Dustin decides to try selling whole-wheat muffins and bagels at his farm stand. He has $60 to spend on ingredients and 8 hours to prepare the muffins and bagels that he will sell on opening day. One dozen muffins costs $10 and takes 1 hour to make, while one dozen bagels costs $15 and takes 3 hours to make. Graph all possible combinations of the food that meets his goal. Which combination of bagels and muffins would meet Dustin's goal?
A. 4 dozen bagels and 3 dozen muffins
B. 2 dozen bagels and 6 dozen muffins
C. 3 dozen bagels and 1 dozen muffins
D. 1 dozen bagels and 3 dozen muffins

Answer:

x=180

Step-by-step explanation:

Let us have x represent the entire mask collection

We know that 117 is 65% of his collection. We want to know the total number of masks he has

The equation we set up is:

117 is 65% of x: this translates to

117=0.65x, then we solve for x by dividing 0.65 by both sides

180=x

The total number of masks Josiah has is 180.

Answer:

He kept 7/12 of the box.

Step-by-step explanation:

We add and convert both 1/6 and 1/4 because we cant add fractions with unlike denominators.

1/6 = 2/12  | 1/4 = 3/12

then add.

2/12 + 3/12 = 5/12.

we subtract this from a whole, which is 12/12.

12/12 - 5/12 = 7/12

he keeps 7/12 of the box

hope this helped!

Answer:

3.6

Step-by-step explanation:

15 divide by 100 x 24

Answer:

24 right handed students

Step-by-step explanation:

1. Out of every 5 students, 4 are right handed and 1 is left handed. We can say that 1/5 of the class is left handed.

2. Multiply 30 by 1/5 to get 6 left handed students in the class.

3. Take the 30 students in the class and subtract the 6 left handed students.

4. The remaining 24 students must be right handed.

Step-by-step explanation:

let eqn be y = 1/2x + b

sub (-6, 1):

1 = 1/2(-6) + b

b = 4

therefore, eqn is y = 1/2x + 4

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

At 7.5 hours

Step-by-step explanation:

good luck dude

Answer:

At approximately 5.1 hours, both hosts will charge about the same amount.

Step-by-step explanation:

First, form the equations for both hosts.

X represents hours and the number by itself (75, and 84) are the initial amount.

Host A: y = 12.25x + 75

Host B: y = 10.50x + 84

Now, we would set the equations equal to each other to solve for x, which will help us determine when both hosts will charge the same amount.

12.25x + 75 = 10.50x + 84

Subtract 10.50x and 75 from both sides.

1.75x = 9

Now, divide by 1.75.

x = 5.1428571428571428571428571428571

It says round to the nearest tenth, so we would round to 1 decimal place after the decimal.

x = 5.1

At approximately 5.1 hours, both hosts will charge about the same amount.

Answer:

The required probability (P) =  1/6

Step-by-step explanation:

From the given information:

Suppose two dice are observed; Then the number of outcomes in first dice = 6 i.e (1,2,3,4,5,6) and also the number of outcomes in second dice = 6 as well i.e (1,2,3,4,5,6)

The total number of outcomes of two dices = 6×6 = 36

Now for a sum that is less than 5; their outcomes are [(1,1) ,(1,2) , (1,3) ], [(2,1), (2,2) ], (3,1) = 6 outomes

The total number of outcomes for the sum that is less than 5 = 6

∴

The required probability (P) = Total number of outcomes for the sum that is less than 5 / Total number of outcomes of two dices

The required probability (P) = 6/36

The required probability (P) = 1/6

The probability that the sum is less than 5 is [tex]1\div 6[/tex].

Since two dice are observed.

So the number of outcomes in first dice = 6 i.e (1,2,3,4,5,6) and also the number of outcomes in second dice = 6 as well i.e (1,2,3,4,5,6)

Now

The total number of outcomes of two dices = 6(6) = 36

Now for a sum that is less than 5; their results should be [(1,1) ,(1,2) , (1,3) ], [(2,1), (2,2) ], (3,1) = 6 outomes

So here the probability is

[tex]= 6/36\\\\= 1/6[/tex]

learn more about probability here: https://brainly.com/question/24164645

Answer:

Total distance traveled = 1/3 + 1/2 = 2+3/6 = 5/6 miles

Hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

so what you need to do is subtracked 26 with 46 then you get the ansewer 20 but after that you have to do 20 divided by 4 and you will get your answer.

Answer:

1700

Step-by-step explanation:

The five affects the six

Answer:

1700

Step-by-step explanation:

look in the hundreds place and look at one number to the left. If it is 5 or round up. If it is 4 or less round down.

Answer:

y-10=9x+72

y-10-72=9x

y-82=9x

y=9x+82

Answer:

D. 170 ft

Step-by-step explanation:

Area of painted = area of parallelogram Area of parallelogram = base × height

Height of the parallelogram = 10 ft

Base of parallelogram = 17 ft

Therefore:

Area of the logo painted = 10 ft × 17 ft = 170 ft

Answer:

18263

Step-by-step explanation:

sp= 20000

profit= 1737

CP= sp- profit

20000-1737

18263

Answer:

a) $8018.78

b)   $8056.60

c)  8540 / (1+r)

d)  r = (8540/x) - 1 where "x" is the list price.

Step-by-step explanation:

Recall that the:

total price paid = list price + sales tax

total price paid = list price + percent * list price

a) then, in Washington:

8540 = x + 0.065 * x

8540 = x (1 + 0.065)

8540 = x (1.065)

x = 8540 / 1.065

x = $8018.78

b) in Idaho where the sales tax is 6.0% we do a similar calculation but using the decimal form of the percent 0.06:

8540 = x (1 + 0.06)

8540 = x (1.06)

x = 8540 / 1.06

x = $8056.60

c) If the percent tax is "r" then:

we do:

8540 = x (1+r)

x = 8540 / (1+r)

d) solving for "r" instead of for "x":

8540 = x (1+r)

divide by "x" (the list price):

(8540/x) = 1 + r

subtract 1 from both sides:

(8540/x) - 1 = r

Answer:

.5 for the first blank

2 for the second blank

Answer:

110

Step-by-step explanation:

calculator

the answer is one hundred and ten.....110

Answer:

Write in standard form.

(x−6)2+(y−5)2=49

Answer:

Step-by-step explanation:

Answer:

672

Step-by-step explanation:

Step-by-step explanation:

If you want the "root" of the equation...

First get y by itself on one side. You should get y = - x - 8.

Notice that this is the equation of a straight line.

Then let y = 0, and solve for x. You should get x = -8.

So the solution or "root" of the equation is at the point (-8,0)

Answer:

X=0, y=0, x=3

Put the values into the equation. You should get -4,0

-2(-4) –2(0)=8

Answer:

59200

Step-by-step explanation:

Can you hive me 5 stars thanks : )

Answer:

A

Step-by-step explanation:

Just multiply 1166 by 0.2879

Answer:

✅ A. 335.69 dinar

⬇⬇⬇

Answer:

The answer is "4 terms".

Step-by-step explanation:

[tex]\sum_{n=1}^{\infty} \frac{(-1)^{n+2} (0.4)^{2n+1}}{(2n+1)!} \ \ \ \ \ error \leq 0.0000001\\\\\\\sum_{n=1}^{\infty} \frac{(-1)^{n+2} (0.4)^{2n+1}}{(2n+1)!} = \frac{-1^{0+2}}{1!}(0.4) + \frac{-1^{1+2}}{3!}(0.4)^3 +\frac{-1^{2+2}}{5!}(0.4)^5+\frac{-1^{3+2}}{7!}(0.4)^7+..\\\\[/tex]

                                  [tex]=0.4 - \frac{0.4^3}{3!} + \frac{0.4^5}{5!} - \frac{0.4^7}{7!}+ \frac{0.4^9}{9!} - \frac{0.4^{11}}{11!}+............\\[/tex]

Note that, alternatively, positive and negative terms are given in the sequence. It is also alternating  

Apply alternative test series:

[tex]\sum_{n=1}^{\infty} (-1)^{n-1} b_n = b_1-b_2+b_3-b_4+b_5-......+(-1)^{n-1} b_n >0\\\\i) b_{n+1}<b_n \ \ \ \ \forall_n \\\\ii) lim_{x\longrightarrow \infity} \ b_n = 0[/tex]

use alternating test method we get:

[tex]\sum_{n=1}^{\infty} \frac{-1^{n-1}}{n^2}\\\\s =0.4 - \frac{0.4^3}{3!} + \frac{0.4^5}{5!} - \frac{0.4^7}{7!}+ \frac{0.4^9}{9!} - \frac{0.4^{11}}{11!}+..\\\\b_5= \frac{0.4^9}{9!} = 0.00000000072 < \frac{1}{10^7} =0.0000001[/tex]

that's why its value is 4 terms

The approximation 0.0000001 within the convergent value of that series the fourth term.

It is the convergent series when it is term decrease in absolute value and approaches the zero limit.

[tex]\sum_{n=1}^{\infty} \dfrac{(-1)^{n+2}(0.4)^{2n+1}}{(2n+1)!}[/tex]

When error ≤ 0.0000001

[tex]\begin{aligned} \sum_{n=1}^{\infty} \dfrac{(-1)^{n+2}(0.4)^{2n+1}}{(2n+1)!} &= \dfrac{(-1)^{0+2}}{1!}(0.4) + \dfrac{(-1)^{1+2}}{3!}(0.4)^{3} + ..............\\\\&= 0.4 - \dfrac{0.4^{3}}{3!} + \dfrac{0.4^{5}}{5!} - \dfrac{0.4^{7}}{7!} + ...............\end{aligned}[/tex]

Now by the alternative test series, we have

[tex]\Sigma _{n=1}^{\infty} (-1)^{n-1} b_n =b_1-b_2+b_3-b_4+....+(-1)^{n-1}b_n > 0\\[/tex]

Then

[tex]i) \ \ b_{n+1} < b_n \ \ \ \ \forall _n\\\\ii) \ \ lim_{x \rightarrow } b_n = 0[/tex]

Then by the alternative test method, we have

[tex]\sum_{n=1}^{\infty} \dfrac{(-1)^{n-1}}{n^{2}} \\\\s = 0.4 - \dfrac{0.4^3}{3!} + \dfrac{0.4^5}{5!} -\dfrac{0.4^7}{7!}+....\\\\b_5 = \dfrac{0.4^9}{9!} = 0.00000000072 < \dfrac{1}{10^7} = 0.0000001[/tex]

More about the alternative test series link is given below.

https://brainly.com/question/16969349

Answer:

To add fractions, find the LCD (Least Common Denominator) or any common denominator of the fractions. For example, if you wanted to add 1/3+2/7, you find the LCD, which is 21, because 3x7=21, and 3 and 7 are both prime numbers. Now each fraction will have denominators of 21, so we will get 7/21+6/21. To add them together, add the numerators to get 13/21. Find the least common denominator of two fractions and then add the numerators. Hope it helps!

Step-by-step explanation:

Complete question is;

In a recent poll, the Gallup Organization found that 45% of adult Americans believe that the overall state of moral values in the United States is poor. Suppose a survey of a random sample of 25 adult Americans is conducted in which they are asked to disclose their feelings on the overall state of moral values in the United States. Find and interpret the probability that exactly 13 of those surveyed feel the state of morals is poor.

Answer:

P(X = 13) = 0.1236 or 12.36%

This means that in 100 trials, approximately 12 of the trials should have exactly 13 of those surveyed feel the state of morals is poor

Step-by-step explanation:

We are given;

Sample size; n = 25

Chance of success; p = 45% = 0.45

This question is a binomial probability distribution problem and the formula is;

P(X = x) = nCx × p^(x) × (1 - p)^(n - x)

probability that exactly 13 of those surveyed feel the state of morals is poor is;

P(X = 13) = (25C13) × 0.45^(13) × (1 - 0.45)^(25 - 13)

P(X = 13) = 5200300 × 0.00003102864 × 0.00076621787

P(X = 13) = 0.1236 or 12.36%

This means that in 100 trials, approximately 12 of the trials should have exactly 13 of those surveyed feel the state of morals is poor

Answer:

The length of a rectangle is 3 times its width.

The perimeter is 92 cm.

Length --> x

Width --> 3x

Area of the rectangle --> y

so

3x·x = y

2(3x)+2x = 92 --> 6x + 2x = 92 -> 8x = 92 --> x =11.5 cm

so

y = 3(11.5)·11.5

y = 396.75 cm²

THE AREA IS 396.75 cm²

Answer:

Step-by-step explanation:

Let Width of rectangle =X

So length of rectangle =3x

Perimeter of rectangle=92

Perimeter of rectangle =2(length +width)

2(length+width)=92

2(3x+X)=92

8x=92

X=92/8

Width X=11.5cm

So length 3x=11.5×3

=34.5cm

Area of rectangle =34.5×11.5

=396.75cm^2

Answer:

x = 40

Step-by-step explanation:

2x = 80° (Alternate Interior Angles)

x = 40

Answer: -6, -3, 0

Step-by-step explanation:

Because it’s right :)

Answer:

A, C, E

Step-by-step explanation:

-6, -3, 0