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3 years ago

Two numbers have a ratio of 4 to 5 and the sum of the numbers is 108 what are the two numbers??

Mathematics

1 answer:

ipn [44]3 years ago

8 0

Answer: 48,60

Step-by-step explanation:

4x+5x=108

9x=108

x=108/9=12

12•4=48

12•5=60

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PLEASE HELP NOW!! If K is the set of all letters in the word “equation”, and L is the set of all letters of the word “inequality

satela [25.4K]

Answer:

e,q,u,a,t,i,n & EQUATIONYL

Step-by-step explanation:

K∩L:

First write both the words, equation and inequality down.

E Q U A T I O N

I N E Q U A L I T Y

You can see EQUATIN repeats in both of the words.

K∪L:

First write both the words, equation and inequality down.

E Q U A T I O N

I N E Q U A L I T Y

This time just write down all the letters EXCEPT the ones that repeat. EQUATIONYL

6 0

2 years ago

Find the value of C that completes the square

MatroZZZ [7]

Answer:

Step-by-step explanation:

y^2-22y+c

complete the square ax^2+bx+c is our old formula quadratic equation

we know that to find c we will divide b/2 and square it

22/2=11

c^2=121

we have y^2-22y+121

6 0

3 years ago

Which could be the first step in simplifying this expression? Check all that apply. (x cubed x Superscript negative 6 Baseline)

PtichkaEL [24]

Answer:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

Step-by-step explanation:

$(x^{3} x^{-6} )^{2}$ is the expression given to be solved.

First of all let us have a look at 3 formulas:

$1.\ p^a \times p^b = p^{(a+b)}\\2.\ (p^a \times q^b)^c = (p^{a})^c \times (q^{b})^c\\3.\ (p^a)^b = p^{a\times b}$

Both the formula can be applied to the expression( $(x^{3} x^{-6} )^{2}$ ) during the first step while solving it.

Applying formula (1):

$(x^{3} x^{-6} )^{2}$

Comparing the terms of $(x^{3} x^{-6} )$ with $p^a \times p^b$

$p=x, a =3, b=-6$

$\Rightarrow x^{3+(-6)}\\\Rightarrow x^{3-6}\\\Rightarrow x^{-3}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $(x^{-3} )^{2}$

Applying formula (2):

Comparing the terms of $(x^{3} x^{-6} )^{2}$ with $(p^a \times q^b)^c$

$p=q=x, a =3, b=-6, c=2$

$\Rightarrow (x^{3})^2\times (x^{-6})^2\\\text{Applying Formula (3)}\\x^6 x^{-12}$

So, $(x^{3} x^{-6} )^{2}$ is reduced to $x^6 x^{-12}$ .

So, the answers can be:

$(x^{-3} )^{2}$

$x^6 x^{-12}$

8 0

2 years ago

What is 0.012 in percent?

stepan [7]

Answer:

1.2%

Step-by-step explanation:

0.012 = 12/1000

to express it as %

12/1000 * 100

= 1.2%

7 0

2 years ago

Read 2 more answers

What is the relationship between sin(90 degrees) and sin(-90 degrees)

Volgvan

Answer:

$sin(90\°)=-sin(-90\°)$

Step-by-step explanation:

we know that

$sin(90\°)=1$

$sin(-90\°)=-1$

therefore

$sin(90\°)=-sin(-90\°)$

4 0

3 years ago