eggs are packaged by the dozen. if a dozen eggs cost $1.20, what is the unit price per egg?

Answer/Step-by-step explanation:

A1. Reference angle = 41°

Hypotenuse = x

Adjacent = 7

Thus, applying trigonometric ratio, we would have:

Cos 41 = 7/x

Multiply both sides by x

x × cos 41 = 7

Divide both sides by cos 41

x = 7/cos 41

x = 9.3 (nearest tenth)

A2. Reference angle = 65°

Hypotenuse = 6

Opposite = y

Thus, applying trigonometric ratio, we would have:

Sin 65 = y/6

Multiply both sides by 6

6 × sin 65 = y

5.4 = y (nearest tenth)

y = 5.4

A3. Reference angle = 50°

Hypotenuse = z

Opposite = 8

Thus, applying trigonometric ratio, we would have:

Sin 50 = 8/z

Multiply both sides by z

z × sin 50 = 8

Divide both sides by sin 50

z = 8/sin 50

z = 10.4 (nearest tenth)

B1. Reference angle = 49°

Hypotenuse = x

Opposite = 7

Thus, applying trigonometric ratio, we would have:

Sin 49 = 7/x

Multiply both sides by x

x × sin 49 = 7

Divide both sides by sin 49

x = 7/sin 49

x = 9.3 (nearest tenth)

B2. Reference angle = 25°

Hypotenuse = 6

Adjacent = y

Thus, applying trigonometric ratio, we would have:

Cos 25 = y/6

Multiply both sides by 6

6 × cos 25 = y

y = 5.4 (nearest tenth)

B3. Reference angle = 40°

Hypotenuse = z

Adjacent = 8

Thus, applying trigonometric ratio, we would have:

Cos 40 = 8/z

Multiply both sides by z

z × cos 40 = 8

Divide both sides by cos 40

z = 8/cos 40

z = 10.4 (nearest tenth)

Answer:

6 times

Step-by-step explanation:

18 / 3 = 6

Answer:

6

Step-by-step explanation:

Solve:

6*3= 18

Check your work:

18 divided by 3

OR

18 divided by 6

Hope this helps!

Answer:

62.5%

Step-by-step explanation:

average = sum of scores / number of scores

60% = [sum of 9 tests] / 9

[new average] = [sum of 10 tests] / 10

= ([sum of 9 tests] + 85%) / 10

= ((9 * 60%) + 85%) / 10

= 62.5%

Answer:

square

Step-by-step explanation:

Answer:

Step-by-step explanation:

100%-17.5%= 82.5%

82.5% (divide) 82.5%= 1%

so (1% of the orginal price)=

£264 (divide) 82.5%= £320= original price

The price of the computer is reduced by £56 which is 17.5% of £320.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, The price of a computer is reduced by 17.5% and the reduced price is £264.

Let the original price be '£x'.

So, (100 - 17.5)% = 82.5% of '£x' is  £264.

∴ (82.5/100)×x = 264.

0.825x = 264.

x = 264/0.825.

x =  £320.

So, The price reduced is (320 - 264) =  £56.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

Answer:

The answer is D. 14

Step-by-step explanation:

If you were to plug in 14 for x, it would look something like this:

[tex]\frac{14-4}{14}[/tex] = [tex]\frac{5}{7}[/tex]

Solve 14-4

[tex]\frac{10\\}{14}[/tex] = [tex]\frac{5}{7}[/tex]

if you were to multiply 5 and 7 by 2, you would get

[tex]\frac{10}{14}[/tex].

This makes the equation true, because

10/14 does equal itself (10/14)

Have a nice day!

Answer:

AB

Step-by-step explanation:

angle C is 58 because 59+63=122 180-122=58

and drag and arrow to the opposite side of each angle and you have your answer

Answer:

It would be at the 8th floor Hope it helped

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

f(x) = -9x² + 2x + 2

Discriminant = 2² - 4(-9)(2) = 76

The discriminant is positive, so there are two distinct roots.

Answer: the width should be 12 i might be wrong i might of overthinked it the question ;-;

Answer: 6

Step-by-step explanation:

6 is the only number next to x and is multiplying with it (ex: 6x would be a coefficient but 6+x would not)

Answer:

81 ............................

Answer:

81

Step-by-step explanation:

just multiply 3 to itself 4 times.

Answer:

It might be D but im srry if wrong

Step-by-step explanation:

Answer:

x= -40b

Step-by-step explanation:

only answer i can think of. hope this helps.

P(x) = 5x² + 5x + 7

"This is a polynomial because it is a 2nd degree trinomial or quadratic".

"Poly: meaning many, and nominal: meaning terms, combine to form the expression: "many terms".

so normally we would be finding the area of a triangle which is a=h*b/2

but in this case we are finding the height so theirs 3 ways to do this but i prefer the basic way

20=1/2(5)h

20=2.5

8=h

and to find out if that was correct lets do  8*5=40      40/ 2 =20  so this is correct

the height is 8

Answer:8

Step-by-step explanation:

Answer:

x=23

Step-by-step explanation:

90-65=25

25-2=23=x

Answer:

y = 2x + 2

Step-by-step explanation:

add two to both sides so that (-)2 cancels out on the side by the y to get it by itself move +2 to the side with the x giving you y = 2x + 2

Answer:

Fixed

x=5.66

Step-by-step explanation:

This is an around about way since it's not a right triangle.

lets call the segment line that bisects the lower right angle= M.

The two triangles created would be similar. So:

4/6=M/(x+3)

4x+12=6M

M=(4x+12)/6

and

(x+3)/(x+4)=M/6

(6x+18)=Mx+4M

M=(6x+18)/(x+4)

since M=M

(4x+12/6=(6x+18)/(x+4)

(x+4)(4x+12)=6(6x+18)

4x^2+12x+16x+48=36x+108

4x^2+28x+48=36x+108

4x^-12x-60=0

x^2-3x-15=0

Factor

(x+2.65)(x-5.66)=0

x=5.66

Answer:

6 pegs can be cut.

Answer:

24

Step-by-step explanation:

!=1

The width of w is 0.90 cm.

The first step to solve this problem is to find how long is each side.  About this, we know one side is 8 1/2 cm or 8.5 but the other side is not exactly given (4cm + w + 2/3 w). To determine the length of this size, use the area formula:

The total length of the side - known side

This means w + 2/3 w (0.66 w) is equal to 1.5

Find w:

Learn more about width in: https://brainly.com/question/3133832

Answer:

Price per mechanical pencil: [tex]\$ 0.5[/tex].

Price per ruler: [tex]\$ 1[/tex].

Step-by-step explanation:

Let the cost per mechanical pencil be [tex]\$ p[/tex], and let the cost per ruler be [tex]\$ r[/tex].

Set up two equations based on the amount of money that each teacher paid.

The cost of [tex]50[/tex] mechanical pencils ([tex]\$ p[/tex] each) and [tex]30[/tex] rulers ([tex]\$ r[/tex] each) would be [tex](50 \, p + 30\, r)[/tex]. That should be equal to the amount of money that Mrs. Ortiz paid. In other words, [tex]50 \, p + 30\, r = 55[/tex].

Similarly, the cost of [tex]30[/tex] mechanical pencils ([tex]\$ p[/tex] each) and [tex]30 \![/tex] rulers ([tex]\$ r[/tex] each) would be [tex](50 \, p + 30\, r)[/tex]. That should be equal to the amount of money that Mr. Donahue paid. In other words, [tex]30 \, p + 30\, r = 45[/tex].

That gives a system of two equations:

[tex]\left\lbrace \begin{aligned}& 50 \, p + 30\, r = 55 \\ & 30 \, p + 30\, r = 45 \end{aligned}\right.[/tex].

Subtract the second equation for the first:

[tex]20\, p = 10[/tex].

[tex]\displaystyle p = \frac{1}{2} = 0.5[/tex].

In other words, the cost of one mechanical pencil would be [tex]\$0.5[/tex].

Substitute [tex]p = 0.5[/tex] back to either equation and solve for [tex]r[/tex], the cost of one ruler.

[tex]50 \times 0.5 + 30\, r = 55[/tex].

[tex]30\, r = 55 - 25 = 30[/tex].

[tex]r = 1[/tex].

In other words, the cost of one ruler would be [tex]\$ 1[/tex].

Answer:

In the question, it says that this is a proportional relationship.

A proportional relationship is something like:

y = k*x

So when we have x = 0, we also need to have y = 0.

For the case in the question, this does not happen, so i guess that the actual question is:

"At a gourmet coffee shop. 3.5 pounds of dark-roast coffee beans cost $56 and 7 pounds of the same coffee cost $112."

We can define:

x = amount of coffee

y = price of that coffee

Now we have two pairs:

$56 to get 3.5lb

$112 to get 7lb

Then we have two points:

(3.5lb, $56)

(7lb, $112)

We can draw these two points and then connect them with a line, this line will represent the proportional relationship.

Now we need to look at the value 1 in the x-axis, then draw a vertical line

At the point where this vertical line intersects the graph, we draw a horizontal line, and the value of y is the value at which this horizontal line intersects the y-axis.

(you can see a rough sketch of this in the image below)

The solution is 1lb of coffee costs $16.

Answer:

a = -8

Step-by-step explanation:

you can solve this proportion by cross-multiplying:

4(a + 9) = -1(a + 4)

now distribute to eliminate parentheses

4a + 36 = -1a - 4

5a + 36 = -4

5a = -40

a = -8

Answer:

The slope is 5

the y-intercept is (0,7)

Step-by-step explanation:

Answer:

1728

Step-by-step explanation:

Volume=length*width*height

Vol=18*8*12=1728 cubic inches