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3 years ago

8

For Home Economics class, Sandra has 5 cups of flour. She made 3 batches of cookies that each used 1.5 cups of flour. Write and

solve an expression to find the amount of flour Sandra has left after making the 3 batches of cookies.

1 answer:

Lemur [1.5K]3 years ago

6 0

Sandra has .5 of flour left after making 3 batches of cookies

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Solve the simultaneous equations. You must show all your working to find x and y. 1/2x -3y = 9 5x y + y = 28

Anastaziya [24]

<em>The right question is:</em>

$\frac{1}{2}x - 3y = 9$

$5x + y = 28$

Answer:

<em></em> $x = 6$ <em> </em>

$y = -2$ <em></em>

<em></em>

Step-by-step explanation:

Given

$\frac{1}{2}x - 3y = 9$

$5x + y = 28$

Required

Solve for x and y

Make y the subject of formula in the second equation

$y = 28 - 5x$

Substitute $y = 28 - 5x$ in the first equation

$\frac{1}{2}x - 3(28 - 5x) = 9$

Open the bracket

$\frac{1}{2}x - 3*28 - 3*- 5x = 9$

$\frac{1}{2}x - 84 + 15x = 9$

Collect Like Terms

$\frac{1}{2}x + 15x = 9+ 84$

$\frac{x}{2} + 15x = 9+ 84$

$\frac{x+30x}{2} = 93$

$\frac{31x}{2} = 93$

Multiply both sides by 2

$2 * \frac{31x}{2} = 93 * 2$

$31x = 186$

Divide both sides by 31

$\frac{31x}{31} = \frac{186}{31}$

$x = \frac{186}{31}$

$x = 6$

Recall that $y = 28 - 5x$

So;

$y = 28 - 5 * 6$

$y = 28 - 30$

$y = -2$

Hence;

<em></em> $x = 6$ <em> and </em> $y = -2$ <em></em>

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3 years ago

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2^12 - 2^9 would equal 3,584

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FinnZ [79.3K]

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2 years ago

5 less than one fourth of x is y

alexgriva [62]

5 less = 5 minus
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3 years ago

Evaluate bd for a = 5, b = -2, c = 4 and d = -6. user: perform the indicated operation. (-50) �� (-2) user: perform the indicate

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Assuming that the missing operations are multiplication as it is with the first question "bd", then the answer would be as follows:

1.) Simply substitute the values of b and d before multiplying.

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3 years ago