Mathematics College

samantha needs to bake at least 120 pot pies to sell at her restaurant. she can bake 12 pot pies per hour and 15 veggie pot pies per hour.

write an inequality that represents the situation. let X be the number of hours she spends making chicken pot pies and y be the number of hours she spends making veggie pot pies.

Answers

Answer 1

Answer:

y>(line under >) - 4/5x + 8

Step-by-step explanation:

Phrase "at least" indicates that the total number of pies is greater than or equal to 120.

The number of chicken pot pies Samantha makes is 12x, and the number of veggie pot pies she makes is 15y.

Use this information to create the inequality:

12x + 15y >(line under >) 120

Simplify by solving for y to get this inequality:

y >(line under >) - 4/5x + 8

Related Questions

Which answer choice represents the difference of 20 and 3 times a number?

A) 3j + 20

B) 20(3j)

C) 20 - 3j

D) (20 • 3)j

Answers

The answer is C) 20-3j

When Brandon went bowling,it cost $4.95 per game, plus a one-time fee to rent shoes. Brandon played 5 games and paid $32. Write and solve a linear equation to find the cost to rent the shoes.

Answers

Answer:

$7.25

Step-by-step explanation:

4.95 x 5 = 24.75

32-24.75 = 7.25

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.61 and a standard deviation of 0.4. Using the empirical rule, what percentage of the students have grade point averages that are between 2.21 and 3.01?

Answers

Answer:

68%

Step-by-step explanation:

We start by calculating the z-scores of both

z-score = (x-mean)/SD

for 2.21

z-score = (2.21-2.61)/0.4 = -1

For 3.01

z-score = (3.01-2.61)/0.4 = 0.4/0.4 = 1

So what we want to find is the percentage between -1 SD and 1 SD of the mean

This is the percentage corresponding to the probability

P(-1 < x < 1)

According to the empirical rule, this is a value of;

68.269%

Which of these triangle pairs can be mapped to each other using a reflection
and a translation? Triangles LRK and ARQ are connected at point R.
Triangle L R K is reflected across point R to form triangle ARQ. Triangles LP
Kand QR A are shown. Triangle LPK is reflected across a line to form
triangle QRA. Triangle QR A is shifted to the right of triangle L P K. Triangles
LPK and QR A are shown. Triangle LPK is shifted down and to the left to
form triangle QRA. Triangles LP K and QR A are shown. Triangle LPK is
rotated to form triangle QRA. Triangle QR A is also shifted to the right.

Answers

Answer:

Step-by-step explanation:

b b b b b b b b b b b b b b b b b b b b bb b b b b b b b b b b b b b b b b b

yes

¿Cual es el monto producido por un capital de 7200 colocados al 4% anual durante 3 años y 4 meses ? ( interés)

Answers

creo que 1860? :) lo siento si esta mal

A triangle has ∠1 and ∠2 as remote interior angles with respect to exterior angle ∠3. Given that m∠1 = 50 and m∠2 = 70, Alicia reasoned that m∠3 must be 60. Is Alicia correct? If not, explain Alicia's error.

Answers

Answer:

No, 60 is the third interior angle's mesure, not the exterior ∠3.

Step-by-step explanation:

Say that ∠1=∠A=50 and ∠2=∠B=70. The remote interior angles are the angles that are not touvhing the exterior angle. So ∠3 would be the the exterior angle to ∠C. ∠C=60 as the sum of the interior angles is 180.

The exterior angle is the angle formed by extending one of the triangle's sides. A straight line has the angle 180, so∠3=180-∠C=180-60=120.

Suppose that the flying hours for aircraft operated by regional airlines in the U.S. during 2006 are normally distributed with mean 2500 and standard deviation 400. Find the number of flying hours such that about 97.5% of the aircraft has flying hours exceeding this number.
A) 1,700
B) 2,100
C) 2.500
D) 2,900
E) 3,300

Answers

Answer:

Step-by-step explanation:

Given that :

Mean (μ) = 2500

Standard deviation (σ) = 400

P = 97.5% = 0.975

Zscore corresponding to p(z > x) = 0.975

Z = - 1.96 ( Z probability calculator)

Using the relation :

Zscore = (score (x) - μ) / σ

-1.96 = (x - 2500) / 400

x - 2500 = 400 * - 1.96

x - 2500 = - 784

x = - 784 + 2500

x = 1716

Hence, number of flying hours required is 1716

What is the answer to 5 3x + 12- 6x = -9

Answers

Answer:

x=-21/47

Step-by-step explanation:

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Step-By-Step on how to solve it is in the attached picture below.

Hope this helps! :)

A recipe needs 1/2 cup of water for every 2 cups of sugar. If you plan to use 8 cups of sugar, how much water will you need?

Answers

Answer:

you need 2 cups of water. :)

Step-by-step explanation:

In 2010, there were approximately 75,000 songs released all year.
Approximately how many songs were released per month?

Answers

6,250 songs were released a month

What is 140% of a dollar

Answers

Answer:

1.4 U.S. Dollar

Step-by-step explanation:

Mr.Lester needs less than 1/2 cup but more than 1/3 cup of flour to make a sauce.Which of the following could be the amount of flour that he needs?

Answers

Answer:1/4

Step-by-step explanation:

Brian’s birthday is on 10 January and he is having a party that day. Five days before this, he is meeting his brother for lunch and ten days after his birthday he is meeting his sister for lunch. Both of these lunch meetings are at the weekend (i.e. on Saturday or Sunday). On which day of the week is Brian’s birthday?

Answers

Answer:

wednesday i think idk (sorry if wrong)

Step-by-step explanation:

What’s the unite rate

Answers

Answer:

unit rate is that which compares two unit.

Derek wants to buy a skateboard for $56.00. The store
is offering a discount of 5% on all items. What price will
Derek pay for the skateboard, not including tax?

Answers

Answer: 53.2$

Step-by-step explanation:

5/100 × 56 = 2.8

So, 56.00 $ - 2.8$ = 53.2$

what is -2.24?
A. -224
B.-2.24
C. 2.24
D. 224
HURRY,HURRY,HURRY. IF CORRECT I GIVE BRAINLIEST.

Answers

Answer: B) -2.24

Step-by-step explanation:

Answer: it’s -2.24

Step-by-step explanation:

Because it’s already in decimal form and since it’s a negative decimals number it is -2.24

Peter buys 8.5 square feet of carpet. The carpet costs $10.20 per square foot. How much does Peter pay for the carpet?

Answers

Answer:

$86.70

Step-by-step explanation:

Answer: $86.7

Step-by-step explanation: because you have to multiply them

The average starting salary for this year's graduates of a large community college is $30,000 with a standard deviation of $8,000. Furthermore, it is known that the starting salaries are normally distributed. a. What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400? b. Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break? c. what are the minimum and the maximum starting salaries of the middle 95% of the LU graduates? d. If 303 of the recent graduates have salaries of at least $43,120, how many students graduated this year from this university?

Answers

Answer:

0.048 ; 0.03593 ; (14320, 45680) ; 6000

Step-by-step explanation:

Given a normal distribution :

Mean salary (m) = $30000

Standard deviation (s) = $8000

A.) probability of having a starting salary of atleast 30400

P(x ≥ 30400)

Obtain the standardized value (Z) :

Z = (x - m) / s

Z = (30400 - 30000) / 8000

Z = 400 / 8000 = 0.05

P(Z ≥ 0.05) = 0.48006 (Z probability calculator)

b. Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?

P(X < 15600)

Obtain the standardized value (Z) :

Z = (x - m) / s

Z = (15600 - 30000) / 8000

Z = - 14400 / 8000 = - 1.8

P(Z < - 1.8) = 0.03593

c. what are the minimum and the maximum starting salaries of the middle 95% of the LU graduates?

Zscore which corresponds to 0.95 is 1.96

Minimum:

-1.96 = (x - 30000) / 8000

-15680 = x - 30000

x = 14320

Maximum :

1.96 = (x - 30000) / 8000

15680 = x - 30000

x = 45680

d. If 303 of the recent graduates have salaries of at least $43,120, how many students graduated this year from this university?

P(X ≥ 43120)

Z = (43120 - 30000) / 8000

Z = 13120 / 8000

Z = 1.64

P(Z ≥ 1.64) = 0.050503

Hence,

0.050503 = 303

1 = x

x = 303 / 0.05050

= 6000

Two elves can make 5 toys in 10 minutes How many toys can 4 elves make in 30 minutes?

Answers

Answer:

30 toys

Step-by-step explanation:

PLEASE MARK BRAINLIEST

help me pls!! thank u!!

Answers

Answer:

22.916666666 The six is repeated

Step-by-step explanation:

10/12=8.3333333 and 8.3333333*27.5=22.916666666 repeated

Answer:

About 23

Step-by-step explanation:

Weight x 0.83333 = medication

so, 27.5 x 0.83333 = 22.825 (rounded to 23)

The ratio of 6th grade students to 7th grade students in a soccer league is 15:10. If there are 100 students in all, how many 7th graders are there?

Answers

Answer:

40 7th Graders

Step-by-step explanation:

First you add all of the students to get 25. Then you divide 100 by 25 to get 4 (this is gonna be your multiplier) now multiply each part of the ration by 4, and you get 60 6th graders and 40 7th graders :D.

Simplify square root 3^15

Answers

Answer:

Take the square root of 3 then raise it to the 15 th power, i.e. (√3)15. Raise 3 to the 15 th power then take the square root, i.e. √315.

Answer:

Step-by-step explanation:

3^7 square root of 3

Can someone help me ASAP!!!

Answers

Answer:

3x+y=2

Step-by-step explanation:

Just remember that standard form is expressed as Ax+By=C. I also attached a picture to prove that 3x+y=2 is the standard form equation that makes up the line.

Hope this helps and answers your question :)

What is An equivalent fraction to 1/2 with a denominator as 10?

Answers

Answer:5/10

Step-by-step explanation:

1/2 x 5 = 5/10

5/10 hope this helps

I need the answer of this, can you tell me the answer plz ( i need the eleventh one )

Answers

Answer:

I believe the area will double

well the area is affected because it will be double the size that it originally was

area=16×24

37 POINTS PLEASE HELPPPPP!!!!!!

Answers

Solution:

We can see that each term when subtracted by 4, gives the next term.

This means that:

n₁ - 4(2) + 4(1) = n₂

Let's substitute the values to check:

=> n₁ - 4(2) + 4(1) = n₂ => n₁ - 8 + 4 = n₂ => n₁ - 4 = n₂ => 18 - 4 = 14=> 14 = 14 (Proved)

Now, we can find the nth term aₙ by using the formula:

18 - 4(nth term) + 4(1) = Value of nth term

To check that the formula is correct, let's substitute the value of nth as the fifth term of the sequence.

18 - 4(nth term) + 4(1) = Value of nth term=> 18 - 4(5) + 4(1) = Value of 5th term=> 18 - 4(5) + 4(1) = Value of 5th term=> 18 - 20 + 4 = Value of 5th term=> 18 - 16 = Value of 5th term=> 2 = Value of 5th term

Now, let's find the fifth term mentally. Keep subtracting 4 until you reach the fifth term.

=> 18 - 4 = Second term of sequence=> 14 = Second term of sequence=> 14 - 4 = Third term of sequence=> 10 = Third term of sequence=> 10 - 4 = Fourth term of sequence=> 6 = Fourth term of sequence=> 6 - 4 = Fifth term of sequence=> 2 = Fifth term of sequence

We are getting the same result from both ways.

In conclusion, our formula to find the nth term is "18 - 4(nth term) + 4(1)".

Find the product
-3(5) I need help

Answers

Answer:

-15

Step-by-step explanation:

() means to multiply

So, -3(5) = -3 x 5 = -15

Answer: -15

The question asks you to find the "product," which means the result of multiplying. Both the word "product" and the parentheses indicate that you have to multiply.

Since it's a negative (-) multiplied by a positive (+), your product will be negative (-).

So, -3(5) = -15.

Volume = cm3 cylinder

Answers

That is true but that’s not all units that are known for volume

Determine if this data is an example
of a function.
(0,5); (-3, 4); (0, 2); (2, 3)
Relation
Function

Answers

no because two of the pairs have the same input values

A farmer wants to build a rectangular pen which will be bounded on one side by a river and on the other three sides by a single-strand electric fence. If the farmer has 40 meters of wire to use, what is the largest area that the farmer can enclose?

Answers

Answer:

A) Dimensions;

Length = 20 m and width = 10 m

B) A_max = 200 m²

Step-by-step explanation:

Let x and y represent width and length respectively.

He has 40 metres to use and he wants to enclose 3 sides.

Thus;

2x + y = 40 - - - - (eq 1)

Area of a rectangle = length x width

Thus;

A = xy - - - (eq 2)

From equation 1;

Y = 40 - 2x

Plugging this for y in eq 2;

A = x(40 - 2x)

A = 40x - 2x²

The parabola opens downwards and so the x-value of the maximum point is;

x = -b/2a

Thus;

x = -40/2(-2)

x = 10 m

Put 10 for x in eq 1 to get;

2(10) + y = 40

20 + y = 40

y = 40 - 20

y = 20m

Thus, maximum area is;

A_max = 10 × 20

A_max = 200 m²

The area of the pen is the product of its dimensions

The largest area the farmer can enclose is 200 square meters

The perimeter of the pen is given as:

[tex]\mathbf{P = 40}[/tex]

Because one side of the fence is covered by a river, the perimeter would be:

[tex]\mathbf{2x + y = 40}[/tex]

Make y the subject

[tex]\mathbf{y = 40 - 2x}[/tex]

The area of the pen is:

[tex]\mathbf{A = xy}[/tex]

Substitute [tex]\mathbf{y = 40 - 2x}[/tex]

[tex]\mathbf{A = x(40 - 2x)}[/tex]

Expand

[tex]\mathbf{A = 40x - 2x^2}[/tex]

Differentiate

[tex]\mathbf{A' = 40 - 4x}[/tex]

Set to 0

[tex]\mathbf{ 40 - 4x = 0}[/tex]

Rewrite as:

[tex]\mathbf{ 4x = 40}[/tex]

Divide through by 4

[tex]\mathbf{x = 10}[/tex]

Substitute 10 for x in [tex]\mathbf{A = x(40 - 2x)}[/tex]

[tex]\mathbf{A = 10 \times (40 - 2(10))}[/tex]

[tex]\mathbf{A = 200}[/tex]

Hence, the largest area the farmer can enclose is 200 square meters