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V125BC [204]
3 years ago
6

A science class has 9 girls and l boy in the seventh grade and 3 girls and 9 boys in the eighth grade. The teacher randomly sele

cts a seventh grader and an
elghth grader from the class for a competition. What is the probability that the students she selects are both boys?
Write your answer as a fraction in simplest form.
m
Mathematics
1 answer:
RSB [31]3 years ago
7 0

Answer:

boys = 9 ( eighth grade ) + 1 ( seventh grade) = 10 boys

girls = 3 (eight grade) + 9 ( seventh grade) = 12

probability = 22÷ 2

= 1/11

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neonofarm [45]

Answer:

12.B

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4 0
3 years ago
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An alloy is composed of nickel, zinc, and copper in a 7:2:9 ratio. How many kilograms of each metal is needed to make 3.8 kg of
Tamiku [17]
Ni : Zn: Cu = 7:2:9 =7x : 2x : 9x

7x+2x+9x = 3.8
18x=3.8
x=3.8/18=1.9/9≈0.21

Ni:   7x=7*0.21=1.47 ≈1.5 kg
Zn:  2x=2*0.21=0.42≈0.4 kg
Cu: 9x=9*0.21=1.89 ≈1.9 kg

Check 1.5+0.4+1.9 =3.8 True
6 0
3 years ago
Ayo can someone help me with this real quick
solniwko [45]

Answer:

r = 8

Step-by-step explanation:

6r = 95-47

6r = 48

r = 48/6

r = 8

5 0
2 years ago
Flying against the wind, an airplane travels 7520 kilometers in 8 hours. Flying with the wind, the same plane travels 6500 kilom
bezimeni [28]

Answer:

Rate of plane in still air = 1120 km/h

Rate of wind = 180 km/h

Step-by-step explanation:

Let the rate (speed) of the plane in still air = u km/h

Let the rate (speed) of the wind = v km/h

Formula for speed is:

Speed = \dfrac{Distance}{Time}

Given that against the wind, airplane travels 7520 km in 8 hours.

The speed against the wind will be slower so,

Against the wind, speed = (u -v ) km/h

Using above formula:

(u-v) = \dfrac{7520}{8} km/h\\(u-v) = 940 km/h ..... (1)

Given that with the wind, airplane travels 6500 km in 5 hours.

The speed with the wind will be faster so,

With the wind, speed = (u +v ) km/h

Using above formula:

(u+v) = \dfrac{6520}{5} km/h\\(u+v) = 1300 km/h ..... (2)

Adding (1) and (2) to solve for u and v:

2u = 2240\\\Rightarrow u = 1120\ km/h

Putting u in (1):

1120-u=940\\\Rightarrow u = 180\ km/h

So, the answers are:

<em>Rate of plane in still air = 1120 km/h</em>

<em>Rate of wind = 180 km/h</em>

<em></em>

6 0
3 years ago
23 is 12% of what number
Anon25 [30]
\frac { 12 }{ 100 } \cdot x=23\\ \\ \Rightarrow \quad \frac { 3 }{ 25 } \cdot x=23\\ \\ \Rightarrow \quad \frac { 25 }{ 3 } \cdot \frac { 3 }{ 25 } \cdot x=23\cdot \frac { 25 }{ 3 } \\ \\ \Rightarrow \quad x=\frac { \left( 20+3 \right) \left( 25 \right)  }{ 3 } \\ \\ \Rightarrow \quad x=\frac { 500+75 }{ 3 } \\ \\ \Rightarrow \quad x=\frac { 575 }{ 3 }
8 0
3 years ago
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