I NEED HELP ON 4,6,7,8,9 (ALGEBRA)

What is 4/5×24/12 equal to and simplified

klasskru [66]

It should be 8/5 cause 4/5 times 24/12= 4/5 times 2/1. then u multiply.

4 0

3 years ago

Which graph shows the solution to this system of inequalities?<br> y>-1/3x+1<br> y>2x-3

Mademuasel [1]

Given:

The system of inequalities is:

$y>-\dfrac{1}{3}x+1$

$y>2x-3$

To find:

The graph of the given system of inequalities.

Solution:

We have,

$y>-\dfrac{1}{3}x+1$

$y>2x-3$

The related equations are:

$y=-\dfrac{1}{3}x+1$

$y=2x-3$

Table of values for the given equations is:

$x$ $y=-\dfrac{1}{3}x+1$ $y=2x-3$

0 1 -3

3 0 3

Plot (0,1) and (3,0) and connect them by a straight line to get the graph of $y=-\dfrac{1}{3}x+1$ .

Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of $y=2x-3$ .

The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.

Therefore, the graph of the given system of inequalities is shown below.

6 0

3 years ago

Stephanie has a homeowners insurance policy for her $355,000 home with an annual premium of $0.42 per $100 of value and a deduct

frosja888 [35]

Answer:

$0.28 per 100 of value (B)

Step-by-step explanation:

Stephanie has a homeowner insurance policy of $355,000

Annual premium = $0.42 per 100

There is a deductible of $500

Stephanie has an annual out of pocket expense of

[($355,000/100) x $0.42] + $500 = $1,991

From the question, Stephanie now wants a new deductible amount of 1000.

Let X be the new annual premium

[(355,000X) / 100] + 1000 = 1991

3550X + 1000 = 1991

3550X = 1991 -1000

3550X = 991

X = 991/3550

X = 0.2791

X = 0.28 ( approximately)

The new annual premium is $0.28 per 100 of value

5 0

3 years ago

Consider the function f(x, y) = x2 + xy + y2 defined on the unit disc, namely, D = {(x, y)| x2 + y2 ≤ 1}. Use the method of Lagr

alex41 [277]

Answer:

Answer with explanation and steps are in the following attachment.

Step-by-step explanation:

6 0

3 years ago

Jill invested $500 in an account with a compound interest rate of 6%. cheryl invests $600 in an account with a compound interest

34kurt

The time taken by Jill and Cheryl to double their money is 12 years and 18 years respectively.

<h3>What is Algebra?</h3>

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

Jill invested $500 in an account with a compound interest rate of 6%.

Cheryl invests $600 in an account with a compound interest rate of 4%.

The number of years each doubles their money. Using the relation of 72.

$\rm t = \dfrac{72}{r}$

where r is the interest rate and t be the time

The time for the Jill will be

$\rm t = \dfrac{72}{6}\\\\t = 12\\$

The time for the Cheryl will be

$\rm t = \dfrac{72}{4}\\\\t = 18\\$

More about the Algebra link is given below.

brainly.com/question/953809

4 0

2 years ago