at the science school, there is one microscope for every 5 students. The principal figures that in order to have one for every 4 students, she needs 6 additional microscopes. How many students are at the school?

Answers

Answer 1
Answer: 120 students

Explanation:

Let x be the number of scopes
Let a be the number of student at school

1x = 5 students
But 5x = a

1x = 4 students
But the principal needs 6 additional scope so that all the students can use it.

=> (x + 6) = 4 students
=> 4(x + 6) = a

Thus,
5x = 4(x + 6)
5x = 4x + 24
5x - 4x = 24
x = 24

So, there are 24 scopes.

Plug x in both equation and compare:

5x = a
5(24) = a
120 = a

4(x + 6) = a
4(24 + 6) = a
4(30) = a
120 = a

Therefore, the students at the school are 120

Related Questions

what is 6000 ÷ 93

thx you if help me​

Answers

Answer:

64.51

Step-by-step explanation:

6000 divided by 93 = 64.51

Answer:

64.51 :D

No explanation- heh-

Estimate the addition by rounding each number to the nearest hundred thousand. Then find the sum. Estimate: 229,275 +115,368 344633​

Answers

Answer:

600,000

Step-by-step explanation:

When rounding to the nearest 100,000 if it's X50,000 you round up 1 for the X, if it's X49,999 or less you keep the X as is.

229,275 rounding to the hundred thousand would be 200,000

115,368 would be 100,000

344,633 would be 300,000

so 200,000+100,000+300,000 = 600,000

Hii, so this was one of the questions on a previous CSAT exam (korean sat). I was curious and decided to look at a few questions. This question I found was particularly interesting and I am close to figuring it out but i keep getting stuck. Would anyone like to explain how this works and how to solve it?

Answers

Answer:

Step-by-step explanation:

Well you can calculate the area of the base side by the integration of cos - sin x over the limits x = 0 and x = π/6.

Then I think one side of the square  would be cos π/6 - sin  π/6.

So I think the required volume  can be worked out as area of base * length of a side of the square.

I think that,s the way to do it, if i have interpreted the question correctly.

Can anyone find the slope of this line (lots of points reward)

Answers

Answer:

(-5,1)

Step-by-step explanation:

i dont really know but might be right

Answer:

   -1/2

Step-by-step explanation:

Find two points on the line

(0,-5) and (2,-6)

Using the slope formula

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

   = (-6 - -5)/( 2-0)

   ( -6+5)/( 2)

     -1/2

Can you help me out?

Answers

Answer:

Eight X plus sixty equals one hundred fifty-six

The mapping diagram shows a functional relationship Complete the statements f(4) is Domain Range f(x) = 4 when x is. ​

Answers

Answer:

f(4) is 1/2

f(x)= 4 when x is 8

The complete statements would be as:

function f(4) is 1/2 and function f(x) = 4 when domain x is 8.

What are the domain and range of the function?

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given that the mapping diagram shows a functional relationship.

To determine the value of f(4)

As per the given functional relationship,

If the value of the domain is 4 then the value of the respective range would be 1/2.

Therefore, the function f(4) would be 1/2.

To determine the value of x,  when f(x) = 4

As per the given functional relationship,

If the value of the range is 4 then the value of the respective domain would be 8.

Therefore, x would be 8 if function f(x) = 4 .

Hence, the complete statements would be as:

f(4) is 1/2 and f(x) = 4 when x is 8.

Learn more about the domain and the range here:

brainly.com/question/21027387

#SPJ2

Question 3 (5 points)
(-1) + 5 -(-6) - 5 =
A) -3
B) 0
C) 5
D) -2.

Answers

Answer:

5

Step-by-step explanation:

-1+5+6-5

-1-5+5+6

-6+11

5

Write the possible range of each measurement to the nearest tenth. Include unit measure. Round to the tenths place.

60 m ± 4.5%

__?__ - __?__

Answers

Answer:

60.0m≤60.1m

Step-by-step explanation:

Given the interval for the measurement to be  60 m ± 4.5%, the posible range of each measurement is expressed as shown;

60 m ± 4.5% =  60 m ± 4.5/100

=  60 m ± 0.045

= (60 - 0.045, 60+0.045)

= (59.955, 60.045)

Hence possible range of each measurement to the nearest tenth is (60.0m≤60.1m)

p = q/4 -r solve for q

Answers

Answer:

4(p+r) = q

Step-by-step explanation:

p = q/4 -r

Add r to each side

p+r = q/4 -r+r

p+r = q/4

Multiply each side by 4

4(p+r) = q/4*4

4(p+r) = q

Simplify the expression: 5^2 - 3 * 6 A)7 B)24 C)132 D)144

Answers

Answer:

7

Step-by-step explanation:

5^2 = 5 x 5 = 25

3 x 6 is 18

25 - 18 is 7

also, use PEMDAS

Answer:

The answer is 7.

5^2-3×6.

25-18=7.

What is an algebraic expression for each word phrase? a. 11 more than twice a number x b. 2 less than the quotient of 5 and a number x c. The product of 4 and the sum of a number x and 8

Answers

Answer:

a.) 11>2x.

b.) 2<5÷x.

c.) 4(x+8).

The word phrases into an algebraic expression will be 2x + 11, 5/x - 2, and 4(x + 8).

How to convert the sentence into an expression?

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

Convert all the word phrases into an algebraic expression. Then we have

a. 11 more than twice a number x. Then we have

⇒ 2x + 11

b. 2 less than the quotient of 5 and a number x. Then we have

⇒ 5/x - 2

c. The product of 4 and the sum of a number x and 8. Then we have

⇒ 4(x + 8)

The word phrases into an algebraic expression will be 2x + 11, 5/x - 2, and 4(x + 8).

More about the conversion of sentences into equation link is given below.

https://brainly.com/question/10606712

#SPJ2

why isn’t 3/4 a integer? answer asap pls

Answers

Answer: integer's are whole  numbers so a fraction,decimal and negitive numbers aren't integer's

Step-by-step explanation:

What is the area of 6 ft and 5 ft

Answers

Well area is bh/2 which I would say 15 I’m not sure if it’s the right answer

Answer:

15

Step-by-step explanation:

Tim's phone service charges $27.22 plus an additional $0.15 for each text message sent per month. If Tim's phone bill was $30.97, which equation could be used to find how many text messages, x, Tim sent last month? A. $0.15x + $27.22 = $30.97 B. $27.22x - $0.15 = $30.97 C. $27.22x + $0.15 = $30.97

Answers

Answer:

A) $27.22 + $0.15x = $30.97

Step-by-step explanation:

Answer:

The answer would be  A. $0.15x + $27.22 = $30.97

Step-by-step explanation:

Probe that:
[tex] \sec \alpha \sqrt{1 - \sin( {}^{2} ) } \alpha = 1[/tex]

Answers

Step-by-step explanation:

[tex] \sec \alpha \sqrt{1 - \sin ^{2} \alpha } = 1[/tex]

Prove the LHS

Using trigonometric identities

That's

[tex] \cos ^{2} \alpha = 1 - \sin^{2} \alpha [/tex]

Rewrite the expression

We have

[tex] \sec \alpha \sqrt{ \cos^{2} \alpha } [/tex]

[tex] \sqrt{ { \cos }^{2} \alpha } = \cos \alpha[/tex]

So we have

[tex] \sec \alpha \times \cos \alpha [/tex]

Using trigonometric identities

[tex] \sec \alpha = \frac{1}{ \cos \alpha } [/tex]

Rewrite the expression

That's

[tex] \frac{1}{\cos \alpha } \times \cos \alpha [/tex]

Reduce the expression with cos a

We have the final answer as

1

As proven

Hope this helps you

Please answer these questions and the photo is above and please show the simple work

Answers

I'm not going to answer the questions for you. Instead I will give you stuff taht will help you solve the problems.

A negative divided/multiplied by another negative will be positive

A negative divided/multiplied by a positive will be negative

Good luck with your math hw! If you need more help, just comment!

I plugged in 4 for the derivative function but I’m getting the wrong answer?

Answers

Answer:

8.6615988

Step-by-step explanation:

f(x) = 3 sin (x) / ( 1 + cos x)

To find the derivative   bottom * d/ dx top  - top d/dx bottom  all over the bottom squared

d/dx = 3 ( ( 1 + cos x)  cos x - sin x( - sin x))   / ( 1 + cos x) ^2

         = 3 ( cos x + cos ^2 x + sin ^2 x)   / ( 1 + cos x) ^2

         = 3 ( 1 + cos  x) /  ( 1 + cos x) ^2

         = 3 / ( 1 + cos x)

Let x = 4

3  /  ( 1 + cos 4)

Assuming x is in radians

3/.346356

8.6615988

The question I have is y=3bx-7x. It says to solve the literal equation for x.

Answers

Answer:

y/( 3b-7)=x

Step-by-step explanation:

y=3bx-7x

Factor out x

y=(3b-7)x

Divide each side by (3b-7)

y/( 3b-7)=(3b-7)x/ ( 3b-7)

y/( 3b-7)=x

Answer:

[tex]\huge \boxed{x= \frac{y}{3b-7} }[/tex]

Step-by-step explanation:

[tex]\sf y=3bx-7x[/tex]

Factor out x from the expression.

[tex]\sf y=x(3b-7)[/tex]

Divide both sides by (3b - 7).

[tex]\sf \displaystyle \frac{y}{3b-7} =x[/tex]

The jar's inner dimensions of the jar are approximately a cylinder with a height of 18
cm and a radius of 7 cm. The jar completely filled to the top with jelly beans. What is
the volume of the Jar?

Answers

[tex]v = \pi \times {r}^{2} \times h[/tex]

[tex]v = \pi \times 49 \times 18[/tex]

[tex]v = 2770.88[/tex]

A line with a slope of 3 passes through (2,5). Which choice is an equation of this line? Please help

Answers

Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

m is the slope and x₁ and y₁ is an ordered pair.

Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:

[tex]y-5=3(x-2)[/tex]

Our answer is the top right :)

Answer:

Answer:

Top right.

Step-by-step explanation:

So we want a line with a slope of 3 and passes through (2,5).

To do so, we can use the point-slope form.

The point-slope form is:

m is the slope and x₁ and y₁ is an ordered pair.

Thus, let m be 3, y₁ be 5, and x₁ be 2. Thus:

Our answer is the top right :)

Step-by-step explanation:

Solve the equation. Enter only the number into the box below.
22 = 18 + x

Answers

Answer:

x=4

Step-by-step explanation:

22 = 18 + x

Subtract 18 from each side

22-18 = 18-18 + x

4 =x

The answer will be X=4 because
4+18=22

May I get some help? Please and thank you​

Answers

Answer:V x 80 = 36      Original value is $0.45

Step-by-step explanation:  V is the original value and your x it by 80

Convert the following:
4 quarts is equivalent to
0 liters (rounded to the hundredth)

Answers

Answer:

3.79 liters

Step-by-step explanation:

2 quarts equals 1.89 so 2×2 = 3.79

convert 18 celsius to Fahrenheit

Answers

Answer:

It's 64 degrees

Step-by-step explanation:

multiply the temperature in degrees Celsius by 2 then add 30 to get the estimated temperature

Three equivalent ratios are shown on the graph. On a coordinate plane, points (1, 0.5), (2, 1), and (5, 2.5) are plotted. Starting on one of the plotted points, how can you plot more equivalent ratio points? Move up one and right one and one-half. Move up one and one-half and right three. Move up two and right three. Move up one-half and right two

Answers

Answer:

Move up one half and right two.

Step-by-step explanation:

trust

Answer:

move on up one and right two

Step-by-step explanation:

Which expression is not equivalent to a ∙ c ∙ 5 ∙ 5? 1. 10ac 2. 25ca 3. 25ac

Answers

Answer:

3. 25ac

Step-by-step explanation:

[tex]a\cdot c\cdot \:5\cdot \:5\\=25ac[/tex]

∠1 and ∠2 are vertical angles. If the measure of ∠2 is 105°, find the measure of ∠1.

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{105°}}}}}[/tex]

Step-by-step explanation:

Given, < 2 = 105°

To find : < 1

When two lines interest the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles are always equal to each other.

So,

<1 = 105 °

Hope I helped!

Best regards!

Answer:

[tex]\Huge \boxed{\angle 1 = 105 \° }[/tex]

Step-by-step explanation:

[tex]\angle 1[/tex] and [tex]\angle 2[/tex] are vertical angles.

[tex]\angle 2= 105 \°[/tex]

Vertical angles are equal in measure.

[tex]\angle 1= \angle 2[/tex]

[tex]\angle 1= 105 \°[/tex]

Explain how to use friendly percents to find 35% of 80

Answers

Answer:

You can use friendly percents to find 35% of 80 by writing 35% as 25% + 10%. 25% of 80 is 80 divided by 4, which is 20. 10% of 80 is 80 divided by 10, which is 8. 20 + 8 = 28. So 35% of 80 is 28.

Step-by-step explanation:

I just did the test!!! And plus its a sample answer !!!

You order two tacos and a salad costs $2.50 you pay 8% sales tax and leave a $3 tip you pay a total of $13.80 how does one taco cost

Answers

Tacos 3.60 each
Salad 2.5
Sales Tax 1.10
Tip 3
Total 13.80

Answer:

One taco costs $3.75.

Step-by-step explanation:

Let x = cost of taco

You order 2 tacos: 2x

You add a salad: 2x + 2.5

You pay 8% sales tax on 2x + 2.5, so you pay 1.08(2x + 2.5)

You leave a $3 tip, so the total you pay is: 1.08(2x + 2.5) + 3

The total you pay is $13.80

1.08(2x + 2.5) + 3 = 13.80

Subtract 3 from both sides.

1.08(2x + 2.5) = 10.8

Divide both sides by 1.08

2x + 2.5 = 10

Subtract 2.5 from both sides.

2x = 7.5

x = 3.75

One taco costs $3.75.

Need ASAP! Choose the numbers that are irrational. 1. 0. 87 repeating 2. 3.624 3. √2 4. 0. 6 repeating 5. -5 6. 1 over 3 7. Pi. I couldn't use the symbol

Answers

Answer:

1, 3, 7

Step-by-step explanation:

A rational number can be written as a ratio or fraction.

1) I wasn't able to determine a fraction for what I'm assuming you meant by 0.878787878787 going on and on so it must be irrational

2) 3.624 can be written as 3 78/125

3) The square root of two is irrational

4) 0.6666666 going on and on can be written as 1/3

5) -5.6 can be written as a fraction too

6) 1/3 is already a fraction

7) Pi is irrational

Hope that helps!

Other Questions
How did most monarchs in England and France participate in the northern renaissance Why do people use borders the temperature of two bodies differ by 1c. how much will they differ in Fahrenheit? Read the excerpt from "The Crab That Played with the Sea. And the Rat said, I am too busy biting through the line that this old Fisherman is spinning. I do not play with the Sea. And he went on biting the line. Then the little girl-daughter put up her little soft brown arms with the beautiful white shell bracelets and said, O Eldest Magician! when my father here talked to you at the Very Beginning, and I leaned upon his shoulder while the beasts were being taught their plays, one beast went away naughtily into the Sea before you had taught him his play. And the Eldest Magician said, How wise are little children who see and are silent! What was the beast like? Which quotation from the passage is the best example of imagery? I am too busy biting through the line that this old Fisherman is spinning. I do not play with the Sea. Then the little girl-daughter put up her little soft brown arms with the beautiful white shell bracelets. While the beasts were being taught their plays, one beast went away naughtily into the Sea before you had taught him his play. And the Eldest Magician said, How wise are little children who see and are silent! What was the beast like? what is the name of this picture? what does the process skill measuring mean? Another way to write g(h(x)) Place the following empires in the order in which they were founded, from earliest to latest.Persian EmpirePhoenician EmpireAssyrian Empire1.Phoenician Empire 2.Assyrian Empire 3.Persian Empire 72. A piece of unknown metal with mass 30 g is heated to 1100 C and dropped into 100.0 g of water at 200 C. The final temperature of the system is 25 degree Celsius. What is the specific heat of the metal what is an everyday example of scarcity that demonstrates why scarcity is a basic economic problem that faces society? Which of the following is an example of the letter "o" in a SOAP note?The blood pressure is 160/90 mm HgWill order prescription refill for blood pressure medication The patient complains of high blood pressure The patient should return in 2 weeks Which is equivalent to3/4 Micha washed a car in 20 minutes. At this rate, how many hours would it take to wash 9 cars? 6. b. In the figure, suppose CD = 11.5 cm, DE = 5.3 cm, and theperimeter of the figure is 73.8 cm.What is GE? Investments consist of treasury bills that were purchased in November, 2018 and mature in January, 2019. Prepaid insurance is for two years. What amount should be included in the current asset section of Janson's December 31, 2018, balance sheet The Celtic warrior-queen Boudica led the British uprising against the Romans in the first century because __________. athe Roman soldiers took all of her dead husband's property and property of other Iceni leaders bthe Romans public stripped and beat her cRoman soldiers raped her daughters dall of these 101. Present Value Find the present value that will grow to $5000 if interest is 3.5% compounded quarterly for 10 yr Which type of validity coefficient is most appropriately used for selection purposes? A test has five questions. To pass the test, at least three of the questions must be answered correctly. question ----> Find the probability that Mark guesses 4 questions correctly. according the zheng he what are the purposes of the ming voyages