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3 years ago

9

The ratio of the number of students to the number of teachers in a school is 17:5. If there are 35 teachers in a school, how man

y students are there in the school.

1 answer:

kompoz [17]3 years ago

4 0

Answer:

75 students

Step-by-step explanation:

You might be interested in

Which of the following best explains why tan5π/6 ≠ tan5π/3

Kobotan [32]

Answer:

The angles do not have the same reference angle.

Step-by-step explanation:

1) Angle 5π / 3 radians:

Convert radians to degrees: 5π/3 × 180° / π = 300°

300° is in the fourth quadrant

The reference angle for angles in the fourth quadrant is 360° - angle ⇒ 360° - 300° = 60°.

∴ The reference angle for this angle is 60°.

2) Angle 5π / 6 radians:

Convert radians to degrees: 5π/6 × 180° / π = 150°

150° is in the second quadrant

The reference angle for angles in the second quadrant is 180° - angle ⇒ 180° - 150° = 30°.

∴ The reference angle for this angle is 30°.

3) Conclusion:

Since the reference angles are different, the tangent ratios have different values.

tan (5π/3) = - tan(60°) = - √3

tan (5π/6) = - tan(30°) = - (√3)/3

Note that the tangent is negative in both second and fourth quadrants.

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3 0

3 years ago

poizon [28]

Answer:

4:3

Step-by-step explanation:

24/8=3 there are 3 blue beads to __ purple beads

32/8=4 there are __ blue beads to 4 purple beads

there are 3 blue beads to 4 purple beads

3 0

3 years ago

Which is the equation of a hyperbola with directrices at x = ±3 and foci at (4, 0) and (−4, 0)?

Alex Ar [27]

Answer:

$\frac{x^2}{12}-\frac{y^2}{4}=1$

Step-by-step explanation:

Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:

<u>Formula for hyperbola with horizontal transverse axis centered at origin</u>

<u /> $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$
Directrices -> $x=\pm\frac{a^2}{c}$
Foci -> $(\pm c,0)$ where $a^2+b^2=c^2$
$a>b$

Since we are given our directrices of $x=\pm3$ and foci of $(\pm4,0)$ , then we can set up the directrices equation to solve for $a^2$ :

$x=\pm\frac{a^2}{c}\\ \\\pm3=\pm\frac{a^2}{4}\\ \\12=a^2$

Now we can determine $b^2$ to complete our equation for the hyperbola:

$a^2+b^2=c^2\\\\12+b^2=4^2\\\\12+b^2=16\\\\b^2=4$

Therefore, our equation for our hyperbola is $\frac{x^2}{12}-\frac{y^2}{4}=1$

5 0

2 years ago

In the chemistry lab an experiment requires 599 mL of one ingredient to be mixed with 1000 mL of another. How many ounces is the

raketka [301]

Answer:

50.7202

Step-by-step explanation:

(500ml+1000ml) / (29.574 ml per ounce) = 50.72 US Fluid Ounces

3 0

2 years ago

For the function f(x)=|x−7|−4, evaluate f(x+1).

GarryVolchara [31]

Answer:

$\displaystyle{f(x+1)=|x-6|-4}$

Step-by-step explanation:

To evaluate $\displaystyle{f(x+1)}$ , substitute $\displaystyle{x}$ to $\displaystyle{x+1}$ so we should have:

$\displaystyle{f(x+1) = |x+1-7|-4}$

Evaluate the expression and finally, we have:

$\displaystyle{f(x+1)=|x-6|-4}$

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2 years ago