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2 years ago

Out of 1,200 students surveyed, 92% of them like country music. How many students like rap music?

Mathematics

2 answers:

ANTONII [103]2 years ago

3 0

Answer:

Step-by-step explanation:

1200*92=110400/100=1104

1200-1104=96

ioda2 years ago

3 0

Answer:

1152 students like rap just take the numbers n divide

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The distance between capeton & Jonesville is 80 miles. The scale on the map is 0.75 in 10 Mi how far part are the cities on

ikadub [295]

Answer:

6 in = 80 miles

Step-by-step explanation:

Given that:

Distance between Capeton and Jonesville = 80 miles.

Map scale : 0.75 in = 10 miles ; this means 0.75 inches on the map represents 10 miles on land.

Hence, If ;

0.75 inches = 10 miles

x inches = 80 miles

Cross multiply :

10 * x = 80 * 0.75

10x = 60

10x / 10 = 60 / 10

x = 6 inches

Hence,

6 in = 80 miles

4 0

3 years ago

The speed of a boat in still water is 40 mph. If it takes the same time for the boat to travel 8 miles upstream as it does to tr

antoniya [11.8K]

Answer:

Current speed is 40mph

Step-by-step explanation:

We firstly need to know what is intended by upstream and downstream. When the boat travels in the direction of the current (horizontal movement of the water), we say it is moving downstream otherwise it is moving upstream.

Let's assume the speed of the boat is A and that of the current is B, then the speed when it moves dowstream would be A + B and the speed if it moves upstream would be A – B.

In this question, we know that the speed of the boat is 40mph. Given that it takes the same time to travel 8miles upstream as it does to travel 24miles downstream, we have

Speed upstream = 8/t

Speed downstream = 24/t

Respectively.

Let speed of current be X, then

Speed downstream = 40 + X

Speed upstream = 40 – X

From the question we have:

(40 + x)/24 = (40 – X)/8

(40 + x)/3 = (40 – x)/1

3(40 – x) = 40 + X

120 – 3x = 40 – X

120 – 40 = 3x – X

2x = 80

X = 40.

Therefore, current speed is 40mph

5 0

3 years ago

How do i find the vertex from x intercept form

hjlf

You'll have to convert the equation from x-int to standard form (ax² + by + c), and then convert it to vertex form (y = a(x - h)² + k)

3 0

3 years ago

Which exponential equation is equivalent to this logarithmic equation?

salantis [7]

Answer:

the answer is A

Step-by-step explanation:

$log_{x}(5 \times 12 ) = 7 \\ \: then \: log_{x}(60) = 7 \\ \: then \: {x}^{ log_{x}(60) } = {x}^{7} \\ {x}^{7} = 60$

6 0

3 years ago

**PLEASE HELP ASAP** Betsy is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

Nina [5.8K]

We analyze the chart and observe that the linear function is $y=x$ , since this relation holds for all values in the table. Drawing this line over the quadratic function shows that they intersect twice, at both the positive and negative x-coordinates.

This is by far the easiest way to solve this problem, but if you're interested in learning how to do it algebraically, read on! To prove this more rigorously, we can find that the equation of the parabola is $y=\frac13 x^2 - 2.$ Substituting in $y=x$ , we find that the intersection points occur where $\frac13 x^2 - 2 = x$ , or $\frac13 x^2 - x - 2 = 0,$ or $x^2 - 3x - 6 = 0.$

This equation doesn't factor nicely, so we use the quadratic formula to learn that $x = \frac{3 \pm \sqrt{3^2 - 4 \cdot 1 \cdot (-6)}}{2} = \frac{3 \pm \sqrt{33}}{2}.$ Hence, the x-coordinates of the intersection points are $\frac{3 + \sqrt{33}}{2}$ , which is positive, and $\frac{3 - \sqrt{33}}{2}$ , which is negative. This proves that there are intersection points on both ends of the axis.

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3 years ago