The price has changed from $120 to $75. by how many percent did it change?

Find

shepuryov [24]

Answer:

The two odd numbers are 15 and 17

Step-by-step explanation:

Given

Let the odd numbers be represented with x and y

Let x be the greater number

$x + 5y = 92$

Required

Find x and y

Since x and y are consecutive odd numbers and x is greater, then

$x = y + 2$

Substitute y + 2 for x in $x + 5y = 92$

$y + 2 + 5y = 92$

Collect Like Terms

$y + 5y = 92 - 2$

$6y = 90$

Divide both sides by 6

$\frac{6y}{6} = \frac{90}{6}$

$y = \frac{90}{6}$

$y = 15$

Substitute 15 for y in $x = y + 2$

$x = 15 + 2$

$x = 17$

Hence; the two odd numbers are 15 and 17

4 0

3 years ago

I need these numbers in scientific notation, please! Thank you!

Shkiper50 [21]

$\text{The scientific notation:}\\\\a\cdot10^k\ \text{where}\ 1\leq a$

$18.4\ m=1.84\cdot10\ m\\\\0.000000000172\ g=0\underbrace{.0000000001}_{10\to}72=1.72\cdot10^{-10}\ g\\\\4292000\ s=4\underbrace{292000}_{\leftarrow6}\ s=4.292\cdot10^6\ s\\\\8.3\ \cdot10^{-4}\ m\\\\1.496\cdot10^8\ m\\\\23.1\cdot10^{-3}\ kg=2.31\cdot10\cdot10^{-3}\ kg=2.31\cdot10^{-2}\ kg$

4 0

3 years ago

30,49,30,44,40,35 Mean: Mode: Media: Range:

Otrada [13]

Answer:

mean:38

mode:30

median:37.5

range:19

Step-by-step explanation:

7 0

3 years ago

Which expression is equivalent to m² - 13m - 30?

igor_vitrenko [27]

Answer:

$(m−15)(m+2)$

Step-by-step explanation:

$m² - 13m - 30?$

Formula :

${x}^{2} +bx+c$

$(m−15)(m+2)$

<h3>Hope it is helpful...</h3>

3 0

3 years ago

ABCDE is a regular pentagon.

LiRa [457]

Part (A)

We have n = 5 sides, so the measure of any exterior angle of a regular pentagon is E = 360/n = 360/5 = 72

Each interior angle is therefore 180-E = 180-72 = 108 degrees.

---------------

Alternatively, you could use the formula below with n = 5

i = interior angle

i = 180(n-2)/n

i = 180(5-2)/5

i = 180(3)/5

i = 540/5

i = 108

---------------

<h3>Answer: 108 degrees</h3>

====================================================

Part (B)

We're told that CDF is 70 degrees. From part (A) we know that angle CDE is 108 degrees, so this must mean that angle EDF is 108-70 = 38 degrees.

Similarly, angle FEA is 85 degrees, which subtracts from angle AED to get 108 - 85 = 23 degrees. This is the measure of angle DEF.

So far we found

angle EDF = 38

angle DEF = 23

Let's call these x and y for shorthand. Let z be the missing third angle of triangle DFE.

So,

x+y+z = 180

38+23+z = 180

61+z = 180

x = 180-61

x = 119

Interior angle DFE is 119 degrees.

Note how 90 < x < 180 showing we have an obtuse angle. It is not a reflex angle because the statement 180 < x < 360 is false.

So we subtract the value of x from 360

360-x = 360-119 = 241

This is the reflex angle DFE

---------------

<h3>Answer: 241 degrees</h3>

8 0

3 years ago