If during her first three months at

college a student's long distance

phone bills are $119. 68, $84. 36,

and $68. 49, and her local phone

bill is $21. 00 per month, what is her

total average monthly phone bill?

Please help

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎Area of triangle = 60 cm²

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎Sum of sides = 23 cm

___________________________________________

___________________________________________

\(\boxed{\bf\pink{area = \frac{1}{2} (one \: leg \: \times \: another \: leg)}}\)

___________________________________________

\(\large\bf\underline{Therefore,}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹60 = \frac{1}{2} ( x \times (23 - x)\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹60 \times 2 = 23x - {x}^{2} \)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹120 = 23x - {x}^{2} \)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹ {x}^{2} + 23x + 120 = 0\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹(x + 15)(x - 8)\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹x = 15 \: and \: x = 8\)

\(\huge\bf\underline{So,}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎\(\large\green{Length\: of \:one \:leg = 15 cm }\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ \(\large\green{Length\: of \:other = 8 cm}\)

Answer:

n

Step-by-step explanation:

nnn

Answer:

\(h = \frac{2a}{b1 + b2} \)

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

N 7

Part A

In a direct variation

k=y/x

take one point from the graph

(2,4)

k=4/2

Part B

In a direct variation, the equation is

y=kx

we have

k=2

therefore

Answer:

Step-by-step explanation:

A variable is an undetermined number represented by a letter.

K is a variable.

The addition of more than is not a subtraction.

I hope this helps. Let me know if you have any questions.

True, a researcher wants to compare performance scores for men versus women on a motor skills task. it would not be possible to use a repeated measures design for this study.

What is a performance comparison?

They are frequently used while benchmarking, which is the practice of evaluating an organization's performance versus that of the best-performing businesses.

                 The measures are employed in productivity improvement projects to monitor changes in productivity over time.

Why is performance measurement important?

Comparing is one of the most important growth drivers. Only when we contrast our development with that of our rivals or our current performance with our former performance do we get motivated to advance and accomplish greater feats.

Learn more about  performance comparison

brainly.com/question/4392410

#SPJ4

Answer:

Option D

Step-by-step explanation:

I am taking a guess here, but since the volume of the rectangle part is 594, and it is sort of a similar size as the top part, then I assume it is D.

Let me know how it goes.

Step-by-step explanation:

Examples of like terms in math are x, 4x, -2x, and 7x. These are like terms because they all contain the same variable, x. The terms 8y2, y2, and -2y2 are like terms as well. These all contain the same variable, y, raised to the second power.

Answer:

400 birds im not sure though but you can try srry if im wrong

Step-by-step explanation:

400 comes after 300

Answer:

-1/4

Step-by-step explanation:

Answer:

c. 1/4

Step-by-step explanation:

The points (2, 0) and (6, 1) are on grid line intersections and easy to read.

To go from (2, 0) to (6, 1) vertically and then horizontally, go up 1 units. That is a rise of 1. Then go right 4 units. That is a run of 4 units.

slope = rise/run = 1/4

Answer: c. 1/4

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

To learn more about cash : brainly.com/question/31754110

#SPJ11

The given statement in the problem (f/g)(-2) = -6/5 is true.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

We are given that;

f(x) = 3x²

g(x) x - 8 ; (f/g)(-2) = -6/5

Now,

To evaluate (f/g)(-2), we need to divide f(-2) by g(-2).

We have f(x) = 3x², so f(-2) = 3(-2)² = 12.

We also have g(x) = x - 8, so g(-2) = (-2) - 8 = -10.

(f/g)(-2) = f(-2) / g(-2) = 12 / (-10) = -6/5.

So the statement (f/g)(-2) = -6/5

Therefore, the answer according to the given equation will be true.

Learn more about linear equations;

https://brainly.com/question/10413253

#SPJ1

6.022× \(10^2^3.\)particles are in one mole.

The correct option is 6.022× \(10^2^3.\)

Now, According to the question:

Avogadro's number

Avogadro's number, number of units in one mole of any substance (defined as its molecular weight in grams), equal to 6.02214076 × \(10^2^3.\) The units may be electrons, atoms, ions, or molecules, depending on the nature of the substance and the character of the reaction.

Now, According to Avogadro's law, one mole of any substance contains a fixed number of particles i.e.,6.022× \(10^2^3.\)particles (atoms, molecules or ions) which is also known by the name Avogadro's number.

Learn more about Mole at:

https://brainly.com/question/26416088

#SPJ4

The percentage of water in the milk cup and the percentage of milk in the water cup are same.

What is milk?

A white liquid meal called milk is generated by mammals' mammary glands. Before they can digest solid food, it is the main source of nutrition for young mammals. Milk immunity is influenced by immune components and immune-modulating elements.

Given:

There are a cup of milk and a cup of water.

Take one teaspoon of milk, put into the water cup; mix well.

Take one teaspoon of the mixture in the water cup and put into the milk cup then mix well.

Suppose the percentage of water cup are 'p' and the percentage of milk cup are 'q'.

When we add one teaspoon of milk and put into water cup then the percentage of water cup are 'p + 1'.

And the percentage of milk cup are 'q - 1'.

Again one teaspoon of mixture in the water cup put into the milk cup.

So, the percentage of milk cup are, q - 1 + 1 = q.

And the percentage of water cup are p + 1 - 1 = p.

The percentage will be same for both milk cup and water cup.

Hence, the percentage of water in the milk cup and the percentage of milk in the water cup are same.

To know more about milk, click on the link

https://brainly.com/question/210119

#SPJ4

Answer: Varies

Step-by-step explanation:

x + 4 = 8 x = 4

4 + 4 = 8

8 = 8

The answer varies.

In case of :

x > 3

x = 4 because x is greater than 3.

Oʀ

x < 5

x = 4 because x is less than 5.

_______________________

The inequality : 20x < 100

→ x < 100/20

→ x < 5

→ x = 4 as x is less than 5.

_______________________

Problem 1

U = {2,3,8} is the entire universe. It's all of the numbers that exist in this framework. We ignore anything else.

A = {2,3,8} simply copies the universe and lists all the values we care about.

The complement of set A is any number not in set A. But because set A lists everything we care about, there's nothing left.

Therefore, the complementary set is empty.

We can write the empty set as { } which is a pair of curly braces with nothing between them. Not even 0 is part of this set.

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

Problem 2

U = {whole numbers} = {0,1,2,3,4,...}

This time the universal set is a bit more interesting, or at the very least, it's much bigger.

Set A is the set of odd whole numbers, so A = {1,3,5,7,9,...}. Notice how anything inside set A is also in set U. We can say set A is a subset of set U.

The complement of set A would be the set of even whole numbers {0,2,4,6,...}. This is the list of stuff not found in set A, but it's in the universal set.

Combing the evens and odds together will help form the set of all whole numbers.

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

Problem 3

set of whole numbers = {0,1,2,3,4,...}

Because h is a whole number, this means h must be selected from that set of values above and nowhere else.

We're then told that h < -2, but there is no such whole number that fits the description. Something like 4 < -2 is false. If we wanted negative values like this, then we'd have to expand to the set of integers.

Therefore, the set being described has nothing in it.

Answer:

0.112 (: hope this helped

Step-by-step explanation:

#A

Produced energy

\(\\ \rm\Rrightarrow 3.9(10^33)(2.45)(10^5)=9.56(10^38) ergs\)

#B

7.4×10^4mm

shorter is more preferable

Answer: the answer is 48

Step-by-step explanation:

I dont know who removed my answer but the next time you do it we're gonna have a problem best believe ⇄

Answer:

x=17

Step-by-step explanation:

Ok, so let's start with what we're given.  We know that BF=2x+8, and this is a line segment that goes through A F and AB.  We also know that BE is 42, but also goes through line segments AE and AB.  As you can see, both segments BF and BE go through the line segment AB, which is an angle bisector.

An angle bisector is a line segment that cuts the angle perfectly in half.  For an example, let's say that angle FAE is 50°.  This means that angle 1 and 2 are both 25°.  

But now that we know an angle bisector cuts the angle perfectly in half, we now know that BF and BE have to be congruent (equal) to each other.  This means we can set up an equation:

2x+8=42

subtract 8 from both sides

2x=34

divide both sides by 2

x=17.

So, x=17.

I hope this helps you better understand! :)

Answer:

the midpoint of the line segment is (-1.5,4)

The proof by mathematical induction that all horses are the same color is flawed because the basis step does not make any sense. Because the basis step is invalid, the proof is incorrect overall.

Specifically, for the basis step, we cannot start with a set of 1 horse, as there is no other horse to compare it to. Hence, we cannot make any definitive claims about a single horse, and the basis step cannot be completed. The inductive step, on the other hand, is correct, assuming that the basis step was valid. By assuming that all horses in a set of n horses are the same color, we can show that horses 1 through n + 1 must be the same color. This is because the sets of horses from 1 to n and from 2 to n + 1 overlap, and therefore, by the transitive property of equality, all horses in the set from 1 to n + 1 must be the same color. However, because the basis step is invalid, the proof is incorrect overall.

To know more about induction visit:

https://brainly.com/question/32376115

#SPJ11

L < 1, the series is convergent according to the ratio test. The ratio test to determine if the given series is convergent or divergent.

The series we're analyzing is Σ(n^4)/(n^n) from n=1 to infinity. To use the ratio test, we need to evaluate the limit L as n approaches infinity for the absolute value of (a_(n+1))/a_n: L = lim (n→∞) |(a_(n+1))/a_n| = lim (n→∞) |((n+1)^4)/(n+1)^(n+1)) * (n^n)/(n^4)|

Now, we can simplify the expression: L = lim (n→∞) |(n^n * (n+1)^4) / (n^4 * (n+1)^(n+1))|
Notice that we can cancel out some terms: L = lim (n→∞) |((n+1)^4) / (n+1)^(n+1) * (n^n)/(n^4)|
Now, let's divide (n+1)^4 by (n+1)^(n+1): L = lim (n→∞) |(1 / (n+1)^n) * (n^n)/(n^4)|
Now, let's evaluate the limit: L = |(1 / (∞)^n) * (∞^n)/(∞^4)| = 0

To know more about convergent:

https://brainly.com/question/32066684
#SPJ11

The type of transformation and scale factor as required are;

16) Rotation

17) Reflection

18) Dilation

19) n = 5

20)P = r = 4

There are different types of transformation as follows;

1) Translation: This type of translation is defined as moving the object in space by keeping its size, shape or orientation constant. In a translation, each point of the shape must be moved in the same direction and for the same distance

2) Dilation: This type of translation expands or contracts the object by keeping its orientation or shape the same. This is also known as resizing.

3) Rotation: This type of transformation has an object about a fixed point without changing its size or shape.

4) Reflection: This type of translation is called reflection because it flips the object across a line by keeping its shape or size constant.

16) This transformation is rotation based on the definitions above.

17) This type of transformation is a reflection as it is like the image was flipped across a line more like a mirror image.

18) This called dilation as the scale factor was adjusted to produce the new image.

19) Scale Factor = 6/3 = 2

Thus;

n = 10/2 = 5

20) Scale factor = 12/9 = 4/3

Thus;

P = r = 3 * 4/3

= 4

Read more about types of transformation at; https://brainly.com/question/4289712

#SPJ1

Answer:

16%

Step-by-step explanation:

Equation: \(\frac{new value-old value}{old value}\) * 100

\(\frac{3.70-3.20}{3.20}\)* 100= \(\frac{0.50}{3.20}\)* 100

0.15625 (round to .16)

16%

Answer:

-4

Step-by-step explanation: I think of this by turning it to a subtraction problem. 16-12=4. But you still do have to add the negitive symbol

Answer:

-4

Step-by-step explanation:

its easier to think of it as 16-12 then if the negative number is greater than the positive add a negativ esymbol.

Hoped i explained that good enough.

The length of the legs of the right triangle are 2.83 units.

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

learn more on right triangle here: https://brainly.com/question/29285631

#SPJ1

Answer:

\(4.5x+15\)

Step-by-step explanation:

Equilateral triangles have three equal sides.

\(1.5x+5+1.5x+5+1.5x+5\)

\(1.5x+1.5x+1.5x+5+5+5\)

\(=4.5x+15\)

Answer:

4.5x+15

Step-by-step explanation:

Hope this helps!

Answer:

20 shirts = $445.00

40 shirts = $541.00

60 shirts = $637.00

Step-by-step explanation:

multiply 20, 40 and 60 by 4.8 then add 349.

20*4.8 = 96

96+349 = 445

40*4.8 = 192

192+349 = 551

60*4.8 = 288

288+349 = 637