Answers
Answer:
Second number line represents the [X-5]=1.
Step-by-step explanation:
Given : [X-5]=1 .
To find : Which number line represents the solutions to [X-5]=1.
Solution : We have given that [X-5]=1.
We can se the value x-5 is inside the modulus it may be positive or negative.
So, we will do it by both cases.
1) (x - 5) = 1
On adding by 5 both sides.
x = 1+5 = 6
x = 6.
2) if -(x-5) = 1
remove parenthesis
-x +5 = 1
On subtracting by 5 both side
-x = -4
On dividing by -1 both side
x = 4.
So , x = 4, 6.
Therefore , the second number line represents the [X-5]=1.
Related Questions
37.
An express train travelled at a certain average speed from Town X to Town Y which was
150 km away. It then continued its journey to Town Z at an average speed 20 km/h faster than
its initial average speed. Town Ywas 200 km from Town Z. If it took the same time to travel for
both parts of the journey, what was the train's average speed for the first part of the journey?
Answers
Answer:
60 km/hr
Step-by-step explanation:
Let the speed at the initial average speed from Town X to Town Y be a.
We are told that it journeyed to Town Z at an average speed 20 km/h faster than its initial average speed. Thus, its average speed here is (a + 20) km/hr.
Town Y was 200 km from Town Z.
Thus, time spent here is;
t_2 = 200/(a + 20)
Time from X to Y is; t_1 = 150/a
We are told that it took the same time to travel for both parts of the journey.
Thus; t_1 = t_2
150/a = 200/(a + 20)
Cross multiply to get;
150(a + 20) = 200a
150a + 3000 = 200a
200a - 150a = 3000
50a = 3000
a = 3000/50
a = 60 km/hr
the price of a pair of sneakers increases from $52 to $64. what is the percent increase. round to the nearest percent. show all work
Answers
Answer: Step 1: Calculate the change by subtracting old cost ($52) from the new cost ($64)
Step 2: Divide that change by the old cost ($52). You will get a decimal number
Step 3: Convert the decimal number to a percentage by multiplying by 100%
It's not the answer but it help to answer the question:)
Step-by-step explanation:
What is the coefficient in the mathematical expression?
14+2.7x3
14
2.7x³
x³
2.7
Answers
Answer:
14
Step-by-step explanation:
The coefficient is the is the one by it's self with no variables or exponents
What is the length of the the midsegment of a trapezoid with bases of length 14 and 22?
The length of the midsegment of a trapezoid with the given bases is
Answers
Answer:
it would be about 138 for the hole thing
Step-by-step explanation:
find the distance between points P(5,8) and Q(1,7) to the nearest tenth
Answers
Answer:
[tex]length = \sqrt{ {(x _{1} - x_{2} )}^{2} + {(y _{1} - y_{2} })^{2} } \\ = \sqrt{ {(5 - 1)}^{2} + {(8 - 7)}^{2} } \\ = \sqrt{16 + 1 } \\ = \sqrt{17} \\ length = 4.1 \: units[/tex]
Can someone help me with this.
Answers
Answer:
the factors are:
[tex]\frac{2}{3}\times \frac{3}{5}[/tex]
Option C is correct option.
Step-by-step explanation:
The overlapping section(green colours common for both) while blue represents first factor and yellow represent second factor.
Solving:
The first part of the factor is considered horizontal rows (as shown in figure)
So, we have 3 horizontal rows and 2 rows are coloured so, the fraction will be: [tex]\frac{2}{3}[/tex]
For the second factor, we consider vertical columns (as shown in figure)
So, we have 5 columns and 3 columns are coloured so, the fraction will be: [tex]\frac{3}{5}[/tex]
So, the result will be:
[tex]\frac{2}{3}\times \frac{3}{5}=\frac{6}{15}[/tex]
So, the factors are:
[tex]\frac{2}{3}\times \frac{3}{5}[/tex]
Option C is correct option.
help please i hate math
Answers
n= -3
Otto is told the average low temperature in January is 16.1∘C cooler than the average low temperature in November. What equation can Otto use to find the average low temperature in January?
Answers
Answer:
x - 16.1°C
Step-by-step explanation:
Given that average low temperature in January is 16.1 cooler Than average low temperature in November
Let average low temperature in November = x
Since, average low temperature in January is cooler than average low temperature in November, then, January temperature is less Than in November
Hence,
Average low temperature in January :
[Average low temperature in November - 16.1°C]
(x - 16.1°C)
Is the following a function?
{-1,5), (2, 5), (3,5) (8,5)}
Answers
Answer:
Yes
Step-by-step explanation:
A function is where each x value maps to one y-value -> and that is true here.
Even though the 5 is repeated, different x-values are used, so that is okay.
It would just be a straight line.
HELpp plz
Choose the inequality symbol (>,
<
=
Answers
Answer:
uhhh >
Step-by-step explanation:
Answer:
5 __>__ 3.987
Step-by-step explanation:
A garden table and a bench cost S585 combined. The garden table costs S65 less than the bench. What is the cost of the bench?
Answers
Answer:
Bench costs $325
Step-by-step explanation:
Try setting up an equation
x = cost of garden table
y = cost of bench
equation 1: x + y = 585
We also know that the table costs 65 dollars less than the bench.
cost of garden table = bench - 65
or
equation 2: x = y - 65
Now just substitute equation 2 into equation 1
(y-65) + y = 585
and solve for y
2y-65 = 585
2y = 585 + 65 = 650
y = 325 = cost of bench
how do yo do this question I have to
Solve the System by Substitution:
y = x-2
x + y = 4
Answers
Answer:
x=3
y=1
Step-by-step explanation:
We know that y is basically two less than x, so we can plug that into the second equation:
x+ (x-2) = 4
We can now simplify:
2x-2=4
2x=6
x=3
After finding x we can now find y with any equation (both work):
y= 3-2
y=1
Hope this helped!
Answer:
x = 3, y = 1Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( 3 , 1 )
Hoped this helped :}Simplify the expression 5 to the power of 3 x 5 to the power of -5.
Answers
Answer:
5^-2
Step-by-step explanation:
5^3 * 5^-5
~Use exponent rule [ x^y * x^z = x^y+z ]
5^3+(-5)
~Simplify
5^-2
Best of Luck!
which ratio is greater 8/15 or 5/9
Answers
Answer:
5/9
Step-by-step explanation: If you find a common denominator ( i found 135 ) and you multiply each numerator by the number u multiplied the denominator to get the common denominator, you can see that 5/9 is greater. hope this helps and sorry if that was confusing
Answer:
5/9 is greater
Step-by-step explanation:
As numerator of second ratio is greater, Hence, 5/9 is greater.
Please help me with this I’ll mark brainiest
Answers
Answer:
44/2 = ?/22
I am so glad I could help!
If you need any more help, make sure to send me a friend request.
Make sure to rate, like and give brainliest so I know how well I did.
-maddy <33
get me the ans Two circles with radii 3.5 cm and 2.5 cm touch each other internally. Find the distance between their centres.
Answers
hell
Step-by-step explanation:
yctctcyhuhyfs4fugubucrftvuvjbhgxtxt. h. h
Need a little help. bananas a ssn as ssbs s s s sbs ssb ssb sbs ssb ssb sbs ssb
Answers
Answer:
x = 23
Step-by-step explanation:
the angles in a triangle add up to 180
the square means 90
90 + 67 + x = 180
157 + x = 180
157 - 157 + x = 180 - 157
x = 180 - 157
x = 23
destiny just recived two seprate gifts from her great-grandmother
Answers
Answer:
And 2 from grand-pa pa
Step-by-step explanation:
Answer: 6 snack bags
Step-by-step explanation:
In rder to know mnay bags destiny ca make, we need a number is a factor of 18 and 12, so that the 18 chocolate candy bars and the 12 cookies can be divided up evenly.
So, if there were 2 bags, thre would be 18÷2=9 chocolate candy bars and 12÷2=6 cookies in a bag. This creates identical snack bags, but isn't the greatest number of bags!
To find the greatest snack bag, we want to find the greatest common factor of 18 and 12
To do so, let's find factors of 18 ans 12
18: 1, 2, 3, 6, 9, 18
12: 1, 2, 3, 4, 6, 12
The greatest common factor of 18 and 12 is 6. in math notation this looks like:
gcf (18, 12) = 6
The greatest number of identical bags can make is 6
9 ,6 ,3, 0, -3, -6
b) Work out, in terms of n, the nth term of the sequence.
Answers
help please i’ll give brainliest.
ΔABC is similar to ΔFED. Answer the questions to find the length of DF .
1. Which side in ΔFED does AB in ΔABC correspond to?
Write your answer in the space below.
2. Which side in ΔFED does CB in ΔABC correspond to?
Answers
Step-by-step explanation:
ΔABC is similar to ΔFED.
AB are the first 2 letters in ΔABC. Similarly, FE are the first 2 letters in ΔFED.
Hence side AB corresponds to side FE.
CB are the last 2 letters in ΔABC. Similarly, DE are the last 2 letters in ΔFED.
Hence side CB corresponds to side DE.
Answer:
1. EF in ΔFED corresponds to AB in ΔABC.
2. DE in ΔFED corresponds to CB in ΔABC.
3. The length of DF is 10.
Step-by-step explanation:
Given: ΔABC is similar to ΔFED. Find the length of DF.
To Find: The length of side DF in ΔFED
Since, ΔFED is a right-angled triangle and also similar to ΔABC,
Applying similarity of triangles principle,
AB = 4 , EF = 8
BC = 3 , DE = 6
Now, applying Pythagorean theorem on ΔFED,
Hypotenuse² = Length² + Base²
⇒ DF² = DE² + EF²
⇒ DF² = 6² + 8²
⇒ DF² = 100
⇒ DF = √100
⇒ DF = 10
Final Answer: Hence the length of side DF is 10.
Which statement explains how the lines x − y = 2 and y = x + 1 are related?
1. They are parallel.
2. They are perpendicular.
3. They are the same line.
4. They are not related.
Answers
Answer:
4, they are not related
Step-by-step explanation:
x - y = 2 and y = x + 1
x - y = 2
subtract x
-y = 2 - x
divide by the negative
y = -2 + x or y = x - 2
they are not related
Answer:
The Answer Is A) they are parallel
Step-by-step explanation: i took the test and it was right i hope i helped!
the equation of line L is y=5x+1
Answers
Consider the complete question is "The equation of the line [tex]L_1[/tex] is y=5x+1 and the equation of line [tex]L_2[/tex] is 2y-10x+3=0. How can you show that these two lines are parallel?"
Given:
Equation of [tex]L_1[/tex] is [tex]y=5x+1[/tex].
Equation of [tex]L_2[/tex] is [tex]2y-10x+3=0[/tex].
To show:
The these line as parallel.
Solution:
We have,
[tex]y=5x+1[/tex] ...(i)
[tex]2y-10x+3=0[/tex] ...(ii)
Equation (ii) can be written as
[tex]2y=10x-3[/tex]
[tex]y=\dfrac{10x-3}{2}[/tex]
[tex]y=\dfrac{10x}{2}-\dfrac{3}{2}[/tex]
[tex]y=5x-\dfrac{3}{2}[/tex] ...(iii)
Slope intercept form of a line is
[tex]y=mx+b[/tex] ...(iv)
where, m is slope and b is y-intercept.
On comparing (i) with (iv), we get slope of line [tex]L_1[/tex].
[tex]m_1=5[/tex]
On comparing (iii) with (iv), we get slope of line [tex]L_2[/tex].
[tex]m_2=5[/tex]
Since, [tex]m_1=m_2[/tex], therefore, lines [tex]L_1[/tex] and [tex]L_2[/tex] and parallel because slope of two parallel lines are always equal.
Hence proved.
1.
The diagram below shows a composite shape formed by joining two rectangles.
4 cm
I
xcm
12 cm
(x + 2)cm
Diagram not drawn to scale
The area of the larger rectangle is 4 times the area of the smaller rectangle.
Calculate the dimensions of the smaller rectangle.
You must justify any decisions that you make.
Answers
9514 1404 393
Answer:
24 cm^2
Step-by-step explanation:
The larger rectangle has dimensions in cm of 12 by (4+x). The smaller rectangle has dimensions of (x+2) by x. The area of the larger is 4 times the smaller, so ...
12(4+x) = 4(x)(x+2)
3(4+x) = x(x+2) . . . . . . divide by 4
x^2 +2x -3x -12 = 0 . . . eliminate parentheses, subtract 3(4+x)
(x -4)(x +3) = 0 . . . . . . . factor
The positive solution is x = 4, so the area of the smaller rectangle is ...
x(x+2) = 4(4+2) = 24 . . . cm^2
A librarian has 43 books to distribute to a group of children. If he gives each child 2 books, he will have 7 books left over. How many children are in the group?
Answers
Answer:
wish i could help have a gret day
Step-by-step explanation:
Answer:
43-7=36
Number of children in the group=36/2
=18children are there in the group
Step-by-step explanation:
Factor the expression completely. 10x^5 -7×^3?
Answers
Answer:
there is your answer hope that helps
Josh is 6 years older than 4 times Kim's age. the sum of their ages is less than 31.
what is the oldest Kim could be?
Answers
Answer:
4
Step-by-step explanation:
31 - 6 = 25
25/4 = 5
because its LESS than that, it has to be lower than 5, therefore its 4.
Kim should be 12 years old.
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given that, Josh is 6 years older than 4 times Kim's age and the sum of their ages is less than 31.
From the information, let's consider Josh's age be J and that age Kim's be K
As given,
J = 6 + K ..............(i)
And,
J+K < 31
Substituting in eq(i)
6+K+K < 31
2K < 25
K < 25/2
K < 12.5
Since, Kim's age should be less than 12.5
Hence, Kim's age is 12 years.
For more references on inequality, click;
https://brainly.com/question/28823603
#SPJ2
PLEASE HELP ASAP!!
When retested on the WAIS, people's second scores generally match their first scores
quite closely. This indicates that the test has a high degree of:
A. Heritability
B. Content validity
C. Predictive validity
D. Reliability
Answers
Answer:
D. Reliability
Step-by-step explanation:
Answer:
the answer is b because the same score means more validity
A rectangular book measures 8 X 10. What is the length of its
diagonal?
Answers
Answer:
Length of the diagonals is[tex] \sqrt{ {8}^{2} +{10}^{2} } = \sqrt{64 + 100} = \sqrt{164} =2\sqrt{41}\\ =\boxed{12.8\: units} [/tex]
12.8 units is the right answer.The diagonal length of the rectangular book is 12.8 units.
What is rectangular?A rectangle is "four sided polygon, having all the internal angles is equal to 90 degree. The two sides of each corner is right angles".
According to the question,
The length of rectangle is 8 units and the breadth of rectangle is 10 cm.
To find diagonal of the rectangle: Using Pythagoras theorem a² + b² = c².
c = [tex]\sqrt{a^2 + b^2}[/tex]
= [tex]\sqrt{8^2 + 10^2}[/tex]
= [tex]\sqrt{64 + 100}[/tex]
= [tex]\sqrt{164}[/tex]
= 2[tex]\sqrt{41}[/tex]
= 12.8 units
Hence, the diagonal length of the rectangular book is 12.8 units.
Learn more about rectangle here
https://brainly.com/question/17043608
#SPJ2
Please help I need this soon
Answers
Answer: C = -6.3
Step-by-step explanation:
how do i work this out please?
Answers
Answer:
[tex]5 \sqrt{5} - 2 \sqrt{5} = 3 \sqrt{5} \\ 8 \sqrt{7} + 3 \sqrt{7} = 11 \sqrt{7} [/tex]
hope this helps.
Answer:
[tex]11 \sqrt{7} [/tex]
Step-by-step explanation:
[tex]8 \sqrt{7} + 3 \sqrt{7} [/tex]
[tex] \sqrt{7} (8 + 3) [/tex]
[tex]11 \sqrt{7} [/tex]
