If B is between A and C and AB= x+4,BC= 2x-2 and AC= 4x-1, then the length of the AB is 3 units
The point B is between A and C
AB = x+4
BC = 2x-2
AC = 4x-1
We know,
AC = AB + BC
Substitute the value in the equation and find the value of x
4x-1 = x+4 + 2x-2
4x-1 = 3x-2
4x-3x = -2+1
x = -1
Then,
AB= x+4
Substitute the value of x in the equation
AB = -1+4
AB = 3 units
Hence, If B is between A and C and AB= x+4,BC= 2x-2 and AC= 4x-1, then the length of the AB is 3 units
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How to find A and B?
Answer:more work pls
Step-by-step explanation:
In a class of 99 students, one student is 1% of the class (when rounded to the nearest whole percent) and, 99 of the students represent 100%. What positive integer between 1 and 100 cannot be represented as a whole percent?
The positive integer between 1 and 100 that cannot be represented as a whole percent are 8, 15, 36 and many more.
How to find the positive integer that cannot be represented as a whole percent?The class has 99 students.
One student of the class is 1% of the class when rounded to the nearest whole percent. The actual percentage of one student is 1 / 99 × 100 = 100 / 99 = 1.0101010101%
99 of the students represents 100% of the students.
99 / 99 × 100 = 9900 / 99 = 100%
Therefore, the positive integer between 1 and 100 that cannot be represented as a whole percent is as follows:
36, 15, 8 and many more.
8 / 99 ×100 = 800 / 99 = 8.08080808081%
15 / 99 × 100 = 1500 / 99 = 15.1515151515 %
36 / 99 × 100 = 3600 / 99 = 36.3636363636 %
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Question 27 help pls
Using a system of equations, it is found that you should mix 7 pounds of dried fruit and 3 pounds of nut.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given as follows:
Variable x: Number of pounds of dried fruit mix.Variable y: Number of pounds of nut mix.The mixture has a total of 10 pounds, hence:
x + y = 10 -> y = 10 - x -> x = 10 - y.
Considering the cost per pound of each, and the total cost of 10 x 5.34 = $53.4, we have that:
4.5x + 7.3y = 53.4.
Replacing x = 10 - y, we have that:
4.5(10 - y) + 7.3y = 53.4.
2.8y = 8.4.
y = 8.4/2.8
y = 3.
x = 10 - 3 = 7.
You should mix 7 pounds of dried fruit and 3 pounds of nut.
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Round to the nearest one-hundred dollars: $3,245.31
A $3,245.30
B $3,300.00
C $3,200.00
D $3,000
Answer:
C
Step-by-step explanation:
Our choices would be 3,300 for 3,200. Those would be the answer rounded to the nearest 100 up and down. 3245.31 is between those numbers. Which number would it be closer to? 3200.
please help..I am.so.confused
Answer:
67
Step-by-step explanation:
Answer:
there asking you what the veritable represent
What is a solution to this equation?
(1 − 3x)¾ − 1 = x
Answer:
x= -1/3
Step-by-step explanation:
3/4-9/4x-1=x
-1/4-9/4x=x
-1-9x=4x
-9x=4x+1
-9x-4x=1
-13x=1
x= -1/13
hope this helps
What is the range of function represented by this graph?
PLEASE HELP
8√18 x 3√8 =
Answer:
hope this helps
Step-by-step explanation:
Work out the missing number in this sum:
6.802 6 + 0.8+___
Answer: The answer might be 0.002
Step-by-step explanation: Looking at the number made it look like it.
and pls brainliest if I am right
A zoologist needs to dive into the shark exhibit to supervise its cleaning. The depth of the water in the exhibit is 40 feet, and the divers can safely descend at a rate of 2 feet per minute. Which number expresses how deep below the water the divers are after 15 minutes? − 30 feet − 15 feet − 40 feet − 2 feet
Answer:
30 feet
Step-by-step explanation:
1 minute = 2 feet
15 minute = ? Feet
15 x 2 = 30
? = 30 feet
Can somebody help me if you know what this is
Answer:
C
Step-by-step explanation:
this question is horribly phrased.
as far as I can tell after reading this multiple times, this is again looking for the GCF : the greatest common factor.
so, again, prime factor analysis :
168 :
168 ÷ 2 = 84
84 ÷ 2 = 42
42 ÷ 2 = 21
21 ÷ 2 no
21 ÷ 3 = 7
7 ÷ 3 no
7 ÷ 5 no
7 ÷ 7 = 1 finished
168 = 2³×3×7
120 :
120 ÷ 2 = 60
60 ÷ 2 = 30
30 ÷ 2 = 15
15 ÷ 2 no
15 ÷ 3 = 5
5 ÷ 3 no
5 ÷ 5 = 1 finished
120 = 2³×3×5
the GCF is the part of the prime factors both numbers share :
2³×3 = 8×3 = 24
so, they can make 24 fruit cups with identical content and using all the fruits.
these pieces of information were missing in the text.
based on the text without the answer options I was already going for the maximum that each fruit cup has one piece of fruit, and that gives us 168 + 120 = 288 fruit cups max.
Give the rate in miles per hour round to the nearest tenth Rachel jogs 20 feet in three seconds
Answer: The Rate of jogging is 4.6 miles per hour.
Step-by-step explanation: i really hope this helps (:
Write the expression in words 25+24 divide 6
The expression in words 25+24 divide 6 will be the addition of 25 and 24 divided by 6.
How to illustrate the information?It should be noted that an expression simply shows the relationship that exists between the variables.
In this case + means addition.
Therefore, the expression in words 25+24 divide 6 will be the addition of 25 and 24 divided by 6.
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During a war, allies sent food and medical kits to help survivors. Each food kit helped 8 people and each medicine kit helped 6 people. Each plane could carry no more than 80,000
food kit weighed 20 pounds and each medicine kit weighed 10 pounds. In addition to the weight constraint on its cargo, each plane could carry a total volume of supplies that did no
cubic feet. Each food kit was 1 cubic foot and each medical kit also had a volume of 1 cubic foot. Assume that those helped by medicine kits were not helped by the food kits and vi
was the maximum number of people that could be helped with one plane of supplies?
Using a system of equations, it is found that the maximum number of people that could be helped with one plane of supplies is: 40,000.
What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
For this problem, the variables are given as follows, considering the situation described:
Variable x: number of food kits sent.Variable y: number of medicine kits sent.Each food kit helped 8 people and each medicine kit helped 6 people, hence the total number of people helped is given by:
T = 8x + 6y.
This is because we consider that people were helped by only one of them, never both.
Each plane could carry no more than 80,000 pounds. Each food kit weighed 20 pounds and each medicine kit weighed 10 pounds, hence:
20x + 10y = 80000
2x + y = 8000
y = 8000 - 2x.
The maximum volume is of 6000 cubic feet, hence:
x + y = 6000.
y = 6000 - x.
Equaling both equations:
8000 - 2x = 6000 - x
x = 2000.
y = 6000 - x = 4000.
Then the maximum number of people helped is:
T = 8x + 6y = 8 x 2000 + 6 x 4000 = 40,000.
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3
- 3
19 ÷ +525
(Simplify your answer.)
Answer:
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
{x|-1
Enter the solution in interval notation
PLEASEEE HELLPPPP
Mr. Lee is retiling his pantry floor. His pantry measures 4½ feet by 6½ feet. Each tile he plans to use measures ½ foot by ½ foot.
Answer:
117 tiles
Step-by-step explanation:
Area of rectangle = length * width
To find the number of tiles divide the area of pantry floor by the area of a tile.
Convert mixed fraction to improper fraction.
[tex]\sf 4\dfrac{1}{2}=\dfrac{9}{2}\\\\\\6\dfrac{1}{2}=\dfrac{13}{2}[/tex]
[tex]\sf \boxed{\text{\bf Number of tiles = $\dfrac{Area \ of \ floor}{area \ of \ a \ tile}$}}[/tex]
[tex]\sf = \left(\dfrac{9}{2}*\dfrac{13}{2}\right ) \ \div \left(\dfrac{1}{2}*\dfrac{1}{2}\right)\\\\\\= \left(\dfrac{117}{4}\right) \ \div \left(\dfrac{1}{4}\right)\\\\\\[/tex]
Use KCF method.
Keep the first fraction.Change division to multiplication.Flip the second fraction.[tex]\sf =\dfrac{117}{4}*\dfrac{4}{1}\\\\= 117[/tex]
4. Philips is given an interest free loan to buy a LCD television. He needs to repay the loan by monthly instalments. He repays RM35 for the first month, RM38 for the second month and the repayment increase by RM3 each month until the loan is fully settled.
(a) Show that the monthly instalment earned form an arithmetic series and state its common difference. [2 marks]
(b) If the final monthly instalment if RM212, calculate the number of months it takes Philips to settle the loan. [4 marks]
(c) Determine the sum of the loan taken. [4 marks]
The monthly instalment amounts forms an (a) Arithmetic Progression with common difference 3. (b) Phillips takes 60 months to settle the loan. (c) The sum of the loan is $7410 .
A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
The n-th term of an arithmetic progression is given by:
aₙ = a + ( n - 1 ) d
Where a is the first term and d is the common difference .
(a) Amount of money repaid in the first month = $35
Amount of money repaid in the second month = $38
Amount of money repaid in the third month = $ (38+3) = $ 41
Therefore 41 -38 = 3 and 38 - 35 = 3 . So we see that each monthly instalment is increasing by 3 and the difference between each installment is 3
Therefore the numbers are in an arithmetic progression whose common difference is 3 .
(b) Given the final monthly installment is $ 212
Let us consider that after this is the installment for the n-th month.
∴ aₙ =212 , a= 35 and d=3
Putting the values in the equation of the n-th term of an AP we get:
aₙ = a + ( n - 1 ) d
or, 212 = 35 +(n-1)3
or, 212 - 35 + 3 = 3n
or, n = 60 months
Therefore Phillips takes 60 months to settle the loan.
(c) The formula for the sum of all terms of an AP is given by:
S = (n / 2 ) ( a + aₙ )
or, S = (60/2) × (35+212)
or, S = 30 × 247
or, S = 7410
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What is the value of x in the equation 1/5x - 2/3y =30, when y = 15
Answer:
x = 200
Step-by-step explanation:
1/5x - 2/3y = 30 when y = 15
2/3 * 15 = 10
1/5x - 10 = 30
1/5x = 40
x = 200
Answer:
x = 200
Step-by-step explanation:
=> [tex]\frac{1}{5}x-\frac{2}{3}y=30[/tex]
=> Put the value of y into the equation
=> [tex]\frac{1}{5}x-\frac{2}{3}*15=30[/tex]
=> Simplify
=> [tex]\frac{1}{5}x-10=30[/tex]
=> Shift the 10 to the right side
=> [tex]\frac{1}{5}x=40[/tex]
=> Solve For x
=> [tex]x = 200[/tex]
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A cannonball is fired in the air at an angle of 45∘. How far does it travel before it is
1,700 feet above ground? (Assume the cannonball travels in a straight line. Ignore the force of gravity and wind resistance. Give your answer to the nearest foot.)
It travels 2404 feet before it is 1,700 feet above ground;
The given question can be represented in the form of equation;
y = tan(45°)x + c;
Since it is launched from ground; c = 0;
thus; y = x is the equation of motion of cannonball;
According to question; y = 1700 feet
x = 1700 feet;
The distance travelled by cannonball will be
√(x² + y² = √(1700² + 1700²) (∵ it is a right angled triangle;
using Pythagoras theorem)
= 2404.16 feet
≅ 2404 feet
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A school club consists of 26 male students and 11 female students. If 4 students are selected to represent the club in the student government, what is the probability 2 will be male and 2 will be female?
The probability of selecting two male students is 0.47
The probability of selecting two female students is 0.08
Given,
Number of male students in a school club = 26
Number of female students in a school club = 11
Total number of students in the club = 26 + 11 = 37
Number of students selected to represent the club in the student government = 4
We have to find the probability of selecting 2 male and 2 female students:
Then,
The probability of selecting two male students = (26 / 37) × (25 / 37) = 0.47
The probability of selecting two female students = (11 / 37) × (10 / 37) = 0.08
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1,402 x 71 is 71 less than 1,402x 71) -40 yes or no
No , 1,402 x 71 is 71 is not less than (1,402x 71) -40 .
An arithmetic} expression in mathematics is AN expression that is formed from variables and constants, in conjunction with pure mathematics operations (addition, subtraction, etc.). Expressions area unit created from terms.We have given two numbers 1,402 x 71 and (1,402x 71) -40.
As we can see that in second expression we have subtracted 40 from 1,402 x 71 .So , It is obvious that value of second expression will differ by first expression by 40 .
Hence , 1,402 x 71 is 40 more than (1,402x 71) -40 .
So , it is not possible to have 1,402 x 71 is 71 less than (1,402x 71) -40
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In the adjoining figure, AB//CD. Show that, AC//BD.
Learn
for
A
70°
C
50%
B
60%D
T
As shown in the next figure, AB/CD results in AC/BD.
The definition of alternating interior angleWhen a transversal connects two coplanar lines, alternate interior angles are created. They are located on the transverse sides of the parallel lines, but on the inner side of the parallel lines.
based on the given value;
we are aware of this;
The adjacent figure displays
AB//CD.
∠BCD=∠ABC=50
(By alternating interior angle are equal)
∠ACB=70
∠ACD=∠BCD+∠ACB
=50+70
=120
∠CDB=60
∠ACD+∠CDB=180
Hence; AC//BD
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3 consecutive numbers have a sum of 120. Write an equation to
determine what numbers these are, and find them.
The formula for calculating commission is
A c=x-y
B c=y-x
C c=mx+b
D c=prn
Caitlin started with 18 stuffed animals and gave away x stuffed animals. Allie started with 30 stuffed animals and gave away three times as many stuffed animals as Caitlin did. How many stuffed animals did Caitlin give away, given they had the same number of stuffed animals left?
1. 2 stuff animals
2. 6 stuff animals
3. 12 stuff animals
4. 16 stuff animals
Answer: 6 stuff animals
Step-by-step explanation: Caitlin give away 6 and Allie give away 6 x 3 = 18 and she had 12 left so that leaves both of them with 12
Hope that helped!
Which of the sets can be placed in a one-to-one correspondence?
a. {1,2,3,4,5) and {m,n,o,a,r}
b. {a,b,c,...,f} and {4,8,12,...,20}
c. {t It is a letter in the word jar) and {1,2,3,4}
PERFORMANS
O No
OYes
a. Can the sets {1,2,3,4,5) and (m,n,o,a,r} be placed in a one-to-one correspondence?
MUSICIA
FILOLETN
TRIOTO PRESE
INNOINS FORE
The set which can be placed in a one to one correspondence is:
a. {1,2,3,4,5) and {m,n,o,a,r}
b. Yes.
A rule or method that matches every element of set A with exactly one element of set B and every element of set B with exactly one element of A is known as a one-to-one correspondence.
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the perimeter of a rectangle is 92. the length is (2x+3) and the width is (x+7) . find x
Answer:
x= 12
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of all its sides.
Formula
Perimeter of rectangle= 2(width) +2(length)
Substitute the given information into the formula:
92= 2(2x +3) +2(x +7)
Expand:
92= 4x +6 +2x +14
92= 6x +20
Subtract 20 from both sides:
6x= 92 -20
6x= 72
Divide both sides by 2:
x= 72 ÷6
x= 12
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At a carnival, Jenny bought 7 packs of 13 tickets each. She has used 39 of the tickets so far. How many tickets does she have left?
Answer:
52 tickets
Step-by-step explanation:
7 x 13 = 91
91 - 39 = 52
Find the sum..
74 − (−12)
Answer:
86
Step-by-step explanation:
Adding integers:
74 − (−12)
We are subtracting a negative, which is like adding
74 + (12)
86