Write an absolute value equation for the following situation: A 16-ounce bottle of Diet Coke with a tolerated
variance of 0.09 oz. in either direction.

Answers

Answer 1

Answer:

the answer is :A

Step-by-step explanation:

because i had did it and got it right


Related Questions

plzz help if you can.. i'm confused

Answers

Answer: A

Step-by-step explanation:

If you look at the line segment, it states that EG is 12. Now, we add EF and FG to get the value of x.

6x-8+2(x+2)=12          [distribute]

6x-8+2x+4=12            [combine like terms]

8x-4=12                       [add both sides by 4]

8x=16                          [divide both sides by 8]

x=2

Now, we know that A is the correct answer.  

Answer: The answer is A.

Step-by-step explanation:

how many planes of symmetry does a rectangular pyramid has?

Answers

Answer:

6

Step-by-step explanation:

If Chang jogs one lap around the inside track, how far does he jog

Answers

Answer:

836 m

Step-by-step explanation:

Given that the tracks are similar, therefore, the ratio of the lenght of all corresponding sides of the inside track to the outside track are equal, and have the same scale factor.

Only 1 side of the inside track is given as 395 m. It corresponds to the side of the outside that measures 553 m. Therefore:

scale factor = 395:553 = [tex] \frac{395}{553} = 0.7 [/tex]

Find the remaining two sides of the insider tracks by multiplying the lenght of the side of the outside tracks that corresponds to each by the scale factor.

Thus:

280*0.7 = 196 m

350*0.7 = 245 m

The remaining 2 side lengths of the inside tracks are 196 m and 245 m.

If Chang completes 1 lap around the inside tracks, he would have gone: 395 + 196 + 245 = 836 m.

Answer: D. 1277

Step-by-step explanation:

First you divide 553 by 395 : 553/395=1.4

Now that you have 1.4 , you multiply that times both 350 and 280.

280 • 1.4=392

350 • 1.4=490

Add up all the sides: 395+392+490=1277

Adam’s bank account has a balance of $1213.69 before he starts spending money. He makes the following transactions:

Transaction
Cost ($)
Car payment
260.16
Groceries
97.98
Parking ticket
75.00
DVD box set
115.35
Antique lamp
68.53
Suit
331.84

Adam is considering getting his car a new paint job. Doing so will have a total cost of $264.83. Can Adam afford this?
a.
Yes, he can make the purchase and still have money left over.
b.
Yes, but doing so will clear out his account.
c.
No, purchasing that would overdraw his account.
d.
No, he is overdrawn already.

Answers

Answer: B. Yes, but doing so will clear out his account.

Step-by-step explanation:

I just took a test and answered it correct.

Since Adam’s bank account has a balance of $1213.69 before he starts spending money. So, option b.Yes, but doing so will clear out his account.

Calculation of the amount:

Since

Adam’s bank account has a balance of $1213.69 before he starts spending money.

The total of transactions should be like

= $260.16 + $97.98 + $75 + $115.35 + $68.53 + $331.84

= $948.85

Now the balance amount is

= $1,213.69 - $948.85

= $264.84

Based on this, we can say that the option b is correct.

learn more about amount here: https://brainly.com/question/24338143

Does (3, 0) make the equation y = x true?

Answers

Hey there! I'm happy to help!

This does not satisfy the equation y=x as x and y have two different values. 0 and 3 are not equal. A point like (3,3) would satisfy that equation.

Have a wonderful day! :D

Here is what the question is saying

y=x
0=3

Now, is 3=0? No. So the equation is false


Hope this helps :)


A middle school mathematics teacher accepts a teaching position that pays $40,000 per year. Each year, the expected raise is $2000. How much total money will
this teacher earn teaching middle school mathematics over the first years?

Answers

Answer:

$42000

Step-by-step explanation:

step one:

Given that the initial salary is  $40,000

each year and the expected pay rise is $2000 each year

step two:

We can calculate her expected earnings at the end of the year to be

= salary +expected pay rise

=$40000+$2000

= $42000

Hence at the end of the year, she will earn a total of  $42000

hey guys can u guys plz put this in ascending order: 0.8 0.88 86% 21/25 ( the 21/25 is a fraction)

Answers

Answer:

im pretty sure ascendeing means going up so thats how im going to put it. from lowest to highest.

Step-by-step explanation:

0.8, 0.84 (0.84 is also 21/25) then there is 0.88 then there is 86.

hope this helps

–8 ÷ 2 = Can you help me plzz.

Answers

Answer:

-4

Step-by-step explanation:

so a minus divided by a plus is a minus so -8÷2 is -4.

find the derivative of y=cos^2(5x^3-2x)

Answers

Step-by-step explanation:

Use power rule and chain rule.

y = cos²(5x³ − 2x)

dy/dx = 2 cos(5x³ − 2x) (-sin(5x³ − 2x)) (15x² − 2)

dy/dx = 2 cos(5x³ − 2x) sin(5x³ − 2x) (2 − 15x²)

Use double angle formula to simplify:

dy/dx = sin(10x³ − 4x) (2 − 15x²)

1. What is the slope of the line that passes through the given points?
(2, 12) and (6, 11)

Answers

Answer:

Slope = -1/4

Step-by-step explanation:

(x1,y1) = (2,12)

(x2,y2) = (6,11)

Slope = y2-y1/(x2-x1)

11-12/6-2= -1/4

find the measure of the angle indicated by 7x+12

Answers

Answer:

61°

Step-by-step explanation:

7x + 12 and 17x are same- side interior angles and are supplementary. thus

7x + 12 + 17x = 180. that is

24x + 12 = 180 ( subtract 12 from both sides )

24x = 168 ( divide both sides by 24 )

x = 7

Thus

7x + 12 = 7(7) + 12 = 49 + 12 = 61°

Fadi earned money selling pies and cakes. For the pies, he made a profit of $250 with an expense of $5 per pie. For the cakes, he made a profit of $200 with an expense of $4 per cake. He sold the same number of pies and cakes.

Answers

The answer is Uhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

the answer is 50

Step-by-step explanation:

i took the test and guessed and got it right

I need to find the rule for x and y

Answers

Times 3 minus 5

For example. 10 x 3 ⇨ 30 - 5 = 25

Can someone help me with number 23?

Answers

Answer:

See explanation

Step-by-step explanation:

It is impossible to take the square root of a negative number. Try any value, nothing works. [tex]2^2 = 4[/tex], and [tex]-2^2 = 4[/tex]. It just doesn't work. This is why there is no real number that satisfies [tex]\sqrt{-4}[/tex] (however it is represented as [tex]2i[/tex], i being "the imaginary number" that mathematicians made up to represent it).

When we are finding the cube root of a number, we are looking for a number that when multiplied by itself 3 times, will equal the number.

This is different than squared. Any number, positive or negative, squared will be positive. However, we can test out values and see we can end up with a negative when cubing.

For example: [tex]5^3 = 5\cdot 5\cdot 5 = 125[/tex]

HOWEVER:

[tex]-5^3 = -5 \cdot -5 \cdot -5 = -125[/tex]

We know that [tex]2^3 = 8[/tex], this means that [tex]-2^3 = -8[/tex] (as [tex]-2 \cdot -2 \cdot -2 = -8[/tex])

Hope this helped!

HELP

Determine whether the relation is a function

y=2w=2​

Answers

Answer:

Hi there!

I might be able to help you!

It is NOT a function.

Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function. X = y2 would be a sideways parabola and therefore not a function. Good test for function: Vertical Line test. If a vertical line passes through two points on the graph of a relation, it is not a function. A relation which is not a function. The x-intercept of a function is calculated by substituting the value of f(x) as zero. Similarly, the y-intercept of a function is calculated by substituting the value of x as zero. The slope of a linear function is calculated by rearranging the equation to its general form, f(x) = mx + c; where m is the slope.

A relation that is not a function

As we can see duplication in X-values with different y-values, then this relation is not a function.

A relation that is a function

As every value of X is different and is associated with only one value of y, this relation is a function.

Step-by-step explanation:

It's up there!

God bless you!

Find the number that makes the ratio equivalent to 1:3. 12 : ?

Answers

Answer:

36

Step-by-step explanation:

Since 12 is the first number in the next ratio, multiply it by each number in the first ratio-

1*12=12

3*12=36

Answer= 12:36

Hope this helped

One metre of material costs Rx. Write an expression to show that 8 metres cost R116.

Answers

Answer:

8x = R116

x = R14.5

Step-by-step explanation:

1 metre costs = x

8 metres cost = 8x

8x = 116 is the required equationx = 116/8x = 14.5

Answer is: R14.5


if mBC= 24 ft, mAC = 2x+1, and the mBA=7x-4, what is the value of x?

Answers

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]BC = 24[/tex]

[tex]AC = 2x + 1[/tex]

[tex]BA = 7x - 4[/tex]

Required

Find x

The given parameters shows that A is a point on BC;

So:

[tex]BC = BA + AC[/tex]

Substitute values for BC, BA, AC

[tex]24 = 7x - 4 + 2x + 1[/tex]

Collect Like Terms

[tex]24 + 4 - 1 = 7x + 2x[/tex]

[tex]27 = 9x[/tex]

Solve for x

[tex]x = 27/9[/tex]

[tex]x = 3[/tex]

Answer:

x=3

Step-by-step explanation:

:)

This number is in scientific notation.
2.4 x 104
Convert the number into standard notation. What is the value?
2.4 x 10-4 =

Answers

Answer:

24

0.00024

hope it helps;)

Answer:

0.00024

Step-by-step explanation:

complete the sentence. the midpoint btween 2 and 10 is

Answers

Answer:

6

Step-by-step explanation:

On a coordinate plane, a line goes through (0, negative 1) and (3, 1). A point is at (negative 3, 0).
What is the equation of the line that is parallel to the given line and has an x-intercept of –3?

y = Two-thirdsx + 3
y = Two-thirdsx + 2
y = Negative three-halvesx + 3
y = –Three-halvesx +

Answers

Answer:

its the 3rd one

Step-by-step explanation:

i did it on end 2020

Answer:

C

Step-by-step explanation:

Ned wants to buy a car that costs $22,000. He has $12,500 saved. How much more does he need?

Answers

Answer:

$9,500

Step-by-step explanation:

$9,500. Answer is found by subtracting the amount that he already has by the amount he must have in the end.

PLEASE answer ASAP. THANK YOU

Answers

Answer:

< and [tex]\leq[/tex] and [tex]\neq[/tex]

Step-by-step explanation:

-7 is less than -4

-7 is less than -4, so less than or equal to works too. Because it is or, it works in this scenario.

-7 is also not equal to -4

Answer <

Step-by-step explanation:

Closer to zero

A coordinate grid is placed over a map. City A is located at (19,22). City B is located at (-7,-2). If City C is halfway between City A and City B, Where is City C located? What is the distance between City A and City C? (Round to the nearest tenth)

Answers

Answer:

City C location: (6,10)

Distance between City A and City C: √313 or 17.69

Step-by-step explanation:

Use midpoint formula: (x2 + x1)/2, (y2 + y1)/2

Plug in the numbers, this gives you (6,10)

Use distance formula to find distance between City A and City C.

√(x2−x1)^2+(y2−y1)^2

Plug in the numbers, this gives you √313 which is also 17.69

rewrite 5 3/4 as an improper

Answers

Answer:

5 3/4= 23/4 in improper fraction

The container that holds the water for the football team is
1/10 full.
After pouring in 12 gallons of water, it is 1/2 full.
How many gallons can the
container hold.

Answers

Answer:

30 Gallons

Step-by-step explanation:

Okay so you need to start by making an equation for yourself. Since the container starts at 1/10 of the total, you want to start by saying 1/10x. Then you add 12 gallons of water to make it half full. So 1/10x + 12 = 1/2x where x is the total amount that can fit in the container.

1/10x + 12 = 1/2x (Move your x's to the same side.)

12 = 1/2x - 1/10x (Find a common denominator.)

12 = 5/10x - 1/10x (Simplify/)

12 = 4/10x (Multiply both sides by 10; your demoninator)

120 = 4x (Divide)

x = 30

Your container holds 30 gallons.

Given the function f(x)=4|x-5|+3 for what values of x is f(x)=15

Answers

Answer:

  {2, 8}

Step-by-step explanation:

We want to find x for ...

  15 = 4|x -5| +3

  12 = 4|x -5| . . . . subtract 3

  3 = |x -5| . . . . . . divide by 4

  ±3 = x -5 . . . . . . show the meaning of absolute value

  5 ±3 = x = {2, 8} . . . . . add 5

The values of x for which f(x) = 15 are 2 and 8.

Josefina originally had $550 in her checking account. After withdrawing $100 each week, Josefina has a new balance of $50. Which best represents w, the number of weeks Josefina withdrew money from her checking account?



A. 550 - 100w = 50

B. 550 + 100w = 50

C. 50 + 100w = 550

D. 50 - 100w = 550

Answers

The answer to this question is A
Answer: A

Reasoning: she started out with 550 dollars and takes 100 each week. So you would multiple the 100 by the number of weeks. You would need to then subtract the original amount by the amount getting taken away to then equal the 50 dollars.
I hope that made sense

The difference of two perfect cubes is 386. If the cube root of the smaller of the two numbers is 7, then the cube root of the larger number is​

Answers

Answer:

9

Step-by-step explanation:

Let the two perfect cubes be x and y where x > y.

According to the given conditions:

[tex] {x}^{3} - {y}^{3} = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\ {x}^{3} - {7}^{3} = 386 \\ {x}^{3} - 343 = 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 729 \\ x = \sqrt[3]{729} \\ x = 9[/tex]

Thus the cube root of the larger number is 9.

Building and solving an equation, it is found that the cube root of the larger number is 9.

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

Examples of perfect cubes are 1, as [tex]1^3 = 1[/tex], 8, as [tex]2^3 = 8[/tex], 27, as [tex]3^3 = 27[/tex], and so on...We do not know the numbers, so they are called [tex]x^3[/tex] and [tex]y^3[/tex].Since the difference is 386, we have that:

[tex]x^3 - y^3 = 386[/tex]

The cube root of the smaller number is 7, thus, [tex]y = 7[/tex], and now, it is possible to solve for x, and find the cube root of the larger number.

[tex]x^3 - y^3 = 386[/tex]

[tex]x^3 - 7^3 = 386[/tex]

[tex]x^3 - 343 = 386[/tex]

[tex]x^3 = 386 + 343[/tex]

[tex]x^3 = 729[/tex]

[tex]x = \sqrt[3]{729}[/tex]

[tex]x = 9[/tex]

Thus, the cube root of the larger number is 9.

A similar problem is given at https://brainly.com/question/13161078

Give the range of the set of ordered pairs for this discrete data:
(-8, 6),(2. 11),(7, 21), (9,-3)

Answers

Answer:

8,6 2,11 7,21

Step-by-step explanation:

easy peasy

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