A paper company needs to ship paper to a large printing business. The paper will be
shipped in small boxes and large boxes. The volume of each small box is 6 cubic feet
and the volume of each large box is 22 cubic feet. A total of 22 boxes of paper were
shipped with a combined volume of 324 cubic feet. Write a system of equations that
could be used to determine the number of small boxes shipped and the number of
large boxes shipped. Define the variables that you use to write the system.

Answer:

The intercepts of the line: 9x - 7y = 14

For x-intercept, in this case: y = 0, => 9x = 14 => x = 14/9

=> x-intercept (14/9, 0)

For y-intercept, in this case: x = 0, => -7y = 14 => y = -2

=> y-intercept (0, -2)

Hope this helps!

:)

Answer:

7 b + 3 r

Step-by-step explanation:

Answer:

The real solutions are

[tex]x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35[/tex]

Step-by-step explanation:

The solution, or root, of an equation is any value or set of values that can be substituted into the equation to make it a true statement.

To find the real solutions of the equation [tex]5x^6=30[/tex]:

[tex]\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x^6}{5}=\frac{30}{5}\\\\\mathrm{Simplify}\\\\x^6=6\\\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)}\\\\x=\sqrt[6]{6}\approx 1.35\\\\\:x=-\sqrt[6]{6}\approx -1.35[/tex]

Answer:

None! .7632 is smaller than 9.

Step-by-step explanation:

Step-by-step explanation:

[tex](3x-2)(5x^2-3x+4)[/tex]

[tex]15x^3-9x^2+12x-10x^2+6x-8[/tex]

Now, combine like terms.

[tex]15x^3-19x^2+18x-8[/tex]

Answer:

wheres the info

Step-by-step explanation:

Answer:

A: 10.5 m

Step-by-step explanation:

i think it's A, i may be wrong! hope this helps!!~

Answer:

$0.08

Step-by-step explanation:

Take 0.23 and divide it by 3 to get an individual cost and round to the nearest tenth.

Answer:

Step-by-step explanation:

.23 ÷3=.076

Rounded up .08

Answer:

The answer is D. Range Hopefully this helps!

Answer:

D

Step-by-step explanation:

Hope this helps

Answer:

  7,854 cm squared

Step-by-step explanation:

The formula for the area of a circle is ...

  A = πr^2

Filling in the given radius gives you ...

  A = π(50 cm)^2 = 2500π cm^2 ≈ 7854 cm^2

Answer:

[tex]32[/tex]

Step-by-step explanation:

[tex] {2}^{5} \\ 2 \times 2 \times 2 \times 2 \times 2 \\ 4 \times 4 \times 2 \\ 16 \times 2 \\ = 32[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The right answer is 32.

Look at the attached picture

hope it will help you

good luck on your assignment

Answer: A) DE = 24 yd and EF = 10 yd

Step-by-step explanation:

Shape EFD is just a dilate of 2, meaning BCA x 2.

13 x 2 = 26

12 x 2 = 24

5 x 2 = 10

Therefore, DE = 24 yd and EF = 10 yd

I hope this helps!

Answer:

DE = 24, EF = 10

Step-by-step explanation:

We can use ratios to solve

13 ft           12 ft

---------- = -----------

26 ft          x ft

Using cross products

13x = 12*26

Divide each side by 13

13x/13 = 12*26/13

x = 24

13 ft           5 ft

---------- = -----------

26 ft          y ft

Using cross products

13y = 5*26

Divide each side by 13

13y/13 = 5*26/13

y = 10

Answer:

Step-by-step explanation:

The current endpoints are ...

  V = (-9, 2)

  W = (-3, 6)

Put each of these in the translation formula to see where the image points are.

  (x, y) ⇒ (x+5, y-1)

  (-9, 2) ⇒ (-9+5), 2-1) = (-4, 1) . . . . point V ⇒ V'

  (-3, 6) ⇒ (-3+5, 6-1) = (2, 5) . . . . . point W ⇒ W'

The new end points are (-4, 1) and (2, 5), matching choices A and B.

Look at the attached picture

Hope it will help you

Answer:

Okay well the 3.4 yard pieces are the constant in which Michael will be cuttings that number stays the same an will not change. The (X) represents the unknown number of how many times the ribbon will be cut. As the whole inequality states the unknown number of pieces that are 3.4 yards long are less than 100 yards.

Answer:

The variable, x, is the number of pieces of ribbon Michael cuts. Since each piece is 3.4 yards long, 3.4x is the total length of all the pieces together. This total length cannot be more than the 100 yards of ribbon he has, so 3.4x must be less than or equal to 100.

Answer:

Step 1: Write down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

Step 3: Simplify (or reduce) the fraction.

Answer:

x = 2, y =7

Step-by-step explanation:

4x - 2y = -6

-6x + 2y = 2

Add the equations together

4x - 2y = -6

-6x + 2y = 2

-----------------------

-2x = -4

Divide each side by -2

-2x/-2 = -4/-2

x = 2

now find y

-6x+2y =2

-6(2) +2y =2

-12+2y =2

Add 12 to each side

-12+12+2y = 2+12

2y =14

Divide by 2

2y/2 =14/2

y =7

Answer:

0.3529411765

Step-by-step explanation:

add red and white and divide it by the total

Answer:

Volume of the mold is [tex]6.93\ \text{yards}^3[/tex].

Step-by-step explanation:

The volume of the mold is 186 cubic feet concrete. It is to be sold by cubic yard. It means that we need to convert cubic feet to cubic yard.

1 feet = 0.334 yards

[tex]186\ \text{feet}^3=186\times (0.334\ \text{yards})^3\\\\V=6.93\ \text{yards}^3[/tex]

So, the volume of the mold is [tex]6.93\ \text{yards}^3[/tex].

Answer:

  7 years

Step-by-step explanation:

We expect your equation is ...

  200e^(.08t) = 350

Dividing by 200 and taking the natural log, we have ...

  0.08t = ln(1.75)

  t = ln(1.75)/.08 ≈ 7.0

The money has been invested 7 years.

Answer:

Yes 0 is a natural number

Step-by-step explanation:

I googled it

Step-by-step explanation:

Zero is not positive or negative Even though zero is not a positive number it is still considered a whole number yes it is a natural number because it is on the number line

Answer:

  y +9 = 15(x -2)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . for slope m and point (h, k)

Here, you are given m=15 and (h, k) = (2, -9). Putting these values into the form gives the equation ...

  y +9 = 15(x -2)

Answer:

The sum of the first nine terms of the sequence is 74.44.

Step-by-step explanation:

Geometric sequence concepts:

The nth term of a geometric sequence is given by the following equation.

[tex]a_{n+1} = ra_{n}[/tex]

In which r is the common ratio.

This can be expanded for the nth term in the following way:

[tex]a_{n} = a_{1}r^{n-1}[/tex]

In which [tex]a_{1}[/tex] is the first term.

Or even:

[tex]a_{n} = a_{m}r^{n-m}[/tex]

The sum of the first n terms of a geometric sequence is given by:

[tex]S_{n} = \frac{a_{1}(1 - r^{n})}{1 - r}[/tex]

Finding the common ratio:

[tex]a_{3} = 3.645, a_{8} = 15[/tex]

[tex]a_{n} = a_{m}r^{n-m}[/tex]

[tex]a_{8} = a_{3}r^{8-3}[/tex]

[tex]a_{3}r^{5} = a_{8}[/tex]

[tex]3.645r^{5} = 15[/tex]

[tex]r^{5} = \frac{15}{3.645}[/tex]

[tex]r = \sqrt[5]{\frac{15}{3.645}}[/tex]

[tex]r = 1.327[/tex]

Finding the first term:

[tex]a_{3} = a_{1}r^{2}[/tex]

[tex]a_{1} = \frac{a_{3}}{r^{2}}[/tex]

[tex]a_{1} = \frac{3.645}{(1.327)^{2}}[/tex]

[tex]a_{1} = 2.07[/tex]

Sum of the first nine terms:

[tex]S_{9} = \frac{2.07*(1 - (1.327)^{9})}{1 - 1.327} = 74.44[/tex]

The sum of the first nine terms of the sequence is 74.44.

Answer:

S₉ = 9.84

Step-by-step explanation:

In a geometric series, the general formula for nth term is:

an = a₁rⁿ⁻¹

where,

an = nth term

a₁ = first term

r = common ratio

From this formula, we have:

a₃ = a₁r² = 3.645   --------- equation (1)

a₈ = a₁r⁷ = 15    ----------- equation (2)

dividing both of these equations, we get:

a₁r⁷/a₁r² = 15/3.645

r⁵ = 4.115

r = (4.115)^1/5

r = 1.33

Now, put this value in equation (1), we get:

a₁(1.33)² = 3.645

a₁ = 0.27

Now, the formula for the sum of geometric series upto nth term is:

Sn = a₁(rⁿ - 1)/(r - 1)

therefore,

S₉ = (0.27)(1.33⁹ - 1)/(1.33 - 1)

S₉ = 9.84

Answer:

38

Step-by-step explanation:

Range= highest number - lowest number

Range= 43-5

=38

Step-by-step explanation:

Step 1:  Find the highest number and the lowest number

Highest Number → 43

Lowest Number → 5

Step 2:  Find the range by subtract the lowest number from the highest number

Highest Number - Lowest Number

43 - 5

38

Answer:  The range is 38

Answer:

Mean, m = 72

Step-by-step explanation:

It is given that, Carl earned grades of 62, 78, 59, and 89 on four math tests.

It is required to find the mean of his grades.

Mean of a data is given by :

[tex]m=\dfrac{\text{sum of observations}}{\text{total no of observations}}[/tex]

Sum of observations is 62 + 78 + 59 + 89 = 288

Total no of observations are 4

So, mean of his grades is :

[tex]m=\dfrac{288}{4}\\\\m=72[/tex]

So, the mean of his grades is 72.

Option C is correct. If Carl earned grades of 62, 78, 59, and 89 on four math tests, the mean of his grades is 72

Mean is the average of the given data. It is expressed mathematically as:

[tex]\overlibe x=\frac{\sum x}{N}[/tex]

[tex]\sum x[/tex] is the sum of the variables

N is the total test taken

[tex]\sum x = 62 + 78 + 59 + 89\\\sum x = 288\\\\N = 4[/tex]

Substitute the resulting values into the mean formula:

[tex]\overline x = \frac{288}{4}\\ \overline x =72[/tex]

This shows that the mean of his grades is 72

Learn more here:https://brainly.in/question/2401311

Answer:

D = 23.4 units

Step-by-step explanation:

In the attached file

Answer:

68

Step-by-step explanation:

Divide the circumference by pi, approximately 3.14, to calculate the diameter of the circle. For example, if the circumference equals 56.52 inches, divide 56.52 by 3.14 to get a diameter of 18 inches. Multiply the radius by 2 to find the diameter.

Answer:

the answer is attached to the picture

Answer:

Athena = 10,265 km

Vesta = 102,650 km

Juno = 102,650 km

Ceres = 2,053,000 km

Apollo = 1,026,500 km

Step-by-step explanation:

Athena = 20,530 / 2 = 10,256

From there, you can work out the rest by multiplying accordingly.

Hope this helps and made sense! :)

the percent difference is 60%

Answer:2k-13

Step-by-step explanation:

Answer:

2k-13.

Step-by-step explanation:

We can simplify this equation using the Distributive Property:

-3(2 + 4k) + 7(2k-1) becomes

-6 - 12k + 14k -7

Combining like terms gets us:

2k-13.

Answer:

  B.  5x^2 -4

Step-by-step explanation:

(f+g)(x) = f(x) + g(x)

  = (4x^2 +1) +(x^2 -5) . . . . . . substitute for f(x) and g(x)

  = x^2(4 +1) +(1 -5) . . . . . . . . collect terms

(f+g)(x) = 5x^2 -4