The ratio of the number of boys and girls in the class is 4:3. There are 45 students in a class. How many students are boys?

Answers

Answer 1

Answer:

26

Step-by-step explanation:

as the ratio is given you should divide ratio of boys by total ratio and multiply it by the total number of students, kinda like how in percentages you divide partial value/total value x 100, just in this case the total is 45 instead of 100. So [tex]\frac{4}{7} * 45[/tex] = 25.7 which have to be rounded to 26


Related Questions

it costs 42 dollars for 12 cookies how much is 1 cookie

Answers

Answer:

$3.50

Step-by-step explanation:

if you divide 42 by 12 you get 3.5

Simplify the expression: 4a+8−2a−4+7b
Expression:__

Answers

Answer:

2a+7b+4

Step-by-step explanation:

collect like terms:

4a-2a=2a

8-4=4

then put the equation back together

which of the following is a polynomial function in factored from with zeros at 0, -3, and 4?​

Answers

The answer would be: f(x) = x(x + 3)(x – 4)

A survey asked a random sample students if they estimated they spent more or less than an hour a day on social media.

What percent of the 8th graders estimated they spend more than an hour a day on social media? Round your answer to the nearest whole number percent.

Answers

43

so sorry if this is incorrect.

The percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

A survey asked random sample of students if they estimated they spent more or less than an hour a day on social media.

       more   less

7th    12        14

8th    20      26

To determine the percentage of 8th graders who estimated they spend more than an hour a day on social media, we need to divide the number of students who answered "more" by the total number of 8th-grade students surveyed and then multiply by 100 to get the percentage.

20 students out of 46 students (20+26) answered "more" which is about 43.48%

Thus, the percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.

Learn more about the percentages here:

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find the unknown measures. round lengths to the nearest hundredth and angle measures to the nearest degree.

Answers

Answer:

Angle I = 44

Measure GH=7.64

Measure GI=7.91

Step-by-step explanation:

Angle I:

Since we know that m∠H = 46 and m∠G=90, we can find measure angle I by subtracting from 180.

[tex]180=46+90+x\\44=x[/tex]

Measure GH:

Since we are given that m∠H = 46, and the triangle is right, we can use trigonometric functions to find the two sides.

First is GH, since it's adjacent to the angle, we will use cosine.

[tex]cos(x)=\frac{adjacent}{hypotenuse} \\cos(46)=\frac{adjacent}{11}\\ 11*cos(46)=adjacent\\7.64=adjacent[/tex]

Measure GI:

The same idea as previous, only instead we will use sine since we need to find the opposite.

[tex]sin(x) = \frac{opposite}{hypotenuse}\\ sin(46)=\frac{opposite}{11}\\ 11*sin(46)=opposite\\7.91 = opposite[/tex]

If f ( 1 ) = 2 f(1)=2 and f ( n ) = f ( n − 1 ) 2 − 5 f(n)=f(n−1) 2 −5 then find the value of f ( 4 ) f(4).

Answers

[tex]f(1) = 2\\f(2)=f(2-1)^2-5=(f(1))^2-5 = 2^2-5 = -1\\f(3) = f(3-1)^2 - 5=f(2)^2-5=(-1)^2-5=-4\\f(4) = f(4-1)^2-5 = f(3)^2-5 = (-4)^2-5 = 11[/tex]

so f(4) = 11

Hope that helps!

Answer:

f(4) = 11

Step-by-step explanation:

Given :

base function ⇒ f(n) = f(n - 1)² - 5f(1) = 2

Solving :

f(2) = f(1)² - 5f(2) = 2² - 5 = 4 - 5 = -1

f(3) = f(2)² - 5f(3) = (-1)² - 5 = 1 - 5 = -4

f(4) = f(3)² - 5f(4) = (-4)² - 5f(4) = 16 - 5 = 11

pls help ill kiss u

Write a recursive sequence that represents the sequence defined by the following
explicit formula:
an=-5(3)n+1

Answers

Answer:

a1= -45

an= -5 ⋅ 3^n+1

Step-by-step explanation:

P varies inversely with Q, and P=12 when Q=8. Find P when Q=3.

Answers

Answer:

32

Step-by-step explanation:

Given :

P ∝ Q⁻¹ or P ∝ 1/Q

Finding the propotionality constant

P = k/Q12 = k/8k = 12 * 8 = 96

Finding P in Case (ii)

P = k/QP = 96/3P = 32

Please help!! thanks! ​

Answers

Answer:

C. (5, 1)

Step-by-step explanation:

Because the slope of F and G is 2, we know that the other points with the same distance are also going to have a slope of ±2. The only answer choice that fits this criteria is C

Hope this helps!

C.) (5,1) because we know the distance of F and G is 2 and if we graph (5,1) you would see the distance from F is 2

A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole.
A right triangle with side length 10 feet, hypotenuse of 22 feet, and side of h.

What is the height of the pole? Round to the nearest hundredth.
12.00 feet
19.60 feet
24.17 feet
38.40 feet

Answers

Concept Used :-

In this question, we can clearly observer that the diagram shows a right angled triangle. And, we have been provided with the value of base, and the value of hypotenuse, using the pythagoras theorem, now we can easily find out the value of the perpendicular i.e. the value of the side h. According to the pythagoras theorem, square of hypotenuse is equal to the sum of square of perpendicular and square of side respectively. Therefore, square of side is equal to the difference of square of hypotenuse and square of perpendicular.

Given Information :-

Hypotenuse = 22 ft. Base = 10 ft.

To Find :-

The value of side or the perpendicular

Formula Used :-

[tex] \star \: \underline{ \boxed{ \purple { \sf {Side}^{2} = {Hypotenuse}^{2} - {Base}^{2} }}} \: \star [/tex]

Solution :-

[tex]\sf \longrightarrow {Side}^{2} = {(22 \: ft)}^{2} - {(10 \: ft)}^{2} \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {484 \: ft}^{2} - {100 \: ft}^{2} \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {384 \: ft}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \sqrt{ {384 \: ft}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \underline{ \boxed{ \frak{ \green{19.60 \: ft}}}} \: \star \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Thus, option B. 19.60 ft. is the correct option.

[tex]\underline{\rule{230pt}{2pt}} \\ \\ [/tex]

Answer:

Answer is B

Step-by-step explanation:

A cell phone company charges $20 for a customer to open a new account and $35for each month of phone service.

Write a linear function to represent the total cost,y,a new customer would pay for x months of service

Answers

y=20+35x because the 20 is a 1 time thing and 35x because 35 is charged each month

Choose the phrase that correctly completes this sentence.

Taking out a loan is like ____________________.

Answers

Paying with a credit card

HELP PLEASE URGENT, ASAP. GRADE 11 TRIGONOMETRY MATH, ill give brainliest.

Answers

Answer:

deedww

Step-by-step explanation:


PLEASEEEEEE HELP ME OUT

Answers

Answer:

[tex]x = 135(being \: opposite \: angles \: of \: a \: paralleogram)[/tex]

Step-by-step explanation:

x =135(being opposite angles of a parallelogram)

Janice heard the final school bell, and 39 seconds later she was running at 2.4 meters per second toward her dad’s car. At this velocity, how long did it take Janice to run 180 meters?

Answers

Answer:

75 seconds to run 180 meters

Step-by-step explanation:

(180m) / (2.4m/s) = 75 seconds

75 seconds to run 180 meters, but if we take into consideration the initial 39 seconds, then the total time it took to run (75s + 39s) was 114 seconds.

The question didn't explicitly ask the total time it took, but the time it took to run 180 meters.


Write a rational expression with denominator (x - 3)(x + 2) that is equivalent to 3x-1/x+2

Answers

Answer:

  (x-3)(3x-1)/((x-3)(x+2))

Step-by-step explanation:

An equivalent fraction is formed by multiplying or dividing numerator and denominator by the same factor.

__

To get the desired denominator, the given denominator must be multiplied by (x-3). To get the desired numerator of the equivalent fraction, the numerator must also be multiplied by (x-3).

  [tex]\dfrac{3x-1}{x+2}=\boxed{\dfrac{(x-3)(3x-1)}{(x-3)(x+2)}=\dfrac{3x^2-10x+3}{x^2-x-6}}[/tex]

which equation represents a line which is perpendicular to the line x-5y=-40

Answers

Answer:

Final answer -

[tex]equation \: of \: such \: line \dashrightarrow \: y = - 5x + b \\ [/tex]

hope helpful :D

After heating up in a teapot, a cup of hot water is poured at a temperature of
20
8

208

F. The cup sits to cool in a room at a temperature of
6
8

68

F. Newton's Law of Cooling explains that the temperature of the cup of water will decrease proportionally to the difference between the temperature of the water and the temperature of the room, as given by the formula below:
T
=
T
a
+
(
T
0

T
a
)
e

k
t
T=T
a

+(T
0

−T
a

)e
−kt

T
a
=
T
a

= the temperature surrounding the object
T
0
=
T
0

= the initial temperature of the object
t
=
t= the time in minutes
T
=
T= the temperature of the object after
t
t minutes
k
=
k= decay constant

The cup of water reaches the temperature of
18
5

185

F after 3 minutes. Using this information, find the value of
k
k, to the nearest thousandth. Use the resulting equation to determine the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.

Enter only the final temperature into the input box.

Answers

Answer:

k ≈ 0.060T(4) ≈ 178 °F

Step-by-step explanation:

The desired formula parameters for Newton's Law of Cooling can be found from the given data. Then the completed formula can be used to find the temperature at the specified time.

__

Given:

  [tex]T(t)=T_a+(T_0-T_a)e^{-kt}\\\\T_a=68,\ T_0=208,\ (t,T)=(3,185)[/tex]

Find:

  k

  T(4)

Solution:

Filling in the given numbers, we have ...

  185 = 68 +(208 -68)e^(-k·3)

  117/140 = e^(-3k) . . . . . subtract 68, divide by 140

  ln(117/140) = -3k . . . . . . take natural logarithms

  k = ln(117/140)/-3 ≈ 0.060

__

The temperature after 4 minutes is about ...

  T(4) = 68 +140e^(-0.060·4) ≈ 68 +140·0.787186

  T(4) ≈ 178.205

After 4 minutes, the final temperature is about 178 °F.

someone help me please

Answers

The equivalent equation is (x - 3)² = 17. Option A. Have a great day

The equation x² - 6x = 8 is equivalent to the equation (x - 3)² = 17. Then the correct option is A.

What is an equivalent?

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

x² - 6x = 8

Add 9 on both sides, then we have

x² - 6x + 9 = 8 + 9

(x - 3)² = 17

The equation x² - 6x = 8 is equivalent to the equation (x - 3)² = 17. Then the correct option is A.

More about the equivalent link is given below.

https://brainly.com/question/889935

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Work in groups of 4 to find the areas of these regular polygons.
12
14

Answers

(14x2.5)/2=x
35/2=x
17.5=x
The answer is 17.5

Paulina is driving 25 miles per hour. Which equation can be used to determine d, the distance Paulina traveled in miles after h hours?

Answers

Applying the relation between speed, distance and time, we made distance subject of formula hence the expression for distance is

d = 25*h

Speed, Distance and Time

Given Data

Speed = 25 miles per hoursDistance = d milesTime traveled = h ours

We know that the expression showing the relationship between speed, distance and time is given as

Speed = Distance/Time

Substituting our given data we have

25 = d/h

Making distance subject of formula we have

25*h = d

d = 25*h

Learn more about speed here:

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please help I can't find the mean

Answers

Answer:

add all and devide by the amount of numbers so in this case 0+5+6+7+7 devided by 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

0 + 5 + 6 + 7 + 7 = 25

25/5 = 5

Find the measure of the angle given

Answers

Step-by-step explanation:

This is a cyclic quadrilateral, so angles E and P are supplementary.

Since angle P is 100 degrees, angle E is 180-100=80 degrees.

solve for c
x^(2)+12x+c

Answers

Answer:

14x+c

Step-by-step explanation:

I hope it's to help

Determine the equation of a circle with its centre at the origin in the Cartesian plane and with a radius of 2√3 units​

Answers

Answer:

x^2 + y^2 = 12

Step-by-step explanation:

For a circle with the center at the origin [(h,k) is (0,0)]

use the formula:

x^2 + y^2 = r^2

In this case r is 2sqroot3.

(2sqroot3)^2 is 12.

2•2•sqrt3•sqrt3

= 4•3

= 12

So we get,

x^2 + y^2 = 12

Please help only 2 questions please!! >_<.

Answers

Answer:

Edit:

7. Linear because the graph is a straight line with an x and y variable

8. Non-linear because the graph is not a straight line

Sorry for the confusion with my previous answer! I hope this helps!

What is the slope of the line?
y = -2/7x

A. -2
B. -2/7
C. 0
D. 2/7​

Answers

The slope of the line is -2/7
Answer: B. -2/7

Step-but-step solution
y = -2/7x .....(1)
y = mx + c .....(2)
Where m = gradient
c = y-intercept
And eqn(2) is the General line Eqn

Comparing equations (1) and (2)

Gradient,m = -2/7

What is -1/2+2/3 please answer i need

Answers

Answer:

1/6 i think

Step-by-step explanation:

A salesperson earns 7.5% commission on each vehicle sold. What price
must he sell a vehicle for in order to earn a commission of at least $3,000?

Answers

hey there! I’m just going to write out how I would solve this.

3,000=7.5%⋅x
100/7.5=13 1/3
3,000⋅13 1/3=x
x=$40,000

What type of triangle is this?

Answers

We can classify triangles by their angles and their side lengths.

ANGLES:

---Acute = all angles in the triangle are less than 90 degrees

---Right = one angle in the triangle is equal to 90 degrees

---Obtuse = one angle in the triangle is greater than 90 degrees

SIDE LENGTHS:

---Equilateral = all side lengths of the triangle are the same

---Isosceles = two side lengths of the triangle are the same

---Scalene = no side lengths of the triangle are the same

In the given triangle, it has a right angle, which means that it must be a right triangle. Looking at the side lengths, none of them are the same (presumably), so it is also a scalene triangle.

Answer: right, scalene

Hope this helps!

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