Ask question

Ask question

All categories

3241004551 [841]

2 years ago

10

Florencia cannot spend more than $60 on clothes. She wants to buy jeans for $22 and spend the rest on shirts. Each shirt (s) cos

ts $8. Write an inequality to describe this situation.

1 answer:

PIT_PIT [208]2 years ago

6 0

Answer:

22 + 8x < or = 60

Step-by-step explanation:

This inequality shows that Florencia can buy the jeans plus shirts as long as it is equal to or less than 60 dollars.

You might be interested in

Which angles are neither obtuse angles nor acute angles?

sleet_krkn [62]

Answer:

A right angle is neither Obtuse nor Acute

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

True or false The opposite of a number is always positive

irakobra [83]

False because if the number was positive the opposite of that would be negative

6 0

3 years ago

Read 2 more answers

Find an equation for the nth term of the arithmetic sequence.<br> -1, 2, 5, 8, ...

aev [14]

-1 + 3(n-1)
hope this helps you

3 0

3 years ago

Read 2 more answers

Need help with homework

motikmotik

We have two points describing the diameter of a circumference, these are:

$\begin{gathered} A=(-12,-4) \\ B=(-4,-10) \end{gathered}$

Recall that the equation for the standard form of a circle is:

$(x-h)^2+(y-k)^2=r^2$

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.

For this we use the following equation:

$M=(\frac{x_1+x_2_{}_{}}{2},\frac{y_1+y_2}{2})$

Now, we replace and solve:

$\begin{gathered} M=(\frac{-12+(-4)}{2},\frac{-4+(-10)}{2} \\ M=(\frac{-12-4}{2},\frac{-4-10}{2}) \\ M=(\frac{-16}{2},\frac{-14}{2}) \\ M=(-8,-7) \end{gathered}$

The center of the circle is (-8,-7), so:

$\begin{gathered} h=-8 \\ k=-7 \end{gathered}$

On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:

$r^2=\Delta x^2+\Delta y^2$

In this case, we will solve the delta with the center coordinate and the B coordinate.

$\begin{gathered} r^2=((-4)-(-8))^2+((-10)-(-7)) \\ r^2=(-4+8)^2+(-10+7)^2 \\ r^2=4^2+(-3)^2 \\ r^2=16+9 \\ r^2=25 \\ r=5 \end{gathered}$

Therefore, the equation for the standard form of a circle is:

$\begin{gathered} (x-(-8))^2+(y-(-7))^2=25 \\ (x+8)^2+(y+7)^2=25 \end{gathered}$

In conclusion, the equation is the following:

$(x+8)^2+(y+7)^2=25$

4 0

1 year ago

Prove that the figure is a parallelogram. If so, classify the parallelogram. Be specific and justify your answer.

sesenic [268]

Answer:

Step-by-step explanation:

If it is a parallelogram the opposite sides will a have the same slope.

Using the diagram we see from the coordinates of A and B:

Slope of AB = (5 - -1)/(-1 - -5)

= 6/4

= 3/2.

In the same way

slope of CD = (2 - -4) / (1 - -3)

= 3/2.

So AB and CD can be shown to be parallel.

Similarly the lines BC and AD are parallel.

So the figure is a parallelogram

Finding the perimeter (counting the units between the points):

Perimeter = 2AB + 2BC

By Pythagoras:

AB = sqrt (6^2 + 4^2) = sqrt 52

BC = sqrt (3^2 + 2^2) = sqrt 13

So Perimeter = 2sqrt52 + 2sqrt13

= 4sqrt13 + 2 sqrt13

= 6sqrt13

or 21.63 unit^2 to 2 decimal places.

Area = sqrt52 * perpendicular distance between the lines AB and CD.

8 0

3 years ago