Answer correcly / explain a lil. match them....

Mathematics

1 answer:

Vlada [557]3 years ago

6 0

Answer:

$\displaystyle \boxed{66 \times 7}\:7(60 + 6)$

$\displaystyle \boxed{97 \times 4}\:4(100 - 3)$

$\displaystyle \boxed{8(4 + 2)}\:32 + 16 = 48$

$\displaystyle \boxed{5(9 - 6)}\:(5 \times 9) - (5 \times 6)$

$\displaystyle \boxed{3(4 + 7)}\:(3 \times 4) + (3 \times 7)$

Step-by-step explanation:

According to the Order of Operations [GEMS\BOMDAS\PEMDAS etc.], you evaluate everything in parentheses first before preceding with your Division & Multiplication and Subtraction & Addition. When you do this, you will know exactly which expression corresponds with its Distributive Property expression.

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The sum of the reciprocals of two consecutive even integers is 7/24. Write an equation that can be used to find the two integers

sergejj [24]

Assume the first even integer is x.
The next even integer will be 2 digits after this digit. So the next even integer will be x+2.

The reciprocals of these two even integers can be written as $\frac{1}{x}$ and $\frac{1}{x+2}$ respectively.

The sum of their reciprocals is 7/24. So we can set up the equation as:

$\frac{1}{x}+ \frac{1}{x+2}= \frac{7}{24}$

Taking LCM on left hand side:

$\frac{x+2+x}{x(x+2)}= \frac{7}{24} \\ \\ 
 \frac{2x+2}{ x^{2} +2x}= \frac{7}{24}$

Cross Multiplying the denominators:

$24(2x+2)=7({ x^{2} +2x}) \\ \\ 
48x+48=7 x^{2} +14x \\ \\ 
7 x^{2} +14x-48x-48=0 \\ \\ 
7 x^{2} -34x-48=0 \\ \\ 

$

Using the quadratic formula to solve the above equation:
$7 x^{2} -34x-48=0 \\ \\ 
x= \frac{34+- \sqrt{1156+1344} }{14} \\ \\ 
x= \frac{34+- \sqrt{2500} }{14} \\ \\ 
x=\frac{34+-50 }{14} \\ \\ 
x=6 \\ x=- \frac{8}{7} 
$

Since, the value of x can only be an integer, we discard the fractional value and keep x=6

So the first even integer is 6 and the next even integer is 8. The sum of reciprocals of 6 and 8 is 7/24

5 0

3 years ago

1/4(2x+8) -1/5(15x-25)H=25.5

Furkat [3]

Answer:

Abracadabra

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Express to the nearest whole

Mumz [18]