Help please asap I really need help

Mathematics

1 answer:

Ivanshal [37]2 years ago

4 0

It represents the prices of each item.

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Sarah,Leah,Haley and Kim bought 5 bottles of water to share among themselves. They divided each bottle of water into 4 equal por

Irina18 [472]

Answer:

Sarah have $\frac{5}{4}$ bottle of water.

Step-by-step explanation:

We are given that,

Total number of bottles = 5

As, each bottle is divided into 4 portions.

The amount of water per person = $\frac{1}{4}$

Further, Sarah took 1 portion from each bottle and there are 5 bottles.

So, the amount of water Sarah have = $\frac{1}{4}\times 5$ = $\frac{5}{4}$

Hence, Sarah have $\frac{5}{4}$ bottle of water.

5 0

2 years ago

What is −13+2z=−56 Thanks

Zinaida [17]

<h3>Original Equation:</h3>

$-\frac{1}{3}+2z=-\frac{5}{6}$

<h3>Steps:</h3>

<em>*To solve for a variable, isolate the desired variable onto one side.</em>

Firstly, we want to add 1/3 to each side however -5/6 and 1/3 do not share the same denominator, and we want them to have that and we can do that by finding the LCD, or lowest common denominator. To find the LCD, list the multiples of 6 and 3 and the lowest multiple that they share is their LCD. In this case, their LCD is 6. Multiply -1/3 by 2/2:

$-\frac{1}{3}\times \frac{2}{2}=-\frac{2}{6}\\\\-\frac{2}{6}+2z=-\frac{5}{6}$

Now that we have common denominators, add both sides by 2/6:

$2z=-\frac{3}{6}\\\\2z=-\frac{1}{2}$

Next, you want to cancel out 2 to isolate z. Usually, one would divide both sides by 2, however remember that <u>dividing by a number is the same as multiplying by it's reciprocal.</u> To find a number's reciprocal, flip the numerator and denominator around. In this case, since 2 is a <em>whole number</em> this means that the denominator is 1. In this case: 2/1 would become 1/2. Multiply both sides by 1/2:

$\frac{1}{2}\times 2z= -\frac{1}{2}\times \frac{1}{2}\\\\z=-\frac{1}{4}$