Answer:
120
Step-by-step explanation:
There are 5 choices for the first duckling, 4 for the second, 3 for the third, 2 for the fourth and 1 for the fifth meaning that the answer is 5 * 4 * 3 * 2 * 1 = 5! = 120.
During the 2010 baseball season, the number of wins for three teams was three consecutive integers. Of these three teams, the first team had the most wins. The last team had the least wins. The total number of wins by these three teams was 252. How many wins did each team have in the 2010 season?
Answer: 83,84 and 85
Step-by-step explanation:
Let the number of win for the teams be x, x+1 and x+2 respectively. From the question, we are told that the total number of wins by these three teams was 252 for the 2010 season. Therefore,
x+x+1+x+2 = 252
3x+3 = 252
3x = 252 - 3
3x = 249
x = 249/3
x = 83
This means that the team with least wins has 83 while the second team has 84 and the team with most wins has 85.
Point A is the incenter of ΔDEF. Point A is the incenter of triangle D E F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. Angle L D A is 27 degrees. Angle A D M is (3 n minus 6) degrees. What is the value of n? 7 11 14 15
Answer:
The correct option is;
11
Step-by-step explanation:
The incenter is the point where the interior angle bisectors of the triangle meet, hence the interior angles are each bisected into two by the segments DA, EA, and FA respectively
Given that point A is the incenter of ΔDEF, we have;
∠FDE = ∠XDY is bisected by DA which gives ∠XDA = ∠YDA
∠LDA = ∠XDA = 27
∠MDA = ∠YDA = 3··n - 6
Therefore, 27 = 3·n - 6
3·n = 27 + 6 = 33
n = 33/3 = 11°
Answer:
11
Step-by-step explanation:
edge2020
What is: x^2+2x-35? Please help
Answer:
(x +7)(x - 5)
Step-by-step explanation:
x² + 2x - 35
- 35 = 7*(-5)
2 = 7 + (-5)
x² + 2x - 35 = (x +7)(x - 5)
Which sentence below is true? A. All trapezoids are squares. B. All parallelograms are squares. C. All squares are rectangles. D. All rectangles are squares.
Answer:
b
Step-by-step explanation:
Mr. Smith tells you that a right triangle has a hypotenuse of 19 and a leg of 10. He asks you to find the other leg of the triangle. What is your answer?
Answer: Since it is not a perfect square my answer is the square root of 261 or 16.16 which is rounded to the nearest hundredth.
Step-by-step explanation:
10^2 + b^2 = 19^2
100 + b^2 = 361
-100 -100
b^2 = 261
b= [tex]\sqrt{261}[/tex]
I need help with this question
Answer:
133
Step-by-step explanation:
Answer is 133
[tex]answer \\ = 133 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
5. A square room is covered by a number of whole rectangular slabs of sides 60cm and
42cm.
a) Find the area of the slab.
(2 marks)
What is the difference?
StartFraction x + 5 Over x + 2 EndFraction minus StartFraction x + 1 Over x squared + 2 x EndFraction
Answer:
[tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x+5}{x+2}[/tex] - [tex]\frac{x+1}{x^2+2x}[/tex] ← factor denominator
= [tex]\frac{x+5}{x+2}[/tex] - [tex]\frac{x+1}{x(x+2)}[/tex]
We require the fractions to have a common denominator.
Multiply numerator/denominator of first fraction by x
= [tex]\frac{x(x+5)}{x(x+2)}[/tex] - [tex]\frac{x+1}{x(x+2)}[/tex]
Subtract terms on numerator leaving the common denominator
= [tex]\frac{x^2+5x-x-1}{x(x+2)}[/tex]
= [tex]\frac{x^2+4x-1}{x(x+2)}[/tex]
Answer:
a on edge
Step-by-step explanation:
Solve for n.
2/3 (1 + n ) = -1/2n
Answer: -4/7
Step-by-step explanation:
2/3 (1 + n ) = -1/2n
2/3 + 2/3n = -1/2n
Multiply both sides by 6
4 + 4n = -3n
4n + 3n = -4
7n = -4
Divide both sides by 7
n = -4/7
Answer:
Answer above its explained fully
Par 3 find the missing sides for the 30 60 90 triangles. Please show work for each.
7
tan(60) = h/40
h = 40 x tan(60)
h = 40√3
cos(60) = 40/r
r = 40/cos(60)
r = 80
8.
tan(60) = p/82
p = 82 x tan(60)
p = 82√3
cos(60) = 82/t
t = 82/cos(60)
t = 164
9.
tan(60) = 22√3 /x
x = 22√3 /tan(60)
x = 22
sin(60) = 22√3 /k
k = 22√3 / sin(60)
k = (20/3)√3
the first car costs $90 to rent, and because of its fuel consumption rate, there’s an additional cost of $0.50 per kilometers driven. How much is it for 500 kilometers
Answer:
It would be $340 (with rental cost)
Without the rental cost it would be $250
Step-by-step explanation:
You have to multiply $0.50 with 500 since you drove 500 kilometers. That gives you $250. When you add the $90 to rent, you get $340.
Equation: 90 + .05k
k= kilometers
Solve the equation A = bh for b.
Answer:
You have to divide both sides by h, in order to make b the subject :
[tex]A = bh[/tex]
[tex]A \div h = bh \div h[/tex]
[tex] \frac{A}{h} = bh \times \frac{1}{h} [/tex]
[tex] \frac{A}{h} = b[/tex]
[tex]b = \frac{A}{h} [/tex]
Answer:
b=a/h
Step-by-step explanation:
Rewrite the equation as bh=a
Divide each term by h and simplify
b=a/h
Which graph represents the function f(x) =three-halves(2)x? On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 1) and goes through (1, 3), (2, 9). On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 2) and goes through (1, 3), (2, 4.5), (3, 7) On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 1) and goes through (1, 2), (2, 4), (3, 8). On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 1.5) and goes through (1, 3), (2, 6).
Answer:
its the fourth one on edg
Step-by-step explanation:
Answer:
The last option :)
Step-by-step explanation:
Find the slope of the line y=5x+4
Answer:
Slope = 5
Step-by-step explanation:
y = mx + b
m = slope
Slope = 5
Answer:
5
Step-by-step explanation:
Since this is written in slop-intercept form (y = mx + b where m is slope and b is y-int.) the slope is 5.
Find the volume of the pyramid.
Answer:
62.5 in cubed
Step-by-step explanation:
The formula is l*w*h divided by 3
5*5= 25
and 25*7.5= 187.5
187.5/3= 62.5
Pls mark brainliest!!
Answer:
[tex]62.5 {in}^{3} [/tex]
Step-by-step explanation:
[tex]v = \frac{whl}{3} \\ = \frac{5 \times 5 \times 7.5}{3} \\ = 62.5 {in}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
what is the answer to this please?
-3(x+2)+5x = -9
Answer:
[tex]-3(x+2)+5x=-9\\-3x-6+5x=-9\\-3x+5x=-9+6\\2x=-3\\x=-\frac{3}{2}[/tex]
I NEED AN ANWSER ASAP,, PLS AND THANK YOUU When finding a pattern for the sum of two times a number, n, and four less than three times the same number, Cole does the following calculation and decides the pattern is 3n. Show why he is wrong. and write the correct pattern to coles work
n=2
2(2)+3(2)-4=6
Answer: find the answer in the explanation
Step-by-step explanation:
Two times a number, n that is, 2n
and four less than three times the same number, that is, 3n - 4
Cole is wrong for not interpreting the two statement differently into two separate expression.
Finding the sum of the two expression will be
2n + 3n - 4 = 5n - 4
So, if n = 2
Substitute 2 for n in the expression 5n -4
5(2) - 4
10 - 4 = 6
The solutions to the inequality y ≤ −x + 1 are shaded on the graph. Which point is a solution?
It should be B children
Bye giggity giggity gamers! nyah :3
Use the identity (x^2+y^2)^2=(x^2−y^2)^2+(2xy)^2 to determine the sum of the squares of two numbers if the difference of the squares of the numbers is 5 and the product of the numbers is 6.
Answer:
Step-by-step explanation:
(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2
Adding and substracting 2x^2y^2
We get
(x^2+y^2)^2=(x^2)^2+2x^2y^2+(y^2)^2 +2x^2y^2-2x^2y^2
And we know a^2-2ab+b^2=(a-b)^2
So we identify (x^2)^2 as a^2 ,(y^2)^2 as b^2 and -2x^2y^2 as - 2ab. So we can rewrite (x^2+y^2)^2=(x^2 - y^2)^2 + 2x^2y^2 + 2x^2y^2= (x^2 - y^2)^2+4x^2y^2= (x^2 - y^2)^2+2^2x^2y^2
Moreever we know (a·b·c)^2=a^2·b^2·c^2 than means 2^2x^2y^2=(2x·y)^2
And (x^2+y^2)^2=(x^2 - y^2)^2 + (2x·y)^2
the slope intercept form of the equation of the line that passes through point (-3,8) is y=-2/3x+6. what is he point-slope form of the equation for this line
Answer:
2x + 3y = 18
Step-by-step explanation:
y=-2/3x+6 needs to be re-written as 3y = -3(2/3)x + 18 (without fractions). This result simplifies to 3y = - 2x + 18, which can be re-ordered as
2x + 3y = 18 (equation in standard form)
Allan built a doghouse and he wanted the house to have an area of 24 square feet. He also wanted the width to be 2/3 the length. What are the dimensions of the doghouse?
Answer:
Dimension of doghouse is 4ft by 6ft
Step-by-step explanation:
Here, we are interested in calculating the dimensions of the doghouse.
Let the length of the doghouse be x, this means that the width would be 2/3 of x which equals 2x/3
Now, the area of rectangle is L * B
x * 2x/3 = 24
2x^2 = 3 * 24
2x^2 = 72
diverse both sides by 2
x^2 = 36
hence x = 6ft
The width would be 2/3 * 6 = 12/3 = 4 ft
Simplify the following fraction:147/231
Answer:
7/11
Step-by-step explanation:
Both the numerator and denominator are divisible by 21.
so:
147 divided by 21 = 7
231 divided by 21 = 11.
When they are re-assembles to a fraction = 7/11
Hope this helps.
Please mark brainiest
doughnuts are sold in bags and cartons.
A bag holds 4 doughnuts and a carton holds 10 doughnuts.
he buys a total of T doughnuts.
Write down a formula for T in terms of B and c
Answer:
T=(b+4)+(c+10)
Sorry but I really don’t know but I tried
which graph shows the solution to the system of linear inequalities x-4y< 4 y < x+1
Answer:
Third graph in the image attached
Step-by-step explanation:
Let's rewrite the first inequality:
x - 4y < 4
-4y < 4 - x
4y > x - 4
y > x/4 - 1
We can draw the line y = x/4 - 1, then all values above this line will be solution for this inequality (check first graph in the image attached)
Now, for the second inequality, we have:
y < x+1
We can draw the line y = x + 1, then all values below this line will be solution for this inequality (check second graph in the image attached)
Now, if we combine these solutions, we have the third graph in the image attached.
The crossing point can be found making the value of y from one line equal the value of y from the other line:
[tex]x/4 - 1 = x + 1[/tex]
[tex]x - x/4 = -2[/tex]
[tex]3x/4 = -2[/tex]
[tex]3x = -8[/tex]
[tex]x = -8/3[/tex]
[tex]y = x + 1 = -5/3[/tex]
The crossing point is (-8/3 , -5/3)
Answer:
its c
Step-by-step explanation:
edge
Convert the fraction
103
7497
to an equivalent percentage.
Report your answer accurate to one decimal place.
Answer:
1.4
Step-by-step explanation:
We need to convert 103/7497 into a percentage.
All we have to do is multiply the fraction by 100:
103/7497 * 100 = 1.37
To one decimal place, the equivalent fraction is 1.4
Do the table and graph represent the same function?
Find the mean of the following data set: (Round to the nearest 10th) 2,3,10,15,20,24,30
Answer:
2+3+10+15+20+2+30=82
82/8=10.25
Step-by-step explanation:+10.25
Answer:
The answer is 14.9
Step-by-step explanation:
First I added 2,3,10,15,20,24,30 then divided it by 7.
not sure on this one
Answer:
3.5
Step-by-step explanation:
LJ/sin 23° = 9/sin 89°
LJ/0.39 = 9/0,99
LJ = (9*0.39)/0.99 = 3.517
LJ ≈ 3.5
Answer:
3.5
Step-by-step explanation:
∠K is about 3 times less than ∠J
so opposite sides have roughly same ratio
Only the last option, 3.5 is close to the length 3 times less than 9
(05.09A LC)
A pair of parallel lines is cut by a transversal, as shown below:
A pair of parallel lines is cut by a transversal. The interior angle made on the left by the intersection of the upper parallel line and the transversal is labeled as x. The interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as y.
Which of the following best represents the relationship between angles x and y?
A) x = y
B) x = 180°-y
C) y = 180°-6
D) x = 2y
Answer:
A
Step-by-step explanation:
Because these angles are alternate interior angles and because alternate interior angles of parallel lines are equal, x = y.
Which of the following are accepted without proof in a logical system check all that apply
Answer:
postulates, common notions, and axioms