marcus collects donations and sends care packages to troops overseas. he has 36 bard of soap and 24 toothbrushes and wants to arrange the items so the packages are identical. what is the greatest number of packages that marcus can make using all the soap and tooth brushes

Answer:

[tex]\sqrt\frac{2+\sqrt{2}}{2-\sqrt{2}}[/tex]

Step-by-step explanation:

correct on edge2020

The required exact value of tan(67.5°) is -2 + √(2).

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,
The exact value of tan(67.5°) can be found using the half-angle identity for the tangent, which states that:

tan(x/2) = (1 - cos(x)) / sin(x)

We can use this identity with x = 135 degrees since 67.5 degrees is half of 135 degrees. So:

tan(67.5°) = tan(135°/2) = (1 - cos(135°)) / sin(135°)

We can then use the following exact values:

cos(135°) = -√(2)/2

sin(135°) = -√(2)/2

Substituting these values, we get:

tan(67.5°) = (1 + √(2)/2) / (-√(2)/2)

Rationalizing the denominator, we get:

tan(67.5°) = -2 + √(2)

Therefore, the exact value of tan(67.5°) is -2 + √(2).

Learn more about trig ratios here:

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Answer:

D

Step-by-step explanation:

Answer:

the answer to your question is D

Step-by-step explanation:

hope this helps

Answer: 64

Step-by-step explanation: Hopes this help

9514 1404 393

Answer:

  x = {-0.2, 6.2}

Step-by-step explanation:

The values that go into the quadratic formula are a = 1, b = -6, c = -1.

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-6)\pm\sqrt{(-6)^2-4(1)(-1)}}{2(1)}\\\\=\dfrac{6\pm\sqrt{40}}{2}=3\pm\sqrt{10}\\\\\boxed{x\in\{-0.2,\ 6.2\}}[/tex]

Answer:

x=6, y=128

Step-by-step explanation:

set 5x+16 = 7x+4

-2x=-12

x=6

plug x into equation= 46

180-46=134

y+6=134

y=128

Answer:

x^2

Step-by-step explanation:

ax^2 + bx + c is quadratic standard form

Answer:

50% as there is 100 beans all together

Answer:

2.75x(1023)

=2.75*x*1e+23

=2.7499999999999997e+23*x

=2.7499999999999997e+23x

Step-by-step explanation: Hope this help

Answer:

An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.

Step-by-step explanation:

Answer:

5x + y = 8

Step-by-step explanation:

Given the equations:

x+3y=10 ____ (1)

2x−y=−1 ____ (2)

Multiply (2) by 2

2(2x - y = - 1) = 4x - 2y = - 2

4x - 2y = - 2 - - - (3)

Add (1) and (3)

4x - 2y = - 2

x + 3y = 10

___________

5x + y = 8

_________

Answer:

5x + 3y = 6

Step-by-step explanation:

Answer:

(15+3)/6= the input

18/6= 3

since the output is three less than 6x the input, you need to add three. and if the output is 6 times the input after adding three, you have to divide by 6 to find out what the input originally was. you can check it by doing:

6*3= 18

and 18-3= 15 so it checks out.

Step-by-step explanation:

I hope this helps :)

Answer:

The correct answer is d.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

m divided by 5 is the same as m/5

Answer:

25%

400%

Step-by-step explanation:

37=148x

x=0.25

25%

148=37x

x=4

Answer:

first: 37×100=3700

3700/148=25 percent

second: 148×100=14800

14800/37 =400 percent.

hope I helped u. pls mark me❤️

Answer:Answer:Answer:the change from the table is -q

Step-by-step explanation: 3x-5 = -15

and the other change Is the -21

Answer:

124

Step-by-step explanation:

63 +31 is 93 +31 is 124

Answer:

Answer:

124

Step-by-step explanation:

63 +31 is 93 +31 is 124

Answer:

[tex] {(a + b + c)}^{2} = {(5 + 4 + 3)}^{2} \\ = {12}^{2} \\ = \boxed{144}[/tex]

Answer:

20%

20=4

32=6.4

54=10.8

88=17.6

120=24

25%

20=5

32=8

54=13.5

88=22

120=30

30%

20=6

32=9.6

54=16.2

88=26.4

120=36

75%

20=15

32=24

54=40.5

88=66

120=90

120%

20=24

32=38.4

54=64.8

88=105.6

120=144

Step-by-step explanation:

Go to a percentage calculator to check if this isn't enough.

Answer:

Man o dont know the answer but just give me brainalis

Step-by-step explanation:

wen you see my answer clike the hart buton and the buton that says make Brinalist

Answer:

B. [tex]k(x)=(-x+3)^{1/2}[/tex]

Step-by-step explanation:

When we're talking about a restricted domain, we're looking for a function that's undefined for certain values of x. A classic example is the function f(x) = 1/x. Division by 0 is undefined, so this restricts our domain to all real numbers except 0.

A key feature of our problem is in the exponents - are there any exponents that would limit the possible values of x? Let's strip away the rest of the details and just look at those powers for each option:

For A, let's look at the function [tex]f(x) = x^{1/5}[/tex]. Remember that fractional exponents are the same as roots, so we could also say [tex]f(x)=\sqrt[5]{x}[/tex]. Any odd root like this can take any value for x, positive and negative. This has to do with the fact that any odd power of a negative is always negative. So no restrictions on A.

For B, just looking at the exponent, let's see if there are restrictions on the function [tex]k(x) = x^{1/2}[/tex]. Again, we can rewrite the right side as a root: [tex]k(x) = \sqrt{x}[/tex].

Unline f(x), k(x) is restricted. The square root of a negative number has no real solutions, so k(x) comes with the restriction that x ≥ 0. We could look at C and D, but we've already found our solution at this point, so I'll stop here!

Answer:

It's A

Step-by-step explanation:

Step-by-step explanation:

Area of parallelogram

= Vertical height * Base

= (8m)(6m) = 48m².

The area is 48 square meters.

Answer:

48 square meters

Step-by-step explanation:

First we know there are two triangles the same size and because, the formula is A = 1/2b*h. Therefore, we only have to do the math for one triangle to make up for both triangles.

2*8=16.

Then because, 6 is for both the triangle and the square it would be 4*8=32

32+16=48

48

Therefore, your answer would be 48 square meters.

Answer: 3

PLOT AT THE POINT (-1, 3)

Step-by-step explanation:

Just plug in the X coordinate in the equation to get the answers.

Example in problem 2

Plug in X to find Y

Y= -1^2 + 2

Y = 3

Therefore, graph it at the point (-1,3)

Hope this was helpful !!

Answer:(2x^2+1) (x^2+5)

Step-by-step explanation:

Just answered it hsbsskksks

Answer:

c=10

36+64=c square

100=c square

10=c

you can also use the pythagorean triple 6,8,10 to figure it out faster.

Step-by-step explanation:

thank me later for the solution hope it works

Answer:

a this is because bigger negative numbers are smaller

Answer:

3^2+4^2=7^2

√7^2

7

Answer:  c= 5

Given a=4 and b=3,

c = 5

Step-by-step explanation: Given a=4 and b=3,

c = 5

∠α = 53.13° = 53°7'48" = 0.9273 rad

∠β = 36.87° = 36°52'12" = 0.6435 rad

area = 6

perimeter = 12

h =  

12

5

= 2.4