Terri and Kay are stocking cereal boxes in a middle aisle for a store display.

Together, they stocked 60 cereal boxes on the display. Kay stocked 8 more than of the 1/3 boxes that Terri
stocked. Which system of equations can be used to determine the number of cereal boxes Terri stocked
and the number of cereal boxes Kay stocked for the store display?
Let x represent the number of boxes Terri stocked and y represent the number of boxes Kay stocked.

Answer:

11

Step-by-step explanation:

Because it's +5 every number

Answer:

11

Step-by-step explanation:

-9 +5=-4

-4+5=1

1+5=6

6+5=11

Answer:

Multiplicative Identity

Step-by-step explanation:

This is what they all basically mean:

Additive Identity - addition

Associative Property - simplifying

Distributive Property - multiplying brackets, or expanding

Multiplicative Identity - multiplication

In this equation, you first expand 16(4x-1) which uses multiplication but only has one bracket meaning, you use multiplicative identity first.

Answer:

Step-by-step explanation:

Answer:

If the * is supposed to be multiplication, then my answer is : 2(x-y)/(x^2+y^2-xy)

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

You do 50% of 82 which is 41.

Answer: 41 empty barrels

Step-by-step explanation:

if Jack rolled 82 total barrels and 50% of them were empty, that is the same as taking 82 times .5, which gives us 41. This is how we know he rolled 41 empty barrels onto the ships deck.

Solution:

[tex]\text G\text i\text v\text e\text n\ \text e\text x\text p\text r\text e\text s\text s\text i\text o\text n: 20x^{3} + 34x^{2} + 6x[/tex]

Step-1: Find the GCF of the terms.

[tex]20x^{3} \ \ \ = \ \ \ 2 \times 2 \times 5 \times x \times x \times x \\34x^{2} \ \ \ = \ \ \ 2 \times 17 \times x \times x \\ 6x \ \ \ \ \ \ = \ \ \ 2 \times 3 \times x[/tex]

GCF = 2x

Step-2: Factor the expression using the GCF.

[tex]20x^{3} + 34x^{2} + 6x \\\\ {2x(10x^{2} + 17x + 3)}[/tex]

Step-3: Further factorize.

[tex]{2x(10x^{2} + 17x + 3)}[/tex]

[tex]2x(2x + 3)(5x + 1)[/tex]

Thus, the factorized expression is [tex]2x(2x + 3)(5x + 1)[/tex].

The mean of the data set is 6.8.

Mean is the average value of the given set of observations. In statistics, we also come across different types of mean such as Arithmetic, Geometric and Harmonic mean.

Given

The data set is 14, 7, 2, 8, 3.

The mean of the data set is given by;

[tex]\rm Mean = \dfrac{Sum \ of \ all \ data}{Number \ of \ data}\\\\Mean =\dfrac{14+7+2+8+3}{5}\\\\Mean = \dfrac{34}{5}\\\\Mean=6.8[/tex]

Hence, the mean of the data set is 6.8.

To know more about mean value click the link given below.

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Answer:

D. hottub

Step-by-step explanation:

Answer:

Length = 45m

Breadth = 15m

Step-by-step explanation:

Dimensions of Rectangular field:

Let the breadth (B)=BC = x m

Length (L) = AB = 3x m

width of the road (w) = 5 m

Dimensions of inner rectangle:

length (l) = EF = L-2w

= 3x - 2×5

= (3x-10) m

breadth (b)=EH = B-2w

= (x-10) m

Given ,

Area of the path =500 m²

=> Area of ABCD - Area of EFGH = 500

=> L×B - l×b=500

=> (3x)× x - (3x-10)(x-10)=500

=> 3x²-(3x²-30x-10x+100)=500

=> 3x²-3x²+30x+10x-100=500

=> 40x=500+100

=> 40x = 600

=> x = 600/40

=> x = 15

Therefore,

Length (L) = 3x = 3×15 = 45m

Breadth (B) = x = 15m

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Answer: 40 degrees

Step-by-step explanation:

Answer:

25.12 feet

.............................

Answer:

C = 25.12 Ft.

Step-by-step explanation:

Formula: C = 2πr

C = 2π (4)

C = 8π

C = 8 (3.14)

C = 25.12 Feet

Answer: Its D

Step-by-step explanation:

Thank me later.

Answer:

D

Step-by-step explanation:

4x - 12 - x  ≥ 3

Add 12 to both sides.

4x - x ≥ 15

Subtract x (or 1x) from 4x

4x - x = 3x

3x ≥ 15

Divide both sides by 3.

x ≥ 5

Hope I helped :)

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Answer: 121 meters

Step-by-step explanation:

In picture

Answer:

x= -7              x= 5

Step-by-step explanation:

2x + 1 = -13

    -1      -1

2x    =   -14

/2           /2

x       =    -7

x + 2 + 4 = 11

x + 6 = 11

  -6    -6

x      =   5

hope this helps (:

The solutions of the given linear equations are:  x = 7, - 13; x = 6, - 7; x = 5, - 9, respectively.

A linear equation is an equation that has on or multiple variables with the highest power of the variable is 1.

Given equations are:

1. |3x + 9| = 30

⇒ ( |3x + 9| )² = (30)²

⇒ 9x² + 54x + 81 = 900

⇒ 9x² + 54x + 81 - 900 = 0

⇒ 9x² + 54x - 819 = 0

⇒ 9(x² + 6x - 91) = 0

⇒ (x² + 6x - 91) = 0

⇒ (x + 13)(x - 7) = 0

⇒ x = 7, - 13

2. |2x+1| = - 13

⇒ (|2x+1|)² = (- 13)²

⇒ 4x² + 4x + 1 = 169

⇒ 4x² + 4x - 168 = 0

⇒ 4(x² + x - 42)= 0

⇒ (x² + x - 42)= 0

⇒(x - 6)(x + 7) = 0

⇒ x = 6, - 7

3. |x + 2| + 4 = 11

⇒ |x + 2| = 7

⇒ (|x + 2|)² = 7²

⇒ x² + 4x + 4 = 49

⇒ x² + 4x - 45 = 0

⇒ (x - 5)(x + 9) = 0

⇒ x = 5, - 9

Learn more about linear equation here: https://brainly.com/question/17038547

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Answer:

7.8 is 7.81 because it hasn't changed 1-5 doesn't round up and this one didn't therefore the answer is 7.81 or 7.809

Answer:

956

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

C because the symbol means Greater then or Equal too

So anything 90 or above would be true

==========================================

Work Shown:

f(x) = x^3 - x^2 + x - 1

f ' (x) = 3x^2 - 2x + 1

f ' (2) = 3(2)^2 - 2(2) + 1

f ' (2) = 9

In step 2, I used the power rule [tex]\frac{d}{dx}x^n = nx^{n-1}[/tex]

Answer:

True, the diameter=2in and the circumference=6.28

Step-by-step explanation:

The circumference, C, of a circle is found by the following equation: C = 2 x pi x r where r equals the radius of the circle (or half its diameter) and pi = 3.14159 (a constant).

Thus, 6.28 = 2 x pi x r

Solving for r: 6.28/(2 x pi) = r

or: 6.28/(2 x 3.14) = 6.28/6.28 = r

thus r = 1 and since the diameter equals 2 x r, the diameter is 2.

Answer:

This matrix is amplified by exponential sequencing

Answer:

[tex]-2b^2+17b-15[/tex]

Step-by-step explanation:

Given expression:

[tex](b^2+13b-9)-(6-4b+3b^2)[/tex]

Apply rule [tex](a)=a[/tex]:

[tex]=b^2+13b-9-(6-4b+3b^2)[/tex]

Apply the distributive law  [tex]-(a-b)=-a+b[/tex] :

[tex]=b^2+13b-9-6+4b-3b^2[/tex]

Subtract the numbers:

[tex]=b^2+13b-15+4b-3b^2[/tex]

Group like terms:

[tex]=b^2-3b^2+13b+4b-15[/tex]

Combine like terms:

[tex]=-2b^2+17b-15[/tex]

Answer:The solution is in the attached file

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

x^3+2x+2+2/x

Step-by-step explanation:

Answer:

D, B, E

Step-by-step explanation:

Try plotting the graph on desmos

Answer:

The STO button stands for store so it will save the number in the memory and to get it back press m

Answer:

-2.8 or -14/5

Step-by-step explanation:

To divide one fraction by another, there is a really cool method called Keep Change Flip

Keep the first fraction

Change the division sign to multiplication

Flip the numbers on the last fraction

Let's try it out.

Keep the 1/5

Change the ÷ to a ×

Flip the -1/14 to a -14/1

1/5 × -14/1

Multiply the top numbers by each other first

1 × -14 = -14

Now the bottom numbers

5 × -1 = -5

The fraction we have now is -14/5

It can also be written as -2.8

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The true solution of the  [tex]\rm 3log2+log8=2log(4x)[/tex]  is 2.

It is given that the:

[tex]\rm 3log2+log8=2log(4x)[/tex]

It is required to find the value of [tex]\rm x[/tex].

It is another way to represent the power of numbers ie.

[tex]\rm a^b=c\\\rm log_ac=b[/tex]

Some properties of  Logarithm:

[tex]\rm logx+logy=log(xy)\\\rm x logy=logy^x[/tex]

We have:

[tex]\rm 3log2+log8=2log(4x)\\\\\rm By \ using \ properties \ of \ Logarithm\\\\\rm log2^3+log8=log(4x)^2\\\rm log(8\times8)=log16x^2\\\rm log64=log16x^2\\\rm 64=16x^2\\\rm 4=x^2\\x=2[/tex]

Thus, the true solution of the given expression is 2.

Learn more about the Logarithm here:

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Answer: B

Step-by-step explanation:

Simple because Im the man the simple