All categories

3 years ago

The pair of points is on the graph of an inverse variation. Find the missing value. (1.6,6) and (8,y)

Mathematics

1 answer:

____ [38]3 years ago

5 0

<h3>Answer: y = 1.2</h3>

Work Shown:

Inverse variation equations can be written in the form x*y = k for some fixed number k. Let's plug in the first point (x,y) = (1.6, 6) to compute the value of k

x*y = k

1.6*6 = k

9.6 = k

k = 9.6

Therefore the equation updates to

x*y = 9.6

Plug in x = 8 and solve for y

x*y = 9.6

8*y = 9.6

y = 9.6/8 .... divide both sides by 8

y = 1.2

You might be interested in

Theo earns a base salary plus commission. At the end of September, he was paid $3,835.25 based on his monthly sales of $12,850.

hodyreva [135]

Theo's base salary using a simultaneous equation approach is $2,996.22 .

In order to determine the base salary of Theo, we can express the two earnings and sales amounts using simultaneous equation, that we would solve to arrive at the base salary

Bear in mind that total earnings are determined as base salary plus commission

Let X be the base salary

Let R be the rate of commission

commission =sales*rate of commission

When earnings were $3,835.25 and sales is $12,850, we have the below equation:

X+(12,850*R)=3,835.25

X+12850R=3,835.25 .................... equation (1)

When earnings were $3,641 and sales is $9,875, we have the below equation:

X+(9,875*R)=3641

X+9875R=3641 ......................... equation (2)

subtract equation 2 from 1

2975R=194.25

R=194.25/2975

R=commission rate=6.52941176470588%

substitute for R in equation 1 to arrive at X(base salary)

X+(12850*6.52941176470588%)=3,835.25

X=3,835.25-(12850*6.52941176470588%)

X=base salary=$2,996.22

Find further guide on simultaneous equation in the link below:

brainly.com/question/6597041

#SPJ1

7 0

2 years ago

Leda makes 73 oatmeal muffins for a bake sale. She accidentally drops five of them and throws them away. She puts as many of the

mamaluj [8]

Answer:

3 oatmeal muffins

Step-by-step explanation:

First, subtract the 5 muffins she dropped from the total:

73 - 5

= 68

Then, divide this by 13:

68/13

= 5.23

We need a whole number of muffins in each container, so round this down to 5.

This means that there can be 5 muffins in each of the 13 containers.

Find how many will be leftover:

5(13)

= 65

68 - 65

= 3

So, there will be 3 oatmeal muffins left

5 0

3 years ago

A butcher has 10 3/4 pounds of ground beef that will be priced at 3.40 dollars per pound. He divides the meat into 8 equal packa

spin [16.1K]

Well we know that 10 and 3/4 is equivalent to 10.75. If we divide the meat into 8 equal packages we have to divide 10.75 by 8. Dividing 10.75 by 8 gives us 1.34375 pounds of meat per package. If we take that, and multiply it by our given value of $3.40 per pound, we end up getting $4.57 a package.

8 0

3 years ago

Read 2 more answers

What is the greatest common factor of 10 and 4?

cluponka [151]

Answer:

Answer: GCF of 4 and 10 is 2.

Step-by-step explanation:

pls Mark my answer in brainlist and follow me

3 0

2 years ago

Read 2 more answers

What type of sample is specifically used for gathering information about clandestine or difficult-to-identify groups

OlgaM077 [116]

Ethnographic research is the type of sample is specifically used for gathering information about clandestine or difficult-to-identify groups.

Cultures have a set of rules and beliefs about what is correct for that specific culture. Ethnocentrism is the measuring and judging of one culture by another culture. This can be either a positive or negative judgment about the difference between the beliefs of the two cultures. Ethnocentrism is also believing in the inferiority of other cultures compared to the superiority of one's own culture.

Additionally, ethnocentrism is defined by individualistic or collective cultures. Many Western cultures are individualistic; they tend to focus on what is best for the individual.

Learn more about DTI:

brainly.com/question/4313883

#SPJ4

3 0

2 years ago