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Troyanec [42]
3 years ago
5

A? B? C? D? Making sure I got it right

Mathematics
1 answer:
tatyana61 [14]3 years ago
3 0
I believe that the answer would be B
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Two bowls and one cup weigh 800 grams. One bowl and two cups weigh 700 grams. Find the weight of the bowl and the cup
antoniya [11.8K]

Answer:

\large \boxed{\textbf{Bowl = 300 g; cup = 200 g}}  

Step-by-step explanation:

 Let b  = the mass of a bowl  

and c = the mass of a cup  

We have two conditions:  

\begin{array}{lrcl}(1) &2b + c  & = & 800\\(2) & b + 2c & = & 700\\\end{array}

Calculations:  

\begin{array}{lrcll}(3) & 4b + 2c &=  & 1600&\text{ Multiplied (1) by 2}\\& 3b & = & 900&\text{Subtracted (2) from (3)}\\(4) & b & = & \mathbf{300}&\text{Divided each side by 3}\\ & 600 + c & = & 800&\text{Substituted (4) into (2}\\ & c & = & \mathbf{200}\\\end{array}\\\text{The mass of a bowl  is $\large \boxed{\textbf{300 g}}$ and that of a cup is $\large \boxed{\textbf{200 g}}$}

Check:

\begin{array}{rlcrl}2(300) + 200& =800 & & 300 + 2(200) & = 700\\600 + 200 & = 800& & 300 + 400 & = 700\\800 & = 800& & 700 & = 700\\\end{array}

OK.

6 0
2 years ago
What is the volume of the figure below
Over [174]
Please send a picture of the figure
8 0
2 years ago
to make fruit punch ,you need 3 cups of grape juice for every 5 cups of apple juice. if you have 15 more cups of apple juice ,ho
zepelin [54]
You'd get a total 24 cups, 3/5=9/15. 9+15=24
6 0
3 years ago
Suppose you start with a full tank of gas (14 gallons) in your truck. After driving 4 hours, you now have 2
Alex73 [517]

Answer:

  a) -3 gallons per hour

  b) y = -3x +14

Step-by-step explanation:

Rate of change is computed by dividing the amount of change by the interval over which it occurred.

<h3>a)</h3>

Here the amount of gas decreased from 14 to 2 gallons, so a decrease of 14-2 = 12 gallons. That occurred over a 4-hour period, so the rate of change is (-12 gallons)/(4 hours) = -3 gallons/hour.

__

<h3>b)</h3>

The initial amount was 14 gallons, so the equation for the line describing remaining gas will be ...

  y = -3x +14 . . . . gas in the tank after x hours

4 0
2 years ago
Give me the answers to thissss plssss rnnnn asapppp!!!!
soldier1979 [14.2K]

\\ 1. (3x ^{2}  + 2xy + 7) - (6x ^{2}  - 4xy + 3) \\  = 3x ^{2}  + 2xy + 7 - 6x ^{2}  + 4xy - 3 \\  = 3x ^{2}  -  {6x}^{2}  + 2xy + 4xy + 7 - 3 \\  =   { - 3x}^{2}  + 6xy + 4 \\ 2. \:  {9x}^{2}  - 2x + 3 - ( {4x}^{2}  + 7x - 5) \\  = 9x ^{2}  - 2x + 3 - 4x ^{2}  - 7x  + 5 \\  = {9x}^{2}  -  {4x}^{2}  - 2x - 7x + 3 + 5 \\  =  {5x}^{2}  - 9x  + 8 \\ 3. \:  {x}^{2}  - 5x + 6 \\  =  {x}^{2}  - (3 + 2)x + 6 \\   = {x}^{2}  - 3x - 2x + 6 \\  = x(x - 3) - 2(x - 3) \\  = (x - 3)(x - 2) \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment

4 0
3 years ago
Read 2 more answers
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