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wel
3 years ago
13

Cindy spent $15.25 on ingredients for a blueberry pie and $12.84 on ingredients for a cherry pie. Each slice of pie sells for $3

.50. Part A Which expression represents Cindy's profit if she sells b slices of blueberry pie and c slices of cherry pie? A. 28.09(b + c) – 3.50 B. 3.5(b + c) – 28.09 C. 3.5b – 28.09c D. 28.09b + 3.25c Part B Cindy sells 24 slices of blueberry pie and 15 slices of cherry pie. What was her profit? A. $28.09 B. $55.91 C. $108.41 D. $136.50
Mathematics
1 answer:
raketka [301]3 years ago
4 0

Answer:

B. 3.5( b + c ) - 28.09

C. $108.41

Step-by-step explanation:

The best expression to use to find the total profit of Cindy's pie is 3.5(b+c) - 28.09. The total profit is the total revenue - total cost.

To put it into perspective, let's try an example.

b = 5

c = 12

Total profit = 3.5(b + c) - 28.09

                  = 3.5 (5 + 12) - 28.09

                  = 3.5 (17) - 28.09

                  = 59.5 - 28.09

Total profit = $31.41

Now for part B, we simply use the expression and substitute the values.

b = 24

c = 15

Total profit = 3.5(b + c) - 28.09

                  = 3.5(24 + 15) - 28.09

                  = 3.5(39) - 28.09

                  = 136.5 - 28.09

Total profit = $108.41

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Evaluate each expression for g = -7 and h = 3 and match it to its value.
Arturiano [62]

Answer:

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

Step-by-step explanation:

Given values of g and h are:

g = -7

h = 3

<u>1. gh</u>

The two numbers are being multiplied

Putting the values

gh = (-7)(3) = -21

<u>2. g^2-h</u>

Putting the values

=(-7)^2-3\\=49-3\\=46

<u>3. g+h^2</u>

Putting the values

= -7 + (3)^2\\=-7+9\\=2

<u>4. g+h</u>

Putting the values

= -7+3\\=-4

<u>5. h-g</u>

Putting the values

= 3 - (-7)\\=3+7\\=10

<u>6. g-h</u>

Putting values

=-7-3\\=-10

Hence,

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

4 0
3 years ago
Read 2 more answers
The vertex of the parabola below is at the point (2, 4), and the point (3, 6) is on the parabola. what is the equation of the pa
Paraphin [41]

Given:

Vertex ===> (h, k) (2, 4)

The parabola passes through the point: (x, y) ==> (3, 6)

Let's find the equation of a parabola.

To find the equation, use the general equation of a parabola with vertex (h, k):

y=a(x-h)^2+k_{}

Where:

(h, k) ==> (2, 4)

(x, y) ==> (3, 6)

Substitute values into the general equation:

\begin{gathered} 6=a(3-2)^2+4 \\  \\ 6=a(1)^2+4 \\  \\ 6=a+4 \end{gathered}

Subtract 4 from both sides:

\begin{gathered} 6-4=a+4-4 \\  \\ 2=a \\  \\ a=2 \end{gathered}

Substitute 2 for a, and input the values of the vertex (h, k) in the general vertex equation:

y=2(x-2)^2+4

Therefore, the equation of the parabola is:

y=2(x-2)^2+4

ANSWER:

y=2(x-2)^2+4

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1 year ago
The length of a rectangle is 4 cm more than the width and the perimeter is at least 34 cm
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Answer:

1. SSS

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Step-by-step explanation:

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Triangles NLM and WUV are similar by SSS similarity, because

\dfrac{NL}{WU}=\dfrac{36}{63}=\dfrac{4}{7}\\ \\\dfrac{LM}{UV}=\dfrac{40}{70}=\dfrac{4}{7}\\ \\\dfrac{NM}{WV}=\dfrac{24}{42}=\dfrac{4}{7}

2. Completed steps:

a) draw a circle with center at P and radius r

b) draw a circle with center at Q and radius r

c) using compass, measure the distance between two points of intersection of the first circle with angle rays

d) using point of intersection of the second circle with PQ as a center, draw the circle of radius equal to the distance from c) to get point S

Last step: connect points Q and S, line QS will be parallel to line r.

3. If lines MN and UT are parallel, then angles MUT and VMN are congruent; also angles UTN and MNV are congruent.

AA similarity: In two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar .

By AA similarity, triangles VMN and VUT are similar, thus

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