Answer:

1. Steve's age is 18 and Anne's age is 8.

2. Max's age is 17 and Bert's age is 11.

3. Sury's age is 19 and Billy's age is 9.

4. The man's age is 30 and his son's age is 10.

Step-by-step explanation:

1. Let us assume that:

S = Steve's age now

A = Anne's age now

Therefore, in four years, we have:

S + 4 = (A + 4)2 - 2

S + 4 = 2A + 8 - 2

S + 4 = 2A + 6 .................. (1)

Three years ago, we have:

S - 3 = (A - 3)3

S - 3 = 3A - 9 ................................ (2)

From equation (2), we have:

S = 3A - 9 + 3

S = 3A – 6 …………. (3)

Substitute S from equation (3) into equation (1) and solve for A, we have:

3A – 6 + 4 = 2A + 6

3A – 2A = 6 + 6 – 4

A = 8

Substitute A = 8 into equation (3), we have:

S = (3 * 8) – 6

S = 24 – 6

S = 18

Therefore, Steve's age is 18 while Anne's age is 8.

2. Let us assume that:

M = Max's age now

B = Bert's age now

Therefore, five years ago, we have:

M - 5 = (B - 5)2

M - 5 = 2B - 10 .......................... (4)

A year from now, we have:

(M + 1) + (B + 1) = 30

M + 1 + B + 1 = 30

M + B + 2 = 30 .......................... (5)

From equation (5), we have:

M = 30 – 2 – B

M = 28 – B …………………… (6)

Substitute M from equation (6) into equation (4) and solve for B, we have:

28 – B – 5 = 2B – 10

28 – 5 + 10 = 2B + B

33 = 3B

B = 33 / 3

B = 11

Substituting B = 11 into equation (6), we have:

M = 28 – 11

M = 17

Therefore, Max's age is 17 while Bert's age is 11.

3. Let us assume that:

S = Sury's age now

B = Billy's age now

Therefore, now, we have:

S = B + 10 ................................ (7)

Next year, we have:

S + 1 = (B + 1)2

S + 1 = 2B + 2 .......................... (8)

Substituting S from equation (7) into equation (8) and solve for B, we have:

B + 10 + 1 = 2B + 2

10 + 1 – 2 = 2B – B

B = 9

Substituting B = 9 into equation (7), we have:

S = 9 + 10

S = 19

Therefore, Sury's age is 19 while Billy's age is 9.

4. Let us assume that:

M = The man's age now

S = His son's age now

Therefore, now, we have:

M = 3S ................................... (9)

Five years ago, we have:

M - 5 = (S - 5)5

M - 5 = 5S - 25 ................ (10)

Substituting M from equation (9) into equation (10) and solve for S, we have:

3S - 5 = 5S – 25

3S – 5S = - 25 + 5

-2S = - 20

S = -20 / -2

S = 10

Substituting S = 10 into equation (9), we have:

M = 3 * 10

M = 30

Therefore, the man's age is 30 and his son's age is 10.

Answer: Its x5/12

Step-by-step explanation: Hope this helps!!1 <3

Answer:

3

Step-by-step explanation:

3 because 37° and 53° these sum is 90°.

Answer:

3. cos(53)=sin(37)

Step-by-step explanation:

let y be the third side

cos(53)= adj/hyp

           =y/16

sin(37)=opp/hyp

          =y/16

therefore, sin(37)=cos(53)=y/16

Answer:

δy

δx = 2x − 4 + δx;

and the limit as δx → 0 is

dy

dx = lim

δx→0

µδy

δx¶

= 2x − 4.

Step-by-step explanation:

dy/2d=(2-1)(2+3)

dy/2d=4+6-2-3

dy/2d=5

dy=5(2d)=10d

2d=5/dy

dy=5×(5/dy)= 25/dy

2d=5/dy

dy^2=25

dy=√25=5

2d=5/dy=5/5=1

d=1/2

dy=1/2×10=5 y=10

plug all of the values

5/(1/2×2)=5

=

4+6-2-3=5

so finally: 5=5

any questions?

This question is incomplete, the complete question is;

Students in an introductory college economics class were asked how many credits they had earned in college, and how certain they were about their choice of major. Their replies are summarized below.

credits earned        very           deg.of certainty           very          Row Total

                           uncertain     somewhat certain        certain                                                

under10                    24                         16                          6                  46

10 through 59          16                           8                          20               44

60 or more               2                           14                          22               38

col total                    42                         38                         48               128

Under the assumption of independence, the expected frequency in the upper left cell is:__________.

A. 12.47

B. 14.56

C. 2.00

D. 11.09

Answer:

Under the assumption of independence, the expected frequency in the upper left cell is 12.47

Option A) 12.47 is the correct Option

Step-by-step explanation:

Given the data in table in the question;

the expected frequency in the upper left cell will be;

Eij = (Ti × Tj) / N

Row total Ti = 38

Column total Tj = 42  

Total frequency N = 128

so we substitute

Eij = (38 × 42) / 128

= 1596 / 128

= 12.468 ≈ 12.47

Therefore Under the assumption of independence, the expected frequency in the upper left cell is 12.47

Option A) 12.47 is the correct Option

Answer:

Step-by-step explanation:

43

Answer:

x = 12 and y = 22

Step-by-step explanation:

It is given that,

3 times the difference of x and y is -30

3(x-y) = -30

3x-3y = -30 ....(1)

2/3 of x plus 1/2 of y is 19.

[tex]\dfrac{2x}{3}+\dfrac{y}{2}=19\\\\\dfrac{4x+3y}{6}=19\\\\4x+3y=114\ ...(2)[/tex]

Add equation (1) and (2).

3x-3y + 4x+3y = -30 +114

7x = 84

x = 12

Put the value of x in equation (1)

3x-3y = -30

3(12)-3y = -30

36+30 = 3y

3y = 66

y = 22

Hence, the value of x and y are 12 and 22.

Answer:

1

Step-by-step explanation:

2x + 1 = -3x + 6

add 3x

5x + 1 = 6

subtract 1

5x=5

Divide by 5

x=1

If this is correct, please mark brainliest!

Answer:

x=7

Step-by-step explanation:

2x + 1 = 15

-3x+6 = - 15

Since they are equal the equation is true

Answer:

9

Step-by-step explanation:

plug in t=2 into equation

so

13-2(2)

=13-4

=9

Answer:

it's the last choice, by process of elimination that's the only one that includes the 4. and of course the math adds up

Answer:

The zero is x = 3/2 = 1.5

Step-by-step explanation:

We recognize that the trinomial  4 x^2 - 12 x + 9 is a perfect square trinomial, which comes from the following squared binomial:

(2 x - 3)^2

Therefore, the zeros are the x-values that verify the following:

(2 x - 3)^2= 0

that is   (2 x - 3) = 0 and solving for "x":

2 x = 3

x = 3 / 2

x = 1.5

Answer:

option b is the answer because if we open drain then depth of water will decrease continuously with time and in option b graph it is clearly visible that depth and time are inversely proportional to each other so if time increases then depth of water decrease.

Answer:

b

Step-by-step explanation:

Answer:

y=5x

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

When you divide each y-value by its corresponding x-value, you get 5.

For example, 10/2 = 5; 20/4 = 5

y is always 5 times x.

y = 5x

Answer: 5

Answer:

A. 16/20

General Formulas and Concepts:

Trigonometry

Step-by-step explanation:

Step 1: Identify

Angle θ

Opposite Leg = 16

Hypotenuse = 20

Step 2: Find Ratio

Answer:

A. 16/20

Step-by-step explanation:

The sine ratio is the opposite leg over the hypotenuse, opp/hyp.

For angle theta, the opposite leg is 16. The hypotenuse is 20.

sin (theta) = 16/20

Answer: A. 16/20

Answer:

Grandfather is 72 and granddaughter is 8

Step-by-step explanation:

f is grandfather and d is granddaughter.

f = 9d

f+8 = 5(d+8)

9d+8=5d+40

4d=32

d=8

f=9*8=72

Answer:

the grandpa is 72 the little girl is 8

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

simplify the radical by breaking the radicand up into the product of known factors.assuming real numbers

Answer:

an equation

Step-by-step explanation:

this is because there is an unknown value (some number)

Step-by-step explanation:

If there were 7 items, the number of ways to choose 7 out of the 7 items is only 1 way, which is to get all of them.

=> 7C7 = 1.

Answer:

[tex]\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} \ = \ 2x^5-8x^2+2x-2[/tex]

Step-by-step explanation:

[tex]\displaystyle{\frac{d}{dx} \int \limits_{2x}^{x^2} t^2+1 \ \text{dt} = \ ?[/tex]

We can use Part I of the Fundamental Theorem of Calculus:

Since we have two functions as the limits of integration, we can use one of the properties of integrals; the additivity rule.

The Additivity Rule for Integrals states that:

We can use this backward and break the integral into two parts. We can use any number for "b", but I will use 0 since it tends to make calculations simpler.

We want the variable to be the top limit of integration, so we can use the Order of Integration Rule to rewrite this.

The Order of Integration Rule states that:

We can use this rule to our advantage by flipping the limits of integration on the first integral and adding a negative sign.

Now we can take the derivative of the integrals by using the Fundamental Theorem of Calculus.

When taking the derivative of an integral, we can follow this notation:

For the first term, replace [tex]\text{t}[/tex] with [tex]2x[/tex], and apply the chain rule to the function. Do the same for the second term; replace

Simplify the expression by distributing [tex]2[/tex] and [tex]2x[/tex] inside their respective parentheses.

Rearrange the terms to be in order from the highest degree to the lowest degree.

This is the derivative of the given integral, and thus the solution to the problem.

Answer:

[tex]20[/tex]

Step-by-step explanation:

[tex]-----------------------------------[/tex]

[tex]\frac{32}{1.6}[/tex] = [tex]\frac{16}{0.8}[/tex] = [tex]\frac{8}{0.4}[/tex] = [tex]\frac{4}{0.2}[/tex] = [tex]\frac{2}{0.1}[/tex]

[tex]-----------------------------------[/tex]

[tex]Since[/tex] [tex]you[/tex] [tex]could[/tex] [tex]divide[/tex] [tex]it[/tex] [tex]to[/tex] [tex]0.1[/tex], [tex]just[/tex] [tex]switch[/tex] [tex]the[/tex] [tex]decimal[/tex] [tex]with[/tex] [tex]the[/tex] [tex]0[/tex] [tex]and[/tex] [tex]take[/tex] [tex]away[/tex] [tex]the[/tex] [tex]decimal[/tex] [tex]point.[/tex] [tex]You[/tex] [tex]will[/tex] [tex]get[/tex] [tex]10[/tex]. [tex]Lastly[/tex], [tex]change[/tex] [tex]the[/tex] [tex]division[/tex] [tex]to[/tex] [tex]multiplication.[/tex]

( Remember that this does not apply to all equations. )

[tex]-----------------------------------[/tex]

[tex]When[/tex] [tex]you[/tex] [tex]multiply[/tex] [tex]10\cdot2[/tex], [tex]you[/tex] [tex]get[/tex] [tex]20.[/tex] [tex]Which[/tex] [tex]is[/tex] [tex]the[/tex] [tex]answer.[/tex]

[tex]-----------------------------------[/tex]

Hope this helps! <3

[tex]-----------------------------------[/tex]

Answer:

The answer is 1

Step-by-step explanation:

30 minus 24 is 6 and 6 divided by 6 is 1

Answer:

no

Step-by-step explanation:

it has no number behind it so it is just 12 which is a integer

Answer:

Amelia is correct.

According to Google, an integer is a whole number, not a fraction. Therefore, she is correct.