Least to greatest 4.3,5.5, 61/6, 15/4, 43/8

Answers

Answer 1

Answer:

It would be

15/4 < 4.3 < 43/8 < 5.5 < 61/6

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Which of the following best describes a consumer? someone who studies economics
a person who buys goods and services
a business owner who sells clothes
a farmer who sells his crops

Answers

Answer: Second option is correct.

Step-by-step explanation:

Since we have ask that

Consumer refers to those person who used to consume things like purchase goods and services for personal use.

Someone who studies economics are known as economists they are not consumers, they are known for their study of economics.

A business owner who sells clothes can be known as traders or merchants or business man but they do not consider as consumers as they don't buy goods and services but they provide all of these.

A farmer who sells his crops are known as producers instead of consumers.

So, Second option is correct.

A person who buys good and services is known as consumer.

a person who buys goods and services. Think of it this way: To consume means to eat or use something. A consumer is someone who buys things to eat or use.

Which point lies on a circle that is centered at A(-3, 2) and passes through B(1, 3)?C(-1, -2)

D(-6, 3)

E(-3, -3)

F(-2, 6)

Answers

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the center
r - the radius

$\hbox{the center: } A(-3,2) \nh=-3 \n k=2 \n \n\hbox{the equation:} \n(x+3)^2+(y-2)^2=r^2 \n \n\hbox{the circle passes through B(1,3)} \nx=1 \n y=3 \n \Downarrow \n(1+3)^2+(3-2)^2=r^2 \n4^2+1^2=r^2 \n16+1=r^2 \n17=r^2 \n \n\hbox{the equation is:} \n(x+3)^2+(y-2)^2=17$

Plug the coordinates of the points into the equation and check:
$C(-1,-2) \n(-1+3)^2+(-2-2)^2=17 \n2^2+(-4)^2=17 \n4+16=17 \n20=17 \nnot \ true \n \nD(-6,3) \n(-6+3)^2+(3-2)^2=17 \n(-3)^2+1^2=17 \n9+1=17 \n10=17 \nnot \ true$

$E(-3,-3) \n(-3+3)^2+(-3-2)^2=17 \n0^2+(-5)^2=17 \n25=17 \nnot \ true \n \nF(-2,6) \n(-2+3)^2+(6-2)^2=17 \n1^2+4^2=17 \n1+16=17 \n17=17 \ntrue$

The answer is F(-2,6).

Write −(−2z − 5y) in simplified form.

Answers

This in simplified form is 5y+2z

What is f(5) for the function f(x)=-9x-10

Answers

Step-by-step explanation:

In this form, x = 5.

so we'll substitute 5 in for x...

f(5) = -9(5) -10

f(5) = -45 -10

f(5) = -55

essentially saying, when x = 5, y = -55

A total of 584 tickets were sold for the school play. They were either adult tickets or student ticketsThe number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold

Answers

146 adult tickets were sold.
write out your equation first: x+3x=584
4x=584
x=146
Try it out 146+3(146)=584
It worked. That's the solution.

so lets divide the amount of tickets by 4 because there are 4 parts needed in this situation which equals 146 then we know our answer is 146 because the other three parts go to the kids tickets

Why is the sum of a rational number and its opposite always equal to 0

Answers

because its like saying what's 4-4=0. -4 and 4 are the same distance away from zero, so if you subtract them (or add them), it'll always end up to be zero

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