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3 years ago

Please answer all please

Mathematics

1 answer:

alekssr [168]3 years ago

4 0

2. n, 5n and 2n; 2m and 6m
3. 2g, 3g and g
4. 7x2, 3x2 and y2; x and 3x; 2 and 3
6. v + w + 10
7. 6c2 + c
8. 4z +3e +5
10. 3a + 5a + 4a
11. perimeter of square = 4s = (4)(6x) = 24x, the answer is C
12. perimeter of rectangle = 2L+2W = 2(4x+5) + 2(8x-4) = 8x + 10 + 16x - 8 = 24x + 2 the answer is letter D

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<img src="https://tex.z-dn.net/?f=100%5E%7Bm%7D" id="TexFormula1" title="100^{m}" alt="100^{m}" align="absmiddle" class="latex-f

Ivahew [28]

Answer:

Step-by-step explanation:

hello :

100^m / 1000^n

look : 100 = 10² and 1000 = 10^3

so : 100^m = (10²)^m= 10^2m and 1000^n = ( 10^3)^n = 10^3n

100^m / 1000^n = 10^2m / 10^3n

conclusion : 100^m / 1000^n = (10^(2m-3n)) when : z = 2m-3n

6 0

3 years ago

26 over 99 in lowest terms

Zolol [24]

it stays the same, its already simplified.

7 0

3 years ago

4 more than the quotient of -3 and a number n is 12

serg [7]

Answer:

(-3/n)+4=12

Hope this helps

4 0

3 years ago

Simplify the quotient 4.5 x 10^3/9 x 10^7 . Write your answer in scientific notation. Show your work.

astra-53 [7]

4.5*10^3/9*10^7=4.5/9*10^3*10^7=0.5*10^3*10^7. a^b*a^c=a^(b+c), so 10^3*10^7=10^(3+7)=10^10. 0.5*10^10=5*10^9, since we want to write in scientific notation where the leading number is bigger than one and smaller than 10.

8 0

2 years ago

A certain triangle has a perimeter of 3084 mi. The shortest side measures 76 mi less than the middle side, and the longest side

kari74 [83]

shortest side: 851

middle side:927

longest side : 1306

Explanation

Step 1

Let

x represents the shortest side

y represents the middle side

z represents the longest side

so, set the equations

a) the perimeter of a rectangle is the sum of the sides, so

$\begin{gathered} \text{Perimeter= side1+side2+side3} \\ replace \\ 3084=x+y+z \\ x+y+z=3084\Rightarrow\text{ Equation(1)} \end{gathered}$

b) The shortest side measures 76 mi less than the middle side( in other words, you have to subtract 76 from middle side to get the shortest side)

$x=y-76\Rightarrow equation(2)$

c) and the longest side measures 379 mi more than the middle side,( in other words, you have to add 379 to middle side to obtain the longest side)

$z=y+379\Rightarrow equation(3)$

Step 2

solve the equations

a) now, replace the x an z value sfrom equation (2) and (3) into equation(1)

$\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ (y-76)+y+(y+379)=3084 \\ -76+3y+379=3084 \\ 303+3y=3084 \\ 3y=3084-303 \\ \\ 3y=2781 \\ \text{divide both sides by 3} \\ \frac{3y}{3}=\frac{2781}{3} \\ y=927 \end{gathered}$

now, replace the y value in equatino (2) to find x

$\begin{gathered} x=y-76\Rightarrow equation(2) \\ x=927-76 \\ x=851 \end{gathered}$

c) finally, prelace x and y value in equation (1) to find z

$\begin{gathered} x+y+z=3084\Rightarrow\text{ Equation(1)} \\ 851+927+z=3084 \\ \text{add like terms} \\ 1778+z=3084 \\ \text{subtract 1778 in both sides} \\ 1778+z-1778=3084-1778 \\ z=1306 \end{gathered}$

shortest side: 851

middle side:927

longest side : 1306

I hope this helps you

4 0

10 months ago