1answer.
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
Elis [28]
3 years ago
11

6 plates and 5 cups cost 23.80 dollars. 7 plates and 6 cups cost 28.00 dollars. Each plate costs the same amount as the other pl

ates, each cup costs the same amount as the other cups. What is the cost of one plate? What is the cost of 1 cup?
Mathematics
1 answer:
MrRa [10]3 years ago
6 0

Answer:

c = $1.4

p = $2.8

Step-by-step explanation:

two equations can be derived from the question

6p + 5c = 23.80 equation 1

7p + 6c = 28  equation 2

p = plates

c - cups

multiply equation 1 by 7 and equation 2 by 6

42p + 35c = 166.60  equation 3

42p + 36c = 168  equation 4

subtract equation 3 from 4

c = 1.4

substitute for c in equation 1

6p + 5(1.4)  = 23.80

p = (23.80 - 7) / 6

p = 2.8

You might be interested in
Pls help me this is for my final text and I’m struggling really bad!!!
vodka [1.7K]
I’m not so sure I fully understand the question. But I would say the rate is 1.

I say this because the line on your graph is a y=mx+b equation.

For every unit it moves over on the X axis it moves the same unit on the Y axis.

I hope this helps.
5 0
3 years ago
M is directly proportional to r3<br>When r = 4, M = 160<br>a) Work out the value of M when r = 2.​
Natali [406]

Answer:

M = 20

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

To find k use the condition when r = 4, M = 160, that is

160 = k × 4³ = 64k (divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of proportion

When r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

6 0
3 years ago
Read 2 more answers
HELPPP ITS QUESTION 17 BTW
Veronika [31]

Answer:

c

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The local softball field has a lemonade stand. The graph shows the amount of money in the cash register of the lemonade stand.
Alexxandr [17]

1.

<h3>The y-intercept</h3>

The y-intercept is $35.

The y-intercept of a straight line graph is the point at which the graph intercepts the y-axis.

So, from the graph, the y-intercept is $35.

2.

<h3>The meaning of y-coordinate</h3>

The y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

Since the y-intercept represents the point at which the graph intercepts the y-axis and then the x- value is zero, the y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

The y-coordinate of the y-intercept of the function represents the amount of money present at the beginning of the sale when no cups where sold.

3.

<h3>The slope</h3>

The slope is 2.5

Since we are given two points on the line, the slope m of a line given two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).

From the graph, (x₁, y₁) = (3, 42.5) and (x₂, y₂) = (9, 57.5)

So, substituting these values into the equation for m, we have

m = (y₂ - y₁)/(x₂ - x₁)

m = (57.5 - 42.5)/(9 - 3)

m = 15.0/6

m = 2.5

The slope is 2.5

4.

<h3>Meaning of the slope</h3>

The slope represents the rate at which the lemonade is sold

Since the y-axis represent the amount of money in the cash register and the x-axis represents the number of cups of lemonade sold, the slope represents the rate at which the lemonade is sold.

The slope represents the rate at which the lemonade is sold

Learn more about straight-line graphs here:

brainly.com/question/14808962

8 0
2 years ago
ALGEBRA QUESTION WILL GIVE BRAINLIEST IF CORRECT!!!
Ulleksa [173]

Answer:

Step-by-step explanation:

(f + g)(x) simply means that you are adding together the 2 functions that are written in terms of x.

x^3-x+x^3+2x^2-10

The only like terms we have there are the x-cubed's, so

2x^3+2x^2-x-10=(f+g)(x)

3 0
3 years ago
Other questions:
  • I need help again pleade
    11·1 answer
  • Suppose a sociologist studying the sleep habits of teenagers in the United States randomly surveyed 1873 teenagers. Of those, 29
    9·1 answer
  • If y varies directly as x, and y is 20 when x is 4, whats this relation?
    7·1 answer
  • Find the difference. m+2/(m-4)^2 - m-2/(m-4)^2​
    7·1 answer
  • I need help on 3 and 4 plz due by tomorrow
    12·1 answer
  • Which ordered pair is a solution of the equation? − 4 x + 7 = 2 y − 3 −4x+7=2y−3
    6·1 answer
  • Fractions order from least to greatest!!
    7·2 answers
  • Please help me im literally crying help if I fail i give up i can't.​
    15·2 answers
  • A trapezoid was broken into a rectangle and a triangle.
    6·2 answers
  • Twenty students are standing in line to buy food at a football game. The first three students
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!