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Oksanka [162]
3 years ago
8

Seven out of every 8 students surveyed owns a bike. The difference between the number of students who own a bike and those who d

o not is 72. How many students were surveyed?
Mathematics
1 answer:
Alona [7]3 years ago
7 0
7/8 owns bike
1/8 dont
difference is 6/8
6/8= 72
96 students were surveyed, if you solve that equation^
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5x+2y=9, and 5x+10y=75,
MatroZZZ [7]

Answer:

x = -1.5 y = 8.25

Step-by-step explanation:

5x + 2y - 5x - 10y = -66

8y = 66

y = 8.25

5x + 2(8.25) = 9

x = -1.5

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3 years ago
Simplify this radical.
Zielflug [23.3K]

Answer:

3\sqrt{10}

Step-by-step explanation:

Assuming you mean \sqrt{90}

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab} , then

\sqrt{90}

= \sqrt{9(10)}

= \sqrt{9 × \sqrt{10}

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3 years ago
The shoes are on sale for 39.99. If they were marked down 20%, what was the original price?
Damm [24]

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Step-by-step explanation:

8 0
2 years ago
Simplify: 3(2x-y)-(5x+4y-2) <br>Please show steps
il63 [147K]

Answer:

6 x ^2 − 5 x y − 4 y ^2

Step-by-step explanation:

Expand  

( 2 x + y ) (3 x − 4 y )

using the FOIL Method.

Apply the distributive property.

2 x ( 3 x − 4 y ) + y ( 3 x − 4 y )

Apply the distributive property.

2 x ( 3 x )+ 2 x (− 4 y ) + y ( 3x − 4 y )

Apply the distributive property.

2 x ( 3 x ) + 2 x( − 4 y ) + y ( 3 x) + y ( −4 y )

Simplify and combine like terms.

6 x ^2 − 5 x y − 4^ 2

7 0
3 years ago
Read 2 more answers
Carissa also has a sink that is shaped like a half sphere. The sink has a volume of 4000/ 3 * π in 3. One day, her sink clogged.
givi [52]

Answer:

Part a) 119 cups

Part b) 30 cups

Step-by-step explanation:

Part a)

step 1

Find the volume of the conical cup with a diameter of 4 in. and a height of 8 in

The volume of the cone (cup) is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=4/2=2\ in ----> the radius is half the diameter

h=8\ in

assume

\pi =3.14

substitute

V=\frac{1}{3}(3.14)(2^{2})8=33.49\ in^3

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

so

\frac{4,000}{33.49}= 119\ cups

Part b)

step 1

Find the volume of the conical cup with a diameter of 8 in. and a height of 8 in

The volume of the cone (cup) is equal to

V=\frac{1}{3}\pi r^{2}h

we have

r=8/2=4\ in ----> the radius is half the diameter

h=8\ in

assume

\pi =3.14

substitute

V=\frac{1}{3}(3.14)(4^{2})8=133.97\ in^3

step 2

Find out how many cups of water must Carissa scoop out of the sink

Divide the volume of the sink by the volume of the cup

so

\frac{4,000}{133.97}= 30\ cups

7 0
3 years ago
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