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dolphi86 [110]
3 years ago
13

Chad bought a box of raisins. he gave 1/6 of it to one brother, 1/4 to another brother, and he kept the rest for himself. what f

raction did he keep?
Mathematics
1 answer:
fenix001 [56]3 years ago
4 0
Greetings!

This can be solved by creating a simple equation.
1/4+1/6+x=1

Solve for x.
1/4+1/6+x=1
Find the LCM.
3/12+2/12+x=1
5/12+x=1
Add -5/12 to both sides.
(5/12+x)+(-5/12)=(1)+(-5/12)
Simplify.
x=1/1-5/12
Find the LCM.
x=12/12-5/12
x=7/12

He kept 7/12 of the raisins for himself.

Hope this helps.
-Benjamin
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3 years ago
The sum of two integers is 2. Their difference is 10. What are the two integers?
STALIN [3.7K]

Answer:

6 and -4

Step-by-step explanation:

a + b = 2

a - b = 10

Solve:

from the first eq.

a = 2 - b

replacing this value in the second eq.

(2-b) - b = 10

2 - 2b = 10

-2b = 10 - 2

-2b = 8

b = 8/-2

b = -4

from the second eq.

a - b = 10

a - (-4) = 10

a  + 4 = 10

a = 10 - 4

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Check:

from the first eq.

6 + (-4) = 2

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3 0
2 years ago
What is the height of a right triangle with an angle that measures 30 degrees adjacent to a base of 14
stepladder [879]

The height of the right triangle is 8.08

<h3>Calculating the height of a triangle </h3>

From the question, we are to determine the height of the described right triangle

From the given information,

The angle measure is 30 degrees adjacent to the base

and

The base is 14

Using SOH CAH TOA

Adjacent = 14

Opposite = height of the triangle

Let the height the h

∴ Opposite = h

Thus,

tan 30° = h/14

h = 14 × tan 30°

h = 8.08

Hence, the height of the right triangle is 8.08

Learn more on Calculating height of triangle here: brainly.com/question/10082088

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3 0
1 year ago
Suppose that 5 out of 13 people are to be chosen to go on a mission trip. In how many ways can these 5 be chosen if the order in
algol [13]

5 People can be chosen  in 1287 ways if the order in which they are chosen is not important.

Step-by-step explanation:

Given:

Total number of students= 13

Number of Students to be selected= 5

To Find :

The number of ways in which the 5 people can be selected=?

Solution:

Let us use the permutation and combination to solve this problem

nCr=\frac{(n)!}{(n-r)!(r)!}

So here , n =13  and r=5 ,  

So after putting the value  of n and r , the equation will be

13C_5=\frac{(13)!}{(13-5)!(5)!}

13C_5=\frac{(13 \times12 \times11 \times10 \times9 \times8\times7 \times6 \times5 \times4 \times3 \times2 \times1)}{(8 \times7 \times6 \times5 \times4 \times3 \times2 \times1)(5 \times4 \times3 \times2 \times1)}

13C_5=\frac{(13 \times12 \times11 \times10 \times9 )}{((5 \times4 \times3 \times2 \times1)}

13C_5=\frac{154440}{120}

13C_5= 1287

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Answer:

um I did the math and I got 5, so i dont really understand

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