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Answer:

42

Step-by-step explanation:

Given that,

210 oranges, 252 apples, 294 pears are equally packed in cartons so that no fruit is left.

The factor of 210 = 2×3×5×7

The factor of 252 = [tex]2^{2}\times 3^{2}\times 7[/tex]

The factor of 294 = [tex]2\times 3\times 7^{2}[/tex]

We need to find the biggest possible number of cartons needed. It can be calculated by taking HCF of the above numbers.

The HCF of 210, 252 and 294 = 2×3×7

= 42

Hence, 42 is the biggest possible number of cartons needed.

Question:

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.

Type of Crust Number Sold

Thin crust          312

Thick crust          245

Stuffed crust          179

Pan style                  304

Based on this information, of the next  4500 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.

Answer:

1060 thick crusts

Step-by-step explanation:

Given

The above table

Required

Expected number of thick crust for the next 4500

For last week data, calculate the proportion of thick crust sold

[tex]\hat p = \frac{Thick\ crust}{Total}[/tex]

[tex]\hat p = \frac{245}{312+245+179+304}[/tex]

[tex]\hat p = \frac{245}{1040}[/tex]

[tex]\hat p = 0.235577[/tex]

For the next 4500;

[tex]n = 4500[/tex]

The expected number of thick crust is (E(x)):

[tex]E(x) = \hat p * n[/tex]

[tex]E(x) = 0.235577 * 4500[/tex]

[tex]E(x) = 1060.0965[/tex]

[tex]E(x) \approx 1060[/tex]

Shelly bought three pairs of jeans and sweaters.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

Shelly is given $300 to spend on jeans and sweaters.

Each pair of pants is $65, each sweater is $34, and she purchases seven pieces.

As per the given question, the required solution would be as:

She could buy three pairs of jeans and three sweaters since any more would be insufficient because three pairs of jeans and three sweaters would equal $297.

65 x 3 = 195

34 x 3 = 102

Therefore, Shelly bought three pairs of jeans and sweaters.

To learn more about numerical expression click here :

https://brainly.com/question/6037813

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Answer:

The answer is "True".

Step-by-step explanation:

The z-score value shows how often standard deviations were away from the earth. If it is 0, it is on average. The positive Z sign indicates that perhaps the raw mark is greater than the average. While z-score is equivalent to +1, for example, it is a standard deviation of 1 above average. This can be used for implementing series and also for comparing the trend of mortality among various individuals or between various periods and by using the z score we find the curve length, that's why it is correct.

Answer:

4w + 10

Step-by-step explanation:

If you have any questions feel free to ask

answer: 4w+10

explanation:: distribute;

= (4)(w)+(4)(3)+−2

= 4w+12+−2

combine like terms;

= 4w+12+−2

= (4w)+(12+−2)

= 4w+10

Answer:

x = 20

Step-by-step explanation:

The two angles are verticals angles and vertical angles are equal

7x -99 = 2x+1

Subtract 2x from each side

7x-99-2x =2x+1-2x

5x-99 =1

Add 99 to each side

5x-99+99 = 1+99

5x =100

Divide each side by 5

5x/5 =100/5

x = 20

Answer:

x=20

set them equal to eac hother

7x-99=2x+1

-2x+99-2x+99

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

5x=100

---- ------

5 5

x=20

Answer:

Willis Towers is 1.7 times bigger than the Transamerica pyramid

Step-by-step explanation:

The Willis Tower In Chicago is 1,451 FEET tall. The Transamerica Pyramid is San Francisco is 10,236 INCHES tall. How do these two compare?

Note that

1 foot = 12 inches

We convert the height of willis tower to inches

1 foot = 12 inches.

1,451 feet = x inches

Cross Multiply

x = 1451 × 12 inches

x = 17412 inches

Comparing the two buildings

Willis Tower : Transamerica pyramid

1,7412 inches : 10,236 Inches

= 1.7010550996 : 1

Therefore,

Willis Towers is 1.7 times bigger than the Transamerica pyramid

240÷30=8

8×30=240

30 height 8 with

Answer:

A or D

Step-by-step explanation:

Answer:

B I think

Step-by-step explanation:

I think it's B because in b it says so on which means his raise keeps going up each year

this is 3rd grade math? jesus..

Answer:

that poor 3rd grader O.O that is hard

Step-by-step explanation:

online

Answer:

4) -3

Step-by-step explanation:

The minimum y value of this absolute value function is -3

Answer:

40

Step-by-step explanation:

2 cups = 1 pt

therefore

1/2 is the equation

...

80/2 = 40

Answer:

3

Step-by-step explanation:

[tex]18*\frac{1}{6} \\\\3[/tex]

Answer:

=3x

Step-by-step explanation:

18x^1 / 6

=3x

Answer:

There is one equation, the slopes are different so they will intersect at one point

Step-by-step explanation:

Answer:

2020

Step-by-step explanation:

Answer:

2020  i think i hope it is the right answer for you

Answer:

Below

Step-by-step explanation:

Every triangle should add up to 180 degrees,

This is a right triangle because it has the square in the corner meaning it is 90 degrees.

39 + 90 = 129

180 - 129 = 51 degrees

A: 51 degrees

C: 90 degrees

Answer:

a. 51 degrees

c. 90 degrees

I think

Answer:

Sam's is nonsense and Kim's is sense

Step-by-step explanation:

why? because 1/3 and 1/6 are not equivalent. and 1/3 is greater. so therfore Kim's makes sense

Answer:

They are the same thing!

Step-by-step explanation:

8*3=24 (Because 1 yard is 3 feet)

24 = 24!

Answer:

8yd 24ft= 48ft 0.000000in

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I did it on khan academy

The total cost next year will be: $10,613.10

Solving:

The total cost of this year

Simply just add up everything that has been given which wouold give you 10,405

The total cost of next year

multiply the total cost of this year by 1.02 to find what the cost would be with a 2% increase which should give you 10,613.1

Answer: Its spring break relax PLS

Step-by-step explanation:

3bags x 5 pearls per bag=15 bags

15 / (4 friends+you)=5

15/5=3 pearls per friend.

Answer:3 pearls per person.

Answer:

It is 3x5 is 15 the you divide 15 by 4 which is 3.75 per person

Step-by-step explanation:

3x5=15

15\4=3.75

Answer:

The discriminant, -14.71 < 0, shows that there is no solution of the equation, h = -16·t² + 22.3·t + 2, at the line 'h = 10' feet, therefore, the Jaguarundi height as she springs will not be up to 10 feet and therefore she will not reach the bird

Step-by-step explanation:

From the question, the equation that models the Jaguarundi's height, 'h', ma be written approximately as follows;

h = -16·t² + 22.3·t + 2

Where;

t = The time (duration) in seconds

The discriminant of the equation a·x² + b·x + c = 0 is  b² - 4·a·c

When h = 10, we have;

10 = -16·t² + 22.3·t + 2

∴ 0 = -16·t² + 22.3·t + 2 - 10 = -16·t² + 22.3·t - 8

The discriminant of the given quadratic equation is given as follows;

The discriminant = 22.3² - 4 × (-16 × (-8)) = -14.71 < 0

Therefore, the function, h = -16·t² + 22.3·t + 2 has no real root at h = 10

The parabola does not reach or pass through the line h = 10 which is the height at which the bird is flying.

The Jaguarundi will not reach the bird flying at the height of 10 feet.

Answer:

No, the Jaguarundi will not reach the bird

Step-by-step explanation:

The equation is

[tex]h=-16t^2+22.3t+2[/tex]

When h = 10 feet

[tex]10=-16t^2+22.3t+2[/tex]

[tex]\Rightarrow -16t^2+22.3t-8=0[/tex]

[tex]a=-16[/tex]

[tex]b=22.3[/tex]

[tex]c=-8[/tex]

Discriminant is given by

[tex]b^2-4ac=22.3^2-4(-16)(-8)[/tex]

[tex]\Rightarrow b^2-4ac=-14.71[/tex]

[tex]\Rightarrow b^2-4ac<0[/tex]

So, the Jaguanrundi will not reach the bird as the roots will be imaginary.

Answer:

1/6 or 16.67% chance

Step-by-step explanation:

Assuming its a normal six sided dice. You would have a 16.67% chance of getting a 3.

Answer: the answer is 56

Step-by-step explanation: since the f(x) is -7 it would be 9 times -7 then minus 7 and get the answer.

Answer:

GASOLINE The table gives the cost of a

gallon of gasoline at two stations.

How much more does gasoline cost at

Gas For Less than at Cut-Rate?

Step-by-step explanation:

Answer:

The 2009 Nobel Peace Prize was awarded to United States President Barack Obama for his "extraordinary efforts to strengthen international diplomacy and cooperation between people".

Step-by-step explanation:

The 2009 Nobel Peace Prize was awarded to United States President Barack Obama for his "extraordinary efforts to strengthen international diplomacy and cooperation between people".