answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andrezito [222]
2 years ago
10

Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95cents​, 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 414 ounces of​ coffee, while collecting a total of ​$34.05. How many cups of each size did Kyle​ fill?
Mathematics
1 answer:
lianna [129]2 years ago
5 0

Answer:

10Oz = 7 , 14Oz = 16, 20 OZ = 6

Step-by-step explanation:

There three equations that can be made here based on given data

Let number of 10 Oz cup be  x

Let number of 14 Oz cup be y

Let number of 20 Oz cube be z

we can see that

x+y+z=29  -----  (i)

.95x + 1.15y + 1.5z = 34.05  ---- (ii)

10x+ 14y + 20z = 414 ---- (iiI)

We can solve these equations together to get the value of x and y and z  (Done through calculator 3 variable equation function)

x= 7

y=16

z=6

You might be interested in
Can someone help please??
Nady [450]

Answer:

The scores in order from least likely to most likely is 8, 3, 4, and 5.

Step-by-step explanation:

1. Calculate the probability of the spinner adding up to 1, 2, 3, 4, .... 8

You will get:

2 (1/16)

3 (2/16)

4 (3/16)

5 (4/16)

6 (3/16)

7 (2/16)

8 (1/16)

2. Given the scores from the problem, the probability of each number is 3 (2/16), 4 (3/16), 5 (4/16), and 8 (1/16).

3. With this, we can determine the scores in order from least likely to most likely is 8, 3, 4, and 5.

8 0
2 years ago
The Ignorance Survey: United Kingdom A survey was conducted in the United Kingdom, where respondents were asked if they had a un
lukranit [14]

Answer:

Here we have given two catogaries as degree holder and non degree holder.

So here we have to test the hypothesis that,

H0 : p1 = p2 Vs H1 : p1 not= p2

where p1 is population proportion of degree holder.

p2 is population proportion of non degree holder.

Assume alpha = level of significance = 5% = 0.05

The test is two tailed.

Here test statistic follows standard normal distribution.

The test statistic is,

Z = (p1^ - p2^) / SE

where SE = sqrt[(p^*q^)/n1 + (p^*q^)/n2]

p1^ = x1/n1

p2^ = x2/n2

p^ = (x1+x2) / (n1+n2)

This we can done in TI_83 calculator.

steps :

STAT --> TESTS --> 6:2-PropZTest --> ENTER --> Input all the values --> select alternative "not= P2" --> ENTER --> Calculate --> ENTER

Test statistic Z = 1.60

P-value = 0.1090

P-value > alpha

Fail to reject H0 or accept H0 at 5% level of significance.

Conclusion : There is not sufficient evidence to say that  the percent of correct answers is significantly different between degree holders and non-degree holders.

7 0
2 years ago
A scientist looks at a bacterium and a virus in a lab. The bacterium has a diameter of mc020-1.jpg meters. The virus has a diame
Reil [10]
You can divide the two values A = diameter of bacterium B = diameter of virus A/B = (10^(-6))/(10^(-7)) A/B = 10^(-6-(-7)) A/B = 10^(-6+7) A/B = 10^(1) A/B = 10 Since the ratio of the two diameters is 10, this means that the diameter of the bacterium is 10 times greater than that of the virus. 
6 0
2 years ago
Jack was so frustrated with his slow laptop that he threw it out of his second story window. The height, h, of the laptop at tim
jeyben [28]

Answer:

The domain of the function is the interval [0,2.23]

see the explanation

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> the height of the laptop in units

we have

h(t)=-16t^{2}+28t+17

we know that

When the laptop hits the ground, the value of h(t) is equal to zero

so

For h(t)=0

-16t^{2}+28t+17=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^{2}+28t+17=0

so

a=-16\\b=28\\c=17

substitute in the formula

x=\frac{-28(+/-)\sqrt{28^{2}-4(-16)(17)}} {2(-16)}

x=\frac{-28(+/-)\sqrt{1,872}} {-32}

x=\frac{-28(+/-)12\sqrt{13}} {-32}

x_1=\frac{-28(+)12\sqrt{13}} {-32}=-0.477

x_1=\frac{28(-)12\sqrt{13}} {32}=-0.477  ---> is not a solution

x_2=\frac{-28(-)12\sqrt{13}} {-32}

x_2=\frac{28(+)12\sqrt{13}} {32}=2.23\ sec

therefore

The domain of the function is the interval [0,2.23]

All real numbers greater than or equal to 0 seconds and less than or equal to 2.23 seconds

0\ sec \leq x \leq 2.23\ sec

5 0
2 years ago
A bowl is the shape of a hemisphere and made out of thick clay. The diameter of the outside bowl is 44.6 cm. And the diameter of
aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

Ive already explained this somebody else asked if you find it you will have the answer

3 0
2 years ago
Other questions:
  • In Ms Barclay's classroom 2/5 students play chess. 5/6 of the students play Sudoku. If there are 30 students, in her class how m
    15·1 answer
  • Find an equation of the largest sphere contained in the cube determined by the planes x = 2, x = 16; y = 4, y = 18; and z = 7, z
    5·1 answer
  • Line CD passes through points (0, 2) and (4, 6). Which equation represents line CD?. .a. y = 2x – 2. b.y = 2x + 2. c.y = x + 2.
    9·2 answers
  • It takes 12 minutes to fill an entire bathtub using both the cold and hot water. If just the cold water is used, it takes 18 min
    12·2 answers
  • Zachary’s final project for college course took a semester to write and had 95,234 words.zachary wrote 35,295 words the first mo
    10·1 answer
  • 19.Find the median of the distribution 5,9,8,6,3,5,7,12 and 13<br>1<br>-​
    10·1 answer
  • 1. Jacob opens an online-only savings account and deposits $50 each month. The annual interest rate is
    6·1 answer
  • The polygons in each pair are similar. Find the missing side length.
    8·1 answer
  • You operate a fresh fruit and vegetable market. For normal shipments, about 9.0% of the peaches are spoiled when they reached yo
    9·1 answer
  • An analyst wants to include the level of education to a regression model. The level of education has 4 possible values: HS, BS,
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!