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Bingel [31]
3 years ago
11

Darius wants to purchase his favorite salad dressing. The salad dressing comes in two different size bottles. The 16 ounce bottl

e is on sale for $3.36. The 10 ounce bottle is priced at $2.30. Darius has a coupon for 40 cents off if you buy two 10 ounce bottles. Determine if Darius gets the better buy when he buys one 16 ounce bottle or when he buys two 10 ounce bottles. a. Darius will get the same deal on either purchase. b. Darius will get the better deal buying one 16 ounce bottle. c. Darius will get the better deal buying two 10 ounce bottles. d. Darius doesn’t need the coupon, he will get the best deal on one 10 ounce bottle.
Mathematics
2 answers:
Anna007 [38]3 years ago
8 0

Answer:

the answer is d

Step-by-step explanation:

i just took the test on edge

Darius wants to purchase his favorite salad dressing. The salad dressing comes in two different size bottles. The 16 ounce bottle is on sale for $3.36. The 10 ounce bottle is priced at $2.30. Darius has a coupon for 40 cents off if you buy two 10 ounce bottles. Determine if Darius gets the better buy when he buys one 16 ounce bottle or when he buys two 10 ounce bottles.

a.

Darius will get the same deal on either purchase.

b.

Darius will get the better deal buying one 16 ounce bottle.

c.

Darius will get the better deal buying two 10 ounce bottles.

d.

Darius doesn’t need the coupon, he will get the best deal on one 10 ounce bottle.

Leya [2.2K]3 years ago
7 0

<u>Answer:</u>

The correct answer option is b. Darius will get the better deal buying one 16 ounce bottle.

<u>Step-by-step explanation:</u>

We know that a 16 ounce bottle of the salad dressing is for $3.36 while a 10 ounce bottle is priced at $2.30.

Darius has a coupon for 40 cents off if he buys two 10 ounce bottles. We are to determine what is the better buy.

Price of one 16 ounce bottle = $3.36

Price of two 10 ounce bottles = (2.30 × 2) - 0.4 = $4.2

Therefore, Darius will get the better deal buying one 16 ounce bottle.

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3 years ago
Maci and I are making a small kite. Two sides are 10". Two sides are 5". The shorter diagonal is 6". Round all your answers to t
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Answer:

A. 4".

B. Approximately 9.54".

C. Approximately 13.54".

Step-by-step explanation:

Please find the attachment.

Let x be the distance from the peak of the kite to the intersection of the diagonals and y be the distance from the peak of the kite to the intersection of the diagonals.

We have been given that two sides of a kite are 10 inches and two sides are 5 inches. The shorter diagonal is 6 inches.

A. Since we know that the diagonals of a kite are perpendicular and one diagonal (the main diagonal) is the perpendicular bisector of the shorter diagonal.

We can see from our attachment that point O is the intersection of both diagonals. In triangle AOD the side length AD will be hypotenuse and side length DO will be one leg.

We can find the value of x using Pythagorean theorem as:

(AO)^2=(AD)^2-(DO)^2

x^{2}=5^2-3^2

x^{2}=25-9

x^{2}=16

Upon taking square root of both sides of our equation we will get,

x=\sqrt{16}

x=\pm 4

Since distance can not be negative, therefore, the distance from the peak of the kite to the intersection of the diagonals is 4 inches.

B. We can see from our attachment that point O is the intersection of both diagonals. In triangle DOC the side length DC will be hypotenuse and side length DO will be one leg.

We can find the value of y using Pythagorean theorem as:

(OC)^2=(DC)^2-(DO)^2

Upon substituting our given values we will get,

y^2=10^2-3^2

y^2=100-9

y^2=91

Upon taking square root of both sides of our equation we will get,

y=\sqrt{91}

y\pm 9.539392

y\pm\approx 9.54

Since distance can not be negative, therefore, the distance from intersection of the diagonals to the top of the tail is approximately 9.54 inches.

C. We can see from our diagram that the length of longer diagram will be the sum of x and y.

\text{The length of the longer diagonal}=x+y

\text{The length of the longer diagonal}=4+9.54

\text{The length of the longer diagonal}=13.54

Therefore, the length of longer diagonal is approximately 13.54 inches.

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3 years ago
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Step-by-step explanation:

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3 years ago
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3 years ago
Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.
larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

<u>Step-by-step explanation:</u>

Given expression:

    f(x)=x^{2}-8 x+24

To find:

  The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

  y=a x^{2}+b x+c

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is x=\frac{-b}{2 a}

By applying the values, the axis of symmetry of given equation is

     x=\frac{-(-8)}{2(1)}=4

The vertex form of quadratic equation is f(x)=a(x-h)^{2}+k

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

f(x)=x^{2}-8 x+24

f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24

f(x)=(x-4)^{2}+8

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

4 0
3 years ago
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