Roxanne has $20 and she wants to buy some shirts. She picks one shirt that costs $10.99 and two shirts that cost $4.99 each. Which statement best describes if an exact total or an approximate total should be calculated? A. Roxanne must add the exact cost of the three shirts so she will know if she has enough money to buy the third shirt. B. Roxanne can round the prices of the shirts to the nearest dollar and then add to estimate if she has enough money.

Answers

Answer 1

Answer: your answer is B hope it right

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1.)What is the only solution of 2x^2 + 8x = x^2 – 16?
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What is 12.312 trillion in scientific notation?

Expand and simplify
4a^2(b^2-c)+2ab(ab-c)-ac(a+2b)

Answers

$4a^2(b^2-c)+2ab(ab-c)-ac(a+2b)\n-----------------------\nuse\ distributive\ property:a(b-c)=ab+ac\n-----------------------\n=4a^2b^2-4a^2c+2a^2b^2-2abc-a^2c-2abc\n=(4a^2b^2+2a^2b^2)+(-4a^2c-a^2c)+(-2abc-2abc)\n\n=\boxed{6a^2b^2-5a^2c-4abc}$

4a²(b² - c) + 2ab(ab - c) - ac(a + 2b)
4a²(b²) - 4a²(c) + 2ab(ab) - 2ab(c) - ac(a) - ac(2b)
4a²b² - 4a²c + 2a²b² - 2abc - a²c - 2abc
4a²b² + 2a²b² - 4a²c - a²c - 2abc - 2abc
6a²b² - 5a²c - 4abc

JUST HELP ME ITS DUE IN5 MINUTES:"( ASAP <3

Answers

Answer:

A. 25%

25% is equivalent to 1/4 and when you multiply 75 by 4 you get 300. Which means 75 is equivalent to 1/4 and 1/4 is equivalent to 25%. So the answer is 25%. I'm so sorry if this explanation is bad

Write en rquation for the line passing through point (3,3) and parallel to the line whose equation is y=-(1)/(6)x+7

Answers

Answer:

y = - $(1)/(6)$ x + $(7)/(2)$

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given the line with equation

y = - $(1)/(6)$ x + 7 ← in slope- intercept form

with slope m = - $(1)/(6)$

• Parallel lines have equal slopes , then

y = - $(1)/(6)$ x + c ← is the partial equation of the parallel line

to find c, substitute the point (3, 3 ) for x/ y into the partial equation

3 = - $(1)/(6)$ (3) + c = - $(1)/(2)$ + c ( add $(1)/(2)$ to both sides )

$(6)/(2)$ + $(1)/(2)$ = c , that is

c = $(7)/(2)$

y = - $(1)/(6)$ x + $(7)/(2)$ ← equation of parallel line

Final answer:

The equation of the line passing through point (3,3) and parallel to y = -(1/6)x + 7 is y = -(1/6)x + 3.5, which is achieved by knowing that parallel lines have the same slope and substituting the coordinates of the given point into the y = mx + b (slope-intercept form) and solving for the y-intercept 'b'.

Explanation:

The question asks for an equation of a line that is parallel to the equation y = -(1/6)x + 7 and also passes through the point (3,3). First, it's significant to understand that parallel lines share the same slope. Looking at the equation y = -(1/6)x + 7, we can see that the slope, or 'm' value, is -1/6. Therefore, the slope of our new line will also be -1/6. The conventional form of the equation for a line is y = mx + b where m is the slope and b is the y-intercept. Since we know the slope and have a point that lies on the line, we can substitute these values into this formula to solve for 'b'.

Here's how we do it:

First, substitute the point's coordinates into the equation for the line: 3 = (-1/6)*3 + b

This simplifies to: 3 = -1/2 + b

Then solving for 'b', we get: b = 3 + 1/2 = 3.5

Therefore, the equation of our new line that is parallel to the original line and passes through the point (3,3) is y = -(1/6)x + 3.5.

Learn more about Equation of a parallel line here:

brainly.com/question/402319

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Find the indicated limit, if it exists. (2 points) limit of f of x as x approaches 5 where f of x equals 5 minus x when x is less than 5, 8 when x equals 5, and x plus 3 when x is greater than 5

Answers

It looks like we have

$f(x)=\begin{cases}5-x&\text{for }x<5\n8&\text{for }x=5\nx+3&\text{for }x>5\end{cases}$

and we want to find $\lim\limits_(x\to5)f(x)$ .

Since $x$ is approaching 5, we don't care about the value of $f(x)$ when $x=5$ .

We do care about how $f(x)$ behaves to either side of $x=5$ . If $x\to5$ from below, then $f(x)=5-x$ , so that

$\displaystyle\lim_(x\to5^-)f(x)=\lim_(x\to5)(5-x)=5-5=0$

On the other hand, if $x\to5$ from above, then $f(x)=x+3$ , so that

$\displaystyle\lim_(x\to5^+)f(x)=\lim_(x\to5)(x+3)=5+3=8$

The one-sided limits do not match, since 0 ≠ 8, so the limit does not exist.

3/2 divided 1/4=n then n is between

Answers

3/2 ÷ 1/4= n

n(3/2) (4/1) = n

n= 12÷2

Which gives you six.

Line BC reflects about a line such that N is the reflection of B and O is the reflection of C. Point N is shown on the coordinate plane, but point O is not. What will the coordinates of point O be?(1, 5)
(3, 5)
(5, 5)
(6, 5)
(5,5)
(3,5)

Answers

If the line BC reflects about a line and point N( 3, 5 ) is the reflection of point B ( 3 , 7 ) then the reflection of C ( 5, 7 ) is O ( 5 , 5 ).
Answer: C ) ( 5, 5 )

Answer:

(5,5)

Step-by-step explanation:

Given that B has coordinates as (3,7) When reflected about a line the new coordinates are (3,5)

This implies that by reflection x coordinate remains the same but y reduced by 2 units.

Apply the same logic for unknown O.

C is reflected to O.

Original coordinates of C are (5,7)

Hence new coordinates i.e. that of O would be

x coordinate same as 5

y coordinate 2 less = 7-2 = 5

COordinates of O are (5,5)

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