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
Lelechka [254]
3 years ago
11

The table shows the amount of lemon juice needed to make lemonade. (Unit 9 Lesson 3) Lemon juice (cups) 5 10 20 Servings 35 70 1

40 Are the two quantities proportional? If so, what is the constant of proportionality?
Mathematics
1 answer:
Gwar [14]3 years ago
6 0
Lemon Juice (cups)    5    10    20
Servings                   35     70  140

The two quantities are proportional. Lemon Juice (cups) is the x-value ; while servings is the y-value.

  35 ÷   5 = 7
  70 ÷ 10 = 7
140 ÷ 20 = 7

The constant of proportionality is 7.

The equation would be: y = 7x
You might be interested in
the graph of y=e^tanx-2 crosses the x axis at one point in the interval [0,1]. What is the slope of the graph at this point? I g
Svetlanka [38]
Y = e^tanx   -   2

To find at which point it crosses x axis we state that y= 0

e^tanx   - 2 = 0 
e^tanx = 2
tanx = ln 2
tanx = 0.69314
x = 0.6061

to find slope at that point first we need to find first derivative of funtion y.

y' = (e^tanx)*1/cos^2(x)

now we express x = 0.6061 in y' and we get:
y' = k = 2,9599
3 0
3 years ago
For any linear function f(x) = mx + b, when does 5f(x) = f(5x)?
S_A_V [24]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
Savana has read 4 pages in her new book. Carlos has read 4 times as many pages as savana. How many pages has Carlos read? I
kiruha [24]
4 x 4 = 16

Savanas pages read times 4 gives you Carlos pages.
4 0
3 years ago
What is the length of YZ?
Bogdan [553]

Answer: C

Hello,

Step-by-step explanation:

WZ=7-3=4

YW²=XW*WZ=3*4=12 ==> WY=2√3

In the right triangle YWZ, using the Pythagorean's theorem:

YZ²=WY²+WZ²=12+4²=28

YZ=2√7≅5.29150....

Answer C

3 0
3 years ago
A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If peanuts cost $4.00 per
laiz [17]

Answer:

3lbs of Cashews

Step-by-step explanation:

lbs of Cashews, and 7 lbs of Peanuts

$4.00P + 6.50C = ($4.75/lbs)(10lbs)

$4.00(7) + $6.50(3) = $47.50

$28.00 + $19.50 = $47.50

$47.50 = $47.50

Therefore it's 3lbs of Cashews

8 0
3 years ago
Read 2 more answers
Other questions:
  • Hey can yall help me in dis rq
    14·1 answer
  • Next consider a different scenario. Instead of Mexico experiencing rapid economic growth suppose that Canada experiences rapid a
    9·2 answers
  • Find the value of x that makes m<br> m<br> n<br> (2x + 20)<br> (32°
    12·1 answer
  • The U.S Census Brureau has a population clock on the internet.On a recent day the United States population was listed as 310,763
    14·1 answer
  • How would i do this and whats the answer
    12·1 answer
  • Can someone please help me on this
    7·1 answer
  • Help me pls this is hard
    5·2 answers
  • 52% of what number of 109
    11·2 answers
  • 6x^3 +8x^2 – 4x<br> I need help now ‼️‼️‼️‼️‼️‼️
    9·1 answer
  • Simplify the mathematical expression below. ​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!