The numerical length of BC is 36
How to determine the numerical length of BC?The given parameters are:
AC= 64, AB = 7x + 8, and BC = 3x + 6.
The above means that the point B is between points A and C
So, we have
AC = AB + BC
Substitute the known values in the above equation
64 = 7x + 8 + 3x + 6
Evaluate the like terms
10x = 50
Divide both sides by 10
x = 5
Substitute x = 5 in BC = 3x + 6
So, we have
BC = 3 x 10 + 6
Evaluate
BC = 36
Hence, the numerical length of BC is 36
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Complete question
AC= 64, AB = 7x + 8, and BC = 3x + 6. Find BC
14 less than the product of two and number 16
Answer:
18
Step-by-step explanation:
(2 x 16) - 14 = 32 - 14 = 18
Find the length indicated FIND IK HELP
Answer:
Here is the answer, let me know if I did it wrong.
Answer:
IK = 13 and x = - 12
Step-by-step explanation:
Let's write down each segment and if available express it in terms of x which has to be determined in order to find length of segment IK
We have IK = x + 25 (to be determined)
JK = 2x + 30 (1)
KL (unknown)
IL = x + 34 (2)
JL = 15 (3)
The entire segment
IL = IJ + JL
Substituting for JL = 15 we get IL = IJ + 15
But we are given IL = x + 34
IJ + 15 = x + 34
IJ = x + 34 -15 = x + 19 (4)
IK = IJ + JK
Substituting for IJ = x + 19 from equation (4) and JK = 2x + 30 from equation (1) we get IJ + IK = x + 19 + 2x + 30 = 3x + 49
But we are given that IK = x + 25
So
3x + 49 = x + 25
Moving x from the RHS to the LHS and 49 from the LHS to the RHS we get
3x-x = 25 - 49
2x = -24
x = -12
IK = -12 + 25 = 13
We can verify this by finding the lengths of each segment and seeing they are consistent
We have
IJ = x + 19 = -12 + 19 = 7
JK = 2x + 30 = 2(-12) + 30 = -24 + 30 = 6
IL = x + 34 = -12 + 34 = -23
We also have the fact that JK + KL = JL = 15
Substituting for JK we get
6 + KL = 15
KL = 15-6=9
Total segment length = 7+6 + 9 = 22
x + 34 = -12 + 34 = 22
So it is consistent
Find the coordinates of the point 3/10
of the way from A to B.
The coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)
How to determine the coordinates of the point?The given parameters are:
the coordinates of b is (9,7) the coordinates of a is (-4,-6)The position of the point is given as:
Location = 3/10
Express as ratio
m ; n = 3 : 10 - 3
This gives
m ; n = 3 : 7
The coordinates of the point are then calculated as:
Point = Location * (mx2 + nx1, my2 + ny1)
This gives
Point = 3/10 * (3 * 9 + 7 * -4, 3 * 7 + 7 * -6)
Evaluate
Point = 3/10 * (-1, -21)
This gives
Point = (-0.3, -6.3)
Hence, the coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)
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Complete question
find the coordinates of the point 3/10 of the way from a to b
the coordinates of b is (9,7)
the coordinates of a is (-4,-6)
Round to the nearest given place.
1.80949 thousandths
Answer:
1.809
Step-by-step explanation:
Beacuse 4 is less than 5, the number round down.
I think the answer is 1.809 though im not sure
If m angle A=5x +29 then what is the smallest integer value of x for which angle A would be classified as obtuse
The smallest integer value of x for which angle A would be classified as obtuse is 14°
What is an obtuse angle?An obtuse angle can be defined as an angle that is greater than 90 degrees.
This can be expressed as;
Obtuse angle > x > 90°
Given the angle as A = 5x +29
Let's assume that the value of the obtuse angle is 99 which is greater than 90 degrees.
Now, we have to equate the expression for angle A to 91 degrees.
We have;
5x + 29 = 99
collect like terms
5x = 99 - 29
subtract like terms
5x = 70
To make 'x' the subject, divide both sides by the coefficient of x
5x/5 = 70/5
x = 14°
Thus, the smallest integer value of x for which angle A would be classified as obtuse is 14°
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At the city museum, child admission is $5.50 and adult admission is $9.60. On Saturday, four times as many adult tickets as child tickets were sold, for a total
sales of $1141.40. How many child tickets were sold that day?
Number of child tickets:0
5
The number of child tickets sold that day were 26.
Here, we are given that the fees for admission into the museum is as follows-
Child admission = $5.50
Adult admission = $9.60
Let the number of children admitted on Saturday be x
then the number of adults admitted that day = 4x
Now, the total money from sale of children tickets = $5.50x
the total money from sale of adult tickets = $9.6 × 4x = $38.4x
The total money from sale of tickets = $1141.40
⇒ 5.50x + 38.4x = 1141.40
43.9x = 1141.40
x = 1141.40/ 43.9
x = 26
Thus, the number of child tickets sold that day were 26.
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Ahmad and Dante wash cars in the neighborhood and charge $5 per car. Last year, they worked very hard and were able to wash 450 cars in the year. They have done a little market research and found that for every $0.20 that the price is reduced, they can get 50 more customers.
How much did Ahmad and Dante earn last year?
The amount earned by Ahmad and Dante as at last year as required in the task content is; $2,250.
In order words, the total amount of money which was both earned by Ahmad and Dante is $2,250.
What is the amount earned by Ahmad and Dante last year according to the task content?
It follows from the task content that the amount earned by Ahmad and Dante last year is to be determined.
Since, the charge was still $5 per car last year and the washed 450 cars.
Their total earnings last year is therefore;
= 450 × $5
= $2,250.
Ultimately, they earned $2,250 last year from washing cars.
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Which point is a reflection of Z (5 1/2, 3) across the x-axis
The reflection of Z (5 1/2, 3) across the x-axis is (5 1/2, -3).
Here,
The given point is Z (5 1/2, 3).
We have to find the point of reflection of Z (5 1/2, 3) across the x-axis.
What is Reflection across x-axis?
A point after reflection across the x-axis, the x- coordinate remains the same but y - coordinate is taken to be the additive inverse.
Now,
Since, The given point Z (5 1/2, 3) is lie on first coordinate.
Hence, The reflection of the point Z (5 1/2, 3) is lie on the third coordinate.
And, In the third coordinate the x-coordinate is positive and y-coordinate is negative.
Since, The rule of the reflection across x- axis is,
(x, y) → (x, -y)
So, The reflection of the point Z (5 1/2, 3) across the x - axis = (5 1/2, -3)
Therefore, The reflection of Z (5 1/2, 3) across the x-axis is (5 1/2, -3).
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What two "rules" govern sets, and what do they imply about the nature of sets?
Two of some of the rules that govern set are:
Universality: This implies all the elements in the setintersection: This means similar elements between sets comparedWhat is universal set?The term universal set is used in set to refer to all the elements in the set that is determined, This means that any other set has their elements in the universal set, hence other sets are members of the universal set. The universal set is the set from which other sets are generated from.
What is intersect in set?Intersect as used in set refers to elements that can be seen in two or more sets that are being compared. If two sets has no intersection, then then do not have elements alike,
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Sacha picked some apples from a tree in her garden. She then gave some to her friends. To her
first friend, she gave half the apples she had, plus 2 more. To her second friend, she gave half the apples she had left, plus 2 more. And she did the same thing for her third friend. After giving away all these apples, she had 1 apple left. Find how many apples she originally pick from the tree.
Step-by-step explanation:
x = apples picked from the tree
x1 = x/2 + 2
x2 = (x - x1)/2 + 2 = (x - (x/2 + 2))/2 + 2 =
= (x - x/2 - 2)/2 + 2 = (x/2 - 2)/2 + 2 =
= x/4 - 1 + 2 = x/4 + 1
x3 = (x - x1 - x2)/2 + 2 = (x - (x/2 + 2) - (x/4 + 1))/2 + 2 =
= (x - x/2 - 2 - x/4 - 1)/2 + 2 =
= (x/4 - 3)/2 + 2 = x/8 - 3/2 + 2 = x/8 + 1/2
x - x1 - x2 - x3 = 1
x - x/2 - 2 - x/4 - 1 - x/8 - 1/2 = 1
x/8 - 3 - 1/2 = 1
x/8 = 4 1/2 = 9/2
x = 9×8/2 = 9×4 = 36
she had originally 36 apples
x1 = 20
x2 = 10
x3 = 5
3. Bryan spent $13.00 of the $25.00 he got for his birthday. What decimal represents the fraction of birthday money Bryan spent?
===================================================
Explanation:
Use your calculator to type in either 13/52 or 13 ÷ 52
The calculator should display 0.52 as the answer. The decimal 0.52 converts to 52%
The steps for the long division are shown below.
One side of a rectangle is 9 feet shorter than three times another side. Find the length of the shorte
ide if we also know that the perimeter of the rectangle is 126 feet.
F=?
The shorter side of the rectangle is 18 feet.
How to Find the Perimeter of a Rectangle?Perimeter of a rectangle = 2(l + w), where w is the width of the rectangle and l is its length.
Given the following:
Another side of the rectangle = width = w
One side of the rectangle = length = 3w - 9
Perimeter of the rectangle = 126 feet
Therefore:
2(3w - 9 + w) = 126
2(4w - 9) = 126
8w - 18 = 126
8w = 126 + 18
8w = 144
8w/8 = 144/8
w = 18
One side of the rectangle = 3w - 9 = 3(18) - 9 = 45
Therefore, the shorter side of the rectangle is 18 feet.
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How many integers a satisfies |2a+7|+|2a−1] =8?
Answer:
3
Step-by-step explanation:
Will mark brainliest please do right answer.
Answer:
option (1), (4),(5)
Step-by-step explanation:
(1)
-7 + (-8) = - 7 - 8= - 15 < -8
(2)
- 42 ÷ (-6) = 7 > -8
(3)
- 4 + (-4) = - 4 - 4 = - 8 = - 8
(4)
6(-3)= - 18 < - 8
(5)
-5-7= -12 < - 8
(6)
-28 ÷ 7= -4 > - 8
Evaluate the following expression.
5×[5+(17–5)=4]
Pls Helppp need it now
Answer:
down one over two( point on -8 then down one over two
Step-by-step explanation:
this might be the right answer please let me know
Multiply the fractions. Select the answer that is in simplest form.
5x1 1/9
The product of the numbers 5 and [tex]1 \frac{1}{9}[/tex] will be equal to the fractional number 50/9.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
The numbers are given below.
5 and [tex]1 \frac{1}{9}[/tex]
The product of the numbers 5 and [tex]1 \frac{1}{9}[/tex] will be
[tex]\rightarrow 5 \times 1 \dfrac{1}{9}[/tex]
⇒ 5 x 10 / 9
⇒ 50/9
The product of the numbers 5 and [tex]1 \frac{1}{9}[/tex] will be equal to the fractional number 50/9.
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The trumpet player in a jazz band receives $64 in tips and a portion of the band's
earnings for a performance. The band earns $960 and pays the band manager
$144. The 4 band members split the remaining earnings evenly. The equation
below represents the total earnings, T, of the trumpet player.
T = 64+ (960-144) ÷ 4
What are the total earnings of the trumpet player?
Answer:
T = 320
Step-by-step explanation:
64+ (960-144) ÷ 4 = 64+ (816) ÷ 4 = 64+ 204 = 320
My bill is normally $90 but has gone up to $108 what is the percentage it went up by
Answer:
it went up 20%
Step-by-step explanation:
QUESTION BELOW SLOVE USING NTH TERM!
I found this
im using T for tails and H for heads
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
MOVE 1# TTTT
MOVE 2#THHH
MOVE 3#HTTH
MOVE4#HHHT
MOVE5#TTTH
end up like =HHHH
HOW DO I WRITE THIS OUT FOR NTH TERM.
THE QESTION IS BELOW! WILL GET 100 POINTS! PLEASE HELP BEEN STUCK ON THIS FOREVER!
Answer:
thanks bro bro
Step-by-step explanation:
anyways you gotta to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times
WHats this-2 1/6+(-2/3)
its 150/230, again the answer is -709/216
again the answer is -377/008. alright hope I helped you out with your question you have stated.
Determine the percent change in the price of an item that was selling for $230.00 last
year, and is being sold for $184.00 this year.
Please help identify the slope for the graph thank you
Answer:
Undefined or y = 3
Step-by-step explanation:
I think it's Undefined. But if it asks for rise/run it is (0,3)
tbh only answer if you are the user "beinggreat78" I dont trust the rest of yall
Answer:
hi ik you dont trust me however id like to say that the answer is A. 41.6
Step-by-step explanation:
hope this helps <3 (also i put this into a calculator to double check my work and it was still 41.6)
Answer:
41.6
Step-by-step explanation:
Move the decimal 1 place to the right according to the laws of exponents.
since the exponent is 1, that's why we move it 1 place right. if the exponent was -1, it would go to the left, and the number would become "0.416".
A spaceship has a mass of 9000kg. The spaceship is launched from Earth and lands on a distant planet, where it has a gravity of 25 m/s2. What is the weight?
The weight of the spaceship that has a mass of 9000kg is 22936kg.
How to illustrate the information?It should be noted that the mass in a body simply means the measure of the quantity if the matter that the body has.
It should be noted that it is also the body of the inertia.
In this case, the spaceship has a mass of 9000kg. The spaceship is launched from Earth and lands on a distant planet, where it has a gravity of 25 m/s². Therefore, the weight will be:
= 9000 /9.81 × 25
= 22936kg
Therefore, the weight of the spaceship that has a mass of 9000kg is 22936kg.
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Write down all the prime numbers between 20 and 35
Answer: The prime number are 23,29,31
Step-by-step explanation:
given f(x)=3(4-x) what is the value of f(-2)
Does the given matrix, A, have an inverse? If it does, what is A-¹? (1 point)
The inverse of a matrix A is A^-1. And I, the identity matrix, is equal to A.A^-1.
The square matrix needs to be non-singular and have a non-zero determinant value in order to get the inverse matrix. Let's think about the 2 x 2 square matrix A.
Inverse of matrix:
A^(-1)=Adj A/|A|
A-1 stands for Inverse of Matrix for matrix A. There is a straightforward formula for calculating the inverse of a 2 × 2 matrix. In order to find the inverse of a matrix of order 3 or higher, we also need to be aware of the matrix's determinant and adjoint. When multiplied by the provided matrix, the other matrix that serves as the inverse of that matrix yields the multiplicative identity.
There are two ways to find a matrix's inverse. Through the use of an adjoint of a matrix and simple processes, it is possible to derive the inverse of a matrix. Row or column transformations can be used to carry out the basic operations on a matrix. Additionally, the adjoint and determinant of the matrix can be used to apply the inverse of matrix formula in order to get the inverse of a matrix.
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Help me on this question please.
Answer:
67.5
Step-by-step explanation:
Hope this Helps! Be sure to study this so you get it you really just need to subract!
Please help I can’t solve 14,15,16
Answer:
chcicken
Step-by-step explanation: