There were 8 fewer boys than girls in Mr. Taylor’s Algebra class. If he had 40 pupils, how many were girls?

Answers

Answer 1

Answer:

There are 24 girls in the class.

Step-by-step explanation:

Write out the problem like this:

40 = (g-8)+(g)

40 is the total amount of students. (g) is the unknown number of girls in the class, and (g-8) is the amount of boys since there are 8 fewer boys than girls.

First, eliminate the parentheses.

40 = g - 8 + g

Next, combine like terms. Both g's are positive, to we get 2g

40 = g - 8 + g

40 = 2g - 8

Then, add 8 to both sides of the equation, because the 8 that was already present is negative and needs to be canceled out.

40 + 8 = 2g - 8 + 8

48 = 2g

Lastly, divide both sides by 2, so that the (g) is by itself.

40/2 = 24, 2g/2 = g

g=24

This can be tested as the correct answer by subtracting 8 from 24 to count the boys...

24 - 8 = 16

...and adding the two amounts together to get the total amount of students.

24 + 16 = 40

There are 24 girls in the class.


Related Questions

What is the surface area of the cylinder with height 7 cm and radius 3 cm? Round your answer to the nearest thousandth.

Answers

Answer:

188.52cm^2

Step-by-step explanation:

Given data

Height= 7cm

Radius= 3cm

The expression for the surface area of a cylinder is given as

Surface area=  2πr (h + r)

Surface area= 2*π*3 (7 + 3)

Surface area = 6π (10)

Surface area= 60*3.142

Surface area= 188.52cm^2

Hence the surface area is 188.52cm^2

Does anyone know this one !??

Answers

Answer:

I can't see what this says

Step-by-step explanation:

Solve: 121−−−√. Round to nearest tenth, if needed.

Answers

Answer:

11

Step-by-step explanation:

The square root of 121 is 11. Remember 11 to the power of 2

PLEASE HELP
IM BEGGING PLEASE

Lake Pyramid, Nevada is one of the best places in the connected 48 states to
catch trophy cutthroat trout. History shows that about 37% of guest catch a
cutthroat. Let X be a random variable that represents the first trip to Lake
Pyramid on which a guest catches a cutthroat. Let X be a random variable that
represents the first trip to Lake Pyramid on which a guest catches a cutthroat.
Find the probability that it takes the fisher no more than 4 trips to catch a
cutthroat. . *

Answers

If an event occurs 0 times (out of 4, in this case) then it does not occur at least once. So we can find the probability of it not occurring and then subtract that value from 1.

So, what are the chances of it not occurring in 1 trip?

1−.37=.63

What about not occurring in 2 trips?

(1−.37)⋅(1−.37)=.63⋅.63=.3969

Now what about not occurring in 4 trips?

.63^4 = 0.15752961

We must subtract this value from 1

(recall that what we just calculated is the probability of it not occurring, so the probability of it occurring at least once is:

1−0.15752961 = .84247039

TLDR - In 4 trips the chance of a guest catching a cutthroat once in under 4 trips in 0.84.

Can someone please help ?! Thanks !

Answers

Answer:

23

Step-by-step explanation:

The pattern is adding by 5

18+5=23

Hope this helps! :)

Answer:

23

Step-by-step explanation:

each one is 5+ its a pattern so the last one needs to be 5+ so 19 20 21 22 23

Of the 25 students who take a standardized test, the minimum score is 98 and the maximum score is 312. The mean score is 216. Standard deviation is 52. What is the number of standard deviations that includes all the data values?

Answers

Answer:

5

Step-by-step explanation:

so we can say that 5 standard deviations include all the data values.

Select the correct answer.
The length of a rectangle is 3 meters more than the width. The perimeter of the rectangle is 26 meters. If the width is b, which equation represents the situation? How many solutions will this equation have?
A.
(b + 3)(b) = 26, which has one solution
B.
2(b + 3) + 2b = 26, which has infinitely many solutions
C.
2[(b + 3) + b] = 26, which has one solution
D.
2[(b + 3) + b] = 26, which has no solution

Answers

Answer:

C

Step-by-step explanation:

Have a nice day

Answer:

C. 2[(b + 3) + b] = 26, which has one solution

Step-by-step explanation:

Please brainliest and dont forget to say thanks :)

What is the inequality for this verbal description? The value of yis less than or equal to the sum of six times the value of x and three. IN O A. y56x+ 3 O B. ys 3x + 6 O c. yz 6x+ 3 O D. y: 3x + 6 SUBMIT​

Answers

Answer:

y =< 6x + 3

you copypasta looks weird, but I would go for option c if i read this correctly

Please i need this turned in by 2:00 om so dont answer if you dont know<3
Consider the equation 1.5x+4.5y=18.

1. If we graph the equation, what is the slope of the graph?

2. Where does the graph intersect the y-axis?

3. Where does it intersect the x-axis?

Answers

Answer:

sorry i wasnt gonna type it out. im on phone

if 3 /5 of a class read 4 or more how man students read three books​

Answers

Answer:

2/5 or 40% read three books

Step-by-step explanation:

Since 3 out of 5 people read four or more books then the remnaining 2/5 people read three books

what are the measures of ∠1 and ∠2?
<3​

Answers

2 is 104,5

And

1 is 67.4

An angle measures 97.2° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

41.4º

138.6º

Step-by-step explanation:

x + (x - 97.2) = 180

2x - 97.2 = 180

2x = 277.2

x = 138.6º

x - 97.2 = 41.4º

Fifteen million four hundred and ten thousand five hundred
and sixty eight with commas​

Answers

The answer is 15,410,068

What is the converse of the conditional statement?
If x is even, then x + 1 is odd.
If x is not even, then x + 1 is not odd.
O If x + 1 is odd, then x is even.
Olf x + 1 is not odd, then x is not even.
If x is even, then x + 1 is not odd.

Answers

Its your second answer choice

Answer:

Step-by-step explanation:

it's b

Classify the following triangle check all that apply

Answers

Answer:

Option E, Acute

Option F, Scalene

Hope this helps!

Answer:

Acute & Scalene

Step-by-step explanation:

This triangle has no equal sides. Therefore, it is scalene.

Moreover, this triangle has no angles greater than or equal to 90°. Therefore, it is also acute.

what’s the product? (3x-6) (2x^2-7+1)

Answers

Answer:

0

Step-by-step explanation:

because the carrot is wrong

Answer:

Assuming you are using the zero product property, x = 2, √(3), -√(3)

Step-by-step explanation:

first I factored the (2x^2-7+1) into 2(x^2 - 3)

I also factored the (3x-6) into 3(x - 2)

Now I have the equation 6(x - 2)(x^2 - 3) = 0

I'll start with the easiest one, which is x - 2 = 0, which gives me 2

Now I solve for x^2 - 3 = 0, and I end up with two answers:

√(3) and -√(3)

So in total, x as 3 answers

Given a polyhedron with 15 faces and 32 edges, how many vertices does it have

Answers

mama ate koya bonso tatay lola

What is 8 weeks from June 30th

Answers

Answer:

The answer is25th August

There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles

Answers

Answer:

8.04672

or 8

Step-by-step explanation:

At Applebees, the average diner tips the waiter 20% of their total bill. Finn's bill was $66.50. How much money should Finn tip the waiter?

Answers

Answer:

56

Step-by-step explanation:

Answer:

13.3 US$

Step-by-step explanation:

How to find it

Written using the formula: x = 66.50 ÷ 20%

Convert the percent to a decimal.

20% ÷ 100 = 0.2.

X = 66.50 ÷ 0.2.

So 20% of 66.60 is 13.3.

From the equations below, let's find the value of x.
x=y=2z
xyz=256​

Answers

Answer:

x=8

Step-by-step explanation:

xyz=256​

x=y=2z

Replace y with x and z with x/2

x * (x) *(x/2) =256

x^3 /2 = 256

x^3 = 512

Take the cubed root of each side

(x^3) ^(1/3) = (512) ^ (1/3)

x=8

9. Express 20% as a decimal and as a fraction.

Answers

Ok as a decimal it is .20 and as a fraction it could be 2/10

Please help me solve what was the original height of the post

Answers

Answer:

2.5 is the original height

Step-by-step explanation:

Hope this helps! :)

Stacy earns $15 each week plus $.50 for each customer on her paper route. She wants to earn at least $25 each week. What equation can she use to find x, the number of customers she needs to make exactly $25

Answers

Answer:  .50x+15=25  

I hope this helps.

Line q has a slope of -8/9 , Another line r has the slope of 9/8.Are line q and line r parallel or perpendicular?

Answers

Answer:

perpendicular

Step-by-step explanation:

parallel => both lines have the same value of slope

perpendicular => the product of both slope values are -1

=> -8/9 x 9/8 = -1

If Line q has a slope of -8/9 , Another line r has the slope of 9/8.Then both lines are perpendicular but not parallel

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Two lines are parallel when the slope of two lines is same, so 1 and r are not parallel.

Two lines are said to be perpendicular when the product of two slopes is minus 1.

Line q has a slope of -8/9

Let m₁=-8/9

r has the slope of 9/8

m₂=9/8

Now let us multiply  m₁ and m₂

m₁ ×m₂

-8/9×9/8

-1

The product of slopes of q and r is -1. The lines are perpendicular.

Hence Line q and line r are perpendicular but not parallel.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Geometry
Introduction to chord lengths in a circle

Answers

Answer:

x is equal to 6

Step-by-step explanation:

in a circle the perpendicular from centre to any chord bisects the chord into 2 equal parts.

Ranking the correct answer brainliest !

Answers

Answer:

∠ 3 = 115°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 3 is an exterior angle of the triangle, then

∠ 3 = ∠ 1 + ∠ 2 = 68° + 47° = 115°

Need help on these questions ASAP DUE TOMORROW PLEASE

Answers

9514 1404 393

Answer:

  3)  D

  4)  D

  5)  B

  6)  B

Step-by-step explanation:

3) A "Pythagorean triple" is a set of 3 integers that could be the sides of a right triangle. The only triangle shown with integer side lengths is choice D.

__

5) The only triangle for which the square of the hypotenuse is the sum of the squares of the other two sides is choice D.

  11² +2² = (5√5)²

  121 + 4 = 125

__

6) The lengths of sides of each right triangle are 2/3 of those of choice D in problem 4. That is, they are a 7-24-25 triangle, multiplied by 2. That means the height is 24·2 = 48, and the area is ...

  A = 1/2bh

  A = 1/2(28 m)(48 m) = 672 m² . . . . matches choice B

__

7) The side lengths of a 30-60-90 triangle have the ratios 1 : √3 : 2. That is, the short leg is half the hypotenuse, a fact stated in A and D. Those true statements make it clear that statement B is false.

maths pi question. SEE ATTACHMENT

Answers

Answer:

r = 6cm

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

36 pi = pi r^2

Divide each side by pi

36 pi/pi = pi r^2/ pi

36 = r^2

Take the square root of each side

sqrt(36) = sqrt(r^2)

6 =r

The radius is 6 cm

r = 6cm

Answer:

radius, r = 6cm

Step-by-step explanation:

[tex]Area = 36 \pi \\\\\pi r^2 = 36 \pi\\r^2 = 36\\r = \sqrt{36} = 6 \ cm[/tex]

If two fair dice (with faces numbered 1,2,3,4,5,6) are tossed together, what is the probability that the total score will be a perfect cube?

Answers

Answer:

[tex]\frac{5}{36}[/tex]

Step-by-step explanation:

There are [tex]6^2=36[/tex] non-distinct sums that can be achieved when rolling two fair sided dice.

The smallest of these sums is [tex]1+1=2[/tex] and the largest of these sums is [tex]6+6=12[/tex]. Within this range, there exists only one perfect cube, [tex]2^3=8[/tex].

Count how many ways we can achieve a sum of 8 with two dice:

[tex]\begin{cases}2+6=8,\\6+2=8,\\3+5=8, \\5+3=8,\\4+4=8\end{cases}\\\\\implies \text{5 ways}[/tex]

Thus the probability the total score (sum) will be a perfect cube when rolling two fair six-sided dice is equal to [tex]\boxed{5/36}[/tex]

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