At a concession stand, one person purchased 3 drinks and 3 soft pretzels for a total of $9.00. Another person purchased 4 drinks and 2 soft pretzels for a total of 8.50. What was the price of one soft pretzel

Answers

Answer 1
First we define the variables:
 x: price in $ for each drink
 y: price in $ for each soft pretzel.
 We write the system of equations:
 3x + 3y = 9
 4x + 2y = 8.50
 We solve the system:
 x = 1.25 $
 y = 1.75 $
 (See attached image)
 Answer: 
 The price of one soft pretzel is: 
 y = 1.75 $
At A Concession Stand, One Person Purchased 3 Drinks And 3 Soft Pretzels For A Total Of $9.00. Another

Related Questions

Which trinomial is the product of the expression below ? (2R-3) (R+12)

Answers

Answer:
2R^2 + 21R - 36

Explanation:
To answer this question, we will follow these steps:
1- expand the brackets
2- gather like terms

Steps are as follows:
(2R-3)(R+12) = 2R(R) + 2R(12) - 3(R) - 3(12)
                      = 2R^2 + 24R - 3R - 36
                      = 2R^2 + 21R - 36

Hope this helps :)

we have that

(2R-3) (R+12)---------- > 2R*R+12*2R-3*R-3*12---------- > 2R²+24R-3R-36

2R²+24R-3R-36---------------> 2R²+21R-36

the answer is 2R²+21R-36

The heights in centimeters of 5 students are: 165, 175, 176, 159, 172 find the sample median, sample mean and sample variance.

Answers

The median is: 176 cm

The mean is: 169.4 cm

The sample variance steps to solve are:

"Work out the Mean (the simple average of the numbers)Then for each number: subtract the Mean and square the result (the squared difference).Then work out the average of those squared differences."

The value of the sample median is 172.

The value of the sample mean is 169.4.

The value of the sample variance is 52.3

What is a median?

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

The heights in centimeters of 5 students are: 165, 175, 176, 159, 172

Now,

Arrange the heights in order.

159, 165, 172, 175, 176

Median = 172

Mean = (159 + 165 + 172 + 175 + 176) / 5 = 847 / 5 = 169.4

Sample variance.

= ∑ (x - Mean)² / (n - 1)

= 209.2 / 4

= 52.3

∑ (x - Mean)²

= (159 - 169.4)² + (165 - 169.4)² + (172 - 169.4)² + (175 - 169.4)² + (176 - 169.4)²

= 108.16 + 19.36 + 6.76 + 31.36 + 43.56

= 209.2

Thus,

The sample mean = 169.4

The sample median = 172

The sample variance = 52.3  

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Which of these is equivalent to 92 + 42? (9 + 4)2 (9 × 4)2 (9 × 9) + (4 × 4) (9 + 9) + (4 + 4)

Answers

9x9 + 4+4...............................................................
First, let's rewrite the expression correctly:
 9 ^ 2 + 4 ^ 2.
 We have then that the equivalent expression for this case is:
 (9 × 9) + (4 × 4)
 Both expressions give the same result 97
 Answer:
 (9 × 9) + (4 × 4)

Given the lengths of two sides of a triangle, find the range for the length of the third side (between what two numbers should the length of the third side be). Write the inequalities for each case. 8 and 13

Answers

The triangle inequality tells you the third side will be between the difference and sum of the other two sides.

5 < third side < 21

Final answer:

The length of the third side of a triangle with side lengths of 8 and 13 must be greater than 5 units and less than 21 units according to the triangle inequality theorem.

Explanation:

To find the range for the length of the third side of a triangle given two sides with lengths of 8 and 13, we can use the triangle inequality theorem.

This theorem states that the length of any side of a triangle must be less than the sum of the lengths of the other two sides and greater than the absolute value of their difference.

The inequalities for the third side, let's call it c, are:

c < 8 + 13c > |13 - 8|

Therefore, we can say:

c < 21c > 5

So the length of the third side must be greater than 5 units and less than 21 units.

If 9 is added to twice a number and this sum is multiplied by 6 the result is the same as if the number is multiplied by 7 and 14 is added to the product. What is the number?

Answers

For these type of questions, it requires you to understand and write a algebraic equation out of words given.

Therefore, let that number be y.

"if 9 is added to twice a number" = 2y + 9
"this sum is multiplied by six" = (2y + 9) x 6

"the number is multiplied by 7" = 7y
"14 is added to the product" = 7y + 14

Now combine the expressions and solve away!

(2y + 9) x 6 = 7y + 14

Expand.
12y + 54 = 7y + 14

Shift all the y to a side and all the pure numbers to another side.
12y - 7y = 14 - 54

Group them.
5y = - 40

Divide 5 on both sides.
y = - 8

Therefore, the number is - 8.

The pyramid shown has a square base that is 1212 centimeters on each side. The slant height is 1818 centimeters. What is the surface area of the pyramid?

Answers

Answer : Surface area of pyramid = 4406832 square cm.

Explanation :

Since we have given that

Side of square base = 1212 cm

Slant height of pyramid = 1818 cm

As we know that ,

[tex]\text{Surface area of pyramid }=\frac{1}{2}\times perimeter\times \text{ slant height}[/tex]

[tex]\text{ Since, perimeter of square }=4\times side\\=4\times 1212\\=4848 cm[/tex]

Now,

[tex]\text{ Surface area of pyramid }= \frac{1}{2}\times 4848\times 1818\\\\\text{ Surface area of pyramid }=4406832\text{ square cm}[/tex]

Hence, surface area of pyramid = 4406832 square cm.


Shirley is drawing triangles that have the same area. The base of each triangle varies inversely with the height. What are the possible base and height of a second triangle if the first triangle's base is 16 and its height is 6 ?

Answers

If Shirley wants integer lengths, any of the following could be used:
base 8, height 12
base 4, height 24
base 2, height 48
base 1, height 96
base 32, height 3
base 48, height 2
base 96, height 1

An urn initially contains 5 white balls and 7 black balls. each time a ball is selected, its color is noted and it is replaced in the urn along with 2 more balls of the same color. what is the probability that of the first 2 balls selected, one is white and one is black?

Answers

The Answer To Your Q Is 3 Young Sir

two angles are supplementary. One angle measures at 75° more than twice the measure if the other. What are the measurements of the two angles?

Answers

* the first angle is variable a and the second is variable b
a + b = 180 (because supplementary angles means their sum is 180)
a = b + 75
substitute the value of a (b+75) into the first equation to get: 
b + 75 + b = 180
simplify to get:
b = 52.5
use this value to substitute into any of the 2 equations to get the value of a:
52.5 + 75 = a
a = 127.5
So, the measurements of the two angles are 52.5° and 127.5°
supplementary means adds to 180 degrees

say they are x and y
x+y=180


and one meauses 75 more than twice the other
x=75+2y

solve
subsitute 75+2y for x in other equation

75+2y+y=180
75+3y=180
minus 75 from both sides
3y=105
divide both sides by 3
y=35

sub back
x=75+2y
x=75+2(35)
x=75+70
x=145

the angles are 145° and 35°

y - 5 = 0.5x2 + 6x - 3 How many x-intercepts does the graph of this quadratic have?

Answers

we have that
Y - 5 = 0.5x2 + 6x - 3--------------- > y=0.5x2 + 6x -3+5=0.5x2 + 6x+2
y=0.5x2 + 6x +2

using a graphic tool
see the attached figure

the graph have two x-intercepts----------> (-11.657,0) and (0.343,0)

Answer:

its (A)

Step-by-step explanation:

miss Roberts simplified this ratio 2:6 explain how you know she is incorrect can you tell where she might have made a mistake

Answers

she missed the last step of simplifying, she should have gone 1 step further by having it as 1:3
You Didn't simplify the 2 therefore the 2 stayed a 2 if you would have divided 2/2 you wouldn't have made that mistake.

Do you go to k12 btw ?

Which describes the difference between the graph of f(x) = 3x2 + 2 and g(x) = 9x2?

B) The graph of f(x) is obtained by shifting g(x) up 2 units and compressing vertically by a factor of 3.
C) The graph of g(x) is obtained by shifting f(x) right 2 units and stretching vertically by a factor of 3.
D) The graph of f(x) is obtained by shifting g(x) right 2 units and stretching vertically by a factor of 3.

Answers

First we must graph both of these equations. We can use a graphing calculator to enter each equation, and note the differences between both. After graphing both of these equations, we find that the answer is B, the graph of f(x) is obtained by shifting g(x) up 2 units and compressing vertically by a factor of 3. 

The solution is, the graph of f(x) is vertically stretched by a factor of 3 and shifted 7 units down, as f(x) = x changes to h(x) = 3x² - 7.

What is transformation of graph?

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

here, we have,

Given that,

here is a graph of f(x) = x which is transformed into h(x) = 3x² - 7.

The graph of a the equation -

f(x) = x

is a straight line.

now, we get, When it is squared and multiplied by 3, we get -

h(x) = 3x²

which is a parabola stretched by a factor of 3 in vertical direction along    

+ y axis.

When 7 is subtracted, it will shift the graph down by 7 units.

h(x) = 3x² - 7

Therefore, the graph of f(x) is vertically stretched by a factor of 3 and shifted 7 units down, as f(x) = x changes to h(x) = 3x² - 7.

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Complete question:

What is the effect on the graph of f(x) = x when it is transformed to

h(x) = 3x2 - 7?

A. The graph of f(x) is vertically stretched by a factor of 3 and shifted

7 units down.

B. The graph of f(x) is horizontally compressed by a factor of 3 and

shifted 7 units to the right.

C. The graph of f(x) is horizontally stretched by a factor of 3 and

shifted 7 units down.

D. The graph of f(x) is vertically stretched by a factor of 3 and shifted

7 units to the right

Simplify this equation.
(equation and choices in image)

Answers

b.)x³-7x²+3x+36

(x-4)(x²-3x-9)

Distribute x and -4 to x²-3x-9

=x²(x)-3x(x)-9(x)+x²(-4)-3x(-4)-9(-4)

=x³-3x²-9x-4x²+12x+36

Combine all liked terms

=x³-7x²+3x+36

In 2015, the price of a business math text rose to $150. This is 8% more than the 2014 price. What was the old selling price?

Answers

Set up an equation
150=1.08x
x=$138.88

Answer: old selling priceof businesss math text rose = $138.89

Explanation:

In year 2015, Price of business math text rose = $150

Suppose privious price (year 2014)= x dollars

Previous price is 8% less than the price in 2015 because given that $150 is 8% more than previous year price.

Now write the linear equation for the given information:

x + 8% of x = 150

Solve for x

x + [tex] \frac{8}{100} [/tex]x = 150

x + 0.08x = 150

1.08x = 150

divide 1.08 both the side

x = [tex] \frac{150}{1.08} [/tex]

x = $138.89

Old selling price = $138.89

Can anyone help me on this question?:) tysm ily

Answers

Try this solution:
V=25*40*40+25*35*40=40*1875=75000 cm³

answer: 75000 cm³.

Question 7 plz help me saner this question

Answers

Hi again!

[tex] \frac{8}{4000} * 100 [/tex]

1/5 %

= 0.2%


I hope this helps!

Given ΔJKL : ΔXYZ, find the scale factor.
6 8
---- ----
9 x

Answers

I'm assuming it's 6/9 = 8/x, so I'll work with that.
Multiply means and extremes
6x = 72
x = 12
6/9 = 8/12
The scale factor is 4/3 or 1 and 1/3

Hope this helps =)

Answer:

it is 16

Step-by-step explanation:

Please help me with question 5

Answers

Use the left and right triangles. (the two smaller ones -- ACD and BCD)
By similar triangles ACD is similar to BCD
on the left AD/CD is one ratio
On the right CD/DB is the other. These two ratios are equal because they are corresponding parts.

AD / CD = CD / DB
AD = 3
DB = 12
CD = ??
Substitute.
3/CD = CD/12 Cross multiply
36 = CD^2
sqrt(36) = sqrt(CD^2)
CD = 6 <<<<==== Answer.
A <<<<====Answer.
 

Jane has $10000 to invest in AAA and AA bonds. The AAA bond yields a 5% and requieres a minimum investment of $1000. The AA bond yields an average of 8% and requires a minimum investment of $2000. Jane requires that at least three times as much money should be invested in the AAA bond as in the AA bond

Answers

Given:
$10,000 to invest
AAA bonds - minimum of $1,000 yields 5%
AA bonds - minimum of $2,000 yields 8%

Jane requires that at least three times as much money should be invested in the AAA bond as in the AA bond

Let x represent the investment in AA bond.

x + 3x = 10,000
4x = 10,000
x = 10,000 / 4
x = 2,500

Jane should invest 2,500 to AA bond.
Jane should invest 7,500 to AAA bond. This amount is 3 times the amount invested in AA bond.

2,500 * 8% = 200
2,500 + 200 = 2,700

7,500 * 5% = 375
7,500 + 375 = 7,875

Jane's $10,000 investment will earn $575 interest for a total of $10,575.

find the sum and express it in simplest form.
[tex](b - 3x) + ( - 5b + 6x - 5)[/tex]

Answers

(b - 3x) + (-5b + 6x - 5) 
= b - 3x - 5b + 6x - 5
= b - 5b - 3x + 6x - 5
= -4b + 3x - 5

Find three consecutive odd integers such that the sum of the smallest and 7 times the largest is 68

Answers

First we must assign variables to the integers.

x = smallest
y = middle
z = largest

x + 7z = 68    ← This equation represents the given information
 
We can assume that "z" is less than 11 because 7*11 = 77, which is greater than 68.

Our possible consecutive odd integers could be:

a) 1, 3, 5
b) 3, 5, 7
c) 5,7, 9

Lets to plug in the "x" and "z" values

a) 1 + 7(5) = 1+ 35 = 36       This is incorrect, because 36 ≠ 68

b) 3 + 7(7) = 3 + 49 = 52      This is incorrect as well, because 52 ≠ 68

That leaves our final choice. Let's check to be certain

c) 5 + 7(9) = 5 + 63 = 68

5, 7, 9 is the 3 consecutive integers such that the sum of the smallest and 7 times the largest is 68.

The three consecutive odd integers such that the sum of the smallest and 7 times the largest is 68 are: Integers 5, 7 and 9.

Let;

x = smallest odd integer

(x+2) = middle odd integer

(x +4) = largest integer

The question however suggests that;

The sum of the smallest number and 7 times the largest number is 68.

Therefore;

x + 7(x+4) = 68

8x + 28 = 68

8x = 40

x = 5.

In essence,

the smallest number is x = 5.

the middle number is x+2 = 7.

the largest number is x+4 = 9

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Rosalia passed out fliers that say, “Vote for Rosalia!” She gave out 85 fliers on Monday, 66 fliers on Tuesday, and 99 fliers on Wednesday. What fraction of the fliers did she give out on Wednesday? Use a diagonal fraction bar in your answer. Explain how you found the answer.

Answers

The information provided will allow us to create a ratio of the number of fliers given out on Wednesday in relationship/compared to the total number of flyers.  This would be written as 99 on Wed./250 total.  I found this by reading the question.  It asked for the fraction given out Wed., which we can write a ratio of part to total for.  The part is Wednesday and total is all the days added together.

Answer:

She gave out a total of 250 fliers and 99 of them were given out Wednesday. The fraction for that would be 99/250.

Step-by-step explanation:

Consider the provided information.

She gave out 85 fliers on Monday 66 fliers on Tuesday, and 99 fliers on Wednesday.

Now, calculate the total number of fliers she give:

She give 250 fliers in total.

We need to find the fraction of the fliers she give out on Wednesday.

On Wednesday she give 99 fliers and total she give 250 fliers.

99/250

Hence, she give out 99/250 fraction of fliers on Wednesday.

A truck has total of a pounds of fruit in each of n boxes. How many pounds of fruit are on the truck?

Answers

the answer is a times n

Answer:

a x n

Step-by-step explanation:

There are a pounds in n identical boxes. That means you would have to multiply to get the answer.

How do you turn 43% into a fraction

Answers

43% = 43/100 and it can't be simplified any further

To write a percent as a fraction in lowest terms, first remember that a percent is a ratio that compares a number to 100. 43% can be written as the ratio 43 to 100 or 43/100.

Therefore, 43% can be written as the fraction 43/100.

which of the following values of x makes the rational expression below equal to zero? 2x+16/x+5
a. 5
b. -5
c. 8
d. -8

Answers

2x + 16 / x + 5
 For this case what you should know is that an indefinite expression are those in which mathematically no numerical value can be obtained.
 We have then that a division between zero causes an expression to be undefined.
 For x = -5 we have:
 (2 (-5) +16) / ((- 5) +5)
 (-10 + 16) / (- 5 + 5) = 6/0 (undefined)
 Answer:
 x = -5
 b. -5

Answer:

d. -8

Step-by-step explanation:

Remember that you cannot possibly divide anything by 0, so if the denominator gives as a result 0, you are dealing with an impossibility, in order for a franction to give as a result 0, the numerator has to be 0, so we just need to equalize the numerator to 0 and solve for x to know how can we make the rational expression 0:

2x+16=0

2x=-16

x=-16/2

x=-8

So in order to make the expression equal to 0 x needs to be equal to -8,

Help!
Could it be...??
a. /_ A
b. /_ BCA
c. /_ b
d. /_ CBA

Answers

B needs to be in the middle so the answer would be D

The glass container is filled to a height of 2.25 inches. What percent of the container is filled with sand?

Answers

the complete question in the attached figure

Part A) How much sand is currently in the container?
[sand  currently in the container]=(5)*(4 1/2)*(2.25)-----> (5)*(4.5)*(2.25)
[sand  currently in the container]=50.625 in³

the answer Part a) is 50.625 in³

Part B) How much more sand could the container hold before?
[sand could the container hold before]=[5*4.5*3]-[50.625]
[sand could the container hold before]=[67.5]-[50.625]------> 16.875 in³

the answer Part B) is 16.875 in³

Part C) What percent of the container is filled with sand?
the volume of container is [5*4.5*3]=67.5 in³
the volume filled with sand=50.625 in³
therefore
if 100%----------------> 67.5 in³
 X---------------------> 50.625 in³
X=(50.625*100)/67.5=75 %

the answer Part C) is 75%





how to erite a sequence of 1/4 , 1/2,3 write a rule for the sequence 1/4 1/2 3/4

Answers

The equation for finding the equation of an arithmetic sequence is an=a1+(n-1)d, where n is the input for the sequence, a1 is the first term, and d is the difference between each term. 

a1= 1/4
d= 1/4 

an= 1/4 + (n-1)(1/2) - First you need to distribute the 1/2 to both the n and -1 to get:    an= 1/4 + 1/2n -1/2.

Then you need to add like terms (1/4-1/2) to get an=1/2n-1/4.  Hope this helps!

The sequence 1/4, 1/2, 3/4 increases by 1/4 for each subsequent term, defining it as an arithmetic sequence with a common difference of 1/4.

To find a rule for the sequence 1/4, 1/2, 3/4, we can examine the pattern and observe that the sequence consists of fractions that increase by 1/4 each step. Starting with 1/4, when we add 1/4, we get 1/2, and adding another 1/4 to 1/2 gives us 3/4. So the rule of the sequence can be written as 'start at 1/4 and add 1/4 each step'. This pattern is an arithmetic sequence with a common difference of 1/4.

HELP MEEE!!! PLEASE!!!

Answers

Easy multiply the first number and do keep change flip 

An equipment rental company charges a flat rate of $25, plus $13 per day for insurance. Kyle has $121. Write an inequality to represent the number of days, d, for which he can rent equipment

Answers

Final answer:

The inequality to represent the number of days, d, Kyle can rent equipment with $121 is 25 + 13d ≤ 121. After solving, the result is d ≤ 7, meaning Kyle can rent the equipment for at most 7 days.

Explanation:

To represent the number of days, d, that Kyle can rent equipment given he has $121, we set up an inequality taking into account the flat rate and the daily insurance cost. The equipment rental company charges a flat rate of $25 plus $13 per day for insurance. Therefore, the cost for d days would be $25 + $13d. Since Kyle has $121, we can write the inequality as:

25 + 13d ≤ 121.

This inequality shows that the total cost of renting the equipment for d days, which includes the flat rate and the per-day insurance cost, must be less than or equal to the amount Kyle has.

To solve for d, subtract 25 from both sides:

13d ≤ 121 - 25

13d ≤ 96

Now, divide both sides by 13 to find the maximum number of days Kyle can rent the equipment:

d ≤ 96 / 13

d ≤ 7

Thus, Kyle can rent the equipment for at most 7 days.

Final answer:

Kyle can rent equipment for at most 7 days with $121, considering a flat rate of $25 and a $13 per day insurance charge, as represented by the inequality 25 + 13d ≤ 121.

Explanation:

To find the inequality that represents the number of days, d, for which Kyle can rent equipment given that he has $121, we need to consider both the flat rate and the per day insurance charge.

The flat rate for renting equipment is $25, and the daily insurance charge is $13 per day. So, the cost for d days would be the flat rate plus the daily charge times the number of days, which can be represented by the following equation:

Cost = Flat rate + (Insurance charge per day × Number of days)

Cost = 25 + 13d

Since Kyle only has $121, he can spend up to that amount. Therefore, the inequality would be:

25 + 13d ≤ 121

To solve for d:

13d ≤ 121 - 25

13d ≤ 96

d ≤ 96/13

≤ 7.38

Since Kyle can't rent equipment for a fraction of a day, we take the whole number part of the division result. This means that Kyle can rent the equipment for at most 7 days.

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