How many boys are in a class of thirty-five student if the girls outnumber boys by five

Answers

Answer 1
15 Boys because 35-5 is 30 then divide 30 by 2 to get 15
Answer 2

There are total 35 students in the classroom. If the number of girls is 5 more than the number of boys, then the number of boys in the class is 15.

What is fraction?

An object or  total number of some objects can be fractionated into two more fractions where the sum of these fractions equals to the total number. Let s be the total number of pearls in a glass. Let x be the number of white pearls and y be that of black pearls in it.

then s = x +y.

It is given that, the total number of students in the class is 35. The number of girls outnumber boys by 5. Let the number of boys be x then the number of girls will be x +5.

Now, the total number of students is the sum of number of boys and girls.

x + (x +5) = 35

2x + 5 = 35

2x = 35 - 5 = 30

x = 30/2 = 15.

Therefore, the number of boys is 15 and the number of girls is 20.

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Related Questions

Find the prime factors of each of the following numbers. a. 25 b. 38 c. 36 d. 285 e. 650 f. 1,740

Answers

Gonna give u how to do it and then u sdo it for each one:

You have to try all prime numbers less or equal than the sqrt(number).

Example: 285, sqrt(285) =16.88194301613413

Try all below 16: 2, 3, 5, 7, 11 and 13:

285 / 3 = 95, 95 / 5 = 19 (19 is prime, end),

285 = 3*5*19, the prime factors are 3, 5 and 19

25 = 5*5
38=2*19
36 = 2^2 * 3^2, so 2 and 3.

That's why I let you do the last one

Answer:

The prime factors are:

a. 5 and 5 (5 × 5 = 25)

b. 2 and 19 (2 × 19 = 38)

c. 2, 2, 3, and 3 (2 × 2 × 3 × 3 = 36)

d. 3, 5, and 19 (3 × 5× 19 = 285)

e. 2, 5, 5, and 13 (2 × 5 × 5 × 13 = 650)

f. 2, 2, 3, 5, and 29 (2 × 2 × 3 × 5 × 29 = 1,740)

Step-by-step explanation:

straight from Penn

Margie and four friends are eating lunch at a restaurant. The total bill is $52.50 before tax and tip. Margie has a coupon good for $10off their total purchase. If sales tax of 6 percent is collected on the discount amount, what is the total cost after tax?

Answers

52.50....before tax and discount (don't see anything about a tip)
has a $ 10 off coupon..
52.50 - 10 = 42.50...this is the discount amount
has a 6% sales tax
0.06(42.50) = 2.55...this is the sales tax
for a total of : 42.50 + 2.55 = 45.05 <==

Determine the distance between a(-1, 2,3) and b(4,-5, 6) to the nearest tenth

Answers

hello :
 the distance between A(-1, 2,3) and B(4,-5, 6)
AB= √((4-(-1)²+(-5-2)² + (6 - 3 ) ²) =√(25 +49 +9) =  √83 ≅ 9.11

What is the polygon being rotated to create the brown quilt block pattern?

Answers

It would be a parallelogram since if you look closely the individual shapes are indeed parallelograms.

Answer with explanation:

The pre image which is in blue color is parallelogram.

There are four blue parallelograms here,congruent to each other,each one of them when rotated by certain angle ,gives parallelogram in brown color.

When we rotate a polygon,after rotation neither the shape nor the size of polygon changes.The two shapes are congruent to each other.

The Polygon being rotated to create the brown quilt block pattern is

Option C: Parallelogram


Double vision can be the result of _________________.
Wearing glasses that are too strong
Looking directly into bright headlights Passing other cars
Eye muscles relaxed from fatigue, drugs, or alcohol
Rapid eye blinking

Answers

The answer is eye muscles relaxed from fatigue, drugs, or alcohol. Double vision is usually related with alcohol and other drugs. This is often triggered by alcohol intoxication, benzodiazepines, opioids, or certain types of drugs for seizures and epilepsy. Head injuries, like concussions, can also cause double vision. 

Final answer:

Double vision can be caused by wearing glasses that are too strong, eye muscles being relaxed from fatigue, drugs, or alcohol, or by rapid eye blinking. Nearsightedness and farsightedness are common vision defects related to the eye's focusing ability but do not usually cause double vision, which can also be a result of misalignment.

Explanation:

Double vision can be the result of several factors including wearing glasses that are too strong, eye muscles relaxed from fatigue, drugs, or alcohol, or rapid eye blinking. It is not typically caused by looking directly into bright headlights or the action of passing other cars, which are more likely to cause temporary glare or flash blindness rather than persistent double vision.

Common vision defects such as nearsightedness (myopia) and farsightedness (hyperopia) are related to the focusing ability of the eyes. Myopia occurs when the eye over-converges the rays from a distant object in front of the retina, causing distant objects to appear blurry. Hyperopia, on the other hand, happens when the eye does not converge rays from a close object sufficiently, making close objects appear blurry. Misalignment can also cause double vision, and this can be due to a variety of factors including strabismus or nerve damage. Correction of vision defects often involves the use of glasses or contact lenses with the appropriate lens power or surgery for more severe cases.

Help Please!!!!!!

f(x)=5x^2+9x−4

g(x)=−8x^2−3x−4

Find (f+g)(x)

My Options Are...:
a. 3x^2+6x−8
b. −3x^3+6x^2−8x
c. −3x^4+6x^2−8
d. −3x^2+6x−8

Answers

f+g(x)=5x^2+9x-4-8x^2-3x-4
Combine like terms
f+g(x)=-3x^2+6x-8
Final answer: D

If isosceles triangle ABC has a 130° angle at vertex B, which statement must be true?
m∠A = 15° and m∠C = 35°
m∠A + m∠B = 155°
m∠A + m∠C = 60°
m∠A = 20° and m∠C = 30°.

Answers

isocolese triangle has 2 angles of same length

all angles in a triangle add to 180

so
if the angles are m∠A, m∠B, m∠C, then
either m∠A=m∠B or m∠B=m∠C or m∠A=m∠C

anyway

so if we assume that vertex B is the one that has a twin then
130+130+?=180
260+?=180
?=-80
false, we can't have a negative angle measure

so 130 must be the odd one

?+?+130=180
2?+130=180
2?=50
?=25

so
m∠A=m∠C=25°

let's test the 2nd answer choice
m∠A+m∠B=25+130=155, yep

test 3rd
m∠A+m∠C=25+25=50≠60, nope
not 3rd one



so answer is 2nd statement
m∠A + m∠B = 155°

If 35% of a natural area is to be developed, leaving 500 acres untouched, how many acres are to be developed?

Answers

Answer:

Area to be developed = 269.23 acres

Step-by-step explanation:

Let there is A acres natural area to be developed.

If 35% of A acres is developed then untouched area will be (100 - 35 = 65%)

Now it has been given in the question that 65% of A (untouched area) = 500 acres

[tex]A.\frac{65}{100}=500[/tex]

[tex]A=\frac{500}{0.65}=769.23[/tex]

So area of the natural field = 769.23 acres

Now 35% of the natural area which is to be developed = A×35%

[tex]=769.23.\frac{35}{100}=(769.23)(.35)=269.23[/tex]

Area of the natural area to be developed is 269.23 acres

The number of acres that are to be developed is 269 acres.

Number of acres

Using this formula

Number of acres=(Number of acres untouched/(100%-Percentage of natural area)×Percentage of natural area

Let plug in the formula

Number of acres=500 acres/(100%-35%)×35%

Number of acres=(500 acres/65%)×35%

Number of acres=769.23×35%

Number of acres=269 acres

Inconclusion the number of acres that are to be developed is 269 acres.

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He nine ring wraiths want to fly from barad-dur to rivendell. rivendell is directly north of barad-dur. the dark tower reports that the wind is coming from the west at 68 miles per hour. in order to travel in a straight line, the ring wraiths decide to head northwest. at what speed should they fly (omit units)?

Answers

This problem is better understood with a given figure. Assuming that the flight is in a perfect northwest direction such that the angle is 45°, therefore I believe I have the correct figure to simulate the situation (see attached).

 

Now we are asked to find for the value of the hypotenuse (flight speed) given the angle and the side opposite to the angle. In this case, we use the sin function:

sin θ = opposite side / hypotenuse

sin 45 = 68 miles per hr / flight

flight = 68 miles per hr / sin 45

flight = 96.17 miles per hr

What is the value of 35+20/5-4*7
11
49
245
35
Hellllpp :)

Answers

35+20/5-4*7 = 35 + (20/5) - (4*7)
= 35 + 4 - 28 = 11

The answer is 11
Follow the order of operations or PEMDAS. P for parentheses, E for exponents, M and D for multiplication and division (do these left to right and NOT all multiplication before division), then A and S are for addition and subtraction... Also do these left to right. So
35 + 20/5 - 4×7 =
35 + 4 - 28 =
39 - 28 =
11

what are the roots of the polynomial equation x3-7x=6x-12? Use a graphing calculator and a system of equations.

Answers

x3-7x=6x-12
x3-7x-6x+12=0
x3-13x+12=0
(x-1)(x2+x-12)=0
Calculate delta of the second bracket:
delta = 1+4*12=49
sqrt(delta)=sqrt(49)=7
x_1=(-1-7)/2=-4
x_2=(-1+7)/2=3

(x-1)(x+4)(x-3)=0

Answear:
Roots: x=1, x=-4, x=3.

The roots of the polynomial equation x³ - 7x = 6x - 12 is x = 1, 3, -4 and graph is shown in the picture.

What is polynomial?

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have a polynomial equation:

x³ - 7x = 6x - 12

[tex]\rm x^3-7x+12=6x[/tex]

x³ - 13x + 2 = 0

(x - 1)(x -3)(x + 4) = 0

x = 1, 3, -4

Thus, the roots of the polynomial equation x³ - 7x = 6x - 12 is x = 1, 3, -4 and graph is shown in the picture.

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During a recent snowstorm in red hook ny Jaime notice that there were 4 inches of snow on the ground at 3:00p.m and there were 6 inches of snow on the ground at 7:00p.m. If she were to graph these data what does the slope of the line connecting these two point represent in the context of this problem

Answers

the slope of the line should be the amount of snow per hour

What is the equation of a line that has a slope of -5 and passes through the point (0, 2)?

Answers

The equation is [tex]y = -5x + 2[/tex]. This is because the slope form is y = mx + b, and if -5 is the slope, -5 = m. 2 is the y-intercept, and the y-intercept is b.

what level of measurement is qualitative? Nominal? Ordinal? Interval? Or ration?

Answers

interval.............................


The level of measurement which is qualitative is nominal.
It is the only level of measurement which is only qualitative, whereas ordinal can be either qualitative or quantitative (depending on data), and interval and ratio can only be quantitative.
The term qualitative refers to the fact that non-numerical entries are used, meaning there are no numbers, and the word nominal refers to the Latin word for nouns, or words, which is why that is the correct answer. The rest of the options use numbers, but nominal doesn't.

Write cos 53 degrees in terms of sine.

Answers

cos(x) = sin(90 - x)
cos(53) = sin(90 - 53)
cos(53) = sin(37)

The value of cos 53 degrees in terms of sine is,

⇒ sin 37 degree

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

We have to given that;

⇒ cos 53 degree

Hence, We can change it into sine as;

⇒ cos 53 degree

⇒ sin (90 - 53)

⇒ sin 37 degree

Thus, The value of cos 53 degrees in terms of sine is,

⇒ sin 37 degree

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Find all solutions to the equation in the interval [0, 2π). cos 2x - cos x = 0

Answers

this is the concept of algebra, to solve the expression we proceed as follows;
cos 2x-cosx=0
cos 2x=cosx
but:
cos 2x+1=2(cos^2x)
thereore;
from:
cos 2x=cos x
adding 1 on both sides we get:
cos 2x+1=cos x+1
2(cos^2x)=cosx+1
suppose;
cos x=a
thus;
2a^2=a+1
a^2-1/2a-1/2=0
solving the above quadratic we get:
a=-0.5 and a=1
when a=-0.5
cosx=-0.5
x=120=2/3π
when x=1
cos x=1
x=0
the answer is:
x=0 or x=2/3π

Answer:

The other answer is correct here except it is missing the answer 4pi/3

other wise its correct. The answers are 0, 2pi/3, and 4pi/3

Step-by-step explanation:

see previous answer

A hyperbola centered at the origin has a vertex at (3, 0) and a focus of the hyperbola is located at (9, 0). What are the equations of the directrices?
x = ±

Answers

Final answer:

To find the equations of the directrices for a hyperbola centered at the origin with a vertex at (3, 0) and a focus at (9, 0), we use the formula x = ±a/e. The hyperbola's directrices are x = ± 1.

Explanation:

The student asked about the equations of the directrices for a hyperbola that is centered at the origin, with a vertex at (3, 0) and a focus at (9, 0). A hyperbola has two directrices, and each is a line that is perpendicular to the transverse axis and equidistant from the center as the foci are, but on the opposite side. The equation of a directrix can be found using the formula x = ±a/e, where 'a' is the distance from the center to the vertex and 'e' is the eccentricity, which is the ratio of the distance from the center to a focus (c) over 'a'.

In this case, the hyperbola is aligned along the x-axis. Given a vertex at (3, 0), it implies that 'a' is equal to 3. Since the focus is at (9, 0), it suggests 'c' is equal to 9. The eccentricity 'e' can be found by e = c/a, which is 9/3 = 3. Using the directrix formula x = ±a/e, the two directrices of the hyperbola would be x = ±(3/3), which simplifies to x = ± 1.

A coin collector bought a set of coins for $500, and then sold the set for $850, making a profit of $50 per coin. how many coins were in the set?

Answers

For this case, the first thing we must do is calculate the total profit.

We have then:

[tex] P = 850 - 500 [/tex]

[tex] P = 350 [/tex]

Then, we look for the number of coins.

For this, we need the total profit (which we already calculate) and the amount of profit per coin.

We have then:

[tex] N = \frac{350}{50} [/tex]

[tex] N = 7 [/tex]

Answer:

The amount of coins that was on the set is:

[tex] N = 7 [/tex]

Final answer:

The coin collector bought and sold a set of coins, making a total profit of $350. Dividing this profit by the $50 profit per coin reveals that there were 7 coins in the set.

Explanation:

The coin collector made a profit of $50 per coin by selling a set of coins. To find out how many coins were in the set, we need to calculate the total profit made from selling the coins and then divide that by the profit per coin.

The total profit is the selling price minus the buying price, so $850 - $500 = $350. If the collector made $50 profit per coin, then the number of coins in the set can be found by dividing the total profit by the profit per coin: $350 / $50 per coin = 7 coins.

Match the pairs of values of f(x) and g(x) with the corresponding values of h(x) if h(x) = f(x) ÷ g(x).

Screenshot of the tiles below

(Please help)

Answers

1)f(x)/g(x)=(x^2-9)/(x-3)=x+3
2)f(x)/g(x)=x^2-4x+3/x-3=x+1
3)f(x)/g(x)=x^2+4x-5/x-1=x+5
4)f(x)/g(x)=x^2-16/x-4=x+4

The We have given that the pairs of values of f(x) and g(x) with the corresponding values of h(x) s given below.

(x^2-9)/(x-3)

x^2-4x+3/x-3

x^2+4x-5/x-1

x^2-16/x-4

We have to match the pairs  of values of f(x) and g(x) with the corresponding values of h(x) if h(x) = f(x) ÷ g(x).

What is the function?

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.

1)f(x)/g(x)=(x^2-9)/(x-3)=x+3

2)f(x)/g(x)=x^2-4x+3/x-3=x+1

3)f(x)/g(x)=x^2+4x-5/x-1=x+5

4)f(x)/g(x)=x^2-16/x-4=x+4

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Which polynomial is a perfect square trinomial?

A. 36x²-18x-9
B. 4a²-28a-49
C. 25b²-40b+16
D. 4x²-6x+9

Answers

ANSWER: C
because of how the multiples of 25 are 5 and 5 and the multiples of 16 can be -4,-4...
 5*-4+5*-4=-40
(5x-4)²= ((5²)x²-40x+(-4²))=25x²-40+16
C
//Brief explanation
Using a discriminant (b^2 - 4ac), for a perfect square the discriminant = 0.
For A the discriminant is >0 (1620)
For B the discriminant is >0 (1568)
For C the discriminant = 0
For D the discriminant is < 0 (-108)

Solve 152x = 36. Round to the nearest ten-thousandth.



A. 0.6616


B. 2.6466


C. 1.7509


D. 1.9091

Answers

x = 36 / 152 = 0.2368

Since no one was getting the the answer that is on the assignment I plugged  the problem into an algebra calculator, and got A 0.6616

Fill in the missing term in the equation. x/x^2-4x+4-x/x^2-3x+2=?/(x-2)^2(x-1)

Answers

           x                            x
-----------------  -  --------------------
x^2 -4x + 4            x^2-3x+2

           x                            x
= ----------------  -  --------------------
    (x -2)^2            (x - 2)(x - 1)

        x (x-1)  - x(x +2)                       
= ----------------------------
          (x -2)^2 (x - 1)

      x^2 -x -x^2 - 2x                    
= --------------------------
      (x -2)^2 (x - 1)

           -3x                    
= -----------------------
      (x -2)^2 (x - 1)

answer 
missing term in the equation: -3x

Answer:

The missing term is x.

Step-by-step explanation:

Given expression is,

[tex]\frac{x}{x^2-4x+4}-\frac{x}{x^2-3x+2}------(1)[/tex]

Since, [tex]x^2-4x+4=(x)^2-2\times (2x)+(2)^2[/tex]

[tex]\implies x^2-4x+4=(x-2)^2------(2)[/tex]    ( (a-b)² = a² - 2ab + b² )

Now,   [tex]x^2-3x+2=x^2-2x-x+2[/tex]    ( By middle term splitting )

[tex]=x(x-2)-1(x-2)[/tex]

[tex]\implies x^2-3x+2=(x-1)(x-2)------(3)[/tex]

From equation (1), (2) and (3),

[tex]\frac{x}{x^2-4x+4}-\frac{x}{x^2-3x+2}=\frac{x}{(x-2)^2}-\frac{x}{(x-2)(x-1)}[/tex]

[tex]=\frac{x(x-1)-x(x-2)}{(x-2)^2(x-1)}[/tex]

[tex]=\frac{x(x-1-x+2)}{(x-2)^2(x-1)}[/tex]

[tex]=\frac{x(1)}{(x-2)^2(x-1)}[/tex]

[tex]=\frac{x}{(x-2)^2(x-1)}[/tex]

Hence, the missing term in the equation is x.

PLEASE HELP ASAP 20 POINTS PLUS BRAINIEST!

Find the greatest possible error for each measurement.

3 ft

a.
1 ft
b.
1/2 ft
c.
1/4 c
d.
1/6 c

Answers

the greatest possible error when measuring in feet is 1/2 foot

 answer is B


PLEASE HELP!!! Evaluate Show your work.

Answers

well first you have to distribute the sqrt (7x). So:
sqrt (7x)(sqrt (x) - 7sqrt (7)) =
sqrt (7x) * sqrt (x) - sqrt (7x) * 7sqrt (7)

now if you have two things multiplied by each other and they are both under the sqrt sign then we can multiply them by each other But we have to leave them under the sqrt sign. so this becomes:
sqrt (7x * x) - 7sqrt (7x *7) =
sqrt (7x^2) - 7sqrt (7^2 *x)

in the first sqrt we have x^2 And in the second we have 7^2. The sqrt of anything squared is the same number without the square. So sqrt (x^2) becomes x and sqrt(7^2) becomes 7. So now we have:
x * sqrt (7) - 7 * 7sqrt (x) =
xsqrt (7) - 49sqrt (x)

Answer:

[tex]\sqrt{7x}(\sqrt{x}-7\sqrt{7})\Rightarrow x\sqrt{7}-49\sqrt{x}[/tex]

Step-by-step explanation:

Given: [tex]\sqrt{7x}(\sqrt{x}-7\sqrt{7})[/tex]

Simplify the expression.

[tex]\Rightarrow \sqrt{7x}(\sqrt{x}-7\sqrt{7})[/tex]

Distribute  [tex]\sqrt{7x}[/tex] over parentheses

[tex]\Rightarrow \sqrt{7x}\cdot\sqrt{x}-\sqrt{7x}\cdot7\sqrt{7}[/tex]

[tex]\Rightarrow \sqrt{7x^2}-7\sqrt{7^2x}[/tex]

square term take out from square root

[tex]\Rightarrow x\sqrt{7}-7\cdot 7\sqrt{x}[/tex]

[tex]\Rightarrow x\sqrt{7}-49\sqrt{x}[/tex]

[tex]\sqrt{7x}(\sqrt{x}-7\sqrt{7})\Rightarrow x\sqrt{7}-49\sqrt{x}[/tex]

In the triangle below, determine the value of a.

Answers

tan42°=a/14

a=14tan42°

a≈12.61 (to the nearest hundredth of a unit)
You have to use tangent (ratio of sine and cosine).

Use tangent to find the opposite to the adjacent side (14) from the angle (in this case a).

a = 14*tan(42°) = 14*0,9 = 12,6 (approssimatively)

I NEEED HELPOPOP!!!!

PLEASE ASSIT ME FOR TWO MATH QUESTIONS

Answers

Hello,

The only function in B has an inverse which is also a function (one x must have only 0 or 1 image (y)) for the first picture

Answer D for the second picture.


Answer B

Which of the following equations describes the graph shown?

A.) y = x+2

B.) y = -x - 2

C.) y = x - 2

D.) y = -x + 2

Answers

By looking at the slant at which the line is going, you can tell if the line is negative or positive. This line is negative, so that removes two of the choices. By looking at where the line intersects the y-axis determines if its negative or positive. So the answer is D

Answer: The correct option is (D) y = -x + 2.

Step-by-step explanation:  We are to select the correct equation that describes the given graph.

We can see that the graph is a straight line passing through the points (0, 2) and (1, 1).

So, the slope of the line will be

[tex]m=\dfrac{2-1}{0-1}=-1.[/tex]

Therefore, the equation of the line with slope m = -1 and passing through the point (0, 2) is given by

[tex]y-2=m(x-0)\\\\\Rightarrow y-2=-1\times x\\\\\Rightarrow y-2=-x\\\\\Rightarrow y=-x+2.[/tex]

Hence, the equation that describes the graph is  y = -x + 2.

Thus, (D) is the correct option.

Find the missing factor x(y+6)-5(y+6)( ) (y+6)

Answers

We are given the equation:

x (y + 6) – 5 (y + 6)                           ---> 1

We are to look for the missing factor in the equation: (_) (y + 6) from the given values.

Knowing the rules of the polynomial multiplicity, we can have an idea that the given equation can also be written in the form of:

(x – 5) (y + 6)                                      ---> 2

wherein the whole factor (y + 6) was simply distributed to the values in the factor (x – 5). To prove that equations 1 and 2 are equal:

x (y + 6) – 5 (y + 6) = (x – 5) (y + 6)

Expanding:         

x y + 6 x - 5 y – 30 = x y + 6 x – 5 y – 30     (EQUAL!)

 

Therefore our missing factor is:

(x – 5)

What is the equation of the line that is parallel to the line y = x + 4 and passes through the point (6, 5)?

Answers

y-5=1(x-6)

y-5=x-6

y=x-1 is parallel to y=x+4

what is the degree of 12x^4-8x+4x^2-3

Answers

dat is 4th degree because x is raised to the 4th power and that is the highest power of the placholder

4th degree

Answer:

The degree of [tex]12x^4-8x+4x^2-3[/tex] is 4.

Step-by-step explanation:

The given polynomial is [tex]12x^4-8x+4x^2-3[/tex]

This polynomial is of one variable which is x. Hence, the degree of the polynomial is the highest exponent.

For the given polynomial, the highest exponent is 4.

Therefore, the degree of [tex]12x^4-8x+4x^2-3[/tex] is 4.

Other Questions
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