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3 years ago

Calculate the weight gain

Mathematics

1 answer:

choli [55]3 years ago

5 0

Answer: 54

Step-by-step explanation:

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A chemical company makes two brands of antifreeze. The first brand is 65% pure antifreeze, and the second brand is 90% pure anti

Brums [2.3K]

$\bf \begin{array}{lcccl} &\stackrel{solution}{gallons}&\stackrel{\textit{\% of }}{antifreeze}&\stackrel{\textit{gallons of }}{antifreeze}\\ \cline{2-4}&\\ \textit{1st brand}&x&0.65&0.65x\\ \textit{2nd brand}&y&0.90&0.9y\\ \cline{2-4}&\\ mixture&40&0.8&32 \end{array}~\hfill \to \begin{cases} x+y&=40\\ \boxed{x}=40-y\\ \cline{1-2} 0.65x+0.9y&=32 \end{cases} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{substituting in the 2nd equation}}{0.65\left( \boxed{40-y} \right)+0.9y=32}\implies 26-0.65y+0.9y=32 \\\\\\ 26+0.25y=32\implies 0.25y=6\implies y=\cfrac{6}{0.25}\implies \blacktriangleright y=24 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{x=40-y\implies }x=40-24\implies \blacktriangleright x=16 \blacktriangleleft$

7 0

3 years ago

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3x + y = 5<br><br> 2x - 2y = -2

Vesnalui [34]

Answer:

Solving the system of equations:

x: 1

y: 2

Step-by-step explanation:

Plug it in to see if it is right, to make sure of course. Better to be safe than sorry.

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3 years ago

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What is the area of 38cm and 47cm help please

FinnZ [79.3K]

Answer:

1786

Step-by-step explanation:

Area of a rectangle = l x b

= 38 x 47

= 1786

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3 years ago

Which graph is the most appropriate to describe the height of a candle burning at a constant rate?

lianna [129]

Answer:

explanation:

When something has a constant rate of change, one quantity changes in relation to the other by a constant factor. One concrete example of this is the relation of distance rate and time

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3 years ago

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Quickly

Gemiola [76]

B(-4; 1)

3 units right → x + 3
2 units down → y - 2

B'(-4 + 3; 1 - 2) → B'(-1; -1)

6 0

3 years ago