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BaLLatris [955]
2 years ago
6

Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below th

at is a viable solution to this problem
Mathematics
1 answer:
julsineya [31]2 years ago
3 0

We can express Benjamin's age with x, we can express Luca's age as y.

x-6=2y

So, if x=12

2y=6

y=3

Therfore, Lucas is 3 years old

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The ratio of the volume of fruit juice to the volume of smoothies served at a party was 4.5 to 2.4. There were 35 liters more fr
Harrizon [31]
The volume of the smoothies served is 18.67 liters.

Given: 
volume of fruit juice = 35 liters
ratio of fruit juice to smoothies = 4.5 to 2.4

Proportion: a:b = c:d where ad = bc
a = 4.5 ; b = 2.4 ; c = 35 ; d = x

4.5 to 2.4 = 35 to x

4.5x = 35 * 2.4
4.5x = 84
4.5x/4.5 = 84/4.5
x = 18.67 volume of smoothies.

to check:
4.5(18.67) = 35*2.4
84.015 = 84

3 0
3 years ago
Michael picks three different digits from the set { } 12345 ,,,, and forms a mixed number by placing the digits in the spaces of
a_sh-v [17]

Answer:

The largest number =5 3/4

​The smallest number =1 2/5

​Required difference = 5 3/4 − 1 2/5 = 4 7/2

I could be very off. hope it helps somehow

6 0
3 years ago
Find the distance between the given points (2,8) and (7,7)
Ray Of Light [21]

Answer:

d=\sqrt{26}\approx5.0990

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula.

The distance formula is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Let (2,8) be x₁ and y₁ and let (7,7) be x₂ and y₂. Thus:

d=\sqrt{(7-2)^2+(7-8)^2}

Simplify:

d=\sqrt{5^2+(-1)^2}

Square:

d=\sqrt{25+1}

Add:

d=\sqrt{26}\approx5.0990

And that's our answer :)

6 0
3 years ago
If x = 3 cm and z = 5 cm, what is the length of y?
kherson [118]

Answer:

D.

Step-by-step explanation:

8 0
2 years ago
In a group of 25 girls, 8 ran for the cross country team, 13 are on the math league team, and 6 are on both teams. How many of t
Anna11 [10]

Answer:

10 girls are not on either team

Step-by-step explanation:

first subtract 6 from 8 to get 2 (since it's easier) because those 6 girls are on the math league team as well

next add 2 and 13 to get 15

last subtract 15 from 25 to get 10

8 0
2 years ago
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