find the decimal equivalent of the fraction 1/6
Answer:
0.16666666666
Step-by-step explanation:
28. Ashton is hosting a banquet. He plans to spend $400, plus/minus $50, at a
cost of $25 per guest,
a. Find the maximum and minimum number of guests.
b. If there can be up to 7 guests per table, what is the minimum number of
tables Ashton should reserve so everyone has a seat?
Answer:
If he can spend $400 +- $50 ($350 or $450) the maximum number of guests at $25 each is 18 and the minimum is 14. If there can be up to 7 guests, he should prepare to have at least 3 tables to ensure everyone gets a seat if he goes with the $450 option.
Step-by-step explanation:
Please mark Brainliest if this helped :)
Division is one of the four fundamental arithmetic operations. The minimum number of tables Ashton should reserve so everyone has a seat is 2.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Ashton's budget is $400±50. Therefore, the maximum and the minimum budget that Ashton can spend on the banquet are,
Maximum budget = $400 + $50 = $450
Minimum budget = $400 - $50 = $350
A.) Now, the maximum guest will cost the maximum budget, therefore, we can write
Maximum guest = Maximum budget / Budget per guest
= $450 / $25
= 18
Minimum guest = Minimum budget / Budget per guest
= $350 / $25
= 14
B.) Since the minimum number of guests that can come to the banquet is 14, and only 7 people can seat at a table, therefore, the minimum number of tables Ashton should reserve so everyone has a seat is 2.
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Amelia drives 10 miles in 20 minutes. If she drove three hours in total at the same rate, how far did she go? subquestion - how many minutes did she drive in total
Answer:
Amelia drove 90 miles in 3 hours.
Step-by-step explanation:
she drove 10 miles in 20 minutes
we multiply this by 3, and get
30 miles in an hour ( 60 minutes)
then we multiply this by 3 and get
90 miles in 4 hours (180 minutes) :)
To verify Pythagoras theorem.
Answer:
The proof of Pythagorean Theorem in mathematics is very important. In a right angle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. States that in a right triangle that, the square of a (a²) plus the square of b (b²) is equal to the square of c (c²).
geometry #1 please will give brainliest
Step-by-step explanation:
If two lines, segments, or rays intersect at right angles, then they are perpendicular. If two angles are complementary, then their measures add up to 90 degrees. If two angles' measures add up to 90 degrees, then they are complementary. If two angles are supplementary, then their measures add up to 180 degrees.
What is the correct order of steps for copying angle ABC?
A. Create point H at the intersection of the arcs created from point D, and draw a ray from point D through point H.
B. Draw a ray with the endpoint D, and place the compass on point B.
c. Keeping the compass at the same width, place it on point D, and swing an arc that creates point G.
D. Keeping the compass at the same width, place it on point G, and swing an arc that intersects the arc created from point D.
E. Open the compass to the distance between points E and F
F. Swing an arc that intersects rays BA and BC that creates point E on BA and F on BC.
1) AFCEDB
2) BFCEDA
3) AFCBDE
4) BFDECA
Answer: BFCEDA i took the test and got it right
Step-by-step explanation:
The correct order of steps for copying the angle ABC is BFCEDA.
What is copying the angle?The process of copying an angle through construction involves ensuring that the distance between the two rays forming the angle is the same.
The steps which are required for copying the angle are:
Draw a ray, of the copy of the angle as a ray with an endpoint, D.In the given angle ∠ABC, with the compass placed at point B, construct an arc that intersect the two sides of the given line (BA at point E, and BC at point F) by opening the compass to a radius, r.Place the compass at the point D on the line l and with the radius r from above, draw an arc (D, r) that intersects the line l at the point G.Place the compass at point E on line AB, and construct an arc passing through point F, therefore having radial length EF.Place the compass at point G and construct an arc with radial length EF that intersects the arc (D, r) at point H and draw a ray from the point D passing through point H to complete the construction.Hence, the correct order of steps for copying the angle ABC is BFCEDA.
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Calculate the volume of a warehouse that has inside dimensions of 22.4 meters by 11.3 meters by 5.2 meters.
The volume of the warehouse with the three dimensions is V = 1,316.224 cubic meters.
Given data:
To calculate the volume of the warehouse, you need to multiply its length, width, and height:
Volume = Length * Width * Height
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Given the dimensions:
Length = 22.4 meters
Width = 11.3 meters
Height = 5.2 meters
Substitute these values into the formula:
Volume = 22.4 m × 11.3 m × 5.2 m
Calculate the result:
Volume = 1,316.224 m³
So, the volume of the warehouse is approximately 1,316.224 cubic meters.
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IN A GIVEN FIGURE ABCD IS A SQUARE THE MEASURE OF ANGLE DBC IS
Answer:
Where is figure. Hope you understand me
Step-by-step explanation:
Please mark me brainliest thanks
If JL = 8x-3 and LK = 4x + 57, Find JK
Answer: JK = 234
Concept:
Here, we need to know the idea of the segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
PART I: Find the value of xGiven information
JL = 8x - 3
LK = 4x + 57
Given expression deducted from the given figure
JL = LK
Substitute values into the expression
8x - 3 = 4x + 57
Add 3 on both sides
8x - 3 + 3 = 4x + 57 + 3
8x = 4x + 60
Subtract 4x on both sides
8x - 4x = 4x + 60 - 4x
4x = 60
Divide 4 on both sides
4x / 4 = 60 / 4
x = 15
-------------------------------------------------------------------------------
PART II: Find the value of JKGiven information
JL = 8x - 3
LK = 4x + 57
x = 15
Given expression deducted from the segment addition postulate
JK = JL + LK
Substitute values into the expression
JK = 8x - 3 + 4x + 57
JK = 8(15) - 3 + 4(15) + 57
Simplify by multiplication
JK = 120 - 3 + 60 + 57
Simplify by simple operation (addition/subtraction)
JK = 117 + 60 + 57
JK = 177 + 57
[tex]\boxed{JK=234}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Jennah was evaluating the expression-7+83+ 14. Here is her work
-7+ 83 + 14
75 +14
89
Do you agree or disagree with her answer Explain.
Answer:
NO.
AS SHE HAS DONE SUBTRACTION THEN ADDITION .
BUT WE SHOULD TO ADDITION THEN SUBTRACTION.
V.B.O.D.M.A.S
ANS IS 90...
[tex]no \: i \: am \: totally \: disagree \: with \: \\ her \: because \: - 7 + 83 + 14 \\ = 76 + 14 \\ = 90 \\ she \: get \: 89 \\ [/tex]
thank you
Evaluate with help of distributive property :
i. 425 x 136 ii. 4005 x 67
Answer:
1 : 57,800.
2: 268,335
Step-by-step explanation:
hope it helps you
The expressions are evaluated using distributive property below -
We have -
i. 425 x 136
ii. 4005 x 67
We have to evaluate them with help of distributive property.
State the property of distributivity of multiplication over addition.Distributive property of multiplication over addition :
a × (b + c) = a × b + a × c
According to question, we have -
i. 425 x 136
ii. 4005 x 67
Now -
425 x 136 = 425 x (6 + 30 + 100) = 425 x 6 + 425 x 30 x 425 x 100
and
4005 x 67 = 4005 x (60 + 7) = 4005 x 60 + 4005 x 7
Hence, the evaluation using distributive property is done.
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question 17 i need help answer is -16 but don’t know how
Answer:
-16
Step-by-step explanation:
-k² -(3k-5n)+4n k=-1 , n= -2
= -(-1)² - ( 3(-1) -5(-2) )+4(-2)
= -1-(-3+10)-8
= -1-(7)-8
= -1-7-8
= -16
six boys went on a camping trip . their equipment weight was138 kg if the equipment was divided equally in weight how much did each boy carry
Answer:
138 kg / 6 = 23 kg per boy
Which table shows a linear function?
O
-3
-3.
1
2
-2
2
5
X
3
0
O
-3
-2
1
2
-3
-5
x х
y
-3
-1
0
2
0
2
3
5
Answer:
Its the 3rd one,
Step-by-step explanation:
Because the X (Multiplier) is 1 and the Y (Initial starting point) is 3 so if you plug the numbers in, you'll get linear answers. :)
Pre-Calc HELPP I’ll give brainliest
What is the probability of rolling 2 standard dice which sum to 11?
Answer in fraction form.
Answer:
total is 11
dice is 2
in percentage is 5.56%
in fraction form its 139/25
Step-by-step explanation:
hope that helps>3
A library wishes to build an access ramp for wheelchairs. The main entrance of the library is 8 ft. above sidewalk level. If the architect recommends a grade (angle of elevation) of 6°, how long must the access ramp be?
Answer:
About 76.5 ft.
Step-by-step explanation:
Draw a diagram of a right triangle. The shorter leg represents the height of the main entrance of the library, which is 8 ft. The longer leg won't matter in this case. The hypotenuse is what we're trying to find, so mark it as x. We know there's a 6° angle of elevation, so the 30° angle of the triangle will be 6° in this case. Now we have to use trig. Think of Soh Cah Toa. The 6° is opposite from 8 and the hypotenuse is x. So, the equation to find x would be:
sin (6°) = 8/x
Multiply both sides by x
sin (6°) * x = 8
Divide both sides by sin (6°)
x = 8/sin (6°)
When putting it into a calculator, your answer should be 76.534, which rounds to 76.5 ft.
i need this in less than 5 minutes :((
Answer:
5!=120 ways
Step-by-step explanation:
1st colour 5 ways
2nd colour 4 ways
3rd colour 3 ways
4th colour 2 ways
5th colour 1 way
total no of ways = 5 × 4 × 3 × 2 ×1 =5! = 120 ways
cb-b; use b = - 3, c = - 1
Answer:
6Step-by-step explanation:
Let b= - 3, c= - 1cb - b = ?(-1)(-3) - (-3) = ?3 - (-3) = 6[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
h(x)=x^2-x-1; h(2a+7)
Answer:
2
Step-by-step explanation:
By how much does x power 2 - ax +5 exceeed 3x power 2 -5x=6 I hope this helps :)
d = 6 and e = 2
4e + d + 12 - 2e
Answer:22
Step-by-step explanation:
4*(2) + (6) +12 - 2*(2)=
8 +6 +12 -4=
14 +8= 22
Answer: 22
Step-by-step explanation:
Math For test HELPPPP plz due in 45 mins
Find the equation of the line that is perpendicular to y=1/6x+3 and contains the point (-3,23)
hi please help i’ll give brain
Answer:
The GCF is going to be 2
Step-by-step explanation:
This Is how I find the GCF of 3 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here
The prime factorization of 8, 2 × 2 × 2 = 8
The prime factorization of 18, 2 × 3 × 3 = 18
The prime factorization of 70, 2 × 5 × 7 = 70
The one and THE only common factor is 2, which is going to be the GCF
8x-5y-2x-3y simplify the expression by combining like terms
i need help i need answered assap no bs
Steps:-
First put the vertices on graph and find Triangle ABC .
Then Transact it the give amount i.e 5units and get A'B'C'
simplify the following ;giving your answers in index form
Answer:
[tex] \frac{ {6}^{10} }{ {6}^{3} } \\ = \frac{ {6}^{3} \times {6}^{7} }{ {6}^{3} } \\ = {6}^{7} \\ thank \: you[/tex]
through: (1, 1), slope = 6
Write the slope-intercept form of the equation of the line through the given point with the givenslope.
Answer:
[tex]y=6x-5[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept
We're given that the slope is 6. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=6x+b[/tex]
Now, to solve for the y-intercept, plug in the point (1,1) and solve for b:
[tex]1=6(1)+b\\1=6+b\\b=-5[/tex]
Therefore, the y-intercept of the line is -5. Plug this back into [tex]y=6x+b[/tex]:
[tex]y=6x+(-5)\\y=6x-5[/tex]
I hope this helps!
Which matrix multiplication is possible?
o [o 3]-[1 -4
o
:I::
T:
11:40
30
미
1
4
Answer: D
Step-by-step explanation:
dim A=(a,b), dim B=(c,d), in order to multiply, c=b
1) dim A=(1,2) , dim B=(1,2) but 2≠1
2) dim A=(2,1) , dim B=(2,2) but 1≠2
3) dim A=(2,2) , dim B=(1,2) but 2≠1
4) dim A=(2,1) , dim B=(1,2) 1=1: result (2,2)
help will give brainliest
Answer:
2
Step-by-step explanation:
The slope is 2
{y = kx + m, k is the slope}