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creativ13 [48]
3 years ago
9

the dance team is selling shirts for 12$ each. the dance team made a total of 288$ with all of the tshirts they sold, which equa

tion shows how many t shirts they sold?
Mathematics
1 answer:
vivado [14]3 years ago
8 0

Answer:

24

Step-by-step explanation:

Divide 288 by 12

= 24

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The total bill for the drinks and pizza comes out to be $17.28. How much should each person pay if they are to share the total b
sleet_krkn [62]

Answer:

5.76

Step-by-step explanation:

17.28/3

5 0
2 years ago
Read 2 more answers
A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station. Find the ra
Anika [276]

Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

z=1

\frac{dx}{dt}=430

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

y=2

According to Pythagoras

hypotenuse^2=base^2+perpendicular^2

y^2=x^2+1^2

y^2=x^2+1               .... (1)

Put z=1 and y=2, to find the value of x.

2^2=x^2+1^2

4=x^2+1

4-1=x^2

3=x^2

Taking square root both sides.

\sqrt{3}=x

Differentiate equation (1) with respect to t.

2y\frac{dy}{dt}=2x\frac{dx}{dt}+0

Divide both sides by 2.

y\frac{dy}{dt}=x\frac{dx}{dt}

Put x=\sqrt{3}, y=2, \frac{dx}{dt}=430 in the above equation.

2\frac{dy}{dt}=\sqrt{3}(430)

Divide both sides by 2.

\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}

\frac{dy}{dt}=372.390923627

\frac{dy}{dt}\approx 372

Therefore the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

6 0
3 years ago
Write an equation in point-slope for, for the line through the given spot (4, -6); m = 3/5
oee [108]

The point-slope form:

y-y_1=m(x-x_1)

We have the point (4, -6) and the slope m = 3/5. Substitute:

y-(-6)=\dfrac{3}{5}(x-4)\\\\\boxed{y+6=\dfrac{3}{5}(x-4)}

3 0
2 years ago
Please help. Thank you in advance.
ivolga24 [154]

Answer:

The second choice is the same so it is the last one

7 0
2 years ago
The diagram shows 3 identical circles inside a rectangle.
Ilya [14]

Answer:

11700 mm²

Step-by-step explanation:

A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.

The horizontal distance of the rectangle = r + r + r + r = 4r

The vertical distance = r + h + r = 2r + h

Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.

Using Pythagoras:

 (2r)² = h² + r²

h² + r² = 4r²

h² = 3r²

h = √3r²

h = r√3

Vertical distance = 2r + h = 2r + r√3

Area of rectangle = vertical distance * horizontal distance

Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)

Substituting:

Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²

Area = 11700 mm² to 3 s.f

5 0
2 years ago
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