A Cereal box is 12 inches x 8 inches x 3 inches. Determine the volume of the cereal box. Could 312 cubic inches of cereal fit in the box? Explain your reasoning


Help pls

9514 1404 393

Answer:

  33

Step-by-step explanation:

The total number of ratio units is 4+7 = 11. If each one stands for an integer number of students, that number is a multiple of 11 between 24 and 40. The only such number is 3×11 = 33.

There are 33 students in the class.

_____

12 are boys, 21 are girls.

Solution :

a). [tex]$\text{Set up hypothesis}$[/tex]

    [tex]$\text{Null hypothesis}$[/tex] : There is no significance between them.

                                  [tex]$H_0:\mu_1=\mu_2$[/tex]

    [tex]$\text{Alternate hypothesis}$[/tex] : There is significance between them.

                                 [tex]$H_1:\mu_1!=\mu_2$[/tex]

b). Test statics

    [tex]$X(\text{mean}) = 2.214$[/tex]

    Standard deviation [tex]$(s.d1)=1.718; \text{Number}(n_1)=20$[/tex]

    [tex]$Y(\text{mean})=2.0115$[/tex]

     Standard deviation [tex]$(s.d2)=1.8917; \text{Number}(n_2)=20$[/tex]

     We use the test statics :

  [tex]$t=\frac{X-Y}{\sqrt{\frac{s.d1^2}{n_1}+\frac{s.d2^2}{n_2}}}$[/tex]

 [tex]$t_0=\frac{2.214-2.0115}{\sqrt{\frac{2.95152}{20}+\frac{3.57853}{20}}}$[/tex]

 [tex]$t_0=0.35$[/tex]

[tex]$|t_0|=0.35$[/tex]

c. The critical value of |t| with minimum [tex]$(n_1-1)$[/tex] , i.e. 19 d.f is [tex]$2.093$[/tex]

   We got [tex]$|t_0|$[/tex] = 0.35439 and |t| = 2.093

Answer:

x = 89°

Explanation:

The angles inside a triangle will always add up to 180°

49 + 42 = 91

180 - 91 = 89°

Answer:

x=2

Step-by-step explanation:

7x - 3 = 11

Add 3 to each side

7x - 3+3 = 11+3

7x = 14

Divide by 7

7x/7 = 14/7

x = 2

[tex]\boxed{\bold{ X=2  }}[/tex] 

now we have to add 3 in both sides

we get that,

now divide 7 in both sides

we get that,

Answer:

prob -3

Step-by-step explanation:

The number 0 is called the additive identity because when you add it to a number, the result you get is the same number. For example, 4 + 0 = 4. Any two numbers whose sum is zero, such as 3 and -3, because 3 + (-3) = 0.

Answer:The number 0 is called the additive identity because when you add it to a number, the result you get is the same number. For example, 4 + 0 = 4. Any two numbers whose sum is zero, such as 3 and -3, because 3 + (-3) = 0.

Step-by-step explanation:

Answer:

$15.75

Step-by-step explanation:

[tex]\frac{y}{15} :\frac{5}{100}[/tex]

y × 100 = 5 × 15

100y = 75

100y ÷ 100 = 75 ÷ 100

y = 0.75

$15 - $0.75

$14.25

[tex]\frac{y}{15} :\frac{10}{100}[/tex]

y × 100 = 10 × 15

100y = 150

100y ÷ 100 = 150 ÷ 100

y = 1.5

$14.25 + $1.50

$15.75

Answer:

"a" is showing the number of blue beads

"b" represents the number of red beads in a combination

let "n" show the number of credits.

We get the following equation:

n = 3a + 7b.

Now, we want to prove that for all n ≥ 12, there is some combination of blue and red beads that is worth n credits, there are a, b in N such that:

n = 3a + 7b

Hence we will prove this by induction.

Base Cases: n = 12.

Applying the formula clearly 12 = 3*4+7*0.

n = 13

Applying the formula clearly 13 = 3*2+7*1.

n = 14.

Applying the formula clearly 14 = 3*0+7*2.

Induction Step: Assume that for all 12<=k<n there are x, y in N such that

k = 3x + 7y. We will now prove that there are a, b in N such that n = 3a + 7b.

By the induction hypothesis we know that there are x, y in N such that n-3 = 3x + 7y.

Hence n = n - 3 + 3 = 3x + 7y + 3 = 3(x + 1) + 7y, so choosing a = x + 1

and b = y we see that n = 3a + 7b.

Therefore by induction, the claim is true for all n ≥ 12

Answer:

You would use V=3 times 5 times 4

First you would multipy 5 times 4 then when you get that answer you would multiply the 3.

Answer:

3p

Step-by-step explanation:

Answer:

100 or 150 units of the product.

Step-by-step explanation:

R = x(1000-4x)

What is the value of x if R = 60,000?

x(1000-4x) = 60000

-4x^2 + 1000x = 60000

x^2 - 250x = -15000

x^2 - 250x + 15000 = 0

Factorize:

(x-100)(x-150) = 0

x-100 = 0 V x-150 = 0

x = 100 V x = 150

Answer:

7(y + 1/3)

Step-by-step explanation:

7 times the sum of y and 1/3

7    *           (y + 1/3)

7 * (y + 1/3)

7(y + 1/3)

Answer:

V≈340.34

Step-by-step explanation:

V=πr2h

3=π·52·13

3≈340.3392

Answer:

78.5 un²

Step-by-step explanation:

A = π · r²

π · 10²

314 un²

314 un² ÷ 4

78.5 un²

Step-by-step explanation:

m∠A = 70°

m∠B = 30°

m∠C = 80°

Sum of all three angles = 70° + 30° + 80° = 180°

Hope it helps....!

Answer:

18 jars can be filled completely.

Step-by-step explanation:

7L=7000ml

1 jar contain 375 ml

375ml can be filled in 1 jar

375ml=1 jar

1 ml = 1/375 jar

7000 ml = 7000× 1/375 jar

7000ml= 18.67 jar

hence 18 jars can be filled completely.

The total number of jars that can be filled with sauce is A = 18 jars

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Saj has made 7 litres of curry sauce = 7000 mL

And , each jar can be completely filled with 375 millilitres of cury sauce

So , the number of jars A = 7000 / 375

On simplifying the equation , we get

A = 18.67 jars

Hence , the number of jars is A = 18 jars

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

GE = 26

Step-by-step explanation:

OP = 16 + 9 = 25

PE - OG = 7

Using Pythagorean theorem,

(GE)^2 = (OP)^2 + (PE - OG)^2

=(25)^2 + (7)^2

= 625 + 49

= 674

or

GE = √674 = 25.96 or 26

Answer: The answer is 5/4 :)

Answer:

5/4 or 1 1/4

Step-by-step explanation:

khan academy

Answer:

Step-by-step explanation:

(27m^8n^4)^(1/3)

= 27^(1/3) (m6)^(1/3)(n)^(1/3) (m^2n)^(1/3)

= 3m^2n(m^2n)^(1/3)

So the answer is the last.

Answer:

answer 4 kilometer

Step-by-step explanation:

2 + 1 + 1 = 4

The answer is 58.4375

l*w*h is how you calculate any rectangular prism, 5*2 3/4*4 1/4 is the volume of your triangle. Hope this helps!

Answer:

Chain referral sampling

Step-by-step explanation:

Chain referral sampling is also known as snowball sampling. In this form of sampling, the samples are collected from the referrals given by the existing samples. The samples are collected and the research is conducted respectively. This method is used in the business marketing also. The places where the people are not known by the company, the method of chain referrals are made and the samples are collected.

Answer:

[tex]y = \frac{3}{4}x -3[/tex] --- Slope intercept

[tex]4y - 3x =- 12[/tex] --- Standard form

Step-by-step explanation:

Given

The attached linear graph

Required

The equation

Select any two points on the line

[tex](x_1,y_1) = (0,-3)[/tex]

[tex](x_2,y_2) = (4,0)[/tex]

Next, calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{0 --3}{4 - 0}[/tex]

[tex]m = \frac{3}{4}[/tex]

The slope intercept is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

So, we have:

[tex]y = \frac{3}{4}(x - 0) -3[/tex]

[tex]y = \frac{3}{4}(x) -3[/tex]

[tex]y = \frac{3}{4}x -3[/tex]

Multiply through bu 4

[tex]4y = 3x - 12[/tex]

Subtract 3x from both sides

[tex]4y - 3x =- 12[/tex] --- Standard form