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natulia [17]
3 years ago
11

There are 16 red shirts and some black shirts hanging in the store. The ratio of the number of red shirts to that of black shirt

s is 2:3. If 5 red shirts are added into the box, what is the new ratio?
Mathematics
1 answer:
WITCHER [35]3 years ago
7 0

Answer:

If 5 red shirts are added into the box,    7 : 8  is the new ratio.

Step-by-step explanation:

The number of red shirts =  16

Let the number of black shirts = k

Now as the ratio of Red Shirts : Black Shirt = 2 : 3

By RATIO OF PROPORTIONALITY:

⇒\frac{16}{k}  = \frac{2}{3}

or, k = 16 \times  \frac{3}{2}   = 24

Hence, the number of Black Shirts in the Store = 24

Now, new number pf red shirts = 16 + 5 = 21

So, by the proportionality again,  ratio is

\frac{21}{24}  = 7:8

Hence, the new ratio of Red shirts : Black Shirts =  7 : 8

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The z-score tells you how many standard deviations from the mean. 

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<span>So anything within 5.4 miles of the average (29). </span>

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Answer:

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Step-by-step explanation:

The original inequality states that 1.4<√2<1.5

For the second inequality, you can think of 2-√2 as 2+(-√2).

Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.

Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.

Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.

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