Mr. Thomsen is buying two types of gift
cards to give as prizes to employees at a
company meeting. He will buy restaurant
gift cards that each cost $50. He will also
buy movie theater gift cards that each
cost $20. He has $450 to buy a total of
15 gift cards. How many of each type of gift cards can he buy?

Answer:

[tex]Length = Width = 6\ units[/tex]

Step-by-step explanation:

Given

[tex]Area=36[/tex]

Required

The least possible material

Sandboxes usually, are rectangles or squares.

Using the above assumption, the area is calculated as:

[tex]Area= Length * Width[/tex]

[tex]Area= L* W[/tex]

[tex]L * W = 36[/tex]

Make L the subject

[tex]L = \frac{36}{W}[/tex]

The material of the outer edge is calculated by the perimeter.

[tex]Perimeter = 2 * (L +W)[/tex]

[tex]P = 2 * (L + W)[/tex]

Substitute [tex]L = \frac{36}{W}[/tex]

[tex]P = 2 * (\frac{36}{W} + W)[/tex]

Open bracket

[tex]P = \frac{72}{W} + 2W[/tex]

[tex]P = 72W^{-1} +2W[/tex]

To get the minimum material needed, we differentiate P

[tex]P' = -72W^{-2} + 2[/tex]

Set: [tex]P' = 0[/tex]

[tex]-72W^{-2} + 2 = 0[/tex]

Collect like terms

[tex]72W^{-2} = 2[/tex]

Divide both sides by 72

[tex]W^{-2} = \frac{2}{72}[/tex]

[tex]W^{-2} = \frac{1}{36}[/tex]

Rewrite as:

[tex]\frac{1}{W^2} = \frac{1}{36}[/tex]

Take positive square roots of both sides

[tex]\frac{1}{W} = \frac{1}{6}[/tex]

Cross multiply

[tex]W = 6[/tex]

Recall that: [tex]L = \frac{36}{W}[/tex]

So, we have:

[tex]L =\frac{36}{6}[/tex]

[tex]L = 6[/tex]

Hence, the dimension with the littlest material as possible is:

[tex]Length = Width = 6\ units[/tex]

Answer: Are there any answer choices? If there are I could probably help you, thanks <3

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

I did the math

Answer:

100

Step-by-step explanation:

14-12=2

10-6=4

4x2=8

divid it by 2 cos itza triangl

8/2=4

the smallr square

4x4=16

biggr square

10x8=80

4+16+80=100

Answer:

answer =100 ft²

Step-by-step explanation:

......hope it helps

Answer:

1 Simplify  4x\times 2y4x×2y  to  8xy8xy.

8xy-2y\times 2x-5xy

8xy−2y×2x−5xy

2 Simplify  2y\times 2x2y×2x  to  4yx4yx.

8xy-4yx-5xy

8xy−4yx−5xy

3 Simplify.

-xy

−xy

Step-by-step explanation:

Answer:

18 mph

Step-by-step explanation:

12.6 × 5 =68.0. 68 - 50 = 18

An equation that models the considered calorie consumption by Jonathan is y = mx + 6k, where m is the number of calorie per buiscuit, and k is the number of calorie per package of pemmican.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

We're specified that:

Let we take:

m = number of calories per buiscuit that Jonathan eats.

Then, for x buiscuits, it would be [tex]m \times x[/tex] calories, or in short [tex]mx[/tex] calories.

Let k = number of calories per package of pemmican, then:

for 6 packages of pemmican, it would be [tex]6 \times k[/tex] calories, or in short [tex]6k[/tex] calories.

Thus, total calories Jonathan consumes = y = calories from x buiscuits + calories from 6 packages of pemmican.

or, we get:

[tex]y = mx + 6k[/tex]

Thus, an equation that models the considered calorie consumption by Jonathan is y = mx + 6k, where m is the number of calorie per buiscuit, and k is the number of calorie per package of pemmican.

Learn more about forming equations here:

https://brainly.com/question/11938672

 Answer:                    

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

1/3 of 33=11

11=number of seniors

2/3 of 33=22

22+11=33

22=number of underclassmen

plz can i get brainliest:)

Answer:

.86

Step-by-step explanation:

Exponential function formula

[tex]y = a ( 1 + or - r ) ^t[/tex]

where a = initial value

r = rate of change

and t = number of years

given the equation y = 34000(0.86)^x.

r = .86

Hence the change factor is .86

Answer:

$20.30  plus tax

Step-by-step explanation:

You multiply 28 x .30 and that is your discount.

Answer:

$20.30

Step-by-step explanation:

Answer:

(x + 5)² + (y - 1)² = 4

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 5, 1) and r = 2, then

(x - (- 5))² + (y - 1)² = 2² , that is

(x + 5)² + (y - 1)² = 4

Answer:

Step-by-step explanation:

hello  :

hello:

note :   an equatin for the circle is : (x-a)²+(y-b)²=r²

when the center is the point : C(a , b) and the  radius  r

use this graph : given two points in this circle  A(-3,1) and B(-7,1)

1) AB/2 = r = 4/2 = 2

2) the midipoint for the segment AB is the center C

a = (-3-7)/2     and  b = (1+1)/2

a= -5   and b= 1  so : C(-5 , 1)

an equation is :  (x+5)²+(y-1)²=2²

Answer:

a

Step-by-step explanation:

Answer:

you already click the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

its d cause there is actually 208 nickles and if u ad 8 more it gives u 216.

Answer: D.

Step-by-step explanation:

52x4=208

Since we know she has 4 times as many nickels as dimes(52), we just have to multiply 52x4 to get 208 nickels

208+8=216

We know that she has 8 more quarters than nickels(208) so we have to add 8 to 208 to get 216 quarters

I hope this helps

Hopefully it's brainlist

Answer:

answer below

Step-by-step explanation:

I think you mean "squashed" or "stretched" vertically by a factor of 5.

f(x) is the original parabola equation

g(x) = 5f(x) is vertically stretched by a factor of 5

(x,y) -> (x , 5y)

Answer:

10%

Step-by-step explanation:

The first step is to calculate the decrease

Original price= $41.10

New price= $36.99

= 41.10-36.99

= 4.11

4.11/41.10 × 100

= 0.1×100

= 10%

Hence the percentage decrease is 10%

62.4 bass per year from year 5 to year 8, the average rate of change from the population was about 67.6 best per year the change of rate increase was about

Answer:

hello your question has a missing diagram attached below is the missing diagram

answer :  

Mark the point of intersection S of circles R and P, and construct line QS ( option 2 )

Step-by-step explanation:

when constructing a tangent line from one point ( lets say Q as seen in the question ) to a circle P. The next step should be to mark a point of intersection between  the given circles and then construct a line through it

Answer:

Mark the point of intersection S of circles R and P, and construct line QS.

Step-by-step explanation:

This is correct because after you create circle R that intersects circle p, you're supposed to mark the intersection points.  If your in FLVS, it would be in lesson 7.04.  I also got this right on my test.  Good luck!

Answer:

x<5

Step-by-step explanation:

(3x<15)

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

x<15/3

Divide 15 by 3 to get 5.

x<5

Answer:

216

Step-by-step explanation:

(6 to the -4th) * (6 to the 7th)

Answer: 4 black marbles, 3 blue, 2 green, and one red.

Step-by-step explanation:

Answer:

29.5 times pi or 3.14

Step-by-step explanation:

Answer:

The new shape will be like the one that i have drawn for you , i think .

Step-by-step explanation:

add two ( to base* from both sides of it * )

delete one ( from hights )

Hope it was useful ;)

Answer:

A

Step-by-step explanation:

I believe it is A If I remember correctly