Write the number marked with an arrow on the number line below as an improper (top-heavy) fraction.
Answers
===============================================
Explanation:
Start at 6 and count the small tickmarks to see that it takes 5 spaces to go from 6 to 7 on the number line.
So each small tickmark represents 1/5 of a unit.
The arrow is 3 ticks away from the 6, so we add on 3/5 to 6 getting the mixed number 6 + 3/5 = 6 & 3/5
The 6 is the whole part, while 3/5 is the fractional part.
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Let's convert to an improper fraction
6 & 3/5 = 6 + 3/5
6 & 3/5 = 6*(5/5) + 3/5
6 & 3/5 = 30/5 + 3/5
6 & 3/5 = (30+3)/5
6 & 3/5 = 33/5
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You could also use the formula
a & b/c = (a*c + b)/c
to get
6 & 3/5 = (6*5 + 3)/5
6 & 3/5 = 33/5
Related Questions
what is the answer to this problem 2.4z+1.2z-6.5=0.7
Answers
Answer:
The answer is
2.4z+1.2z=0.7+6.5.
3.6z=7.2.
z=7.2/36.
z=2
2.4z+1.2z=3.6z
3.6z-6.5=0.7
+6.5 to both sides
3.6z=7.2
Divide by 3.6
z=2
3/4, 1/3, 5/8
In order from largest to smallest
Answers
Answer:
[See Below]
Step-by-step explanation:
3/4 = 0.75
1/3 = 0.333..
5/8 = 0.625
Largest to Smallest: 3/4, 5/8, 1/3
Jack has a Rock. The Rock has a mass of 6g and a volume of 3ml. what is the density of The Rock?
Answers
Step-by-step explanation:
Density = Mass ÷ Volume
= 6 ÷ 3
= 2g/cm³
Answer : 2g/cm³
y =6x-15
Please help
Answers
Answer:
y=15+-6x
Step-by-step explanation:
y = -6x + 15
Reorder the terms:
y = 15 + -6x
Solving
y = 15 + -6x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Simplifying
y = 15 + -6x
Step-by-step explanation:
[tex]6x - 15 = y \\ 6x = y + 15 \\ \frac{6x}{6} = \frac{y + 15}{6} \\ x = \frac{y + 15}{6} \\ x = \frac{y}{6} + \frac{5}{2} [/tex]
10x+8=3(x-2) 10x+8=3x-6
Answers
Answer:
x = -2
Step-by-step explanation:
10x+8=3x-6
subtract 10x-3x
7x+8= -6
subtract -6-8
7x=-14
divide 7 into -14
x = -2
Hope this helps!
For 9-10, use the graph below.
9. What is the length of AB? Explain your reasoning.
10. What is the midpoint of CD? Justify your answer.
Answers
Answer:
Step-by-step explanation:
A = (5,-5)
B = (-1,-5)
AB = (5 - - 1) + (-5 - - 5)
AB = 6
=================
Mid Point CD
C = - 3,4
D = 6,3
Midpoint = (-3 + 6)/2 , (4+3)/2
Midpoint = 3/2, 7/2
Midpoint = 1.5, 3.5
2. Perform the following operations to find the terms to complete the blanks.
- 1
Part A: (a - 1)(1 + a + a²) =
- 49
Part B: [(x - y) + 7][(x - y) - 7] =
(y2 – 3x)
Part C: -5(3y+ - 4y2 + 7x)(y2 – 3x) =
+ 105x2
= -15y +
Part D: (3m - 2n)3 = (9m2 - 12mn +4n?).
= 27m3 -
+
- 8n3
Answers
Answer:
27m3- is the answer equals to 8n 3
i need help on trying to finish solving this problem
Answers
Hope this helps
Answer:
x=-15
Step-by-step explanation:
4x-3x=9-24
1x=-15
x=-15
A truck parked on the street is 56 m from the base of the apartment building on the right. The angle of elevation from the truck to the top of the building is 40°. The parked truck is 49 m from the base of the apartment building on the left. The angle of elevation from the truck to the top of that building is 50°. Which building is taller?
Answers
Answer:
The building to the left is taller.
Step-by-step explanation:
Building on right:
tan 40° = a/56
a = 56 tan 40° = 46.99
Building on left:
tan 50° = b/49
b = 49 tan 50° = 58.40
The building to the left is taller.
Multiply. Express your answer in simplest form.
1
5
х
8
6
Answers
Answer:
1290
Step-by-step explanation:
15 x 86 = 1290
3 (m- 2) when m = 1.5
Answers
Answer:
-1.5
Step-by-step explanation:
1,5-2=-.5
-.5*2=-1.5
To which subset of the real number system does the number LaTeX: 1.\overline{5}1. 5 ¯ belong?
Answers
Answer:
The subset of rational numbers
Step-by-step explanation:
Rational numbers are numbers that can be expressed in the form a/b where ad b are integers. The number [tex]1.\overline5[/tex] is a number with a recurring decimal of 5 and every recurring decimal can be expressed in the form a/b where a and b are both integers therefore, every number with recurring decimal is a rational number.
In the question, [tex]1.\overline5[/tex] can be written as follows;
[tex]1.\overline5 = \dfrac{14}{9}[/tex] or [tex]1.\overline5 = 1\dfrac{5}{9}[/tex].
Which BEST describes a ray?
A) Arrow at both ends.
B) Endpoint at both ends.
C) No endpoint or arrow on the ends.
D) Endpoint at one end and an arrow at the other end.
Answers
Answer:
D: an endpoint at one end and an arrow on the other or answer hope this helped,
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
A line segment has an endpoint at both ends. A has arrows at both ends.A ray has a endpoint at one end and an arrow at the other.
4z-5<3;2 Im confused
Answers
Answer:
z < 2
Step-by-step explanation:
4z - 5 < 3
4z < 8
z < 2
ten more than twice a number
Answers
Answer:
4 is twice a number of 2 so the answer would be 14
Step-by-step explanation:
Can someone help me please
Answers
Answer:
d=126 degrees
z=28 units
Mark would like to build a rectangle frame. The dimensions of the frame are unknown, but the perimeter of the frame must be 80 yards. The length of the frame is six less than the width. What is the length of the frame?
Answers
Answer:
The length of the frame is 17
Step-by-step explanation:
The computation of the length of the frame is shown below:
As we know that
The perimeter of a rectangle is
= 2 (length + width)
where,
let us assume the width be x
So, the length is x - 6
And, the perimeter is 80 yards
So, now put these values to the above formula
80 yards = 2 (x - 6+ x)
80 yards = 2 (2x - 6)
80 yards = 4x - 12
92 = 4x
x = 23
So, the length of the frame is
= 23 - 6
= 17
Jacob bought 7 t-shirts for $32.90. Gwen bought 12 t-shirts for $60. Their friend Lia found a store online where she can buy a package of 8 t-shirts. These shirts sell at the same rate as the shirts Jacob bought. How much does Lia pay for the package of 8 t-shirts?
Answers
Answer:
$37.60
Step-by-step explanation:
If 7 shirts = 32.90 then (32.90/7) x 8 = 37.60
Braden signed up for streaming music service that cost $11 per month the service allows Braden to listen to Unlimited music but if you want to download songs for off-line listening to the service changes one dollar per song how much total money would brave and have to pay this month in which he downloaded 35 songs how much would he have to pay if he download S songs
Answers
Answer:
Cost for 35 songs: 1(35)+11=46
Cost for s songs: 1s+11
Step-by-step explanation:
A factory produces 42,000 computer monitors per day. The manager of the factory claims that fewer than 660 defective computer monitors are produced each day. In a random sample of 240 computer monitors, there are 2 defective computer monitors. Determine whether the manager's claim is likely to be true. Explain.
Answers
Answer:
The manager's claim is likely to be true.Step-by-step explanation:
We are given that the factory produces 42,000 computer monitors per day
And the claim is of this amount produces fewer than 660 are defective.
a random sample shows that of 240 monitors 2 are defective
to verify the factory managers claim we need to know how many 240s are there in 42000
=42000/240= 175
Since each 240 will give 2 defective monitors
175 will give= 175*2= 350
350 is less than 660 hence the managers claim is correct
Please help. If CJ=8x+5 CT=55, and JT=4x+2 Find JT
Answers
Answer:
- 56
Step-by-step explanation:
JT = CJ + CT
4x + 2 = 8x + 5 + 55
4x + 2 = 8x + 60
4x - 8x = 60 - 2
- 4x = 58
x = 58/-4
x = -29/2
x = - 14.5
JT = 4x + 2 = 4(-14.5) + 2 = - 58 + 2 = - 56
Help...!!!!!!!!
Please....!!!!
Answers
Answer:
5x^2 + -3
Step-by-step explanation:
For this problem, we will simply simplify the expression by combining like terms.
(-3x^3 - 7x^5 - 3) + (5x^2 + 3x^3 + 7x^5)
= 7x^5 + -7x^5 + 3x^3 + -3x^3 + 5x^2 + -3
= 0 + 0 + 5x^2 + -3
= 5x^2 + -3
Thus, the simplified expression is 5x^2 + -3.
Cheers.
Which of the following sets of ordered pairs represent a function? Select two that apply.
A.
(5,9), (2, 5), (8, 4), (6, 1), (4,3), (7, 8), (3, 7), (1, 2)
B.
(10,4), (14,3), (12, 8), (4, 1), (14, 8), (8, 7), (6,5), (8,4)
C
(6,9), (16, 15), (10, 15), (8, 13), (12, 2), (2, 6), (14,9), (4,3)
D
(6, 15), (2, 12), (1, 2), (4, 10), (5,9), (3,5), (3, 18), (5, 4)
Answers
Ill give 40 points to brainliest (in each word problem write the independent and dependent variable) A.You work part time at a grocery store and are saving money for a car. You already have $200 saved and you earn $12 per hour.B.You are driving on a road trip with your friends. You have 12 gallons of gas in your car and you use 0.10 gallons each mile you drive.C.You got a 60 on your test. You test grade will improve 2 points with each extra credit assignment you turn in.
Answers
Part A
independent variable = number of hoursdependent variable = total amount savedThe equation would be y = 12x+200 where x is the number of hours and y is the amount saved. The 200 is what you already have, and then you add on 12x additional dollars.
==============================================
Part B
independent variable = number of miles you drivedependent variable = amount of gas in the carequation would be y = -0.10x+12. You start off with 12 gallons and each time you use up 0.10 gallons of gas for each mile you drive, so in total you use up 0.10x gallons
==============================================
Part C
independent variable = number of extra credit assignments turned independent variable = test gradeEquation is y = 2x+60. You add on 2x additional points to the 60 you already have
==============================================
Part D
independent variable = number of text messages sentdependent variable = total monthly billx is the number of messages and y is the total monthly bill, so the equation would be y = 0.25x + 35
==============================================
Part E
independent variable = number of cookies eaten per daydependent variable = total caloric intake per dayeating x cookies, at 120 calories a piece, means y = 120x is the total number of calories you consume per day. This is just considering the cookies of course and not other meals.
==============================================
In each case, the independent variable is the variable that is allowed to change and you know this value (or are given it). For instance, you know how many miles you drive and it varies. The dependent variable relies on the value chosen for the independent variable. So as x changes, then so does y.
Answers & Step-by-step explanation:
Let's define the two terms that we need to identify:
Independent variable: A variable that you have control over.
Dependent variable: A variable you cannot control and depends on other factors.
Let's solve your problems!
___________________________________________________________
A.Amount saved: dependent variable
Amount earned: independent variable
Explanation:
The amount you can save depends on how much you earn.
___________________________________________________________
B.Amount of gas: dependent variable
Amount you drive: independent variable
Explanation:
The amount of gas you have affects how much you can drive.
___________________________________________________________
C.Test grade: dependent variable
Extra credit you gain: independent variable
Explanation:
Your test grade is dependent on the amount of extra credit you earn.
___________________________________________________________
D.Monthly bill: dependent variable
Number of texts sent: independent variable
Explanation:
The monthly bill is dependent on the number of texts sent.
___________________________________________________________
E.Amount of calories per day: dependent variable
Amount of cookies eaten: independent variable
Explanation:
The number of calories eaten each day is dependent on how many cookies you eat.
___________________________________________________________
I AM ALWAYS HAPPY TO HELP :)how does 1/12 - 5/6 = 9/12 um tring to learn how to add this like ?
Answers
Answer:
see below
Step-by-step explanation:
1/12 - 5/6 = -9/12
We need to get a common denominator of 12
1/12 - 5/6*2/2 = -9 /12
1/12 - 10/12 = -9/12
Since the denominators are the same, we can subtract the numerators
1-10 = -9
-9/12 = - 9/12
We can simplify -9/12 by dividing the top and bottom by 3
-9/3 = -3
12 /3 = 4
-9/12 = -3/4
Answer:
see below
Step-by-step explanation:
1/12 - 5/6 = -9/12
1st, we need to identify the Least Common Multiplier of 12 and 6
in this case, the LCM is 12
for 5/6 = (5*2) / (6*2) = 10/12
2nd, adjust the fractions based on the LCM
= 1 / 12 - 10 / 12
= 1 - 10 / 12
= -9 / 12 ---- simplify -3 / 4
The sum of a number and 4.7 is 8.1.
Answers
Greetings from Brasil...
Be that unknown number X
Then we can write the following expression:
X + 4.7 = 8.1
X = 3.4how do you solve a square root equation?
Answers
Answer:
To solve square root equations, isolate the radical on one side of the equation. Then, raise both sides of the equation to the same power.
Source:
www.basic-mathematics.com/how-to-solve-radical-equations.html
Hope this helps!
(01.05)
What is the equation of a horizontal line passing through the point (-3, 8)?
A: x=-3
B: y=8
C: x=5
D: y=-11
Answers
Answer:
B
Step-by-step explanation:
The equation of a horizontal line is
y = c
where c is the value of the y- coordinates the line passes through.
The line passes through (- 3, 8 ) with y- coordinate of 8, thus
y = 8 ← equation of horizontal line
A farmer plants corn and soybeans. This model shows the area reserved for each.
A model with 4 rows of 5 squares that represent corn and 4 rows of 3 squares that represent soybeans. Corn is 20 acres and soybeans is 12 acres.
Which expression is equivalent to the sum of the two areas?
4(5)(3)
5(4 + 3)
4(5 + 3)
(4 + 5)(4 + 3)
Answers
Answer:
4(5+3)
Step-by-step explanation:
I just did this question and I got it correct trust me ;)
Answer:
4(5 + 3) (C or 3)
Step-by-step explanation:
Edge 2020
This question is confusing. Please help me!
Answers
Answer:
x = 18
Step-by-step explanation:
Given:
a = 2x +3b = 4x - 7Finding x for which 3b = 5a:
3b = 5a3(4x - 7) = 5(2x + 3)12x - 21 = 10x + 1512x - 10x = 15 + 212x = 36x = 36/2x = 18Answer:
x = 18
Step-by-step explanation:
Plug in 4x-7 for b and 2x+3 for a in 3b = 5a
3(4x-7) = 5(2x +3)
Solve for x:
12x-21 = 10x+15
2x = 36
x=18