Find the value of X and y ☺ -3/2y = -13 6X2Y = 4 by elimination

Jason has 4 gallons of hand sanitizer that contains 25% alcohol. He wants to make a hand sanitizer that contains 50% alcohol. Ho

alexandr402 [8]

Answer:

2 gallons of pure alcohol

Step-by-step explanation:

Let x represent the number of gallons of pure alcohol needed, and create an equation:

4(0.25) + x(1) = (x + 4)0.5

1 + x = 0.5x + 2

x = 0.5x + 1

0.5x = 1

x = 2

So, 2 gallons of pure alcohol should be added.

8 0

3 years ago

A tetrahedron is a triangular pyramid with 4 equilateral faces. Han has a box of tetrahedrons with each of the 4 vertices marked

Daniel [21]

Theoretically, the number of the vertex comes at the top must be equal for infinitely many numbers of trials, but it's a tedious job to roll the dice for a large number of times. Rolling the tetrahedron only 10 times will not predict the correct result.

Han suspects that this tetrahedron is weighted in some way to make 1 appear more often than the other numbers.

So, check his suspect experimentally with the help of the concept of center of mass. A fair tetrahedron must have the center of mass at the center of the body.

The given tetrahedron has 4 equilateral triangular faces, so at first, measure all the sides of triangular faces and make sure that all are having the same length.

Then, conduct an experiment to check the location of the center of mass.

Hang the tetrahedron by attaching a thin string at the vertex 1 as shown in the figure and observe the base surface ( triangle 234) whether it is parallel to the ground or not.

Now, repeat the same by hanging it with vertices 2, 3, and 4 and observe the base surface.

For the center of mass to be located at the center of the tetrahedron, the base must be parallel to the ground (flat ground).i.e the hanging string must be perpendicular to the base for all the four cases.

If this is so, then the tetrahedron is a fair tetrahedron otherwise not.

8 0

3 years ago

What is the volume of the cuboid in cm3 ? What is the volume of the cuboid in mm3

KengaRu [80]

Answer:

3150mm

Step-by-step explanation:

1cm is 10mm you convert it then times it together l x b x h will equal 3150

7 0

1 year ago

A pair of vertical angles have measures (2z+43)° and (−10z+25)° . What is the value of z?

Alexxx [7]

2.25 but i am not sure i hope that helps

4 0

3 years ago

10) Show that in a group of 10 people (where any two people are either friends or enemies), there are either three mutual friend

ddd [48]

Answer with explanation:

Number of People in the group =10 People

The combination between two people is that, they can be either friends or enemies.

Total number of Possible Relation

=18 +16+14+12+10+8+6+4+2

= 90 Relations in all.

Out of 90 relations , 45 will be friends and 45 will be enemies.

⇒Now, we have to prove that, between 10 people, there are either three mutual friends or four mutual enemies, and there are either three mutual enemies or four mutual friends.

→→If there are three mutual friends, total number of people in the group =3 ×2=6 people in the group

And, four mutual enemies in a group means there are 2 people in each group.

So, total number of people if we combine the two groups in which there are either three mutual friends or four mutual enemies

=6 +4

=10

Hence proved.

→→→→Second part is ,in this group there can be either three mutual enemies or four mutual friends.

⇒If there are three mutual enemies, total number of people in the group =3 ×2=6 people in the group

And, four mutual friends in a group means there are 2 people in each group.

So, total number of people if we combine the two groups in which there are either three mutual enemies or four mutual enemies

=6 +4

=10

Hence proved.

3 0

3 years ago

Find the value of X and y☺ -3/2y = -136X2Y = 4by elimination​

Find the value of X and y☺ -3/2y = -136X2Y = 4by elimination