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3 years ago

one eighth of the brass instruments are tubas. if there are 240 instruments in the band, how many are tubas?

Mathematics

1 answer:

Andrej [43]3 years ago

6 0

Just do 240 times 1/8 which is the same thing as 240/8, which is 30

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2. Define any variables and tell the slope and y-intercept of the situation. Then, write an equation to represent

Otrada [13]

Answer:

x=number of hours

c(x)= 25x+75

y-intercept= (0, 75)

Equation= y=25x+75

Slope= 25

Step-by-step explanation:

75 would be the y intercept(constant) because that's the initial charge for a call.

25 would be the coefficient for x because the hour you spend on the call varies.

The slope is how steep the line is, in this case it is 25.

x is the number of hours because that is the time that varies.

3 0

3 years ago

If a=2b^3 and b= -1/2c ^-2,express a in terms of c.

ElenaW [278]

Answer:

Part 1) $a=-\frac{1}{4c^6}$

Part 2) $a=-\frac{1}{4c^{-6}}$

Step-by-step explanation:

Part 1) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2}c^{-2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{1}{2}c^{-2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{1}{2}c^{-2})^{3}=2(-\frac{1}{2})^3(c^{-2})^{3}=2(-\frac{1}{8})(c^{-6})=-\frac{1}{4c^6}$

therefore

$a=-\frac{1}{4c^6}$

Part 2) we have

$a=2b^{3}$ ----> equation A

$b=-\frac{1}{2c^{-2}}=-\frac{c^{2}}{2}$ ----> equation B

substitute equation B in equation A

$a=2(-\frac{c^{2}}{2})^{3}$

Applying property of exponents

$(x^{m})^{n}=x^{m*n}$

$x^{-m} =\frac{1}{x^{m}}$

$a=2(-\frac{c^{2}}{2})^{3}=2(-\frac{c^{6}}{8})$

simplify

$a=-\frac{c^{6}}{4}$

therefore

$a=-\frac{1}{4c^{-6}}$

6 0

3 years ago

Find two positive numbers whose difference is 17 and whose product is 1410

Dafna11 [192]

Answer:

30 and 47

their difference is 17 and when multiplied equal 1410

4 0

3 years ago

How would you do this problem?

sweet [91]

F(x)=-5t^2+20t+60
Divide everything by -5
f(x)=t^2-4t-12
(t-6)(t+2)
Set it up to zero
t-6=0. t+2=0
t=6. t=-2
Since you can’t have negative seconds, the answer is 6 seconds

3 0

3 years ago

Read 2 more answers

a sprinter increases the speed from 0 meters per second to 9 meters per second in 2 seconds. what is the acceleration

mote1985 [20]

Answer:

The acceleration is

$4.5 {ms}^{ - 2}$

Step-by-step explanation:

Use the equation of motion,

$v = u + at$

where u=0m/s is the initial speed, v=9m/s is the final speed and t=2 seconds is the time.

We substitute the values into the equation and solve for the acceleration, a

$9 = 0 + a(2)$

This means that;

$9 = 2a$

Divide both sides by 2 to get:

$a = \frac{9}{2}$

$a = 4.5 {ms}^{ - 2}$

4 0

3 years ago