The ratio of girls to boys in a particular classroom is 8: 7. How many boys are in the class if there are 45 students?

ONLY ANSWER IF YOU KNOW THE ANSWER

The Ratio Of Girls To Boys In A Particular Classroom Is 8: 7. How Many Boys Are In The Class If There

Answers

Answer 1

9514 1404 393

Answer:

  21

Step-by-step explanation:

Rearranging the given ratio, we can find the ratio of boys to the total.

  boys : (boys +girls) = 7 : (7+8) = 7 : 15

Then the number of boys is ...

  (7/15)(45) = 21

There are 21 boys in the classroom.


Related Questions


A road in Europe has a speed limit of 60 kilometers per hour. How many miles per hour is this?

Answers

Answer: 37.282 miles per hour

Answer: 37.28 mph

Step-by-step explanation:

Use the quadratic formula to solve x2 - 5x - 2 = 0.
O A. x=5+ y23
O B. x=2+2
O C. - x - 25+, VT
O D. x = 5 + 917

Answers

Answer:

A

Step-by-step explanation:

Note: I suppose you typed the question wrong, thus I calculated the question in the picture

[tex]x = \frac{ - b + - \sqrt{{b}^{2} - 4ac} }{2} \\ = \frac{5 + - \sqrt{25 - 4 \times - 2 \times 1} }{2} \\ = \frac{5 + - \sqrt{25 + 8} }{2} \\ = \frac{5 + - \sqrt{33} }{2} [/tex]

The value of solution of quadratic function is,

⇒ x = (5 ± √33) / 2

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The quadratic function is,

⇒ x² - 5x - 2 = 0

Now, We can simplify as;

⇒ x² - 5x - 2 = 0

⇒ x = - (- 5) ± √(-5)² - 4×1×- 2 / 2

⇒ x = (5 ± √33) / 2

Thus, The value of solution of quadratic function is,

⇒ x = (5 ± √33) / 2

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The total population of ethnic Southeast Asian students from Burma, Laos, Thailand, Vietnam, and Kampuchea at your university is currently 100 students. The administration of the university wants to increase the diversity of the student body and decides to increase the number of students from Southeast Asia by 8 percent each year, (over the prior year's enrollment) for a period of 15 years. How many students from Southeast Asia will be enrolled at your university after the 15 year period

Answers

Answer:

the number of students that enrolled after 15 year is 317

Step-by-step explanation:

The computation of the number of students that enrolled after 15 year is shown below;

We know that

Future value = Present value × (1 +rate of interest)^number of years

 = 100 × (1+8%)^15

= 100 × 1.08^15

= 317

Hence, the  number of students that enrolled after 15 year is 317

The same should be considered and relevant

A survey of 1000 young adults nationwide found that among adults aged 18-29, 35% of women and 30% of men had tattoos. Suppose that these percentages are based on random samples of 500 women and 500 men. Using a 2.5% level of significance, can you conclude that among adults aged 18-29, the proportion of all women who have tattoos exceeds the proportion of all men who have tattoos?

Answers

Answer:

95% confidence interval for adults in age group 18-29 is (-0.007, 0.107)

Step-by-step explanation:

Given  

N1 = n2 = 500

% of males = 0.30

% of females = 0.35

95% confidence interval  

(p2-p1) + z(0.025) sqrt (p1q1/n1 + p2q2/n2)  and (p2-p1) - z(0.025) sqrt (p1q1/n1 + p2q2/n2)  

Substituting the given values, we get –  

(0.35-0.30) + 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500) and (0.35-0.30) - 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500)

0.05 + (1.96 *0.029) and 0.05 - (1.96 *0.029)

0.05 + 0.057 and 0.05 – 0.057  

(-0.007, 0.107)

What are the solutions to
96x(730) = (85/x)(15)
in decimal form?

Answers

Answer:

[tex]x = 0.1349[/tex]

Step-by-step explanation:

Given

[tex]96x (730) = (85/x)(15[/tex]

Multiply both sides by x

[tex]96x^2 (730) = 85 * 15[/tex]

[tex]96x^2 (730) = 1275[/tex]

Rewrite as:

[tex]96*730x^2 = 1275[/tex]

[tex]70080x^2 = 1275[/tex]

Divide by 70080

[tex]x^2 = 0.01819349315[/tex]

Take square roots of both sides

[tex]x = 0.1349[/tex]

3384/24 step by step ......I really need help

Answers

Don’t think this is reliable anyone can type stuff down so I wouldn’t recommend it

What is the following sum?
4V5+2V5

Answers

Answer:

Combine 4v_{5} and 2v_{5} to get 6v_{5}.

what'd the greatest common factor (GCF) for each pair of numbers. 25, 55 The GCE IS​

Answers

Answer:

5

Step-by-step explanation:

5 l 25,55

   l 5,11

Find the equation (in terms of x ) of the line through the points (-2,5) and (3,4)
y=

Answers

Answer:

[tex]{ \boxed{ \bf {general \: equation : y = mx + c}}} \\ m \: is \: the \: slope \\ { \green{slope = \frac{ \triangle \: y}{ \triangle \: x} }} \\ m = \frac{(4 - 5)}{(3 - ( - 2))} \\ m = - \frac{1}{5} \\ \therefore \: { \red{y = - \frac{1}{5} x + c}} \\ consinder \: the \: first \: point : \\ 5 = ( - \frac{1}{5} \times - 2) + c \\ c = \frac{23}{5} \\ \therefore \: { \boxed{ \bf{answer : 5y = - x + 23}}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}[/tex]

what are the range and domain?

Answers

Answer:

domain=0

range=2

Step-by-step explanation:

this might be helpful..

I’ll give u brainlest please

Answers

Answer:

315

Step-by-step explanation:

the formula is V = B * h

B is the area of the base

V = (1/2)(10)(7) * 9

One sixth of the students of a class joined the
sports club. Three fifth of these students opted
to play table tennis. If 6 students play table
tennis, how many students are there in the
class?​

Answers

Answer:

5/8 the answer answer answer

The accompanying observations are numbers of defects in 25 1-square-yard specimens of woven fabric of a certain type: 4, 7, 5, 2, 3, 1, 9, 3, 4, 3, 5, 7, 3, 2, 2, 4, 7, 3, 2, 5, 5, 1, 4, 4, 5. Construct a c chart for the number of defects. (Round your answers to two decimal places.)
x double bar =
LCL =
UCL =

Answers

Answer:

x double bar = 4

LCL = - 2

UCL = 10

Step-by-step explanation:

The C - chart :

The control limit = xbar

xbar = mean = ΣX / n

The upper and lower control limit :

Xbar ± 3√xbar

Xbar = Σx / n = 100 / 25 = 4

Hence,

x double bar = 4

LCL = Xbar - 3√xbar = 4 - 3√4 = 4 - (3*2)

LCL = 4 - 6 = -2

UCL = Xbar + 3√xbar = 4 + 3√4 = 4 + (3*2)

LCL = 4 + 6 = 10

There are approximately 1.35 billion people in China. If the world population is 7.1 billion people, what percent of the world population is in China?​

Answers

Answer:

19.01%

Step-by- step explanation:

[tex]Percentage = \frac{1.35 billion }{ 7.1 billion } \times 100[/tex]

                [tex]= \frac{ 1.35 \ times 1, 000, 000, 000} {7.1 \times 1,000,000,000} \times 100\\\\\\=\frac{1.35}{7.1} \times 100 = 19.01 \%[/tex]

Consider the sequence Two-fourths, three-fifths, four-sixths, StartFraction 5 Over 7 EndFraction, ellipsis Which statement describes the sequence? The sequence diverges. The sequence converges to 0. The sequence converges to 1. The sequence converges to [infinity].

Answers

Answer:

The sequence converges to 1

Step-by-step explanation:

Given

[tex]\frac{2}{4}. \frac{3}{5}, \frac{4}{6}, \frac{5}{7},...[/tex]

Require

Description of the sequence

The given sequence follows:

[tex]\frac{2}{4}. \frac{3}{5}, \frac{4}{6}, \frac{5}{7},... \frac{n+1}{n+3}[/tex]

i.e.

[tex]T_n = \frac{n+1}{n+3}[/tex]

For every term,

[tex]\frac{n+1}{n+3} < 1[/tex]

In other words,

as the value of n increases, [tex]\frac{n+1}{n+3}[/tex] approaches 1

Hence, (c) is true

Please solve the puzzle!

Answers

It looks like the number 6 goes there. It seems to be the only one missing :|

can someone answer pleaseeee


A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:

f(n) = 10(1.02)n

Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)

Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)

Answers

Answer:

Step-by-step explanation:

11.04 = 10(1.02)^n

1.104 = 1.02^n

ln 1.104 = ln 1.02^n

ln 1.104 = n ln 1.02

n = ln 1.104/ ln 1.02

n = 4.99630409516

4.99 can be rounded to 5.

So a reasonable domain would be 0 ≤ x < 5

PART B)

f(0) = 10(1.02)^0

f(0) = 10(1)

f(0) = 10

The y-intercept represents the height of the plant when they began the experiment.

f(1) = 10(1.02)^1

f(1) = 10(1.02)

f(1) = 10.2

(1, 10.2)

f(5) = 10(1.02)^5

f(5) = 10(1.1040808)

f(5) = 11.040808

f(1)=10(1.02)^1

f(1)=10.2

Average rate= (fn2-fn1)/(n2-n1)

                     =11.04-10.2/(5-1)

                    =0.22

the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.  

the following triangles are similar by which short cut?
A. SAS
B. ASA
C. SSS
D. not congruent

Answers

Answer: It's A.

You can see in the figure that:

BG=GD

<BGI=<OGD

GI=GO

The diagram shows AFGH. Which term describes point J? G A. Centroid B. Circumcenter C. Orthocenter D. Incenter​

Answers

answer is a-circumcenter

The term that describes point J is Centroid.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

Centroid:

The centroid is the point where the three medians of a triangle intersect.

A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.

The centroid is also the center of mass of a triangle, and it is located two-thirds of the way along each median from the vertex to the midpoint of the opposite side.

Now,

From the figure,

We see that,

J is the point where the three medians of a triangle intersect.

Thus,

The term that describes point J is Centroid.

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In the diagram, the lines dividing parking spaces are parallel. The measure of ∠1 is 110°. Identify the measures of each labeled angle to ensure cars can park safely.

Answers

Answer:

1=110 2=70 3=70 4=110 5=110 6=70 7=70 8 =110

Step-by-step explanation:

its the answer

Which of the following is NOT a solution to the linear equation y=3x+2?
Select the correct answer below:
(1,5)
(2,8)
(3,10)
(4,14)

Answers

Answer:

(3,10)

Step-by-step explanation:

When x is 3

[tex]{ \bf{y = 3x + 2}} \\ { \bf{y = (3 \times 3) + 2}} \\ { \bf{y = 11}}[/tex]

y is 11, and this is invalid because it is not at accord.

The correct coordinates which is NOT a solution to the linear equation

y = 3x+2 is,

⇒ (3, 10)

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Linear equation is,

⇒ y = 3x + 2

We know that;

The solution of linear equation is satisfy the eqaution.

Hence, We can check as;

⇒ y = 3x + 2

Put x = 1. y = 5

⇒ 5 = 3 × 1 + 2

⇒ 5 = 5

Thus, It is solution of linear equation.

⇒ y = 3x + 2

Put x = 2. y = 8

⇒ 8 = 3 × 2 + 2

⇒ 8 = 8

Thus, It is solution of linear equation.

⇒ y = 3x + 2

Put x = 3, y = 10

⇒ 10 = 3 × 3 + 2

⇒ 10 ≠ 11

Thus, It is not solution of linear equation.

Thus, The correct coordinates which is NOT a solution to the linear equation y = 3x+2 is,

⇒ (3, 10)

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1. Suppose that a die is rolled twice. What are the possible values that the following random variables can take on: (a) the maximum value to appear in the two rolls: (b) the minimum value to appear in the two rolls; (c) the sum of the two rolls; (d) the value of the first roll minus the value of the second roll? 2. If the die in Problem 1 is assumed fair, calculate the probabilities associated with the random variables in parts (a) through (d).

Answers

Answer:

hat mather chosen to be mather

Find the equation of the straight line that passes through the points (1, 10) and (3, 2)
ANSWER ASAP

Answers

Answer:

y = -4x+14

Step-by-step explanation:

First find the slope

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

m = (2-10)/(3-1)

   =-8/2

   = -4

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -4x+b

Substitute a point into the equation

10 = -4(1)+b

Add 4 to each side

14 = b

y = -4x+14

Which table represents a linear function?

Answers

Answer:

First table from left.

Step-by-step explanation:

Equal step of a half.

1,7

2,9

3,13

4,21

Step-by-step explanation:This is the linear function graph i plotted the points

In the short run, higher demand will not influence the price, it will influence
A. output.
B. price.
ОО
C. investment.
D. input.

Answers

Answer:

c espero q passe na prova tudo de bom pra vc

the answer is c, investment

John is a quarterback. This year, he completed 350 passes, which is 70, percent of all the passes he's attempted this year.
How many passes has John attempted this year?

Answers

Answer:

John attempted 500 passes this year

Step-by-step explanation:

To sum up the question, it is basically asking what number has 350 as 70% of it.

We know that:

350 is 70% of some number.

Convert 70% to fraction:

70% = 7/10

Divide:

350 ÷ 7/10 = 500

So 350 is 70% of 500

CHECK THE ANSWER:

10% of 500 is 50

To find 70% of 500, multiply:

50 x 7 = 350

I really hope this helps! Please ask me in case you’re confused.

I don’t really understand these

Answers

Answer:

its answer is 3rd part

ABC-FED

Hey buddy I am here to help!

angle ABC = angle FED

Hope this answer helps!

Plz mark me brainliest!

Classify each as true or false. if the statement is true, identify the theorem. if the statement is false, give a counter example to show it is false.

Answers

Answer:

a) true.

if 3 can divide a without remainder, then a = 3×x.

doubling that number makes it 2×3×x. because of that still included factor 3, it is still divisible by 3 without remainder.

b) false.

example :

a=6, b=4, c=3

bc = 12

6 can divide 12 without remainder, but 6 cannot do that with 4 and not with 3.

or

a=7, b=35, c=10

bc=350

7 can divide 350 without remainder, and can do that also with 35, but not with 10.

Choose the correct vertex of the function f(x) = x2 - X + 2.

Answers

Answer:

The vertex of the function is [tex](\frac{1}{2}, \frac{7}{4})[/tex]

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

f(x) = x² - X + 2.

Quadratic equation with [tex]a = 1, b = -1, c = 2[/tex]

So

[tex]\Delta = b^2-4ac = (-1)^2 - 4(1)(2) = 1 - 8 = -7[/tex]

[tex]x_{v} = -\frac{(-1)}{2} = \frac{1}{2}[/tex]

[tex]y_{v} = -\frac{-7}{4} = \frac{7}{4}[/tex]

The vertex of the function is [tex](\frac{1}{2}, \frac{7}{4})[/tex]

60°
b
45°
8
Find a, b, and c.
Plz help :)

Answers

Answer:

step 1 : 8/b = sin 45 degree so b = 11.31

step 2 : a/b = sin 60 degree, so a = 9.8

step 3: c/b = cos 60 degree, so c = 5.66

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