Answer:
![\dfrac{3}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B5%7D)
Step-by-step explanation:
Let x be the number of cola bottles.
Henry picks 3 times as many smarties as cola bottles, then he picks 3x smarties.
He also picks twice as many marshmallows as smarties. Then he picks
marshmallows.
In total, there are
sweets in the bag.
Marshmallows are
of all sweets in the bag.
We now have three equations, so we can solve them.
Let's define the length of the 3 boards in terms of x:
F=x
S=2x-3
T=2
F+S+T =26
x+2x-3+2 =26
3x =26+1=27
x =27/3 = 9 feet for First section
2x-3 =18-3 = 16 feet = Second
2 = Third
9+16+2 = 27
27 is the length of the shortest piece.
Learn more about the length at
brainly.com/question/2217700
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15.
4(x-2) = 2(x-4)+2x
i used the distributive property on the parantheses to then get...
4x-8 = 2x-8+2x
I combined the like terms to then get...
4x-8 = 4x-8
+8 +8
4x = 4x
which simplifies to....
x=x
so the answer to question 15 is x=x
17.
-4(p+1) = -2(8-2p)
I used the distributive property on the parantheses....
-4p-4 = -16+4p
+4 +4
-4p = -12+4p
-4p -4p
-8p = -12
÷-8 ÷-8
p = 1.5
so the answer to question 17 is p = 1.5
hope this helps!!!!
Answer:
10 and 18
Step-by-step explanation:
a + 2b = 46
A + 2(b+8) = 46
b + 2b + 16 = 46
3b+ 16 = 46
3b = 30
b = 10
That’s the first number.
b is 10 so a is 10+8 = 18 because it’s 8 more then the other number.
b + 2a = 46
(10) + 2(18) = 46
10 + 36 = 46
46 = 46