what is 4 1/8 - 2 2/3 to the nearest whole number

Answer:

Step-by-step explanation:

Let assume that the volume = 88 cubic feet

Then:

[tex]L = 3w --- (1)volume = l \times w \times h \\ \\ 88 = (3w) \times w \times h \\ \\ 3w^2 h= 88 \\ \\ h = \dfrac{88}{3w^2}--- (2) \\ \\[/tex]

The construction cost now is:

[tex]C = 4(l \times w) + 2 ( w \times h) + 2(l \times h) \\ \\ C = 4(3w^2) + 2(w \times \dfrac{88}{3w^2}) + 2(3w \times \dfrac{88}{3w^2}) \\\\ C = 12w^2 + \dfrac{176}{3w} + \dfrac{176}{w}[/tex]

Now, to determine the minimum cost:

[tex]\dfrac{dC}{dw}= 0 \\ \\ \implies 24 w - \dfrac{176}{3w^2}- \dfrac{176}{w^2}=0 \\ \\ 24 w ^3 = \dfrac{176}{w^2}(\dfrac{1}{3}+1) \\ \\ 24 w ^3 = \dfrac{176(4)}{3} \\ \\ w^3 = \dfrac{88}{3(3)}[/tex]

[tex]w = \dfrac{88}{3(3)}^{1/3} \ feet[/tex]

Now;

[tex]length = 3 ( \dfrac{88}{3(3)})^{1/3} \ feet[/tex]

[tex]height = ( 88})^{1/3} (3)^{1/3} \ feet[/tex]

Answer:

The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.

Step-by-step explanation:

Proportion of oil tankers that had spills.

Number of tankers with spills divided by the total number of tankers.

In this question:

211 tankers

146 did not have spills, so 211 - 146 = 65 had

Proportion:

[tex]p = \frac{65}{211} = 0.308[/tex]

The estimate of the proportion of oil tankers that had spills is 65/211 = 0.308.

Answer:

the lcm is 6

Step-by-step explanation:

6 divided by 3 is 1

18 divided by 3 is 6

6 becomes 3 and 2

Answer:

18

Step-by-step explanation:

Since the question is asking for the least common multiple, you factor out the 6 in 18 and 6. This gives you 631 as the LCM because you have factored out 6 and this is the GCF because there are no more common factors between 3 and 1. Since 631 equals 18, 18 is the LCM

Solution :

It is given that a large institution is preparing food menus which contains foods A as well as B.

Each lunch provides :

10 units of carbohydrates

6 units of fats

7 units of proteins

The food from A cost = $0.12 per ounce

And food from B cost = $0.08 per ounce

Objective function :

[tex]$C= 0.12x+0.08y$[/tex]

Constraints : [tex]$x\geq 0, y \geq 0, x+y \geq 6, 2x+y \geq 10, x+y \leq 7$[/tex]

Domain : [tex]$3 \leq x\leq 7$[/tex]

Range : [tex]$0\leq y\leq4$[/tex]

Answer:

2. d) (x-1)²+(y+5)²=128

3.c) (x-3)²+(y+2)²=841

Step-by-step explanation:

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

= (30 × 6) - (4 + 15) / 2

= (180 - 19) / 2

= 161 / 2

= 80.5

Hope it helps!

mark me brainliest pls.....

Follow me! :)

Answer:

D) 476 ft²

Step-by-step explanation:

12x14=168

(25+31)/2=28

28x11=308

308+168=476

Answer:

A is the answer

Step-by-step explanation:

Answer:

3x4

Step-by-step explanation:

You're gonna want to simplify that equation. We see the three and the four. Multiply that to get x^12

Answer:

x = 24

Step-by-step explanation:

3X +5 +2x-4 +2x +11 = 180

7x +12 = 180

7x = 180 - 12

7x = 168

7x/7 = 168/7

x =24

Answer:

c) (x+1)²+(y-3)²=25

Step-by-step explanation:

Answer:

U need to draw a triangle

Step-by-step explanation:

Answer:

i believe the answer is D

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

k

Answer:

x = -7

Step-by-step explanation:

m<MLP + m<PLK = m<MLK (angle addition postulate)

(x + 31) + (x + 147) = 164 (substitution)

Solve for x

x + 31 + x + 147 = 164

Add like terms

2x + 178 = 164

2x = 164 - 178

2x = -14

x = -14/2

x = -7

Answer:

6

Step-by-step explanation:

the only number between those to is 6

Answer:

1. 12

2. 8

3. 3

Step-by-step explanation:

To find the first answer all you must do is:

2 x 3 x 2 = 12

You do the same thing with the second question but do 2 x 2 x 2 as there’s no turkery.

2 x 2 x 2 = 8

Last, this time you do 1 x 3 x 1.

One for the one bread and cheese and three for the meat.

This equals to be 3.

Answer:

A random sample of house sizes in major city has a sample mean of ¯x=1204.9 x ¯ = 1204.9 sq ft and sample standard deviation of s=124.6 sq ft. Use the Empirical Rule to determine the approximate percentage of house sizes that lie between 955.7 and 1454.1 sq ft.:

it is C forty-three and six hundredths.

Answer:

there both similar by using inverse operations to isolate the variable term by using addition or subtraction and multiplying or dividing to solve for the variable .

the difference is for an inequality if u multiply or divide by a negative number then u have to reverse the inequality symbol, for regular equations u don't have to do that , and for regular equations there is a equal sign and not a inequality symbol

Step-by-step explanation:

just explained it above

hope I helped ! pls mark me brainlest if I got it right thanks :)

Answer:

3

Step-by-step explanation:

Answer:

Z-score for 34-week baby = 0.643

Z-score for 41-week baby = 1.154

Baby weight of 41-week is more than the baby weight of 34-week in the gestation period.

Step-by-step explanation:

Given - Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 700 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 390 grams. If a 34-week gestation period baby weighs 2950 grams and a 41-week gestation period baby weighs 3550 grams

To find - Find the corresponding z-scores. Which baby weighs more relative to the gestation period.

Proof -

Given that,

In between period of 32 to 35 weeks

Mean = 2500

Standard deviation = 700

In between after a period of 40 weeks

Mean = 3100

Standard deviation = 390

Now,

For a 34-week baby,

X = 2950

For a 41-week baby,

X = 3550

Now,

Z-score = (X - mean) / Standard deviation

Now,

For a 34-week baby,

Z - score = (2950 - 2500) / 700 = 0.643

For a 41-week baby,

Z-score = (3550 - 3100) / 390 = 1.154

∴ we get

Z-score for 34-week baby = 0.643

Z-score for 41-week baby = 1.154

As 1.154 > 0.643

So,

Baby weight of 41-week is more than baby weight of 34-week in the gestation period.

Answer:

1/3

Step-by-step explanation:

p=1/6+1/6

=2/6

=1/3

Answer:

3x² - 3x

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

3x(x - 1)

Step 2: Expand

Answer:

Number one is D and Number 3 is also D

Step-by-step explanation:

Answer:

Hi

Step-by-step explanation:

Answer:

didn't even ask a question

Step-by-step explanation:

impossible to answer without a question

Answer:

9.61cm

Step-by-step explanation:

Let height be x thus length will also be x

since the base is a square the width and length are also equal.

volume of pyramid=length×width×height

3

296cm³=x×x×x

3

296×3=x³

888=x³

x= cube root of 888

x=9.61cm