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Basile [38]
2 years ago
11

Clara and Toby are telemarketers.

Mathematics
1 answer:
Korolek [52]2 years ago
3 0

Answer:

Toby will reach more people in 40 phone calls

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What are the coordinates of the center of the ellipse shown below?
photoshop1234 [79]

Answer:

Option D (7, -3)

Step-by-step explanation:

We know that the general equation of an ellipse has the form:

\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1

Where the point (h, k) are the coordinates of the center of the ellipse

In this case the equation of the ellipse is:

\frac{(x-7)^2}{4} + \frac{(y+3)^2}{16} = 1

Then

h=7\\\\k = -3

So The coordinates of the center of the ellipse are (7, -3)

8 0
3 years ago
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A basketball court is in the shape of a rectangle. It has a length of (x - 7) meters and a width of (x + 3) meters:
Molodets [167]

Answer:

x2 - 4x - 21

Step-by-step explanation:

Area = (x -7 )(x +3)

= x*x - 7*x + x*3 - 7*3

=x2 - 4x - 21

5 0
3 years ago
antonio has a recipe for vegetable soup. He makes 1/2 the recipe. If the recipe calls for 3 2/3 cups of water, how much water sh
Sophie [7]
1 5/6 because you have to first find half of 3 which is 1 1/2 then you have to find half of 2/3 which is 1/3 then you have to find a common denominator then add. After that simplest form.
6 0
3 years ago
What is the percent increase in between 16 and 20
MrMuchimi
Your answer is 25% because a change from 16 to 20 represents a positive change (increase) of 25%
5 0
3 years ago
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The college that Dora attends is selling tickets to the annual
Ksenya-84 [330]

Answer:

The solution of the system of equations is (11, 12)

Step-by-step explanation:

∵ The price of each student ticket is $x

∵ The price of each adult ticket is $y

∵ They sold 3 student tickets and 3 adult tickets for a total  of $69

∴ 3x + 3y = 69 ⇒ (1)

∵ they sold 5  student tickets and 3 adults tickets for a total of $91

∴ 5x + 3y = 91 ⇒ (2)

Let us solve the system of equations using the elimination method

→ Subtract equation (1) from equation (2)

∵ (5x - 3x) + (3y - 3y) = (91 - 69)

∴ 2x + 0 = 22

∴ 2x = 22

→ Divide both sides by 2 to find x

∵ \frac{2x}{2}=\frac{22}{2}

∴ x = 11

→ Substitute the value of x in equation (1) or (2) to find y

∵ 3(11) + 3y = 69

∴ 33 + 3y = 69

→ Subtract 33 from both sides

∵ 33 - 33 + 3y = 69 - 33

∴ 3y = 36

→ Divide both sides by 3

∵ \frac{3y}{3}=\frac{36}{3}

∴ y = 12

∴ The solution of the system of equations is (11, 12)

5 0
2 years ago
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