Gary goes to the grocery store to buy hot dogs and hamburgers for a cookout. He buys a total of 8 packages for a total of $28.52. A package of hot dogs costs $2.29 and a package of hamburgers costs $5.69.

Answer:34 13

Step-by-step explanation:

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Answer:

they are not equivalent

Step-by-step explanation:

12/27 reduces to 4/9 if you divide by 3

20/36 reduces to 5/9 if you divide by 4

4/9 ≠ 5/9

Step-by-step explanation:

Get your answer by reducing them:

12/27=4/9 ( in the table of 3)

20/36=5/9 ( in the table of 4)

hope it helps

Answer:

The volume of the space for each drawer is 6 feet^3.

Step-by-step explanation:

Solve for the volume of the entire dresser.

Formula for volume of a rectangle:

Volume (v) = Length (l) × width (w) × height (h)

v = 2 × 6 × 3

v = 12 × 3

v = 36

Now divide the volume by the number of drawers.

36 ÷ 6 = 6

Answer:

34.99°

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE FIQURE

Let angle( X) = angle if elevation

From trigonometry, tan(X)= opposite/ adjacent

Height of the flagpole= 21 ft , which is the opposite side

The base, adjacent side = 30 ft

If we substitute the values we have

Tan(X) = 21/30

Tan(X)= 0.7

Tan-1(0.7)=34.99°

Hence, the angle of elevation of the sun when this shadow will cast is 34.99°

Answer:

(- 2, 2 )

Step-by-step explanation:

Given the 2 equations

y = x + 4 → (1)

y = - 2x - 2 → (2)

Substitute y = x + 4 into (2)

x + 4 = - 2x - 2 ( add 2x to both sides )

3x + 4 = - 2 ( subtract 4 from both sides )

3x = - 6 ( divide both sides by 3 )

x = - 2

Substitute x = - 2 into either of the 2 equations abd evaluate for y

Substituting into (1)

y = - 2 + 4 = 2

solution is (- 2, 2 )

Answer:

I'm going to say true because that's the most logical answer

Step-by-step explanation:

Answer:

The same amount

Step-by-step explanation:

Because its Borrowed money you cant just go around spending unlimited money with out paying the bank back it would not be fair.

Answer:

(4, 3 ) and (1.5, 8 )

Step-by-step explanation:

Given the 2 equations

2x + y = 11 → (1)

xy = 12 → (2)

Rearrange (1) expressing y in terms of x by subtracting 2x from both sides.

y = 11 - 2x → (3)

Substitute y = 11 - 2x into (2

x(11 - 2x) = 12 , that is

11x - 2x² = 12 ( subtract 12 from both sides )

11x - 2x² - 12 = 0

2x² - 11x + 12 = 0 ← in standard form

(x - 4)(2x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

2x - 3 = 0 ⇒ 2x = 3 ⇒ x = 1.5

Substitute these values into (3) for corresponding values of y

x = 4 : y = 11 - 2(4) = 11 - 8 = 3 ⇒ (4, 3 )

x = 1.5 : y = 11 - 2(1.5) = 11 - 3 = 8 ⇒ (1.5, 8 )

Answer:

Volume = 120 cubic cm

Step-by-step explanation:

We would apply the formula for determining the volume of a square bases pyramid which is expressed as

Volume = 1/3 x base area x height

From the diagram,

length of square base = 6 cm

The base area = 6^2 = 36

height = 10

Thus,

Volume = 1/3 x 3/6 x 10

Volume = 120 cubic cm

I hope this help you! :)

Answer:

$80 interest will be owed for 4 months

Step-by-step explanation:

P is the principal amount, $4000.00.

r is the interest rate, 8% per year, or in decimal form, 8/100=0.08.

t is the time involved, 3....month(s) time periods.

Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.

Do this by dividing your time, 3- month(s), by 12, since there's 12 months in 1 year.

So, t is 0.25....year time periods.

To find the simple interest, we multiply 4000 × 0.08 × 0.25 to get that

Answer:

17.8

Step-by-step explanation:

Using the SOH CAH TOA identity

Opposite = 16

Hypotenuse = QR = x

Angle of elevation = 64 degrees

Sin64 = opp/hyp

Sin 64 = 16/x

x = 16/sin64

x = 16/0.8898

x = 17.8

Hence QR is 17.8 to the  nearest tenth of a foot

Answer:

the answer will be 30...................

Answer:

$90.95

Hope this helps you! Also, here is a story to go along with my answer!

Once Upon A time there was a noble Knight, he wasn’t like any other Knight, he had powers, something much more than a sword and shield. He was part of a fairytail, which in this world is a association of wizards, or people who can use magic. As the noble night was walking around town, he noticed a figure far in the distance, of course he was a young, curious knight, so he decided to go explore the figure in the distance. As he walked upon the figure that wasn’t so far anymore he relized somethin, something so astonishing that he thought would never Be real, a castle full of treasures full of coins and gems. As he walked in to the castle, he wasnt aware f what would happen if he where to take the treasure, he made the best choice, not to satisfy his greed, and left the castle as it was when he found it before, promising himself not to tell anyone about what he witnessed that day.

Yours Truly, TheAnimeCatUwU

Answer:

Canada

Step-by-step explanation:

Multiply $1.50 by the amount of liters in a gallon 3.78541 and it is less than 6.20

Answer:

peter pays more money

Step-by-step explanatipeter is more

because 4 liters is a bit over a gallon and each liter is 1.50 so 1.50 x 4 is 6 dollars so peter pays more money

Answer:

your answer will be A.π(12.1)²

Step-by-step explanation:

hope it helps...

have a great day

Answer:

option A

is the correct answer of this question π(12.1)^2

hope it helps and your day will be full of happiness.

^_^

Answer:

b.(4,6/7)

Step-by-step explanation:

i hope i was able to help with the question

Answer:

i hope you understand this answer

[tex]3x : 8 = 9 : 2[/tex]

[tex] \frac{3x}{8} = \frac{9}{2} [/tex]

[tex]3x × 2 = 8 × 9[/tex]

[tex]3x = \frac{8 \times 9}{2} [/tex]

[tex]3x = 4 \times 9[/tex]

[tex]x = \frac{4 \times 9}{3} [/tex]

[tex]x = 4 \times 3[/tex]

[tex]x = 12[/tex]

Answer:

18.7

Step-by-step explanation:

just add them

Answer:

i think its f(x)=-2(x-2)(by the power of 2)-2

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

This is a piecewise function with a domain of (-4,5) and a range of [1,6]. (-4,5) means x can be between -4 and 5, but -4 and 5 can't be included (notated by the parentheses). [1,6] means y can be between 1 and 6 where 1 and 6 are both included in the range (notated by the brackets).

Answer:

Answer in explanation section

Step-by-step explanation:

8(2x-14)+13=4x-27.       Given

16x-112+13=4x-27.          Distributive property

16x-99=4x-27.                 Simplify

14x-99=-27.                      subtract

14x=72.                             Subtract

x=36/7.                              Divide to get x

Answer:

The value of x is 6

Step-by-step explanation:

- 3x + 12 = 2x - 18

12 + 18 = 2x + 3x

30 = 5x

5x = 30

x = 30 ÷ 5

x = 6

Thus, The value of x is 6

-TheUnknownScientist

Answer:

Point G and Point B

Step-by-step explanation:

The quadrant on the top right is quadrant 1 and the quadrant on the top left is quadrant 2. The quadrant on the bottom right is quadrant 4 and the quadrant on the bottom left is quadrant 3.

Answer:

The area of this shape is [tex]50cm^2[/tex].

Step-by-step explanation:

To find the area of this figure, you only need to know the area of the rectangle and the area of the triangle. The area of the rectangle would be 5 * 6 = [tex]30cm^2[/tex]. Since the length of the rectangle plus the base of the triangle is equivalent to 14, that means the base of the triangle is equal to 14 - 6 = 8 cm. The formula for the area of a triangle is [tex]\frac{1}{2} bh[/tex], the base you now know is 8 cm, and the height is 5 cm, which means the area of the triangle would be [tex]\frac{1}{2} *5*8[/tex] = [tex]\frac{1}{2} * 40[/tex] = [tex]20cm^2[/tex]. Add the area of the rectangle to the area of the triangle and you'll get the area of the entire shape, which is 30 + 20 = [tex]50cm^2[/tex].

Answer:

A) 744 inches

Step-by-step explanation:

24 x 31 = 744

Answer:

4) 10

5) 15

6) 20

7) 4

8) 27

equations used to solve:

4) 4x+50=90

5) (2x+60)+6x=180

6) 3x+30=90

7) (8x+120)+7x=180

8) 99+3x=180

Answer:

18.9

Step-by-step explanation:

perimeter of a trapezoid is base + base + side + side (p = a + b + c + d)

adding up each of the sides gives you 18.9