- Mrs. Ward found 80-ounce packages of hamburger on sale. If she needs to make

2 of each size hamburger, how many packages of meat will she need to buy?

Answers

Answer 1

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The Whispering Lakes  Neighborhood Association is  having a hamburger cookout.  Each family can choose whether  to order the hamburgers or  bring their own. Use the  information in the table to solve  the number stories. Use  drawings, tables, or equations  to show what you did.

Mrs. Ward found 80-ounce packages of hamburger on sale. If she needs to make  2 of each size hamburger, how many packages of meat will she need to buy?

Answer:

The number of meat packages is

100/80 = 1.25 = 5/4

Assuming that the number of packages cannot be in fraction, then she would need at least 2 packages of meat.

Number of meat packages = 2

Step-by-step explanation:

Please refer to the attached table where we are given size of hamburgers and the weight of corresponding hamburger patty in pounds.

small = 1/8 lb

medium = 1/4 lb

large = 1/2 lb

jumbo = 3/4 lb

king of burgers = 1 1/2 lb = 3/2 lb

To make 1 of each hamburger we need

Total weight of patty = 1/8 + 1/4 + 1/2 + 3/4 + 3/2

Total weight of patty = 25/8 = 3.125 lb

But she needs to make  2 of each size hamburger so,

Total weight of patty = (25/8)×2 = 25/4 = 6.25 lb

Mrs. Ward found 80-ounce packages of hamburger on sale

first we have to convert pounds into ounces

We know that 1 pound has 16 ounces

6.25×16 = 100 ounces

So the number of meat packages required is

100/80 = 1.25 = 5/4

Assuming that the number of packages cannot be in fraction, then she would need at least 2 packages of meat.

Number of meat packages = 2

- Mrs. Ward Found 80-ounce Packages Of Hamburger On Sale. If She Needs To Make2 Of Each Size Hamburger,

Related Questions

A rectangular garden has a length of x + 2 ft. and a width of x + 8 ft. What must x be in order for the garden to have an area of 91 sq. ft.?

Answers

Answer:

x=5

Step-by-step explanation:

5+2=7

5+8=13

13*7=91

Answer: 5 ft

Step-by-step explanation:

Our equation can be (x + 8)(x + 2) = 91. Now we solve:

(x + 8)(x + 2) = 91

x^2 + 2x + 8x + 16 = 91    expand

x^2 + 10x + 16 = 91           simplify

x^2 + 10x - 75 = 0            subtract 91 from both sides

(x + 15)(x - 5) = 0               factor

x + 15 = 0              x - 5 = 0

x [tex]\neq \\[/tex] -15                    x = 5

x can't equal -15 because you cannot have negative feet, so x = 5 feet

Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km of the path left to cycle. If Dina’s cycling speed is 10 km/h, how much time longer will Masha need to complete the path?

Answers

Answer:

30 minutes

Step-by-step explanation:

Dina took 2 hours to finish the path, since she biked at 10 km/h.

This means Masha was biking at 8 km/h because in 2 hours she only biked 16 km.

To bike 4 more km, it will take her 30 minutes or 0.5 of an hour.

One-fourth of a certain number is removed from two- fifth of that number. if the result is 3, find the number.



Please Help It due soon.

Answers

Answer:

the answer is 20

Step-by-step explanation:

let the number be "x"

1st part = 2/5of x

2nd part = 1/4 of x

=) 2/5 x - 1/4 x = 3

=) lcm of 4 ,5 is 20

=) ( 2x * 4 ) - ( 1x *5) by 20 =3

=) 8x - 5x / 20 =3

=) 3x / 20 =3

=) 3x = 3 *20

=) 3x = 60

=) x = 60 /3

=) x = 20

the number is 20

Answer: 20

Step-by-step explanation:

2/5x -1/4x = 60

Multiply by 20 on both sides,

8x - 5x = 60

3x = 60

x = 60/3 = 20

Solve for X
Show work!
Help!

Answers

Answer:

x=19

Step-by-step explanation:

The 2 angles are inside of a right angle.  We know this because of the little square in the corner. Therefore, they are complementary angles. When they are added together, they must equal 90 degrees.

3x+11+22=90

Combine like terms by adding 11 and 22

3x+33=90

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

33 is being added to 3x. The opposite of addition is subtraction. Subtract 33 from both sides.

3x+33-33=90-33

3x=90-33

3x=57

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

3x/3=57/3

x=57/3

x=19

Answer:

X=19

Step-by-step explanation:

3x+11+22=90

3x+33=90

   -33   -33

——————-

 3x= 57

——   ———

3          3

———————

x= 19

HELP ASAP PLEASE need help

Answers

Answer:

4.10

Step-by-step explanation:

Cos 35 = AC/5

AC = 4.096

to the nearest hundredth

AC= 4.10

Answer:

AC= 2.87, in respect of angle B, AC is the opposite side and AB is the hypotenuse Sin(B)= AC/AB, Sin(35°)=AC/5

A survey of 125 households was done to investigate whether households have laptops, tablets, or
both. The results are shown in the Venn diagram below. If a household was selected at random, which
of the following would be the probability the household would have a laptop given that it does not
have a tablet?
1) 0.484
2) 0.355
3) 0.326
4) 0.172​

Answers

Answer:

3) 0.326

Step-by-step explanation:

Total Number of surveyed households =125

We want to determine the probability that a randomly selected household would have a laptop given that it does not  have a tablet.

Written in Probability notation: P(Laptop|No Tablet)

[tex]P(Laptop|No Tablet)=\dfrac{P(L\cap T')}{P(T')} \\=\dfrac{31/125}{95/125}\\=\dfrac{31}{95}\\\\=0.326[/tex]

The correct option is C,

Find the missing side. Be sure to show all of your work. Round to the nearest tenth
if necessary

Answers

Answer:

x=3.9 approximately

Step-by-step explanation:

Using Pythagorean theorem:

[tex]x^{2} + (5x)^{2} = 20^{2}[/tex]

[tex]x^{2} + 25x^{2} = 400[/tex]

26x^2 =400

x^2 = 15.3846

x=3.9

General Formulas and ConceptsAlgebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a legb is another legc is the hypotenuse

ApplicationStep 1: Define

Let's define what the problem gives us:

We are given a right triangle, indicated by the square box inside the triangle, with side lengths 5x and x and a hypotenuse of 20.

We can set these measurements equal to our variables defined above in our Pythagorean Theorem equation:

a = 5xb = xc = 20

Step 2: Work

Now, we can substitute our variables and solve for x, which will help us find the side lengths as well:

[Pythagorean Theorem] Substitute in variables:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\\end{aligned}[/tex][Order of Operations] Simplify:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\\end{aligned}[/tex][Simplify] Combine like terms:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\\end{aligned}[/tex][Equality Properties] Divide both sides by 26:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\x^2 & = \frac{200}{13} \\\end{aligned}[/tex][Equality Properties] Square root both sides:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\x^2 & = \frac{200}{13} \\x & = \sqrt{\frac{200}{13}} \\\end{aligned}[/tex][Simplify] Evaluate:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\x^2 & = \frac{200}{13} \\x & = \sqrt{\frac{200}{13}} \\& = \frac{10 \sqrt{26}}{13}\end{aligned}[/tex][Evaluate] Approximate:
[tex]\displaystyle\begin{aligned}a^2 + b^2 & = c^2 \\(5x)^2 + x^2 & = 20^2 \\25x^2 + x^2 & = 400 \\26x^2 & = 400 \\x^2 & = \frac{200}{13} \\x & = \sqrt{\frac{200}{13}} \\& = \frac{10 \sqrt{26}}{13} \\& \approx \boxed{3.9} \\\end{aligned}[/tex]

∴ our x approximately equals 3.9.

Now we can use our value of x to solve for the missing triangle lengths:

Length of 5x:

Substitute in x:
[tex]\displaystyle\begin{aligned}\text{Side Length} & = 5x \\& = 5(3.9) \\\end{aligned}[/tex]Evaluate:
[tex]\displaystyle\begin{aligned}\text{Side Length} & = 5x \\& = 5(3.9) \\& = \boxed{19.5}\end{aligned}[/tex]

∴ this particular side length has a length of 19.5.

Length of x:

Substitute in x:
[tex]\displaystyle\begin{aligned}\text{Side Length} & = x \\& = \boxed{3.9}\end{aligned}[/tex]

∴ this particular side length has a length of 3.9.

Answer

∴ the side lengths of this particular triangle are 19.5 and 3.9, respective to their variables 5x and x.

___

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___

Topic: Geometry

Unit: Triangles

What is the percent of increase for a population that changed from 25000 to 30000

Answers

The population has increased by 20 percent

The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The population changed from 25,000 to 30,000. Then the percentage is calculated as,

P = [(30,000 - 25,000) / 25,000] x 100

P = (5,000 / 25,000) x 100

P = 0.20 x 100

P = 20%

The percent of increase for a population that changed from 25,000 to 30,000 will be 20%.

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The difference between two numbers is 28. The first number is three times the other number. What are the numbers? A. 14 and 42 B. 26 and 42 C. 14 and 14 D. 15 and 43

Answers

The answer would be A. 14 and 42

Answer: the answer is A

Step-by-step explanation:

1st:subtract 42-14=28(the difference)

2nd: divide 42÷14=3

WHY CAN'T ANYONE HELP ME? 1. In Michigan, the sales tax rate is 6%. Suppose that an item costs $50.88 including tax. How can we use algebra to find the price of the item before tax was added? What is the price before tax? Note: Using x = the price before tax, write an equation, and show solving steps to find x. (SOLVE AND CHECK) ($47.83 WON'T BE THE CORRECT ANSWER)

Answers

Answer: $48

Step-by-step explanation:

From the question, we are told that in Michigan, the sales tax rate is 6% and that an item costs $50.88 including tax.

Let the cost of the item before tax be x. This means that x plus 6% of x equals to $50.88. This can be mathematically expressed as:

x + (6% of x) = $50.88

x + (6/100 × x) = $50.88

x + (0.06 × x) = $50.88

x + 0.06x = $50.88

1.06x = $50.88

When then divide by the coefficient of x

1.06x/1.06 = #50.88/1.06

x = $48

The price before the tax is $48

Which is the approximate solution for the system of equations
8x-10y=-28 and 9x+10y=-16?
A(-2.3, 0.5)
B(-2.5, 1)
C(-2.3, 0.5)
D(-2.5, -1)​

Answers

Step-by-step explanation:

work is shown and pictured

Which of the following statements correctly illustrate the addition property of equality?

Check all of the boxes that apply.

If a = b, then a + c = b + c.

If x = y, then x + 2 = y- 2.

If w + 2 = 7, then w + 2-2 = 7- 2.

Answers

Answer: The first one and the third one

Step-by-step explanation:

The first one because a+c would equal the same as b+c due to the fact that a and b are equal. The second one would be because when solving for w+2=7 then you would subtract 2 from both sides and get 5 and the second one states after being simplified that w=5

How do I solve this equation:
-5(n-1)=7(n+3)

Answers

-5(n-1) = 7(n+3)

First, distribute the 5 in the first parentheses.

-5n+ 5 = 7(n+3)

Next, distribute the 7 in the second set of parentheses.

-5n + 5 = 7n + 21

Subtract 7n from both sides.

-5n + 5 -7n = 21

Subtract 5 from both sides.

-5n - 7n = 21 + 5

Collect like terms.

-12n = 16

Divide both sides by -12

Answer -3/4

Answer:

-3/4

Step-by-step explanation:

The First step is to distribute the 7 in the second part of parentheses.

-5+5-7n=21

-5-7n=21+5

Then collect the terms

-12n=16

Lastly distribute both sides by -12

And the answer is -3/4

I have no idea what im doing, can someone please help me? ASAP!!!! Use the pythagorean theorem to find the missing slide.

Answers

Answer:

1. b=√56

Step-by-step explanation:

1. Pythagorean therom states a²+b²=c² and in number 1 we are given the c or the hypotenuse so plugging in the values we know 13²+b²=15²

which equals 169+b²=225 subtract 169 from both sides and we get b²=56

square root both sides and we get b=√56

What are the resulting vertices of triangle E′F′G′ after rotating triangle EFG 180° about the origin? answers: A) E′ (3, 1), F′ (1, –2), G′(–1, 4) B) E′ (3, 1), F′ (–2, –1), G′(–1, 4) C) E′ (1, 3), F′ (–2, 1), G′(–1, 4) D) E′ (3, 1), F′ (–2, 1), G′(4, –1)

Answers

Answer:

E' (3, 1)

F' (-2, -1)

G' (-1, 4)

Step-by-step explanation:

The rule for rotating 180° is (x, y) ⇒ (-x, -y)

E is at (-3, -1). When the rule is applied, E' is at (3, 1)

F is at (2, 1). When the rule is applied, F' is at (-2, -1)

G is at (1, -4). When the rule is applied, G' is at (-1, 4)

:)

The vertices of the triangle after rotation are:-

E' (3, 1)

F' (-2, -1)

G' (-1, 4)

What is translation?

The process of changing the location of the image on the coordinate system will be known as the translation.

The concept of rotation in mathematics has its roots in geometry. Any rotation is a movement of a certain area while maintaining at least one point. It may be used to describe, for instance, how a rigid body moves around a fixed point.

The rule for rotating 180° is (x, y) ⇒ (-x, -y)

E is at (-3, -1). When the rule is applied, E' is at (3, 1)

F is at (2, 1). When the rule is applied, F' is at (-2, -1)

G is at (1, -4). When the rule is applied, G' is at (-1, 4)

Therefore, the vertices of the triangle after rotation are E' (3, 1), F' (-2, -1) and, G' (-1, 4).

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What is the factored form of x2 - 9x + 20?

Answers

Answer:

(x - 4) (x - 5)

Step-by-step explanation:

Factor the following:

x^2 - 9 x + 20

The factors of 20 that sum to -9 are -4 and -5. So, x^2 - 9 x + 20 = (x - 4) (x - 5):

Answer: (x - 4) (x - 5)

(Answer is X-4) (x-5)

y= 3x+7
y = -2x-3
What would be the x and y for that solution

Answers

Answer:

So if we are solving for x and y. First we need to subtract both equations. We take each equation and put in parenthesis and subtract.

y-y = (3x+7)-(-2x-3) =

0 = 3x+7+2x+3

0 = 5x+10

-10 = 5x

-2 = x.

Now we need to solve for y.

Plug it in for the first equation. -2*3+7 = -6+7 = 1

Test if we are correct and try in the second equation.

-2*-2-3 = 4-3 = 1

x = -2

y = 1

17. Five time as many girls as boys went to the dance. The total of 120 students went to

the dance.

a. If b represents the number of boys and g represents the number of girls, use

the numbers, variables, and symbols shown below to construct a system of

equations to model this situation. Some of the numbers, variables, and

operations will be used more than once and some will not be used at all.

b

g

+

10

3

4

1

5

120

2.

Answers

Answer:

[tex]b+g=120[/tex]

[tex]b+5b=120[/tex]

Step-by-step explanation:

let b be the number of boys went to the dance

let g be the number of girls went to the dance

Total number of students went to the dance are 120.

Which means the boys and girls collectively are 120 which forms the following equation.

[tex]b+g=120[/tex]

The condition has been given that the number of girls are 5 times more than the number of boys. It can be taken as that:

[tex]g=5b\\[/tex]

Insert it in the previous equation to get

[tex]b+5b=120[/tex]

Use the general rotation matrix and the unit circle or inverse trigonometric functions to find the angles of rotation for the following matrices.

B=[-0.3090 0.9511]
0.9511 -0.3090
72
108
144

Answers

Answer:

108

Step-by-step explanation:

Hope this helps! :)

Answer:

108

Step-by-step explanation:

Edge 2020

Identify the parts of the expression. Then write a word expression for the numerical or algebraic expression.




Please Help!!!! Due in 30 minutes!​

Answers

Answer:

17.3

Step-by-step explanation:

1.5×6+8.3

=9.0+8.3

=17.3

hope it helps

Which shows the fractions in order from least to greatest A.5/9 B.3/4 C.2/3 D.3/5

Answers

Answer:

A, D, C, B.

5/9, 3/5, 2/3, 3/4.

Step-by-step explanation:

Covert to decimals:

5/9 = 0.555...

3/4 = 0.75

2/3 = 0.666...

3/5 = 0.6

So it is  5/9, 3/5, 2/3, 3/4.

Which function shows a fabric with a price of $1.25 per square yard?

Answers

Answer: n=1.25x

Step-by-step explanation:

X represent the number of yards and n represent the total amount

The function which shows the fabric with a price of $1.25 per square yard will be y = 1.25x where x represents square yard and y represent the price of fabric.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function.

Given that the

Price of fabric = $1.25/ yard

Let's say the price of fabric = y

Square yard = x

Then y = 1.25x so it will be the correct answer.

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Which of these values could be the slope of the line? Select
two options.
-2
-8/5
0
7/4
3​

Answers

Answer:7/4 and 3

Step-by-step explanation:

Just took the test

Answer:

I think that the answer is D E

Fill in the blank with the equations for each interval of 5 units listed beside it. Then answer the questions

Answers

Answer:

1) f(-10)

f(x) = x²

f(-10) = (-10)²

f(-10) = 100

2) f(-7)

f(x) = x²

f(-7) = (-7)²

f(-7) = 49

3) f(-5)

f(x) = x³

f(-5) = (-5)³

f(-5) = -125

4) f(-3)

f(x) = x³

f(-3) = (-3)³

f(-3) = -27

5) f(0)

f(x) = √x

f(0) = √0

f(0) = 0

6) f(2)

f(x) = √x

f(2) = √2

f(2) = 1.414

7) f(5)

f(x) = 1/x

f(5) = 1/5

f(5) = 0.2

8) f(7)

f(x) = 1/x

f(7) = 1/7

f(7) = 0.143

9) f(10)

FUNCTION NOT GIVEN. SOLVE LIKE THE ABOVE IF YOU KNOW THE FUNCTION

Find the volume of this solid

Answers

Answer:

[tex]997.66ft^3[/tex]

Step-by-step explanation:

[tex]V=\frac{3\sqrt{3} }{2} a^2h\\=\frac{3*\sqrt{3} }{2} *4^2*24\\=997.66ft^3[/tex]

Rosalia went on a long bike ride. The table shows how long she biked and the distance she
traveled. Determine whether the relationship between hours biked and miles traveled is
proportional.
-91
O The relationship is not proportional.
O The relationship is proportional.

Answers

Answer:

The relationship is not proportional.

Step-by-step explanation:

To see if many ratios are (fair in amount, related to something else/properly sized compared to something else), you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have (fair in amount, related to something else/properly sized compared to something else) ratios.

y/x=c.o.p

c.o.p=constant of proportionality.

the rate of change also know as the constant of (fair in amount, related to something else/properly sized compared to something else)ity (k = y/x) which is the constant ratio between two (fair in amount, related to something else/properly sized compared to something else) amounts y/x represented by the symbol k which may be a positive clear and sensible number. The x value is related to the y value such as in the equation y = kx.

What is the result when the number 83 is increased by 7%? Round your answer to the nearest tenth.

Answers

Answer:

90

Step-by-step explanation:

multiply 83 by .07 equals 5

then add 83 + 5= 88 rounded to nearest tenth = 90

PLEASE HELP! A survey was done that asked people to indicate whether they preferred pool swimming or ocean swimming. The results of the survey are shown in the two-way table.

Chantal is making a relative frequency table from this data.

What operation should Chantal perform to determine the relative frequency of a person over 30 years old who prefers ocean swimming?




Divide 239 by 609.


Subtract 185 from 609, then divide by 609.


Divide 185 by 609.


Add 239 to 609, then divide by 609.

Answers

Answer:

C

Step-by-step explanation:

I think the answer is C,

since to find the relative frequency, you divide the specific frequency

(in this case people over 30 who prefer ocean swimming, 185 people)

by the # of values total

(all values recorded, which in this case is the 609 peoples' surveys)

so, divide 185 by 609, which is C

8.) Mrs. Ruiz bought six 2-liter bottles of juice. How many dekaliters of juice
did she buy?
a.) 0,012 dekaliter
b.) 0.12 dekaliter
c.) 1,2 dekaliters
d.) 120 dekaliters​

Answers

(B) because 1 litter is equal to .1 dekaliter

Which equation matches these solutions? x = 5, -7
Group of answer choices

(x + 5)(x + 7)=0

(x + 5)(x - 7)=0

(x - 5)(x + 7)=0

(x - 5)(x - 7)=0

Answers

(x-5)(x+7).
explanation:
(x-5)(x+7)=0
<=> x-5=0 or x+7=p
<=> x=5 or x=-7
Answer

The answer is the first one
Other Questions
Ravelo Corporation has provided the following data from its activity-based costing system: Activity Cost Pools Total Cost Total Activity Assembly $498,520 44,000 machine-hours Processing orders $54,263 1,100 orders Inspection $77,589 1,100 inspection-hours Data concerning the company's product L19B appear below:Annual unit production and sales 430Annual machine-hours 990Annual number of orders 70Annual Inspection hours 20Direct materials cost $37.74 per unitDirect labor cost $10.45 per unitAccording to the activity-based costing system, the average cost of product L19B is closest to: a. $4819 per unit b. $82.31 per unit c. $85.56 per unit d. $7753 per unit What is the sum?4 1/2 + 5 1/2 Me encanta la msica rock, y por eso _______.A. juego al ajedrez B. juego con la guitarra C. juego al dominD. toco la guitarra how to draw a location/site plan A taxi service charges a flat fee pen $1.25 and $0.75 per mile. If Henry has $14.00 which of the following shows the number of miles he can afford to ride in the taxi? how is HDI expressed Please answer this correctly Ok, sorry, I'm back hehe >:3 (Find the volume of a right cone that has the radius of 4 inches and the height of 12 inches) (Again, will give brainliest to first responder, and if CORRECT!) TwT What is the most serious crime in British law? Give four examples of common indoor pollutants, four examples of common outdoor pollutants, and two examples of sources of hazardous waste. Two parallel lines are crossed by a transversal. Horizontal and parallel lines p and q are cut by transversal m. At the intersection of lines p and m, the bottom left angle is b degrees. At the intersection of lines q and m, the top right angle is 128 degrees. What is the value of b? Solve the following equation. Then place the correct number in the box provided. 7x=84 x=? Which table represents a function? if a major sector is 60% of circle whats the measure of central angle Label each element in the chemical reaction below with the correct oxidation stateNH3 (aq) + 3 HOCl (ax)NCI () + 3 H20 (1) find five rational numbers between ? explain please Directions and AnalysisTask 1: Completing the SquareLook at the quadratic equation below.2x^2-12x-16=0This is not an equation that could be easily solved by factoring. Instead, you are going to use the method of completing the square to solve this equation. Follow each step in this task to complete the square and solve the equation.a.To complete the square, the coefficient of the x2 term must be 1. Divide both sides of the equation by a value and rewrite the equation to meet this criteria.Type your response here:b.Rewrite the resulting equation so the constant term is on the right side of the equation and the variable terms are on the left.Type your response here:c.Identify the coefficient of the x term in the previous equation. Then divide it by half and square the result. What is the result?Type your response here:d.Add the value you identified in part c to both sides of the equation from part b and simplify the right side. Remember that when solving equations, whatever is done to one side of the equation must also be done to the other side the equation: that is why you must add the value to both sides.Type your response here:e.Notice that the left side of the equation now represents a perfect square quadratic expression. Use this fact to rewrite the left side of the previous equation as the square of a linear term and create a new equation.Type your response here:f.You have now completed the square. Starting with the result from part e, solve the equation for x. Show your work.Type your response here:g.Now that you know how to complete the square to solve a quadratic equation, solve the equation 3x^2 3x 6 = 0. Show your work.Type your response here: NSelect the correct answer.Which type of investment offers both capital gains and interest income?OApropertyOB.CDsC. stocksODbondsResetNextWhich type of investment offers both capital gains and interest income write (2n^2)^3 without exponents How has the government contributed to health care