A cereal box is 6.2 inches high, 8 inches long, and 2.5 inches wide. What is the volume
of the cereal box rounded to the nearest tenth.
49.6
41.3
124
248

Given:

The expression is:

[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]-6\dfrac{1}{4}-2\dfrac{1}{8}[/tex]

Write the mixed fractions in the form of improper fractions.

[tex]=-\dfrac{6(4)+1}{4}-\dfrac{2(8)+1}{8}[/tex]

[tex]=-\dfrac{24+1}{4}-\dfrac{16+1}{8}[/tex]

[tex]=-\dfrac{25}{4}-\dfrac{17}{8}[/tex]

Taking LCM, we get

[tex]=\dfrac{2(-25)-17}{8}[/tex]

[tex]=\dfrac{-50-17}{8}[/tex]

[tex]=\dfrac{-67}{8}[/tex]

Now write this improper fraction in the form of mixed fraction.

[tex]=-\dfrac{64+3}{8}[/tex]

[tex]=-\left(\dfrac{64}{8}+\dfrac{3}{8}\right)[/tex]

[tex]=-\left(8+\dfrac{3}{8}\right)[/tex]

[tex]=-8\dfrac{3}{8}[/tex]

Therefore, the correct option is B.

Answer:

[tex] \sqrt{25 \times 3 \times 27} [/tex]

[tex] \sqrt{5²×9²} [/tex]=±[5×9]=±45

Step-by-step explanation:

hope it is helpful to you (｡◕‿◕｡)➜(｡◕‿◕｡)➜

Answer:

It has no solution.

Step-by-step explanation:

6x + 3 + 4x = 9 + 10x

10x + 3 = 9 + 10x

10x + 3 - 3 = 9 - 3 + 10x

10x = 6 + 10x

10x - 10x = 6 + 10x - 10x

0 ≠ 6

It has no solution.

Answer:

Z' = (6, 3 )

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

Z (3, 6 ) → Z' (6, 3 )

9514 1404 393

Answer:

  C.  26

Step-by-step explanation:

The two marked angles are "vertical angles." They are congruent.

  x +20 = 3x +8 . . . . . congruent angles have the same measure

  12 = 2x . . . . . . . . . subtract x+8 from both sides

  6 = x . . . . . . . . . divide by 2

  ∠PTQ = (x+20)° = (6+20)° = 26°

Answer:

Solutions given:

we have

<RTS=PTQ[vertically opposite angle are equal]

so

3x+8=x+20°

3x-x=20-8

2x=12

x=12/2=6

x=6

m<PTQ=6+20=26°

option c.26.

Answer:

C.

Step-by-step explanation:

Answer:

18.65 cm

Step-by-step explanation:

the surface area of a cylinder is the combination of the two circles (1 at the top, 1 at the bottom) and the area of the side wall or "mantle".

so, two equally sized circle areas and the side area.

this side area is nothing else than a rectangle that is bent around and connected to the circumference of both circles. therefore, the side lengths of this rectangle must be the cylinder height and the length of the circumference of the circles.

that is also why we need the cylinder height to get its surface area (and also volume by the way).

circle area : pi × r²

rectangle area : length × width

cylinder surface area = 2 circle areas + side rectangle area

=> 1800 = 2 × (pi×r²) + (2×pi×r)×h = 2×pi×100 + 2×pi×10×h

=> 1800 = 200×pi + 20×pi×h

=> (1800 - 200×pi) = 20×pi×h

=> (1800 - 200×pi) / (20×pi) = h = 18.65 cm

Answer:

[tex] \displaystyle x \approx 47.44[/tex]

Step-by-step explanation:

we are given a right angle triangle

we want to figure out x i.e hypotenuse

in order to do so we can consider trigonometry i.e sin

remember that,

[tex] \displaystyle \sin( \theta) = \frac{opp}{hypo} [/tex]

given that,theta=21° and opp=17 and hypo=x

Thus substitute:

[tex] \displaystyle \sin( {21}^{ \circ} ) = \frac{17}{x} [/tex]

cross multiplication:

[tex] \displaystyle x\sin( {21}^{ \circ} ) = {17}[/tex]

divide both sides by sin21°:

[tex] \displaystyle x \frac{\sin( {21}^{ \circ} ) }{ \sin( {21}^{ \circ}) }= \frac{17}{ \sin( {21}^{ \circ} ) }[/tex]

By using calculator we acquire:

[tex] \displaystyle x \approx 47.44[/tex]

Answer:

0.21

Step-by-step explanation:

Move the decimal two places to the left.

Answer:

24 full weeks needed

Step-by-step explanation:

30 + 3x = 100

3x = 70

x = 23.333

24 weeks needed

Answer:

It is y=2x+4.

Step-by-step explanation:

Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.

The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).

Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).

From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.

With this, we can plug in the parts we need to get the final answer:

y = (2 Slope) x + (4 Y-Intercept)

y=2x+4

Answer:

[tex]y=2x+4[/tex]

Step-by-step explanation:

Written in the form [tex]y=mx+c[/tex]

The constant c is where the line intercepts the y-axis.

From the graph we can determine that c is equal to 4.

m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] where dy is the difference in y-coordinates between two points and dx is the difference between the x-coordinates.

From the graph we can pick out 2 points that lie on the line:

Point 1 (0,4)

Point 2 (1,6)

So the slope is [tex]\frac{4-6}{0-1} =\frac{-2}{-1}=2[/tex]

Now let's rewrite it in the form [tex]y=mx+c[/tex].

[tex]y=2x+4[/tex]

Answer: 10 mph

Step-by-step explanation:

Answer:

2 2/3

Step-by-step explanation:

4 × 2/3

4/1 × 2/3

8/3

2 2/3

The answer is 2 2/3.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

4 containers of blueberries to make blueberry muffins, each container holds 2/3 cup,

she also used 1 2/4 cups of sugar to make the blueberry muffins and 1 1/4 cups of sugar to make banana bread

now, we get,

4 × 2/3

=4/1 × 2/3

=8/3

=2 2/3

hence, The answer is 2 2/3.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

Answer:

10 cm

Step-by-step explanation:

the can is shaped like a cylinder

first step is to find the radius and then multiply the figure by 2

volume of a cylinder = nr^2h

n = 22/7

r = radius

903 = 11.5 x r^2 x 3.14

r^2 = 903 / (3.14 x 11.5)

r = 5 cm

diameter = 10cm

Answer:

X+2=2x

x+8=8x

(2x).(8x)=16x

Answer:

y=x+12-10

Step-by-step explanation:

0=x+12-10

-x=2

x=-2

Answer:

y - 9 = -8(x + 2)

Step-by-step explanation:

What is the equation in point-slope form for the line parallel to y=-8x - 5 that contains j(-2, 9)

Step 1

y intercept =

y = mx + b

y=-8x - 5

m = -8, b = -5

Point slope form

y - y1 =m( x - x1)

We are given coordinates:

j(-2, 9) = (x1, y1) where ,

x1 = -2

y1 = 9

Hence, our point slope form equation is:

y - 9 = -8(x -(-2))

y - 9 = -8(x + 2)

Answer:

sorry, but I think u got yr question incomplete.

u can re post it with figure

Answer:

What is the question to this?

Answer: 5 cm

Step-by-step explanation:

since the last step in finding area of a triangle is divide by 2, multiply the area by 2 to get the original number

30 x 2 = 60

area/base = height

60/12 = 5

Answer:

a. n (table)     : 1  2  3  4  5  6

  s (students):4  6  8 10 12 14

b. Arithmetric, since it is adding and corresponding with the numbers

d. 32

not sure about c though. hope this helped.

40÷95= 0.42

so I would say about 42.1%

><

Answer:

The ratio of student to teacher is 12.3 to 1

Answer:

An experiment is done to see the health effect of large amounts of aspirin on rats. ... 2. Apples sell for 43 cents a pound. How much do 3.2 pounds of apples cost? ... A solid gold nugget is 23.5 ounces. How much is it worth? 23.5 oz x. $500 lez ... 5. A chocolate bar weighs 4.00 ounces.

Step-by-step explanation:

Answer: Wrong formula, forgot to input the radius instead

Step-by-step explanation:

Formula is pie times radius^2

Find radius by dividing the diameter by half then multiplying it by pi (3.14)

Answer:

I would say the first one

Step-by-step explanation:

The others don't make any sense, and that is the only one that mentions 2 x and 5 1s.

Answer:

number 4

Step-by-step explanation:

count onn me