Answers
Answer:
D. Fundamental Principle of CountingD. 32B. 12 waysD. 24B. 18Step-by-step explanation:
Q1
The Fundamental Principle of Counting states that we can find the total number of ways that two or more separate tasks can happen by multiplying the number of ways each task can happen separately.Q2
No. of ways = 2⁵ = 32Q3
No. of ways = 4 x 3 = 12 waysQ4
⁴P₃ = 4! / 1! = 4 x 3 x 2 = 24Q5
No. of ways = 2 x 3 x 3 = 18Related Questions
PLS HELP ASAP
Solve the following system of equations.
x + y = 3
2x + 2y = 6
A) (1.5, 1.5)
B) (0, 3)
C) infinite number of solutions
D) no solution
Answers
Answer:
C.
Step-by-step explanation:
x + y = 3
2x + 2y = 6
Multiply the first equation by 2:
2x + 2y = 6
This is the same equation as the second one.
So there are an infinite number of solutions.
Find a pair of values that make the linear equation y=12x−24 a true statement by filling in the boxes with a valid value of x and y.
Answers
Answer:
pair 1: (0, - 24)
pair 2: (1, -12)
Step-by-step explanation:
y = 12x − 24
A pair of values that make the linear equation true:
the easiest value is always 0!!
if x = 0 than plug it in to find y
y = 12(0) − 24 → y = -24
so the pair is (0, - 24)
if x = 1 than plug it in to find y
y = 12(1) − 24 → y = 12 - 24
so the pair is (1, -12)
If A'B' is 8 find the length of AB.
If angle B is 40 degrees what is the measurement of B'?
If angle A is 80 degrees what is the measurement of A'?
Using AA what is the measurement of angle C?
Answers
The length of AB when A'B' is 8 is 12
The measurement of B' when angle B is 40° is also 40°
The measurement of A' when A is 80° is also 80°
The measurement of C using AB is 60°
What are similar triangles?Similar triangles are triangles that have the same angles and the ratio of their corresponding sides are equal.
Analysis:
ΔCA'B' is similar to ΔCAB.
Which means [tex]\frac{A'B'}{AB}[/tex] = [tex]\frac{CB'}{CB}[/tex] = [tex]\frac{CA'}{CA}[/tex]
A'B' = 8, CA' = 4, CA = 6
[tex]\frac{8}{AB}[/tex] = [tex]\frac{4}{6}[/tex]
4AB = 8 X 6
AB = 48/4 = 12
Line BA nd B'A' are parallel lines joined by two transversals BC and CA.
So, ∠B = ∠B' = 40°( corresponding angles are equal)
Also, ∠A = ∠A' = 80° ( corresponding angles are equal)
∠A + ∠B +∠C = 180( sum of angles in a triangle)
80 + 40 + ∠C = 180
120 + ∠C = 180
∠C = 180 - 120 = 60°
In conclusion,
The length of AB when A'B' is 8 is 12
The measurement of B' when angle B is 40° is also 40°
The measurement of A' when A is 80° is also 80°
The measurement of C using AB is 60°.
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what percent of 7 is 3.5
Answers
Answer:
50%Step-by-step explanation:
what percent of 7 is 3.5
3.5 is half of 7, so 100%: 2 = 50%
Answer: 50%
I have shown two methods, both work well and can be used to solve other scenarios as well.
[Method One]
We will set up a proportion and solve.
-> A percent divided by 100 is a decimal. This means 100% = 1 in our proportion
[tex]\frac{1}{7} =\frac{x}{3.5}[/tex]
7x = 3.5
x = 0.5
0.5 * 100 = 50%
[Method Two]
We will put the whole value in the denominator, and the "what percent of" value is the numerator.
[tex]\displaystyle \frac{3.5}{7}[/tex]
0.5
0.5 * 100 = 50%
Identify a pattern in each list of numbers. Then use this pattern to find the next
number.
-1215, 405, -135, 45, -15,
Answers
Answer:
pattern: common ratio of -1/3next: 5Step-by-step explanation:
When looking for patterns in a sequence, it is useful to look at differences, ratios, and differences of differences. Here, the terms have a common ratio:
405/-1215 = -135/405 = 45/-135 = -15/45 = -1/3
__
For this sequence, each number is -1/3 times the previous number.
The next number is (-15)(-1/3) = 5.
Find p write your answer in simplest radical form
Answers
Answer:
sqrt (98)
Step-by-step explanation:
The two 45 degree angles result in equal length legs in this right triangle ..
use pythagorean theorem
7^2 + 7^2 = p^2
sqrt (98) = p
Please help! I forgot to study..
Answers
Answer:
mean: $13.50
median: $11
mode: $10
range: $26
hope this helps:)
Answer:
The mean is 13.5, median is 11, mode is 10, and for the range, it's 26
Step-by-step explanation:
For the mean, you add all the numbers up 4+30+10+12+10+20+12+10 = 108. Then you divide by how many terms there are which is 8 and then you get 13.5.
The median is the middle value in a list ordered from smallest to largest. So that is why you get 11.
The mode is the most frequently occurring value on the list and we can tell that 10 is the most occuring in this list.
Finally we have the range. To find the range you subtract the highest amount to the lowest amount. 30 - 4 = 26.
The present shown below is a cube. Find the surface area.
Answers
Answer:
SA = 2,400 cm²
Step-by-step explanation:
Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)
SA = 2(lw) + 2(wh) + 2(hl)
l = 20 cmw = 20 cmh = 20 cmSubstitute the values above and multiply:
SA = 2(lw) + 2(wh) + 2(hl)
SA = 2(20)(20) + 2(20)(20) + 2(20)(20)
SA = 2(400) + 2(400) + 2(400)
SA = 800 + 800 + 800
SA = 2,400 cm²
Final answer: 2,400 cm²
Hope this helps!
================================
[tex] \large \sf \underline{Direction:}[/tex]
The present shown below is a cube. Find the surface area.================================
[tex] \large \sf \underline{Answer:}[/tex]
[tex] \qquad \qquad \huge \bold{2,400cm^{2} }[/tex]
================================
[tex] \large \sf \underline{Solution:}[/tex]
[tex] :\sf{SA=2(lw)+2(wh)+2(hl)}[/tex]
[tex]:\sf{SA=2(20)(20)+2(20)(20)+2(20)(20)}[/tex]
[tex]:\sf{SA=2(400)+2(400)+2(400)}[/tex]
[tex]:\sf{SA=800+800+800}[/tex]
[tex]\therefore\sf\underline{SA = \pmb{2,400cm^{2} }}[/tex]
Hence, the surface area that you are looking for is 2, 400cm².
================================
Which of the following is a unit fraction? 3/8 ,15/16 ,4/9,1/8
Answers
Answer:
its b
Step-by-step explanation:
ab equal 76 because 4
PLSSSS HELP ME WITH THIS!!!!!
Answers
Answer:
A
Step-by-step explanation:
(5,2)
(5+1,2-1)
(6,1)
Dilation of 2 from origin
6x2=12
1x2=2
(12,2)
A line passes through the point (-1, 8) and has a slope of 9. Can someone put that in slope intercept for
Answers
Step-by-step explanation:
[tex]y - y_1 = m.(x - x_1)[/tex]
[tex]y - 8 = 9.(x - ( - 1))[/tex]
[tex]y = 9x + 9 + 8[/tex]
[tex]y = 9x + 17[/tex]
A baker made two cakes of the same size.
At the end of the day, there was 2/3 of a chocolate cake left.
There was 5/6 of a strawberry cake left.
The baker divided the remaining chocolate cake into 2 equal pieces and the remaining strawberry cake into 3 equal pieces.
How much larger was the chocolate cake pieces than the strawberry pieces?
Answers
Your question seems to be incomplete
PLSS HELP ME WITH THIS !! 20 POINTSS
Answers
Answer:
Constant of Proportionality is k = y/x
Step-by-step explanation:
k = 0.5/1 = 0.5
Answer:
k = 0.5
Step-by-step explanation:
the constant of proportionality is the slope of the line
using the point (1, 0.5 ) , then
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{0.5}{1}[/tex] = 0.5
Suppose we choose7 objects without replacement from 9 objects
Answers
Answer:
181 440Step-by-step explanation:
We have 9 choices for Choosing the first object
8 choices for Choosing the 2nd object
.
.
.
3 choices for Choosing the seventh object
Therefore if we want to choose7 objects without replacement from 9 objects we have : 9×8×7×6×5×4×3 = 181 440
Also ,we can calculate it this way :
9P7 = 181 440
2x+ 5y = 15
5x+10y = 35
O A. (5.-1)
O B. (5,1)
(
O C. (10,-1)
O D. (10,1)
Answers
Answer:
B.
Step-by-step explanation:
Plug in those x and y values into your equations.
(x, y) = (5, 1)
2x + 5y = 15
2(5) + 5(1) = 15
10 + 5 = 15
5x + 10y = 35
5(5) + 10(1) = 35
25 + 10 = 35
This proves those values are true. So the answer is B.
what is 3 1/2 - 2 7/8=
Answers
Step-by-step explanation:
[tex] = 3 \frac{1}{2} - 2 \frac{7}{8} \\ [/tex][tex] = \frac{3 \times 2 + 1}{2} - \frac{2 \times 8 + 7}{8} \\ [/tex][tex] = \frac{7}{2} - \frac{23}{8} \\ [/tex]Now...find the lcm...[tex] = \frac{7}{2} \times \frac{4}{4} - \frac{23}{8} \times \frac{1}{1} \\ [/tex][tex] = \frac{28}{8} - \frac{23}{8} \\ [/tex][tex] = \frac{28 - 23}{8} \\ [/tex][tex] = \frac{5}{8} \\ [/tex]Answer:
5/8
Step-by-step explanation:
3 + 1/2 - 2 - 7/8
⇒ 3 - 2 = 1
1/2 - 7/8 = ?
⇒ 4/8 - 7/8 = -3/8
1 - 3/8 = 5/8
Alternative approach:
7/2 - 23/8(converted mixed numbers to fractions)
(7 × 8) - (23 × 2) ÷ 2 × 8
= 56 - 46 ÷ 16
= 10/16
= 5/8
A path in the park is 15 kilometers in. A trash bin is placed every 1/3 kilometers how many trash cans are along the path ?
Answers
what is erics mean speed if he bikes 57.6 miles in 3.2 hours.
Answers
Answer:
18 miles/hr
Step-by-step explanation:
Mean speed is average speed
is m/ hr = 57.6 m /3.2 = 18 miles/hr
Answer:
18
Step-by-step explanation:
37/16 as a decimal rounded to the nearest tenth
Answers
Answer:
2.3
CAN I GET BRAINLIEST PLEASE
Step-by-step explanation:
Answer:
2.3.Step-by-step explanation:
We know that:
the fraction is 37/16What we DON'T know is:
the decimal of 37/16.Solve for the decimal:
37/16= 2.3 (Can't find my explanation).Answer is 2.3.
A committee must be formed with 4 teachers and 7 students. If there are 9 teachers to choose from, and 8 students, how many different ways could the committee be made?
Answers
as compromises. One example of an adaptive con
bear's "thumb.' Modern pandas have five digits th
and a sixth digit that functions like a thumb. This
bone. Ancestral pandas with bigger wrist bones hac
ing and eating their food. Over time, this adaptati
wich one is a Line of Symmetry with a line going up and down called
a.Horizontal Line of Symmetry
b.Vertical Line of Symmetry
c.Diagonal Line of Symmetry
Answers
Your answer is B.
Vertical goes straight up and down.
Horizontal lines go side to side
A diagonal line is slanted.
If you flipped 2 coins, what is the probability that both will land on tails?
3/4
0/4
1/4
1/2
Answers
The probability of getting exactly two tail is 1/4.
what is the explicit formula cor ths geometric sequence 224,112,56,28
Answers
a_n=224(1/2)^n-1
Which function has the same minimum value as ? f(x) = 3x 3 f(x) = |x| 3 f(x) = –x2 3
Answers
The function that has the same minimum value as fx= 3x³ is f(x) = x + 3.
What is a function?It should be noted that a function simply means a relation or expression that involves two or more variables.
In this case, the function that has the same minimum value as the expression of 3x³ is f = x + 3.
Learn more about functions on:
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Answer:b
Step-by-step explanation:
How do I find an angle degree in a right triangle using cos, sin or tan? I have the opposite length and the adjacent. 2 for opp, 7 for adj. I did tan (B) = 2/7 but then I am stuck
Answers
Answer:
15.945°
Step-by-step explanation:
tan A = opp/adj
You are correct to use the tangent function.
You are also correct in writing
tan (B) = 2/7
You are not finding the tangent of a degree angle measure.
You are doing the opposite. You know what the tangent of an angle equals, and you need to find out the angle measure.
For that, you need to do the inverse tangent.
If you have a calculator, divide 2 by 7.
Then press the second function key followed by the tangent key.
The tangent key has "tan".
The second function on the tangent key is the inverse tangent, and its symbol is [tex] \tan^{-1} [/tex].
In this case, the exponent -1 is not really an exponent. It really is function notation for the inverse function.
[tex] \tan^{-1} \dfrac{2}{7} = 15.945^\circ [/tex]
PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
44.415 degrees
Step-by-step explanation:
find the third side
49 - 25 = 24
square root of 24 =
2√6
law of cosines
missing angle = arccos ((a^2+b^2-c^2)/2ab))
Answer:
Step-by-step explanation:
We know that all angles are equal to 180.
The angle right next to the letter see is a Right Angle that equals 90 degrees.
To find the sum of angle A, we have to do some simple math.
180-90= 90
Then we have two angles left. We have to divide 90 in half.
90/2= 45
then to check your work: 90+45+45= 180
So angle A is 45 degrees.
Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x² + 10 a
y = 4x -10? Select two options.
Oy=x² + 5x + 10
Oy + 5x = x² + 10 + 4x - 10
00=x²-9x
00=x²-9x + 20
One x-value of a solution to the system is 4.
Answers
Answer:
0 = x² - 9x + 20
4 is a solution for the system.
Step-by-step explanation:
y + 5x = x² + 10
y = 4x -10
Replacing the value of y in the first equation. This method is called sustitution.
(4x -10) + 5x = x² + 10
4x - 10 + 5x = x² + 10
4x + 5x - 10 = x² + 10 organizing.
9x - 10 = x² + 10 sum of similar terms.
0 = x² + 10 -9x + 10 organizing.
0 = x² - 9x + 10 + 10 organizing.
0 = x² - 9x + 20 sum of similar terms.
What happens if replace 4 in the equation.
0 = 4² - 9(4) + 20
0 = 16 - 36 + 20
0 = -20 + 20
0 = 0 I find that 4 is a solution for the system.
PLEASE HELP!!!!!!!!!!!!!
Answers
Answer:
d this is the answer that I got sorry if its wrong
The point {-1,5} is reflected over the y-axis. Where is the location of the new
image?
A (1,-5)
B(1,5)
C(5, 1)
D (-1,-5)
Answers
Answer:
B (1, 5)
Step-by-step explanation:
When a point is reflected over an axis, the coordinate which corresponds to that axis does not change. The other coordinate becomes negative with respect to the current value.
Hence, since the y-axis is mentioned, the y-coordinate does not change and the x-coordinate becomes negative.
New point = (-(-1), 5)New point = (1, 5)Option BAnswer: The answer i "B"
Step-by-step explanation: No need for a long explanation im sure of it the answer is surely, B
Suppose the figure above is translated 2 units left and 4 units up. The translated figure is then dilated with a scale factor of 3, centered at the origin. Which is the ordered pair for the image of C?