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1 year ago

Solve for x in the equation p(m+qx)=rx+n

1 answer:

6 0

$p(m+qx)=rx+n\\\\\implies pm+pqx = rx+n\\\\\implies pqx-rx = n-pm\\\\\implies x(pq -r) = n-pm\\\\\implies x = \dfrac{n-pm}{pq-r}$

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Is it A) , B) , C), D) , E)

Mrac [35]

Answer:

Part A) The statement is True

Part B) The statement is False

Part C) The statement is True

Part D) The statement is True

part E) The statement is False

Step-by-step explanation:

Part A) we have

$1.66..=1 \frac{6}{9}$

The statement Is True

Convert the repeating decimal 1.66.. to an equivalent fraction

Let

$x=1.66..\\ 10x=16.66..\\ 10x-x=16.66..-1.66..\\ 9x=15\\ x=15/9$

Convert to mixed number

$15/9=9/9+6/9=1 \frac{6}{9}$

therefore

$1.66..=1 \frac{6}{9}$

Part B) we have

$0.6 < 6\%$

The statement is false

Because

$6\%=6/100=0.06$

substitute

$0.6 < 0.06$ -----> is not true

Part C) we have

$45\% \leq4.5$

The statement is True

Because

$45\%=45/100=0.45$

substitute

$0.45 \leq4.5$ ----> is true

Part D) we have

$5^{2} \geq 16$

The statement is True

Because

$5^{2}=25$

substitute

$25 \geq 16$ ----> is true

Part E) we have

$9.25 > 9\frac{3}{4}$

The statement is false

Because

Convert mixed number to an improper fraction

$9\frac{3}{4}=\frac{9*4+3}{4}=\frac{39}{4}$

Convert decimal number to an improper fraction

$9.25=9\frac{1}{4}=\frac{9*4+1}{4}=\frac{37}{4}$

substitute

$\frac{37}{4} > \frac{39}{4}$ -----> is not true

8 0

2 years ago

Answer please and explain

uranmaximum [27]

Answer:

18.84956, 18.84 if rounded to the nearest hundredth, and 18 if rounded to nearest whole number.

8 0

2 years ago

Read 2 more answers

A used car dealership categorizes its salespeople by the number of cars sold per year, with the categories being 0-8, 9-16, 17-2

3241004551 [841]

The missing data was <span>2, 31, 29, 5, 14, 7, 10, 25, 3, 22.

0 - 8 </span>⇒ 2, 5, 7, 3 ⇒ 4
9 -16 ⇒ 14, 10 ⇒ 2
17 -24 ⇒ 22 ⇒ 1
25 and more ⇒ 31, 29, 25 ⇒ 3

There were 2 sales people who were in the 9-16 category.

7 0

2 years ago

X3 = 125<br> What is the anwser

asambeis [7]

41.67x3=125 hope it helps

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2 years ago

Read 2 more answers

What is the weight, in kg, shown by the arrow on the scale below?

Licemer1 [7]

0.8 kg
0.4 kg
1.2 kg
1.6 kg

6 0

2 years ago