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Answer in detail
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Answer:

Step-by-step explanation:

Student : teacher = 5 : 2

Number of students = 5x

Number of teachers = 2x

Last year:

Last year Total  = 56

5x+  2x = 56

       7x = 56

        x = 56/7

x = 8

Number of students = 5*8 = 40

Number of teachers = 2*8 = 16

This year:Total = 70

5x + 2x = 70

       7x = 70

        x = 70/7

x = 10

Number of students = 5*10 = 50

Number of teachers = 2*10 = 20

Answer:

f

Step-by-step explanation:

fsdsdsdwdd

Answer:

A=2πrh+2πr2=2·π·13.8·10.1+2·π·13.82≈2072.32018

Step-by-step explanation:

Answer:

A. 3m² + 4m + 1 = 0

3m² + 3m + m + 1 = 0

3m (m + 1) + 1 (m + 1) = 0

( 3m + 1 ) (m + 1) = 0

B. 16n - 25

16n = 25

n = 25/16

Answer:

c

Step-by-step explanation:

took the test

Answer:

Option C is the correct answer

[tex] x = 34 \\y=17\sqrt3[/tex]

Step-by-step explanation:

[tex] \sin \: 30 \degree = \frac{17}{x} \\ \\ \frac{1}{2} = \frac{17}{x} \\ \\ x = 17 \times 2 \\ \\ x = 34 \\ \\ \tan \: 30 \degree = \frac{17}{y} \\ \\ \frac{1}{ \sqrt{3} } = \frac{17}{y} \\ \\ y = 17 \sqrt{3} [/tex]

Answer:

12 deg

Step-by-step explanation:

The change in temperature is the new temperature minus the old temperature.

0 deg - (-12 deg) = 0 deg + 12 deg = 12 deg

The change in 12 deg.

Answer:

The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones, ...

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Use the reverse form of the pythagorean theorem.

c^2 - b^2 = a^2

25 - 16 = 9

square root of 9 is 3

Given:

The figure of a right angle triangle.

To find:

The value of x.

Solution:

In a right angle triangle,

[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]

Using this formula in the given triangle, we get

[tex]\tan (31^\circ)=\dfrac{x}{33}[/tex]

[tex]0.60086=\dfrac{x}{33}[/tex]

[tex]0.60086\times 33=x[/tex]

[tex]19.82838=x[/tex]

[tex]x\approx 19.83[/tex]

Therefore, the value of x is about 19.83 units.

Answer:

e = 5

Step-by-step explanation:

Answer:

200 cm (or 2 meters) or 80% of the original 250 cm is left.  let me know if you have any questions.  

Step-by-step explanation:

I'm not sure if that's asking for an exact amount or percent, so I will do both.

The trick either way is to match units.  we have meters and centimeters.  You could make either one match the other.  so 2.5 m is 250 cm and 50 cm is .5 m.

You do have to know how many centimeters is in a meter, but once you know that you can set up unit conversions, which are super simple.

there are 100 cm in a m.  a unit conversion is basically a fraction that cancels out units.  starting with 2.5 m we want to cancel out m so the fraction we use has the m part in the denominator.  so 2.5m * (100 cm)/(1 m).  (100 cm)/(1 m) is the unit conversion, and just like variables the m in the denominator cancles out the m in the starting value so it turns into 2.5 * 100 cm/1 = 250 cm.

similarly to go from 50 cm to meters you make the unit conversion have cm in the denominator.  so 50 cm * (1 m)/(100 cm) = .5 m.  again, the cm int he denominator cancels out the cm in the unit being multiplied.  Let me knwo if this is still not clear.

Anyway, now we have the numbers we need.  let's make them all cm, I think using the smallest unit is usually easiest.  so that's 250 cm total and 50 cm used.

In pure numbers, that means 200 cm is left (which is 2 meters) after 50 cm gets used.

percents is a little trickier.  if 250 is 100% then 50 is 20%, which you can get by doing 50/250.  if you do not know, a fraction a/b gives you the percent a is of b.  Or rather it gives you a decimal, and if you multiply it by 100 it gives you the percent.

anyway, if 20% is used then 80% is left.  if you did 200/250 you would get that.

The size of angle x is 115.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

From the figure,

The whole complete angle is 360.

This means,

164 + 81 + x = 360

Solve for x.

164 + 81 + x = 360

245 + x = 360

x = 360 - 245

x = 115

Therefore,

The size of angle x is 115.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

The answer of this question is $68.

it is 5

Step-by-step explanation:

Answer:

50.24

Step-by-step explanation:

A= pi r^2

A= 3.14 * 4^2

A= 3.14 * 16

A= 50.24

Answer:

-6x+20

Step-by-step explanation:

Answer:

7008007638496700

Step-by-step explanation:

if you are rounding near the nearest 100th then it would be 7008007638496700

Answer:

no

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

There is no graph but the graph that would have a straight line

Answer:

Whichever line is straight and does not have x repeat itself is considered linear.

Step-by-step explanation:

A linear function can be shown by using the equation y=mx+b, in which m is the slope and b is the y-intercept. A linear function must be able to follow this formula in order to be considered linear. An exponential equation, quadratic equation, or other equation will not work.

Chances are, if the line is straight and the points plotted can be connected within a straight line and not overlap, they are a linear function.

[A function being an equation in which x does not repeat itself, therefore a vertical line up and down is not considered a linear function, however, a horizontal line is.]

Answer:  30 in²

Step-by-step explanation:

Area = base x height

A = 6 in x 5 in

A = 30 in²

Answer:

x<1.5

explanation: move 4 to other side subtract it with 26.5 then divide it by 15

Answer:.

.

Step-by-step explanation:

[tex]\frac{2}{4} =\frac{1}{2}[/tex]

[tex]\frac{1}{2}[/tex]×[tex](17+4)[/tex]

[tex]\frac{1}{2}[/tex]×21[tex]=10.5[/tex]

Hope this helped.

Answer:

6,000

Step-by-step explanation:

It's correct trust me

Answer: The answer is the milky way galaxy.

Step-by-step explanation: It is that answer because nothing is brighter than it.

Answer:

The Milky Way galaxy

Step-by-step explanation:

Answer:

Step-by-step explanation:

Typically in a line the y intercept is the point where your graph crosses the y-axis, and the x value is 0 so (0,b) is the y-intercept where y-intercept is b

The slope can be found by finding the rate of change, so the change in y / the change in x

You can also calculate the slope with 2 points so (x1, y1) (x2, y2)

you take the y values and subtract them, then divide by the x values like this:

y2 - y1 / x2 - x1

If a line is going up to the right in Quadrant I then the slope is positive, if the slope of the line goes down in Quadrant IV  then the line slope is negative

Slopes of horizontal lines are zero, the slope of a vertical line is undefined

We use the letter m to stand for the slope