Rex bought a rectangular box of tissues measuring 9 inches by 5 inches by 4 inches. If each tissue has a volume of 0.25 cubic inch, how many tissues are in the box?

A.45
B.180
C.600
D.720

Answer:

x = - 2 -[tex]\sqrt{15\\[/tex]

x = - 2 + [tex]\sqrt{15[/tex]

Step-by-step explanation:

The given equation needs to be solved by completing the squares.

The required values are -2+√15, -2-√15

The given equation is [tex]x^2+4x-11=0[/tex]

The general form of a quadratic equaiton is [tex]ax^2+bx+c=0[/tex]

Comparing with the given equation we have

a = 1

b = 4

c = -11

Rearranging the equation

[tex]x^2+4x=11[/tex]

Finding (b/2)²

[tex](\dfrac{4}{2})^2=4[/tex]

Adding to both sides of the equation

[tex]x^2+4x+4=11+4\\\Rightarrow (x+2)^2=15\\\Rightarrow x+2=\pm\sqrt{15}\\\Rightarrow x=-2+\sqrt{15},-2-\sqrt{15}[/tex]

Learn more about completing the squares:

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Answer:

y= 3x + 5

Step-by-step explanation:

The +5 represents the starting 5 action figures, and the 3x represents the 3 action figures he collects each month.

Answer:

A 303.66

Step-by-step explanation:

b1+b2÷2×h is the formula.

So step by step.

29.2+19=48.2

48.2÷2=24.1

24.1×12.6=303.66

The area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

It is given that the trapezoid has a height of 12.6 in and its sides 19 in, 29.2 in, and 14.5 in respectively.

It is required to find the area of a trapezoid.

It is defined as the quadrilateral having a four-sided closed shape with two sides parallel to each other.

We know the formula for the area of a trapezoid:

[tex]\rm Area = \frac{a+b}{2} \times h[/tex]   Where 'a' is the long base, 'b' is the short base and 'h' is the height.

We have a = 29.2 in

               b = 19 in

               h = 12.6

By putting these values in the formula, we get:

[tex]\rm=\frac{a+b}{2} \times h\\\\=\frac{29.2+19}{2} \times 12.6\\\\=\rm \frac{48.2}{2} \times 12.6\\\\\rm= 24.1 \times 12.6\\\\\rm= 303.66 \ in^2[/tex]

Thus, the area of a trapezoid is 303.66 square in having a height of 12.6 in and its long and short bases are 29.2 in and 19 in respectively.

Learn more about the trapezoid here:

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Answer:

slope is negative

m=-1

Step-by-step explanation:

the slope of a line is positive if it passes through Quadrants III and I. The slope is negative if it passes through II and IV.

yes, this line passes through Quadrant I alongside II and IV, but it doesn't pass through Quadrant III (it has to pass through Quadrant III to be positive)

that means that the slope of this line must be negative

We can calculate the slope (m) with this formula:

(y2-y1)/(x2-x1)

we can pick two points- for example, (1,3) and (2,2)

label the points:

x1=1

y1=3

x2=2

y2=2

now substitute into the equation

m=(2-3)/(2-1)

m=-1/1

m=-1

the slope is -1

Hope this helps! :)

Each piece of ribbon that had been cut has a length of approximately 3.7 m.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The total length of ribbon to tie 12 gifts is calculated as,

⇒ 12 gifts × 1.85 m/gift = 22.2 m

The length of the ribbon remaining is calculated as,

Total length = [22.2 / (1/3)] x 2/3

Total length = 66.6 x 2/3

Total length = 44.4

The length of each piece of ribbon that had been cut is calculated as,

Length of each piece = 44.4 m ÷ 12 = 3.7 m

More about the Algebra link is given below.

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Answer:a) $5.64  b)  21 ounces of tea leaves

Step-by-step explanation:

Step 1

5 ounces of tea leaves can be bought with  $2.35

1 ounce of tea can be bought with =$2.35/5 =$0.47

12 ounces at the same rate  can be bought with

=12 x $0.47 = $5.64

b) 5 ounces of tea leaves can be bought with  $2.35

? Ounces of tea leaves can be bought with $10

$2.35 =5 ounces of tea

$10 = ? ounces of tea

           = (10 x  5)/2.35

           =50/2.35

=21.27 rrounded to 21 ounces of tea leaves

Answer:

I believe the answers are;

m<1 = 50°

m<2 = 130°

m<3 = 50°

m<4 = 130°

m<5 = 40°

m<6 = 30°

:)

Answer:

14587676

Step-by-step explanation:

Answer:

Step-by-step explanation:

we are given opposite, adjacent and hypotenuse

and said to find cos(B)

recall trigonometric identity [tex]\cos(\theta)=\dfrac{adj}{hypo}[/tex]

let adj and hypo be 9 and 41 respectively

so

[tex] \displaystyle \: \cos( \beta ) = \frac{9}{41} [/tex]

hence our answer is b

Answer:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24...

Step-by-step explanation:

Multiple of any number is a number which can be divided exactly by that number. The Multiples of a number are formed by multiplyng it with other numbers like 1,2,3,etc.

Answer:

y < 1

Step-by-step explanation:

the value of y in the whole part is less than or equal to 1.

Step-by-step explanation:

the answer to your question is

16/9

Answer:

16/9

Step-by-step explanation:

remove the bracket

Answer:

7

Step-by-step explanation:

3*7+4=25

5*7-10=25

Answer:

top right one

Step-by-step explanation:

Answer:

Nope

Step-by-step explanation:

Rigid transformations don't change the area or perimeter of a shape.

Answer:

1680.25

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:x = 8.5

Step-by-step explanation:

1. Combine like terms

62+75+9 = 146

2.Set up equation

146+4x = 180

3. Subtract 146 to each side

146-146 + 4x = 180-146 = 34

4. Divide by 4

4x/4 = 34/4

X= 8.5

Answer:

The speed of the plane is [tex]v=1.2\: m/s[/tex]

Step-by-step explanation:

The vector (5,6) represents a point in the coordinate system time-position.

So, we have that at t = 5 s the position is x = 6.

Let's recall that the slope of this vector is the speed, then using the tangent definition:

[tex]v=\frac{x}{t}=\frac{6}{5}[/tex]

[tex]v=1.2\: m/s[/tex]

I hope it helps you!

Answer:

2/5 or 40%

Step-by-step explanation:

.40 is 40 hundredths or 40/100

40/100 can be reduced to 20/50 and reduced again to 10/25 and one more time to 2/5

Percentages are fractions out of 100 so 40/100 would be 40%.

Answer:

No, a unit rate is a rate for one quanity such as 1 drink for 0.75 cents.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

all triangles have a sum of 180 degrees. so 115+35=150

180-150= 30

Answer:

first 4 terms: 3,1,-1,-3

10th: -35

Step-by-step explanation:

Please mark as brainliest if answer right

Have a great day, be safe and healthy  

Thank u  

XD

Answer:

3, 1, - 1, - 3 and - 15

Step-by-step explanation:

To find the first 4 terms substitute n = 1, 2, 3, 4 into the rule, that is

a₁ = 5 - 2(1) = 5 - 2 = 3

a₂ = 5 - 2(2) = 5 - 4 = 1

a₃ = 5 - 2(3) = 5 - 6 = - 1

a₄ = 5 - 2(4) = 5 - 8 = - 3

The first 4 terms are 3, 1, - 1, - 3

For 10th term substitute n = 10 into the rule

a₁₀ = 5 - 2(10) = 5 - 20 = - 15

Answer:

[tex] - x - 3[/tex]

Step-by-step explanation:

1) regroup term.

[tex] - \frac{1}{2} (8x - 4) + 3x - 5[/tex]

2) Simplify 1/2 ( 8x - 4 ) to 8x - 4/2.

[tex] - \frac{8x - 4}{2} + 3x - 5[/tex]

3) Factor out the common term 4.

[tex] - \frac{4(2x - 1)}{2} + 3x - 5[/tex]

4) Simplify 4( 2x - 1 ) / 2 to 2( 2x - 1).

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

5) Expand by distributing terms.

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

6) Remove parentheses.

[tex] - 4x + 2 + 3x - 5[/tex]

6) Collect like terms.

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

8) Simplify.

[tex] - x - 3[/tex]

Therefor, the answer is -x - 3.

Answer:

yes

Step-by-step explanation:

Answer:

the slope is 2

Step-by-step explanation: the slope is the rise over run

The answer is 2. In the future try the rise over run method and when the line is / the slop is positive and when it is like \ the slope negative.