A 4-pound bag of carrots costs $2.48. What is the unit price? *

Answer:

[tex]m\angle N=57^{\circ}[/tex]

Step-by-step explanation:

From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares [tex]LM\cong LN[/tex], the remaining unknown angles are equal ([tex]m\angle N=m\angle M[/tex]). The sum of the interior angles of a triangle always add up to [tex]180^{\circ}$[/tex].

Therefore:

[tex]m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}[/tex] .

Answer:

LMN is rectangle in L so LMN= 180° ; ML=66°;N=?  N= 180°- 66°=114=114/2= 57° so N=57°

Step-by-step explanation:

When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.

Answer:

Average rate of change for given function is: -2

Step-by-step explanation:

Given function is:

[tex]f(x)=x^2-6x+8\\x_12= 1\\x_1 = 3[/tex]

In order to find the rate of change, we have to find the value of function on x1 and x2

So,

[tex]f(x_1) = (3)^2-6(3)+8 = 9-18+8 = -1\\f(x_2) = (1)^2-6(1)+8 = 1-6+8 = 3[/tex]

The formula for finding the rate of change is:

[tex]Rate\ of\ change = \frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]

Putting the values, we get

[tex]=\frac{3-(-1)}{1-3}\\=\frac{3+1}{-2}\\=\frac{4}{-2}\\= -2[/tex]

Hence,

Average rate of change for given function is: -2

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

y-3 = 3x+12

y = 3x +15

so slope = 3 ( number next to the x)

Answer: The length is 9 inches.

Step-by-step explanation:

Find the length:

Answer:

The length is 9.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Substitute the value for x.

f(-5) = 3(-5) - 2

f(-5) = -15 - 2

f(-5) = -17

Answer:

The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

Step-by-step explanation:

Let the rental cost of 1 movie be m.

Let the rental cost of 1 video game be v.

Step-by-step explanation:

Answer:

4.61% increase (round up as needed)

Step-by-step explanation:

Subtract the smaller amount from the larger to find the dollar difference

[tex]68-65=3[/tex]

Then divide the difference by the original amount

[tex]3/65=0.0461[/tex]

Move the decimal point over two spaces (multiply by 100) to get your percentage

0.0461=4.61%

Round up as needed.

Answer:

-8x+2

Step-by-step explanation:

i got a 100 on this test

Answer:

A

Step-by-step explanation:

Since the triangle is right use Pythagoras' identity to find EF

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

EF² + DF² = DE² ← substitute values

EF² + 12² = 18², that is

EF² + 144 = 324 ( subtract 144 from both sides )

EF² = 180 ( take the square root of both sides )

EF =  → A

Answer:

$392

Step-by-step explanation:

Given the expression :

Total cost = 20a + 13c

a = adult

c = student

The total cost for 4 adults and 24 students

a = 4 ; c = 24

Total cost :

20(4) + 13(24)

80 + 312

= $392

Answer:

The density of the marble is 2,000 kg/m³

Step-by-step explanation:

The given parameters for finding the density of the marble are;

The volume of water in the graduated cylinder, v₁ = 20 ml

The mass of the marble dropped into the graduated cylinder, m = 8 g

The new volume of the cylinder after the 8 g marble is dropped into the cylinder, v₂ = 24 ml

Therefore, the volume of the marble, v = v₂ - v₁

Substituting the known values gives;

The volume of the marble, v = 24 ml - 20 ml = 4 ml

Density, ρ = Mass, m/(Volume, v), the units of density is kg/m³

Therefore, the density of the marble, [tex]\rho _{marble}[/tex], is given as follows;

[tex]\rho _{marble}[/tex] = m/v = (8 g)/(4 ml) = 2 g/ml

1 g/ml = 1 kg/l = 1,000 kg/m³

∴ [tex]\rho _{marble}[/tex] = 2 kg/l = 2,000 kg/m³.

Answer:

We can write the equation for the first part of this problem as:

16

+

4

x

=

10

+

14

We can now solve for  

4

x

:

−

16

+

16

+

4

x

=

−

16

+

24

0

+

4

x

=

8

4

x

=

8

To find the value of  

8

x

we can multiply each side of this equation by  

2

:

2

×

4

x

=

2

×

8

8

x

=

16

Step-by-step explanation:

Answer:

Step-by-step explanation:

we can easily find this by looking at our y intercept

our y intercept here is (0, -1) so the equation who has -1 as a constant is the one were looking for

so C would be oour answer since its the only one with -1 as its constant

hope this helps <3

Answer:

For Literature = 90 pages

For Grammar = 60 pages

Step-by-step explanation:

An English book consists of two sections, literature and grammar, in a ratio of 3:2. How much of each type of content will be needed to make a book of 150 pages?

Literature : Grammar

3 : 2

Total number of Proportion = 3 + 2 = 5

For Literature

= 3/5 × 150 pages

= 90 pages

For Grammar

= 2/5 × 150 pages

= 60 pages

Answer: 2 more games

Step-by-step explanation:

From the question, we are informed that a baseball team has won 6 game and lost 4 game.

We are further told that the team dosent lose anymore games and want to know the number of games they must win to have a ratio of 2:1.

Since they have lost 4 games and need a ratio of 2:1. This means we have to multiply the game lost by 2. This will be: = 4 × 2 = 8 games.

Since they've won 6 games already, they'll need to win = 8 - 6 = 2 games more.

Answer:

I am sorry I really don't know I will try to help if I get it sorry :((

Step-by-step explanation:

Answer:

2.5 ounces drip from the faucet per hour.

Step-by-step explanation:

You can figure this out by dividing the amount of water (7.5) by the hours (3).

7.5/3 = 2.5

To check your work you can do the same for the other combinations.

10/4=2.5, 12.5/5=2.5....

I hope this helped :)

Answer:

There is not a proportional relationship

Step-by-step explanation:

The first and second hour the pay is $9.50/hour, but in the third hour the pay is $11/hour. Then in the fourth hour it changes again to $10/hourIf there was a proportional relationship there would need to be a constant rate of change in pay.

Answer:

Yes, the proportional relationship is 9.50

Step-by-step explanation:

In the graph that you have attached this picture with, hours x 9.50 = pay.

Hope this helps :D

Answer:

m = 2, b = 4.6

Step-by-step explanation:

The slope intercept formula is y = mx + b, So you can substitute for the values given.

Answer:

1/18

Step-by-step explanation:

-9/18 + 10/18

Answer:

1/18

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

F = 1.8(20)+32 = 68

Answer:

£15

Step-by-step explanation:

Angad : Nick = 5 : 1

Let

Nick share = x

Angad share = x + £60

Angad : Nick

5 : 1 = x + £60 : x

5/1 = x + 60 / x

Cross product

5 * x = 1 * x + 60

5x = x + 60

5x - x = 60

4x = 60

x = 60/4

x = 15

Nick get £15

Answer:

Her height would be 162.56 centimeters tall.

Step-by-step explanation:

There are 12 inches in 1 foot so that would mean that 1 foot has 30. 48 centimeters.

30.48 x 5 = 152.4

Add the 4 extra inches so 4 inches in centimeters is 10.16

152.4 + 10.16 = 162.56

[tex]\longmapsto \sqrt{{16} } \\ \\ \longmapsto{4} [/tex]

Answer:

[tex] 2 \dfrac{1}{4} [/tex]

Step-by-step explanation:

[tex] -5 \dfrac{1}{2} + 7 \dfrac{3}{4} = [/tex]

[tex] = -5 \dfrac{2}{4} + 7 \dfrac{3}{4} [/tex]

[tex] = 7 \dfrac{3}{4} - 5 \dfrac{2}{4} [/tex]

[tex] = 2 \dfrac{1}{4} [/tex]

Answer:

im confused as you are

Step-by-step explanation:

look so what it is saying its that theres 22 in total. 14 already have a sibling and 18 have a pet. 22-14 is 8 and 22-18 is 4. how are you supposed to find the rest of them who have both?

Answer:

Answer is 10

Step-by-step explanation:

Attatchment