The company makes a single serving cereal box that contains a volume of 1.2 ounces of cereal. They plan to make an extra large box for school cafeterias. The extra large box will be a dilation of the single serving box using a scale factor of 9/2
. How many ounces of cereal will the extra large box contain?

Answer:

C. 112 cubic inches

Step-by-step explanation:

Two solve this weird-looking house problem, first let's see what it is made of.

Split the area into two volumes.

V = 1/3lwh is the volume for a triangular prism and V = lwh is the volume for a rectangular prism.

Let's now solve for the triangular prism.

The length and width are the same as that of the cube. The cube's length and width is 4 in.

V = 1/3(4)(4)(6) = 32 cubic inches

Now Solve for the cube.

V = lwh = 4(4)(5) = 80 cubic inches

Total Volume = 80 + 32 = 112 cubic inches

Answer:

a) Vertex is at (-3, -1)

b) y-intercept is at (0,8)

c) x intercept is at (-4,0) and (-2,0)

d) x=-3

Step-by-step explanation:

The vertex of a parabola is the lowest or highest point, implying that all points are reflected across it. It's the only y value that doesn't have a corresponding pair.

For example, -1 and 1, -3 and 3, and so on.

The vertex is at (-3,-1) because it is the sole point without a corresponding y value (-3,-1)

The y-intercept is where the parabola meets the y axis or when the x value equals 0. To determine the y-intercept, simply find when x = 0.

intercept y: (0,8)

The x-intercepts are the same as the y-intercepts; you must determine where the parabola crosses the x-axis or when y = 0.

x intercept 1:(-4,0)

x intercept 2: (-2,0)

The axis of symmetry is also the x coordinate of the vertex which is 3 so

x = 3

Answer:

A = 480 mm²

Step-by-step explanation:

the area (A) of a rhombus is calculated as

A = [tex]\frac{1}{2}[/tex] product of diagonals

The diagonals are perpendicular bisectors of each other , so

Δ XVW is a right triangle

using Pythagoras' identity in the right triangle , then

XV² + WV² = WX²

XV² + 24² = 26²

XV² + 576 = 676 ( subtract 576 from both sides )

XV² = 100 ( take square root of both sides )

XV = [tex]\sqrt{100}[/tex] = 10

then

XZ = 2 × XV = 2 × 10 = 20

and

WY = 2 × WV = 2 × 24 = 48

A = [tex]\frac{1}{2}[/tex] × XZ × WY = [tex]\frac{1}{2}[/tex] × 20 × 48 = 10 × 48 = 480 mm²

Answer:

25

Step-by-step explanation:

2.5 is 1 so 2.5 times 10 equals 25

\

Answer:

ACROSS

1. LINE

6. LINE SEGMENT

8. OBTUSE ANGLE

11. RIGHT ANGLE

12. DOT

DOWN

2. ACUTE ANGLE

3. PLAIN

4. PROTECTOR

5. VERTEX

6. STRAIGHT LINE

7. PLANE

9. STRAIGHT ANGLE

10. ANGLE

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

We know that the very bottom side is 2 because 6-4 is 2. Then add up all the sides which equals 30

Answer:

that is corret

Step-by-step explanation:

it sound goos

Answer:

$405

Step-by-step explanation:

3.75-1.50=2.25

2.25 x 600 = 1350

30 % of 1350 is 405 so it would equal $405

Answer:

11 graders are Juniors in High School

Step-by-step explanation:

Secondary or high schools enroll students in the upper grades, generally 9-12 with variations.

Pls, choose me as brainliest!

The polynomial is prime because the provided polynomial can not be factored shown in the X-method chart.

X-method is the method to find the factors of the polynomial equation.

An x-method chart shows the product a c at the top of x and b at the bottom of x.

Above the chart is the expression,

[tex]ax^2+bx+c[/tex]

The given polynomial in the problem is,

[tex]x^2 +8x - 6[/tex]

Let's check if the factors of polynomial. To find the factor, we need, to find the two number whose sum or different is 8 and the product is 6 (6 × 1).

As there is no number which gives has the sum or different is 8 and the product is 6 (6 × 1). Thus, the above polynomial can not be factored. Thus this polynomial is prime.

Thus, the polynomial is prime because the provided polynomial can not be factored, shown in the X-method chart.

Learn more about the X method here;

https://brainly.com/question/24379507

Answer:

d

Step-by-step explanation:

cuz i know

Answer:

The age of Jamal is 8 years.

And the age of his father is 32 years.

Step-by-step explanation:

=> let the age of Jamal be x and his father's age be y

=> so , A.T.Q ,

x+y = 40....i)

Find the value of y from here , that's y = 40-x .....

Now, After 4 years ,

=> 3(x+4) = (y+4)

=> 3x+12 = y+4

=> 3x+8 = y ...ii)

putting the value of y in equation ii)

=> 3x+8 = 40-x

=> 3x+x = 40-8

=> 4x = 32

=> x = 8

now ,

=> y = 40-x

=> y = 40-8

=> 32

Answer:

5

Step-by-step explanation:

20×2÷8

hope it helps you

Answer: 4

Step-by-step explanation:

Answer:

B is the answer

Step-by-step explanation:

This answer is reasonable because it shows that 398 + x (the amount that still has to be distributed) equal the total amount of middle school students who ordered a year book.

total books = 432

total books distributed = 398

total books needed = x

equation:

[tex]\tt x+398=432;x=34[/tex]

The main advantage with boxplots (aka box and whisker plots) is that we can spot the five number summary very quickly. The five number summary consists of these items:

The min and max are the left-most and right-most tips of the whiskers, assuming there aren't any outliers. They are the smallest and largest items.

The left and right edges of the box represent Q1 and Q3 in that order. The vertical line inside the box is the median. The vertical line does not have to be at the exact center of the box.

Answer:

  4444444444444444444

Step-by-step explanation:

BELIEVE ME ON THIS ONE

Answer:

-(x-y)^2 because both x have a power to the two and i'm gonna bet that it's asking for a negative so there you go!

Answer:

11.277 or 11.28

or 11 7/25

Step-by-step explanation:

you should just multiply then turn to a mixed number. please mark as brainliest

Answer:

Therefore, he should buy 6 orders of the 10-burrito special.

Step-by-step explanation:

12 x 6 = 72

7.50 x 10 = 75

Answer:

Step-by-step explanation:

Calculation

Divide your interest rate by the number of payments you'll make that year. ...

Multiply that number by your remaining loan balance to find out how much you'll pay in interest that month. ...

Subtract that interest from your fixed monthly payment to see how much in principal you will pay in the first month.

Answer:

Area of Circle = π[tex]r^{2}[/tex]

Step-by-step explanation:

Diameter = 40 in ....... (given)

Radis = 1/2.40 = 20 in

Area of Circle = π[tex]r^{2}[/tex]

= 22/7.[tex]20^{2}[/tex]

= 1 257,14 inches squared

The intensity of soundwave at a distance of 12 miles is 222.22 miles.

The link between two variables whose ratio is equal to a constant number is known as a direct proportional, while the multiplication of two variables whose ratio is equal to a constant number is known as an inversely proportional.

It is given that the intensity of a radio signal from the radio station varies inversely as the square of the distance from the station. therefore, the relation between the intensity of the radio wave(I) and distance(r) can be written as,

[tex]I\propto \dfrac{1}{r^2}\\\\\\I=k \dfrac{1}{r^2}[/tex]

Now, it is stated that the intensity of the radio wave at a distance of 2 miles is 8000 units, therefore, substituting the value in the above equation to get the value of the constant,

[tex]I=k\dfrac{1}{r^2}\\\\8000=k\dfrac{1}{2^2}\\\\8000=k\dfrac{1}{4}\\\\k = 8000 \times 4 = 32,000\rm\ units[/tex]

Thus, the value of the constant k is 32,000 units, and the equation of the intensity of the radio signal can be written as,

[tex]I=\dfrac{32,000 }{r^2}[/tex]

Further, the intensity of soundwave at a distance of 12 miles will be equal to,

[tex]I=\dfrac{32,000 }{r^2}\\\\I=\dfrac{32,000 }{12^2}\\\\I=\dfrac{32,000 }{144}\\\\I = 222.22\rm\ units[/tex]

Hence, the intensity of soundwave at a distance of 12 miles is 222.22 miles.

Learn more about Inversely proportional:

https://brainly.com/question/2548537

Answer:

Pretty sure its 540

Step-by-step explanation:

Answer:

3 and -14

Step-by-step explanation:

Find the factors of -42 and add them to see what they give:

1 × -42 = 42, -41

2 × -21 = 42, -19

3 × -14 = 42, -11

6 × -7 = 42, -1

The second to last is right so the numbers are 3 and -14

Answer:

Ans = 0.75

Explanation:

Let's use m.

m = 6 / 8 = 3 / 4 = 0.75

Answer:

Slope is 3/4

Step-by-step explanation:

Each point given is an x and a y, like this (x, y)

For the top number (numerator) of your answer, subtract the y's from both points.

On top: 9 - 3

On the bottom (denominator) subtract the x's.

Below: 5 - -3

So slope is:

9-3 / 5 - -3

6/8

Simplify

6/8

= 3/4

The slope is 3/4.

With the Hubble's constant H₀, the estimated age of the universe would be:

T = 8,332,452,617.49 years.

We know that the age of the universe is something near to the time the galaxies needed to reach their current distance:

T = D/V

And by Hubble's law, we know that:

V = H₀*D

Then we can write:

T = D/(H₀*D) = 1/H₀

So, we can say that the age of the universe is something near the inverse of Hubble's constant.

Then we have:

T = 1/(36 km/s*Mly) = (1/36)  s*Mly/km

Now we need to perform the correspondent change of units.

1 Mly = 1 million light-years

Such that:

1 ly = 9.461*10^12 km

Then 1 million light-years over km is equal to:

1 Mly/km = 1,000,000*(9.461*10^12 km)/km = 9.461*10^18

Then we can replace it:

T = (1/36) s*Mly/km = (1/36)*9.461*10^18 s

T = 2.628*10^17 s

This is the age in seconds, but we want it in years.

We know that:

1 year = 3.154*10^7 s

Then to change the units, we compute:

T = (2.628*10^17 s/3.154*10^7 s)* 1 yea

T = 8,332,452,617.49 years.

If you want to learn more about Hubble's constant, you can read:

https://brainly.com/question/9770981

Answer:

39 cm ²

Step-by-step explanation:

Answer:

x = 38 , y = 19

Step-by-step explanation:

using the tangent ratio in the right triangle and the exact valu

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{19\sqrt{3} }[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

[tex]\sqrt{3}[/tex] × y = 19[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

y = 19

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

using the cosine ratio in the right triangle and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{19\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

[tex]\sqrt{3}[/tex] × x = 38[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 38

Answer:

Step-by-step explanation:

No. of 25 cent coins = 34

No. of 10 cent coins = 85

No. of 5 cent coins= 72

No. of 1 cent coins = 9

Total sum of coins = 200

Percentage of 25 cent coins = (34/200)*100

= 17 %