Answer: 90,000
To find the LCM (Least Common Multiple) of a number, list the multiples of each number.
Multiples of 900
Since they're a lot, we will extend it to the short version.
900, 2700, 9900, 37800, 85500, 90000
Multiples of 30000
30000, 60000, 90000, 120000, 150000
Looking at both multiples, the least common multiple is 90000, as it is listed in both 900 and 30000.
Hence, 90,000 is the answer.
What time is it where you guys are at??
5 in the morning unfortunately cuz I have massive insomnia
Answer:
dose meen nambars
Step-by-step explanation:
dont ansor kweschins nambars kweschins
Write a proof. fill in statements and reasons for the blank sides, 10 points for each question.
Step-by-step explanation:
Statements / reasons:
Statement 1 >> RS ≅ UT Reason 1 >> Given
Statement 2 >> RT ≅ US Reason 2 >> Given
Statement 3 >> TS ≅ TS Reason 3 >> Common side
Statement 4 >> ΔRST≅ΔUTS Reason 4 >> SSS theorem
Divide the complex numbers. Write the answer in the form a + bi. (30 points)
Prefer work shown as it would be super helpful, thank you.
We make use of the identity,
a² - b² = (a - b) (a + b)
with a = 5 and b = 7i. Multiply the numerator and denominator by the complex conjugate of 5 + 7i, or 5 - 7i :
(-8 + 3i)/(5 + 7i) = (-8 + 3i)/(5 + 7i) • (5 - 7i)/(5 - 7i)
(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / (5² - (7i)²)
(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / (25 - (-49))
(-8 + 3i)/(5 + 7i) = (-8 + 3i) (5 - 7i) / 74
Expand the numerator on the right side:
(-8 + 3i)/(5 + 7i) = ((-8)•5 + 3i•5 + (-8)•(-7i) + 3i•(-7i)) / 74
(-8 + 3i)/(5 + 7i) = (-40 + 15i + 56i - 21i²) / 74
(-8 + 3i)/(5 + 7i) = (-40 + 71i - 21(-1)) / 74
(-8 + 3i)/(5 + 7i) = (-19 + 71i) / 74
which of these government programs encourage hygiene practices
A. transportation regulations to prevent overcrowding
B. vaccination programs
C. cancer research
D. anti-obesity campaigns
Government programs help to protect citizens from possible hazards
exposure.
The government program that encourage hygiene practices is A.
Transportation regulations to prevent overcrowding.
Reasons:
Hygiene practices which include mainly cleanliness measures, meant to
keep a person healthy as well as to prevent contraction of disease.
Government programs such as stipulating social distancing rules reduces
airborne diseases, and other contagious diseases, and such programs are
useful as part of transport regulations.
Therefore, the government program that encourage hygiene practice
transport regulations to prevent overcrowding.
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Does anyone have the pages 8,9,10,12 in the Dimensions Math 7A Workbook?
PLEASEE!!!! I forgot my book at school and is due in an hour
Answer:
there
Step-by-step explanation:
1
why is the product of 3/2 and 3/4 greater than 3/4
Answer: See below.
Step-by-step explanation:
(3/2)*(3/4) = 9/8
9/8, or 1 1/8 is greater than 3/4
The factor (3/2) is misleading. It is 1.5 written as a fraction and its appearance as a fraction makes one think it is a small number.
System of equation by using substitution
3=y+3x
-x+3y=29
Answer:
x=-2
y=9
Step-by-step explanation:
3=y+3x ---- A
-x+3y=29 ----B
step 1. rearrange equation A, so you have the "y" variable on one side
3=y+3x
-3x -3x
3-3x=y
y=3-3x ---- C
step 2. Substitute equation C into equation B in place of "y"
-x+3(3-3x)=29 ---foil
-x+9-9x=29 -- collect like terms
-10x+9=29
-9 -9
-10x=20
÷-10 ÷-10
x=-2
Step 3. Substitute x=-2 into equation C to find y
y=3-3(-2)
y=3+6
y=9
Check you answer by subsituting x=-2 and y=9 back into equation A and B
Calculate the distance between the points H= (0, 2) and E = (3, -6) in the coordinate plane.
Answer:
The answers is root 73.
Process is shown in the picture.
3) Find the values of a,b ,c and for y=x^2-9x+18.
Answer:
a = 1
b = -9
c = 18
What is 2+21*13-45+12*67
Answer:
1034
Step-by-step explanation:
Answer:
1034
Step-by-step explanation:
How does the graph of g(x) = [tex](x+12)^{2}[/tex] relate to the graph of f(x) = [tex]x^{2}[/tex]
Answer:
Horizontal translation of the parent graph
Step-by-step explanation:
Definitions:In the vertex form of a quadratic function, f(x) = a(x - h)² + k, where:
(h, k) = vertex of the grapha = determines the width and direction of the graph's opening.A horizonal translation to the parent graph is given by, y = f(x - h), where:
h > 0 ⇒ Horizontal translation of h units to the righth < 0 ⇒ Horizontal translation of |h | units to the leftIn the graph of g(x) = (x + 12)², the vertex occurs at point (-12, 0).
While the vertex of the parent graph, f(x) = x² occurs at point, (0, 0).
Answers:Since the vertex of g(x) occurs at point, (-12, 0), substituting the value of (h, k ) into the vertex form will result into:
g(x) = a(x - h)² + k
g(x) = [x - (-12)]² + 0
g(x) = (x + 12)² + 0
g(x) = (x + 12)²
Therefore, the graph of g(x) = (x + 12)² represents the horizontal translation of the parent graph, f(x) = x², where the graph of g(x) is horizontally translated 12 units to the left.
The points (−4, −3) and (3, y) lie on the same line.
If the slope of the line is 2, what is the value of y?
PLEASE I HELP!!!!!!
The value of y from the given coordinates and slope is; y = 11
We are given the coordinates of the 2 points as;
(-4, -3) and (3, y)
Now, formula for slope of a line with two coordinates is;
m = (y2 - y1)/(x2 - x1)
m = (y - (-3))/(3 - (-4))
m = (y + 3)/7
Slope is m = 2. Thus;
2 = (y + 3)/7
y + 3 = 2 × 7
y + 3 = 14
y = 14 - 3
y = 11
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5p + 3 = 15
Write a situation that this equation could help you solve and explain how each part of the equation relates to the situation you create.
The given expression represents a number whose 5 times is 3 less than 15 which is 12/5.
Given that,
An expression is given we have to discuss what the expression 5p + 3 = 15 implies.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
5p + 3 = 15
5p = 15 - 3
p = 12 / 5
Thus, the given expression represents a number whose 5 times is 3 less than 15 which is 12/5.
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#SPJ3
1. If you report to work at 18.00 on a Wednesday and you get off at 02.50 on a
Thursday, which day of the pay period week are you working?
2. If you report to work at 06.00 on Friday and you get off work at 14.50 on Friday,
which Tour did you work?
I
3. If you report to work at 22.50 on Friday, for Week 2, and you get off of work at
07.00 on Saturday, for Week 1, your time worked is recorded for the next pay
period. Why?
help me with this question please!!ASAP
Kayden practices the piano 609 minutes in 3 weeks. If t represents the total time he
practices for any number of days, d, write a proportional equation for t in terms of d
that matches the context.
Answer:
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
1 and 3
Step-by-step explanation:
The reason 1 and 3 are similar due to the fact 3x2 is 6 (one side of 3) and 5x2 is 10 (another side of 3) therefore they are similar because one is sized up slightly.
Explain how to find the greatest number of identical arrangements that can be made with 54 roses and 42 tulips with no flowers left over.
Answer:
GCF(54, 42) = 6 arrangements
Step-by-step explanation:
The number of such arrangements will be the greatest common factor (GCF) of the two numbers. You recall from your times tables that ...
54 = 6×9
42 = 6×7
The factors 9 and 7 have no factors in common, so 6 is the greatest common factor of 54 and 42.
6 identical arrangements of 9 roses and 7 tulips can be made.
_____
Additional comment
When the numbers are small and found in your memorized times tables, finding the GCF is done by consulting your memory. Otherwise, it can be done by factoring, or by using Euclid's algorithm.
When the numbers are factored to primes, the GCF is the product of the prime factors the numbers have in common.
54 = 2×3×3×3
42 = 2×3×7
These factorizations have 2×3 = 6 in common.
__
Euclid's algorithm has you find the remainder from the division of the larger number by the smaller. When that remainder is not zero, it replaces the larger number, and the process repeats. When that remainder is zero, the divisor is the GCF.
54/42 = 1 r 12
42/12 = 3 r 6
12/6 = 2 r 0 . . . . GCF = 6
This algorithm works on numbers of any size (including fractions and mixed numbers), so is especially useful when the factorization is not obvious.
Find the perimeter. Simplify your answer.
Answer:
24c-14
Step-by-step explanation:
to find the perimeter, simply add up the values of the three sides:
(7c-5) + (7c-5) + (10c-4) = 7c-5+7c-5+10c-4 = (7c + 7c + 10c) + (-5 -5 -4) = 24c -14
How do u solve this? pls LOL
Answer:
8
Step-by-step explanation:
HF and DE are parallel to each other ( since corresponding angles are equal = 90°) .
Hence the smaller and the larger triangle will be similar to each other.
Also we know the corresponding sides of similar triangles are proportional .
=> 10 / z = 10+5/12
=> 10/z = 15/12
=> z = 10 *12/15
=> z = 8 yards
Answer:
8
Step-by-step explanation:
Maria and Carlos went to the game store during its sale.
Together they spent $38.50. If each game cost $3.50 and Carlos
bought one more tan Maria, how many games did each buy?
Answer:In a direct proportional relationship, as one object gets larger, the other object gets larger as well. This fits that definition, as when the amount of video games bought increases, so does the amount of money spent.
Step-by-step explanation:
Answer: Below
Step-by-step explanation:
38.50 divided by 3.50
11
if there are 11 in all then carols bought 6 games
and Maria bought 5 games
What is the slope of the line shown in the graph?
Answer:
-3/2
Step-by-step explanation:
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
[tex]x = \frac{3}{ \sqrt{2} } [/tex]
Step-by-step explanation:
[tex] {x}^{2} + {x}^{2} = {3}^{2} \\ 2 {x}^{2} = 9 \\ {x}^{2} = \frac{9}{2} \\ x = \frac{3}{ \sqrt{2} } \\ x = 2.121[/tex]
PLEASE HELP!! The figure below shows a line graph and two shaded triangles that are similar:
A line is shown on a coordinate grid. The x axis values are from negative 10 to positive 10 in increments of 2 for each grid line. The y axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 6, negative 3, and 0, 0, and 6, 3. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled O to 4, 2 labeled A, one leg is from 0, 0 to 4,0, and the second leg is from 4,0 to 4, 2. Another shaded right triangle is formed with the hypotenuse is from 4, 2 to 6, 3 labeled B, one leg is from 4, 2 to 6, 2, and the second leg is from 6, 2 to 6, 3.
Which statement about the slope of the line is true?
It is fraction 1 over 2 throughout the line.
It is 2 throughout the line.
The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B.
The slope from point O to point A is 2 times the slope of the line from point A to point B.
The slope of the line of the graph is given by the ratio of the change in y-
coordinates to the change in the x-coordinates of the line.
The statement that is true about the slope of the line is; it is [tex]\dfrac{1}{2}[/tex] throughout
the line.
Reasons:
The given parameter are;
The ordered pair through which the line passes = (-6, -3), and (0, 0) and (6, 3)
Points on the hypotenuse of the shaded right triangle = O(0, 0), and A(4, 2)
Points on the leg of the right triangle = (0, 0) to (4, 0)
Points on the second leg of the right triangle = (4, 0) to (4, 2)
Second right triangle;
Points on the hypotenuse = A(4, 2) to B(6, 3)
One leg of the right triangle extends from (4, 2) to (6, 2)
Second leg extends from (6, 2) to (6, 3)
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]\mathrm{Slope, \, of \ first \ triangle, \, m} =\dfrac{2-0}{4-0} = \dfrac{1}{2}[/tex]
[tex]x^{2} \mathrm{Slope, \, of \ second \ triangle, \, m} =\dfrac{3-2}{6-4} = \mathbf{\dfrac{1}{2}}[/tex]
Therefore;
The slope is [tex]\dfrac{1}{2}[/tex] throughout the line
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The DEGREE of algebraic expression 2xy + 7 is
A) 2
B) 3
C) 7
D) xy
TY!!
If the worker worked for 15.5 hours, how much money would they earn? Round to the nearest
hundredth.
$135.63 or Choice B
Step-by-step explanation:
If the worker works for 15.5 hours and earns $8.75 per hour, you would multiply 15.5 and 8.75, you get 135.625. Round it to the nearest hundredth gives you the answer of $135.62
Convert 8 yards into meters. Round your answer to the nearest tenth.
Answer:
7.3 meters
Step-by-step explanation:
use the formula:
meters= yards x 0.9144.
8 yards x 0.9144 = 7.3152 meters
which rounded to the nearest tenth is 7.3152
Answer:
7.3
Step-by-step explanation:
→ First find how many yards in one meter
1 yard = 0.9144 meters
→ Multiply 0.9144 by 8
0.9144 × 8 = 7.3152
The ratios of boys to girls in a class is 6:9. If there are 39 girls in the class, how many boys would be in the class?
Answer:
6.5
Step-by-step explanation:
6 to 9 so 39 divided by 6 and you get 6.5
Answer:
6:9 in-simplified is 23:39
Step-by-step explanation:
So 6:9 written in lowest terms is 23:39, this is known as reducing fractions.
NEED ASAP!!!
Evaluate the expression for the given value of the variable. 28+ 7 9r r= -1/2
Answer:
-11.5
Step-by-step explanation:
28+ 79r r= -1/2
28+ 79(-1/2) =
28 + -39.5 -11.5
Which of the following is not equivalent to 23 + (-27) - 16-(-32)?
23 – 27 – 16 + 32
o 23 – 27 – 16 – (-32)
O
23 + (-27) + 16 + 32
o
23 + (-27) + (- 16) - (- 32)
Answer: 23 + (-27) + 16 + 32 is not correct
Step-by-step explanation:
23 + (-27) + 16 + 32 is not correct
23 + (-27) + 16 + 32 The +16 should be -16