Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.50. During one busy​ period, Kyle served 29 cups of​ coffee, using 444 ounces of​ coffee, while collecting a total of ​$35.90. How many cups of each size did Kyle​ fill?
Kyle filled ___ 10-oz cup(s), ___ 14-oz cup(s), and ___ ​20-oz cup(s).

Answers

Answer 1

Answer:

10 oz: 7

14 oz: 8

20 oz: 6

Answer 2

Answer:

Kyle filled  4 servings of 10oz   16 servings of 14 oz  9 servings of 20 oz

Step-by-step explanation:

10oz  95c = x

14oz 1.15c = y

20oz 1.50c = z

444 given divided by 29 cups

= 444/29 = 15.3103448 average cup weight so the higher size were used more.  

9 servings of 20 oz cups = 180 = cost check at 1.50 x 9 = $13.50

16 servings of 14 oz cups = 224 = cost check at 16 x 1.15 = $18.40

4 servings of 10 oz cups = 40 = cost check at 4 x 0.95 = $3.80

Where given collection total said to be $35.90 we total 13.5+18.4+3.8 = 35.7 so we are 0.20 out and can try again.

OR just submit this.  4 servings of 10oz   16 servings of 14 oz  9 servings of 20 oz


Related Questions

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3
O y + 2 =1/3(x + 3)
O y-2=1/3(x-3)
O y + 3 = 1/3(x+ 2)
O y-3= 1/3(x-2)

Answers

Answer:

y - 2 = 1/3(x - 3)

Step-by-step explanation:

Point slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Plug in the slope:

y - y1 = m(x - x1)

y - y1 = 1/3(x - x1)

Plug in the given point:

y - y1 = 1/3(x - x1)

y - 2 = 1/3(x - 3)

So, the correct answer is y - 2 = 1/3(x - 3)


The area of a square is64. Cm

What is the length of its side

Answers

Answer:

The length is 8 cm. Since its a square, so the length of both its sides are equal.

l^2=64

where l=length of side

square root both sides

then, l=8

Answer:

8cm is the length of its side.

Step-by-step explanation:

A house was appraised at $330,000 . One year later the house was appraised at $335,000 . At what percent did the appraised price of the house increase?

Answers

Answer:

11 2/3%

Step-by-step explanation:

Change in Amount  =335,000 – 300,000

Percent Increase

Original Amount

300,000

35,000

2

=0.11666=11.666%=11-%

300,000

3

(https://imgur.com/a/U6c1pes) - For more clear explanation.

What is the common ratio for the geometric sequence below, written as a fraction?

768, 480, 300, 187.5, …


/

Answers

9514 1404 393

Answer:

  5/8

Step-by-step explanation:

Since the ratio is common, it can be found from the ratio of any pair of adjacent terms.

  r = 480/768 = (5·96)/(8·96) = 5/8

The common ratio is 5/8.

which will result in a perfect square trimonial

Answers

Answer:

No choices listed.

Step-by-step explanation:

determine the missing angle.

Answers

Answer: 130 degrees

Explanation: 180-50=130

A technical machinist is asked to build a cubical steel tank that will hold of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest .

Answers

Answer:

The smallest possible length is 0.83m

Step-by-step explanation:

Given

[tex]Volume = 565L[/tex]

Required

The smallest length of the tank

Since the tank is cubical, then the volume is:

[tex]Volume = Length^3[/tex]

This gives:

[tex]565L= Length^3[/tex]

Express as [tex]m^3[/tex]

[tex]\frac{565m^3}{1000} = Length^3[/tex]

[tex]0.565m^3 = Length^3[/tex]

Take cube roots of both sides

[tex]0.8267m = Length[/tex]

Rewrite as:

[tex]Length = 0.8267m[/tex]

Approximate

[tex]Length = 0.83m[/tex]

find the value of tanA when tan(A-45)=1÷3)​

Answers

Answer:

63.44degrees

Step-by-step explanation:

Given that;

tan(A-45) = 1/3

A-45 = arctan(1/3)

A - 45 = 18.44

A = 18.44+45

A = 63.44degrees

Hence the value of A is 63.44degrees

Which points are on the graph of the function rule f(x) = 10 - 4x

Answers

It’s the second one
Anwser: The second!

Explanation:

use the following picture to classify the following statements as true or false

Answers

True:

BC ≈ EF

BAC ≈ EDF

ABC ≈ DEF by ASA

AC ≈ DF


Not True:

ABC ≈ FDE

ABC ≈ DEF by AAS

Which inequality represents all numbers x on a number line that are farther from −8 than from −4?

Answers

Answer:

x - 8>-4-x

Step-by-step explanation:

Looking at x - 8>-4-x

Collect the like terms;

x+x > -4 + 8

2x < 4

x > 4/2

x < 2

Since the values of x are greater than 2,this shows that they are positive values and will be farther from -8 than -4

The population of rabbits on an island is growing exponentially. In the year 1992, the
population of rabbits was 220, and by 1997 the population had grown to 400. Predict
the population of rabbits in the year 2000, to the nearest whole number.

Answers

Answer:

572.6

Step-by-step explanation:

400 = 220 [tex]x^{5}[/tex]

ln(400/220) = 5 ln(x)

ln(x) = .1195

x = [tex]e^{.1195}[/tex]

x = 1.127

Y = 220[tex](1.127)^{8}[/tex]

Y= 572.6

Which equation represents the slope-intercept form of the line below?
y-intercept = (0,-6)
slope = -5
O A. y = -6x + 5
O B. y = -5x - 6
O C. y = -5x + 6
D. y = -6x-5

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Option B: [tex]y=-5x-6[/tex]

»»————- ★ ————-««  

Here’s why:  

Recall that the slope intercept form of a equation for a line is:

⸻⸻⸻⸻

[tex]\boxed{\text{Slope-Intercept Form:}}\\\\------------\\y=mx+b\\\\\boxed{\text{\underline{Key}}}\\\\\rightarrow\text{m - slope}\\\\\rightarrow\text{b - y-intercept}[/tex]

⸻⸻⸻⸻

We are given the information of:

The slope, which is -5.The y-intercept, which is (0, -6).

⸻⸻⸻⸻

[tex]\boxed{\text{Replace The Variables with The Appropriate Values:}}\\\\y=mx+b\\\\\rightarrow\text{-5 would replace 'm', -6 would replace 'b'.}\\\\\text{\underline{Therefore:}}\\\\y=mx+b\rightarrow\boxed{y=-5x-6}[/tex]

⸻⸻⸻⸻

Option B should be the correct answer.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

simplify the expression (2r^4y4xy^2) completely

Answers

Step-by-step explanation:

we can simplify the stuff inside the parentheses to

[tex] \frac{ {x}^{3} }{2y} [/tex]

now we need to multiply it with itself, giving us

[tex] \frac{ {x}^{6} }{4 {y}^{2} } [/tex]

so yeah, D is the correct answer

What’s the value of X????

Answers

Answer:
137

Step-by-step explanation:

Sum of opposite angles in a quadrilateral embedded in a circle=180

43+x=180

X=180-43

X=137

Ocuocktxjrxutxjxttuxudutx

Answers

Given:

The stem and leaf plot of a data set is given.

Legend:1|0 represents 10.

To find:

The original data set for the given stem and leaf plot.

Solution:

It is given that 1|0 represents 10 in the given stem and leaf plot. Using this, the original data set from the given stem and leaf plot is:

10, 11, 14, 21, 24, 24, 27, 29, 33, 35, 35, 35, 37, 38, 40, 41.

These values are in ascending order.

Therefore, the original set of data is 10, 11, 14, 21, 24, 24, 27, 29, 33, 35, 35, 35, 37, 38, 40, 41.

Assume that Y is normally distributed with mean μ and standard deviation σ. After observing a value of Y, a mathematician will construct a rectangle with length L = |Y|and width W = 3 |Y|. Let A denote the area of the resulting rectangle. What is E(A)?

Answers

It would be 3L and ea poroption thanks for the points

Find the equation of a line that contains the points (0,0) and (6,−7). Write the equation in slope-intercept form, using fractions when required.

Answers

Use the slope formula below:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.

[tex] \large{m = \frac{0 - ( - 7)}{0 - 6} } \\ \large{m = \frac{0 + 7}{ - 6} \longrightarrow \frac{7}{ - 6} } \\ \large \boxed{m = - \frac{7}{6} }[/tex]

We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.

[tex] \large \boxed{y = mx + b}[/tex]

The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.

[tex] \large{y = - \frac{7}{6} x + b}[/tex]

Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:

[tex] \large \boxed{y = - \frac{7}{6} + 0 \longrightarrow y = - \frac{7}{6} x}[/tex]

Answer

y = -7x/6

Hope this helps and let me know if you have any doubts! Good luck on your assignment!

1.2 x 10^19 x 5.88 x 10^12
This is scientific Notation I need this urgent please give good explanation

Answers

9514 1404 393

Answer:

  7.056 × 10^31

Step-by-step explanation:

The applicable rule of exponents is ...

  (10^a)(10^b) = 10^(a+b)

__

  [tex](1.2\times10^{19})\times(5.88\times10^{12})=(1.2\cdot5.88)\times10^{19+12}\\\\=\boxed{7.056\times10^{31}}[/tex]

As you know, the commutative and associative properties of multiplication let you rearrange the order of the product to any convenient form. Here it is convenient to group the mantissas together and the powers of 10 together.

__

Additional comments

This is a product your scientific or graphing calculator can produce for you. Likely it will display the result in scientific notation because it won't have enough display digits to show you the product any other way. For smaller numbers, you can set the display mode to give you scientific notation.

If you choose to use a spreadsheet to perform this calculation, the numbers would be entered as 1.2e19 and 5.88e12. The result will be something like 7.056e31. You may have to format the display to show 3 decimal places.

Given the logistic model f(x)= 800/1+19e^-0.402x
what is the initial value? Round your answer to the nearest whole number.

Answers

9514 1404 393

Answer:

  40

Step-by-step explanation:

The "initial value" is the value when x=0.

  [tex]f(x)=\dfrac{800}{1+19e^{-0.402x}}\\\\f(0) =\dfrac{800}{1+19e^0}=\dfrac{800}{1+19}=\dfrac{800}{20}\\\\=\boxed{40}[/tex]

The initial value is 40.

Balu had a collection of coins1/2 of the coins were from Asian countries,1/3

of them from European countries and the remaining 36 from America.

How many coins were from ASIAN countries?

A)18

B)30

C)108

D)216 step by step explanation please​

Answers

Step-by-step explanation:

[tex] \frac{1}{2} = asian \\ \frac{1}{3} = european \\ 36 = american \\ \frac{1}{2} + \frac{1}{3} = \frac{3 + 2}{6} = \frac{5}{6} \\ \frac{6}{6} - \frac{5}{6} = \frac{1}{6} = 36 \\ \frac{1}{6} = 36 \: so \\ \frac{6}{6} =6 \times 36 = 216 \\ \frac{1}{2} \times 216 = asian \\ \frac{1}{2} \times 216 = 108asian \\ please \: mark \: brainliest[/tex]

There are total 108 coins belonging to Asian countries.

What is equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, Balu had a collection of coins 1/2 of the coins were from Asian countries, 1/3 of them from European countries and the remaining 36 from America.

Let the total number of coins be x,

Establishing the equation, we get,

x/3+x/2+36 = x

Multiplying the equation by 6, we get,

2x+3x+216 = 6x

6x-5x = 216

x = 216

Therefore, the total numbers of coins are 216,

Since, there are 1/2 of total coins are Asian coins,

Therefore, number of Asian coins = 216 / 2 = 108

Hence, There are total 108 coins belonging to Asian countries.

For more references on equations, click;

https://brainly.com/question/29657983

#SPJ2

Determine which data are qualitative and which data are quantitative. Explain your reasoning
a. The yearlysalaries of the employees at aschool district.(2pts)
b. The employeenumbers of the employees at an accounting firm.(2pts)
c. The areacodes of a sample of 350 residents of nursing homes.(2pts)
d. The ages of a sample of 350 residents of nursing home. (2pts)
e. The answers to a survey of 5000 people about how likely is it that the US will enter a 1930s-like depression. The answers are: Very likely, somewhat likely, not very likely, not at all likely. (2pts)
f. The IQ index of the students in a statistics class.(2pts)

Answers

Answer:

a. Quantitative

b. Qualitative

c. Qualitative

d. Quantitative

e. Qualitative

f. Quantitative

Step-by-step explanation:

Qualitative measures:

Answers are labels, that is, yes/no, good/bad, or numbers in which comparisons or operations cannot be made.

Quantitative measures:

Answers are numbers in which comparisons are made, or possible operations.

a. The yearly salaries of the employees at a school district.(2pts)

Salaries are numbers, in which comparisons can be made(more or less), so quantitative.

b. The employee numbers of the employees at an accounting firm.(2pts)

Number, but comparisons aren't made with these numbers, so qualitative.

c. The area codes of a sample of 350 residents of nursing homes.(2pts)

Number, but comparisons aren't made with these numbers, so also qualitative.

d. The ages of a sample of 350 residents of nursing home. (2pts)

Number, comparisons made, you can rank by age for example, so quantitative.

e. The answers to a survey of 5000 people about how likely is it that the US will enter a 1930s-like depression. The answers are: Very likely, somewhat likely, not very likely, not at all likely. (2pts)

Labels, so qualitative.

f. The IQ index of the students in a statistics class.(2pts)

Students can be ranked by IQ, so quantitative.

A coin is flipped 8 times. Find the probability of the event:

exactly 6 heads

Answers

Answer:

P(E)=56256=732.  Step-by-step explanation:

Thus, the probability of getting exactly 3 heads when a coin is flipped 8 times in a row

Which of the following is a point-slope equation of a line with the point (-6,2)
and a slope of ? 1/2

Answers

Answer:

Choose (D)

y-y1=m(x-x1)

y-2=1/2(x+6)

HELPPPPOOOPPPPOPPPPPPPP

Answers

the answer is b. if you look at the line it intercepts with x at the point -8. and if you look at where it intercepts with y it’s at -2.

Answer:

Your answer would be B

Step-by-step explanation:

So right away you can get rid of a and d since they are positive numbers, there is no positive numbers in the graph were the line is.

So we know that the y-intercept is -2 (as you can see the line pass through (0,-2))

And we know the y intercept is -8 (since the line pass through (-8,0))

so you are left with b and c, c is incorrect because the -2 goes through the y-intercept not the x.

The right choice is b, it states that the x-intercept -8 pass through the line, the y-intercept is -2

Your welcome and hoped this helped!

Simplify Expressions. Which expression is
equivalent to 5x - 2 + 2x - 6
7X-8
3X-8
7x - 4
3X - 4

Answers

Answer:

7x - 8

Step-by-step explanation:

Hope this helps!

HELP plsssss I will GIVE YOU BRAINLYEST

Answers

Answer: B

Step-by-step explanation:

Answer:

-5ºC < 5ºC is an inequality that compares temperatures.

B is the correct answer for the multiple choice question.

When Ximena commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 38 minutes and a standard deviation of 4.5 minutes. Using the empirical rule, determine the interval that represents the middle 68% of her commute times.

Answers

Answer:

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 38 minutes, standard deviation of 4.5 minutes.

Determine the interval that represents the middle 68% of her commute times.

Within 1 standard deviation of the mean. So

38 - 4.5 = 33.5 minutes

38 + 4.5 = 42.5 minutes.

The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.

Which pair of expressions below are equivalent?

a. 7(2n) and 9
b. 3n + 5n and 15n
c. 4(2n-6) and 8n - 24
d. 7(2n) and 72n​

Answers

Answer:

The answer is C

Hope this helped!


[tex]4 \sqrt{(3x}^{3} [/tex]
write in exponential form​

Answers

Answer:

[tex]4(3x)^{\frac{3}{2} }[/tex]

Step-by-step explanation:

4(3x) 3/2
hope that helps
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