Katie buys a large pizza for $14.99 and bottles of soda for $1.50 each. If the total cost was $23.99, how many bottles of soda (b) did she buy

Answers

Answer 1

The number of soda bottles Katie bought is 6

The given parameters are:

Large Pizza = $14.99Soda = $1.50 per bottleTotal cost = $23.99

Assume the number of soda bottle is x.

So, we have:

[tex]Total = Pizza + Soda \times x[/tex]

This gives

[tex]23.99 = 14.99 + 1.50\times x[/tex]

Subtract 14.99 from both sides of the equations

[tex]9 = 1.50\times x[/tex]

Divide both sides of the equations by 1.5

[tex]6=x[/tex]

Rewrite the equation as

[tex]x = 6[/tex]

Hence, the number of bottles is 6

Read more about linear equations at:

https://brainly.com/question/14323743


Related Questions

8) The height of a stack of CD cases is Proportional to the number of CD’s in the stack. A stack of 6 CD’s is 66mm high.* Find the unit rate**

a) How high is a stack of 10 CD’s?


b) Write an equation that relates the height (y) of a stack of CD’s and the number of CD cases(x) in the stack.

Answers

Step-by-step explanation:

well, when 6 CD cases are 66 mm high, then 1 CD case is 66/6 = 11 mm high.

a)

therefore, 10 CD cases are 11×10 = 110 mm high.

b)

y = 11x

From his eye, which stands 1.61 meters above the ground, Jacob measures the angle
of elevation to the top of a prominent skyscraper to be 25°. If he is standing at a
horizontal distance of 281 meters from the base of the skyscraper, what is the height
of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.

Answers

Step-by-step explanation:

we have a right-angled triangle, that is "hovering" 1.61 m above the ground.

the Hypotenuse (the side opposite of the 90 degree angle) is the line of sight from the eye to the top of the skyscraper.

one leg is the height of the skyscraper (minus the 1.61 m).

the other leg is the ground distance from Jacob to the skyscraper (281 m).

we know already 2 angles : the 90° angle between the ground distance and the skyscraper height. and the 25° between the ground distance and the line of sight.

and as we know that the sum of all angles in a triangle is always 180°, we know that the third angle (between the line of sight and the skyscraper height) is

180 - 90 - 25 = 65°

now we can use the law of sines

a/sin(A) = b/sin(B) = c/sin(C)

(the ratio between a side and its opposing angle)

to get all missing side lengths.

the 25° angle is opposite of the skyscraper height, and the 65° angle is opposite of the ground distance (the only side length we know so far).

so,

height/sin(25) = 281/sin(65)

height = 281 × sin(25)/sin(65) = 131.0324519... m

to get the full height of the skyscraper, we need to add the 1.61 m that the described triangle was "hovering" above ground.

therefore, the height of the skyscraper is

131.0324519... + 1.61 = 132.6424519... ≈ 132.6 m

9 13 / 16 + 10 3 / 8 =

Answers

It equals 20 3/16, or 20.1875

19. The passing marks in an examination is 40%. If Seema gets 130 marks, she fails by ups 2 marks. Find the total marks.​

Answers

Given :-

Passing marks in an exam is 40% .Seema gets 130 marks and fails by 2 marks.

To find :-

The maximum marks for the exam .

Solution :-

According to the Question ,

[tex]\dashrightarrow[/tex] Passing marks = 40% .

[tex]\dashrightarrow[/tex] Seema's marks = 130 .

Let us take the maximum marks be x . Then ,

[tex]\dashrightarrow[/tex] Passing marks = 130 + 2

[tex]\dashrightarrow[/tex] Passing marks = 132

And , by question ,

[tex]\dashrightarrow[/tex] 40x/100 = 132

[tex]\dashrightarrow[/tex] x = 132 * 100/40

[tex]\dashrightarrow[/tex] x = 330

Hence the maximum marks for the exam is 330.

Given :

Passing marks in the examination = 40% .

Marks obtained by Seema = 130 .

So, Let us assume the maximum marks as x .

Also,

Passing marks = 132 [ ∵ Seema got 130 marks and she failed by 2 marks ]

According to the question :

[tex] \\ \tt : \implies\dfrac{40x}{100} = 132 \\ \\ \tt : \implies\dfrac{4 \cancel{0}x}{10 \cancel{0}} = 132 \\ \\ \: \: \: \tt \: : \implies 4x = 132 \times 10 \\ \\ \tt : \implies \: 4x = 1320 \\ \\ \tt : \implies \: x = \frac{1320}{4} \\ \\ \tt : \implies \: x = 330 \: \: \\ [/tex]

Hence, The total marks is 330 .

how to find the nth term

Answers

Answer:

Write full question

I cannot understand

Step-by-step explanation:

The nth term of an arithmetic sequence is given by an = a + (n – 1)d. So, to find the nth term, substitute the given values a = 2 and d = 3 into the formula.

Identify the terms and like terms in the expression.3n+7−n−3

Answers

Answer:

n

Step-by-step explanation:

In algebra, like terms are terms that have the same variables and powers.

what is the equation of the line that passes through the point (-6,6) and has a slope of -5/3?

Answers

Answer: The equation of the line that passes through the point (-6,6) and has a slope of -5/3 is y = -5/3x + -3.96.

Explanation:

y = 6, x = -6

By putting above values in equation (i)

6 = approximately -1.66 (-6) + b

6 = approximately 9.96 + b

approximately -3.96 = b

b = approximately -3.96

y = -5/3x + -3.96

Which of the following is an equation of a line perpendicular to the equation
y - 3x +1?
O A = - 3x + 5
B. y --3x+5
O C. y -3x5
O D. y = x+5

Answers

Answer:

There is something wrong in the answer options.  Please check the equations and formatting.  

Step-by-step explanation:

Assuming the referenced equation is y = 3x + 1 (and not y - 3x + 1), we can say the following.

This is written in the form of y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).

The slope, as I've written it, is 3.  Parallel lines will have the same slope (but a different b).  Perpendicular lines will have a slope that is the negative inverse of the slope of the reference line.  In this case, it would have a slope of -(1/3).

None of the answer options come close to this.  So something is wrong in the question, unless "NONE" is an option.

Name all points collinear with point E.

Answers

Answer:

n,c,b

Step-by-step explanation:

Which of the following statements is the only
sentence that is error-free?

Answers

I don’t really know what the answer is

You are going to a private apple orchard to pick apples. There is a one-time entry fee that everyone pays, and you also pay a certain amount per pound of apples you pick. It costs $46 to buy 5 pounds of apples, and it costs $58 to buy 7 pounds of apples.

Answers

The one-time entry fee is $6 and the price per pound is $4.

In order to determine the one time entry fee and the cost to pick an apple per pound, two equations would be formed from the question:

x + 5y = 46 equation 1

x + 7y = 58 equation 2

Where:

x = one-time entry fee

y = price per pound

In order to determine the value of y, subtract equation 1 from 2

2y = 12

y = 12 / 2  = 6

In order to determine the value of x, substitute for y in equation 1:

x + 5(6) = 46

x + 30 = 46

x = 40 - 36

x = 4

For more information, please check: https://brainly.com/question/25802822

worth 10 points thankyou

Answers

Answer:

DCBA

Step-by-step explanation:

Marissa bought 3 chocolate bars each week. How many chocolate bars will Marissa buy after 3 weeks?

Answers

all you have to do is multiply 3 by 3, and your answer would be 9.
Hello! If Marissa buys 3 chocolate bars each week, than over three weeks she would have 9 chocolate bars.

3 is the chocolate bars each week.
Three weeks.
3x3=9
9 chocolate bars after three weeks.

Please please help!!

Answers

Step-by-step explanation:

get add and add on ok

Make y the subject of the formula
5y - 4h = 18

Answers

Answer:

[tex]\displaystyle \large{y=\frac{18+4h}{5} }\\[/tex]

Alternatively, you can use [tex]\displaystyle \large{y=\frac{18}{5}+\frac{4h}{5} }\\[/tex] as an answer.

Step-by-step explanation:

To make y as the subject of equation, we have to find a way to isolate y-variable.

First, add 4h both sides of equation which we obtain:

[tex]\displaystyle \large{5y-4h+4h=18+4h} \\\displaystyle \large{5y=18+4h}[/tex]

Next, we divide both sides by 5 so we can finally have y-isolated equation and thus it becomes the new subject of equation.

[tex]\displaystyle \large{\frac{5y}{5} =\frac{18+4h}{5} }\\\displaystyle \large{y=\frac{18+4h}{5} }[/tex]

Thus the answer is y = (18+4h)/5

Alternatively for solution, you can separate the fraction which we obtain a valid alternative solution.

[tex]\displaystyle \large{y =\frac{18}{5} +\frac{4h}{5} }\\[/tex]

Either one of these solutions work.

_______________

Let me know in the comment if you have any questions.

Maggie's brother is 5 years younger than three times her
age. The sum of their ages IS 43.
How old is Maggie?

Answers

Answer:

Step-by-step explanation:

Let Maggie's age = x

The brother's age = 3x - 5

x + 3x - 5 = 43

4x - 5 = 43              Add 5 to both sides

4x - 5 + 5 = 43+5

4x = 48                  Divide by 4

4x/4 = 48/4

x = 12

Maggie = 12

Brother = 3*12 - 5

Brother = 36 - 5

Brother = 31

What are coordinate of (2,-3) when it is reflected over X axis.

Answers

Answer:

the asnwer is (2,3)

Step-by-step explanation:

Can someone please help me with this question.

How can you tell whether two sets of data, ordered pairs, vary directly?

Answers

Answer:

graph them

Step-by-step explanation:

you can tell if you graph them

Perform the operation. (-4x^2-2x-6)-(-7x^2-2x-2)

Answers

Answer:

3x²-4

Step-by-step explanation:

1 distribute

(-4x²-2x-6)+7x²+2x+2

2 eliminate redudant parentheses

-4x² -2x - 6+7x² +2x+2

3 Add the numbers

-4x²-2x-4+7x²+2x

4 Combine like terms

3x²-2x-4+2x

5 Combine like terms

3x²-4

Answer:

[tex]3x^{2} -4[/tex]

Step-by-step explanation:

Before solving this you have to know that,

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( + )

( - ) × ( + ) = ( - )

Let us solve now.

[tex](-4x^2-2x-6)-(-7x^2-2x-2)[/tex]

[tex](-4x^2-2x-6)+7x^{2} +2x+2[/tex]

[tex]-4x^2-2x-6+7x^{2} +2x+2[/tex]

Now combine like terms

[tex]-4x^{2}+7x^{2} -2x+2x-6+2[/tex]

[tex]3x^{2} -4[/tex]

Hope this helps you .

Let me know if you have any other questions :-)

Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points) y = (2/x^2) + (9)

Answers

Answer:

f(x) = x+9

g(x) = 2/x^2

Step-by-step explanation:

I just thought at a simple function for f(x). It could have been just f(x) = x and g(x) = 2/x^2 + 9. Nothing would have changed.

3-6
5. United States senators serve
year
teims. A senator serving 4 terms
would serve for how many total
years?

Answers

Answer:

16

Step-by-step explanation:

1 term is 4 years; and 4 terms times 4 years is 16 years

The table shows the ratio between the number of books ordered and their cost: Number of Books Cost (dollars) 7 14 8 16 9 18 Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)

Answers

14/7 = 2

16/8 = 2

18/9 = 2

This shows the cost of one book is $2

Multiply the number of books bought by 2 to get the cost:

1 x 2 = 2

2 x 2 = 4

3 x 2 = 6

Answer: (1,2) (2,4) (3,6)

Starting from the origin (0,0) for every 1 book bought ( x axis) move 2 more up than the previous total (y axis)

Using the 3 ordered pairs in the answer at x value 1 place a dot at y 2, then a dot at x2,y4 and again at x3,y6

Answer:

I'm doing the same test right now the ratios are 1 to 2 but the answers would be 1 to 2, 2 to 4, and 3 to 6 . you have to double the numbers that are shown

Step-by-step explanation:

I didn't copy the guy above it's litterallty simple multiplication hope my answer helped

Solve: x ÷ 0.6 = 8.9



5.34



9.5



8.3



0.07

Answers

Answer:

5.34

Step-by-step explanation:

x = 8.9 X 0.6

x = 5.34

Your welcome :)

Y+1=1/5(x-10)
Solve for y

Answers

Answer:

y = (x-10 / 5) - 1

Step-by-step explanation:

Hope this helps :)

Answer:

y=1/5x-3

Step-by-step explanation:

y+1=1/5(x-10)

y=-1 +1/5(x-10)

y= -1 +1/5x-2

y=1/5x-3

To qualify for a scholarship, a student must score at least 90% on a written test. The test is 64 questions. Using this metric, what is the greatest number a student can miss and still qualify for the scholarship?

Answers

Answer:

6 questions

Step-by-step explanation:

First, you divide the total score of 100 by the 64 questions to get 1.5625 points per question. Next, you divide the lowest score to qualify of 90 by the 1.5625 to get 57.6 questions correct to qualify. Then, you round 57.6 questions correct up to 58 questions correct because a fraction of a question correct doesn't make sense. Finally, you subtract the total number of questions (64) by the required correct answers (58) to get 6 questions you can miss to still qualify for the scholarship.

Iqbal and Sachin have bookshelves of the same size and holding books of the same sizes. Iqbal's shelf is 7/8 full and Sachin's shelf is 12/15 full. If 351 more books of the same size are distributed among them, then they can fill their shelves completely. How many books does Sachin have now?
a)
864

b)
865

c)
800

d)
850

Answers

Answer:

540 books

Step-by-step explanation:

It is given that Iqbal's shelf is 7/8 full ..

→ That Means we can say that, iqbal's shelf is (1 - 7/8) = 1/8 is Empty .....

Similarly,

Sachin's shelf is 12/15 full.

→ That Means we can say that, sachin's shelf is (1 - 12/15) = 3/15 is Empty.....

→ Both total Empty = (1/8 + 3/15)

Taking LCM of denominator ,

→ (15+24 /120)

→ 39/120

→ 13/40 part is Empty in both .

Now, it has been said that, when 351 more books are distributed among them , both shelves filled completely .

So, we can say that :----

→ 13/40 part ---------------- 351

→ 1 part ---------------------- 351*40/13 = 1080 = Total Books in Both Selves .

__________________

Now, since bookshelves of the same size and holding books of the same sizes ,,

→ Both have Books in Each = 1080/2 = 540 books .

4200 in the scientific notation.​

Answers

Answer:

4.2*10^3

Hope This Helps!!!

Answer:

The answer is 4.2×10^3

Step-by-step explanation:

To convert 4200 into scientific notation, follow these steps:

- Move the decimal 3 times to left in the number so that the resulting number, m = 4.2, is greater than or equal to 1 but less than 10

- Since we moved the decimal to the left the exponent n is positive

n = 3

- Write in the scientific notation form, m × 10^n

= 4.2 × 10^3

Therefore, the decimal number 4200 written in scientific notation is 4.2 × 10^3 and it has 2 significant figures.

Consider the numbers 54.162 and 5,416.2. Which statements accurately reflect the relationship between the "6" in each number?
Select two (2) that apply.
The 6 in 54.162 has a greater value than the 6 in 5,416.2
The 6 in 54.162 has a smaller value than the 6 in 5,416.2.
a
The value of the 6 in 5,416.2 is 10 times greater than the value of the 6 in 54.162.
The value of the 6 in 54.162 is 10 times greater than the value of the 6 in 5, 416.2.
The value of the 6 in 5,416.2 is 100 times greater than the value of the 6 in 54.162.
The value of the 6 in 54.162 is 100 times greater than the value of the 6 in 5,416.2.

Answers

Answer:

1) The value of the 6 in 5,416.2 is 100 times greater than the value of the 6 in 54.162.

2) The 6 in 54.162 has a smaller value than the 6 in 5,416.2.

Step-by-step explanation:

1) 0.06 times 100 equals 6

2) 0.06 < 6

please try looking at the picture :(( i’m really struggling so much!!

Answers

Answer:

4- true

5-true

6-false

7-false

8-true

9-true

Step-by-step explanation:

Follow the letters and the sign of congruence

HELP PLZZZZZZZ with #1

Answers

Answer:

Option A, 300 - 20w

Step-by-step explanation:

In a week, she withdraws $20

in w weeks, she will withdraw ; w × 20

= 20w

Balance = Initial amount - Amount withdrawn

= 300 - 20w

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