some 1 help me plz its algebra 1

Some 1 Help Me Plz Its Algebra 1

Answers

Answer 1
5

Rise/run. When x is 0, y is 4. When x is 2, y is 14. Y changed by 10 and x changed by 2. 10/2=5

Related Questions

Help. Urgent. Skenekeks

Answers

Answer:

D

Step-by-step explanation:

Plug in the numbers for the x-value and solve the equation.

| 3(80/3)/4 + 1 | = 16

| 3(-40/3)/4 + 1 | = 16

What is the percentage of $6 dollar tip on a $60 dollar bill?

Answers

Answer:

3.6

Step-by-step explanation:

set-up percentage like this!

[tex]\frac{part}{whole} =\frac{part}{whole}[/tex]

Then use what you know from the question to fill in the blanks

Answer: [tex]\frac{6}{100} =\frac{?}{60}[/tex]

Then: [tex]60[/tex] × 6 ÷ 100 = 3.6

Final Answer: 3.6

Solve this asap for me

Answers

Answer:

by using middle term break method

Step-by-step explanation:

9x^2 + 12x + 4

9x^2+ (6 + 6)x + 4

9x^2 + 6x + 6x + 4

3x(3x + 2) + 2(3x + 2)

(3x + 2)(3x + 2)

(3x + 2)^2

Which matrix represents the system of equations shown below?
2x - 5y = 4
-5y = 8
c
D
А
B
2 -547 2x -5y 47 52-547
-5 08 0 -5y8 0 -58
2 041
-5 -5 8
A. Matrix A
B. Matrix B
C. Matrix C
D. Matrix D

Answers

9514 1404 393

Answer:

  C.  Matrix C

Step-by-step explanation:

The usual form for an augmented matrix representation of a system of linear equations has the variable coefficients listed in a square matrix with an additional column at the right containing the constants in the standard-form equations. This is illustrated in Matrix C.

__

The variables in the equations are usually left out of the matrix. That is, the system of equations AX= B is usually represented by the augmented matrix A|B, rather than (AX)|B. Thus "Matrix B" is not the best choice.


4(x+9)=2x-6
Solve for x

Answers

Answer:

-21

Step-by-step explanation:

4(x+9) = 4x+36

4x+36 = 2x-6

    -36        -36

minus 36 from both sides

4x = 2x-42

2x = -42

-42/2 = -21

x = -21

Hi there!

We are given the equation below:

[tex] \large \boxed{4(x + 9) = 2x - 6}[/tex]

1. Expand 4 in the expression.

When expand in the expression, it is like multiply everything in the expression. So when we expand 4 in x+9, it becomes 4(x)+9(4).

[tex] \large{(4 \times x) + (9 \times 4) = 2x - 6} \\ \large{(4x) + (36) = 2x - 6}[/tex]

Cancel the brackets.

[tex] \large{4x + 36 = 2x - 6}[/tex]

2. Isolate x-term and solve for the variable.

Think it easy. If you want to isolate x-term then what should you do? Well simply swap sides, and change the operator/sign.

[tex] \large{4x - 2x = - 6 - 36}[/tex]

Finally, combine like terms.

[tex] \large{2x = - 42}[/tex]

Then divide both sides by 2 so we can finally leave only x-term.

[tex] \large{ \frac{2x}{2} = \frac{ - 42}{2} } \\ \large \boxed{x = - 21}[/tex]

3. Check the solution if it is right or wrong.

This step is optional but if you are not confident on your answer, this step is recommended.

To check the answer, we simply substitute the value of x which is -21 in the equation and see if both sides are equal or not. If both sides are equal then the answer is correct, if not then the answer is wrong. Therefore,

[tex] \large{4(x + 9) = 2x - 6 \longrightarrow 4( - 21 + 9) = 2 ( - 21) - 6} \\ \large{4( - 12) = - 42 - 6} \\ \large{ - 48 = - 48}[/tex]

Since both sides are equal when substitute in x = -21.

4. Answer

Hence, the answer for this equation is x = -21.

I hope this helps and let me know if you have any doubts!

Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some equations may be more than one kind. Do not solve.
a) dy/dx = (x − y)/x
b) (x + 1)dy/dx = −y + 20
c) dy/dx = 1/(x(x − y2))
d) dy/dx =(y^2 + y)/(x^2 + x)
e) dy/dx = 5y + y^2
f) y dx = (y − xy^2) dy
g) x dy/dx = ye^(xy) − x
h) 2xyy' + y^2 = 2x^2
i) y dx + x dy = 0
k) (x^2 + 2y/x) dx = (3 − ln x^2) dy
l) (y/x^2) dy/dx + e^(2x^3) + y^2 = 0

Answers

a) dy/dx = (x − y)/x=> This is a separable differential equation.b) (x + 1)dy/dx = −y + 20=> This is a linear first-order differential equation.c) [tex]dy/dx = 1/(x(x - y^2))[/tex]=> This is a separable differential equation.d) [tex]dy/dx = (y^2 + y)/(x^2 + x)[/tex]=> This is a separable differential equation.e)[tex]dy/dx = 5y + y^2[/tex]=> This is a Bernoulli differential equation.f) [tex]y dx = (y - xy^2) dy[/tex]=> This is a separable differential equation.g) [tex]x dy/dx = ye^{(xy)} - x[/tex] => This is a linear first-order differential equation.h) [tex]2xyy' + y^2 = 2x^2[/tex]=> This is a linear first-order differential equation.i) y dx + x dy = 0 => This is a separable differential equation.k) [tex](x^2 + 2y/x) dx = (3 - \text ln x^2) dy[/tex] => This is a linear first-order differential equation.l) [tex](y/x^2) dy/dx + e^{(2x^3)} + y^2 = 0[/tex] => This is a linear first-order differential equation.

Here, we have to classify each differential equation based on their characteristics:

a) dy/dx = (x − y)/x

This is a separable differential equation because the variables can be separated on different sides of the equation.

It's of the form dy/dx = g(x) - f(y)/h(y), where g(x) = x/x and h(y) = 1.

b) (x + 1)dy/dx = −y + 20

This is a linear first-order differential equation because it can be rearranged to the form y' + P(x)y = Q(x), where P(x) = -1/(x + 1) and Q(x) = 20/(x + 1).

c) [tex]dy/dx = 1/(x(x - y^2))[/tex]

This is a separable differential equation because the variables x and y can be separated on different sides of the equation.

d) [tex]dy/dx = (y^2 + y)/(x^2 + x)[/tex]

This is a separable differential equation because the variables x and y can be separated on different sides of the equation.

e)[tex]dy/dx = 5y + y^2[/tex]

This is a Bernoulli differential equation because it is of the form [tex]dy/dx = p(x)y + q(x)y^n[/tex], where p(x) = 0 and q(x) = 5x, n = 2.

f) [tex]y dx = (y - xy^2) dy[/tex]

This is a separable differential equation because the variables x and y can be separated on different sides of the equation.

g) [tex]x dy/dx = ye^{(xy)} - x[/tex]

This is a linear first-order differential equation because it can be rearranged to the form y' + P(x)y = Q(x), where P(x) = -1/x and [tex]Q(x) = e^{(xy)} - x^{(-1)[/tex].

h) [tex]2xyy' + y^2 = 2x^2[/tex]

This is a linear first-order differential equation because it can be rearranged to the form y' + P(x)y = Q(x), where P(x) = -2/x and Q(x) = 2x.

i) y dx + x dy = 0

This is a separable differential equation because the variables x and y can be separated on different sides of the equation.

k) [tex](x^2 + 2y/x) dx = (3 - \text ln x^2) dy[/tex]

This is a linear first-order differential equation because it can be rearranged to the form y' + P(x)y = Q(x), although it's not immediately obvious what P(x) and Q(x) are.

l) [tex](y/x^2) dy/dx + e^{(2x^3)} + y^2 = 0[/tex]

This is a linear first-order differential equation because it can be rearranged to the form y' + P(x)y = Q(x), where [tex]P(x) = -1/x^2[/tex] and [tex]Q(x) = -e^{(2x^3)} - y^2[/tex].

To know more about differential equation, visit:

brainly.com/question/1164377

#SPJ12

Raj is travelling to another country.
He flies for 5 hours at an average speed of 950 km/h on one plane.
He then flies for 6 hours 30 minutes at an average speed of 830 km/h on a second plane.
What is the total distance, in km, he travelled by plane?

Answers

Answer:

10145

Step-by-step explanation:

5 times 950 equals 4750

and 6.5 times 830 equals 5395

add first and second value

4750 + 5395 equals 10145

there is no arguing

Answer:

10145 km

Step-by-step explanation:

Time x speed = Distance

5 x 950 = 4750

6.5 x 830 = 5395

add together = 10145

The absolute value of -7

Answers

Answer:

7

Step-by-step explanation:

|-7|  means find the distance from 0

We take the non negative value

|-7| = 7

PLEASE HELP MEEEEEEE EMERGENCY :(​

Answers

Answer:

Ok ☺️✌️✌️✌️Ok ok ok ok

It costs $100 to join a fitness center plus a monthly fee you spent $700 last year at the fitness center how much was the monthly fee

Answers

Answer:

58.3

Step-by-step explanation:

divide 700 by 12

Answer:

$50

Step-by-step explanation:

The equation for this is:

700 = 12m + 100, where $700 is the total cost, m is the monthly fee, 12 is the number of months in a year, and $100 is the starting fee

Solve the equation:

700 = 12m + 100

12m = 600

m = 50

consider the polygon shown. Determine the value of y. PLEASE HELP​

Answers

Answer:

y = 64°

Step-by-step explanation:

From the picture attached,

m(∠E) = 90°

m(∠E) = m(∠D)

m(∠B) + 67° = 180° [pair of linear angles]

m(∠B) = 113°

m(∠C) + 75° = 180°

m(∠C) = 180° - 75°

           = 105°

Since, sum of interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides

For n = 5,

Sum of interior angles = (5 - 2) × 180°

                                     = 540°

m(∠A) + m(∠B) + m(∠C) + m(∠D) + m(∠E) = 540°

m(∠A) + 113° + 105° + m(∠D) + 90° = 540°

(m∠D) + m(∠D) = 540 - 308 [Since, m(∠A) = m(∠D)]

2(m∠D) = 232

m(∠D) = 116°

m(∠D) + y° = 180° [Linear pair of angles]

116 + y = 180

y = 64°

Solve the system x-2y+2z=9 y+2z=5 z=3
Enter the answer as an ordered triple, (X,Y,Z)

Answers

The last equation says z = 3, so that in the second equation we get

y + 2z = y + 6 = 5   ==>   y = -1

and in turn, the first equation tells us

x - 2y + 2z = x + 2 + 6 = x + 8 = 9   ==>   x = 1

So the solution to the system is (x, y, z) = (1, -1, 3).

The answer is (1, -1, 3)

A triangle has sides measuring 2 inches and 7 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
O A. 5sxs 9
O B. 2 sxs7
O C. 2 OD. 5

Answers

Answer is

5 gives the range of possible values for x.

ВС
2. In ATVW if VW is three meters longer than TV, TW
is 19 meters shorter than the sum of VW and TV,
and the perimeter of ATVW is 62 meters, find the length of VW.
20.75 m
15.75 m
25.5 m
21.75 m
None of the above

Answers

9514 1404 393

Answer:

  21.75 m

Step-by-step explanation:

The given relations tell us that ...

  VW = TV +3

  TW = VW +TV -19

  VW +TW +TV = 62

__

Solving the first equation for TW gives ...

 TV = VW -3

Substituting that into the second equation gives ...

  TW = 2VW -22

And using these expressions in the third equation, we have ...

  VW +(2VW -22) +(VW -3) = 62

  4VW = 87 . . . . . . . . collect terms

  VW = 21.75 . . . . . . divide by 4

The length of VW is 21.75 meters.

Point D, not shown below, is one of the four (4) vertices of rectangle ABCD. Find its position and state the coordinate of point D.

Answers

Answer:

Hi im not got with graphs

Step-by-step explanation:

The equation y = 50(1.05)x models the growth of a mule deer population introduced into Guadalupe National Park in December 2015. "X" represents the number of years after December 2015 while "y" represents the population at time "x". In what year will the mule deer population first reach 1500?


F. 2084

G. 2044

H. 2043

J. 2086

Answers

Answer: (f)

Step-by-step explanation:

Given

The growth equation is [tex]y=50(1.05)^x[/tex]

When population becomes 1500

[tex]\Rightarrow 1500=50(1.05)^x\\\Rightarrow 30=(1.05)^x\\\text{Taking log both sides}\\\Rightarrow \ln (30)=x\ln (1.05)\\\\\Rightarrow x=\dfrac{\ln (30)}{\ln (1.05)}\\\\\Rightarrow x=69.71[/tex]

Thus, after 69.71 years of year 2015 i.e. [tex]2015+69.71=2084.71[/tex]. In year 2084, it becomes 1500.

option (f) is correct.

Given that abcd ~Jklm. Find the value of x, y, and z​

Answers

Answer:

x = 7.2

y = 10

z = 6

Step-by-step explanation:

Since ABCD ~ JKLM, therefore, the ratio of their corresponding sides would be equal. Thus:

JK/AB = KL/BC = LM/CD = JM/AD

Substitute

12/x = y/6 = 15/9 = 10/z

✔️Find x:

12/x = 15/9

12/x = 5/3

Cross multiply

x*5 = 3*12

5x = 36

x = 36/5

x = 7.2

✔️Find y:

y/6 = 15/9

y/6 = 5/3

Cross multiply

y*3 = 5*6

3y = 30

y = 30/3

y = 10

✔️Find z:

15/9 = 10/z

5/3 = 10/z

Cross multiply

5*z = 10*3

5z = 30

z = 30/5

z = 6

A brick staircase has a total of 17 steps The bottom step requires 131 bricks. Each successive step requires 5 less bricks than the prior one. How many bricks are required to build the staircase?

Answers

Answer: 1547 bricks are required to build the staircase.

Step-by-step explanation:

We are given:

Number of bricks in the first step, [tex]a_1[/tex] = 131

Number of bricks in the second step, [tex]a_2[/tex] = 131 - 5 = 126

Number of bricks in the third step, [tex]a_3[/tex] = 126 - 5 = 121

Sequence become:

131, 126, 121, .....

These are in arithmetic progression where a = 131 and d (common difference) = -5

To calculate the sum of an AP, we use the formula:

[tex]S_n=\frac{n}{2}[2a+(n-1)d][/tex]

where,

n = number of terms = 17

Putting values in above equation, we get:

[tex]S_n=\frac{17}{2}[2(131)+(17-1)(-5)]\\\\S_n=\frac{17\times 182}{2}=1547[/tex]

Hence, 1547 bricks are required to build the staircase.

x( 3x - 2y + 4z)x = -2, y = 4, and z = -3

Answers

Chick hhhfrtughgfghhgtyhhg

Please answer my question step be step

Answers

9514 1404 393

Answer:

  z = 20

  m∠A = 70°

Step-by-step explanation:

Step 0: read and understand the question. Identify the given information and the information requested.

Step 1: consult your knowledge of inscribed quadrilaterals to determine that opposite angles are supplementary.

Step 2: identify angles A and C as being marked with expressions in z.

Step 3: use those expressions and the relation in Step 1 to write an equation.

  A + C = 180°

  (4z -10)° +(10 +5z)°= 180°

Step 4: solve for z.

  9z = 180 . . . . simplify, divide by °

  z = 20 . . . . . . divide by 9

Step 5: use the relation between z and the measure of angle A to answer the question.

  m∠A = (4z -10)° = (4·20 -10)°

  m∠A = 70°

Step 6: check your answer. This can be done by making sure that angle C is supplementary to angle A.

  C = (10 +5z)° = (10 +5·10)° = 110° = 180° -70° ∴ answer checks OK

Calculate the unit price. Round to the nearest cent, if necessary.

0.75 lb of salami for $2.65

$4.64 per lb of salami
$2.65 per lb of salami
$3.53 per lb of salami
$1.99 lb of salami
per

Answers

Answer:

$3.53 per lb of salami

Step-by-step explanation:

0.75 lb of salami for $2.65

The price per of salami will be :

0.75 lb = $2.65

1 lb = x

Using cross multiplication :

0.75 * x = $2.65 * 1

0.75x = $2.65

Divide both sides by 0.75

0.75x / 0.75 = $2.65 / 0.75

x = $3.533

This means that :

The price per unit of salami is $3.53

Answer:

0.75 lb of salami for $2.65 is $3.53 per lb of salami.

A book store had 30816 exercise books which were paclced in cartons each carton contained 24 exercise books the mass of an empty carton was 2kg and a full carton 12kg

Answers

30,816 books would go into 1,284 containers which would weigh 15,408kg with all the books in them or 2,568kg with the books not in them.

PLEASE HELP WKLL MARK IF YOU HELP ME !!!

Answers

Answer :

Let in Triangle abc,

a=90,

b = (we have to find)

c = (we have to find)

c + 144=180 (linear pair)

c = 180 - 144

c = 36

a + b + c = 180 (Angle sum property)

90 + b + 36 = 180

126 + b = 180

b = 180-126

b = 54

Which of the following is the square of a binomial?

Answers

Answer:

[tex]16 {x}^{2} + 24xy + 9 {y}^{2} [/tex]

Step-by-step explanation:

U can reduce this into

[tex](4x + 3y) {}^{2} [/tex]

Which is a square.

Now,

16x^2 + 24xy + 9y^2

16x^2 + 12xy + 12xy + 9y^2

4x ( 4x + 3y ) + 3y ( 4x + 3y )

( 4x + 3y ) ( 4x + 3y )

( 4x + 3y )^2

I hope you understand...

Mark me as brainliest...

length 21cm area 315cm2 find the breath ​

Answers

Answer:

Breadth = 15 cm

Step-by-step explanation:

Area = length x breadth

315 = 21 x breadth

[tex]\frac{315}{21} = \frac{21}{21} \times breadth[/tex]                 [ dividing both sides by 21 ]

[tex]15 = 1 \times breadth\\\\breadth = 15 \ cm[/tex]

___________________________________

Symbols of:

[tex]\quad\quad\quad\quad\tt{A = A rea}[/tex]

[tex]\quad\quad\quad\quad\tt{ l = length} [/tex]

[tex]\quad\quad\quad\quad\tt{ b \: = breadth} [/tex]

Given that:

[tex]\quad\quad\quad\quad\tt{A = 315 {cm}^{2} }[/tex]

[tex]\quad\quad\quad\quad\tt{l = 21cm}[/tex]

[tex]\quad\quad\quad\quad\tt{b = \: ? }[/tex]

Formula for breadth (b):

[tex]\quad\quad\quad\quad\tt{breadth = \frac{Area}{length} }[/tex]

Solution:

[tex]\quad\quad\quad\quad\tt{b = \frac{315 {cm}^{2} }{21cm} }[/tex]

[tex]\quad\quad\quad\tt{\:\:b = {15cm}}[/tex]So, the breadth (b) is:

[tex]\quad\quad\quad\quad\tt \boxed{ \boxed{ \color{magenta}{b = 15cm }}}[/tex]

___________________________________

#CarryOnLearning

✍︎ C.Rose❀

can someone tell me what the diffrence of 8 through 5 is

Answers

Answer:

The answer is 3.

Step-by-step explanation:

What is the difference between 8 and 5? In mathematics, the difference between two numbers usually means to subtract them. So if you want to find the difference, you take the bigger one minus the smaller one. So, the difference between 8 and 5 is 3.

Answer:

3

Step-by-step explanation:

What is the difference between 8 and 5? In mathematics, the difference between two numbers usually means to subtract them. So if you want to find the difference, you take the bigger one minus the smaller one. So, the difference between 8 and 5 is 3.

The length of a rectangle is four times its width.
If the area of the rectangle is 100 yd”, find its perimeter.

Answers

Answer: 50yd

Step-by-step explanation:

We know that the area of any rectangle is length times width.  The perimeter is the sum of twice the length and twice the width.

Let width = x

Let length = 4x

Area = 100m2

Next, we can write an equation using these variables and formula for area.

4x2 = 100

x2 = 25

x = -5      and        x = 5

Since the dimensions cannot be negative, we accept the positive value:

x = 5

Next, we can substitute this value of x into the variables.

width = 5 m

length = 20 m

Finally, we can find the perimeter by plugging in these dimensions into the perimeter formula,

Perimeter = 2(5 m) + 2(20 m)

              = 10 m + 40 m

              = 50 m  

The price of a 5-minute phone call is $1.75. What is the price of a 19-minute phone call?

Answers

Answer:

$6.65

Step-by-step explanation:

You could start by seeing the price of a 1 minute phone call. if you divide 1.75 by 5 it is 0.35. that means 1 minute costs $0.35. so the equation would be 0.35 times 19. which is 6.65 dollars.

5 minutes call = $1.75

1 minute call = $1.75/5 = $0.35

19 minutes call = $0.35 × 19 = $6.65

Can somebody help me? I feel like this is wrong

Answers

The y-intercept is correct but the slope is wrong , go take any 2 points from the graph and use the rule , y2-y1/x2-x1 , to find the slope

Which I got was y=-1/3x+5

I really hope that helps and my deepest apologies if my answer turned out wrong!!
The answer is

y= -0.3x +5

Consider x1= 9
Y1=2
x2= 0
y2 = 5

Slope is

m = 3 / -9 = 1 / -3 = -0.33333

The entered points belong to a decreasing, linear function.
Equation: y = -0.33333x + 5.


m = 3 / -9 = 1 / -3 = -0.33333

The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at $2000. The students sold 2357 raffle tickets at $5 per ticket.

Required:
a. Kevin bought ten tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean?
b. Expected earnings can be found by multiplying the value of the cruise by the probability that Kevin will win. What are Kevin's expected earnings?
c. How much did Kevin effectively contriute to the Samaritan Center for the Homeless?

Answers

Answer:

A) The probability that Kevin will win the spring break cruise is 0.42%.

B) Kevin's expected earnings are $ 8.4.

C) Kevin effectively contributed with $ 50.

Step-by-step explanation:

Since the college student senate is sponsoring a spring break Caribbean cruise raffle, and the proceeds are to be donated to the Samaritan Center for the Homeless, ya local travel agency donated the cruise, valued at $ 2000, and the students sold 2357 raffle tickets at $ 5 per ticket, to determine A) if Kevin bought ten tickets, what is the probability that Kevin will win the spring break cruise to the Caribbean; B) Kevin's expected earnings and C) how much did Kevin effectively contribute to the Samaritan Center for the Homeless; the following calculation must be performed:

A) 10/2357 = 0.0042 x 100 = 0.42

Therefore, the probability that Kevin will win the spring break cruise is 0.42%.

B) 2000 x 0.0042 = 8.4

Therefore, Kevin's expected earnings are $ 8.4.

C) 5 x 10 = 50

Kevin effectively contributed with $ 50.

Other Questions
FIRST ANSWER I WILL GIVE BRAINLEST The sound from a trumpet radiates uniformly in all directions in 20C air. At a distance of 5.00 m from the trumpet the sound intensity level is 52.0 dB. The frequency is 587 Hz. (a) What is the pressure amplitude at this distance explain how a lever can act as a force multiplier Jason and Donny painted a house and received $1.200. To complete the painting job Jason painted 4 hours 25 minutes and Donny spent 2 hours and 15 minutes. If they split the $1.200 in proportion to the amount of time each spent painting, how much did Donny receive? How many solutions exist for the system of equations in the graph? What is the slope-intercept form of the equation representing this function? What does the author think is the most important reason to support solar technology?1.Solar technology will make the United States energy-independent.2.Solar energy is cheap. If you get paid 30.00 per hour and you worked 8.5 hours how much do you get paid A small town experienced an explosive population increase Originally the town had population 170 within 3 years the town's population increased by 400% what is the town current population the quotient of 4 divided by 7 is a decimal number. how many digits in the quotient are overlined? Which two pairs of words represent the use of alliteration in the poem?For A Lady I Knowby Countee CullenShe even thinks that up in heavenHer class lies late and snoresWhile poor black cherubs rise at sevenTo do celestial chores.Reset The product of a number, x, and 18 is 113.4.Which equation and value of x represent this relationship Who is the protagonist of the story? Describe them? In the bully book what is substances in scientific methods In AUVW, W = 840 cm, u = 350 cm and ZV=63. Find the area of AUVW, to thenearest square centimeter. Select the correct answer. Which statement describes ? A. It is an irrational number. B. It is a rational number that has a repeating decimal expansion. C. It is a rational number that has a terminating decimal expansion. D. It is not a rational number because it is negative. Benny spends all of his money buying wine and cheese. The marginal utility of the last bottle of wine he bought is 60, and the marginal utility of the last block of cheese he bought is 30. The price of wine is $3, and the price of cheese is $2. Benny: Group of answer choices is buying wine and cheese in the utility-maximizing amounts. should buy more wine and less cheese. should buy more cheese and less wine. is spending too much money on wine and cheese. if a number is divided by three and then two is added,the answer is twenty-nine.what is the number A kite is staked to the ground and blowing in the wind. It currently has a string let out to a length of 45 meters. It has an altitude of 38 feet. To the nearest tenth of a degree, find the angle of elevation. ______ Which statement is true?A bank interest lower than inflation means more purchasing power.Nominal rates are an accurate figure of purchasing power.Real interest measures the power of the saved moneyReal interest is the rate quoted in loan and deposit agreements.