Step-by-step explanation:
Since, K is the midpoint of JL.
[tex] \therefore \: JK = KL \\ 8x + 11 = 14x - 1 \\ 11 + 1 = 14x - 8x \\ 12 = 6x \\ \frac{12}{6} = x \\ 2 = x \\ \\ \because \: JL = JK + KL \\ \therefore \: JL = 8x + 11 + 14x - 1 \\ \therefore \: JL = 8x + 14x + 11 - 1 \\ \therefore \: JL = 22x + 10\\ \therefore \: JL = 22 \times 2 + 10..(plug \: x = 2) \\ \therefore \:JL = 44 + 10 \\ \huge \red{ \boxed{\therefore \:JL = 54}}[/tex]
What is the factorization of the trinomial below?
12x2-x-35
Answer:
(4x−7)⋅(3x+5)
Step-by-step explanation:
Its that because of the steps that you learn
A motorboat goes downstream in river and covers a distance between to coastal towns in 5 hours . It covers this distance upstream in 6 hours . If the speed of the stream is 3 km / hr . Find the speed of the boat in still water .
Answer:
The speed of the boat in still water is 33 km/h
Step-by-step explanation:
Let us denote the speed of the boat in still water as x km/h.
Thus;
Since the speed of the stream is 3 km/h, then while going downstream, the total speed on the boat would be; (x + 3) km/h
Formula for distance = speed x time
Since we are told that the time taken to cover the distance downstream is 5 hours, then;
Distance covered in 5 hours = 5(x + 3) km
Therefore, distance between A and B is 5(x + 3) km
However, while going upstream the boat will work against the water current.
Therefore, its speed upstream will be (x − 3) km/h.
we are told that the time taken to cover the distance downstream is 6 hours, then;
Distance covered in 6 hours = 6(x − 3) km
Therefore, distance between A and B is 6(x - 3) km
The true distance between A and B has to be the same.
So,
5(x + 3) = 6(x - 3)
This gives;
5x + 15 = 6x - 18
15 + 18 = 6x - 5x
x = 33
Therefore, the speed of the boat in still water is 33 km/h
A falcon flew 70 miles in 3 hours. What was the speed of the falcon?
Answer:
23.3333333 miles per hour
23 1/3 miles per hour
10.43093333333333 meters / second
Step-by-step explanation:
Take the distance and divide by the time to find the speed
70 miles / 3 hours
1 mile = 1609.34 meters
1 hours = 3600 seconds
70 miles /3 hours * 1 mile /1609.34 meters * 1 hours / 3600 seconds
10.43093333333333 meters / second
Step-by-step explanation:
speed is normally measured in unit time meaning either per hour,second,minute etc
therefore for this question you will have to find what it travels per hour
if 70 is in three hours what about one hour
therefore
70/3=23.3'
so the speed will be 23.3miles per hour
(the apostrophe is to show recurring you can also round of and ignore it)
So i missed a day at school and don't know how to solve 1.2/8.4 = w/14.
Can anyone help.
Answer:
To find W.
1.2/8.4=w/14.
then cross multiply
which is 14×1.2=8.4w.
16.8=8.4w.
w=2
one number is 7 more 3 times another number. the sum is 75. what is the smaller number
Greetings from Brasil...
According to the statement of the question, we can assemble the following system of equation
X = 7 + 3Y i
X + Y = 75 ii
So, multiplying ii by -1 and adding with i
X = 7 + 3Y
- X - Y = - 75
- Y = 7 + 3Y - 75
4Y = 68
Y = 17
for X we will use ii:
X + Y = 75
X + 17 = 75
X = 58
The smaller number is: 17
solve for n 36=13n-4n
Answer:
n = 4
Step-by-step explanation:
36 = 13n - 4n
<=> 36 = (13-4).n
<=> 36 = 9n
<=> n = 36 / 9
<=> n = 4
PLEASE HELP DUE IN 30 MINUTES!!!
The last two answers for the last question are c. h(g(x))= 1/ (x^2 +4) and d. h(g(x))=1/x^2 +4
Answer:
I'm pretty sure the answer to the third question is C
Step-by-step explanation:
We are solving for h(g(x)).
We already know that g(x) is equal to x^2+4.
So know, we can simplify our expression, h(g(x)), to h(x^2+4).
We also know that h(x)=1/x
we simply substitute x for x^2+4, giving us an answer of 1/(x^2+4)
The left and right page numbers of an open book are two consecutive integers whose sum is 321
Find these page numbers.
Answer:
160 and 161
Step-by-step explanation:
x is the first page and x + 1 is the second page
combine them and you get 2x + 1
2x +1 = 321
this simplifies to
2x = 320
divide by 2
320 = 160
give me brainliest
28 – 18 ÷ 2 x 3 order of operations
Answer:
25
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Write out expression
28 - 18 ÷ 2 x 3
Step 2: Multiply
28 - 18 ÷ 6
Step 3: Divide
28 - 3
Step 4: Subtract
25
Answer: 15
Step-by-step explanation:
(28 - 18) ÷ 2 x 3
Step 1. (28 - 18) = 10
Step 2. 10 ÷ 2 = 5
Step 3. 5 x 3 = 15
The answer is 15
Arthur is organising his collection
of DVDs. He has 130 altogether.
The ratio of comedy films to
action to horror is 4 : 8 : 1
How many of each type of DVD
does he have?
Comedy
DVDs
Action
DVDs
Horror
DVDs
Answer: 40 comedy 80 action 10 horror
Step-by-step explanation:
The difference of 15 and x is 12
Answer:
X is 3
Step-by-step explanation:
15-x=12
X=15-12
X=3
Junior wanted to ride a roller coaster at Six Flags. The sign says you have to be 48 inches to ride the roller
coaster. The roller coaster can travel 540 feet in 6 seconds.
1. What is the unit rate of the number of feet per second the roller coaster would move?
HELP
Answer:
90 feet per second.
Step-by-step explanation:
If it moves 540 feet in 6 seconds, than it moves 540/6=90feet per second.
Not sure what the height requirement has to do with this problem or what 'unit rate' is specifically referring to so this may not be the answer you're looking for but I hope this helped anyway!
show work plz !!!!!!!!!!!!
Step-by-step explanation:
5- 24/6 -8(8)
5-4 -64
-65
Answer:
-63
Step-by-step explanation:
insert in the missing value so it will be
5 - 24/6 - 8*8 you do division and multiplication first
24/60=4 and 8*8=64 so
5 - 4 -64 = negative 63
May I get some help? Thank you!
Answer:
vol. of triangular prism = lbh/2
vol. of rectangular prism = 18 of vol. of triangular prism
18x = 18 + 14x
4x = 18
x=4.5 ft
so vol. of rectangular prism = 6 × 4 . 5 × 3 = 81 ftcube
13. Neely wants to go on a ride at Disney World with a minimum height restriction of
120 cm. She is 3 feet 4 inches tall. Can Neely go on the ride? (1 inch = 2.54 cm)
Explain your answer.
Answer:
101.6cm, no.
Step-by-step explanation:
One foot = 12 inches
Therefore 3 feet = 3x12=36 inches 36+4=40 inches total.
1 inch=2.54cm
40x2.54=101.6cm
So no, unfortunately she cannot go on the ride.
Hope this helped!
If AC = 18 and CD = 5, AD =
please help !! ♡ i need answers to all of them !
Answer:
1. Cardinal Number
2. Ordinal number
3. Integer
4. Counting Number
5. Fraction
6. Base
7. Exponent
8. Factor
9. Prime factor
Step-by-step explanation:
A cardinal number is a number denoting quantity.
Ordinal numbers denote position, like first and second.
Integers are all whole numbers that are negative, and positive. It also includes 0.
Counting numbers are only positive integers.
Fractions always consist of a numerator and denominator.
Bases are always the number below the superscript of an exponent
Exponents are always the superscript of an exponent, such as 9^3. 3 would be the exponent.
A factor is a number that evenly divides into another number. For example, 2 and 4 are factors of the number 8.
Prime factors are factors of a number that are prime. Prime numbers are numbers that have the factors as themselves and the number 1. One example of a prime factor is 3. When given the number 9, 3 is a prime number, and factor of 9.
i really need help please answer this
Answer:
Option 1
Step-by-step explanation:
Solve each piece individually first.
4 ^(1/2) = 2
The 4th root of 16 is 2 so 2/2 = 1
So we have:
2 * 1 - 10 ÷ 2
Order of operations.
2 * 1 = 2 10 ÷ 2 = 5
2 - 5 = -3
The answer is the first option.
Select all the expressions that are equivalent to
5x + 8y + 2.
(Select all that apply.)
3x + y + 2x + 2 + 7y
8x + 4y – 3x + 4 – 3y
2 +12y + x – 4y + 5x
5y + 7 + x – 5 + 4x + 3y
Answer:
The expression equivalent are..
3x+y+2x+2+7y
Step-by-step explanation:
here we want to add the variables of the same in this case
3x 1y
2x 7y 2
__________
5x 8y 2
All the expressions that are equivalent to 5x + 8y + 2 are;
A). 5x + 8y + 2.
B). 5x +y + 4.
C). 5x + 8y + 2
D). 5x + 8y + 2.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given:
Four equivalent expressions,
A). 3x + y + 2x + 2 + 7y
B). 8x + 4y – 3x + 4 – 3y
C). 2 +12y + x – 4y + 5x
D). 5y + 7 + x – 5 + 4x + 3y
Simplifying,
A). 5x + 8y + 2.
B). 5x +y + 4.
C). 5x + 8y + 2
D). 5x + 8y + 2.
Therefore, A, C, and D are the equivalent expressions.
To learn more about the equivalent expression;
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Tell which set or sets the number below belongs to: natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers. 0
Answer:
Step-by-step explanation:
Natural numbers are otherwise called counting numbers. Numbers you can count, and excludes Zero.
Whole number is a little extension of natural numbers in that, they contain Zero. So, they're counting numbers including Zero and excluding negative numbers.
Integers are whole numbers in general. They also include negative numbers.
Rational number is a number that can be written as ratio. It can be written as a fraction in which both the denominator and the numerator are whole numbers.
Irrational numbers are very opposite to rational numbers, and can not be written as fractions.
Real numbers are the culmination of both rational and irrational numbers
How to find 9^4 without multiplying four 9s
22) Round each number to the nearest hundredths place.
a) 7.208
b) 4.871
c) 0.5609
d) 1.81545
e) 9.8542
Answer:
The second place right of the decimal point is the hundredths place. If the next digit is 0 through 4, the hundredths digit remains the same. If the next digit is 5 through 9, the hundredths digit goes up by 1.
a) 7.208 , 7.21 (the 8 causes the 0 to go up to 1)
b) 4.871 , 4.87
c) 0.5609 , 0.56
d) 1.81545 , 1.82 (the 8 causes the 1 to go up to 2)
e) 9.8542, 9.85
reflection coordinate plane
Of the 100 children in the sixth grade
class, 76 can go on the end-of-the-year
field trip. What percentage of the
children can go on the trip?
Any number out of 100 can be quickly converted to percent form by just tacking on the percent sign. This is because "percent" is "per one hundred". Think of 100 cents in a dollar which may help you remember.
So 76/100 = 76%
The temperature in the morning was -3.5 °F. By noon, the temperature had dropped by 1.5 °F. Write an addition expression to represent this scenario.
Answer: (-3.5 + (-1.5))
Step-by-step explanation:
Given the expression :
The temperature in the morning was -3.5 °F. By noon, the temperature had dropped by 1.5 °F. Write an addition expression to represent this scenario.
Morning temperature : - 3.5°F
By Noon : change (drop) in temperature
Addition expression to represent the scenario :
A drop in temperature means a further reduction in the initial temperature level :
Addition expression :
(Morning temperature + ( - drop in temperature))
(-3.5 + (-1.5))
Angle PSR measures 99°. What is the measure of ∠PSQ in degrees?
Answer:
A. 45°
Step-by-step explanation:
m<PSR is given as 99° = m<PSQ + m<QSR
m<PSQ = (3x + 18)°
m<QSR = (9x - 27)°
99 = (3x + 18) + (9x - 27)
Find the value of x using the expression above
99 = 3x + 18 + 9x - 27
99 = 12x - 9
Add 9 to both sides
99 + 9 = 12x
108 = 12x
Divide both sides by 12
9 = x
x = 9
Find m<PSQ
m<PSQ = (3x + 18)°
Plug in the value of x
m<PSQ = 3(9) + 18
m<PSQ = 27 + 18 = 45°
8|x+2|-6=5|x-2|+3 I don’t understand how to solve this problem
Answer:
yes
Step-by-step explanation:
2+ 5 is 6
A factory employee worked 3/4 of an hour to finish 2/5 of a project. At this rate, how many additional hours will the
employee require to finish the project?
0.45
0.5
1.125
01.25
1.875
Answer:
1.125 =x
Step-by-step explanation:
We can use ratios to find the time
We want to find the time needed to finish
1 - 2/5 = 3/5 We need the time for 3/5 of the project
3/4 hours x hours
---------------- = --------------
2/5 project 3/5 project
Using cross projects
3/4 * 3/5 = 2/5 * x
9/20 = 2/5x
Multiply each side by 5/2
9/20 * 5/2 = x
9/8 = x
1 1/8 =x
1.125 =x
Bob is reading a 445 page book. He has already read 157 pages. If he reads 24 pages a day, how long will it take him to finish the book?
Answer:
12 days
Step-by-step explanation:
Set up an equation with y = mx + b, where m is the rate and b is the y-intercept (starting value)
Let x represent how many days it takes and y represent how many pages he read:
445 = 24x + 157
Solve for x:
288 = 24x
12 = x
So, it will take him 12 days to finish the book
Total number of days to complete book is 12 days
Given that;Number of pages in book = 445
Number of pages already read = 157
Number of pages read per day = 24
Find:Total number of days to complete book
Computation:Total number of days to complete book = [445 - 157] / 24
Total number of days to complete book = 288 / 24
Total number of days to complete book = 12 days
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Find the value of x if O is between D & B and DO = 15, OB = 3x + 7, and DB = 9x - 2 x= ____
Answer:
x = 4
Step-by-step explanation:
DO + OB = DB
15 + 3x + 7 = 9x - 2
3x + 22 = 9x - 2
3x + 24 = 9x
24 = 6x
4 = x