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Nikitich [7]
3 years ago
5

The sum of seven and the product of two and a number x

Mathematics
1 answer:
nlexa [21]3 years ago
5 0

Answer:

<h3>           7 + 2x</h3>

Step-by-step explanation:

the product of two and a number x is 2•x

so the sum of <u>seven</u> and the product of two and a number x is:

7 + 2x

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The length of a string is L inches. Samantha cuts it into two unequal pieces such that the length of the small piece is 35% of L
skelet666 [1.2K]

Answer:

The shorter piece   x  =  8.4 in

The longer one    y  =  15.6 in

Step-by-step explanation:

If we cut  a string length  L  in to unequal  pieces we get two pieces

first one with length  x  and the other one with length  y

Let call  x  the smaller piece,  then   y = L  -  x will be the longer one

If   x  =  35 %    then

x  =  0,35* L     and

y = L -  x  =  L - 0,35*L      ⇒  y  =  0,65 L     ⇒ y  =  0.65*24

Now if L  =  24  in

x  =  0,35*24          ⇒               x = 8.4 in

and

L  -  x  =  0.65*L      ⇒       L - x  =  0.65*24     y  =  L  -  x  =  15.6 in

as way of verification you can add the length of the two pieces and find:

8.4  +  15.6  = 24 in

4 0
3 years ago
How many 10s are in a 20​
Nina [5.8K]

Answer: 2

This question is asking you to divide 20 by 10. This means:

20 ÷ 10=2

If 10 can go into a number 2 times, it means that 10•2=20. So, since we dont know how many times 10 goes into 20, we divide 20 by 10.

Below I have attached an image of the long division in case you need to do that as well.

Hope this helps comment below for more questions :)

4 0
3 years ago
Read 2 more answers
A 0.34 kg ball is attached to the end of a cord of length 1.1 m. The ball is whirled in a circular path in a horizontal plane. T
Aleks04 [339]

Answer:

12.86 m/s

Step-by-step explanation:

Centripetal acceleartion formula:

F=m.(\frac{v^{2} }{r})\\

v=\sqrt{(\frac{F.r}{m}) }\\

v = \sqrt{\frac{51.1 N * 1.1 m}{0.34 kg} } \\

v = 12.86 \frac{m}{s\\}\\

4 0
3 years ago
Please help me I am having a hard time with this activity
zysi [14]

Answer:

Step-by-step explanation:

b.

\frac{a^2+6a+9}{a^2-9} *\frac{3a-9}{a+3} \\=\frac{a^2+2*a*3+3^2}{a^2-3^2} *\frac{3(a-3)}{a+3} \\=\frac{(a+3)^2}{(a+3)(a-3)} *\frac{3(a-3)}{a+3} \\=\frac{3(a+3)^2}{(a+3)^2} \\=3

d.

\frac{3x^2-6x}{3x+1} *\frac{x+3x^2}{x^2-4x+4} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{x^2-2x-2x+4} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{x(x-2)-2(x-2)} \\=\frac{3x(x-2)}{3x+1} *\frac{x(1+3x)}{(x-2)(x-2) } \\=\frac{3x^2}{x-2)}

e.

\frac{2x^2-10x+12}{x^2-4} *\frac{2+x}{3-x} \\=\frac{2[x^2-5x+6]}{x^2-2^2} *\frac{2+x}{-(-3+x)} \\=\frac{2[x^2-2x-3x+6]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2[x(x-2)-3(x-2)]}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2(x-2)(x-3)}{(x+2)(x-2)} *\frac{x+2}{-(x-3)} \\=\frac{2}{-1} \\=-2

k.

\frac{6x^2-11x-10}{6x^2-5x-6} *\frac{6-4x}{25-20x+4x^2} \\=\frac{6x^2-15x+4x-10}{6x^2-9x+4x-6} *\frac{-4x+6}{4x^2-10x-10x+25} \\=\frac{3x(2x-5)+2(2x-5)}{3x(2x-3)+2(2x-3) } *\frac{-2(2x-3)}{2x(2x-5)-5(2x-5)} \\=\frac{(2x-5)(3x+2)}{(2x-3)(3x+2)} *\frac{-2(2x-3)}{(2x-5)(2x-5)} \\=\frac{-2}{2x-5}

7 0
3 years ago
The inventory of a store 2 years ago was worth $45,000. This year it is
Mekhanik [1.2K]

Answer:

I'm most certain it is 8.89

Step-by-step explanation:

the formula:

((y2 - y1) / y1)*100 = your percentage change

(where y1=start value and y2=end value)

((49.000 - 45.000) / 45.000) * 100 = 8.89 %

7 0
3 years ago
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