Johanna sells small cakes for $60 and large cakes for $80. She earned $1200 in sales one day. Johanna found that she could represent this situation with the equation

60x+80y=1200

where x is the number of small cakes and y is the number of large cakes.

If this equation is rewritten as a function by solving for y, what would be a reasonable domain for that function?

Answers

Answer 1

Answer:

[tex]0 \le x \le 20[/tex]

Step-by-step explanation:

Given

[tex]60x + 80y = 1200[/tex]

Required

Determine the domain

[tex]60x + 80y = 1200[/tex]

First, solve for y

[tex]80y = 1200 - 60x[/tex]

Divide through by 80

[tex]\frac{80y}{80} = \frac{1200}{80} - \frac{60x}{80}[/tex]

[tex]y = \frac{1200}{80} - \frac{60x}{80}[/tex]

[tex]y = 15- 0.75x[/tex]

Given that x represents large cakes

The smallest number of cakes is 0.

To get the largest, we simply set y to 0 (to get the x intercept)

[tex]0 = 15- 0.75x[/tex]

[tex]-15 = - 0.75x[/tex]

Solve for x

[tex]x = \frac{-15}{-0.75}[/tex]

[tex]x = 20[/tex]

Hence, the domain is:

[tex]0 \le x \le 20[/tex]


Related Questions

e
Find the mode of the
data set:

25,29, 22,19,20,29, 23, 29,
19,31

Answers

Answer:

the mode is 29

Step-by-step explanation:

the mode is the number that appears most often in a set of data, thus making it 29

It should be 29 that is right

please help me !!! :))))

Answers

Answer:

12.4 in

Step-by-step explanation:

I whish i can help :)

Answer:

13.6

Step-by-step explanation:

We can use the pythagorean therom since we know the 2 side leanths and solve for the longest side of the triangle which is the rectangle cut diagonally

11^2+8^2=c^2

121+64=c^2

185=c^2

√185= √c^2

13.6=c

Hope that  helps !

when f(n) =12, what is rhe value of n​

Answers

Answer:

When f(n) = 12, what is the value of n? Answer: n=5

Step-by-step explanation:

llan needs to prove that RS - TU and RU - TS. His proof is shown in the table below.
Step
Statement
1
RSTU is a parallelogram
RS is parallel to TU and RU is
parallel to TS
2
3
RSU
TUS and RUS TSU
4
SU = US
5
ARSU = ATUS
6
RS TU and RU = TS
Select all reasons that support one or more statements in the proof.
symmetric property
opposite sides of a parallelogram are congruent
definition of a parallelogram
ООО
alternate interior angles are congruent
corresponding parts of congruent triangles are congruent

Answers

Answer:

- opposite sides of a parallelogram are congruent.

-definition of a parallelogram

- alternate interior angles are congruent

Step-by-step explanation: I took the test .

Bob took a total of 30 quizzes over the course of 5 weeks. After attending 8 weeks of school this quarter, how many quizzes will Bob have taken in total. Solve using unit rates

Answers

Answer:

Step-by-step explanation:

total= 5/8

Answer:

48 quizzes

Step-by-step explanation:

1. divide 30 by 5 to see how many quizzes he took each week

30/5 = 6

Bob took 6 quizzes each week

2. multiply 8 weeks by 6 quizzes per week

8 x 6 = 48

48 quizzes

:))))

I need help with this question

Answers

Answer:

67 people i believe. I am not 100% sure..

Step-by-step explanation:

i just don’t understand can someone help me

Answers

Answer:

5 years

Step-by-step explanation:

5yearhdjdjdjkdjskeksk

Answer:

5 years

Step-by-step explanation:

if you divide 90 by 18 you get 5 so the answer is 5 years

Hope it helped :)

If James has 186 apples. He hands them out to his 8 friends. Will each friend get an equal amount? How much will each friend get?

Answers

Answer:

No they will not because the total will be 23.25

Step-by-step explanation:

Answer:

im sorry but just- the- the profile picture and the name james... i cant lol if ykyk

anyways each friend would get 23 whole apples since 186/8 = 23.25 and you cant give .25 of an apple as a whole apple.

A rectangle has sides of 3 cm and 5 cm. A similar
rectangle is dilated by a scale factor of 2. Find its
dimensions.
06 cm by 10 cm
01.5 cm by 2.5 cm
O2 cm by 3 cm
O2 cm by 2.5 cm

Answers

Answer: 6cm by 10cm

Step-by-step explanation: Any scale factor greater than one will increase the size or area of the shape. since 2 is greater than one multiply to find the new dimensions

increase 40 pounds by 70%​

Answers

Increase total = original amount x (1 + increase rate)

40 x (1 + 0.70)

40 x 1.7 = 68

The answer is 68

68 is the answer hope it help's

In ΔDEF, e = 49 cm, d = 73 cm and ∠D=52°. Find all possible values of ∠E, to the nearest degree.

Answers

Answer: 32

Step-by-step explanation:

The sum of two numbers is 58. If there difference is 28, find both numbers

Answers

Answer:

y = 15

x = 43

Step-by-step explanation:

this is giving us a system of equations because we know two things:

x + y = 58

x - y = 28

take the second equation and format it where you have simplified it for one variable:

x = 28 + y

(we did this by adding y to both sides)

now substitute this new value of x into the first equation:

28 + y + y = 58

simplify this to get 2y = 30

divide both sides by 2: y = 15

now substitute your new value of y into the second equation:

x = 28 + 15

x = 43

(-w^3 + 8w^2 - 3w) - (4w^2 + 5w - 7) PLS HELP in standard polynomial form plsssss

Answers

Answer:

−w^3+4w^2−8w+7v

how do you put this into a decimal equivalent

8 4/9=

Answers

Answer:

8.44444444444

Step-by-step explanation:

hope this helped

Answer:

8.44!!

Step-by-step explanation:

hope this helps!!

Love: Deku <3

5w + 4 =-16 help me plz

Answers

Answer:

w = -4

Explanation:

5w + 4 = -16

Subtract 4 From Both Sides

5w + 4 - 4 = -16 - 4

Simplify

5w = -20

Divide Both Sides By 5

5w / 5 = -20 / 5

Simplifyw = -4

HELP PLEASE I WILL MARK BRAINLIEST IF RIGHT ANSWER!!

Answers

Answer:

Its XYW is half of LXYZ

Step-by-step explanation:

.

Answer:

this is the required solution

Identifying and Graphing Sequences: lesson 4-1

-Complete the table and state the domain and range for the sequence.
Domain:
Range:

Write the first four terms of each sequence.

1.
2.
3.
4.

Answers

Answer:

1) Domain: {   1,2,3,4,5,6}

Range: {12,24,36,48,60,72}

2) First four terms are: 2,5,8,11

3) First four terms are: 8,13,20,29

4) First four terms are: 0,0,2,6

5) First four terms are: 0,1,1.41,1.73

Step-by-step explanation:

1.

n       1      2     3     4      5      6

f(n)    12    24    36   48    60    72

Domain: {   1,2,3,4,5,6}

Range: {12,24,36,48,60,72}

Write first four terms of each sequence

2) f(n)=3n-1

Put n = 1, 3(1)-1 = 3-1 = 2

Put n = 2, 3(2)-1 = 6-1 = 5

Put n = 3, 3(3)-1 = 9-1 = 8

Put n = 4, 3(4)-1 = 12-1 = 11

So, First four terms are: 2,5,8,11

3) f(n)=n^2+2n+5

Put n = 1, (1)^2+2(1)+5= 1+2+5 = 8

Put n = 2, (2)^2+2(2)+5 = 4+4+5= 13

Put n = 3, (3)^2+2(3)+5 = 9+6+5 = 20

Put n = 4, (4)^2+2(4)+5 = 16+8+5 = 29

So, First four terms are: 8,13,20,29

4) f(n)=(n-1)(n-2)

Put n = 1, (1-1)(1-2) = 0(-1) = 0

Put n = 2, (2-1)(2-2) = 1(0) = 0

Put n = 3, (3-1)(3-2) = 2(1) = 2

Put n = 4, (4-1)(4-2) = 3(2) = 6

So, First four terms are: 0,0,2,6

5) f(n) = [tex]\sqrt{n-1}[/tex]

Put n=1 [tex]\sqrt{1-1}=\sqrt{0}=0[/tex]

Put n=2 [tex]\sqrt{2-1}=\sqrt{1}=1[/tex]

Put n=3 [tex]\sqrt{3-1}=\sqrt{2}= 1.41[/tex]

Put n=4 [tex]\sqrt{4-1}=\sqrt{3}=1.73[/tex]

So, First four terms are: 0,1,1.41,1.73

What is the answer QUIcK

Answers

The answer is the last one C

Sandy needs to create a triangular structure for her science project. She has two
pieces of bamboo measuring 6.5 inches and 8.1 inches. How long must her third piece
of bamboo be in order to create a triangle?
A 14.4 inches
B 14.6 inches
C 1.4 inches
D 1.6 inches

Answers

Answer:

The third piece must be 14.4 inches

Step-by-step explanation:

We use the triangle inequality theorem to get the third side

using the theorem, it must be that the sum of the two will be greater than the length of the third side

Hence we have it that;

a + b > c

6.5 + 8.1 > c

14.6 > c

So what this mean is that the third length is less than 14.6

the reasonable answer out of the options is thus 14.4 inches

reason for this is that the last two options will also not follow the inequality theorem

Stock prices fell 250 points one day and 60 points the next day. What is the average change in stock prices over the two days

Answers

Answer:

the average change in stock prices over the two days is -155

Step-by-step explanation:

The computation of the average change in stock price over the two days is shown below:

= (-One day points - second day points) ÷ number of days

= (-250 points - 60 points ) ÷ 2 days

= -310 points ÷ 2 days

= -155

Hence, the average change in stock prices over the two days is -155

We simply applied the above formula so that the average change could come

what is 41,250 written in scientific notation​

Answers

Why is 41,250 written as 4.125 x 104 in scientific notation?

4.125 x 104 is the answer

which expression has value of 15 when = 12?


[tex] \frac{18}{p} \: \: \: \: \: \: \: \: [/tex]
or

3p

or

18-p

or

p+3

someone please help me im failing math ​

Answers

Answer:

I think its 3p not sure but u can try that

Read the paragraph. When young people are encouraged to take risks, they build confidence in their own decision-making skills and capabilities. Consider Winston, a ninth grader willing to try out for a varsity sport or a competitive performance band. He risks failure and personal embarrassment, but he learns the tryout process. He may also learn his personal strengths and shortcomings. Whether he is met with success or not, the risk-taking experience fosters self-reflection and growth. What central idea is explicitly stated in the paragraph? Young students should compete in varsity athletics. Students learn about themselves by taking risks. Students benefit from high-level competition. Young students are nervous during tryouts.

Answers

Answer:

B

Step-by-step explanation:

Based on the definition of a central Idea, the central Idea stated explicitly in the paragraph is that students learn about themselves by taking risks.

What is the central Idea in the paragraph?

The central Idea of a paragraph is the main theme or topic which the reader is expected to learn or remember.

According to the paragraph, when young people are encouraged to take risks, it helps them build self-confidence.

Even though the results of taking such risks may not be successful, the young person gets to know more about his strengths and weaknesses.

Therefore, the central Idea stated explicitly in the paragraph is that students learn about themselves by taking risks.

Learn more about about central Idea at: https://brainly.com/question/2684713

NEED HELP NOW PLEASE!!!! D;

A student answered 72 problems on a test correctly and received a grade 83%. How many problems were on the test, if all the problems were worth the same number of points? (Round to the nearest whole number)

Answers

Answer:

There were 86 problems on the test.

Step-by-step explanation:

72/87 = y/100

You use cross multiplication to solve. When you do this, you get the answer 86.75 problems, but since you can't have .75 of a problem, the answer is 86.

1. When graphing a system of equations with no solution, the slopes of the two lines will be

Answers

9514 1404 393

Answer:

  the same

Step-by-step explanation:

A system of linear equations with no solution graphs as parallel lines. The slopes of the lines are the same.

A. 7n+2 = 4n+17

B. 10-d = -34-5d

C. 8(x-1)-2x = -(x+50)

D. 80-3k = 5k+8

E. 3(2x+3)-x = x-23

F. 12(y+5) = 13y+58

G. 6(x-1) = 9(x-4)

H. 4(w-6) = 3(w+1)

I. 3+2(8-k) = 3k-1

J. 9m = 4m-35

K. 7-6u = 5u+29

L. 8y-3 = 16-(1-2y)
this is an answer worth answering cuz youll get like 40 points or 80

Answers

A. n=5
B. d=-11
C. x= -6
D. k=9
E.x= -8
F. y= 2
G. x= 10
H. w= 27
I. k= 4
J. m= -7
K. u= -2
L. y= 3

Answer:

a)n=5

b)d=-11

c)x=-6

d)k=9

e)x=-8

f)y=2

g)x=10

h)w=27

i)k=4

j)m=-7

k)u=-2

l)y=3

x^2 + y^2+ 4x- 2y = - 1

The equation of a circle in the x-y plane is shown above. What is the Radius of the Circle

2

3

4

9

Answers

Answer:

r = 2

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² + 4x - 2y = - 1 ← rearrange the x and y terms together

x² + 4x + y² - 2y = - 1

Using the method of completing the square

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(2)x + 4 + y² + 2(- 1)y + 1 = - 1 + 4 + 1

(x + 2)² + (y - 1)² = 4 ← in standard form

with r² = 4 ⇒ r = [tex]\sqrt{4}[/tex] = 2

translate : 5 more than a number squared (variable expression)

Answers

Answer:

5+x^2

Step-by-step explanation:

five more (5+) than a number squared (x^2)

Please please help me I really need help please

Answers

Answer:

s = 25y + 85

Step-by-step explanation:

Answer:

s = 25y + 85

Step-by-step explanation:

Initial number = 85Yearly added = 25Number of years = yTotal = s

The relationship is:

s = 25y + 85

In right triangle, ABC m\angle A=37 find the measure of angle B.

Answers

Answer:

B = 53 degrees

Step-by-step explanation:

37+90=127

180-127=53

If the measure of the angle ∠A is 37°. Then the measure of the angle ∠B will be 53°.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

In the right triangle ΔABC, the measure of the angle ∠A is 37°.

Angle A and angle B are complementary angles. Then the equation is given as,

∠A + ∠B = 90°

37° + ∠B = 90°

∠B = 90° - 37°

∠B = 53°

If the measure of the angle ∠A is 37°. Then the measure of the angle ∠B will be 53°.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ2

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