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Answer: 11136 grams

≈ 11.14 kilograms  

Step-by-step explanation:

Given, Each package has 126 grams of granola, 245 grams of chocolate chip cookies , and 325 grams of nuts in it.

Total weight of each package =  126 grams + 245 grams +  325 grams

= 696 grams

If they have 16 care packages, then total weight of packages = 16 x (Total weight of each package)

= 16 x 696 grams

=  11136 grams

≈ 11.14 kilograms   [ 1 kilogram = 1000 grams]

Answer:

21 windows

Step-by-step explanation:

collen family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and collen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?

Answer: Let the number of window Collen father would paint be a while that of her mother be b. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father a = 2b

Let the number of windows that would be needed to be painted each by Colleen and her 2 brothers be c because they would paint the equal number of windows.

The total number of windows to be painted = 2b + b + c + c + c = 3b + 3c = 3(b + c).

Collen painted 7 windows as her mother and her own share which is one less than the fathers share. Therefore b + c = 7.

Also the fathers share a = 2b = 7 + 1 = 8 windows. Therefore b = 4 which is the mother share

Therefore the total number of windows = 3(b + c) = 3(7) = 21 windows

3b + 3c =  21

3(4) + 3c = 21

12 + 3c = 21

3c = 21 - 12

3c = 9

c = 3 which is collen and her brothers share

The answer is option c.

Answer:

A dodecahedron has 12 faces

Answer:

Answer is

Step-by-step explanation:

A dodecahedron has 12 faces.

Hope this helps....

Have a nice day!!!!

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Answer: d) v = 3.20 + 1.50n.

Step-by-step explanation:

Let 'v' be the price to pay in a 'n' kilometer.

Given: The price to be paid for a taxi ride includes a fixed parcel, called a flag, and a parcel that depends on the distance traveled.

Flag costs = $ 3.20 and

Each kilometre run costs = $ 1.50

Then, the amount of 'v' to pay in a 'n' kilometer race = Flag costs +   (n)× (Each kilometre run costs )

⇒ v= 3.20 + 1.50n

Hence, the correct option is  d) v = 3.20 + 1.50n.

Answer:

b

Step-by-step explanation:

In general

Given

y = f(x) then y = f(Cx) is a horizontal stretch/ compression in the x- direction

• If C > 1 then compression

• If 0 < C < 1 then stretch

Consider corresponding points on the 2 graphs

(2, 2 ) → (4, 2 )

(4, - 2 ) → (8, - 2 )

Indicating a stretch in the x- direction.

y = f([tex]\frac{x}{2}[/tex] ) with C = [tex]\frac{1}{2}[/tex] , that is 0 < C < 1

stretches the graph in the x- direction by a factor of 2

Thus

y = f([tex]\frac{x}{2}[/tex] ) → b

Answer:

Step-by-step explanation:

perimeter of first square = 4 × side = 60 m

∴ side = 60/4 = 15 m

so area = s × s = 15 × 15 = 225 m^2

perimeter of second square = 4 × side = 144 m

∴ side = 144/4 = 36 m

so area = s × s = 36 × 36 = 1296 m^2

Perimeter of the third square = sum of areas of the first and second triangle

= 225 + 1296

= 1521 m

hope this helps

plz mark as brainliest!!!!!

Answer:

Perimeter of new square =  156 m

Step-by-step explanation:

First square:

 Perimeter = 60 m

 4 * side = 60 m

side = 60/4

side = 15 m

Area of first square = side * side = 15 * 15 = 225 m²

Second square:

 Perimeter = 144 m

 4 * side = 144 m

side = 144/4

side = 36 m

Area of second square = side * side = 36 * 36 = 1296 m²

New square:

Area of new square = area of first square + area of second square

                                  = 225 + 129

Area of new square = 1521 m²

   side * side = 1521

    side = √1521 = √39*39

     side = 39 m

Perimeter of new square = 4 * 39 = 156 m

Answer:

1/2 is the fractional part of cookie which was eaten by Dan.

Step-by-step explanation:

Dan has 2 1/2 cookies and ate 1/2, so we can just subtract the 2 1/2-1/2

which cancels out the 1/2, which is the fractional part.

He has 2 cookies left.

The fractional part that he ate will be 5/4.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

Dan had 2 1/2 cookies and ate 1/2 of a cookie.

Of the original number of cookies.

Then the mixed fraction is converted into fraction.

2 1/2 = 5/2

The fractional part that he ate will be

⇒ (5/2) / 2

⇒ (5/2) x (1/2)

⇒ 5/4

The fractional part that he ate will be 5/4.

More about the Algebra link is given below.

https://brainly.com/question/953809

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Answer:

see below (I hope this helps!)

Step-by-step explanation:

Square roots are usually in the form a√b where a and b are any rational number.

Answer:

y+1/12.5=2/5

or,5y+5=25

ory=20/5

so, y=4

Step-by-step explanation:

hope it helps you

Answer:

(B) 9π in²

Step-by-step explanation:

I’m going to assume that by 6 inches you meant 6π inches.

If the circumference of a circle is 6π inches, then it’s radius will be half of 6 (because the circumference of a circle is [tex]2\pi r[/tex]).

[tex]6\div2=3[/tex]

So the radius is 3.

Now that we know the radius, we can find the area by using the equation [tex]\pi r^2[/tex].

[tex]\pi 3^2\\\pi9\\9\pi[/tex]

Hope this helped!

Answer:

Step-by-step explanation:

2πr = 6, r = 3/π

πr² = π(3/π)² = 9/π in.²

Answer:

a) 4*x + 50 ≤ 100  

b) Domain   x (0 ; 12 )     Range   f(x)   ( 50  ; 98 )

Step-by-step explanation:

The constraint is:

4*x + 50 ≤ 100                   where "x" is the number of persons

b) Domain for x

x = 0    up to  x = 12           x (0 ; 12 )

c) Range for f(x)

f(x) = 4*x + 50

f(0)  = 4*0 + 50      f(0) =  50

f(12) = 4*12 + 50    f (12) =  98

f(x)   ( 50  ; 98 )

Answer:

Step-by-step explanation:

Solution:

AM =( X_1 + X_2 )/2

=( 18 + 2 )/2

=20/2

=10

Find Geometric mean for data 18,2

Solution:

GM =sqrt( X_1 × X_2 )

=sqrt( 18 × 2 )

=sqrt(36)

=6

Answer:

35m

Step-by-step explanation:

Each tank has 35 fish and the total fish tanks is m, so to find the total you will need to do 35*m.

This is an expression because it does not have anything it is equal to.

Expression: No equal sign

Equation:Equal Sign

Hope this helps!:)

Answer:

M (-3, -5/2)

N (3, -1)

Step-by-step explanation:

Solve the first equation for x.

4y = x − 7

x = 4y + 7

Substitute into the second equation.

x² + xy = 4 + 2y²

(4y + 7)² + (4y + 7)y = 4 + 2y²

Simplify.

16y² + 56y + 49 + 4y² + 7y = 4 + 2y²

18y² + 63y + 45 = 0

2y² + 7y + 5 = 0

Factor.

(y + 1) (2y + 5) = 0

y = -1 or -5/2

Plug back into the first equation to find x.

x = 4(-1) + 7 = 3

x = 4(-5/2) + 7 = -3

M (-3, -5/2)

N (3, -1)

Answer:

y = 4. [tex]3^{x}[/tex]

Step-by-step explanation:

For an exponential function in the form

y = a[tex]b^{x}[/tex]

Use ordered pairs from the table to find a and b

Using (0, 4 ), then

4 = a [tex]b^{0}[/tex] ( note [tex]b^{0}[/tex] = 1 ), thus

a = 4

y = 4 [tex]b^{x}[/tex]

Using (1, 12 ), then

12 = 4 [tex]b^{1}[/tex] = 4b ( divide both sides by 4 )

b = 3

Thus

y = 4 . [tex]3^{x}[/tex] ← exponential equation

Answer:

Step-by-step explanation:

1). [tex]\frac{1}{2}g-4=2g-\frac{1}{2}g+4[/tex]

  [tex]\frac{1}{2}g-4=\frac{3}{2}g+4[/tex]

 Since left side of the given equation is not equal to the right side, there will be one solution to the given equation.

2). -2.1b + 5.3 = b - 3.1b + 5.3

   -2.1b + 5.3 = -2.1b + 5.3

Since left side of the equation is exactly same as right side of the equation.

Equation will have infinitely many solutions.

3). [tex]\frac{3}{4}w+\frac{5}{4}=\frac{10}{4}-\frac{3}{4}w[/tex]

  [tex]\frac{3}{4}w+\frac{5}{4}=\frac{5}{2}-\frac{3}{4}w[/tex]

Since left side of the given equation is not equal to the right side, there will be one solution to the given equation.

4). 5.7c - 1.5 + 3.2c = 7.8c - 1.5 + 1.1c

   8.9c - 1.5 = 8.9c - 1.5

 Left side of the equation is same as right side of the equation.

Therefore, there will be infinitely many solutions of the equation.

Answer:

C and f

Step-by-step explanation:

Hope this helps

Answer:

1.015

Step-by-step explanation:

just find their average, which is adding them up and dividing by 2

(1.01 + 1.02)/2 = 1.015

The decimal number exactly halfway between 1.01 and 1.02 is 1.015.

A decimal numeral system is the standard system for denoting integer and non-integer numbers. The way of denoting numbers in the decimal system is often referred to as decimal notation.

The given numbers are,

1.01 and 1.02

Now to find the halfway between the number we need to find their sum first and then the half of the sum.

So, the sum of number,

1.01 + 1.02 = 1.03

Now for half way divide the sum by 2

1.03/2 = 1.015

Hence, The decimal number exactly halfway between 1.01 and 1.02 is 1.015.

More about decimal :

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Answer:

see attachment

Step-by-step explanation:

Answer:

0.332

Step-by-step explanation:

given series

1/4, 1/16,1/64.1/256

this is geometric series

where common ratio   r is given by

nth term/ (n-1)th term

let the second term is nth term and first term is (n-1)th term

r = 1/16 / (1/4) = 1/4

___________________________________________

sum of series is given by

a (1-r^n)/1-r

where a is first term

n is the number of terms

r is the common ration

___________________________________________

in the given series

1/4, 1/16,1/64.1/256

a = 1/4

r = 1/4

n = 4

thus ,

sum = 1/4(1-(1/4)^4)/ (1-1/4)

sum = 1/4(1-(1/256)/(4-1)/4

sum = 1/4((256-1)/256 / 3/4

1/4 in numerator and denominator gets cancelled

sum =( 255/256*3) = 255/768 = 0.332

Thus, sum of series is 0.332.

Answer:

341/256

Step-by-step explanation:

I took the test and got the answer right

You just give all the fractions a common denominator of 256 and then change and add up the numerators and you get 341

Answer:

See below.

Step-by-step explanation:

[tex]\cot(x-\frac{\pi}{2})=-\tan(x)[/tex]

Convert the cotangent to cosine over sine:

[tex]\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)[/tex]

Use the cofunction identities. The cofunction identities are:

[tex]\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)[/tex]

To convert this, factor out a negative one from the cosine and sine.

[tex]\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)[/tex]

Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:

[tex]\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)[/tex]

Answer:

The perimeter of the triangle is 40.

Step-by-step explanation:

Pythagorean Theorem:  If x and y are the leg lengths of a right triangle, then r = √(x^2 + y^2) is the length of the hypotenuse.  Alternatively, x^2 + y^2 = r^2.

The side lengths 2x, 4x - 1 and 4x + 1 are already arranged in ascending order.  Thus, (2x^)2 + (4x - 1)^2 = (4x + 1).    

Performing the indicated operations, we get:

         4x^2 + 16x^2 - 8x + 1 = 16x^2 + 8x + 1.  Simplify this first by combining like terms:

         20x^2 - 16x = 16x^2, or

         4x^2 - 16x = 0, or

          4x(x - 4) = 0.  Thus, x = 0 (which makes no sense here) or x = 4.  

The perimeter of the rectangle is the sum of the three sides 2x, 4x - 1 and 4x + 1.  Substituting 4 for x, we get

P = 8 + 16 - 1 + 16 + 1, or 40.

The perimeter of the triangle is 40.                        

Answer:

4.76 g/cm³

Step-by-step explanation:

Density formula = mass / volume

1. Set up the equation and solve

50.0 / 10.5 = 4.76

Answer:

acceleration [tex]\approx 2.78\,\,\frac{m}{s^2}[/tex]

Step-by-step explanation:

The acceleration is the change in velocity per unit of time.

Therefore to have this rate in appropriate units that can combine, we re-write the change from 0 to 70 km/h in meters per second using:

[tex]70 \frac{km}{h} = \frac{70000}{3600} \frac{m}{s}[/tex]

so in this case the acceleration becomes:

[tex]accel=\frac{change\,\,vel}{change\,\,time} =\frac{70000m}{3600\,*7\,s^2} \approx 2.78\,\,\frac{m}{s^2}[/tex]

Answer:

Step-by-step explanation:

the degree of 8^8t

16777216t : the degree of the mnonmial is 1, because the degree of the variable is 1

Answer:

(a) (f o g)(x) =  x^2 - 15x + 54

(b) (g o f)(x) = x^2 + 3x - 9

(c) (f o f)(x) = x^4 + 6x^3 + 12x^2 + 9x

(d) (g o g)(x) = x - 18

Step-by-step explanation:

f(x) = x^2 + 3x

g(x) = x - 9

(a)

(f o g)(x) = f(g(x)) = (g(x))^2 + 3(g(x)) = (x - 9)^2 + 3(x - 9)

(f o g)(x) = x^2 - 18x + 81 + 3x - 27

(f o g)(x) = x^2 - 15x + 54

(b)

(g o f)(x) = g(f(x)) = f(x) - 9 = x^2 + 3x - 9

(c)

(f o f)(x) = f(f(x)) = (x^2 + 3x)^2 + 3(x^2 + 3x)

(f o f)(x) = x^4 + 6x^3 + 9x^2 + 3x^2 + 9x

(f o f)(x) = x^4 + 6x^3 + 12x^2 + 9x

(d)

(g o g)(x) = g(g(x)) = x - 9 - 9 = x - 18

Answer: Hi!

The solution to positive 6 and -6 is 0. A negative and a positive of the same absolute value cancel out.

Hope this helps!

Answer:

the answer is zero !

Step-by-step explanation:

when a negative and a positive of the same number  go against each other they cancel out