E
Homework: 1-7 HW
Simplify the expression.
8(5+t) - 2(t+1)
8(5 + t) - 2(t+1)=

Answers

Answer 1

Hi, I'm happy to help!

To simplify this expression, we need to first use the order of operations (Parenthesis, Exponents, Multiplication or Division (Left to Right), and Addition or Subtraction (Left to Right)), then combine like terms. (80,40,57, or 6t, 8t, 98t, or 2t²,7t²,83t²)

When a number is next to parenthesis with no sign, it means we are using multiplication. We can change this expression to look like this, by changing all the numbers next to the parenthesis with no sign, to one with a multiplication sign.

8(5+t) - 2(t+1) 8(5 + t) - 2(t+1)=

8×(5+t) - 2×(t+1)× 8×(5 + t) - 2×(t+1)=

We start with parenthesis and solve everything inside of those, but, because everything inside the parenthesis are unlike terms, we cannot combine them.

Next, We look for any exponents (x²). There are none in this equation.

We then look for multiplication or division. There is a lot of multiplication, so we start solving that from left to right.

8×(5+t) - 2×(t+1)× 8×(5 + t) - 2×(t+1)=

40+8t - 2×(t+1)× 8×(5 + t) - 2×(t+1)=

40+8t - 2×(t+1)× 8×(5 + t) - 2×(t+1)=

(40+8t) - (2t+2)× 8×(5 + t) - 2×(t+1)=

(40+8t) - (2t+2)× 8×(5 + t) - 2×(t+1)=

(40+8t) - (16t+16)×(5 + t) - 2×(t+1)=

(40+8t) - (16t+16)×(5 + t) - 2×(t+1)=

(40+8t) - (80t+16t²+80+16t) - 2×(t+1)=

(40+8t) - (80t+16t²+80+16t) - 2×(t+1)=

(40+8t) - (80t+16t²+80+16t) - (2t+2)=

(40+8t) - (80t+16t²+80+16t) - (2t+2)=

Now, before we do anything else, we need to recheck the parenthesis, now that they have changed. We can further simplify the middle parenthesis by adding together like terms.

(40+8t) - (80t+16t²+80+16t) - (2t+2)=

(40+8t) - ((80t+16t)+16t²+80) - (2t+2)=

(40+8t) - (96t+16t²+80) - (2t+2)=

(40+8t) - (96t+16t²+80) - (2t+2)=

Now, we look for addition or subtraction of like terms. We can now remove the parenthesis, since everything inside of the last two parenthesis is negative, we turn it negative, as long as we only combine the like terms.

40+8t - 96t-16t²-80 - 2t-2=

Once we find like terms, we can rearrange the expression.

(40-80-2)+8t - 96t+16t² - 2t

(-42)+8t - 96t-16t² - 2t

(-42)+8t - 96t-16t² - 2t

(-42)+(8t-96t-2t)-16t²

(-42)+(-90t)-16t²

(-42)+(-90t)-16t²

This doesn't have any like terms, so we don't alter it.

(122)+(-90t)-16t²

We can now remove the parenthesis.

122-90t-16t²

Since there are no more like terms this is the furthest we can simplify. We can then rearrange the expression to be arranged completely correct.

-16t²-90t-42

I hope this was helpful, keep learning! :D


Related Questions

Explain how to solve 4^(x+3)=7 using the change of base formula log_by=log y/ log b. Round to the nearest thousandth

Answers

Answer:

x = -1.59

Step-by-step explanation:

We are here given a equation and we need to solve out for x. The given equation is ,

[tex]\sf\longrightarrow 4^{( x +3)}= 7[/tex]

Take log to the base " e " on both sides , so that we can remove the variable from the exponent .

[tex]\sf\longrightarrow log_e 4^{x+3}= log_e 7[/tex]

Simplify using the property of log , [tex]\sf log a^m = m log a [/tex] , we have ,

[tex]\sf\longrightarrow (x + 3) ln 4 = ln 7 [/tex]

Distribute by opening the brackets ,

[tex]\sf\longrightarrow x ln 4 + 3 ln 4 = ln 7[/tex]

This can be written as ,

[tex]\sf\longrightarrow x ln 4 = ln 7 - 3ln4 [/tex]

Divide both sides by ln 4 ,

[tex]\sf\longrightarrow x = \dfrac{ ln7}{ln 4 } - \dfrac{ 3ln4}{ln4} [/tex]

Simplify ,

[tex]\sf\longrightarrow x = \dfrac{ ln4 }{ln7 } -3[/tex]

On simplifying , we will get ,

[tex]\sf\longrightarrow \boxed{\blue{\sf x = -1.59 }}[/tex]

Question 2 (1 point)
Match each situation to a linear system below.
A child has a piggy bank full
of $1 and $2 coins totalling
$37.
There are 25 more $1 coins
than there are $2 coins.
1. x + 2y = 37
x - y = 25
An exam that is worth 37
marks contains 25
questions.
The questions are either
worth 1 mark or 2 marks.
2. x + 2y = 37
x + y = 25
18
3. x - 2y = 37
x + y = 25
The sum of two numbers is
25.
The first number is 37 more
than 2 times the second
number

Answers

Answer:

See answers below

Step-by-step explanation:

For the expression

The sum of two numbers is  25.  The first number is 37 more  than 2 times the second  number

Let the two numbers be x and y

If the sum is 25, then;

x + y = 25 .... 1

37 more  than 2 times the second  the number is expressed as;

37+2y

If the first number is 37 more  than 2 times the second  number, then;

x = 37 + 2y

x - 2y = 37 ...2

This shows that the simultaneous equation that fits the expressions are;

x - 2y = 37

x + y = 25

For the expression

A child has a piggy bank full  of $1 and $2 coins totaling  $37.  There are 25 more $1 coins  than there are $2 coins.

Let x be the $1 coins

Let y be the $2 coins

If a child has a piggy bank full  of $1 and $2 coins totaling  $37, then;

x + 2y = 37 ... 1

Also, if there are 25 more $1 coins  than there are $2 coins, then;

x = 25 + y

x - y = 25 ...2

The equivalent expressions for the statement will be;

x + 2y = 37

x - y = 25

This hence leaves us with the last;

An exam that is worth 37  marks contain 25  questions.  The questions are either  worth 1 mark or 2 marks. The resulting simultaneous equation will be;

x + 2y = 37

x + y = 25

Good evening, I would need some help on this exercise.
Paul takes advantage of the sales to buy pants for € 29.50 which initially cost € 5 more. He also buys a € 17 T-shirt on which he is entitled to a 25% discount at the cash desk. What percentage of the total amount of his purchases did he save by purchasing these items during the sales?
thank you​

Answers

Answer:

 He Saved 18.664%

Step-by-step explanation:

Well first we need to find the total of the original price of the items he got

then we can solve for how much (in percentage) he saved

We know the original price of the pant as € 34.50 because 5+29.50=34.50

Now lets find out the original price of the shirt

The shirt's original price can be found by using this equation

x * .75 = 17

17/ .75  = x

22.67 = x

Now since we know the prices of these two items lets add them together

34.50 + 22.67 = 57.17

He actually spent

29.50 + 17 = 46.5

Now what percentage of 57.17 is 46.5?

We can use 46.5/57.17 = 0.81336

.81336 *100 =  81.336%

100-81.336 = 18.664

18.664% was saved

i need help A S A P!

Answers

Answer:

ewfwefwfewfwfwe

Step-by-step explanation:

one morning sam cycles 5km in 20 mins and Dwight cycles 6km in 30mins Determain who cycles faster. Show your work

Answers

Answer:

5 + 20 + 6

Step-by-step explanation:

that's how you get

which algebraic expression represents this word description?

the product of two and the difference between eleven and a number

a. 2(11-x)
b. 11-2x
c. 2x-11
d. 2(x-11)

Answers

Step-by-step explanation:

c. 2x-11 this is the answer

hope this helps you

have a nice day:)

Can someone please help me out with a small explanation thank you :)

Answers

Step-by-step explanation:

1 . when we collect like terms we only focus on the variables and the power of the variable I f exist so in this question the answer is 8x^2 because both have the same variable and same power or exponent.

2. one term is monomial

two terms is binomial

3. b

4. -9

5. c

Work out the circumference of this circle 7.5

Answers

Answer:

47.12

Step-by-step explanation:

C=2πr=2·π·7.5≈47.12389

I don’t understand what A is trying to ask please could someone help me? Thank you!

Answers

You have the right idea. You'll apply a y-axis reflection to go from above the x axis to below it. This allows us to move the red line into the correct vertical position without having to use a vertical translation.

Afterward, you'll shift the red line 4 units to the right to have it line up perfectly with the blue line.

Going from f(x) to -f(x) is the y-axis reflection part

Going from -f(x) to -f(x-4) will shift the line 4 units to the right.

Answer:  g(x) = -f(x-4)

In English auction, an item is auctioned. People increase bids in increments of $10, and the player giving the highest bid gets the item for that amount of money. Give reasons why the auctioneer would be considered a player of the game, or reasons why he or she would not. Does the game contain random moves

Answers

The game does contain random moves. It depends on how player is being described in this situation

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?

x – 4

x – 2

x + 2

x + 4

Answers

X + 4 is the answer to the problem

Can Anyone please tell me How to Multiply 18√2×18√2...
Please show steps aslo..​

Answers

Answer:

648

Step-by-step explanation:

18√2×18√2= (18√2)²

                  = (18)²×(√2)²

                  = 324×2

                  = 648

What is … equal to?

Answers

9514 1404 393

Answer:

  528

Step-by-step explanation:

The sum can be decomposed into parts that may be easier to figure.

  [tex]\displaystyle\sum_{n=1}^{24}(2n-3)=2\sum_{n=1}^{24}(n)-3\sum_{n=1}^{24}(1)=2\dfrac{24\cdot25}{2}-3\cdot24\\\\=600-72=\boxed{528}[/tex]

Find the volume

Help me please

Answers

Answer:

54piecm^3

Step-by-step explanation:

pie x radius ^2 x h

= v

pie x 9

= 9pie x 6

= 54pie

Answer:

54pi cm^3

Step-by-step explanation:

V = (pi)r^2h
V = (pi)(3^2)(6)
V = (pi)(9)(6)
V = 54pi cm^3

Solve 7x + 1 < 4(x - 2).

A. {x | x > 3}
B. {x | x > -3}
C. {x | x < -3}
D. {x | x < 3}

Answers

SoLuTiOn☞

Given:- 7x + 1 < 4(x - 2)

Solving It:-

7x + 1 < 4(x - 2)

7x + 1 < 4x - 8

7x - 4x < -8 -1

3x < -9

x < -9/3

x < -3

So Correct Solution Set Will Be

C. {x | x < -3}

Hope This Helps You
So your answer is C hope this help

Hellllllllp plsss!! Due in very soon maths

Answers

Answer: 23, 27,29

Those im absolutely positive about.

Im not sure abt the rest

Step-by-step explanation:

PLEASE HELP WILL MARK BRAINLIEST!

Answers

Answer:

a. 125 degrees

b. 62 degrees

c. 58 degrees

d. 130 degrees

Step-by-step explanation:

I assume these are the inner angles of the polygons.

remember, for a polygon with n sides we can fully split it into n-2 triangles without overlap.

each of these triangles has an angle sum of 180 degrees.

to get the total inner angle sum of the polygon, we need to multiply 180 by (n-2) (= the number of triangles).

out of that total we can then calculate the size of the missing angle.

a. 6 sides, therefore 4 triangles

4×180 = 720 degrees

the missing angle is

angle = 720 - 88 - 152 - 125 - 105 - 125 = 125

b. 5 sides, 3 triangles

3×180 = 540 degrees

angle = 540 - 109 - 111 - 140 - 118 = 62

c. 4 sides, 2 triangles

2×180 = 360

angle = 360 - 60 - 142 - 100 = 58

d. 7 sides, 5 triangles

5×180 = 900

angle = 900 - 90 - 120 - 140 - 150 - 120 - 150 = 130

Sameera purchased 3 (1/2) kg of apples and 4 (3/4) kg of oranges. What is the total weight of fruits purchased by her ?

Answers

Answer:

8 1/4 kg

Step-by-step explanation:

Add the weight of the fruits together

3 1/2 + 4 3/4

Get a common denominator of 4

3 2/4 + 4 3/4

7 5/4

7 4/4 + 1/4

8 1/4 kg

Can someone help me out, please? Its really important

Answers

Answer:

3x^4+8x^3+9x^2+2x

Mario invested $6,000 in an account that pays 5% annual interest compounded annually. Using the formula A = P(1 + r)t, what is the approximate value of the account after 2.5 years?

Answers

Answer:

$6778.36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

P is principle amountr is raten is compounded ratet is time

Step-by-step explanation:

Step 1: Define

Identify variables

P = 6000

r = 5% = 0.05

n = 1

t = 2.5

Step 2: Find Interest

Substitute in variables [Compounded Interest Rate Formula]:                     [tex]\displaystyle A = 6000(1 + \frac{0.05}{1})^{1 \cdot 2.5}[/tex]Simplify:                                                                                                             [tex]\displaystyle A = 6000(1.05)^{2.5}[/tex]Evaluate:                                                                                                            [tex]\displaystyle A = 6778.36[/tex]

The answer for (a) is 28 and the answer for (b) is 13 but I don’t know how to get the answer

Answers

Answer:

Step-by-step explanation:

If Quan had 15 and Kaden had 3 times as much, then Kaden had 15(3) = 45. If he spent 10 then he had 35 left. The amount of money Quan had after his mom gave him some was 4/5 the amount of Kaden's 35 (let x = the amount of money Quan has after his mom gives him some):

[tex]x=\frac{4}{5}(35)[/tex]  35 divides by the 5 in the denominator 7 times, and 7 times 4 is 28. That's how you get your 28 in part a.

For part b., he started with 15 and ended with 28, so his mom gave him 28-15=13. That's how you get the 13.

Last month, Margo bought a tree that grows 2.5 each day. It was 5cm tall when she bought it and now it is 65cm tall. How many days has Margo owned the plant?

Answers

Answer:

2.6

Step-by-step explanation:

2.5÷65=2.6

Please solve this question 3(n+4)=5n?

Answers

Answer:

6=n

Step-by-step explanation:

Hi there!

We are given this equation:

3(n+4)=5n

And we need to solve it for n

To do that, we need to isolate n on one side

But we need to open up the parentheses on the left side by doing the distributive property

Multiply both n and 4 by 3

3n+12=5n

Now subtract 3n from both sides to remove it from the left side

12=2n

Divide both sides by 2 to change the coefficient on n from 2 to 1

6=n

n is now isolated on one side

Hope this helps!

Answer:

n=6

Step-by-step explanation:

Using the distributive property, we distribute 3 to n and 4. In case if you don't know what that means, it means we multiply 3 to the variables inside the parentheses. So we get (3×n)+(3×4)=5n, and we simplify it so we get 3n+12=5n. Now, we can subtract 3n from both sides and get 12=2n, and divide 2 from both sides and get n=6.

PLEASE HELP!!!

Select the correct answer.
Which function has an average rate of change of -4 over the interval [-2, 2]?

Answers

Answer:

D.

Step-by-step explanation:

Find the average rate of change of each given function over the interval [-2, 2]]:

✔️ Average rate of change of m(x) over [-2, 2]:

Average rate of change = [tex] \frac{m(b) - m(a)}{b - a} [/tex]

Where,

a = -2, m(a) = -12

b = 2, m(b) = 4

Plug in the values into the equation

Average rate of change = [tex] \frac{4 - (-12)}{2 - (-2)} [/tex]

= [tex] \frac{16}{4} [/tex]

Average rate of change = 4

✔️ Average rate of change of n(x) over [-2, 2]:

Average rate of change = [tex] \frac{n(b) - n(a)}{b - a} [/tex]

Where,

a = -2, n(a) = -6

b = 2, n(b) = 6

Plug in the values into the equation

Average rate of change = [tex] \frac{6 - (-6)}{2 - (-2)} [/tex]

= [tex] \frac{12}{4} [/tex]

Average rate of change = 3

✔️ Average rate of change of q(x) over [-2, 2]:

Average rate of change = [tex] \frac{q(b) - q(a)}{b - a} [/tex]

Where,

a = -2, q(a) = -4

b = 2, q(b) = -12

Plug in the values into the equation

Average rate of change = [tex] \frac{-12 - (-4)}{2 - (-2)} [/tex]

= [tex] \frac{-8}{4} [/tex]

Average rate of change = -2

✔️ Average rate of change of p(x) over [-2, 2]:

Average rate of change = [tex] \frac{p(b) - p(a)}{b - a} [/tex]

Where,

a = -2, p(a) = 12

b = 2, p(b) = -4

Plug in the values into the equation

Average rate of change = [tex] \frac{-4 - 12}{2 - (-2)} [/tex]

= [tex] \frac{-16}{4} [/tex]

Average rate of change = -4

The answer is D. Only p(x) has an average rate of change of -4 over [-2, 2]

Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

PLEASE HELP URGENTLY!!

Answers

Answer:

x = 69

Step-by-step explanation:

since AB is parallel to CD we can find the value of y with the following equation :

2y - 40 = 66 add 40 to both sides

2y = 110 divide both sides by 2

y = 55

from supplementary angles, we know that the exterior angle's measure is 124

since the sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

y + x = 124 we found value of y earlier

55 + x = 124 subtract 55 from both sides

x = 69

Please help, explain too and I will give brainliest :)

Answers

Answer:

c

Step-by-step explanation:

Answer:

C. 37 degrees

Step-by-step explanation:

27, 36, 45 is just a larger 3, 4, 5 triangle. The smallest angle is across from the smallest side. With those in mind, we have 37, 53, and 90 degrees as the angles for a 3, 4, 5 triangle. We pair the 27, (the three when we reduce) with the smallest angle, the 37.

I'm sure you can do it with an actual formula, but i can't recall. Cheers

​Mrs. Ella bought something's bought 3 lb of apples. The price is $2.49 per pound. How much did she pay for the three pounds of apples ?​

Answers

Answer:

$7.47

Step-by-step explanation:

Take the number of pounds and multiply by the price per pound

3 * 2.49

7.47 for 3 pounds of apples

Answer:

7.49

Step-by-step explanation:

Given: 3 pounds, and 2.49 for each pound

Multiply:

2.49 × 3

 ₁   ₂    

 2.49

×      3

----------

 7. 47

Mrs. Ella bought 3 pounds of apples for $7.49

Please help me with this

Answers

Answer:

1/6 for white and 1/2 for black

Step-by-step explanation:

My knowledge!

Hope it helps!

Answer:

4/15

Step-by-step explanation:

There are 6 white+4black = 10 marbles in the bag

P (white) = white marbles / total marbles = 6/10 = 3/5

We keep the marble

There are 5 white+4black = 9 marbles in the bag

P (black) = black/total = 4/9

P(white, black no replacement) = 3/5 * 4/9 = 3/9 *4/5 = 1/3*4/5 = 4/15

Find the measure of the indicated angle to the nearest degree

Answers

Answer: x=31°

Step-by-step explanation:

To find the missing angle, we need to use SOHCAHTOA. We can eliminate sine and tangent because we aren't given the opposite side. Therefore, we use cosine.

[tex]cos(x)=\frac{48}{56}[/tex]          [use inverse cosine]

[tex]x=cos^{-1}(\frac{48}{56})[/tex]

[tex]x=31[/tex]

Now, we know x=31°.

From the given figures, find the length of unknowns sides of Pythagorean theorem. (In solution)​

Answers

use the formula and substitute the values in a^2 + b^2 = c^2

Answer:

61cm

Step-by-step explanation:

A right angled triangle is given to us with two sides as 11cm and 60 cm .We need to find out the length of the third side . Here , since it is a right angle triangle we can apply the Pythagoras theorem .

Pythagoras Theorem :- In a right angle triangle sum of squares of perpendicular and base is equal to the square of hypotenuse.

[tex]\rm\implies hypontenuse^2 = base^2+perpendicular^2[/tex]

As we can see that here ,

Base = 11cm

Perpendicular = 60cm.

[tex]\rm\implies Hypontenuse^2 = Perpendicular^2+Base^2 [/tex]

Substitute the respective values ,

[tex]\rm\implies h^2 = (11cm)^2+(60cm)^2 [/tex]

Simplifying ,

[tex]\rm\implies h^2 = 121cm^2+3600cm^2 [/tex]

Add the numbers on RHS ,

[tex]\rm\implies h^2= 3721 [/tex]

Take squareroot on both sides ,

[tex]\rm\implies h =\sqrt{61\times 61}[/tex]

Simplify the squareroot ,

[tex]\rm\implies \boxed{\blue{\rm Hypontenuse= 61 cm }}[/tex]

Hence the hypontenuse of the triangle is 61cm .

Other Questions
what is the solution to this equation?5x-4+3x=36A. x=16B. x=5C. x=20D. x=4 Fraces bonitas para decirle a tu nv?minimo 6 if person is male their username is the last 3 letters of their surname and the first 2 letters of their first name if a person is female their username is the first 3 letters of their first name and the last 2 letters of their last name. write an algorithm to output a username (Could you answer in Python pls) In which nation did a U.S.-supported dictatorship "disappear" up to 30,000people?A. AfghanistanB. GuatemalaC. ArgentinaD. Chile Which term in the passage includes a formal definition? a. herbicide-resistant super-weeds (paragraph 6) b. nutritional value (paragraph 5) c. genetically modified organisms (paragraphs 1 and 2) d. processed foods (paragraphs 3 and 4) You and a friend decide to take a road trip. You drive an average speed of 70 mph and your friend drives an average of 75 mph. You want to drive at least 500 miles per day. You also plan to spend no more than 10 hours driving each day. Which of the following is a system of linear inequalities that represents this situation? Let x = number of hours you drive and let y represent the number of hours your friend will drive. Did the Enlightenment idea of natural law play any part in why the colonists decide to rebel against England. Is no or yeS Which is another word for 10 meters in the metric system? How do plants use carbon dioxide? A. To build proteins. B. They store it as fuel in limestone deposits. C. To produce sugars. D. They release it as waste. Add commas with a FANBOYS, semicolons, or periods as needed to punctuate the independent clauses. Some sentences have more than one right answer. 1. I love Jim but Jim loves John.2. I have been to New York and I have been to California.3. We all want to be happy but suffering is part of being human. 4. I need to sell some furniture I will put an ad on Craig's List.5. The painting on Marsha's wall was done by her mother she loved it. 6. I study all the time yet I cant seem to get all A's.7. Judy wasnt hungry however, she ate anyways.8. We were all tired of C*VID yet we carried on. ------9. Write a sentence containing two independent clauses connected with a comma and FANBOYS.10. Write a sentence containing two independent clauses connected with a semicolon. Peabody Company owns 90% of the outstanding capital stock of Sloane Company. During 2014 and 2015 Sloane Company sold merchandise to Peabody Company at a markup of 25% of selling price. The selling price of the merchandise sold during the two years was $42,400 and $24,000, respectively. At the end of each year, Peabody Company had in its inventory one-fourth of the goods purchased that year from Sloane Company. Sloane Company reported net income of $29,300 in 2014 and $35,300 in 2015. Required:Determine the amount of the noncontrolling interest in consolidated income to be reported for 2014 and 2015. i will brainliestavoid spamExpress each of the following percentages as a fraction and simplify it.(i) 25% (ii) 40% (iii) 16% (iv) 150%(v) 120% (vi) 58% (vii) 32% (viii) 175% AIDs is not curable but preventable disease. explain. what is the gradient? Quadrilateral ARMYARMYA, R, M, Y is rotated 9090 90, degrees about the origin. Answer theas question Which technique is best suited to each application? a. In the second week of a four week biochemistry experiement, you have 50 fractions collected from a gel filtration column to determine which fractions contain lactate dehydrogenase. You are given only 400 uL of 0.100 mg/mL lactate dehydrogenase to prepare your calibration curve. 96-well microplate b. Your environmental lab has 2000 samples to be analyzed for trace ammonia by next week. discrete analyzer. c. Twenty water samples must be analyzed for Cl-, NH3, PO3-, and So during each work shift. flow injection analysis colorimeter. d. Your professor heard you will be hiking the Appalachian Trail next summer. She asks you to collect 100-mL water samples from the ten streams with the highest concentration of phosphate. Looking back on his life, Leon, age 84, isnt sure if he made much of an impact on the world. Hes able to find peace and contentment in spending time with his family and is trying hard to live so that he has no regrets. This fits with which conflict in Eriksons stages of development? Ophelia is making homemade spaghetti sauce by combining 48 oz of tomato paste with 6 cups of water.ophelia needs to make a small batch of sauce using only 20 ounces of tomato paste how many cups of water will she need.show your work Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction ifNeeded.