A student has 8 pints of iced tea in a pitcher. The amount of iced tea in the pitcher is a function of x, the amount of iced tea she has poured from the pitcher, y. What is the domain of this function? a \large 0\le x\le8 b \large \left\{1,2,3,4,5,6,7,8\right\} c \large 0\le y\le8 d \large \left\{0,1,2,3,4,5,6,7,8\right\}

Answer:

Answer: Option D.

Step-by-step explanation:

Hey there!!

Here, To find the equation of a st.line passing through point (3,1) is :

[tex](y - 1) = m1(x - 3)[/tex]

It is the first equation.

Given, Another equation is:

[tex]y = \frac{2}{3} x + 1[/tex]

It is 2nd equation.

Comparing the 2nd equation with y = mx+c we get,

Slope (m2) = 2/3.

As per the condition of parallel lines,

m1 = m2 = 2/3.

Putting, the value of m1 in equation 1st we get,

[tex](y - 1) = \frac{2}{3} (x - 3)[/tex]

or, 3 (y-1) = 2(x-3)

or, 3y - 3 = 2x - 6

[tex]y = \frac{2x - 6 + 3}{3} [/tex]

[tex]y = \frac{2}{3} x - 1[/tex]

Diving-3/3 = -1.

Therefore, y = 2/3 x - 1 is the required equation.

Hope it helps.

Answer:

The answer is 8.50

Step-by-step explanation:

If you multiply 8.5 by 2 3/5 the aswer will be 22.1

⚠️I'm sorry if i'm wrong⚠️

Answer:

21

Step-by-step explanation:

3n - 15 - 6 + 2n = 4n

3 n + 2n = 4n + 15 + 6

5 n - 4n = 15 + 6

n = 21

Answer:

 n = 21

Step-by-step explanation:

Use distributive rule: a(b + c) = a*b + a*c

3(n -5) - (6 - 2n) = 4n

3*n - 3*5 + 6*(-1) - 2n *(-1) = 4n

3n  - 15 - 6 + 2n = 4n             {add like term in LHS}

3n + 2n - 15 - 6 = 4n

            5n - 21  = 4n              {add 21 to both sides}

       5n -21 + 21 = 4n +21

                     5n = 4n + 21         {subtract 4n from both sides}

             5n - 4n = 4n -4n +21

   n = 21

Answer:

A and E

Step-by-step explanation:

Other 2 wouldn't make sense

Only definite of A

Addition Property of Equality  ----If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

Commutative property of addition- changing the order of the numbers we are adding, does not change the sum. Here's an example of how the sum does NOT change, even if the order is changed

The properties that can be used to solve 7y - 15 = -29 are

Addition property of equality and inverse property of multiplication.

Given equation is 7y - 15 = -29.

We will solve for y and see which of the given following properties are applied.

Addition property of equality

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.

Inverse property of multiplication

It states that every non-zero x multiplied with 1/x will equal 1.

Solve for y.

7y - 15 = -29

We will add 17 on both sides of the equation.

7y - 15 + 15 = -29 + 15

7y = -14

Now, multiply 1/7 into both sides of the equation.

7y / 7 = -14 / 7

y = -2

While solving for y we see that we have to use the addition property of equality and inverse property of multiplication.

Learn more about properties for solving equations here: https://brainly.com/question/13282104

#SPJ5

Answer:

PA = XA

Step-by-step explanation:

Construction of an angle bisector,

1). Mark an arc from point W with the help of a compass which intersect lines WS and WZ at the points P and X respectively.

2). Marc two arcs of the same length form the points P and X which intersect each other at a point A.

3). Joint the points A and W.

Thus AW will be the angle bisector of angle PWX where PA = XA.

Therefore, distances PA and XA will be equal in measure.

Answer:

4

Step-by-step explanation:

because you subtract it.

Answer:

x=10

Step-by-step explanation:

4x=40

x= 40/4

x=10

[tex]h=\frac{-b}{2a}[/tex]

[tex]k=f(h)[/tex]

[tex]h=\frac{6}{2}[/tex]

[tex]h=3[/tex]

[tex]k=f(3)[/tex]

[tex]f(3)=9-18+1[/tex]

[tex]f(3)=-8[/tex]

The vertex is [tex](3,-8)[/tex]

Hope this helps.

頑張って!

Answer:

[tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex]

Step-by-step explanation:

The sequence has a common ratio r between consecutive terms, that is

r = 10 ÷ 2 = 50 ÷ 10 = 250 ÷ 50 = 5

Thus the sequence is geometric with recursive formula

[tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex]

I can give you the easy answer of 45, but let's use prime factorization.

What number looks like it divides into 2025 easily?

Your first answer was probably 5.

2025 divided by 5 is 405.

What number looks like it divides into 405 easily?

It was probably 5 again.

405 divided by 5 is 81.

Now hopefully you know that the square root of 81 is 9.

We can bring these all out of the radical.

[tex]\sqrt{2025}[/tex]

[tex](9*5)\sqrt{1}[/tex]

We know that [tex]\sqrt{1}=1[/tex], so we can simplify this whole expression down to the outside terms, which multiply to 45.

Answer:

45

Step-by-step explanation:

Working shown in the picture:)

Answer:

A) 2210.56 cubic units

answer: 0.3

good luck!

Answer:

0.3 or 3/10

Step-by-step explanation:

Answer:

First angle = 117 degrees.

Second angle = 63 degrees.

Step-by-step explanation:

If two angles are a linear pair, then their measures must add up to 180°. A straight line has a measure of 180°.

If we let one angle = x, then the other angle is (2/3)x - 15

Now we can form the following equation:

x + (2/3)x - 15 = 180

(5/3)x = 195

5x = 585

x = 117

Therefore, one angle is 117 degrees, and the other angle is (2/3 * 117) - 15 = 78 - 15 = 63 degrees.

Answer:

Addition expression: 58+(-27)

Subtraction expression: 58-27

Answer:

we know that, 1miles/hour = 0.45m/s

or, 1meters/second = 1/0.45

1m/s = 2.22222222222

Step-by-step explanation:

Then,

72.0 meters/second = 72.0*2.22222222222

                                  =160 miles per hour.

Answer:

56

Step-by-step explanation:

Answer:

The temperature change was -2 degrees per hour.

Step-by-step explanation:

1st hour (8pm) it dropped down to 4 degrees.

2nd hour (9pm) it dropped down to 2 degrees.

3rd hour (10pm) it dropped down to 0 degrees.

4th hour (11pm) it dropped down to -2 degrees.

5th hour (12am/midnight) it dropped down to -4 degrees

Answer:

x=−4

Step-by-step explanation:

i hope this help you

Answer:

-4742

Step-by-step explanation:

-17 + -68+(+56) -5333+620

-5418+58+620

-5418+676

-4742

:) Hope this helped

Answer:

-4742

steps :

-17 - 68 = -85

-85 + 56 = 29

29-5333= -5304

-5304+620 = -4742

Answer

seventytwo

Step-by-step explanation:

there 60 minute in hour+12+4 becayse 12 lans and 4 hors (correct me ig  im wrong)

Answer:

A. (9,-5)

Step-by-step explanation:

Translation down is -2 to the y coordinate, which is (5,-5). Then you translate it right 4 units, which is +4 to the x coordinate, so the final coordinate is (9,-5).

Answer:

the answers 200

Step-by-step explanation:

Answer:

200$

Step-by-step explanation:

for 1 year it will charge 100$ and if you rent 20 toys in that year the toys will cost 100$ as well so if you add 100+100 you get 200 so the answer is 200$

Step-by-step explanation:

Hey there!!

Let me simply clear you.

Given,

AB: 2y+2x =8.

Let's take the equation in slope intercept form.

2y = -2x +8

[tex]y = \frac{ - 2x}{2} + \frac{8}{2} [/tex]

[tex]y = - 1x + 4[/tex]

Comparing the equation with y= mx+c, we get;

Therefore, slope of AB is -1.

Now,

Again, the another equation is,

y + x = 2

y = -x+2

Comparing, the equation with y = mx + c.

Therefore, slope of CD = -1

For parallel lines, m1=m2.

slope of AB (m1) = -1

slope of CD(m2)= -1

As m1= m2 {True}.

Therefore, They are parallel to eachother.

Hope it helps...

Answer:

$40.59

$40.59

Step-by-step explanation:

Given the data below :

$19.99, $8.99, $35.99, $49.99, $49.99, $39.99, $99.99, $79.99, $35.99, $19.99, $49.99, $29.99, $49.99, $59.99, $35.99, $49.99, $19.99, $8.99, $29.99, $35.99

The mean of the sample data :

Σ(X) / n =

Σ(X) = $811.8

n = 20

Σ(X) / n = $811.8 / 20

Mean = $40.59

Frequency distribution:

Interval_____f_______fx

8.99_______2______ 17.98

19.99______3_______59.97

29.99______2______59.98

35.99______4______143.96

39.99______1______39.99

49.99______5_____249.95

59.99______1______59.99

79.99______1______79.99

99.99______1______99. 99

Total______20______811.8

Mean = Σfx / Σf

Mean = 811.8 / 20

Mean = 40.59

First, we'll solve A.

2 x2 = 4

3 x2 = 9

3x2=6, not 9.

So it is not A.

5 x2 = 10

7 x2 = 11

7x2=14, not 11.

So B. is out too.

It isn't D. because 12/9 is improper and 3/4 isn't.

So C. is left.

4 x2 = 8

6 x2 = 12

hope it helps!

===============================================

Explanation:

Let's go through the answer choices

-----------

Choice A.

Assume that the given equation here is correct. If so, then we can cross multiply to get

2/3 = 4/9

2*9 = 3*4

18 = 12

The last equation is false, so the first equation is also false. Choice A is not the answer.

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

Choice B.

We could do the similar trick as with choice A, but I'll use another method.

Use your calculator to find that

5/7 = 0.714 approx

10/11 = 0.909 approx

We get different decimal values for each fraction, so there's no way the two sides are the same. Choice B is crossed off the list.

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

Choice C.

I'll use another method here. Note how the denominators are 6 and 12, and how 6*2 = 12. If we multiply top and bottom of 4/6 by 2, then

(4/6)*(2/2) = (4*2)/(6*2) = 8/12

meaning that 4/6 = 8/12 is a true equation. We can see it through cross multiplication

4/6 = 8/12

4*12 = 6*8

48 = 48

or we could use our calculator to find that

4/6 = 0.667 approx

8/12 = 0.667 approx

Another calculator trick you can use is type in "4/6 - 8/12" without quotes and you should get 0 (or very close to it) as a result. This is using the idea that if x = y, then x-y = 0.

Choice C is the answer

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

Choice D.

Since we found the answer, we technically don't need to check choice D. But let's do so anyway.

Right off the bat, we know that 3/4 is less than one, while 12/9 is greater than one. So there's no way 3/4 = 12/9 could be true.

Answer:

a = 6 or a = -58/8

Step-by-step explanation:

I think you meant to ask us to solve for a.

There are two cases to solve for:

5 + 8a = 53 or -(5 + 8a) = 53

8a = 48 or 5 + 8a = -53

a = 6 or 8a = -58

a = 6 or a = -58/8