The sum of a number times 6 and 5 equals 4 translate the sentence into an equation

Bill ate 1/4 pound of trail mix on his first break during a hiking trip. On his second break, he ate 1/6 pound. How many pounds

tino4ka555 [31]

Since we know that he ate 1/4 pound one time, and 1/6 another time, we have to add up the fractions.

1/4+1/6

LCM of 4 and 6 = 12

3/12 + 2/12

Add the numerators:

5/12

So, he ate 5/12 of a pound of bars in both breaks.

Hope this helps!

7 0

3 years ago

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15/10 to a mixed number

tensa zangetsu [6.8K]

First, we have to find how many times 10 goes into 15.

We can divide 15 by 10, and we will see that 10 goes into 15 1 whole time, with 5/10 left over.

Now, we can simplify!

In order to simplify, we have to find the GCF (greatest common factor) of 5 and 10. Let's list out the factors (the numbers that can be divided into 5 and 10)

1*5

1*10
2*5

The largest factor, as we can see, is 5! Let's dicide 5/10 by 5.

5/5=1
10/5=2

So, 5/10 simplifies to 1/2, and, if we bring down the whole number we found before, 15/10 is equal to 1 and 1/2! :)

We can check this answer by multiplying the whole number, 1, by the denominator, (the bottom number of a fraction) 2, and adding the numerator, (the top number of a fraction), 1.

1*2=2
2+1=3

Keep the denominator as 2.

The improper fraction is 3/2, which is equivalent to 15/10 (multiply 3/2 by 5 to see)!

So, our answer is 1 1/2.

I hope I helped! :)

3 0

3 years ago

WILL GIVE BRAINLIEST TO THE BEST ANSWER!!!! The graph below shows the price, y, in dollars, of different amounts of granola, x,

Vera_Pavlovna [14]

Well this one is very simple. It seems to give 1 lb per 4 dollars spent. So, the best way to state this mathematically is x=4y or x=4×y.

8 0

3 years ago

Three consecutive vertices of a parallelogram are (– 2, 1); (1, 0) and (4, 3). Find the coordinate of the fourth vertex and find

antiseptic1488 [7]

Answer:

D(1,4) - the fourth vertex, the area is equal to 12

Step-by-step explanation:

A(2,-1), B(1,0),C(4,3), They are consecutive, we need to find the point D, find the midpoint of AC (O)

xo= (xA+xc)/2 x0= (-2+4)/2=1

y0=(yA+yC)/2 y0= (1+3)/2=2

0(1,2)

O is the midpoint of BD, so let's find the vertex D

X0= (xB+xD)/2 1= (1+xD)/2 xD=1

y0= (yB+yD)/2 2= (0+yD)/2 yD=4

D(1,4)

the vector DA is (-2-1, 1-4)= (-3,-3)

the vector DC is (4-1, 3-4)= (3,-1)

The modul of DC is sqrt ((-3)^2+(-3)^2)= 3*sqrt2(the length of the side Dc)

The modul of DA is sqrt (3^2+(-1)^2)= sqrt10(the length of the side DA)

cosD= (-3*3+(-3)(-1))/3*sqrt2*sqrt10=-6/3*2*sqrt5=-1/sqrt5

sinD= sqrt (1- 1/5)=2/ sqrt5

S=3sqrt2*sqrt10*2/sqrt5= 12

6 0

2 years ago

A rope 5 meters long was cut into 7 equal parts. What is the length of each part?

LekaFEV [45]

Answer:

5/7 meters

Step-by-step explanation:

Take the 5 meters and divide into 7 parts

5/7 = 5/7 meters

8 0

3 years ago

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