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.
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?
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:
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what are the measures of ∠1 and ∠2?
<3
9. Express 20% as a decimal and as a fraction.
maths pi question. SEE ATTACHMENT
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]
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.
Answer:
Step-by-step explanation:
it's b
Solve: 121−−−√. Round to nearest tenth, if needed.
Answer:
11
Step-by-step explanation:
The square root of 121 is 11. Remember 11 to the power of 2
Classify the following triangle check all that apply
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.
There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles
Answer:
8.04672
or 8
Step-by-step explanation:
if 3 /5 of a class read 4 or more how man students read three books
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
Does anyone know this one !??
Answer:
I can't see what this says
Step-by-step explanation:
What is the surface area of the cylinder with height 7 cm and radius 3 cm? Round your answer to the nearest thousandth.
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
Given a polyhedron with 15 faces and 32 edges, how many vertices does it have
mama ate koya bonso tatay lola
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
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 :)
Fifteen million four hundred and ten thousand five hundred
and sixty eight with commas
what’s the product? (3x-6) (2x^2-7+1)
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
Please help me solve what was the original height of the post
Answer:
2.5 is the original height
Step-by-step explanation:
Hope this helps! :)
An angle measures 97.2° less than the measure of its supplementary angle. What is the measure of each angle?
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
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. . *
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.
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?
Answer:
5
Step-by-step explanation:
so we can say that 5 standard deviations include all the data values.
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
Answer: .50x+15=25
I hope this helps.
At Applebees, the average diner tips the waiter 20% of their total bill. Finn's bill was $66.50. How much money should Finn tip the waiter?
Answer:
56
Step-by-step explanation:
Answer:
13.3 US$
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.
Can someone please help ?! Thanks !
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
Need help on these questions ASAP DUE TOMORROW PLEASE
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.
From the equations below, let's find the value of x.
x=y=2z
xyz=256
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
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
Answer:
y =< 6x + 3
you copypasta looks weird, but I would go for option c if i read this correctly
Ranking the correct answer brainliest !
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°
Geometry
Introduction to chord lengths in a circle
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.
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?
Answer:
sorry i wasnt gonna type it out. im on phone
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?
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]
What is 8 weeks from June 30th
Answer:
The answer is25th August