What is the unit price for trail mix if a 8 ounce bag cost $2.80.

Answer:

5 years

Step-by-step explanation:

Step one:

Given Information

Principal= $34,000

rate = 4.8%

SImple interest = $8,160

Required

The time T of the investment

Step two:

the expression for simple interest is

[tex]SI= PRT/100[/tex]

substitute

[tex]8160 = 34000*4.8*T/100[/tex]

cross multiply we have

[tex]8160*100= 34000*4.8*T\\\\816000= 163200T\\\\[/tex]

divide both sides by 163200

[tex]816000/163200= T\\\\T= 5 years[/tex]

Answer: 234,253.50

Work: I did 22 to the power of 4 first and I got 234256. I subtracted 2 which is 234254, and than took 1/2. So, the answer is 234253.50.

Answer:

the pic has the answer

Explanation:

The relationship between the sine and cosine of ∠A and the sine and cosine of ∠B for given angles, sin(A) =  cos(B) and

sin(B) = cos(A)

"Two or more angles are complementary if their sum is 90° "

For given question,

∠A and ∠B are complementary angles.

⇒ ∠A + ∠B = 180°

For ∠A = 15° the measure of ∠B is 75°

For ∠A = 30° the measure of ∠B is 60°

For ∠A = 45° the measure of ∠B is 45°

For ∠A = 60° the measure of ∠B is 30°

For ∠A = 75° the measure of ∠B is 15°

So, the sine and cosine of ∠A and ∠B would be,

∠A      ∠B      sin(A)    cos(A)     sin(B)     cos(B)

15°       75°     0.25       0.97       0.97       0.26

30°      60°     0.5         0.87       0.87        0.5

45°      45°     0.71         0.71        0.71        0.71

60°      30°     0.87        0.5         0.5         0.87

75°      15°      0.97        0.26       0.26       0.97

From above records, we can observe that  sin(A) =  cos(B) and

sin(B) = cos(A)

Therefore, the relationship between the sine and cosine of ∠A and the sine and cosine of ∠B for given angles, sin(A) =  cos(B) and

sin(B) = cos(A)

Learn more about complementary angles here:

https://brainly.com/question/5708372

#SPJ2

Answer:

JL=22x-6

Step-by-step explanation:

We have JK=KL

Answer:

3

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

hope this helps!

Answer 2  2/19

there is you answer

Given:

End points a line segment are (9,-8) and (-1,-4).

To find:

The equation of perpendicular bisector of given line.

Solution:

Slope of given line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m_1=\dfrac{-4-(-8)}{-1-9}[/tex]

[tex]m_1=\dfrac{-4+8}{-10}[/tex]

[tex]m_1=\dfrac{4}{-10}[/tex]

[tex]m_1=-\dfrac{2}{5}[/tex]

Product of slopes of two perpendicular line is -1.

[tex]m_1\times m_2=-1[/tex]

[tex](-\dfrac{2}{5})\times m_2=-1[/tex]

[tex]m_2=\dfrac{5}{2}[/tex]

So, slope of perpendicular bisector is [tex]\dfrac{5}{2}[/tex].

Perpendicular bisector passes through the midpoint of given endpoints.

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{9+(-1)}{2},\dfrac{(-8)+(-4)}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{-12}{2}\right)[/tex]

[tex]Midpoint=\left(4,-6\right)[/tex]

So, perpendicular bisector passes through (4,-6) and having slope [tex]\dfrac{5}{2}[/tex]. The equation of perpendicular bisector is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

[tex]y-(-6)=\dfrac{5}{2}(x-4)[/tex]

[tex]y+6=\dfrac{5}{2}(x)+\dfrac{5}{2}(-4)[/tex]

[tex]y+6=\dfrac{5}{2}x-10[/tex]

[tex]y=\dfrac{5}{2}x-10-6[/tex]

[tex]y=\dfrac{5}{2}x-16[/tex]

Therefore, the equation of perpendicular bisector is [tex]y=\dfrac{5}{2}x-16[/tex].

Answer:

cost of crab meals = $20

cost of vegetarian meals = $38

Step-by-step explanation:

Let

x = cost of crab meals

y = cost of vegetarian meals

Troop A

12 crab meals and 23 vegetarian meals, with total receipts of $916.

12x + 23y = 916

Troop B

12 crab meals and 12 vegetarian meals, bringing in a total of $696

12x + 12y = 696

12x + 23y = 916 (1)

12x + 12y = 696 (2)

Subtract (2) from (1)

23y - 12y = 916 - 696

11y = 220

y = 220/11

= 20

y = 20

Substitute y = 20 into (1)

12x + 23y = 916

12x + 23(20) = 916

12x + 460 = 916

12x = 916 - 460

12x = 456

x = 456/12

= 38

x = 38

cost of crab meals = $20

cost of vegetarian meals = $38

Answer:

x=1

Step-by-step explanation:

Answer:

Step-by-step explanation:

$40 per day represents the slope

Finding the y-intercept:

The function is then:

Answer:

11

Step-by-step explanation:

8+6=14

14-3=11

Answer:

m into5

Step-by-step explanation:

Answer:

ANSWER 4:3

Step-by-step explanation:

Given : A point P is 4/7 of the distance from M to N.

∴ Let the distance between M to N be d.

Also,  the point P partition the directed line segment from M to N .

Thus , MN = MP+PN

Now, the ration of MP to PN will be :-

∴ Point P partitioned the line segment MN into 4:3.

Answer:

[tex]\frac{4}{5}[/tex]

Answer:

-17,-6and 1,-6

Step-by-step explanation:

[tex]the \: surface \: area \: of \: both \: cone = 2(\pi{rl} + \pi{ {r}^{2} } ) \\ total \: surface \: area \: of \: both \: cone = 2(\pi{( \frac{1.4}{2} )(2.7)} + \pi{ {( \frac{1.4}{2} )}^{2} } ) \\ total \: surface \: area \: of \: both \: cone = \boxed{4.76\pi} \\ \\ the \: surface \: area \: of \: the \: cylinder = 2\pi{rl} +2 \pi{ {r}^{2} } \\ the \: surface \: area \: of \: the \: cylinder = 2\pi{( \frac{1.4}{2} )(7.5)} +2 \pi{ {( \frac{1.4}{2} )}^{2} } \\ the \: surface \: area \: of \: the \: cylinder = \boxed{11.48\pi} \\ \\ therefore \: the \: surface \: area \: of \: the \: composite \: object \: = \boxed{4.76\pi + 11.48\pi} \\ the \: surface \: area \: of \: the \: composite \: object \: = \boxed{16.24\pi}[/tex]

Answer:

x=5

Y=0

Hope this helpssssssssssssssss

Answer:

x=1; y=13/5

Step-by-step explanation:

(I'm sure you can do given yourself)

<D=<B                 Def of parallelogram

8x+5=5y              Substitution

<a and <d is         Def of paralleogram

supplementary

3x+10=5y             Substitution

8x+5=5y                 Do system of equations

3x+10=5y                

8x+5=3x+10            they both equal 5y so set both the equations together

5x+5=10                  subtract 3x from both sides

5x=5                       subtract 5 from both sides

x=1                            divide by 5 on both sides

8(1)+5=5y                  plug in x to one of the previous equations

13=5y                         Simiplfiy

y=13/5                        

Answer:

The answer is 3 children per family.

Step-by-step explanation:

This is a fraction equal to

6 children ÷ 2 familys =3 children per family.

Just took the quiz.

Answer: Mark up percent = 20%

Step-by-step explanation:

Given: Cost price of each T-shirt = $5.00

Amount required = $450

Total students = 75

Market price for each T-shirt to raise the required amount = (Amount required ) ÷ 75

= $450 ÷ 75

= $ 6

Mark up percent = [tex]\dfrac{\text{Market price - Cost price}}{\text{Cost price}}\times100[/tex]

[tex]=\dfrac{6-5}{5}\times100\\\\=20\%[/tex]

Hence, Mark up percent = 20%

Answer:   -19+27

Step-by-step explanation:

Answer:

[tex]\boxed{x = -7~~and~~ y =-7}[/tex]

Step-by-step explanation:

y = 3x + 14

y = x

.

x = 3x + 14

3x - x = -14

2x = -14

[tex]x = \frac{-14}{2}[/tex]

x = -7

.

y = x

y = -7

Answer:

x = 7 and y = -7

Step-by-step explanation:

use substitution method

Answer:

40 is the total amount of cookies

32 is the amount left

Step-by-step explanation:

If 20% of cookies equal to 8 then to find how many are there in total we multiply 8 with 100 then divide it with 20

8 × 100 ÷ 20 = 40

Answer:

Yes

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

y < -3/4x - 1

Solution set (-1, -5)

Step 2: Check

Here we see that -1/4 is indeed bigger than -5.

∴ The ordered pair is a solution.

Answer:

8.4 kg

Step-by-step explanation:

First, find how much waste is created in a week:

Multiply 2 by 7, since they create 2 kg of waste each day:

2(7)

= 14 kg

Then, find 60% of this:

Multiply 14 by 0.6:

14(0.6)

= 8.4

So, the amount of compostable waste created by 1 person in a week is approximately 8.4 kg

The amount of compostable waste that could be generated by one individual in a week would be closest to 8.4kg.

Using this formula
Compostable waste amount=Kg of waste× Number of days in a week× Municipal solid waste percentage

Where:
Kg of waste=2kg

Number of days in a week=7 days

Municipal solid waste percentage=60% or 0.60

Let plug in the formula

Compostable waste amount=2kg×7 days×0.60

Compostable waste amount=8.4 kg

Inconclusion the amount of compostable waste that could be generated by one individual in a week would be closest to 8.4kg.

Learn more about compostable waste here:https://brainly.com/question/25342752

Answer:

60xyz

Step-by-step explanation:

Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest

Step-by-step explanation:

4/3 = -6e - 5/3

6e = -4/3 - 5/3

6e = -9/3 = -3

e = -0.5

Answer:

The equation is always false

Step-by-step explanation:

Answer:

200%

Step-by-step explanation:

if you substitute in numbers you'll find this as the answer.

as an example:

suppose the sides of the rectangle was 1 unit long.

area before change: 1 * 1 = 1

then, the length gets increase by 50% making it 1.5 ( 50% of 1 is 0.5, then you add it onto 1, 1 + 0.5 = 1.5 )

the width gets increased by 100% making it 2 ( 1 + 1 = 2 )

new area: 1.5 * 2 = 3

1 increased by 200% is 3, therefore the answer is 200%

Answer:

slope = - [tex]\frac{3}{11}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, 7) and (x₂, y₂ ) = (6, 4)

m = [tex]\frac{4-7}{6+5}[/tex] = [tex]\frac{-3}{11}[/tex] = - [tex]\frac{3}{11}[/tex]

Answer:

equation form: x=-131/8y -31/40

Step-by-step explanation:

this is addition/elimination

Step-by-step explanation:

(-2x+10y=25) × 2.5

-5x+25y=62.5

x-25y=3

-5x+x+25y-25y=62.5+3

-4x=65.5

x =65.5÷4

=16.375

16.375-25y=3

-25y=3-16.375

-25y=-13.375

y=- 13.375÷-25

=0.535

i tried.