i mean i dont know what you want me to help but good luck
a number card numbered from 1 to 30 is drawn randomly.what is the probability of getting the card having the number which is the multiple of 5 or 6
===================================================
Explanation:
A = multiples of 5 between 1 and 30
A = {5,10,15,20,25,30}
B = multiples of 6 between 1 and 30
B = {6,12,18,24,30}
There are 6 items in set A and 5 items in set B. This gives 6+5 = 11 items overall; however, notice that "30" shows up twice. So we have to subtract off 1 to account for this. This means there are 11-1 = 10 unique values that are either a multiple of 5, a multiple of 6, or a multiple of both. This is out of 30 numbers in the set {1, 2, 3, ... , 29, 30}
The probability we want is 10/30 = 1/3
How to expand Expand 7n-3+1-2n
Answer:
5n-2
Step-by-step explanation:
collect like terms
-> (7n-2n)+(-3+1)
simplify
=> 5n-2
Figure ABCD is transformed to obtain figure A′B′C′D′:
A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A prime B prime C prime D prime has A prime at ordered pair 4, 1, B prime at 2, negative 1, C prime at 2, negative 4, D prime at 4, negative 2.
Part A: Write the sequence of transformations that changes figure ABCD to figure A′B′C′D′. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)
Part B: Are the two figures congruent? Explain your answer. (4 points)
Answer:
Reflected along x axis
Translated 7 units to the right
Step-by-step explanation:
If a point (x, y) is reflected along the x axis, its x coordinate remains the same and the y coordinate is opposite (negated). The new point is at (x, -y)
If a point (x, y) is translated h units to the right, the new coordinate is (x+h, y).The transformation are as follows:
It is reflected along the x axis so that the new coordinates would be at A1 at (- 4, -4), B1 at (- 2, -2), C1 at (- 2, 1), D1 at (- 4, -1)
It is translated 7 units to the right, The new coordinates are A' at (3, -4), B' at (5, -2), C' at (5, 1), D' at (3, -1)
Hope that's better
The sum of two numbers is 48.when the smaller number is subtracted from the larger number,the difference is 12. What are the two numbers
Answer:
The two numbers are:
30 and 18
Step-by-step explanation:
a + b = 48
a - b = 12
From the first eq.
a = 48 - b
Replacing this last value in the second eq.
(48 - b) - b = 12
48 - 2b = 12
48 - 12 = 2b
36 = 2b
36/2 = b
18 = b
from the first eq.
a + 18 = 48
a = 48 - 18
a = 30
Check:
from the second eq.
a - b = 12
30 - 18 = 12
What is the circumference of the circle that circumscribes a triangle with side lengths 3, 4, and 5?
Answer:
5π, about 15.708 units
Step-by-step explanation:
A 3-4-5 triangle is a right triangle. When a circle circumscribes a right triangle, the hypotenuse is the diameter of the circle. The circumference of a circle is given by ...
C = πd
For a diameter of 5 units, the circumference is ...
C = π(5) = 5π = 15.708 . . . units
_____
Additional comment
The (3, 4, 5) triple is one of the first Pythagorean triples you run across. It is the smallest integer triple, and the only primitive triple with values in an arithmetic sequence. You can show this is a Pythagorean triple by ...
3² + 4² = 9 +16 = 25 = 5²
That is, these numbers satisfy the Pythagorean theorem relation for sides of a right triangle.
Evaluate 5−1/−90. Write your answer as a fraction in simplest form.
Answer:
2/-45
Step-by-step explanation:
5-1 = 4
4/-90 = 2/-45
Hope that helps
What is the first step in solving the equation 4b - 7 = 13.
Answer:
Add 7 to both sides of the equation [it would look like: 4b - 7 +7 = 13+7]
Step-by-step explanation:
The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 50 people.
A. 40 ≤ x ≤ 140
B. 0 ≤ y ≤ 50
C. 40 ≤ y ≤ 140
D. 0 ≤ x ≤ 50
Andre runs at a constant speed, 5 meters every 2 seconds. how long does it take him to run 91 meters at this rate
Answer: 36.4 seconds
(Unitary method)
5 meters take 2 seconds
1 meter takes 2/5 seconds
91 meter takes 2/5 * 91 --> 36.4 seconds
The time taken by Andre to run 91 meters is 36.5 seconds.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here: Distance travelled by Andre=5 meters in time t=2seconds
Thus Andre's speed = 5/2
=2.5 m/sec
Thus time taken to run 91 m is = 91/2.5
=36.5 seconds
Hence, The time taken by Andre to run 91 meters is 36.5 seconds.
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what’s 75 percent of 120
Answer:
90
Step-by-step explanation:
q
Find the greatest common factor of 15c and 8c2.
HELP PLSSSS ILL REWARD BRAINLIEST!!!
convert the following
1. 0.3 m
2. 37 cm
3. 3.3 cm
4. 4,000 dm
5. 6 hm
6.0.441 L
7. 24.96 L
8. 1,915 ml
9. 13.8 kg
10. 1,698 9
Answer:
I dont need
Step-by-step explanation:
what to convert
Mandy is setting up for a reception. For the number of seats needed, she knows she can use either 8 seats at each table with none left over, or 10 seats at each table with none left over. Which is the least number of seats she is setting up?
Answer to this ?……..
If you filled out the chart fully:
a = 4
b = 7
c = 6
d = 9
e = 17
Based on the chart, their 7 girls and 10 boys. In this case, it is a better chance of selecting a boy which ratio is:
7:10
There is a greater chance of picking a boy than a girl where there is three more boys than girls.
Your piggy bank contains quarters and dimes. There are 572 coins in the piggy bank totaling $92. How
many quarters and dimes are in the piggy bank
Answer:
340 dimes and 232 quartersStep-by-step explanation:
Let the number of dimes be x and quarters be y.
Dime = 10 cents, quarter = 25 cents, total amount is $92 = 9200 centsWe have equations:
x + y = 57210x + 25y = 9200Multiply the first equation by 10 and subtract from the second one:
10x + 25y - 10x - 10y = 9200 - 572015y = 3480y = 3480/15y = 232Find the value of x:
x + 232 = 572x = 572 - 232x = 340Jim’s backyard is rectangular with dimensions of 80 feet by 120 feet. He is planning to designate part of the yard to plant a vegetable garden. The garden will be a similar rectangle, using a scale factor of 3/4. How much fencing will he need if he wants to enclose the garden on all four sides?
How many feet does he need?
The lines graphed below are parallel. The slope of the red line is 3. What is the
slope of the green line?
5
-5
5
O A. - 1 / 1
O B. 3
C.-3
Answer:
The correct answare should be slope of 3.
Step-by-step explanation:
Well if the red line has the slope of 3 and the green and the red are parrallel than the slope of green should also be 3.
determine whether Δ def to Δ HIG is a reflection, translation, rotation, or glide reflection
what are the reflection line, translation rule. center and angle or rotation or glide translation rule and reflection line?
A. Rotation, 180°, about ( -0.5, 0)
B. glide reflection, translate 8 units to the right then reflect across the line y=4
C. Reflection, x=5
D. Rotation, 180, about (1,4)
20 Points
find the value of x when 6 - 4x +6x - 8x +6 , what is the vaule of x ?
=> 6- 4x +6x -8x +6 = 0
=> 12 -6x = 0
=> 6x = 12
=> x = 2
simply the expresstion: 5+8 (3 + x )
Answer:
29+8x
Step-by-step explanation:
5+8(3+x)
Expand 8(3+x)
= 5+24+8x (add the numbers)
= 29+8x
Are two similar triangles necessarily congruent? Why?
if their corresponding angles are congruent and the corresponding sides are in proportion ...so it will be similar triangle
No files or links please!
graph y= -4/3 x+2 using the slope and y-intercept
Answer:
heres a graph
Step-by-step explanation:
Answer: there you go
Step-by-step explanation:
***WILL GIVE BRAINLIEST***
A triangular garden is to be split so that the angle at vertex B is bisected. This diagram was supplied by the landscape architect, but you do not have a way to measure the angles at B. You do have the given side lengths, so what is the length of side AD that will allow the angle at B to be bisected?
A.
5 m
B.
4 m
C.
2 m
D.
3 m
The length of side AD that will allow the angle at B to be bisected is 3m, the correct option is D.
What is Angle Bisector Theorem?According to the angle bisector theorem, the angle bisector of an angle of a triangle bisects the opposite side into two parts that are proportional to the other two sides.
The sides of the triangle are 5,7 and (x+4) m.
The BD will be the angle bisector of angle B only if
x/4 = 5/7
x = 5 *4 / 7
x = 20/7 = 2.85 ≈ 3m
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Is 24:6 equivalent to 12:3
Answer:
Yes
Step-by-step explanation:
Yes! If you multiply both of the values in the ratio 12:3 by 2, you get the ratio 24:6. A ratio is equivalent to another if one can be multiplied by or divided by the same number to result in the other ratio.
For example, 1:2 and 3:6 are equivalent ratios since 1:2 can be multiplied by 3 to result in 3:6.
Hopefully that's helpful! :)
(100 POINTS) URGENT PLEASE HELP
A class is selling granola bars for a fundraiser. They earn $0.75 for every granola bar sold. They have ordered 300 granola bars for the sale. The function P(b) = .75b represents the profit (P) the class earns for each bar (b) they sell. Find a reasonable domain and range for this scenario.
If you post a random answer just to get the points, I will report you with several accounts until you get banned.
Answer:
I'm not sure but I'll try help you work it out
Step-by-step explanation:
You need to do 300 x 0.75
Then you need to do 0.75 + 0.75, 300 x 1.50
Now compare the answers
A reasonable domain could be a bake sale <3
Sorry I tried to help
Solve. 8 3/5=3/4x−5 1/2 Enter your answer as a mixed number in simplest form in the box.
The value of x in the expression is 18(24/30).
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
8(3/5) = (3/4)x - 5(1/2)
43/5 = 3x/4 - 11/2
43/5 + 11/2 = 3x/4
(86 + 55)/10 = 3x/4
141/10 = 3x/4
3x = 141 x 4 / 10
x = 564/30
x = 18(24/30)
Thus,
The value of x is 18(24/30).
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how much water should be added to 5 gallons of 50% acid solution to get a 20% solution?
thank you.
The amount of water that should be added to 5 gallons of 50% acid to get 20% solution is 7.5 gallons.
Word problems in mathematics requires crucial understanding and mathematical knowledge to be able to solve real life cases.
From the information given:
Let consider (x) to be the amount of water to be added 5 gallons of 50% acid solution will be = 5 × 0.5 = 2.5 gallons of acid in 50% solution.∴
The amount of water to be added can computed by using the relation:
[tex]\mathbf{\dfrac{2.5}{x+5} = 20\%}[/tex]
[tex]\mathbf{2.5= 0.2(x+5)}[/tex]
2.5 = 0.2x + 1
2.5 - 1 = 0.2x
1.5 = 0.2x
x = 1.5/0.2
x = 7.5
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If you want 10 points answer my question
Plz
If f(x) = x2 + x - 8, find f(-3).
Answer:
-17
Step-by-step explanation:
it's telling you to replace x with -3.
You have to replace all the x's with -3.
(-3)2 + (-3) - 8 = -17