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nadya68 [22]
3 years ago
6

Use the distributive property 5(z+ 2) to rewrite this expression

Mathematics
1 answer:
Agata [3.3K]3 years ago
6 0
You have to multiply everything inside the parentheses by 5.
So it will look like this
5z+10
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the sides of a rectangle are in the ratio 2:5. if the longer side of the rectangle is 25.5 in., what are it's width, perimeter,
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Answer: The width of the rectangle is 10.2 inches, the perimeter is 71.4 inches,  the area is 260.1 inches.

Step-by-step explanation:

25.5/5=5.1

5.1*2=10.2

The width is 10.2 inches

25.5*2+10.2*2=71.4

The perimeter is 71.4 inches

20.5*10.2=260.1

The area is 260.1

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Jack and Rock agree to meet in London for the weekend. Jack travels 164 miles and Rock travels 106 miles. If Jacks rate of speed
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v=\frac{s}{t}\\\\v-velocity;\ s-distance;\ t-time\\\\v=\frac{s}{t}\to vt=s\to t=\frac{s}{v}\\---------------------\\v-Rock's\ veloocity\ (mph)\\v+8-Jack's\ velocity\ (mph)\\s_J=164\ mi-Jack's\ distance\\s_R=106\ mi-Rock's\ distance\\t_J=t_R-times\ are\ equal\\\\therefore:\frac{s_R}{v}=\frac{s_J}{v+8}\\\\subtitute\ values\ of\ distance:

\frac{106}{v}=\frac{164}{v+8}\ \ \ \ |cross\ multiply\\\\106(v+8)=164v\\\\106v+848=164v\ \ \ \ |subtract\ 106v\ from\ both\ sides\\\\848=58v\to 58v=848\ \ \ |divide\ btoh\ sides\ by\ 58\\\\v\approx14.6\ (mph)\\\\Answer:\boxed{v+8=(14.6+8)mph=22.6\ mph}
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