Answer:
x = 2
Step-by-step explanation:
Given a line parallel to a side of a triangle and intersecting the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{6}{x+1}[/tex] = [tex]\frac{4}{x}[/tex] ( cross- multiply )
6x = 4(x + 1)
6x = 4x + 4 ( subtract 4x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
DEFINATION OF HABIT IN 50 WORLDS?
Answer:
Something you do frequently or on a regular basis is known as a habit.
When he gets nervous, he has a cute habit of licking his lips. [includes]
...an investigation into the eating habits of people in the United Kingdom.
Step-by-step explanation:
write answer in equation y=mx+b
Answer:
y = 50x + 150
Step-by-step explanation:
The y-intercept is 150. b = 150
The slope is found using two points such as (2014, 450) and (2010, 250)
m = (450 - 250)/(2014 - 2010) = 200/4 = 50
y = mx + b
y = 50x + 150
Select all expressions that equal −7−(−12) .
A
7+(−12)
B
−7+(−12)
C
−7+12
D
7+12
Answer:
C, -7+12
Step-by-step explanation:
-7--12= 5
-7--12 can also be -7+12
Answer:
The answer is c
Step-by-step explanation:
-7-(-12) = 5
Question 8 (1 point)
At your high school, you are trying to determine the probability that a student takes
Spanish given that the student is taking Marketing. Which of the following
statements explains how to BEST gather the data to determine this probability?
Determine the number of students taking Marketing, the number of students
taking Spanish, the total number of students, and the distribution of students.
Survey students taking Marketing to determine how many also take Spanish.
Survey students taking Spanish to determine how many also take Marketing.
Determine the number of students taking Marketing, the number of students
taking Spanish, and the total number of students.
One type of candy mix contains 30% Smarties by mass. A second type contains 20% Smarties by
mass. What mass of the 30% mix is required to make a 500 gram mixture that will have 24%
Smarties by mass?
Answer:
200 grams
Step-by-step explanation:
Let us represent
The number of grams of
30% smarties = x
20% smarties = y
Hence:
x + y = 500
x = 500 - y
Hence:
30% × x + 20% × y = 24% × 500
0.3x + 0.2y = 120
Substitute 500 - y for x
Hence:
0.3(500 - y) + 0.2y = 120
150 - 0.3y + 0.2y = 120
Collect like terms
- 0.3y + 0.2y = 120 - 150
- 0.1y = -30
y = -30/0.1
y = 300
Solving for x
x = 500 - y
x = 500 - 300
x = 200
Hence,
The number of grams of
30% smarties = x = 200 grams
20% smarties = y = 300 grams
Therefore:
the mass of the 30% mix is required to make a 500 gram mixture that will have 24% Smarties by mass is 200 grams
Randy has 36 tiles.
How should he arrange them so that he has the smallest perimeter?
A.
4 by 9 rectangle
B.
3 by 12 rectangle
C.
1 by 36 rectangle
D.
6 by 6 rectangle
Answer:
Smallest perimeter setup is (6 by 6 rectangle)
Step-by-step explanation:
Given:
Total number of tile = 36
Find:
Smallest perimeter setup
Computation:
Perimeter = 2(a + b)
So,
Perimeter if (4 by 9 rectangle )
Perimeter if (4 by 9 rectangle ) = 2[4+9]
Perimeter if (4 by 9 rectangle ) = 2[13]
Perimeter if (4 by 9 rectangle ) = 26
Perimeter if (3 by 12 rectangle )
Perimeter if (3 by 12 rectangle ) = 2[3+12]
Perimeter if (3 by 12 rectangle ) = 2[15]
Perimeter if (3 by 12 rectangle ) = 30
Perimeter if (1 by 36 rectangle )
Perimeter if (1 by 36 rectangle ) = 2[1+36]
Perimeter if (1 by 36 rectangle ) = 2[37]
Perimeter if (1 by 36 rectangle ) = 74
Perimeter if (6 by 6 rectangle )
Perimeter if (6 by 6 rectangle ) = 2[6+6]
Perimeter if (6 by 6 rectangle ) = 2[12]
Perimeter if (6 by 6 rectangle ) = 24
So,
Smallest perimeter setup is (6 by 6 rectangle)
Select the perfect square trinomial from among the options below!
you will be marked as brainliest
A ) ( x - 3 )( x + 1 ) [ not perfect ]
B ) ( x + 5 - √5 )( x + 5 + √5 ) [ n p ]
C ) ( x + 2 + 2√2 )( x + 2 - 2√2 ) [n p ]
D ) ( x - 6 )( x - 6 ) = ( x - 6 )^2 [ perfect ]
Thus the correct answer is option D .
Work out the size of the angle marked X.
Give your answer correct to 1 decimal place.
Answer:
41.8°
Step-by-step explanation:
We solve using the Trigonometric function of Sine
Hypotenuse = 15cm
x = θ
Opposite = 10cm
sin θ = Opposite/Hypotenuse
sin θ = 10/15
θ = arc sin ( 10/15)
θ = 41.810314896°
θ = Approximately to 1 decimal place = 41.8°
Therefore, x = θ = 41.8°
Jaime needs to buy a new refrigerator for his apartment. He found what he needed for
$1,300 at a well-known appliance store. The store is offering two options for Jaime to
finance the appliance:
Option: A store credit card with a $1,500 limit:
1) The credit card charges 16.5% annual interest rate
2) The minimum monthly payment is $100 plus the monthly
finance charge
3) No down payment required
4) The loan is expected to be paid off in 12 months to avoid
additional penalties
Option II: The appliance store offers an installment loan for his purchase:
Loan charges a simple interest rate of 12,5%
2) Loan must be paid off in 12 equal payments to avoid penalties
A $300 down payment is required
A Which Option should Jaime choose if he wants the interest he pays to be as
small as possible?
The second option should be chosen as it depicts the amount with the lowest interest.
How to calculate the interestFor option 1, the annual interest will be:
= $1300 × 16.5% = $214.50
The monthly finance charge will be:
= $1300 × (0.165/12)
= $17.88
The minimum monthly payment for the first month will be:
= $100 + $17.88 = $117.88
Hence, the total amount paid will be:
= ($117.88 × 12) + $214.50
= $1629.06
For option 2, the simple interest will be:
= (1300 × 12.5%)
= $162.50
The amount that will be paid monthly will be:
= $1000/12
= $83.33.
In this case, the total amount paid will be:
= $162.50 + $1300
= $1462.50
Therefore, the second option is better as it's cheaper.
Learn more about interest on:
https://brainly.com/question/2294792
Help fast, thanks. Will mark brainliest. No links!!
Write the quadratic equation in standard form:
2x^2 - x - 17 = -5
Answer:
In Standard form...
2x² - x -17 +5 = 0
2x² - x - 12 = 0.
Have a great day bro!
Multiply. Express your answer in simplest form. 3 1/2 x 1 2/5. Show work.
Answer:
4 9/10
Step-by-step explanation:
Wants to wrap a shipping box shaped like a rectangular prism. The box is 25 inches tall and has a square base with sides that each measure 6 inches. How much paper will she use?
Answer:
672 square inches
Step-by-step explanation:
Given data
Height= 25inches
Lenght = 6 inches
Width= 6 inches
The expression for the area of the box is given as
TSA= 2 (lh + lw+ hw)
TSA= 2(6*25+ 6*6+ 25*6)
TSA= 2(150+ 36+150 )
TSA= 2*(336)
TSA= 672 square inches
find the diameter of a circle with the circumference of 10cm
Use the Distributive Property to simplify the expression 5(7x + 4).
5 (7x+4)
Answer:
35x + 20
Step-by-step explanation:
5 * 7x
and
5 * 4
then combine them with a plus sign
Answer:
35x + 20
Step-by-step explanation:
Distribute: 5(7x + 4)
5 • 7x = 35x
5 • 4 = 20
35x + 20
Hope this helps, good luck! :)
The cylinder is 40 feet tall and has a radius of 20 feet. The cone is 10 feet tall with the same radius. Approximately how many cubic feet of grain can fit in the silo?
Answer:
54461.33 cubic feet
Step-by-step explanation:
Given data
Height of cylinder= 40 feet
Radius= 20feet
Height of cone= 10 feet
Radius of cone= 20feet
Volume of Cylinder= πr^2h
Volume of Cylinder= 3.142*20^2*40
Volume of Cylinder= 3.142*400*40
Volume of Cylinder= 50272 cubic feet
Volume of Cone= 1/3πr^2h
Volume of Cylinder= 1/3*3.142*20^2*10
Volume of Cylinder= 1/3*3.142*400*10
Volume of Cylinder= 1/3*12568
Volume of Cylinder=4189.33 cubic feet
Hence, the volume of the silo = volume of cylinder+ volume of cone
Volume of silo= 50272+4189.33
Volume of silo=54461.33 cubic feet
What is the arithmetic mean of the following
numbers?
4,9,6, 3, 4,2
Step-by-step explanation:
the arithmetic mean are 14
HOW DO I SOLVE THIS???!!
Answer:
K=32
Step-by-step ex
The width of a rectangle is 5 feet shorter than its length. If the area of the rectangle is 24 square feet, find the dimensions of the rectangle.
Lets look at the possible factors of 24. 24*1, 12*2, 8*3, and 6*4. Only 8 and 3 have a difference of 5, so the rectangle has the dimentions of 8 by 3.
How do you write 0.0006363 in scientific notation?
Answer:
Step-by-step explanation:
Proper scientific notation means that there is only 1 number to the left of a decimal and everything else to the right of it. Also, because the number is initially less than 1, the exponent will be a negative one. We have to move the decimal 4 places to the right in order to get the 6 to the left of it, so in correct scientific notation format, we have
[tex]6.363*10^{-4[/tex]
When did the low temperature occur?
A 0 midnight
B 3 am
C 5 am
D 15(3PM)
Answer:C
Step-by-step explanation:
We can see that at 5 am it is at the lowest point.
Answer:
C 5am
Step-by-step explanation:
The temperature starts at midnight which is 35. But if you look at the bottom of the chart there is a 5am, 10am, 15(3pm). At 5am it went down to 30. And then went back up.
HELP DUE IN 20 MINS!
Write the equation of the following circle:??
Answer:
its 9
Step-by-step explanation:
i pretty sure im right
Please help me!!!! I have been stuck on this question for like a half an hour now.
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Once you are logged in you need to find an article related to Math to read. If you click the search button and type in Math you will find hundreds of articles to choose from.
The name of the article I chose is ____ and the author is ______.
Please write one paragraph in response to the article. In your paragraph summarize the article and specifically explain the connection it has to math.
Contain at least 4 complete sentences.
Have sentences that start with capital letters and end with punctuation.
Be written in your own words.
Include a specific quote or evidence from the article to show the math connection.
Answer:
n geometry, the notion of a connection makes precise the idea of transporting data[further explanation needed] along a curve or family of curves in a parallel and consistent manner. There are various kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for parallel transport of tangent vectors on a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields, measuring the deviation of a vector field from being parallel in a given direction.
Connections are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point. Differential geometry embraces several variations on the connection theme, which fall into two major groups: the infinitesimal and the local theory. The local theory concerns itself primarily with notions of parallel transport and holonomy. The infinitesimal theory concerns itself with the differentiation of geometric data. Thus a covariant derivative is a way of specifying a derivative of a vector field along another vector field on a manifold. A Cartan connection is a way of formulating some aspects of connection theory using differential forms and Lie groups. An Ehresmann connection is a connection in a fibre bundle or a principal bundle by specifying the allowed directions of motion of the field. A Koszul connection is a connection which defines directional derivative for sections of a vector bundle more general than the tangent bundle.
Connections also lead to convenient formulations of geometric invariants, such as the curvature (see also curvature tensor and curvature form), and torsion tensor.
Step-by-step explanation:
Answer:
n geometry, the notion of a connection makes precise the idea of transporting data[further explanation needed] along a curve or family of curves in a parallel and consistent manner. There are various kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for parallel transport of tangent vectors on a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields, measuring the deviation of a vector field from being parallel in a given direction.
Connections are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point. Differential geometry embraces several variations on the connection theme, which fall into two major groups: the infinitesimal and the local theory. The local theory concerns itself primarily with notions of parallel transport and holonomy. The infinitesimal theory concerns itself with the differentiation of geometric data. Thus a covariant derivative is a way of specifying a derivative of a vector field along another vector field on a manifold. A Cartan connection is a way of formulating some aspects of connection theory using differential forms and Lie groups. An Ehresmann connection is a connection in a fibre bundle or a principal bundle by specifying the allowed directions of motion of the field. A Koszul connection is a connection which defines directional derivative for sections of a vector bundle more general than the tangent bundle.
Connections also lead to convenient formulations of geometric invariants, such as the curvature (see also curvature tensor and curvature form), and torsion tensor.
Step-by-step explanation:
The diagram shows nine identical squares inside a rectangle.
The length of the rectangle is 18cm
Work out the width of the rectangle
Answer:
18 cm
Step-by-step explanation:
Let X represent a square
For it to be a rectangle, needs to be:
X X X
X X X
X X X
(It's a giant square made of squares)
This works since a square is a rectangle, but a rectangle isn't always a square. No other arrangement of the squares lead to a rectangle.
For Example:
X X X X
X X X X X
It doesn't work because there is an odd number of squares, and only would work if it was a multiple of 3,5,7 etc.. and 3 is the only number that fits.
So if the length is 18cm, the width is also 18cm.
Of the 585 people that live in Benton, 187 live within two miles of the post office. Use mental math to find how many people live farther than two miles from the post office.
It clearly states to use mental math not brainly, sorry bro can't do anything for you
Which expression correctly illustrates the greatest common factor being factored out of the expression 72 + 40?
A. 2(36 + 20)
B. 4(18+10)
C. 6(12+7) D. 8(9+5)
Carter needs to wrap seven presents. He lays the ribbon out flat and says that I'll have just enough pieces if I make six equally spaced cuts, I can use one piece for each package. And I won't have any pieces left over. Does he have enough pieces to wrap all the presents?
Answer:
Yes, he has enough pieces to wrap the present
Step-by-step explanation:
Given
[tex]Presents = 7[/tex]
[tex]Cuts = 6[/tex]
Required
Is there enough pieces to wrap all presents
As a general rule;
When a piece is cut in 1 place, you get 2 pieces
When a piece is cut in 2 places, you get 3 pieces
When a piece is cut in 3 place, you get 4 pieces
This implies that:
n cuts gives n + 1 pieces
i.e.
[tex]n \to n + 1[/tex]
So, we have:
[tex]6\ cuts \to (6 + 1) pieces[/tex]
[tex]6\ cuts \to 7\ pieces[/tex]
Hence, there are enough pieces.
3/4 + (1/3 ÷ 1/6) - (-1/2)
Please give answer as a fraction
Answer: 13/4
Step-by-step explanation: it was 3.25 and that as a fraction is 13/4
3/4 + ( 1/3 × 6 ) + 1/2 =
3/4 + 2/4 + ( 2 ) =
3 + 2/4 + 8/4 =
5/4 + 8/4 =
5 + 8/4 =
13/4
PLEASE HELP!! THIS FOR THE LAST ASSIGNMENT FOR THE SUMMER!!! 20 POINTS FOR ANSWER AND END OF SCHOOL YEAR!!!
A writer has just finished typing the manuscript for a book that is 354 pages long. There is one illustration on every thirtieth page, starting on page 1. How many illustrations are there?
A. 13 illustrations
B. 11 illustrations
C. 14 illustrations
D.12 illustrations
Answer:
11
Step-by-step explanation:
dont forget to five-star and heart!
you don’t have to tell me the answer i just dk what to do for this problem
Answ either
Step-by-step explanation: