Exercise Sophia pays a $19.99 membership fee for an online music store. a. If she also buys two songs from a new album at a price of $0.99 each, what is the total cost? b. If Sophia purchases 푛 songs for $0.99 each, write an expression for the total cost. c. Sophia’s friend has saved $118 but is not sure how many songs she can afford if she buys the membership and some songs. Use the expression in part (b) to write an equation that can be used to determine how many songs Sophia’s friend can buy. d. Using the equation written in part (c), can Sophia’s friend buy 101, 100, or 99 songs? Relevant Vocabulary VARIABLE (DESCRIPTION): A variable is a symbol (such as a letter) that represents a number (i.e., it is a placeholder for a number). EQUATION: An equation is a statement of equality between two expressions. NUMBER SENTENCE: A number sentence is a statement of equality between two numerical expressions. SOLUTION: A solution to an equation with one variable is a number that, when substituted for the variable in both expressions, makes the equation a true number sentence.
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What's the answer for all of them??

Answer:

5/72

Step-by-step explanation:

I am pretty sure its right

The difference between the maximum value of g(x) and the minimum value of f(x) is 5.

Given function is:

[tex]f(x)=x^{2} -2x+8[/tex]......(1)

The general form of a quadratic equation is [tex]ax^{2} +bx+c=0[/tex] with [tex]a\neq 0[/tex].

As we know the minimum value of a quadratic function is [tex]\frac{4ac-b^{2} }{4a}[/tex] when a>0

For f(x) a>0 so minimum value of f(x) = [tex]\frac{4*1*8-(-2)^2}{4*1}[/tex]=7

From the graph, the maximum value of g(x) =12

So, the difference between the maximum value of g(x) and the minimum value of f(x) =12-7 =5

Hence, the difference between the maximum value of g(x) and the minimum value of f(x) is 5.

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Answer:

1.3

Step-by-step explanation:

To find what x equals, you need to first divide by 48 and 37.

This is because that x is being multiplied by 37.

48 ÷ 37 = 1.297.......

The 97 in 1.297 is repeating and goes on forever.

Rounding the the nearest tenth would create the number 1.3 as the correct answer.

Answer:

264

Step-by-step explanation:

(11 x 6)/2 x 8 = 264

B x h = V

Answer: 28 cm.

Step-by-step explanation: To find the area of trapezoids, you need to add base 1 and base 2, multiply the height, and divide it all by 2.  The work is done below:

b1 + b2 x h / 2, where b1 and b2 are the bases and h is the height.

5 + 9 x 4 / 2 = ?

Step 1 (Add): 5 + 9 = 14.

Step 2 (Multiply):  14 x 4 = 56.

Step 3 (Divide): 56 / 2 = 28.

Therefore, 28 cm is your answer.

Hope this helps! :)

Answer:

answer is 4

have a nice day

Answer:

4a²-8a+4

Step-by-step explanation:

[tex](2a-2)^{2} =(2a-2)(2a-2)[/tex]

[tex](2a-2)(2a-2) = 4a^{2} -4a-4a+4[/tex]

[tex]4a^{2} -4a-4a+4=4a^{2} -8a+4[/tex]

Answer:

A and B

Step-by-step explanation:

A. Since 2 angles are congruent you know that there has to be 2 equal sides

B. It has an obtuse angle which is 100 degrees.

C. Triangle has 2 congruent sides so this is incorrect

D. Not all sides are equal

E. Not all angles are acute

F. None of the angles are 90 degrees

[tex] \tan(60) = \frac{x}{ \sqrt{7} } [/tex]

[tex] \sqrt{3} = \frac{x}{ \sqrt{7} } [/tex]

[tex]x = \sqrt{21} [/tex]

[tex]\frak{\fcolorbox{black}{pink}{Black Pink in your area$~$}}[/tex] ~←(>▽<)ﾉ

Answer:

√21

Step-by-step explanation:

30, 60, 90 triangle

Across from 30 is a, across from 60 is a√3

So, √7√3 is √21

Answer:

Step-by-step explanation:

Answer: y=.256x

Step-by-step explanation:

This line has the smallest coefficient for x.

[tex]\qquad\qquad\huge \: \sf Answer[/tex]

Number of people who prefer crabs are :

[tex] \\qquad \tt \dashrightarrow \:{30\% \:\: of \:\: 140} [/tex]

[tex]\qquad \tt \dashrightarrow \: \dfrac{30}{100} \times 140 [/tex]

[tex]\qquad \tt \dashrightarrow \:3 \times 14[/tex]

[tex]\qquad \tt \dashrightarrow \:42 \: \: people[/tex]

Step-by-step explanation:

The number of seats in each row is 8 and the total number of seats is between 70 and 150.

Let x be the number of rows, then we have the inequality:

Divide all sides by 8 to get:

So the number of rows is between 9 and 19 both inclusive.

All possible number of rows

Answer:

1.  9 rows

2.  see below

3.  9, 10, 11, 12, 13, 14, 15, 16, 17, 18

Step-by-step explanation:

Please note that I believe there are typing errors in the question and that the given information should be:

Question 1

To determine the least possible number of rows in the auditorium, divide the least number of seats by the number of seats in a row:

⇒ 70 ÷ 8 = 8.75

As the answer is a decimal, round it up to the nearest whole number.

Therefore, the least possible number of rows in the auditorium is 9 rows.

Question 2

Find the greatest number of rows by dividing the greatest number of seats by the number of seats in a row:

⇒ 150 ÷ 8 = 18.75

As there should be fewer than 150 seats we cannot round the number up (as this would make there be more than 150 seats), so instead must round it down to 18.

Therefore, the greatest number of rows in the auditorium is 18 rows.

Question 3

As we have found the least number of rows in question 1 and the greatest number of rows in question 2, all we need to do is list all the numbers between (and including) these numbers.

Therefore, all the possible numbers of rows in the auditorium are:

9, 10, 11, 12, 13, 14, 15, 16, 17, 18

Answer:

from my side it's blurry

Step-by-step explanation:

area of circle - pie x r x r

22/7 x 7/2 x 7/2 ( 7 as diameter because it's straight line passing through centre)

77/2 is the sq inches

Answer:

I just answered these with your most recent post.

The amount of money that should be invested at 7% compounded daily is $199,421.68.

Mathematically, compound interest is given by this formula:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Where:

Given the following data:

Future value = $200,000.

Interest rate = 7% = 0.07.

Time = 15 year.

Substituting the given parameters into the formula, we have;

[tex]200000=P(1+\frac{0.07}{365} )^{ 15}\\\\200000=P(1+0.00019)^{15}\\\\200000=P(1.00019)^{15}\\\\200000=1.0029P\\\\P=\frac{200000}{1.0029}[/tex]

P = $199,421.68.

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Answer:

I think it is B (16)

Step-by-step explanation:

Answers:

lower bound = 39001

upper bound = 40999

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

Explanation:

You'll have to think backwards to find what values round to 690,000 when rounding to the nearest thousand.

It turns out that if x is on the interval [tex]689,500 \le x \le 690,499[/tex], then x will round to 690,000 when rounding to the nearest thousand. The x refers to the population of Sheffield, so it's some integer in that range.

Through similar logic, if y is on the interval [tex]729,500\le y \le 730,499[/tex] then it will round to 730,000 when rounding to the nearest thousand. This represents the population of Nottingham.

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

Now let's say we go for the smallest possible value of x (689500) and the largest possible value of y (730499). This guarantees the two populations are the most spread out or distant from one another. Subtract those two values:

730,499 - 689,500 = 40,999

This is the largest difference possible of the two populations. It represents the upper bound, i.e. it's the ceiling.

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

On the other hand, let's now say x is as big as possible (690499) and y will be as small as possible (729500). Subtract those values:

729,500 - 690,499 = 39,001

This is the lower bound. It's the smallest the difference can be. It's considered the floor.

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

Let d be the difference in the populations. In other words, d = y-x

We found that the lower bound was 39,001 and the upper bound was 40,999

Meaning that

[tex]39,001 \le y-x \le 40,999[/tex]

or

[tex]39,001 \le d \le 40,999[/tex]

Answer:  [tex]j \div 8[/tex]

We're dividing unknown number j over 8

We can write it as [tex]\frac{j}{8}[/tex] similar to how [tex]\frac{3}{4} = 3 \div 4[/tex]

The quotient is the result of a division problem (there may or may not be a remainder).

Answer:

Step-by-step explanation:

Given :-

To Find :-

Solution :-

We know that,

Substituting the values, we get:

↠ Perimeter = 2(9 + 7)

↠ Perimeter = 2(16)

↠ Perimeter = 32 feet

Now,

Substituting the values, we get:

↠ Area = 9 × 7

↠ Area = 56 ft²

Hence,

Answer:

x = 26

Step-by-step explanation:

Take the sides in proportion.

Answer:63.75

Step-by-step explanation: 1500x0.085x0.5=63.75

Answer:

8(a+4)=8a+32

Step-by-step explanation:

Answer:

The womans age is 25

mothers age is 50

Step-by-step explanation:

add those up and you get 75

Answer:

The woman is 25, and her mother is 50.

Step-by-step explanation:

The woman is half the mother's age.

That means the mother is twice the woman's age.

Let the woman's age be x

The mother's age is 2x.

The sum of the ages is 75.

x + 2x = 75

3x = 75

x = 25

2x = 2(25) = 50

Answer: The woman is 25, and her mother is 50.

Answer:

391.3

Step-by-step explanation:

13x43=559

559-167.70=391.3

Answer:

C. $250

Step-by-step explanation:

-To find the unit rate you need to divide the Amount Earned by Time worked

-When you do this you get 6.25

-Then you multiply 6.25 by 40

-That equals 250 and therefore the answer is C

The variation from x to y is an illustration of a direct variation

The value of x when y = 2 is -19/7

The variation is a direct variation.

So, we have:

x = ky

Where k represents the constant of variation

Make k the subject

k = x/y

This gives

x1/y1 = x2/y2

So, we have:

-19/14 = x/2

Multiply both sides by 2

x = -19/14 * 2

Evaluate

x = -19/7

Hence, the value of x when y = 2 is -19/7

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Answer:

<M = 50

Step-by-step explanation:

The sum of the angles of a triangle is 180. 52+ 78+x = 180. Combine like terms. 130 +x = 180.

The value of m for the given combination of two right-angle triangles will be 7√5.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

In the bigger right-angle triangle suppose the missing length is x.

By Pythagora's theorem,

(28 + 7)² = x² + m²

x² = 35² - m²                   (1)

In the smaller right-angle triangle,

x² = 28² + n²                   (2)

By comparing equations (1) and (2).

35² - m² = 28² + n²

m² + n² = 35² - 28²

In the smallest right-angle triangle,

m² = n² + 7²

n² = m² - 7²

By substitution,

m² + m² - 7² = 35² - 28²

2m² = 35² - 28² + 7²

m² = 245

m² = 7² x 5

m = 7√5.

Hence "The value of m for the given combination of two right-angle triangles will be 7√5".

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