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4 years ago

What number is midway between 2/5 and 1?

Mathematics

2 answers:

jeka57 [31]4 years ago

5 0

4/10 and 10/10:

7/10.

snow_lady [41]4 years ago

4 0

Answer: $\frac{7}{10}$

Step-by-step explanation:

To find the mid point 'c' between any two numbers 'a' and 'b' we apply the following rule:-

$c=\frac{a+b}{2}$

Now, the number is midway between 2/5 and 1 will be given by :-

$\c=\frac{\frac{2}{5}+1}{2}\\\\\Rightarrow\ c=\frac{\frac{7}{5}}{2}....\text{[by taking LCM]}\\\\\Rightarrow\ c=\frac{7}{2\times5}\\\\\Rightarrow\ c=\frac{7}{10}$

Hence, the number is midway between 2/5 and 1 = $\frac{7}{10}$

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To furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tabl

Free_Kalibri [48]

Answer:

A. 6

Step-by-step explanation:

Let n represent number of tables.

We have been given that to furnish a room in a model home, an interior decorator is to select 2 chairs and 2 tables from a collection of chairs and tables in a warehouse that are all different from each other. There are 5 chairs in the warehouse and if 150 different combinations are possible.

Since 2 chairs are being selected from 5 chairs, so we can choose 2 chairs in $5C2$ ways.

There are n tables and we can choose 2 tables from n table in $nC2$ ways.

We can represent our given information in an equation as:

$5C2\times nC2=150$

$\frac{5!}{2!(5-2)!}\times \frac{n!}{2!(n-2)!}=150$

$\frac{5*4*3!}{2*1*3!}\times \frac{n!}{2!(n-2)!}=150$

$10\times \frac{n!}{2!(n-2)!}=150$

$\frac{n!}{2!(n-2)!}=15$

$\frac{n!}{2*1*(n-2)!}=15$

$\frac{n*(n-1)*(n-2)!}{2*(n-2)!}=15$

$\frac{n(n-1)}{2}=15$

$n(n-1)=30$

$n^2-n=30$

$n^2-n-30=0$

$n^2-6n+5n-30=0$

$n(n-6)+5(n-6)=0$

$(n-6)(n+5)=0$

$(n-6)=0\text{ (or) }(n+5)=0$

$n=6\text{ (or) }n=-5$

Since tables cannot be negative quantity, therefore, 6 tables are in the warehouse.

8 0

3 years ago

Which function below translate f(x)=x^2 left 5 units and down 1 unit?

Verdich [7]

Your answer will b D

7 0

3 years ago

Read 2 more answers

How many 1/3 lb bags of trail mix can josh make from 5/6 lb of trail mix?

PSYCHO15rus [73]

the large bag is 5/6 lb, the smaller bags will be 1/3 lb, so it should be 5/6 ÷ 1/3

$\bf \cfrac{5}{6}\div \cfrac{1}{3}\implies \cfrac{5}{\underset{2}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{1}\implies \cfrac{5}{2}\implies 2\frac{1}{2}$