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jasenka [17]
3 years ago
8

Amy ate of a pizza and Jack ate of a pizza. Which of the following is true?

Mathematics
1 answer:
pav-90 [236]3 years ago
8 0

Answer:

c

Step-by-step explanation:

. portion of pizza eaten by Amy = portion of pizza eaten by Jack because it doesn't tell us information how much did they ate.

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A Baker Had 1/3 Cups Of Suger . he Added 1/9 Cups To It Find The Total Number Of Sugar . ( Can Someone Help Me Out)
ella [17]

The total number of sugar will be 9/4.

<h3>What is the unitary method?</h3>

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

A Baker Had 1/3 Cups Of Sugar.

he Added 1/9 Cups To It

Let the number of sugar be x

x (1/3)  + 1/9x = 1

3x + 1x = 9

4x = 9

x = 9/4

Hence, the total number of sugar will be 9/4.

Learn more about the unitary method;

brainly.com/question/23423168

#SPJ1

3 0
2 years ago
Suppose Paul went to the store and bought 4 peaches to add to the basket.Write two new numerical expressions to represent the to
sasho [114]

Answer:

1. n + 4

2. x(n) + 4

Step-by-step explanation:

The two solutions were arrived at based on the following :

1. The total number of fruit, irrespective of the kind or type.

In this case, let the number of fruit be n.

Adding 4 peaches gives: n + 4 fruits.

2. The second expression takes into account the peaches only.

This times around, let the total fruits be n.

The number of peaches in the basket can be given as a fraction. Let the fraction be <em>x</em>

The number of peaches is the fraction of peaches multiplied by the total number of fruit like this: <em>x</em>n

However, 4 peaches are added, therefore, the total number will be <em>x</em>n+4

This figure denotes the number of peaches in the basket.

4 0
3 years ago
Estimate with one digit <br> 6/253
aleksandr82 [10.1K]
<span>estimating quotients with 2 digit divisorshow to estimate with 1-digit divisorsestimate with 1 digit divisorsdivide with 1-digit divisors<span>lucas henderson</span></span>
6 0
3 years ago
Use Lagrange multipliers to find the volume of the largest rectangular box in the first octant with three faces in the coordinat
tensa zangetsu [6.8K]

Answer:

The volume of the largest rectangular box (V) = 81/4

Step-by-step explanation:

<u>Step 1</u>:-

Given volume of the largest rectangular box in the first octant

V = l b h

let (x ,y, z) be the one vertex in the given plane

V = f(x, y, z) = x y z

given plane.   Ф (x, y, z) = x + 9y + 4z = 27 ........(1)

<u>Step( ii):</u>

By using  Lagrange multipliers

Suppose it is required to find the extreme for the function f(x, y, z) subject to the condition Ф (x, y, z) =0

Form Lagrange function F(x, y, z) = f(x, y, z) + λ  Ф (x, y, z) where λ is called the Lagrange multipliers

F(x, y, z) = x y z+ λ ( x + 9y + 4z - 27) ......(2)

Obtain the equations are δ F / δ x = 0

                                  δ f / δ x +λ  δ Ф  / δ x =0

                           ⇒ y z + λ ( 1) = 0

                          ⇒ y z = - λ ......(a)

Obtain the equations are δ F / δ y = 0

                            δ f / δ x +λ  δ Ф  / δ x =0

                        ⇒ x z + λ ( 9) = 0

                        ⇒ \frac{xz}{9} = - λ .......(b)

Obtain the equations are δ F / δ z = 0

                                  δ f / δ x +λ  δ Ф  / δ z =0

                                   x y + λ ( 4) = 0

                                    ⇒ \frac{xy}{4} = - λ .......(c)

<u>Step (iii):-</u>

Equating (a) and (b) equations

we get         y z = \frac{xz}{9}

cancel 'z' value we get  x = 9y  .......(d)

Equating (b) and (c) equations

we get     \frac{xy}{4}  = \frac{xz}{9}

cancel 'x' value on both sides , we get

              4z =9y  ......(e)

substitute (d) (e) values in equation (1)  we get

x + 9y + 4z -27 = 0

9y + 9y + 9y -27 =0

27y -27 =0

<u> y = 1</u>

substitute y =1 in x = 9y

<u>x = 9</u>

substitute y =1 in 4z =9y

<u>z = 9 /4</u>

therefore the dimensions are x =9 , y=1 and z = 9 /4

<u>Conclusion</u>:-

The largest volume of the rectangular box V = x y z

substitute x =9 , y=1 and z = 9 /4

V = 9(1)(9/4) =81/4

The largest volume of the rectangular box (V) = 81/4

Verification :-

Given plane x + 9y + 4z = 27

substitute x =9 , y=1 and z = 9 /4

              9 + 9 + 4(9/4) = 27

           27 =27

so satisfied equation

     

3 0
3 years ago
The interquartile range of a data set is 10 units. What does this represent?
Zepler [3.9K]
The interquartile range is from Q1 to Q3 and to get this you have to subtract Q2 by Q3. The 10 units represent that only 10 units are fit in the given range.
7 0
3 years ago
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