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3 years ago

How much does one case cost

Mathematics

1 answer:

nadya68 [22]3 years ago

7 0

So for this we will be using a system of equations, with one equation representing Shakira's sales and the other representing Jeff's sales. Our equations are such (Let x = oranges and y = grapefruit)

$5x+8y=235\\ 3x+2y=85$

For this, I will be using the elimination method. So firstly, multiply both sides of the second equation by -4: $-12x-8y=-340$

Next, add 5x+8y=235 and -12x-8y=-340 to get -7x = -105 . From here we can solve for x.

For this, just divide both sides by -7, and your answer is going to be x = 15.

Now that we know what x is, just substitute x for 15 in either equation to solve for y. For this I will be using the second equation.

$3(15)+2y=85\\ 45+2y=85\\ 2y=40\\ y=20$

Since we know that oranges cost $15 and grapefruit cost $20, just add them together to get your answer, which is $35.

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liberstina [14]

Answer:

Han's younger sister accelerated at a rate of 0.5 meters per square second during that time.

Step-by-step explanation:

Let suppose that Han's younger sister accelerates at constant rate, then, acceleration ( $a$ ), measured in meters per square second, can be calculated by the following equation:

$a = \frac{v_{f}-v_{o}}{t_{f}-t_{o}}$

Where:

$t_{o}$ , $t_{f}$ - Initial and final times, measured in seconds.

$v_{o}$ , $v_{f}$ - Initial and final speeds, measured in meters per second.

If we know that $t_{o} = 3\,s$ , $t_{f} = 5\,s$ , $v_{o} = 0.5\,\frac{m}{s}$ and $v_{f} = 1.5\,\frac{m}{s}$ , the acceleration of the younger sister is:

$a = \frac{1.5\,\frac{m}{s}-0.5\,\frac{m}{s} }{5\,s-3\,s}$

$a = 0.5\,\frac{m}{s^{2}}$

Han's younger sister accelerated at a rate of 0.5 meters per square second during that time.

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3 years ago

Write a equation that is parallel to 5x-y=4

ozzi

Let's have this equation equal y first. All we have to do is add y to both sides and subtract 4 from both sides.
5x-4=y
Now, to get a parallel line, the y intercept has to change. The y intercept (the -4 in the equation) can be an infinite amount of number but -4.
Let's choose 6. We would have 5x+6=y or you could put it in the way the other equation was, 5x-y=-6.

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4 years ago

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Zepler [3.9K]

Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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3 years ago

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Bas_tet [7]

The answer to this math problem is 20

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4 years ago

Read 2 more answers