Solve y/2+22=38 for y

Answers

Answer 1

Answer:

The answer is y = 912.

Step-by-step explanation:

Solve Y/2+22=38 For Y

Related Questions

Help

3p - 2 = - 5

two step equation

Answers

Add 2
3p = -3
Divide by 3
p = -1

Answer:

P=2,3

Step-by-step explanation:

3p=5+2

Then you divide

3/3=7/3

Kay incorrectly measured a window as 21 inches wide. The actual width was 24 inches. What was the percent error of case measurements? A. 12.5% B. -12.5% C. 87.5% D. -87.5%

Answers

the error difference is simply 24 - 21 = 3.

now, if we take 24(corrected value) to be the 100%, what's 3 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 24 & 100\\ 3& x \end{array} \implies \cfrac{24}{3}~~=~~\cfrac{100}{x} \\\\\\ 8 ~~=~~ \cfrac{ 100 }{ x }\implies 8x=100\implies x=\cfrac{100}{8}\implies x=12.5\)

FILL THE BLANK. in an instruction like: z = x y, the symbols x, y, and z are examples of _____.

Answers

In an instruction like "z = x y," the symbols x, y, and z are examples of variables.

Variables are placeholders that represent unknown or changing values in mathematical expressions or equations. They allow us to generalize mathematical relationships and solve problems using algebraic methods.

In mathematics, variables are symbols that represent unknown or varying quantities. They are used to express mathematical relationships, equations, and formulas.

In the given instruction "z = x y," the symbols x, y, and z are variables.

In this case, x and y represent the input values, and z represents the output or result of the mathematical operation defined by the equation.

Variables are used extensively in algebra to solve equations, manipulate expressions, and analyze mathematical relationships. They enable us to express and solve problems symbolically, without knowing the specific values of the variables.

By assigning specific values to variables, we can evaluate expressions, solve equations, and find solutions to mathematical problems.

Variables can represent a wide range of quantities, including numbers, measurements, constants, or even abstract concepts. They provide flexibility and generality in mathematical modeling and problem-solving.

By using variables, we can establish connections between different mathematical quantities and derive meaningful conclusions based on their relationships.

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8 inches, 15 inches, and 16 inches. Is this a right triangle?

Answers

no it isnttttttttttttt

Answer: nope, Its not. :)

4


Can someone help me pls!!!

Can someone help me pls!!!

Answers

Answer:

First one: Function

Second one: not a function (a function cannot have two outputs)

Third one: Function

Last one: Not a function (doesn't pass vertical line test)

Step-by-step explanation:

Hope it helps!

Answer:

The first one is a function.

The second one is not a function.

The third one is a function.

The fourth one is not a function.

simplify the following expressions:
y(0.5+8)

A. 8.5y

B. 0.5 + 8y

C. 0.5y - 8y


I NEED HELP WITH THISS

Answers

Answer:    8.5y

Explanation:

The 0.5+8 simplifies to 8.5

It might help to think of 8 as 8.0

So,

y(0.5+8)

y(8.5)

8.5y

Or you could say it like this

y(0.5+8)

0.5y+8y

8.5y

the second step results from the distributive property.

I need help plz help me I am not good at math HELP

I need help plz help me I am not good at math HELP

Answers

Answer:

600 boys

800 girls

Step-by-step explanation:

Ratio is 3:4

let total number of boys be x

3/4=x/1400-x

4x=3(1400-x)

4x=4200-3x

7x=4200

x=600

600 boys

1400-600 = 800 girls

it would be 800 girls

PLEASE HELP HELP ASAP ASAPP WILL GIVE 100 POINTS AND BRAINLEST! PLUS MY THANKS AND ADMIRATION PLEASE PLEASE!!

PLEASE HELP HELP ASAP ASAPP WILL GIVE 100 POINTS AND BRAINLEST! PLUS MY THANKS AND ADMIRATION PLEASE
PLEASE HELP HELP ASAP ASAPP WILL GIVE 100 POINTS AND BRAINLEST! PLUS MY THANKS AND ADMIRATION PLEASE
PLEASE HELP HELP ASAP ASAPP WILL GIVE 100 POINTS AND BRAINLEST! PLUS MY THANKS AND ADMIRATION PLEASE
PLEASE HELP HELP ASAP ASAPP WILL GIVE 100 POINTS AND BRAINLEST! PLUS MY THANKS AND ADMIRATION PLEASE
PLEASE HELP HELP ASAP ASAPP WILL GIVE 100 POINTS AND BRAINLEST! PLUS MY THANKS AND ADMIRATION PLEASE

Answers

Answer:

First Picture ⇒ [B] a = -2, b = 1, and c = -5

Second Picture ⇒ First step: Identify a = 1, b = 3, c = -4

                          \(x=\frac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \left(-4\right)}}{2\cdot \:1}\)

                             \(x=\frac{-3\pm 5\sqrt{25}}{2}\)

                           \(x=\frac{-3\pm \:5}{2}\)

                        \(x=\frac{-3+5}{2},\:x=\frac{-3-5}{2\c}\)

Third Picture ⇒ Missing Info

Fourth Picture ⇒ [A] \(x=-\frac{5}{2},\:x=-3\)

Fifth Picture ⇒ \(x=\frac{5\pm\sqrt{1} }{2}\)

Step-by-step explanation:

-------------------------------------------------------------------------------------------------------------

Identify the a,b, and c-values for this equation:

y = -2x²  + x -5  

Quadratic Formula:

ax²+bx+c=0

−2x²+1x−5=0

a = -2, b = 1, and c = -5

-------------------------------------------------------------------------------------------------------------

Order the steps for solving this equation using the quadratic formula.

x²  + 3x - 4 = 0

Solving to see what are the steps:

First step: Identify a = 1, b = 3, c = -4

\(x=\frac{-3\pm \sqrt{3^2-4\cdot \:1\cdot \left(-4\right)}}{2\cdot \:1}\)

\(x=\frac{-3\pm 5\sqrt{25}}{2}\)

\(x=\frac{-3\pm \:5}{2}\)

\(x_1=\frac{-3+5}{2\cdot \:1},\:x_2=\frac{-3-5}{2\cdot \:1}\)

-------------------------------------------------------------------------------------------------------------

Use the quadratic formula to find the solution set for 2x² + 15 = -11x.

Add 11x to both sides:

2x² + 15+11x = -11x+11x

Simplify

2x² + 11x+15 = 0

Now solve with quadratic formula..

\(x_{1,\:2}=\frac{-11\pm \sqrt{11^2-4\cdot \:2\cdot \:15}}{2\cdot \:2}\)

\(x_{1,\:2}=\frac{-11\pm \:1}{2\cdot \:2}\)

\(x_1=\frac{-11+1}{2\cdot \:2},\:x_2=\frac{-11-1}{2\cdot \:2}\)

\(x=-\frac{5}{2},\:x=-3\)

Hence, [A] \(x=-\frac{5}{2},\:x=-3\)

-------------------------------------------------------------------------------------------------------------

Suppose you are solving a quadratic equation and this is your work so far...

x  ²  - 5x + 6 = 0

Thus, we have:

\(x=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\cdot \:6}}{2\cdot \:1}\)

\(x=\frac{-\left(-5\right)\pm \:1}{2\cdot \:1}\)

\(x=\frac{5\pm\sqrt{1} }{2}\)

\(x_1=\frac{-\left(-5\right)+1}{2\cdot \:1},\:x_2=\frac{-\left(-5\right)-1}{2\cdot \:1}\)

\(x=3,x=2\)

-------------------------------------------------------------------------------------------------------------

Kavinsky

Choose the correct simplification of the expression (2x^3)^5
32x^8
32x^15
10x^8
10x^15​

Answers

Answer:

\( 32x^{15} \)

Step-by-step explanation:

\( (2x^3)^5 = 2^5(x^3)^5 = 2^5x^{15} = 32x^{15} \)

Which number line shows the approximate location of -3x

Which number line shows the approximate location of -3x

Answers

Answer:

a

Step-by-step explanation:

On a certain hot​ summer's day, 762 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $1268.50.How many children and how many adults swam at the public pool that​ day?

Answers

Let's call the number of children who swam at the public pool "x". The number of adults who swam would be 762 - x. The total revenue from the children would be $1.50 per child * x children = $1.50x. The total revenue from the adults would be $2.00 per adult * (762 - x) adults = $2.00(762 - x).

We know that the total revenue was $1268.50, so we can set up an equation:

$1.50x + $2.00(762 - x) = $1268.50

Expanding the equation:

$1.50x + $1524 - $2.00x = $1268.50

Simplifying the equation:

$0.50x + $1524 = $1268.50

Subtracting $1524 from both sides:

$0.50x = -$255.50

Dividing both sides by -0.50:

x = 511

So, there were 511 children who swam at the public pool, and 762 - 511 = 251 adults.

Find the geometric mean of 50 and 75

Answers

\(\cfrac{x}{50}=\cfrac{75}{x}\implies x^2=(50)(75)\implies x^2=3750\implies x=\sqrt{3750}\implies x=25\sqrt{6}\)

The geometric mean of two numbers 50 and 75 is 61.23.

We have,

To find the geometric mean of two numbers, multiply the numbers together and then take the square root of the result.

Geometric Mean = √(Number 1 * Number 2)

Given the numbers 50 and 75:

Geometric Mean = √(50 * 75)

= √(3750)

≈ 61.23

Therefore,

The geometric mean of two numbers 50 and 75 is 61.23.

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Question 7 0/1 pts Suppose there are 2 ingredients used to make Twizzlers: plastic (×1) and red goop (x2). The FDA limits the amount of plastic in licorice to no more than 75%. Which of the following represents this constraint? 3×1−×2>=0 ×1−3×2<=0 ×1−3×2>=0 ×1⋅3×2>−0 Question 8 1/1pts Consider the following linear program, which maximizes profit for two products-regular (R) and super (S): Ido owns a pizzeria that is also a popular place to get a beer. The state of Virginia hates bars, and requires all alcohol selling establishments to have alcohol revenues less than food revenues (or something like that...). At his current prices, this means Ido must sell no more than 3 beers per pizza. Let ×1= beer; ×2= pizza. Which of the following represents this constraint?
3×1−×2<=0
3×1−×2>=0
×1−3×2=0
×1+3×2>0

Question 7 0/1pts Suppose there are 2 ingredients used to make Twizzlers: plastic ( 1 1) and red goop (×2). The FDA limits the amount of plastic in licorice to no more than 75%. Which of the following represents

Answers

a) The FDA limits the amount of plastic in licorice to no more than 75%. Which of the following represents this constraint?

The correct inequality which represents this constraint is ×1−3×2<=0.

Explanation:

We are given that Twizzlers has 2 ingredients: plastic (×1) and red goop (x2) and that the FDA limits the amount of plastic in licorice to no more than 75%.In terms of the amount of plastic and red goop in Twizzlers, the above information can be represented as follows:

0.75 × 1 ≤ ×2Dividing both sides by 1,

we have:×1 - 3×2 ≤ 0

Therefore, the correct inequality which represents this constraint is ×1 − 3×2 ≤ 0.

b) Let ×1= beer; ×2= pizza. Which of the following represents this constraint?

Ido owns a pizzeria that is also a popular place to get a beer. The state of Virginia hates bars, and requires all alcohol selling establishments to have alcohol revenues less than food revenues (or something like that...).

At his current prices, this means Ido must sell no more than 3 beers per pizza.

Using the given notations, we need to represent the given constraint mathematically. Since Ido wants to sell no more than 3 beers per pizza, this can be written as:×1/×2 ≤ 3

Multiplying both sides by ×2, we have:×1 ≤ 3×2

Therefore, the correct inequality which represents this constraint is 3×2 − ×1 ≥ 0.

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If c=8, what is the value of 4c+(4-3)

Answers

The answer is 33

Explanation
4c+(4-3)
C=8
Substitution
4x8+4-3
Calculate
4x8+4-3
32+4-3
Which equal 33 that’s how I got the answer

Answer:

\(33\)

Step-by-step explanation:

\(c = 8 \)

Substitute 8 in the equation where c is.

\(4(8) + 4 - 3 \\ 32 + 1 \\ = 33\)

During the basketball game, you record the number of rebounds from missed shots for each team. (a) describe the likelihood that your team rebounds the next missed shot. (B) how many rebounds should ur team expect to have in 15 missed shots

Answers

In the event of describing the likelihood that the team rebounds the next missed shot is likely, and the number of rebounds that the team should expect to have missed in 15  shots is 10.5 rebounds.

Given

Number of shots missed by the given team is 7

Total number of shots fired is 10

a) Then, moving on to the first part of the question

Here we have to apply probability to evaluate the likelihood of the given team rebounds the next missed shot.

Then,

Probability = no of shots attended / total number of shots fired

Probability = 7 /10

Then the event is likely

b) Now the second part

Then the number of rebounds the given team expect to have in the next 15 missed shots

= 7/10 ×15

= 105/10

= 10.5 rebounds

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Marty's cat weighs 10 pounds. This is 24 pounds less then the weight of his dog. Write and solve a subtraction equation to find the weight of Marty's dog. ​

Answers

Answer:

34

Step-by-step explanation:

The dog weighs 34 pounds

34-24=10

24+10=34

Al and Betty have gone to the amusement park to ride on a Ferris wheel. The wheel in the park has a radius of 15 feet, and its center is 20 feet above ground level. Assume it takes 24 seconds to make a complete revolution.
You can describe the various positions in the cycle of the Ferris wheel in terms of the face of a clock, as indicated in the accompanying diagram. Think of Al and Betty's location as they ride as simply a point on the circumference of the wheel's circular path. That is, ignore the size of the Ferris wheel seats, Al and Betty's own heights, and so on.

Al and Betty have gone to the amusement park to ride on a Ferris wheel. The wheel in the park has a radius

Answers

Answer:a) The 12 o'clock position: Al and Betty are 35 feet above the ground when they are at the 12 o'clock position on the Ferris wheel.

b) The 9 o'clock position: Al and Betty are 5 feet above the ground when they are at the 9 o'clock position on the Ferris wheel.

c) The 6 o'clock position: Al and Betty are 20 feet above the ground when they are at the 6 o'clock position on the Ferris wheel.

d) The 8 o'clock position: Al and Betty are 5 feet above the ground when they are at the 8 o'clock position on the Ferris wheel.

e) 10 seconds after passing the 11 o'clock position: Al and Betty are 35 feet above the ground when they are 10 seconds after passing the 11 o'clock position on the Ferris wheel.

2) Al and Betty are 30 feet above the ground when they are at the 2 o'clock position on the Ferris wheel.

Step-by-step explanation:

Find the value of the x

Find the value of the x

Answers

Answer:

3) x = 30

4) x = 20

Step-by-step explanation:

Question 3

\(\frac{12}{18}\) = \(\frac{20}{x}\)

cross multiply

12x = 360

x = 30

Question 4

\(\frac{12}{16}\) = \(\frac{15}{x}\)

cross multiply

12x = 240

x = 20

A truck can be rented from company A for $100 a day plus $0.20 per mile. Company b charges $80 a day plus $0.30 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for company a and company b are the same.

Answers

Answer:

2000

Step-by-step explanation:

A(m) = 100 + 0.20m

B(m) = 80 + 0.3m

---------------------------

For company A to have a better deal, the truck must be driven more than __ miles per day.

Solve::

100 + 0.2m < 80 + 0.3m

-------

20 < 0.1m

m > 2000/1 = 2000 miles

---------------

2500 mi

Harvey is 3 times as old as Jane. The sum of their ages is 52 years. Find the age of each.

Jane is 13 and Harvey is 39
Jane is 12 and Harvey is 48
Jane is 13 and Harvey is 48

Answers

Answer:

13, 39

Step-by-step explanation:

H +J =52

H =3J

3J +J =52

4J =52

J =52 :4 =13 (Jane is 13

H =3 ×13 =39 (Harvey is 39

Answer:

Jane is 13 and Harvey is 39

Step-by-step explanation:

A company’s profit, P, in dollars, for producingx machines in one day is given by P = 500x - 20x*2.If the company produces 10 machines in one day, then,according to this formula, what is the profit for thatday?(A) $5,000(B) $4,000(C) $3,000(D) $2,000(E) $1,000

Answers

The profit of that day is (C) P = $3,000.

What is profit?A profit is a difference between the revenue generated by an economic entity's outputs and the opportunity costs of its inputs. Total revenue minus total cost, including both explicit and implicit costs, equals total revenue.Unlike accounting profit, it only refers to the explicit costs that appear on a company's financial statements.Accounting profit is calculated by subtracting the firm's total revenue from only the firm's explicit costs. When analyzing a firm, an economist considers all opportunity costs, both explicit and implicit.

To find the profit of that day:


Given:

P = 500x − 20x², where 'x' is the number of machines per day produced.If the company produces 10 machines in one day, that is x = 10.

By substituting x = 10 in the above equation, we get:

P = 500 × 10 - 20 × 10²P = 5000 - 2000P = 3,000/

Therefore, the profit of that day is (C) P = $3,000.

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1. Write the dual for each of the following primal LPs:
a) Maximize z=−5x₁​+2x₂
Subject to −x​₁+x2₂≤−2
2x₁+3x₂≤5
x​₁,x₂≥0​
b) Minimize z=6x₁​+3x₂
Subject to 6x1₁−3x₂+x​₃≥2
3x₁​+4x₂​+x3₃≥5
x1₁,x₂​,x3₃≥0​
c) Maximize z=x1₁+x₂
Subject to 2x₁​+x₂​=5
3x₁−x₂ unrestricted

Answers

1. Minimize w = -2y₁ - 5y₂

2. Maximize w = 2y₁ + 5y₂

3. Minimize w = 5y₁

1. Dual of primal LP:
a) The primal LP is:
Maximize z = -5x₁ + 2x₂
Subject to:
-1x₁ + 1x₂ ≤ -2
2x₁ + 3x₂ ≤ 5
x₁, x₂ ≥ 0

To write the dual LP, we need to change the objective function and constraints. The objective function of the dual LP is to minimize the sum of the products of the dual variables and the primal constraint coefficients.

The constraints of the dual LP correspond to the primal LP's objective coefficients.

The dual LP for the given primal LP is:
Minimize w = -2y₁ - 5y₂
Subject to:
-y₁ + 2y₂ ≥ -5
y₁ + 3y₂ ≥ 2
y₁, y₂ ≥ 0

b) The primal LP is:
Minimize z = 6x₁ + 3x₂
Subject to:
6x₁ - 3x₂ + x₃ ≥ 2
3x₁ + 4x₂ + x₃ ≥ 5
x₁, x₂, x₃ ≥ 0

The dual LP for the given primal LP is:
Maximize w = 2y₁ + 5y₂
Subject to:
6y₁ + 3y₂ ≤ 6
-3y₁ + 4y₂ ≤ 3
y₁ + y₂ ≥ 1
y₁, y₂ ≥ 0

c) The primal LP is:
Maximize z = x₁ + x₂
Subject to:
2x₁ + x₂ = 5
3x₁ - x₂ unrestricted

The dual LP for the given primal LP is:
Minimize w = 5y₁
Subject to:
2y₁ + 3y₂ ≥ 1
y₁ - y₂ unrestricted
y₁, y₂ ≥ 0

These are the dual LPs for the given primal LPs.

The dual LPs are obtained by changing the objective function and constraints of the primal LPs.

The objective function of the dual LP is the opposite of the primal LP's objective function, and the constraints of the dual LP correspond to the primal LP's objective coefficients.

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1 4/5 divided by 1 1/5
fraction has to be in its simplest form

Answers

Answer:

14/11

Step-by-step explanation:

cause when u divide you have to switch the second fraction; it's called the reciprocal.

do crossed division and you'll get 14/11.

Answer:

1 1/2

Step-by-step explanation:

1 4/5 ÷ 1 1/5

convert to full fractions:

9/5 ÷ 6/5

9/5 x 5/6 = 45/30 = 1 1/2

why is it possible for condition means to differ at the end of an experiment even if the independent variable had no effect? type ii error has ocurrederror variancerandomizationa null finding has been obtained

Answers

Answer:

Answer:- 1) option b) error variance.

Have a Nice Best Day : ) Please Give Me Brainliest

p l e a s e h e l p p p p !!!

p l e a s e h e l p p p p !!!

Answers

Answer:

This would be the last option I think, sorry if it's wrong.

Step-by-step explanation:

Answer:last option

Step-by-step explanation:

Solve the following system of equations using substitution, elimination, or elimination by multiplication

Solve the following system of equations using substitution, elimination, or elimination by multiplication

Answers

Answer: B

Step-by-step explanation:

1. The 4th, 5th, and 6th terms of an arithmetic sequence are 19, 23, and 27 respectively. What is the first
term of the sequence?

Answers

Answer: 7

Step-by-step explanation: The only pattern in this sequence that I can see is addition by 4. Therefore, the 3rd term is 15, the 2nd is 11, the 1st is 7.

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HELP put them in order!

HELP put them in order!

Answers

Answer:

3
4
2
5
1

Step-by-step explanation:

(4.3 x 10^6)*(9.8 x 10^-4)=4.214x10^3
(2.9 x 10^7)*(1.6 x 10^-9)=4.64x10^-2
(4.7 x 10^3)*(8.6 x 10^-7)=4.042x10^-3
(3.8 x 10^-4)*(6.1 x 10^2)=2.318x10^-1
(4.042x10^-3)/(2.318x10^-1)=1.74x10^-2
(4.9 x 10^3)*(7.4 x 10^-6)=3.626x10^-2
(3.9 x 10^5)*(8.7 x 10^-3)=3.393x10^3
(3.7 x 10^-5)*(2.9 x 10^8)=1.073x10^4
(3.393x10^3)/(1.073x10^4)=3.16x10^-1
sorry took a while but hope that helps

Which one of these is a whole number?

a. 4/7
b.square root of 8
c.0
d.0.1

Answers

Answer:

The answer is C. 0

The answer is C because whole numbers are numbers with nothing with them ex.8

At 1pm, there were 530 visitors in the museum. At 8pm, there were 250. What
is the constant rate of change?

Answers

-40 people per hour. You’re losing a total of 40 guests each hour.

The work is below
At 1pm, there were 530 visitors in the museum. At 8pm, there were 250. Whatis the constant rate of change?
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The second student claims that some microorganisms in food can have a positive effect onhuman health.Which statement BEST supports the second student's claim?a. Microorganisms can destroy any pathogens that affect the immune system.b. Microorganisms reproduce too slowly to affect the immune system.c. Microorganisms known to be in food are no longer living and would not affect the digestive system.d. Microorganisms can aid in the absorption of nutrients from food within the digestive system. Select the all facts applying to the Articles of Confederation..Question 6 options:a) First form of American governmentb) No National Court systemc) No power to collect taxesd) Didn't allow for an Executive Branch of governmente) Considered a failure True or False of the three states of matter, molecules in solids have the greatestfreedom of motion. Companies creat a division of labor among employees in order to: What causes convection currents, and what do they do? . Use a trial and improvement method to find an approximate solution t x3 + 5x = 400. Start with x = 7. Give your final answer to one decimal place. You must show all your working. Whats is the rate of change? True or False: Whether simple or complex, every process is a series of some number of steps.Select one:a. Trueb. False what environmental force did Unibic use in segmenting its market To be a member of a dance company, you must pay a flat monthly fee and then a certain amount of money per lesson. If a member has 7 lessons in a month and pays $82 and another member has 11 lessons in a month and pays $122: a) Find the linear equation for the monthly cost of a member as a function of the number of lessons they have. b) Use the equation to find the total monthly cost is a member wanted 16 lessons. Math 6 Fresno State c) How many lessons did a member have if their cost was $142? Sharon reads two different articles about avocados. The first article, in a weight-loss magazine, claims that avocados are unhealthy because they are high in fat. The second article, in an annual publication from a doctors group, claims that the fat in avocados is a type that is good for the heart. To assess these claims, which question might sharon ask?. 1.How can you find the x-intercept of the graph of 2x+3y=6. Explain in words pls what do alleles give rise to in a population? what do alleles give rise to in a population? variation reproductive success competitive advantage genetic defects 6. The chair of the government exchequer in Olympios has announced, and written into law, the spending plans for 2022: government spending on capital projects is planned as $80 billion, and government current spending will be $235 billion. Taxes have been set at 20% of income. Private investment in the economy is forecast at $145 billion. Autonomous consumption (independent of income) is estimated at $20 billion, and the marginal propensity to consume goods and services out of disposable income is 0.75. Imports and exports are projected to generate cashflows of $320 billion and $285 billion respectively. a) Write down a function for consumption of domestically produced goods and services as a function of national income Y. [1 mark] b) Determine the equilibrium level of national income for the economy in 2022. [3 marks] c) Calculate the projected tax receipts and budget surplus/deficit for 2022. [2 marks] d) A senior economic advisor proposes that the government run a deficit of $50 billion in 2022, while maintaining the level of national income calculated in part b). Assuming that all private money flows remain the same, calculate the new tax rate that would be required to achieve this, and the new level of government expenditure that would result. [4 marks] [Total: 10 marks]