In Hackensack High School, the ratio of students to teachers is 9 to 2. If there
are 90 teachers at the High School, how many students are there?

Answers

Answer 1

I guess the answer is 405.

Because the value of 1 is 45 and 2×45 =90

9×45=405.

Hope it helps you:)

Answer 2

Step-by-step explanation:

students : Teachers

9 : 2

? : 90

students = 9 x 90 ÷ 2

students = 405


Related Questions

please help me with this equation

Answers

you need to include a picture or an equation

Evaluate the expression when x = 4 and y=5.

Answers

Answer:

49

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

3x² + 4y⁰ - x⁻¹

3(4)² + 4(5)⁰ * (4)⁻¹

3(16) + 4(1) * 1/4

48 + 4 * 1/4

48 + 4/4

48 + 1

49

What is the solution to 3+ 4e^X+1=11?
O x = In 2-1
O X=In2+1
O X- x-
e
e+2
OX-
e

Answers

Answer:

x = 1   ,or   x = -7

Obviously, the true answer is not in the options given.

Step-by-step explanation:

x² + 6x - 6 = 10

The above equation can not be factorized, hence the use of Almighty Formula.

x = [-b +- √b² - 4ac] / 2a

Where a = 1, b = 6, c = -6

x = [-6 +- √6² - (4*1*-6)] / 2*1

x = [-6 +- √36 - (-24)] / 2

x = [-6 +- √36 + 24] / 2

x = [-6 +- √60] / 2

x = [-6 +- 7.75] / 2

x = [-6 + 7.75] / 2   ,or   x = [-6 - 7.75] / 2

x = 1.75/2   ,or   x = -13.75/2

x = 0.875   ,or   x = -6.875

Approximately

x = 1   ,or   x = -7

Answer:

x=In2+1

Step-by-step explanation:

3+4ex+1-3=11-3

0+4ex+1=8

4ex+1=8

54) Ashley and Nicole each improved their yards by planting daylilies and ornamental grass. They
bought their supplies from the same store. Ashley spent $43 on 2 daylilies and 3 bunches of
ornamental grass. Nicole spent $87 on 6 daylilies and 3 bunches of ornamental grass. Find the
cost of one daylily and the cost of one bunch of ornamental grass.
dalilar.

Answers

Answer:

Daylilies- $11, Ornamental grass- $7

Step-by-step explanation:

For this one, you want to convert this into simultaneous equations.

If we let d be cost of one daylily and o be cost of one bunch of ornamental grass, we can write the equations as 2d+3o=43 and 6d+3o=87.

From there, we can see they share a like term (3o), so we subtract one equation from the other (since they both are preceded by a +). This gives 4d=44.

Dividing both sides by 4 isolates d, leaving d=$11.

We can substitute this value into either equation to work out o (I'm using the first one as it is easier). This makes it 2×11+3o=43, or 22+3o=43.

From there, we subtract 22 from both sides, giving 3o=21, and dividing by 3 gives a final result of o=$7.

**This content involves writing and solving simultaneous equations, which you may wish to revise. I'm always happy to help!

All working out:

d- cost of one daylily o- cost of one bunch of ornamental grass

2d+3o=43 6d+3o=87

6d+3o=87

 -     -     -

2d+3o=43

=     =    =

4d      =44

÷4        ÷4

d        =11

2d+3o=43

2×11+3o=43

22+3o=43

3o=21

o=7

A rental car company charges $80 per day to rent a car and $0.10 for every mile driven. Alyssa wants to rent a car, knowing that: She plans to drive 150 miles. She has at most $300 to spend. Which inequality can be used to determine xx, the maximum number of days Alyssa can afford to rent for while staying within her budget?Geq30080x+15≥300 15x+80\leq30015x+80≤300 80x+15\leq30080x+15≤300 15x+80\geq30015x+80≥300

Answers

Multiply the number of days (x) by the amount per day (80) to get 80x.

She is driving 150 miles at 0.10 per mile so multiply to get the mileage cost: 150 x 0.10 = 15

Add this to the daily amount:

80x+15

She can spend up to 300, so less than or equal to 300:

80x +15 <=300

What is the total weight of all the fruit she bought?
Image included

Answers

Answer:

1/3 kilograms

Step-by-step explanation:

Which expression is equivalent to the expression shown (5^3) ^9 divided 5^12

Answers

Answer:5 exponent of 15

Step-by-step explanation:trust

5 of the exponent of 15

Order the integers from least to greatest. 4, –4, –2, 2, –8

Answers

answer:
-8, -4, -2, 2, 4

hope this helps

I need to pass so can somebody answer this plz​

Answers

B. x = y

Hope this helps! :)

Answer:

x = y

Step-by-step explanation:

∠x and ∠y are corresponding angles

corresponding angles are congruent ( equal to each other )

Hence x = y

Tell whether the triangle with the given side lengths is a right triangle.
28, 45,54
The answer is yes or no

Answers

Answer:

No

Step-by-step explanation:

Which one is it?
a) <
b) =
c) >

Answers

Answer:

A: less that

Step-by-step explanation:

4( 14)+3

36+3= 39

39 (2+9)6-7

(11)6-7

66-7

59

39<59

I don’t understand what to do on these question, some help would be nice (trigonometry)

Answers

Step-by-step explanation:

> find the angle of center circle:

cos~¹ 5/(5+12) = cos~¹ 5/17 = 72°

so the sector area of the shaded

region =

(360-72)/360 × 3.14 × 5²

= 288/360 × 78.5

= 62.8

> the height of triangle (red Line) =

4×tan 72° = 4× 3.078 = 12.31

the height of pyramid (green

Line) = √12.31²-8.5² =√74.16

= 8.61

so the volume of pyramid =

⅓×(17×8)×8.61 = 390.32

Four friends share the profit of a lawn care service equally. The friends charge $45 per lawn and spend $30 of their
total earings on gasoline for the lawnmowers each week. Which inequality can be used to find m, the number of
lawns they need to mow next week so that each person earns at least $275? (14 Points)

A. 45m - 30 over 4 ≥ 275

B. 45m over 4 - 30 ≥ 275

C. 45m - 30 over 4 ≤ 275

D. 45m over 4 - 30 ≤ 275

Answers

Answer:

I think the answer is A. 45m - 30 over 4 ≥ 275

Need help what is the slope line that passes though the points

Answers

Slope = change in y / change in x

Slope = (4 - -8) / (-14 - -6)

Slope = 12/-8

Simplify:

Slope = -6/4

Answer:

-3/2

Step-by-step explanation:

To find the slope, use the slope formula

m = (y2-y1)/(x2-x1)

m = (4 - -8)/(-14 - -6)

   = ( 4+8)/(-14+6)

   = 12/-8

-3/2

Adding and subtracting polynomials

Answers

Answer:

The expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 21

Step-by-step explanation:

The perimeter is the sum of all side lengths for a 2d shape, such as this triangle. Our perimeter is thus

4x² - 3 + 4x² - 2 + 4x² - 1

We can then separate our variables and constants to make it

4x² + 4x² + 4x² - 3 - 2 - 1

Add the constants to get

4x²+4x²+4x²  - 6

To add variables, we must first make sure that they are the same variable/letter as well as to the same degree. The coefficient only affects the result. Because all of our variables are the same letter (x) and are all to the second degree, we can add them. To do this, we simply add the coefficients together to make one big coefficient, and multiply that by the variable. Thus,

4x² + 4x² + 4x² = (4+4+4)x² = 12x²

4x²+4x²+4x²  - 6 = 12x² - 6

Another way of looking at it is that 4x² = 4(x²) = x²+x²+x²+x²

Therefore, the expression to find the perimeter is 12x² - 6, and the perimeter when x= 1.5 is 12 * 1.5² - 6 = 21

It was very cold in Canada on Monday. On Tuesday, the temperature dropped one degree and was -2. What is x, the temperature on Monday?

Answers

Answer:

-3

Step-by-step explanation:

-2= x+1

-2-1=x

-3=x

A cylinder has a radius of 6 and a height of 10 find the volume

Answers

Answer:

30cm

Step-by-step explanation:

Vn = Vc

1/3 X Pie x 6^2 x hn = Pie x 6^ x 10

hn = 30cm

Given: Radius=7cm,

Height=10cm

Volume of the cylinder=πr2h

=722×7×6×10=1540cm3

At a local university, there are 4340 students enrolled in History. The ratio of males to
females in therprogram is 3:7. How many males and females are enrolled?​

Answers

Answer:

1302 males & 3038 females

Step-by-step explanation:

3x + 7x = 4340

10x = 4340

x = 434

3(434) = 1302 males

7(434) = 3038 females

I need help pls it’s a final

Answers

Answer:

A.Both of the students did the problem correctly.

Step-by-step explanation:

B. Nikki multiplied the fraction(8/3) to the items in the parentheses. Then multiplied each side with 3. Jon did the opposite. He first removed the fraction by multiplying each side by 3. Then he multiplied 2 to the items in the paranthesis.

C. I prefer Jon's method. Fractions can be tricky. I prefer to remove them as soon as possible. This time the items in the paranthesis had whole numbers. But had any of them been a fraction too, the problem would have gotten a lot more tricky and it would very easy to make a mistake or miscalculate something.

How can I find the area of an 18gon with a radius length 1ft

Answers

Answer:

Step-by-step explanation:

If we draw radii from the center of this 18-gon to each vertex, we end up with 18 triangles that are all congruent to each other. If we divide 360 by 18 we get the measure of the vertex angle of each of these 18 triangles. 360/18 = 20. So we take one of these triangles and pull it out and use it as a representative triangle from which we use trig to find its height and its base length.

The formula for the area for a regular polygon is

[tex]A=\frac{1}{2}ap[/tex] where a is the apothem (the height of our triangle) and p is the perimeter (found from the base of our triangle).

If we split this triangle we extracted right down the center vertically, we get 2 right triangles. Pull one of those out and this is the triangle we work with. The vertex angle is split in half and it now measures 10. The one base angle is the right angle and, by the Triangle Angle-Sum Theorem, the other base angle is 80. To find the height (or the apothem) of this right triangle that has a hypotenuse of 1 (the radius of the polygon is the hypotenuse of the right triangle), we use the sin or cos ratio. I used cos:

[tex]cos10=\frac{a}{1}[/tex] so

a = .9848

To find the base of this right triangle, I used the sin ratio:

[tex]sin10=\frac{p}{1}[/tex] so

p = .1736. But this is only half the length of one of the sides of the polygon, so multiply it by 2 to get the length of the whole side.

.1736 * 2 = .3473

Now, in order to find the perimeter, we multiply that one side by 18 to get

p = 6.2514

Now we're ready to find the area:

[tex]A=\frac{1}{2}(.9848)(6.2514)[/tex] so

A = 3.078 square feet


I NEED AN ANSWER RN PLEASE! WILL GOVE BRAINLIEST NEED QUICK!!

If r = "3 and m =
80, what is the value of m - 4r: (r + 1)?
O A. 17
O B. 74
O C. 114
O D. 152

Answers

Answer:

I got an answer of 77, so I am assuming it may be the closest option of 74?


Questlon 2 of 10
Is SAM- FIG? If so, identify the similarity postulate or theorem that
applies.
MOA
16
110 24
12
G
A. Similar - SAS
B. Similar - SSS
C. Similar - AA
D. Cannot be determined

Answers

Answer is c for sure

pls help me i need to hand in this project today

Answers

Answer:

it is too fine i cant really see the work

i don’t know you can’t see it

no links please!!!!!!!!!ty!!!

Answers

Answer:

<2 = 75

Step-by-step explanation:

<1 and <2 form a straight line which means that they add to 180

<1+<2 =180

105+<2 =180

Subtract 105 from each side

<2 =180-105

<2 = 75

CAN SOMEONE PLEASE HELP ME FAST?

Answers

Answer:

whats the question

Step-by-step explanation:

9) Solve for w:
W +12
2w

Answers

Answer:

w = 26

Step-by-step explanation:

set up an equation; since this is a right angle, it equals 90 degrees

90 = w + 12 + 2w

90 - 12 = w + 2w

78 = 3w

78/3

w = 26

Answer:

w = 26

Step-by-step explanation:

2w +w + 12 =90

3w +12 = 90

      -12    -12

3w = 78       then 3w/3 = 78/3

w=26

In the number pattern above each term is 2 less than the previous term which of the following is also true about the pattern



A. All the numbers are odd


B.all the numbers are even


C.all the numbers are multiplies of 3

D. All of the numbers are prime

Answers

Answer is A. All numbers are odd.

Write the word sentence as an inequality. Then solve the inequality. Eight times a number $n$ is less than 72

Answers

Answer:

8n < 72

n < 9

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

for example : 2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

8 times n = 8n

8n is less than 72, this can be represented by the equation : 8n < 72

to determine the value of n, divide both sides of the equation by 8

n < 9  

The area of a circular plate is approximately 50.24 in2. What is the radius of the plate?

Answers

Answer:

area of the circular plate =πr²

50.24 =3.14×r²

=50.24/3.14

=16

radius =4 inch

Answer:

4 in

Step-by-step explanation:

Find the value of x

Answers

Answer:

x=56

Step-by-step explanation:

Since the angles are all the same,

D=78

F=46

All you have to do is subtract these numbers from 180, which gives you 56

Answer:

56

Step-by-step explanation:

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