Round each fraction to the nearest whole, 1/2, or 0:
1. 1/2
12/5
2. 11/2
7/9
3. 1
4/9
4. 4
3 5/7
Answers
Answer:
1 2/5 = 1 1/2
7/9 = 1
4/9 = 1/2
3 5/7 = 4
Step-by-step explanation:
1. we must round 1 2/5
based on the answer choices we can determine that 1 1/2 is the most rational answer. This is because it is not only the only answer with the whole number, 1 but also 2/5 would round to 1/2.
2. We must round 7/9
This would round up to 1. This is because it is closest to the whole number, not 0 and not 1/2.
7 * 2 = 14
9 * 2 = 18
14/18 is only 4/18 away from being 1. This means that it would round up to 1.
3. we must round 4/9
This rounds to 1/2. If you multiply both side by 2:
4 * 2 = 8
9 * 2 = 18
8/18 for that to be 1/2 it would need 1/18. Thus this rounds up to 1/2.
4. We must round 3 5/7
5/7 would round up to a whole number.
3 + 1 = 4
Thus 3 5/7 = 4 when rounded to the nearest whole number.
Related Questions
phoebe, andy and polly share €270
phoebe gets three times as much as and who gets twice as much as polly
work out how much they each get
Answers
Answer:
Polly=30
Andy=60
Phoebe=180
Step-by-step explanation:
Polly=x
Andy=2x
Phoeby 3(2x)=6x
x+2x+6x=270
9x=270
x=30
Polly=x=30
Andy = 2x=60
Phoebe=6x=180
Plz help btw the second one has the same options .
Answers
THE DIFFERENCE OF TWO NUMBERS IS 17. IF THE GREATER NUMBER IS 32, FIND THE SMALLER ONE. (STEP BY STEP)
Answers
difference means subtracting. if thr greater number is 32 then what minus 32 equals 17? 32-15=17
Answer:
15
Step-by-step explanation:
think the number is x
according to the question
32-x=17
-x=17-32
-x=-15
x=15 (divide both side by -1)
what is 3x+4/5 = 7-2x
Answers
Answer:
..jkbiuhlihuhiuuhi
Step-by-step explanation:
kguykguyufkyugyyguygyggkuy
Find the length of side x in simplest radical form with a rational denominator
Answers
Answer:
The length of x=3/1
Step-by-step explanation:
Given the right triangle
Ф = 30
We know that
sin Ф = opposite/hypotenuse
The opposite of angle 30° = x
The hypotenuse is = 6
so
sin 30 = opposite/hypotenuse
1/2 = x/6 ∵ sin 30 = 1/2
1/2 × 6 = x
6/2 = x
3/1 = x
Therefore, the length of x=3/1
What is the rate of change of y with respect to x for 25x - 4y = 50 ?
Answers
Answer:
25/4Step-by-step explanation:
The change of y with respect to x is known as the slope of the line. The standard form of the equation is y = mx+c where m is the slope.
Given the equation 25x - 4y = 50, we need to make y the subject of the formula before we get the slope as shown;
25x - 4y = 50
-4y = -25x+50
Divide through b y -4
-4y/-4 = -25x/-4 + 50/-4
y = 25/4 x - 25/2
Comparing with y = mx+c
mx = 25/4 x
m = 25/4
Hence the rate of change of y with respect to x is 25/4
The rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].
Given the equation:
[tex]25x - 4y = 50[/tex]
The rate of change = the slope of the line
To determine the slope of 25x - 4y = 50, rewrite the equation in slope-intercept form. i.e. [tex]y = mx + b[/tex]Where, slope = mThus,[tex]25x - 4y = 50[/tex]
Add 25x to both sides of the equation[tex]25x -25x - 4y = - 25x + 50\\\\-4y = - 25x + 50[/tex]
Divide both sides by -4[tex]\frac{-4y}{-4} = \frac{-25x}{-4}+ \frac{50}{-4}\\\\y = \frac{25}{4}x - \frac{25}{2}[/tex]
Therefore, the rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].
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Please solve this, 50 points and BRAINLIEST
-4•6/7•-5/3
Answers
Answer:
5 5/7
Step-by-step explanation:
-4•6/7•-5/3
Put the numbers as fractions
-4/1•6/7•-5/3
Rewriting
-4/1 * 6/3 * -5/7
Simplifying the middle fraction
-4/1 * 2/1 * -5/7
Multiply the first two terms
-8/1 * -5/7
Multiplying
40/7
Changing from an improper fraction to a mixed number
7 goes into 40 5 times with 5 left over
5 5/7
Answer:
40/7
Step-by-step explanation:
−3x+8<15 please help
Answers
Answer:x<-7/3
Step-by-step explanation:
Answer: X > -7/3
Step-by-step explanation:
-3x + 8 < 15
subtract 8 from both sides
-3x < 7
divide by negative 3
Also, when dividing or multiplying by a negative you flip the sign.
x > -7/3
Answer :)
Can someone help me ASAP plz?
Answers
Answer:
D
Step-by-step explanation:
1 cm is 18 miles. if you have 14 cm you multiply 14 cm by 18 miles. you get 252 miles for 14 cm.
Maria's plant grew 3 1/4 inches every month for 2 1/2 months. How many inches did Maria's plant grow during that time?
Answers
Answer: 8.125 inches
Step-by-step explanation: Ok so if the plant grew 3.25 inches every month, and there were 2.5 months, you need to multiply 3.25 by 2.5 to get the total amount of growth. So that would be 8.125
Giovanni justifies whether the expression -4x-8 is equivalent to -2(x+1)-2(x+3) by letting x=3 in both expressions. What is the value of each expression when x=3.
3 and -20
4 and 4
-20 and -20
3 and 4
Answers
Answer:
The value of each expression when x=3 will be -20 and -20.
Step-by-step explanation:
Given the expression
-4x-8
setting x=3
= -4(3)-8
=-12-8
=-20
Given the expression
-2(x+1)-2(x+3)
setting x=3
=-2(3+1)-2(3+3)
=-2(4)-2(6)
=-8-12
=-20
so we conclude that the value of both the expressions was -20 when we substituted the value x=3.
Therefore, the value of each expression when x=3 will be -20 and -20.
write linear equation in slope intercept
Answers
b = 1
equation y=4/1x + 1
Kevin wants to buy 2.5 pounds of chicken at $6.49 per pound. How
much will he pay?
Answers
Answer:
16.225
just times 2.5 times 6.49
How much will Ashley’s plan cost for the same number of texts as when Jumel’s costs $75? Show your work and write your answer in a sentence.
Please help me out
Answers
Answer: In order to begin figuring that out, we need to know how both of their plans work.
The local cable company charges $90 per month for basic cable and $12 per month
for each additional premium cable channel. The function cx x ( ) = + 90 12 represents
the monthly charge (in dollars), where x represents the number of additional premium
channels. How many additional premium channels would you have ordered if your bill
was $114 per month?
Answers
Answer:
Two additional premium channels were ordered
Step-by-step explanation:
Linear Modeling
It consists of describing a real situation with a mathematical function that corresponds to a straight line.
An example is the described situation where the cable company charges $90 per month for basic cable and $12 for each additional premium cable channel.
The linear model for the charges of the company is:
c(x) = 90 + 12x
Where x is the number of additional premium channels.
Knowing that one month the charge was $114, we can find x:
114 = 90 + 12x
Subtracting 90:
114 - 90 = 12x =24
Dividing by 12:
x = 24/12
x = 2
Two additional premium channels were ordered
Pls help me this is so hard can someone help me.
Answers
Answer: 4x+8=12
Step-by-step explanation: there is the 1st one im going to try and o the second one oh im a 7th grader
solve : 3 under root a/b
Answers
Find the value of x. The diagram is not to scale.
a. x = 40
b. x = 23
c.x= 13
d. none of these
Answers
Answer:
d. none of these
Step-by-step explanation:
- Mt. Everest is considered the tallest mountain in the world at 8,848 meters above sea level. In fact, the forgest
mountain in the world is Mauna Loa, in Hawai'i, Mauna Loa rises 4, 170 meters from sea level to the top of the
summit, but its base is deep under water. The base of the mountain is at -5,000 meters,
A probe is dropped 7, 500 meters straight down into Mauna Los from its summit.
At what height is the probe, relative to sea level?
meters
How far is the probe from the base of the volcano?
meters
Answers
Answer: 10000
A.) 4170m above sea level ;3330m below sea level
B) 1670 m from the base.
Step-by-step explanation:.
Given that:
Mauna Loa :
4,170 meters (from sea level to summit)
-5000 meters (base of mountain to sea level)
Depth of probe dropped from summit of Mauna Loa = 7500 m
Height of probe relative to sea level :
Depth of probe - height of Mauna Loa(from sea level to summit)
7500 m - 4170 m = 3330 m
Hence, height of probe relative to sea level :
4170m above sea level
3330m below sea level
Distance of probe from base of volcano:
Total depth of Mauna Loa = (4170 + 5000) = 9170m
Total depth of probe = 7500 m
Distance of probe from base :
9170 - 7500 = 1670 m
The probe is 1670 m from the base of the volcano.
A rhombus is graphed
on the set of axes below.
Answers
Answer:
Step-by-step explanation:
reflection over y-axis
Option A is correct, 180 degree rotation counter clockwise about the origin is transformation which would carry the rhombus onto itself.
We need to consider the properties of a rhombus and how each transformation affects its shape and orientation.
A rhombus is a quadrilateral with all four sides of equal length. It also has opposite angles that are congruent. Based on this information, we can analyze each transformation option:
180-degree rotation counterclockwise about the origin is a transformation would preserve the shape and size of the rhombus since a 180-degree rotation does not change the lengths of the sides or the angles.
Therefore, it is a possible transformation that carries the rhombus onto itself.
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Which proportional relationship has the greatest rate of change?
Answers
Answer:
The answer is A.
Step-by-step explanation:
A- slope is 7
B- slope is 3
C- slope is 4
D- slope is 6
The first option, [tex]y=7x[/tex] has greatest rate of change.
Any relationship which have greatest slope, that relationship will also have greatest rate of change.
First option is, [tex]y=7x[/tex] , compare with y = mx
Slope = 7
Slope of option B is, [tex]=\frac{12}{4} =3[/tex]
Slope of option C is, [tex]=\frac{8}{2}=\frac{16}{4} =4[/tex]
Slope of option C is, [tex]=\frac{2}{1}=\frac{4}{2}=2[/tex]
From slope of all options , it is observed that function y = 7x has greatest slope.
Hence, first option y = 7x has greatest rate of change.
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4.62 x 108 tins of beans were sold last year.
These tins of beans cost a total of £300.3 million.
Work out the average cost per tin of beans.
Answers
Step-by-step explanation:
If that says 4.62x10⁸, then you would do
300,300,000/4.62x10⁸
where you would get 0.65
so the average cost per tin of beans is 65p
The average cost of each tin of beans = 0.602 million per tin.
Calculation of average costThe total tin of beans sold last year = 4.62 x 108+
= 498.96
The total cost of the beans sold last year = £300.3 million
If 498.96 tins = £300.3 million
1 tin of beans = £X
Make £X the subject of formula,
£X = £300.3 million/498.96
£x = 0.602 million
Therefore, the average cost of each tin of beans = 0.602 million per tin.
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In the equation a= 3/b is a positive, real number. As the
value of b is increased so it becomes closer and closer to
infinity, what happens to the value of a ?
Answers
Answer:
The value of a tends to zeroStep-by-step explanation:
Given the expression a = 3/b
as the denominator of the of the expression b increases the value of the output is known to be decreasing. if the value of b now goes so large to become an infinite, value then the value of a will goes to zero as shown;
If b = ∞
a = 3/∞
a = 0
Note that for any constant value a, the ratio a/∞ will always tends to zero
I need help on this thx
Answers
Explanation: Basically, the three angles of the triangle add up to 180 degrees. The bottom left angle is ninety degrees. (You can figure that out by looking at the symbol that looks like a square in the bottom left angle of the triangle.) If you see that in other problems it means that that angle equals 90 degrees. To find the bottom right angle, you take 165 and subtract it from 180 because the diagonal line intersects the line that is going horizontally. That would give you 15. You can check this by adding 15 and 165 and you know that you’re right if you get 180. That gives you two angles. As I said in the beginning, the three angles of the triangle should add up to 180. Now you have 90 degrees and 15 degrees. You add those two and you get 105. Now all you have to do is subtract 105 from 180. You should get 75. You can check if you get the right answer by adding 90, 15, and 75 together. If you get 180 then you are correct. If you don’t get 180 then you did something wrong and should do the problem again. Sorry for the long paragraph, I wanted to get all the details in in case you had any questions. :) Hope this helps.
Please please please help! I can Venmo you too if needed
Answers
Answer:
The answer to number 9 is d
Step-by-step explanation:
The Amplitude is pi and the period also is the right number if you use teh mathematical formula. 2pi ÷ pi^2 is 2÷pi, so it basically has to be d, since a and b don't have the correct Amplitude and c doesn't have the correct period.
Number 10.
Toni opened her piggy bank. She found
that she had saved 712 quarters, 633
dimes, 482 nickels and 17,800 pennies.
What is the ratio of quarters to
pennies?
Answers
Answer:
712:17800
Step-by-step explanation:
Type only a number for your answer
Answers
Answer:
x = 80
Step-by-step explanation:
x + 30 = 110 (opposite sides are congruent/equal)
x = 110 - 30 (subtract the 30 from both sides to get X by itself)
x = 80 (simplify)
isolate the variable on the following problem. show your work.
11=c/5
Answers
C = 55
55=c is the answer
Given x:y:z = 7:2:5 and the value of
x - z =18. Find the value of x+y+z.
Diberi x:y:z = 7:2:5 dan nilai x - 2 =18.
Cari nilai bagi x+y+z
A 14
B. 126
C. 210
D. 232
Answers
Answer:
x + y + z = 123
Step-by-step explanation:
x:y:z = 7:2:5
Let x = 7a, y = 2a, z = 5a
Since x - z = 18
Therefore,
7a - 5a = 18
2a + 18
a = 18/2
a = 9
7a = 7*9 = 63
2a = 2*9= 15
5a = 5*9 = 45
x + y + z = 63 + 15 + 45
x + y + z = 123
which expression is equal to 5/2? Write a situation that could represent the fraction above.
Answers
Answer:
3/2 + 2/2. A teacher has to give 2 pencils to one student. 1 student gives him 3 pencils, another student give him 2 pencils. How much pencils does the teacher have?
Step-by-step explanation:
All you do is you find a problem that would give you 5/2 then create a word problem.