Answer:
[tex]\frac{63}{4}[/tex]
Step-by-step explanation:
[tex]\frac{42}{1} x \frac{3}{8}[/tex]
Cross out common factors 42 & 8;
[tex]21 * \frac{3}{4}[/tex]
Write as a single factor.
[tex]\frac{21*3}{4}[/tex]
21*3= 63
[tex]\frac{63}{4}[/tex]
-9y > 9. Solve for the inequality
Answer:
-1
Step-by-step explanation:
make it equal to zero
-9y - 9 = 0
add 9 to both sides
-9y = 9
divide both sides by -9 to get y alone
y = 9/-9
simplify
y = -1
A train traveled at 100 mph for 2 hours,then wen an additional 2 hours at 85mph. Which expression gives the number of miles the train traveled?
2)
Ms Seow has an envelope which is 15 cm by 7cm.
What is the perimeter of the envelope?
In triangle ABC, the size of angle B is 3 times the size of
angle A, and the size of angle C is 16° less than 6 times
the size of angle A.
Find the size of the angles.
Step-by-step explanation:
Here,
angle B = 3 x angle A
angle C = 6 x angle A - 16
now, for a triangle,
angle A + angle B + angle C = 180
or, angle A + 3 x angle A + 6 x angle A - 16 = 180
or, 10 x angle A = 196
so, angle A = 19.6 degrees
angle B = 3 x 19.6 = 58.8 degrees
angle C = 6 x 19.6 - 16 = 101.6 degrees
A car travels at an average speed of 52 miles per hour How many miles does it travel in 4 hours and 45 minutes
Answer: 247 miles.
Step-by-step explanation: First, we need to convert the 45 minutes into hours. we know that 1 hour = 60 minutes. Dividing any number of minutes by sixty gives us the number of hours along with the remaining minutes if there are any. so 45/60 simplifies to 3/4. Now for the miles, it's given that the speed is 52 mph. So we can put into the expression 52(4+3/4)= total miles. Once we distribute 52, we get 208 + 39, which equals to 247.
Answer:
247
Step-by-step explanation:
52÷60 mins x 45= 39 miles for 45 mins
45 mins + 4 x 52 =247
Question 4
Use the given sets to find An B.
Answer
AnB =
Correct
A = {1, 2, 3, 4, 5, 6, 7, 8, 9}
B = {2, 4, 6, 8, 10, 12}
Ta
A n B = {2,4,6,8}
The intersection of Sets :
The intersection of sets for two given sets is the set that contains all the elements that are common to both sets. The symbol for the intersection of sets is "∩''. For any two sets A and B, the intersection, A ∩ B (read as A intersection B) lists all the elements that are present in both sets, and are the common elements of A and B.
Intersections of sets have properties similar to the properties of numbers. The properties of the intersection of sets include the commutative law, associative law, the law of null set and universal set, and the idempotent law. The following table lists the properties of the intersection of sets.
Name of Property/Law Rule
Commutative Law A ∩ B = B ∩ A
Associative Law (A ∩ B) ∩ C = A ∩ (B ∩ C)
Law of ϕ and U ϕ ∩ A = ϕ , U ∩ A= A
Idempotent Law (A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
(A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
Important Notes:
(A ∩ B) is the set of all the elements that are common to both sets A and B.
If A ∩ B = ϕ, then A and B are called disjoint sets.
n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
Given :
A = {1, 2, 3, 4, 5, 6, 7, 8, 9}
B = {2, 4, 6, 8, 10, 12}
Find :
A n B = {2,4,6,8}
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2. 50 vehicles belong to an enterprise that has three departments, A, B and C. 6 vehicles are available for the use of all three departments, while 2 vehicles give service to neither of the departments. 24 vehicles are administrated by department B, although 16 of them are also used by the others departments. There are twice as many vehicles in department A as there are in department C. If equal numbers of vehicles are allocated when used by any two departments, find the number of vehicles administrated by each department.
The number of vehicle administered by department A only = 18
The number of vehicle administered by department B only = 8
The number of vehicle administered by department C only = 1
Given data
50 vehicles belong to an enterprise that has three departments, A, B and C
6 vehicles are available for the use of all three departments
2 vehicles give service to neither of the departments
24 vehicles are administrated by department B
16 of the 24 used by B are also used by the others departments
There are twice as many vehicles in department A as there are in department C.
equal numbers of vehicles are allocated when used by any two departments
How to find the number of vehicles administrated by each departmentnumber of vehicles on department A = 2 * number of vehicles in department C.
say A = 2C
B = 24
let x represent the number of vehicles used by any two departments
16 of the 24 used by B are also used by the others departments and equal numbers of vehicles are allocated when used by any two departments hence
16 = 2x + 6
2x = 16 - 6
2x = 10
x = 5
B only = 24 - 2x - 6 = 18 - 2x = 18 - 10 = 8
A only = A - 2x - 6 = 2C - 10 - 6 = 2C - 16
C only = C - 2x - 6 = C - 10 - 6 = C - 16
adding up all the vehicles as allocated to get to the sum of 50
24 - 2x - 6 + A - 2x - 6 + C - 2x - 6 + x + x + x + 6 + 2 = 50
24 - 6 - 6 - 6 + 6 + 2 - 2x - 2x - 2x + x + x + x + A + C = 50
24 - 10 - 6x + 3x + 2C + C = 50
14 - 3x + 3C = 50
3C - 3X = 50 - 14
3C - 3(5) = 36
3C - 15 = 36
3C = 36 + 15 = 51
C = 17
C only
C only = C - 16
C only = 17 - 16
C only = 1
A only
A only = 2C - 16
A only = 2 * 17 - 16 = 34 - 16 = 18
The number of vehicle administered by department A only = 18
The number of vehicle administered by department B only = 8
The number of vehicle administered by department C only = 1
The number of vehicle administered by department A = 2C = 34
The number of vehicle administered by department B = 24
The number of vehicle administered by department C = 17
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The sum of two numbers is 15. Using x to represent the smaller of the two numbers, translate "the sum of twice the smaller number and two more than the larger num ber" into a variable expression. Then simplify.
Answer:
Step-by-step explanation: Let x be the smaller and y be the largest number.
Since x+y=13, we deduce y=13-x
Now, for the translation: "two more than the larger number" is y+2 , while "twice the smaller" is 2x
Their sum is y+2+2x
And since we know that y=13-x, we have y+2+2x=13-x+2+2=15+x
Devan borrowed $27. They then earned $33. After paying back what they owed, how much money does Devan have?(1 point)
Answer: Devon would have -6 dollars left
Step-by-step explanation:
when you get on the bus to go to school there are x people on the bus. at the next stop 6 people get off the bus. write an expression to represent the remaining number of people on the bus after the first stop.
Answer:
x-6
Step-by-step explanation:
An addition equation to find the volume of this
An addition equation for calculating volume is = 12 units cube.
What is addition equation?The fundamental addition formula, sometimes known as the mathematical equation of addition, is as follows. The addends are 5 and 3, and the sum is 8. It should be noted that an addition fact can have many addends. For instance, 5 + 7 + 9 + 3 = 24.
What is a shape's volume?Volume refers to the amount of space occupied by a 3D shape. The volume of a shape can be calculated by multiplying its height, breadth, and depth. If somehow the shape is made using cubic cm blocks, the volume can be calculated by counting the cubes.
According to the given Data:Total no. of cubes = 12
length of the one cube = 1 unit
So,
volume of the given prism = l x b x h
volume of one prism = 1 unit^3
There are 12 cube are present on adding all the units we get
volume of total cubes are = 12 unit cube.
So,
The volume is = 12 unit cube.
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-1/2n = -8 PLEASEEEEEEE
Answer:
Step-by-step explanation:
D.16
Which expression is equivalent to one fifth times the quantity 3 times x plus 10 end quantity minus 11 over 15 times x?
negative two fifteenths times x minus two
two fifteenths times x minus two
negative two over fifteen times x plus two
one and one third times x plus two
The equivalent expression is,
''Negative two over fifteen times x plus two''
What is Mathematical expression?
The combination of numbers and variables by using operations addition, subtraction, multiplication and division is called Mathematical expression.
We have to given the expression as;
''One fifth times the quantity 3 times x plus 10 end quantity minus 11 over 15 times x''
Now, Write in mathematical expression as,
⇒ [tex]\frac{1}{5} (3x + 10 ) - \frac{11}{15} x[/tex]
We can solve it as,
⇒ [tex]\frac{1}{5} (3x + 10 ) - \frac{11}{15} x[/tex]
⇒ [tex]\frac{3}{5} x + \frac{10}{5} - \frac{11}{15} x[/tex]
⇒ [tex]\frac{3}{5} x - \frac{11}{15} x+ 2[/tex]
⇒ [tex]\frac{-2}{15} x + 2[/tex]
Hence, It can be written as;
⇒ Negative two over fifteen times x plus two.
Therefore, The equivalent expression is,
''Negative two over fifteen times x plus two''.
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Which expression is equivalent to (5x^−5y^3)^
−2?
Write 4,000,000 in scientific notation.
Answer:
4 × 10^6
Because 10^6 = 100,000
Answer:
4×10^6
Step-by-step explanation:
you write a non zero digit which is 4 placing your decimal after the first non zero digit ..then you count the no. of digits you need to move the beginning decimal to get to where your decimal is ...or to use a scientific calculator to make it simple
In a conditional statement where do you find the conclusion
Janine is analyzing spending habits of students in her high school. She finds a mean monthly discretionary expense of $70 spent on having meals
out with friends. The standard deviation of a distribution is 5. What is the variance?
Answer:
Variance = 25
Step-by-step explanation:
I'm smart
Find the values of x, y, and z. The diagram is not to scale.
(Click document to see image.)
The values of x, y, and z. The diagram is not to scale.
x=67z =113y=55This is further explained below.
What are the values of x, y, and z. The diagram is not to scale.?Generally, Angle in a triangle is 180^{\circ}
Therefore
45+68+x=180
x=180-(45+68)
x=67
The angle on a line is also 180^{\circ}
x+z =180
67+z =180
z =180-67
z =113
In conclusion
180=113+12+y
-180-(113+12)=y
y=55
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An aeroplane when flying at a height of 2000m from the ground passes vertically above a helicopter at an instant when their angles of elevation from the same point on the ground are 60⁰ and 30 respectively. Find the vertical distance of the helicopter from the ground.
The vertical distance of helicopter from the ground is equal to 2000 / 3 m.
Let the distance between the two planes A and B be x.
In △ ADC, we get that:
tan 60° = 2000 / y
√3 = 2000 / y ...(1)
Now, in △ BCD, we get that:
tan 30° = 2000 - x / y
1 / √3 = (2000 - x) / y ... (2)
Divide (1) from (2):
3 = 2000 / (2000 - x)
6000 - 3 x = 2000
3 x = 6000 - 2000
3 x = 4000
x = 4000 / 3
(2000 - x) = 2000 - 4000/3 = 2000 / 3
Therefore, the vertical distance of helicopter from the ground is equal to 2000 / 3 m.
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Find the measure of RUS.
Answer:
Step-by-step explanation:
the answer is 23.
Answer:
C
Step-by-step explanation:
The last factor of 30 in the first multiple of 30 is the same number what is it
Answer:30
Step-by-step explanation:because 30 is a multiple and factor of 30.
Can someone help me please
Answer: D': (-7, -1)
E': (-6, -1)
F': (-6, -10)
G': (-7, -10)
Step-by-step explanation:
In a 90 degree clockwise rotation about the origin for this rectangle, the x and y coordinates of the rectangle's edges are swapped, but the y-coordinates are negated. This is because the transformation is happening to the 3rd quadrant, where both the x and y values will be negative.
D: (1, -7) ==> (-7, 1) ==> D': (-7, -1)
E: (1, -6) ==> (-6, 1) ==> E': (-6, -1)
F: (10, -6) ==> (-6, 10) ==> F': (-6, -10)
G: (10, -7) ==> (-7, 10) ==> G': (-7, -10)
PLEASE HELP GIVING BRAINLIEST IF IT IS NOT VALID THEN I WILL REPORT AND BAN THANKYOU
Given: g(x)=√x-4 and h(x) = 2x - 8.
What is g(h(10))?
O 2√2
√6
√6-8
02√6-8
The value of g(h(10)) is 2√2. the correct option is A.
Given that the functions are g(x)=√x-4 and h(x)=2x-8.
A function is defined as the relationship between a set of inputs where each input has an output.
Firstly, we will find the value of h(10) by substituting x=10 in the function h(x)=2x-8.
h(10)=2(10)-8
h(10)=20-8
h(10)=12
Now, we will find g(h(10)) where h(10)=12.
By substituting h(10)=12 in g(h(10)), we get
g(h(10))=g(12).
Further, we will find g(12) by substituting x=12 in the function g(x)=√x-4, we get
g(12)=√(12-4)
g(12)=√8
g(12)=2√2
Hence, the value of function g(h(10)) when g(x)=√x-4 and h(x)=2x-8 is 2√2.
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1. Which value is equal to -8
Answer:
Are there options you forgot to put on the question?
Step-by-step explanation:
Please answer this question asap!! And give an explanation on how you got the answer!
Answer:-5
Step-by-step explanation:
5*5*5=125
-5*-5=25
25*-5= -125
or
3√-125
A school's K-Pop club is learning a new dance to a Korean pop song. They pay the dance teacher from their bank account, which showed three changes this week. • First, a $60 withdrawal was represented using the number -60. • The second change was the opposite of the first. • The third change was the opposite of the second. What number represents the third change made to the account?
The number which represents the third change made to the account according to the task content is; -60.
What number represents the third change made to the account?According to the task content, the second change was the opposite of the first, -60.
Hence, the second change is; +60 which is the additive inverse.
Ultimately, since the third change was the opposite of the second, it follows that the third change is; -60.
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Answer:
Step-by-step explanation:
Solve for x
x + k
——- = r
m
So, we are to solve for x in:
[tex] \frac{x + k}{m} = r[/tex]
Cross multiply the above to solve for x
[tex]x + k = mr[/tex]
Now, collect like terms to find x
Therefore: [tex]x = mr - k[/tex]
please help it's matic
Answer:
6
Step-by-step explanation:
If there are 4 in each tank, that means there are 2 tanks. 4-2 = 2. 8-2 = 6.
Answer:
There 30 fish left at the store
Step-by-step explanation:
There are 8 tanks
If there are 4 fish in each tank, the total would be 32 fish. If Dalia buys 2 fish, you would do 32 - 2 = 30 fish.
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The Jackman & Murohv partnership has the following balances on December 31, 2024:
H: (Click the icon to view the balances.)
Jackman and Murphy share profits 1:3, respectively. Jackman and Murphy decide to liquidate the partnership. Journalize the sale of the non-cash assets for $59,000, the payment of the liabilities.
and the payment to the partners. Assume Murphy contributes cash equal to the capital deficiencv. (Record debits first. then credits. Select the explanation on the last line of the journal entry table.)
Answer:
Step-by-step explanation: