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Scorpion4ik [409]
3 years ago
14

Find two consecutive even integers such that the sum of the larger and twice the smaller is 62

Mathematics
1 answer:
zysi [14]3 years ago
6 0
2 consecutive even integers....x and x + 2

(x + 2) + 2x = 62
3x + 2 = 62
3x = 62 - 2
3x = 60
x = 60/3
x = 20

x + 2 = 20 + 2 = 22

ur 2 numbers are 20 and 22
You might be interested in
Simplify this expression: -2x + 3 – (5 – 6x). Can someone pls explain how to do this dont just give the awnser
Verizon [17]

Answer:

-2x + 3 – (5 – 6x) = 4x - 2

Step-by-step explanation:

The given expression is :

-2x + 3 – (5 – 6x)

We need to simplify the above expression. First opening the brackets.

-2x + 3 – (5 – 6x) = -2x + 3 – 5 + 6x

Taking like terms together,

= -2x+6x + 3 -5

= 4x - 2

So, the simplified expression is 4x - 2.

5 0
3 years ago
If the rectangular menu is 3 feet long by 2 feet wide , what is the area of the menu?
Bess [88]

area = length * width

       = 3 * 2

  = 6 ft ^2

4 0
3 years ago
(-7x^2+3) + (4x^2+2x-1);<br> Find the sum or difference.
ivann1987 [24]
(-7x² + 3) + (4x² + 2x - 1)

-7x² + 3 + 4x² + 2x - 1          

(-7x² + 4x²) + (3 - 1) + 2x      collect like terms

-3x² + 2x + 2     

hope this helps, God bless!
4 0
3 years ago
Consider the equation below. Log Subscript 4 Baseline (x 3) = log Subscript 2 Baseline (2 x) Which system of equations can repre
swat32

Equal expressions can be taken equal to an another variable. The system of equations representing the equation is  y = x + 3\\y = 4x + 8

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

Some properties of logarithm are:

log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1\\\\ log_a(b) + log_b(c) = log_a(c)

Log with base e = 2.71828... is written as \ln(x) simply.

Log with base 10 is written as \log(x) simply.

The given equation is:

\log_4(x+3) = \log_2(2 +x)

Adding \log_2(4) on both the sides, we get:

\log_2(4) + \log_4(x+3) =\log_2(4) +  \log_2(2 +x) \\\\log_2(x + 3) = log_2(4(2+x))\text{\: \: \: (using first and  last property listed)}\\\\x+3 = 8+4x = y(say)

The, we get two equations as:

y = x + 3\\y = 4x + 8

This is the needed system of equations.

Learn more about logarithms here:

brainly.com/question/20835449

6 0
3 years ago
The largest ball of yarn ever created has a radius of 6 feet. It took 30 years to create.
ch4aika [34]

Answer:

904.32 cubic ft

Step-by-step explanation:

To find the volume of a sphere, the formula is 4\pi\frac{r^3}{3}

First, 3.14 * 4 for 12.56.

The radius is 6, and that cubed is 216.

After that, divide 216 by 3 for 72

Then, 12.56 times 72, which gets you the final answer of  904.32 cubic ft.

(10 * 72) + (2 * 72) + (0.5 * 72) + (0.06 * 72)

720 + 144 = 864

864 + 36 = 900

900 + 4.32 = 904.32

6 0
3 years ago
Read 2 more answers
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