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2 years ago

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6 members of the Benton family are going to their school's Community Day. They have a coupon for $4.50 off their total. If they

pay $40.50 for all their tickets, how much does one ticket cost without the coupon?

1 answer:

d1i1m1o1n [39]2 years ago

5 0

Answer:

$7.50

Step-by-step explanation:

you add 40.50 + 4.50 which then equals 45 and you divide that by 6 and you get 7.50

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Madeline needs to find the slope of the line that passes through the points (9, 12) and (7, 4). She sets up the following work:

Over [174]

Answer:

No

Step-by-step explanation:

She has everything correct but one thing. In order to have her answer correct, she must put the 9 in front of the 7 because the bigger number needs to go in front.

4 0

2 years ago

Find the midpoint of a segment whose endpoints are (9, –7) and (–3, 5).

suter [353]

For this question, you would have to use the midpoint formula.
(X1 +X2 / 2 , Y1 + Y2 / 2)

In other words,
(9 + -3 / 2 , -7 +5 / 2)
(6 / 2 , -2 / 2)
(3 , -1)

Your midpoint is (3, -1)

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2 years ago

A rope of length 18 feet is arranged in the shape of a sector of a circle with central angle O radians, as shown in the

creativ13 [48]

Answer:

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Let

r ---> the radius of the sector

s ---> the arc length of sector

Find the radius r

we know that

$2r+s=18$

$s=r \theta$

$2r+r \theta=18$

solve for r

$r=\frac{18}{2+\theta}$

step 2

Find the value of s

$s=r \theta$

substitute the value of r

$s=\frac{18}{2+\theta}\theta$

step 3

we know that

The area of complete circle is equal to

$A=\pi r^{2}$

The complete circle subtends a central angle of 2π radians

so

using proportion find the area of the sector by a central angle of angle theta

Let

A ---> the area of sector with central angle theta

$\frac{\pi r^{2} }{2\pi}=\frac{A}{\theta} \\\\A=\frac{r^2\theta}{2}$

substitute the value of r

$A=\frac{(\frac{18}{2+\theta})^2\theta}{2}$

$A=\frac{162 \theta}{(\theta+2)^2}$

Convert to function notation

$A(\theta)=\frac{162 \theta}{(\theta+2)^2}$

6 0

3 years ago

Box A has a volume of 12 cubic meters. Box B is similar to box A. To create Box B, Box A's dimensions were multiplied by five. W

postnew [5]

Volume of B is 125×12=1500

4 0

2 years ago

Read 2 more answers

What is the volume of the composite figure below? (formula for volume of a prism is 1/3 Bh where B is the area of the base.)

arsen [322]

Answer:

Last Option; 84 cu. mm

Step-by-step explanation:

We know that;

Volume = 1/3(Bh)

And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36

And height = 7mm

Therefore we can say;

Volume = (1/3)*(6 x 6)*(7)

Volume = (1/3)*(36)*(7)

Volume = (12)*(7)

<u>Volume = 84</u>

Hope this helps!

6 0

2 years ago