Here are some fractions.
10/15
4/6
12/18
10/16
16/24
One of these fractions is NOT equivalent to
2/3

a) Which fraction?

b) Work out 1/8 + 3/4

Give your answer in its simplest form.

Answers

Answer 1
a. 10/15
b. 7/8
those r the answers
Answer 2

Answer:

10/16 is not equivalent to ⅔.

⅛+¾=⅞

Step-by-step explanation:

To simplify to simplest form find the GCF for both and divide on each side.

[tex] \frac{10}{15} = \frac{2}{3} [/tex]

the GCF is 5, so you divide the numerator and denominator by 5 to get 2/3.

[tex] \frac{4}{6} = \frac{2}{3} [/tex]

When you divide the numerator and denominator by 2 (GCF) it would be ⅔.

[tex] \frac{12}{18} = \frac{2}{3} [/tex]

when you divide both the numerator and denominator by 6 (GCF) you get ⅔.

[tex] \frac{10}{16} = \frac{5}{8} [/tex]

when you divide the numerator and denominator by 2 (gcf) you get ⅝.

therefore, 10/16 is not equivalent.

[tex] \frac{1}{8} + \frac{3}{4} = [/tex]

Find the LCM

Least Common Multiple is 16.

8: 8, 16

4: 4, 8, 12, 16

[tex] \frac{2}{16} + \frac{12}{16} [/tex]

for ⅛ you multiply the numerator and denominator by 2 to get 2/16. do the same with 3/4 but with 4 to get 12/16

[tex] \frac{2}{16} + \frac{12}{16} = \frac{14}{16} [/tex]

you can simplify by dividinv both sides by 2 to get 7/8.


Related Questions

Alondra says that (12 + 31) × 5 is equivalent to 12 + 31 × 5 because of the associative property.
Describe the associative property in words.

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Answer:

Step-by-step explanation:

The associative property states that you can add or multiply regardless of how the numbers are grouped.

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Step-by-step explanation:

Which of the following is equivalent to the expression shown?

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Answer:

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Step-by-step explanation

3x--x=4x

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1/2 x 4x=2x

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Rewrite the equation using the distributive property



2(9x+4)

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Answer:

18x+8

Step-by-step explanation:

distribute

2 x 9x = 18x

2 x 4 = 8

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What is 5 divided by 29

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Answer:

0.5555555555555555555555

Step-by-step explanation:

At a football game, 35% were supporting the visiting team. If 2119 people attending
supported the home team, what was the total number of people attending the game?

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Answer:

3260

Step-by-step explanation:

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Help me with this problem

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Answer:

3

Step-by-step explanation:

8 < 3   no

8 = 3   no

8 > 3   yes

so the answer is 3

A square rug has an area of 121 ft?. Write the side length as a square root. Then decide if the side
length is a rational number.
HELP ASAP

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Square root of 121 which is 11

the curve of a normal distribution extends indefinitely at the tails but does not ​

Answers

Answer:

But does not touch the horizontal axis.

Step-by-step explanation:

The curve of a normal distribution extends indefinitely at the tails but does not " ​touch the horizontal axis."

The reason for this is that the tails of the curve suggest that a variable can take on any theoretically reasonable value, although the probability of such occurrence is considerably low.

Generally, a normal distribution curve is considered to be asymptotic to the horizontal axis.

In this exercise we have to have knowledge about distribution and complete the sentence, thus we find:

The curve of a normal distribution extends indefinitely at the tails but does not ​ but does not touch the horizontal axis.

What is a normal distribution ?

The great utility of this distribution is associated with the fact that it quite satisfactorily approximates the frequency curves of physical measurements, this curve is known as the normal or gaussine distribution.

Returning to the exercise we have to:

That when we deal with a normal distribution we will have that the tail will not touch the horizontal axis since that way it would mean that it reached zero.

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Tesla Battery Recharge Time.The electric­ vehicle manufacturing company Tesla esti­mates that a driver who commutes 50 miles per day in a Model S will require a nightly charge time of around 1 hour and 45 minutes (105 minutes) to recharge the vehicle’s battery (Tesla company website). Assume that the actual recharging time required is uniformly distributed between 90 and 120 minutes.
a. Give a mathematical expression for the probability density function of battery rechar­ging time for this scenario.
b. What is the probability that the recharge time will be less than 110 minutes?
c. What is the probability that the recharge time required is at least 100 minutes?
d. What is the probability that the recharge time required is between 95 and 110 minutes?

Answers

Answer:

a.) f(x) = [tex]\frac{1}{30}[/tex] where 90 < x < 120

b.) [tex]\frac{2}{3}[/tex]

c.)  [tex]\frac{2}{3}[/tex]

d.)  [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = [tex]\frac{1}{120 - 90} = \frac{1}{30}[/tex] where 90 < x < 120

b.)

P(x < 110) = [tex]\int\limits^{110}_{90} {\frac{1}{30} } \, dx[/tex]

               = [tex]\frac{1}{30}[x]\limits^{110}_{90} = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}[/tex]

c.)

P(x > 100 ) = [tex]\int\limits^{120}_{100} {\frac{1}{30} } \, dx[/tex]

                 = [tex]\frac{1}{30}[x]\limits^{120}_{100} = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}[/tex]

d.)

P(95 < x< 110)  = [tex]\int\limits^{110}_{95} {\frac{1}{30} } \, dx[/tex]

                       = [tex]\frac{1}{30}[x]\limits^{110}_{95} = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}[/tex]

How to subtract fractions

Answers

Answer:

Make sure the bottom numbers (the denominators) are the same.

Subtract the top numbers (the numerators). Put the answer over the same denominator.

Simplify the fraction (if needed).

Step-by-step explanation:

"There are 3 simple steps to subtract fractions

Make sure the bottom numbers (the denominators) are the same.

Subtract the top numbers (the numerators). Put the answer over the same denominator.

Simplify the fraction (if needed)."

In (Triangle)QRS,
Please explain

Answers

Answer: Triangle QRS is an isosceles triangle because QR = RS.

. Step-by-step explanation: Find the length of each side of the triangle using the formula for calculating the distance between two points.

Step-by-step explanation:

~!!!!! PLEASE HELP IM IN 7TH GRADE LEARNING 9TH AND 8TH GRADE MATH !!!!!~
QuESTION *SORRY ITS SMALL HGVCFGHJJHV*

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y = mx+b that’ll help you answer it


What is the measure of Angles are not necessarily drawn to scale.

I hate math

Answers

x= 139°

180-41= 139°

hope this helped:)

what does 4/6 + 2/5 equal

Answers

Answer:

= 16 /15  (Decimal: 1.066667)

Step-by-step explanation:

4 /6 + 2 /5

= 4 /6 + 2 /5

= 2 /3 + 2 /5

= 10 /15 + 6 /15

= 10+6 /15

= 16 /15  (Decimal: 1.066667)

Answer:

16/15 or 1 1/15 as a mixed number

Step-by-step explanation:

Answer please????????????????????????

Answers

Answer:

(-3,-1) -> (3,1)

Step-by-step explanation:

Reflection over the y-axis:

When we reflect a point (x,y) over the y-axis, it's y-coordinate is kept, while the x-coordinate changes signal. So

(3,-1) -> (-3,-1)

Clockwise rotation of 180º

Both coordinates of the point change signals. So

(-3,-1) -> (3,1)

Jacob's piggy bank has
18 quarters, 20 dimes, 24 nickels,
and 43 pennies. He chooses a coin,
does not replace it, then chooses
another. What is the probability
that he chose a dime then
a nickel?

Answers

Answer:

Step-by-step explanation:

On a math test five out of 20 students scored 70 or below a score of 70 on this test would be the?
A. Lower quartile
B. Upper quartile
C. Median
D. 70th percentile

Answers

Lower quartile. The correct option is A

What is Lower quartile ?

The lower quartile, often known as the first quartile or Q1, is a measure of central tendency that separates the bottom 25% of a data set from the rest of the data.

In this instance, five out of the 20 students received scores of 70 or lower, which equals a 25% proficiency rate.

Therefore, 70 or below is the lower quartile.

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In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9. The mean score on the SAT mathematics test was 480 and the standard deviation was 130. The distributions of both scores are approximately bell-shaped. Round the answers to at least two decimal places.

Required:
Find the z-score for an ACT score of 26.

Answers

Answer:

The z-score for an ACT score of 26 is 0.17.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In a particular year, the mean score on the ACT test was 25 and the standard deviation was 5.9.

This means that [tex]\mu = 25, \sigma = 5.9[/tex]

Find the z-score for an ACT score of 26.

This is Z when X = 26. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{26 - 25}{5.9}[/tex]

[tex]Z = 0.17[/tex]

The z-score for an ACT score of 26 is 0.17.

Which of the following could represent the question: How many 4/9s are in 6/5 as a multiplication equation?

x*4/9=6/5
x*6/5=4/9
6/5*4/9=x
4/9*6/5=x

Answers

Answer:

Select the third answer listed which states: 6/5 * 9/4

Step-by-step explanation:

To find how many of a quantity x are in another quantity y, we normally divide in the following fashion:

y divided by x = y ÷ x = y / x

Then we do the same here: 6/5 divided by 4/9  =  6/5 ÷ 4/9 = 6/5 * 9/4

(using the properties of division of fractions as equal to the product of the first one times the reciprocal of the second one)

Answer:

3rd one

Step-by-step explanation:

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Answer: 1/4 s^2 or [tex]\frac{1}{4} s^{2}[/tex]

In a student council election, Kyle receives 54 votes for president. If Kyle receives 60% of the votes, how many students vote in the election?

Answers

Answer:

90

Step-by-step explanation:

60%-> 54

100%-> 90

There are 90 students vote in the election.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100

Given that

In a student council election, Kyle receives 54 votes for president.

Now,

Let total student votes in election = x

Hence we can formulate

60% of x = 54  

60/100 × x = 54

60x = 5400

x = 90

Therefore,  There are 90 student votes in the election.

Learn more about the percent visit:

https://brainly.com/question/24877689

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Find the sum of 1005 and 296

Answers

Answer: the sum is 1301

Answer:

1301

Step-by-step explanation:

1005 + 296 = 1301

w=
she suznsnsja. s
anna abs
s
sm


Answers

Answer:

-32

Step-by-step explanation:

Combine the like terms to create an equivalent expression:
-3.x - 6+(-1)

Answers

I think it’s -19 I’m not sure tho

Each circle counts as one whole. Write a mixed number giving the amount shaded. Then, write this amount as an improper fraction.​

Answers

itis 8 cause we added

PLZ HURRY IT'S URGENT!!!
What are the roots of the quadratic?
-3 and 0
-3 and 1
-1 and 3
-1 and -3

Answers

Answer:

Roots are also called x-intercepts or zeros. A quadratic function is graphically represented by a parabola with vertex located at the origin, below the x-axis, or above the x-axis. Therefore, a quadratic function may have one, two, or zero roots. are given by the quadratic formula.

Step-by-step explanation:

7/16 = x/32 what is the value of x?

Answers

the value of x is 14
The answer would be 14 because the denominator is doubled 16x2=32 then you would double the numerator and 7x2=14

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Answer:

Imao

Step-by-step explanation:

Chick- fil- a


Is bussin

why wealthy colonists used the Africans as workers? help asp ​

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Answer:

they provided cheap labour

Step-by-step explanation:

this is because Africans were sold as slaves to the rich colonialists.

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