Solve for x. angle a is 44, one side is 10

scoundrel [369]

$\frac{1+\sqrt{2}}{\sqrt{2}} = \frac{1}{\sqrt{2}} + \frac{\sqrt{2}}{\sqrt{2}} = 1 + \frac{1}{\sqrt{2}}$

3 0

3 years ago

Find two rational expressions a / b and c / d that produce the result x − 1 / x2 when using the following operations. Answers

Mars2501 [29]

Answer:

a) Let $\frac{a}{b}=\frac{-1}{x^2}, \text{ and } \frac{c}{d}=\frac{1}{x}$ .

Observe that

$\frac{a}{b}+\frac{c}{d}=\frac{-1}{x^2}+\frac{1}{x}=\frac{-x+x^2}{x^3}=\frac{x(x-1)}{xx^2}=\frac{x-1}{x^2}$

b)

Let $\frac{a}{b}=\frac{1}{x}, \text{ and } \frac{c}{d}=\frac{1}{x^2}.$

Observe that

$\frac{a}{b}-\frac{c}{d}=\frac{1}{x}-\frac{1}{x^2}=\frac{x^2-x}{x^3}=\frac{x(x-1)}{xx^2}=\frac{x-1}{x^2}$

c)

Let $\frac{a}{b}=\frac{x-1}{x}, \text{ and } \frac{c}{d}=\frac{1}{x}.$

Observe that

$\frac{a}{b}*\frac{c}{d}=\frac{x-1}{x}*\frac{1}{x}=\frac{(x-1)1}{x*x}=\frac{x-1}{x^2}$

d)

Let $\frac{a}{b}=\frac{x-1}{x}, \text{ and } \frac{c}{d}=\frac{x}{1}.$

Observe that

$\frac{a}{b}\div\frac{c}{d}=\frac{x-1}{x}\div\frac{x}{1}=\frac{x-1}{x}*\frac{1}{x}=\frac{x-1}{x^2}$

3 0

3 years ago

The school choir is going on a trip. They plan on bringing 100 total bottles of water and juice with them. Each bottle of water

jarptica [38.1K]

Answer:

40 bottles of juice

60 bottles of water

Step-by-step explanation:

let w represent water, let j represent juice. set up a system of equations:

w+2j=140

w+j=100

isolate the w by itself on the bottom equation:

w=100-j

solve the top equation by substitution, substituting 100-j for w:

w+2j=140

100-j+2j=140

100+j=140

j=40

this means that they bought 40 bottles of juice.

to find the amount of bottles of water the bought, substitute 40 for j in either of the equations (i did it in the bottom one, because it's easier):

w=100-j

w=100-40

w=60

so, they bought 60 bottles of water.

5 0

3 years ago

Quinn tried to evaluate an expression step by step. which step did she do wrong there is a selection for not mistake

harkovskaia [24]

Answer:

Quinn did not make a mistake. This is because everything she did is correct and also if we calculate the expression without doing anything she did, we see that she has the right answer.

4 0

3 years ago

Read 2 more answers

Al sumar un número entero con el doble de su sucesor, se obtiene un total de 44. ¿De qué número se está hablando?

Vlad [161]

Basado en lo que nos dieron en la pregunta podemos decir que:
1) x sea un numero entero
2)x+1 sea el numero sucesor del anterior
3) los dos seran sumados y el total de la suma es 44
4) el numero sucesor es multiplicado por dos antes de ser sumado con el numero entero

Entonces tenemos:
$x+2(x+1)=44 \\ x+2x+2=44 \\ 3x=42 \\ x=14$

En este caso el numero del cual se esta hablando es 14 para comprobar

$14+2(14+1)=44 \\ 14+2(15)=44 \\ 44=44$

7 0

3 years ago