A software company is selling a new game in a standard edition and a collector's edition. The box for the standard edition has a volume of 20 cubic inches, and the box for the collector's edition has a volume of 30 cubic inches, the company receives an order for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which system of equations can be used to determine the number of standard edition games, s, and collector's edition games, c, that were ordered?


A) 75 − s = c
20s + 30c = 1,870
B) 75 + s = c
20s + 30c = 1,870
C) s − c = 75
25(s + c) = 1,870
D) s − c = 75
30s + 20c = 1,870

Answer: 42 nickles 19 quarters

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Camille has 42nickels and 19 quarters.

The price depends on how much amount of product one has/consumes.

Let, Camille has 'y' no. of nickels.

Therefore, she has (61-y) no. of quarters.

We know that,

1 nickel = 5cents

1 quarter =25 cents

$6.85 = 685cents (as 1 dollar = 100cents)

now,

5*y+25*(61-y)=685

or,5y-25y=685-1525

or, 20y = 840

or, y= 42

Therefore, Camille has 42 nickels and (62-41)=19 quarters.

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Answer:

32/5

Step-by-step explanation:

Answer:

h = -3

Step-by-step explanation:

to solve for h

-5 = h + (-2)  

just combine the like terms together

-5 = h + (-2)  

-5 + 2 = h

h = -3

Answer:

Option D, 7xy^5 + 2y^2 - 10

Step-by-step explanation:

Step 1:  Pull out 3xy from all of the top

[tex]\frac{3xy(7xy^5+2y^2-10)}{3xy}[/tex]

The 3xy on top and the 3xy cancel to make:  7xy^5 + 2y^2 - 10

Answer:  Option D, 7xy^5 + 2y^2 - 10

Answer:

37.70 feet

Step-by-step explanation:

-The radius of each tire is given as 6 feet.

-Distance around each tire is equivalent to the circumference of each tire.

#Circumference is calculated as:

[tex]C=\pi D=2\pi r\\\\=2\pi \times 6 \\\\=12\pi\\\\=37.70\ feet[/tex]

Hence, the distance around each tire is 37.70 feet

Answer:

20

Step-by-step explanation:

To get the answer, you have to find what number 15 is 75 percent of.

Answer: 100

Step-by-step explanation:

4b squared where b= 5

Slot in 5 for b; 5 squared = 5x5= 25

4 (25)

=100

Answer:

100

Step-by-step explanation:

First we remove the b and put 5 in its place because that what the instructions say b stands for

4*5^2

We do PEMDAS to figure out what to do first, we do the exponent

5^2 or 5*5= 25

Now we do 4 * 25

4*25 =100

Answer:

[tex]946.4\ m[/tex]

Step-by-step explanation:

Let

h(t) ---> the height of an object in meters

t ----> the time in seconds

we have

[tex]h(t)=-2.6t^2+40t+800[/tex]

For t=6 sec

substitute in the quadratic equation  the value of t and solve for h

[tex]h(6)=-2.6(6)^2+40(6)+800[/tex]

[tex]h(6)=946.4\ m[/tex]

Answer:

The original number of oranges purchased is 260

Step-by-step explanation:

Let the original number of oranges purchased be x

We are given that The number of oranges a grocery store bought this year was 15% more than the number of oranges bought last year.

So, Oranges bought this year = [tex]x+15\%x=x+\frac{15}{100}x=1.15x[/tex]

We are given that This year the store bought 299 oranges.

So, [tex]1.15 x= 299[/tex]

[tex]x=\frac{299}{1.15}[/tex]

x=260

Hence the original number of oranges purchased is 260

Answer:

1/26

Step-by-step explanation:

the probably is 1/26 becasue there is 26 letter in the alphabet

Answer:

21x+53

Step-by-step explanation:

The simplified expression is 21x - 13.

To solve the expression 5(3x + 4) - 3(-2x + 11), follow these steps:

Distribute the 5 into the first set of parentheses:

5 × 3x = 15x

5 × 4 = 20

So, 5(3x + 4) becomes 15x + 20.

Distribute the -3 into the second set of parentheses:

-3 × -2x = 6x

-3 × 11 = -33

So, -3(-2x + 11) becomes 6x - 33.

Combine like terms:

(15x + 6x) + (20 - 33) = 21x - 13

The simplified form of the expression is 21x - 13.

Answer:

The tenth term is

[tex] \frac{1}{20} [/tex]

Step-by-step explanation:

The 3rd term of an AP is 1/16.

This implies that:

[tex]a + 2d = \frac{5}{16} - - - (1)[/tex]

The 6th term of an AP is 1/5.

This means that:

[tex]a + 5d = \frac{1}{5} - - - (2)[/tex]

Subtract equation 1 from equation 2.

[tex]5d - 2d = \frac{1}{5} - \frac{5}{16} [/tex]

[tex]3d = - \frac{9}{80} \\ \implies \: d = - \frac{3}{80} [/tex]

From equation (1)

[tex]a + 2( - \frac{3}{80} )= \frac{5}{16} \\ a - \frac{3}{40} = \frac{5}{16} \\ a = \frac{5}{16} + \frac{3}{40} \\ a = \frac{31}{80} [/tex]

The tenth term is:

[tex]a + 9d = \frac{31}{80} + 9( - \frac{3}{80} ) \\ = \frac{31}{80} - \frac{27}{80} = \frac{4}{80} = \frac{1}{20} [/tex]

Answer:

y = 7/3 x + 2

Step-by-step explanation:

y = mx+b is the slope intercept form of a line

where m is the slope and b is the y intercept

Substituting in what we know

y = 7/3 x + 2

Answer:

The numbers are 12 and 32.

Step-by-step explanation:

x = One number

x - 20 = Another number

3x - (x - 20) = 84 (If the lesser number is subtracted from three times the greater number, the difference is 84)

Let's solve for x, this way:

3x - (x - 20) = 84

3x - x + 20 = 84

2x = 84 - 20 (Subtracting 20 at both sides)

2x = 64

x = 64/2

x = 32 ⇒ x - 20 = 12

For the given problem, by denoting the lesser number as 'x', we can form and solve an algebraic equation to find 'x=12' and 'x+20=32', which are the lesser and the greater numbers respectively.

This problem involves the concepts of algebraic equations. Let's denote the lesser number as 'x'. Therefore, the greater number becomes 'x+20' because it is 20 more than the lesser number. The problem states that three times the greater number subtracted by the lesser number is 84. So, we can translate that into the equation: 3*(x+20) - x = 84.

Solving this equation we get: 3x + 60 - x = 84, which simplifies further to 2x + 60 = 84. Deducting 60 from both sides gives 2x = 24. Finally, dividing by 2 gives x = 12 which is the lesser number. So the greater number becomes x + 20 = 12 + 20 = 32.

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Answer:

True

Step-by-step explanation:

Answer: True

Step-by-step explanation:

In electromagnetic waves, the more the work, the greater the energy expended.

Answer: 48 vegetables

Step-by-step explanation:

30 vegetables

Increase is by 60% = 0.6 x 30= 18

30+18= 48 vegetables

Answer:

48

Step-by-step explanation:

30 x 60% (.60) = 18.

30 + 18 = 48

Answer:

47.1

Step-by-step explanation:

A=PIEr^2

if you have the diameter you dont need to square it so it is simply PIE(15)

then you get 47.1238898

round it

47.1

Answer:

176.6 mm^2

Step-by-step explanation:

We need to find the radius

r = d/2

r = 15/2 = 7.5

We want the area of a circle

A = pi r^2

A = pi * (7.5)^2

   = 3.14 * 56.25

    =176.625

Rounding to the nearest tenth

176.6 mm^2

Answer:

Table #1:

Length (L) | Width (W) | Area (56)

Table #2:

Length (2L) | Width (2W) | Perimeter (36)

Equation #1: L · W = 56

Equation #2: 2L + 2W = 36

Step-by-step explanation:

The following are the formulas used to find the area and the perimeter of a rectangle:

Area = L · W

Perimeter = L + L + W + W

If you group common variables, you can simplify the formula used to find the perimeter down to:

Perimeter = L + L + W + W

Perimeter = 2L + 2W (Since you're adding 2 of each)

Using these formulas, we can insert our values into them. We know that the rectangle has an area of 56 square inches meaning:

L · W = 56

We know that the rectangle has a perimeter of 36 inches meaning:

2L + 2W = 36

Answer:

Table #1:

Length (L) | Width (W) | Area (56)

Table #2:

Length (2L) | Width (2W) | Perimeter (36)

Equation #1: L · W = 56

Equation #2: 2L + 2W = 36

Step-by-step explanation:

Step-by-step explanation:

8/100(8 over 100)×16000=1280

1280+16000=17280

Answer:

$21,767.82

Step-by-step explanation:

48 months = 48/12 = 4 years

16000 × (1 + 8%)⁴

16000 × 1.08⁴

= 21,767.82336

Answer:

x=4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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x−3=−x+5

Add x to both sides.

x−3+x=−x+5+x

2x−3=5

Add 3 to both sides.

2x−3+3=5+3

2x=8

Divide both sides by 2.

2x /2 = 8 /2

x= 4

Answer:

40°  

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Answer:

[tex] {(x + 3)}^{2} = 16[/tex]

Step-by-step explanation:

The given equation is

[tex] {x}^{2} + 6x - 7 = 0[/tex]

To find the equation that has the same solution, we complete the square.

Add the square of half the coefficient of x to both sides

[tex] {x}^{2} + 6x + {3}^{2} = {3}^{2} + 7 [/tex]

This becomes:

[tex] {x}^{2} + 6x + 9 = 9 + 7 [/tex]

Factor the first three terms to get a perfect square;

[tex]{(x + 3)}^{2} = 16[/tex]

The correct answer is C

The equation c. (x+3)^2=16 has the same solutions as the given equation x^2+6x−7=0.

The equation that has the same solutions as the given equation x^2+6x−7=0 is c. (x+3)^2=16.

Therefore, the equation (x+3)^2=16 has the same solutions as the given equation x^2+6x−7=0.

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Answer:

12

Step-by-step explanation:

3X4=12

Answer:

8 tablespoons

Step-by-step explanation:

its is 8 because 4 teaspoons per dozen and there are 6 dozens so 4 times 6 is 24, then 24 divided by 3 because thats how many teaspoons are in 1 tablespoon so its 8 tablespoons

Answer:

B.  62.8    is the correct answer

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Given

C = 2πr ( isolate r by dividing both sides by 2π )

[tex]\frac{C}{2\pi }[/tex] = r → D

The circumference of a circle is defined as the distance around the circle.

The formula that represents r in terms of C is r =  C/ 2π. The correct option is Option D

From the question, we are given the formula for the circumference of the circle C as :

C = 2πr

To represent in terms of C,

2πr = C

Divide both sides by 2π

2πr/2π = C/ 2π

r =  C/ 2π

Therefore,  the formula that represents r in terms of C is r =  C/ 2π. The correct option is Option D

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Answer:

C) 3, 4, 5

Step-by-step explanation:

5² = 3² + 4²

25 = 9 + 16

25 = 25

Answer:

2q+y+5

Step-by-step explanation:

Simplify the expression