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
zaharov [31]
3 years ago
7

the table below shows a proportional relationship fill in the missing values servings 12 ,4 16 ,8 ounces 21 ? ? ? please help wi

ll maemrk brainest explain ​
Mathematics
1 answer:
Karolina [17]3 years ago
3 0

Answer: the missing values are 7, 28 and 14

Step-by-step explanation:

In a proportional relationship, there is a constant relationship between the given variables. Thus, for any change in the value of one variable, there is a corresponding change in the value of the other variable.

The table shows a proportional relationship between values of servings

12 ,4 16 ,8

and values of ounces

21 ? ? ?

Let the missing values be x, y and z

Therefore,

21/12 = x/4

1.75 = x/4

x = 4 × 1.75

x = 7

21/12 = y/16

y = 16 × 1.75 = 28

21/12 = z/8

z = 1.75 × 8 = 14

You might be interested in
A pile of 15 boxes is 3 metres high. What is the depth of each box?
schepotkina [342]

Answer:

15 boxes=3m=300cm

1 box=300cm÷15

=20cm

5 0
3 years ago
Read 2 more answers
What is 1/2=1/2c-2 plz show work
KatRina [158]

1/2   =     1/2c      -        2

+2                      +       2

2.5   =   1/2c

-----        -----

1/2          1/2

5=c


3 0
3 years ago
Need help on this! Please help
Olegator [25]

Answer:

PDR= 127

Step-by-step explanation:

3 0
3 years ago
Gas is escaping from a spherical balloon at the rate of 12 ft3/hr. At what rate (in feet per hour) is the radius of the balloon
bija089 [108]

Answer:

This is the rate at which the radius of the balloon is changing when the volume is 300 ft^3 \frac{dr}{dt}=-\frac{3}{225^{\frac{2}{3}}\pi ^{\frac{1}{3}}} \:\frac{ft}{h}  \approx -0.05537 \:\frac{ft}{h}

Step-by-step explanation:

Let r be the radius and V the volume.

We know that the gas is escaping from a spherical balloon at the rate of \frac{dV}{dt}=-12\:\frac{ft^3}{h} because the volume is decreasing, and we want to find \frac{dr}{dt}

The two variables are related by the equation

V=\frac{4}{3}\pi r^3

taking the derivative of the equation, we get

\frac{d}{dt}V=\frac{d}{dt}(\frac{4}{3}\pi r^3)\\\\\frac{dV}{dt}=\frac{4}{3}\pi (3r^2)\frac{dr}{dt} \\\\\frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}

With the help of the formula for the volume of a sphere and the information given, we find r  

V=\frac{4}{3}\pi r^3\\\\300=\frac{4}{3}\pi r^3\\\\r^3=\frac{225}{\pi }\\\\r=\sqrt[3]{\frac{225}{\pi }}

Substitute the values we know and solve for \frac{dr}{dt}

\frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}\\\\\frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2} \\\\\frac{dr}{dt}=-\frac{12}{4\pi (\sqrt[3]{\frac{225}{\pi }})^2} \\\\\frac{dr}{dt}=-\frac{3}{\pi \left(\sqrt[3]{\frac{225}{\pi }}\right)^2}\\\\\frac{dr}{dt}=-\frac{3}{\pi \frac{225^{\frac{2}{3}}}{\pi ^{\frac{2}{3}}}}\\\\\frac{dr}{dt}=-\frac{3}{225^{\frac{2}{3}}\pi ^{\frac{1}{3}}} \approx -0.05537 \:\frac{ft}{h}

7 0
4 years ago
Answer and explanation please?? #6
Dafna1 [17]
The answer would be C .
4 0
4 years ago
Read 2 more answers
Other questions:
  • Jack rides A bike 8 miles and 3/4 of an hour . Use Vocabulary for unit rates and fractions to explain how to find jacks speed in
    8·1 answer
  • Log (x) + log (x + 5) = log (6 x + 12) <br><br> I need the answer asap
    6·2 answers
  • Tessa solves the equation below by first squaring both sides of the equation HELP PLEASE
    8·1 answer
  • PLEASE DONT GET IT WRONG, IF I GET THIS ONE WRONG I FAIL
    6·2 answers
  • Find the equation of the line<br> Perpendicular to y=2/3x+2 and passes through the point (3,4)
    6·1 answer
  • Jim types 1800 words in 25 minutes. How many words does he type per minute
    7·1 answer
  • 13 x 24 = <br> pleze go very fast or i mite fale
    5·1 answer
  • a company sells circular mirrors. the price P pounds is proportional to the square of its radius r cm. a mirror with radius 20cm
    11·1 answer
  • Dentify all the pairs of vertical angles in the figure.<br><br> Pair#1:<br><br> Pair#2
    10·1 answer
  • I can’t figure this out I need help. I’ve been stuck on it for about an hour and a half.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!