Answer:
The inequality which correctly compares Three-fourths, One-seventh, and Five-sixths is : One-seventh < Three-fourths < Five-sixths.
The first option is correct.
Step-by-step explanation:
To determine which inequality correctly compares Three-fourths, One-seventh, and Five-sixths, we will arrange them in ascending order.
To do this, first, we will determine the LCM of the fractions denominators..
Three-fourths, One-seventh, and Five-sixths
[tex]\frac{3}{4}, \frac{1}{7}, and \frac{5}{6}[/tex]
The denominators are 4, 7 and 6.
LCM of 4,7 and 6 is 84
Then, we will write the fractions in a form whereby they all have the same denominators.
[tex]\frac{3}{4}, \frac{1}{7}, and \frac{5}{6}[/tex] can be written as
[tex]\frac{63}{84}, \frac{12}{84}, and \frac{70}{84}[/tex]
The resulting order of the numerators gives the order of the fractions.
Now, we will arrange [tex]\frac{63}{84}, \frac{12}{84}, and \frac{70}{84}[/tex] in ascending order. This becomes
[tex]\frac{12}{84}, \frac{63}{84},and \frac{70}{84}[/tex].
∴ The ascending order of the fractions is [tex]\frac{1}{7}, \frac{3}{4},and \frac{5}{6}[/tex].
That is, One-seventh, Three-fourths, and Five-sixths.
Hence, we can write that
One-seventh < Three-fourths < Five-sixths.
This is the inequality which correctly compares Three-fourths, One-seventh, and Five-sixths
Answer:
d
Step-by-step explanation:
what's a Number line ?
a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
Answer:
It is a line with points to represent numbers. It is used to model equations and can be used to determine greater or less than. It's a useful tool to use in math.
Step-by-step explanation:
In 2/3 divided by 4/5 the____ is 2/3 .
Answer:
Numerator
Step-by-step explanation:
2/3 / 4/5. 2/3 is the numerator of the compound fraction.
if the length o a football is 100 yards and the width is 53.3 yars,what is the area
Answer:
5330 yards2
Step-by-step explanation:
Answer:
In track meets both 100 yards and 100 meters are used as distances. By how many meters is100 meters longer than 100 yards? 0.0856 m b. 0.856 m c. 1 m d. 8.56 m
Please mark brainiest :)
Answer : 4 873.752 m2
Angela uses 2/3 cup of strawberries to make 5/6 of a liter of smoothie. What is the unit rate in cups of strawberries per liter of smoothie?
Answer: 5/6÷2/3
5/6×3/2
=5/4
5/4 cups of strawberries makes 1 litre of smoothie
Please help will give brainliest to answer
Answer:
your intire hw is not worth 5 pts but I will say that to find the slope is how many times the line goes up or down and to the right and left until it reaches the next dot
Which equation best represents the line?
Oy = 3x + 3
Oy=-x-8
O y = -x + 3
2
x+
Oy = 3x +
2
Answer:
Y=(1/2)x + 3
Step-by-step explanation:
The equation of the line is y = (1/2)x + 3.
We have,
The equation of a line is written as:
y = mx + c
Where m is the slope and c is the y-intercept.
Now,
From the line,
We have the following coordinates:
(2, 4) and (4, 5)
Now,
Slope.
m = (5 - 4) / (4 - 2) = 1/2
And,
(2, 4) = (x, y)
Substituting.
y = mx + c
4 = (1/2) x 2 + c
4 = 1 + c
c = 4 - 1
c = 3
Now,
y = (1/2)x + 3
Thus,
The equation of the line is y = (1/2)x + 3.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ7
Which statement is true about a shape and its dilation? A.The corresponding angles of a shape and its dilation are congruent. B.The corresponding angles of a shape and its dilation are not congruent. C.The side lengths of a dilation are always smaller than the corresponding side lengths of the original shape. D.The corresponding side lengths of a shape and its dilation are congruent.
Answer:
A.The corresponding angles of a shape and its dilation are congruent.
Step-by-step explanation:
Dilation is a type of rigid transformation in which the dimension of a shape is either increased or decreased to produce its image. It involves a change in the dimensions of the shape by a required factor. In the process, the side lengths of the image are different to the original lengths. But the angles are not affected.
Thus, the respective angles of the given shape and its image are the same.
The appropriate answer to the given question is A.
Plsss help I’ll give u brainlest and 10 points
What's the nicest thing someone has said or done for you? Feel free to comment or leave an answer :)
Answer: I actually got a good one
My best friend told me that I was the best person ever and that she hoped nothing would ever separate us. She always is there when I need her, and she supported me when I came out! She is the greatest Friend I could ever ask for!
"I was walking home one day last winter, it was super cold out and some lady I've never seen before stopped to pick me up. She was really nice and drove way out of her way to drop me off at my house. She gave me a winter hat and a piece of chicken (she was on her way home from KFC) I said 'thank you' and she told me to pay it forward." I never got her name though :(
What is the slope-intercept equation of the line that is perpendicular to y-4=-2/3(x-6) and that passes through (-2, -2)?
Answer:
The slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
Step-by-step explanation:
Given the equation
[tex]y-4=-\frac{2}{3}\left(x-6\right)[/tex]
comparing it with the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope
so the slope of the line is -2/3.As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be: 3/2
The point-slope form of the equation of the perpendicular line that goes through (-2, -2) is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-\left(-2\right)=\frac{3}{2}\left(x-\left(-2\right)\right)[/tex]
[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]
writing the line equation in the slope-intercept form
[tex]y+2=\frac{3}{2}\left(x+2\right)[/tex]
subtract 2 from both sides
[tex]y+2-2=\frac{3}{2}\left(x+2\right)-2[/tex]
[tex]y=\frac{3}{2}x+1[/tex]
Thus, the slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
Here,
As the slope-intercept form is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so
[tex]y=\frac{3}{2}x+1[/tex]
m=3/2
b = y-intercept = 1
Therefore, the slope-intercept equation is:
[tex]y=\frac{3}{2}x+1[/tex]
can someone plz help me
Answer:
I think B
Step-by-step explanation:
I think
Answer:
The equation has no solution.
Step-by-step explanation:
[tex]2(3x - 8) = 8x - 2x - 8 \\ \\ 2 \times 3x - 2 \times 8 = 6x - 8 \\ \\ 6x - 16 = 6x - 8 \\ \\ 6x - 6x = 16 - 8 \\ \\ 0 = 8 \: (which \: is \: absurd) \\ \\ the \: equation \: has \: no \: solution \\ [/tex]
HELP PLEASE!!! I NEED HELP ASAP!!!
Answer:
d
Step-by-step explanation:
Carlos and Jonathan shared $40 in the ratio 5:3. How much money did Jonathan get? (Draw a tape diagram).
PLEASE HELP MEEEEEEEEEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
carlos got 25 and Jonathan got 15.
Step-by-step explanation:
5+3=8 40/8=5
5×5=25. 5×3=15
help!!! ill give brainliest!!
Answer:
4.123
Step-by-step explanation:
Just have to think what times itself = 17 and I thought well Istill close to 4 and then I just did the work
also PLZ MARK ME BRAINLIEST
2. Given f(x) = 2x + 3(x – 3), find x, if f(x) = 11.
please hurry
Answer:
Correct answer:
3
Step-by-step explanation:Using the defined function, f(a) will produce the same result when substituted for x:
f(a) = a2 – 5
Setting this equal to 4, you can solve for a:
a2 – 5 = 4
a2 = 9
a = –3 or 3
PLZ HAAAALP
One winter day, the temperature was -15°F. Later that day, the temperature rose 12°F to reach the high temperature for the day. If t represents the high temperature, what is t?
Answer:
-3°F
Step-by-step explanation:
-15 + 12 = -3
Answer:
-3
Step-by-step explanation:
Helppppppppppppppppppp me Write this rate as a unit rate. 7/5 miles 2/3 hour
URGENT NEED OF HELP PLEASE ILL GIVE BRAINLEST
Answer:
umm.. I think the answer choices are wrong because the slope is -2.
y = mx + b
y = (slope)x + (y-intercept)
y = -2x + 4
and i have proof!
Step-by-step explanation:
The science club is going to the space museum. The club consists of 27 students.
Answer:
did u forget to complete the question or.....
Find the slope and the y-intercept of the line.
- 9x+3y=-6
Answer:
slope is 3 and y intercept of -2
Step-by-step explanation:
Please, I need help.
In an electric circuit, the current varies inversely as the resistance. The current is 40 amps when the resistance is 12 ohms. Find the current when the resistance is 20 ohms.
Answer:
24 amps
Step-by-step explanation:
Current = k /resistance
k = current × resistance
= 40 × 12
= 480
If the resistance is 20 ohms then the current can be calculated as follows
Current = 480/20
= 24 amps
Hurry please (ignore this part hdhdjsfjenejfixhebrfisj)
Answer:
(-3/8) (-5/7) (-1/4) is the answer
Step-by-step explanation:
please mark me as brainliest please
Does the graph represent a function? Why or why not?
A. No, because it fails the horizontal line test.
B. Yes, because it passes the horizontal line test.
C. Yes, because it passes the vertical line test.
D. No, because it fails the vertical line test.
Answer:
D . No because it fails the vertical line test .
Step-by-step explanation:
Ayana has $20.95 in quarters and dimes. If she has 103 coins in all, find the number of quarters and dimes. PLEASE HELP AND SHOW WORK!
Chandra bowled five games. Her scores were 89, 97, 112, 104, and 113. What is her mean score for the five games?
Answer:
103
Step-by-step explanation:
89+97+112+104+113=515
515÷5=103
103 is the final answer, hoped this helped.
,,,,,,,,,hi help pls
Tennis balls with a diameter of 2.5 inches are sold in cans of three. The can is a cylinder. What is the volume of the space NOT occupied by the tennis balls? (Assume the tennis balls touch the can on all sides, top and bottom.) Round to the nearest tenth and show all steps and reasoning.
Answer:
The space NOT occupied by the tennis balls is 12.26 cube inches.
Step-by-step explanation:
The space NOT occupied = volume of cylinder - total volume of spheres
The can is cylinder with volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
where r is the radius and h the height of the cylinder
With the given condition,
r = [tex]\frac{diameter}{2}[/tex] = [tex]\frac{2.5}{2}[/tex]
= 1.25 inches
h = 3 x diameter = 3 x 2.5
= 7.5 inches
So that,
Volume of the can = [tex]\frac{22}{7}[/tex] x [tex](1.25)^{2}[/tex] x 7.5
= 36.830
Volume of can is 36.83 cube inches.
The tennis ball is a sphere with volume = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
= [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](1.25)^{3}[/tex]
= 8.185
Volume of the tennis ball is 8.19 cube inches.
Since they are sold in three's, then;
total volume of the tennis balls = 3 x 8.19
= 24.57
Volume of the tennis balls is 24.57 cube inches.
Thus,
The space NOT occupied = 36.83 - 24.57
= 12.26
The space NOT occupied by the tennis balls is 12.26 cube inches.
What is the reciprocal of 5 1/8
Answer:
0.19512195122
Step-by-step explanation:
Help me with this Fraction problem please, IT's Simple
Answer:
x=2
Step-by-step explanation:
26 divided by 13 is 2
