A baker makes apple tarts and apple pies each day. Each tart, t, requires 1 apple, and each pie, p, requires 8 apples. The baker receives a shipment of 184 apples every day. If the baker makes no more than 40 tarts per day, which system of inequalities can be used to find the possible number of pies and tarts the baker can make?

Answers

Answer 1

Answer: t<40

8p+<184

Step-by-step explanation:

Answer 2

The inequalities representing the given condition will be [tex]t\leq40[/tex] and [tex]8p+t\leq184[/tex].

Given information:

A baker makes apple tarts and apple pies each day.

The baker receives a shipment of 184 apples every day.

A tart requires 1 apple and a pie requires 8 apples.

Let t be the number of tarts made each day and p be the number of pies made each day.

The baker makes no more than 40 tarts per day. So, the condition can be written as,

[tex]t\leq40[/tex]

And the condition for each day apple delivery can be written as,

[tex]8p+t\leq184[/tex]

Therefore, the inequalities representing the given condition will be [tex]t\leq40[/tex] and [tex]8p+t\leq184[/tex].

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Related Questions

John bought 2.5 kg of corn flour. He used 500g of it to make bread. What percentage of corn flour was left?​

Answers

Answer:

75%

Step-by-step explanation:

2.5 kilograms=2500 grams

2500-500=2000g to find the percent you devide 500/2500 then you get the percentage that was taken away so to find the percentage that was left you minus the 25 percent from 100 which gives you the answer which is 75%

If y varies inversely as x and y = 12. When x=20. What is y when x is 15?



Pls help

Answers

Answer:

[tex]y = 0.04[/tex]

Step-by-step explanation:

[tex]y[/tex] ∝ [tex]\frac{k}{x}[/tex] (k is a constant we need)

[tex]12 = \frac{k}{20}[/tex]

[tex]k = 0.6[/tex]

[tex]y = \frac{0.6}{15}[/tex]

[tex]y=0.04[/tex]

is it always true that (x+4) squared equals x squared plus 16?

Answers

Answer:

True

Step-by-step explanation:

(x + 4)² = (x + 4) (x + 4)

x² + 4² = x² + 16

Hello.

No, (x+4)² doesn't equal x²+16.

Let's see why.

Remember that

x times x = x²

4 times 4 = 4²=16

So it seems like (x+4)² is equal to x²+16.

However,

(x+4)²≠x²+16.

Well, what IS that equal to?

Turns out that

(x+4)² is equal to x² + twice the product of x and 4 +16 (!)

(x+4)²=x²+2*4*x+4²

(x+4)²=x²+8x+16

Therefore, (x+4)²=x²+8x+16.

I hope it helps.

Have an outstanding day. :)

[tex]\boxed{imperturbability}[/tex]

The angles in a triangle are such that the measure of one angle is twice the measure of the smallest angle, while the measure of the third angle is three times the measure of the smallest angle. Find the measures of all three angles, in degrees.

Answers

Answer:

the smallest angle are 30 degree

Step-by-step explanation:

let x is the angle of triangle

x+2x+3x=180

6x=180

6x/6=180/6

x=30 degree

2x=60 degree

3x=90degree

What is 2 5/7 ·48+2 2/7 ·48? Please help!!!

Answers

9514 1404 393

Answer:

  240

Step-by-step explanation:

Your calculator can tell you the answer.

__

If you're doing this by hand, it can be convenient to combine the multipliers of 48:

  (2 5/7)·48 +(2 2/7)·48 = (2 5/7 +2 2/7)·48 = ((2+2) +(5/7+2/7))·48

  = (4 +7/7)·48 = 5·48 = 240

Photos and videos have become an important part of the online social experience, with more than half of Internet users posting photos or videos online that they have taken themselves. Let A be the event an Internet user posts photos that they have taken themselves, and B be the event an Internet user posts videos that they have taken themselves. A research center finds that P(A) = 0.44, P(B) = 0.26, and P(A or B) = 0.50.

Required:
Make a Venn diagram showing the events {A and B}, {A and not B}, {B and not A}, and {neither A nor B}.

Answers

Answer:

{A and B} = 0.20

{A and not B} = 0.24

{B and not A} = 0.06

{neither A nor B} = 0.50

Step-by-step explanation:

Given the following :

P(A) = 0.44

P(B) = 0.26

P(A or B) = 0.50.

{A and B} = 0.20

{A and not B} = 0.24

{B and not A} = 0.06

{neither A nor B} = 0.50

Kindly check attached picture for detailed explanation

A bird sits on the branch of a tree, then starts to fly. The height of the bird is described by the function⁡. y=0.6sin(pix/12)+35 where y represents the height of the bird measured in meters, and x represents the number of seconds since the bird left the branch.

Which function expresses y, the number of seconds since the bird left the branch, as a function of x, the height of the bird in meters?

Answers

Answer:

The answer is letter A

Step-by-step explanation:

can someone please help me on my math please

Answers

Answer:

The answer is 112

Step-by-step explanation:

Area= base + base divided by 2 times height.

So 12+16 divided by 2 times 8.

50 people went to a play.
3/5 of the people stayed to the end.
How many people left?

Answers

20 people ended up leaving

The number of people left out of 50 will be 20.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that 50 people went to a play [tex]\dfrac{3}{5}[/tex] of the people stayed to the end.

The number of people stays is calculated as:-

[tex]\rm\ N = 50 \times \dfrac{3}{5}[/tex]

N = 10 x 3

N = 30

The number of people left is calculated as:-

⇒ 50 - 30

⇒20

Therefore, the number of people left out of 50 will be 20.

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if 2 newborn rabbits are put in a pen.How many rabbits will be in a pen in 1 year?

Answers

Answer:

It depends on the gender of those 2 newborn rabbits

Step-by-step explanation:

It seems that the answer is anywhere between 130 and 150

13% VAT is levied on the service provided by a company. If the VAT amount is Rs. 260, find the service charge without VAT.
(Ans: Rs. 2,000)

please solve my problems.​

Answers

The service charge without the VAT is  Rs. 2000.

What is the service charge?

VAT means value added tax. It is a form of tax levied on goods and services. Taxes are compulsory amounts or percentages that is levied on certain goods and services. Taxes increase the price of products.

Service charge = VAT / percentage VAT

260 / 13%

260 / 0.13 = Rs. 2000

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Question 5
An investment of $45 earns 20% interest compounded annually for 3 years. How much is to worth?
O $90.90
O $77.76
O $9.83
O $113.73

Answers

Answer:

  $77.76

Step-by-step explanation:

The future value formula is useful:

  FV = P(1 +r)^t

  FV = $45(1.20^3) = $45·1.728 = $77.76

Jane has a pile of 6 books. Together, the books weigh 4 pounds. If the books are
similar in weight, about how much does each book weigh?


Btw the answers not 2 lbs bc 2lb x 6 = 10 lbs and it needs to equal 4 lbs.

Answers

Answer:

[tex]\frac{2}{3}[/tex] lbs per book

Step-by-step explanation:

     We can divide 4 pounds by the total number of books, 6, to find out how much each book weighs.

     4 lbs / 6 books = [tex]\frac{4/2}{6/2}=\frac{2}{3}[/tex] lbs

Each book weighs [tex]\frac{2}{3}[/tex] lbs

2/3 is equal to about 0.667

Another thing I wanted to note, 2 lbs * 6 = 12 lbs, not 10 lbs.

2.Which side describes a quadrilateral


a. 4-sided polygon

b. 3-sided polygon

c. 2-sided polygon​

Answers

Answer:

Simple, 4 sided polygon

Step-by-step explanation:

Here is the vocabulary:

A quadrilateral is a 4 sided shape, the prefix "quad" is meaning 4
Ex: Squares, Rhombus, Rectangles

A Triangle is a 3 sided polygon. The prefix "tri" means 3 like a tricycle.

Ex: Equilateral, Scalene, Isosceles, or right triangles

2 sided polygon is a digon that isn't used lots in basic geometry. The prefix di means 2.

Ex: Few examples but a common one is digon.

A closed two-dimensional polygon made up of four line segments is called a quadrilateral.

Select the correct answer.
Solve the equation by completing the square.
0=x^2-14x+46

Answers

Answer:

[tex]x=7+\sqrt{3},\:x=7-\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\mathrm{Switch\:sides}[/tex]

[tex]x^2-14x+46=0[/tex]

[tex]\mathrm{Solve\;wit\;Quadratic\;formula}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-14\right)\pm \sqrt{\left(-14\right)^2-4\cdot \:1\cdot \:46}}{2\cdot \:1}[/tex]

[tex]\sqrt{\left(-14\right)^2-4\cdot \:1\cdot \:46}}{2\cdot \:1}=2\sqrt{3}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-14\right)\pm \:2\sqrt{3}}{2\cdot \:1}[/tex]

[tex]\mathrm{Separate\:the\:solutions}[/tex]

[tex]x_1=\frac{-\left(-14\right)+2\sqrt{3}}{2\cdot \:1},\:x_2=\frac{-\left(-14\right)-2\sqrt{3}}{2\cdot \:1}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=7+\sqrt{3},\:x=7-\sqrt{3}[/tex]

~Lenvy~

A right cylinder has radius of 5 cm and a height of 3 cm
Answer the following questions and make sure to show all your work
(a) Find the surface Area of cylinder. ​

Answers

Answer:

251.33cm³

Step-by-step explanation:

take pie as 22/7

surface area = 2π r h + 2π r²

2×22/7×5×3 + 2×22/7×5²

44/7×15 + 44/7×25

660/7 + 1100/7

660 + 1100 all over 7

= 1760/7

251.33cm³ Or 251.43cm³

It’s timed please help

3.2b-4.7b=3b-3.3

What dose b equal

Answers

Answer:

b=0.7(3) The 3 in the parentheses means the 3 repeats forever

Step-by-step explanation:

If you simplify the sides, it will equal -1.5b=3b-3.3. This means that 4.5b=3.3. This means that b=0.7(3). The 3 will repeat forever.

Hopefully the explanation and the answer helps you!

which confidence level would produce the widest interval when estimating the mean of a population based on the mean and standard deviation of a sample of that population? NO LINKS!!!

a. 99%
b. 80%
c. 95%
d. 90%​

Answers

Answer:  A) 99%

Explanation:

The larger the confidence level, the wider the confidence interval gets. Choice A provides the largest such confidence level.

It's like trying to catch an elusive fish. The wider the net, the more confident that you are likely to catch the fish. The size of the net can be a sort of measure of the confidence level.

The confidence level that would produce the widest interval when estimating the mean of a population based on the mean and standard deviation of a sample of that population is 99%.

Option A is the correct answer.

What is a confidence interval?

A confidence interval is a statistical range that is used to estimate the true value of an unknown population parameter, such as a population means or proportion, based on a sample from that population.

The confidence interval provides a range of values that is likely to contain the true population parameter with a certain degree of confidence, which is typically expressed as a percentage.

We have,

The wider the interval, the lower the precision of the estimate, and the higher the confidence level, the wider the interval.

Therefore,

The confidence level that would produce the widest interval when estimating the mean of a population based on the mean and standard deviation of a sample of that population is 99%.

Learn more about confidence intervals here:

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Use the estimates to help you choose each correct answer. 14.8(20.7) = Estimate: 15(20) = 300 1.1(9.8) = Estimate: 1(10) = 10 72.5(4.9) = Estimate: 70(5) = 350

Answers

Answer:

1st 306.36 2nd 10.78 3rd 355.25

Step-by-step explanation:

bc i just skipped and it showed me the answers

Solve the quadratic equation by using the quadratic formula. If the solutions are not real, enter NA. 5x2−7x+1=0

Answers

Answer:

Step-by-step explanation:

a = 5, b = -7 c = 1

[tex]x=\frac{-b\pm\sqrt{{b^2-4ac}}}{2a}\\=\frac{-(-7)\pm\sqrt{{(-7)^2-4(5)(1)}}}{2(5)}\\\\=\frac{{7}\pm\sqrt{{49-20}}}{10}\\\\\\=\frac{{7}\pm\sqrt{{29}}}{10}\\\\[/tex]

so

[tex]x_1=\frac{7+\sqrt{29}}{10}\\x_2=\frac{7-\sqrt{29}}{10}[/tex]

Can someone help please l

Answers

Answer:

x = 10

Step-by-step explanation:

DE = EF, GE = GE, m∠D = m∠F = 90°

so

ΔDGE = ΔFGE

then

3x + 8 = 5x - 12

3x - 5x = -12 - 8

-2x = -20

2x = 20

x = 10

Step-by-step explanation:

Since DE=FE, we know GE is angle bisectors of angle G.

Thus, set those two expressions equal to each other.

3x+8= 5x-12

20=2x

x=10

Suppose that you have a data set of starting salaries and you find an average starting salary of $47,222 with a standard deviation of $6,528. There are 33 observations. What is the (estimated) standard error? Do not include a dollar sign and answer to two decimal places.

Answers

It’s hour be 47.22
Step by step explanation

One notebook sells for 89 cents Mary can buy a package of 12 notebooks for $9.60 how much money can Mary save on each notebook if she buys a package of 12

Answers

Answer:

One notebook = $18.50

One pen= $1.10

18.50+1.10= $19.60

2) We must first set up an algebraic expression

total=15 pencils

total=9 pens

The total amount is the price of one pencil*15

To figure out one pencil:

10 pencils is $24

1 pencil is $2.40

Total= $36

9 pens = 36

Therefore 1 pen is $4

Step-by-step explanation:

1) We need to set up an algebraic expression to solve this problem:

Let n= cost of a notepad

Let p= cost of a pen

First set up an expression for Cynthia's purchase:

cost of notepads*number of notepads + cost of pens*number of pens = total cost

n*2 + p*3 = 40.30

Rewrite as:

2n + 3p = 40.30

Next, set up an expression for Annie's purchase:

Here we will be using the same variables

Again:

cost of notepads*number of notepads + cost of pens*number of pens = total cost

n*3 + p*5 = 61

Rewrite as:

3n + 5p =61

Now, set up a system of equations:

2n + 3p = 40.30

3n + 5p =61

A system of equations can be solved several ways, here I will use the addition/elimination method

For this method one of the variables must be able to be eliminated

Step 1: Pick a variable to eliminate

Here I will eliminate n

Step 2: make the selected variables in the equations equal and opposite so that they cancel out when the equations are added together

(2n + 3p = 40.30)(-3)

(3n + 5p =61)(2)

-6n - 9p = -120.90

6n + 10p = 122

Step 3: add vertically

-6n - 9p = -120.90

6n + 10p = 122

         p  =  1.10

Step 4: Figure out the other variable by inputting the answer you just got back into the original equation

2n + 3(1.10) = 40.30

2n + 3.30 = 40.30

      -3.30      37

         2n = 37

        /2     /2

         n = 18.5

The population of a certain bacteria colony can be modeled by the functionf(x)=x^2 , where x is the number of hours after the colony started. What will the population of the bacteria colony be after 12 hours?

Answers

Answer:

The answer is 24

Step-by-step explanation:

Since the population after x hours is 2x, then after 12 hours, we'll substitute x = 12 into the function.

The population becomes 2 x 12 = 24

Translate the sentence into an equation:
three is 5 more than a number

Answers

Answer:

3=x+5

Step-by-step explanation:

Answer:

x + 5 = 3

Step-by-step explanation:

"Three is 5 more than a number."

The word is indicates that 3 is the final number, or rather, what the equation equals.

Then, 5 more than a number, shows the rest of your equation. A number is just your variable, so any letter. We'll use X. Then, it says that the answer (3) is 5 more than x. So, your equation is:

x + 5 = 3

Evaluate the integral. (Use C for the constant of integration.) 7x3 5x2 49x 5 (x2 1)(x2 7) dx

Answers

Answer:

[tex]\frac{7}{2}ln(|x^2+1|)+\frac{5}{\sqrt{7}}arctan(\frac{x}{\sqrt{7}})+C[/tex]

Step-by-step explanation:

Perform the partial fraction decomposition

[tex]\int{\frac{7x^3+5x^2+49x+5}{(x^2+1)(x^2+7)} } \, dx\\ \\\frac{7x^3+5x^2+49x+5}{(x^2+1)(x^2+7)}=\frac{Ax+B}{x^2+1}+\frac{Cx+D}{x^2+7}\\ \\7x^3+5x^2+49x+5=(x^2+7)(Ax+B)+(x^2+1)(Cx+D)\\\\7x^3+5x^2+49x+5=Ax^3+Bx^2+7Ax+7B+Cx^3+Dx^2+Cx+D\\\\7x^3+5x^2+49x+5=Ax^3+Cx^3+Bx^2+Dx^2+7Ax+Cx+7B+D\\\\7x^3+5x^2+49x+5=x^3(A+C)+x^2(B+D)+x(7A+C)+7B+D[/tex]

Set up a system of equations and solve for each constant

[tex]\begin{cases} A + C = 7\\B + D = 5\\7 A + C = 49\\7 B + D = 5 \end{cases}[/tex]

[tex]A+C=7\\A=7-C[/tex]

[tex]7A+C=49\\7(7-C)+C=49\\49-7C+C=49\\49-6C=49\\-6C=0\\C=0[/tex]

[tex]A=7-C\\A=7-0\\A=7[/tex]

[tex]B+D=5\\B=5-D[/tex]

[tex]7B+D=5\\7(5-D)+D=5\\35-7D+D=5\\35-6D=5\\-6D=-30\\D=5[/tex]

[tex]B=5-D\\B=5-5\\B=0[/tex]

Plug solved constants in and evaluate

[tex]\frac{7x^3+5x^2+49x+5}{(x^2+1)(x^2+7)}=\frac{Ax+B}{x^2+1}+\frac{Cx+D}{x^2+7}\\\\\frac{7x^3+5x^2+49x+5}{(x^2+1)(x^2+7)}=\frac{7x+0}{x^2+1}+\frac{0x+5}{x^2+7}\\\\\frac{7x^3+5x^2+49x+5}{(x^2+1)(x^2+7)}=\frac{7x}{x^2+1}+\frac{5}{x^2+7}[/tex]

Break up integral

[tex]\int {\bigr(\frac{7x}{x^2+1}+\frac{5}{x^2+7}\bigr) } \, dx[/tex]

[tex]\int {\frac{7x}{x^2+1} } \, dx +\int {\frac{5}{x^2+7}} \, dx\\\\\int {\frac{7x}{x^2+1} } \, dx +5\int {\frac{1}{x^2+7}} \, dx[/tex]

Solve first integral

Let [tex]u=x^2+1[/tex] and [tex]du=2xdx[/tex] for the first integral. Thus, [tex]\frac{7}{2}du=7xdx[/tex]:

[tex]\frac{7}{2}\int {\frac{du}{u}}\\\\\frac{7}{2}ln(|u|)+C\\ \\\frac{7}{2}ln(|x^2+1|)+C[/tex]

Solve second integral

Since [tex]5\int {\frac{1}{x^2+7} } \, dx[/tex] is in the form of [tex]\int{\frac{1}{x^2+a^2} } \, dx[/tex], its formula is [tex]\frac{1}{a}arctan(\frac{x}{a})+C[/tex]:

[tex]5\int {\frac{1}{x^2+7} } \, dx\\\\5\bigr(\frac{1}{\sqrt{7}}arctan(\frac{x}{\sqrt{7}})+C\bigr)\\\\\frac{5}{\sqrt{7}}arctan(\frac{x}{\sqrt{7}})+C[/tex]

Combine integrals

[tex]\biggr[\frac{7}{2}ln(|x^2+1|)+C\biggr]+\biggr[\frac{5}{\sqrt{7}}arctan(\frac{x}{\sqrt{7}})+C\biggr]\\ \\\frac{7}{2}ln(|x^2+1|)+\frac{5}{\sqrt{7}}arctan(\frac{x}{\sqrt{7}})+C[/tex]

Use the image above to solve for the
missing angle
3)
106
A) 140°
B) 106
C) 130
D) 85

Answers

106 trust me I gotchu

What is the volume of the solid figure?

The solid shape is made up of two rectangular prisms. The first rectangular prism has a height of 10 inches, length of 5 inches, width of 5 inches and with connecting to the second rectangular prism, has a smaller height of 5 inches. The second rectangular prism has a length of 15 inches, height of 5 inches, width of 5 inches. The total length of the solid is 20 inches.

A.
625 in3

B.
750 in3

C.
800 in3

D.
1,250 in3

Answers

Answer:

A:

625 in3 I think

ok so I think coz I'm in 4rth

What is the square root method? your own explained in words

Answers

Answer:

The square root is an inverse method of squaring a number. Hence, squares and square roots are related concepts. Suppose, x is the square root of y, then it is represented as x=√y or we can express the same equation as x2 = y. Here,'√'is the radical symbol used to represent the root of numbers.

Given the information in the diagram below, what is the measure of LBEC?

Answers

Answer: angle BEC = 43 degrees

Step-by-step explanation:

Straight angle = 180 degrees

75 + 62 = 137

180 - 137 = 43

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