Hey there :)
Before translating the sentence into mathematics, let r represent 'a number'
5 times a number = 5r
2 times that number = 2r
The difference between them = 5r - 2r
* Your equation
5r - 2r
* Solving the equation
= 5r - 2r
= 3r
Step-by-step explanation:
there are 2 similar triangles : ABE and DCE
that means they have the same angles, and the scaling factor from one triangle to the other is the same for every side.
and that means that
DE/AE = EC/BE (= DC/AB)
we know that
AE = AD + DE
BE = BC + EC
a.
so, we have actually
DE/(AD+DE) = EC/(BC+EC)
DE/(10+DE) = 8/(2+8) = 8/10 = 4/5
DE = 4(10+DE)/5
5DE = 4(10+DE) = 40 + 4DE
DE = 40 cm
b.
AD/DE = 3/5
BC/EC must be 3/5 too.
15/EC = 3/5
15 = 3EC/5
75 = 3EC
EC = 25 cm
Answer:
2,800 Books to be the same.
42 km/h is equal to 0.00724933 m/s
You get this by dividing the km/h speed value by 1.609 to get it to m/h, then divide that by 60, then by 60 again to get it to m/s.
Answer:
164
The 982 part seems wrong. Are you sure it isn't 981?
around 436 if I use 981 instead. 982 would give a decimal and that would be kinda weird for a part human.
Step-by-step explanation:
You can divide the 205 by 5 to simplify the ratio down. 205/5 = 41. Then you can multiply by 4 to find then number of boys.
981
So you can add the 5 and 4 together to 9 and then divide 981 by 9 to get 109. Then you can multiply by 4 to get 436.
Hope this helps!