0.16x^2-49, factor using special products

A woman bought some large frames for $10 each and some small frames for $5 each add a closeout sale if she bought 20 frames for

vampirchik [111]

Answer:

The quantity of large frames is 7

The quantity of small frames is 13

Step-by-step explanation:

Given as :

The price of each large frames = $ 10

The price of each small frames = $ 5

The total number of both frames bought = 20

The price for both the frames = $ 135

Now,

Let the quantity of large frames = L

And The quantity of small frames = S

So , According to question

The total number of both frames bought = 20

Or, The quantity of large frames + the quantity of small frame = 135

Or, L + S = 20 ......A

And $ 10 L + $ 5 S = $ 135 ................B

Or, $ 10× ( L + S ) = $ 10× 20

Or, $ 10 L + $ 10 S = $ 200

( $ 10 L + $ 10 S ) - ( $ 10 L + $ 5 S ) = $ 200 - $ 135

Or , ( $ 10 L - $ 10 L ) + ( $ 10 S - $ 5 S ) = $ 65

Or, 0 + 5 S = 65

∴ S = $\frac{65}{5}$

I.e S = 13

So, The quantity of small frames = S = 13

Put the Value of S in eq A

So , L + S = 20

Or, L = 20 - S

Or, L = 20 - 13

∴ L = 7

So, The quantity of large frames = L = 7

Hence The quantity of large frames is 7

And The quantity of small frames is 13 Answer

7 0

3 years ago

Enter the ordered pair for the vertices for Rx-axis(QRST).

mash [69]

Given:

The vertices of a polygon QRST are T(-2, 3), Q(1, 5), R(3, -1) and S(0, 0).

To find:

The vertices for $R_{x-axis}(QRST)$ .

Solution:

The rule $R_{x-axis}(QRST)$ represents refection of polygon QRST across the x-axis.

If a figure is reflected across the x-axis, then

$(x,y)\to (x,-y)$

Using this rule, we get

$T(-2,3)\to T'(-2,-3)$

$Q(1,5)\to Q'(1,-5)$

$R(3,-1)\to R'(3,1)$

$S(0,0)\to S'(0,0)$

Therefore, the vertices for $R_{x-axis}(QRST)$ are T'(-2, -3), Q'(1, -5), R'(3, 1) and S'(0, 0).

7 0

3 years ago

Consider the diagram below.<br> Which of the following statements is correct?

Nutka1998 [239]

Answer:

A

Step-by-step explanation:

The diagram shows two parallel lines XY and WV.

1. Parallel lines XY and WV are cut by transversal XW, then angles YXZ and VWZ are congruent as alternate interior angles.

2. Parallel lines XY and WV are cut by transversal YV, then angles XYZ and WVZ are congruent as alternate interior angles.

AA similarity theorem states if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

So, $\triangle XYZ\sim \triangle WVZ$ by AA similarity

7 0

4 years ago

Read 2 more answers

What is the perimeter of the rectangle below?

Zielflug [23.3K]

18 m is your answer because you add up all of the sides

5 0

3 years ago

Read 2 more answers

1.7cubic feet per minutes Given that one cubic foot is equivalent to approximately 7.48 gallons what would the pump rating be in

son4ous [18]

Answer:

449 per hour

Step-by-step explanation:

First of all we know the question is asking us to round to the nearest tenth and find the rate of gallons per hour.

First:

Know there are 60 minutes in one hour

Second:

Take 7.48 and multiply it by 60

Third:

This should give you---448.8

Which is correct, but we are not done

Fourth:

Round to the nearest whole number

448.8

8 is closer to 10 than it is to 1 so we add 0.2

Which gives us 449

Five:

Just add the "per hour"

Six:

Your answer is---449 per hour---

7 0

4 years ago