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Kazeer [188]
3 years ago
7

Tickets for a school event were $2.75 for students and $3.25 for parents. If a total of 67 tickets were sold for

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
8 0

Answer:

Parents = 36

Sudents = 31

Step-by-step explanation:

x + y = 67............ (1)

x = 67 - y

2.75x + 3.25y = 202.25

2.75 (67-y) + 3.25y = 202.25

184.25 - 2 75y + 3.25y = 202.25

0.5y = 18

y = 36

From (1)

x + 36 = 67

x = 67-36 = 31

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The radius of a softball is 3.75 cm, and the radius of a table tennis ball is 2 cm. The volume of the softball is how many times
Natali5045456 [20]

Answer:

The volume of the softball is  6.6 times the volume of the tennis ball

Step-by-step explanation:

we know that

The volume of a sphere is equal to

V=\frac{4}{3}\pi r^{3}

step 1

Find the volume of the softball

we have

r=3.75\ cm

substitute

V=\frac{4}{3}(3.14)(3.75)^{3}=220.8\ cm^{3}

step 2

Find the volume of the tennis ball

we have

r=2\ cm

substitute

V=\frac{4}{3}(3.14)(2)^{3}=33.5\ cm^{3}

step 3

Divide the volume of the softball by the volume of the tennis ball

220.8\ cm^{3}/33.5\ cm^{3}=6.6

therefore

The volume of the softball is  6.6 times the volume of the tennis ball

<em>Alternative Method</em>

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

The scale factor is equal to the ratio of its radius

\frac{3.75}{2}=1.875

therefore

The scale factor elevated to the cube is

1.875^{3}=6.6

therefore

The volume of the softball is  6.6 times the volume of the tennis ball

5 0
3 years ago
Graph the function y = 15x – 31 + 1
marysya [2.9K]

Answer:

Step-by-step explanation:

Hi there!

The answer is at the attachment.

Have a nice day.

4 0
3 years ago
Find the upper limit for the zeros of the function P(x)=4x^4+8x^3-7x^2-21x-9
pishuonlain [190]

Answer:

OPTION B - 2

Step-by-step explanation:

What is the upper limit for the zeros of the function P(x) = 4x^4 + 8x^3 - 7x^2 - 21x - 9. Ans: 2 is an upper limit. Use synthetic division. and the remainder are all positive, 2 is an upper limit.

3 0
3 years ago
Mr kirk has 6 boxes of 20 oranges how many does she have in total
Semmy [17]

Answer:

120

Step-by-step explanation:

6 x 20 = 120

5 0
3 years ago
Parallelogram P was dilated to form parallelogram P.
Olenka [21]

Answer:

x=1

Step-by-step explanation:

Given:

Parallelogram P is dilated to form parallelogram P'.

The side of P which is = 10 units corresponds 20 units in P'.

The side of P which is given as =(x+3)  units corresponds 8 units in P'.

To find the value of x.

Solution:

The scalar factor of dilation from P to P' can be given as the ratio of the corresponding sides of the parallelograms.

The scalar factor :

⇒ \frac{\textrm{Side on parallelogram P'}}{\textrm{Side on parallelogram P}}

⇒ \frac{20}{10}

⇒ 2

This means the sides of the parallelogram P' is twice the sides of the parallelogram P.

The side of P which is given as =(x+3)  units corresponds 8 units in P'.

Using the scalar factor the equation to solve for x can be given as:

⇒ 2(x+3)=8

Solving for x.

Using distribution:

⇒ 2x+6=8

Subtracting both sides by 6.

⇒ 2x+6-6=8-6

⇒ 2x=2

Dividing both sides by 2.

⇒ \frac{2x}{2}=\frac{2}{2}

∴ x=1  (Answer)

3 0
3 years ago
Read 2 more answers
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