evaluate: 5/6 + 4/9 =___?​

Answers

Answer 1

Answer:

23/18 or 1 5/18

Step-by-step explanation:

In mathematics, adding and subtracting fraction required that all fractions are in similar, in converting dissimilar fraction into set of similar fraction requires finding its Least Common Denominator (LCD) or Least Common Multiple (LCM).

Equation Given

5/6 + 4/9

Finding LCM

- List down their multiples

The multiples of 6  = 6 12 18 24

The multiples of 9  = 9 18 27 36

Thus, their Least Common Multiple (LCM) is 18

Converting Dissimilar Fraction into Similar Fraction

The LCM is already the denominator

Divide the LCM by its original denominator then multiply by numerator to get the new numerator

5/6

(18 ÷ 6) × 5 = 15/18, new fraction

4/9

(18 ÷ 9) × 4 = 8/18, new fraction

Evaluate

15/18 + 8/18

= 23/18, or

= 1 5/18

Answer:

23/18 or 1 5/18

Step-by-step explanation:

In mathematics, adding and subtracting fraction required that all fractions are in similar, in converting dissimilar fraction into set of similar fraction requires finding its Least Common Denominator (LCD) or Least Common Multiple (LCM).

Equation Given

5/6 + 4/9

Finding LCM

List down their multiples

The multiple of 6

6 12 18 24

The multiple of 9

9 18 27 36

Thus, their Least Common Multiple (LCM) is 18

- Converting Dissimilar Fraction into Similar Fraction

The LCM is already the denominator

Divide the LCM by its original denominator then multiply by numerator to get the new numerator

5/6

(18 ÷ 6) × 5 = 15/18, new fraction

4/9

(18 ÷ 9) × 4 = 8/18, new fraction

- Evaluate

15/18 + 8/18

= 23/18, or

= 1 5/18


Related Questions

Suppose f(x) = 3x*2 - 2x

Answers

Answer:

x=0

Step-by-step explanation:

0=6x-2x

0=4x

4x=0

and the answer is x=0


During the All Stars Skills competition, a puck was launched through the air at a
speed of 41 km/h from a height of 2.5 cm. The algebraic model of the path of the
puck is defined by h = -4.9+ + 41t +0.025, where h represents height in cm and t
represents time in seconds.

1.Construct a table of values for the first 10 seconds of the puck's movement.
Round to 0 decimal places.

2.Using graph paper, graph the data points. Join with a smooth curve. Scan your
graph.

3.Approximately how long before the puck will hit the ice?

4.For what values of time is the height invalid?

Answers

Answer:

put it in desmos and turn it into table

Find the slope of the line that passes through (-68, 47) and (-66, 33).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Quick please

Answers

Answer:

- 7

Step-by-step explanation:

The slope formula:

[tex]m=(y_2-y_1)/(x_2-x_1)[/tex]

Substitute the values to get:

[tex]m=(33-47)/(-66+68)=-14/2=-7[/tex]
>> Slope

_________

[tex] \: [/tex]

(X1, X2) = (-68, 47)

(Y2, Y1) = (-66, 33)

Soo :

m = [tex]\frac{Y2 - Y1}{X2 - X1}[/tex]

m = [tex]\frac{33 - 47}{68 - 66}[/tex]

m = [tex]\frac{-14}{2}[/tex]

m = [tex]\boxed{\bold{-7}}[/tex]

Done.

Someone plz help me :(

Answers

Answer:

the answer is c :)

Step-by-step explanation:

Write the equation of a line, in slope intercept form,
that has a slope of 5 and an intercept of (0,-3).

Answers

Answer:

y = 5x -3

Step-by-step explanation:

Slope intercept form is y = mx + b

m = slope

b = the y intercept

The problem gives you a slope of 5, and it gives you the y interecept of -3.

Plug those into slope intercept form:

y = 5x -3

What is the measure of NRS?

Answers

Answer: c I believe

Step-by-step explanation:

Find the y-intercept of the following equation. Simplify your answer.
y
=
–2
x
+
4
5

Answers

x = frac{−1}{2}y + frac{45}{2}

Answer:

y- intercept = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + [tex]\frac{4}{5}[/tex] ← is in slope- intercept form

with y- intercept c = [tex]\frac{4}{5}[/tex]

what is the percent of games won if a team won 92 games and lost 58 games?

Answers

Answer:

I think this is it 61.33

Have a blessed day <333

Step-by-step explanation:

PLEASE HELP!! 20 POINTS EACH

Joe's dog ate 8 cans of dog food this week. Each can contained 58.7 grams of protein. How much protein was this in all?

Please and thank you!!

Answers

Answer:

443.2 grams

Step-by-step explanation:

Each can contains 55.4 grams of protein, and there are 8 cans, so the answer would be 55.4*8 = 443.2 grams.

3x – 15 = 39
=
What does x equal

Answers

3x - 15 = 39
+ 15 +15

3x = 54 (divide by 3 on each side)

X = 18

Answer:

X=18

Step-by-step explanation:

To isolate X you need to get rid of the -15 to do that you can add 15 on both sides of the equation resulting in 3x=54 now you need to divide both sides by 3 to get x on its own which is X=18.

It is first down in a football game. Your team has the ball at your 25-yard marker, and the play is a successful run for 6 yards.

Where does the ball end up? Where is the ball relative to where it started? Use the number line to find the answer.
Enter the correct answers in the boxes.

Answers

Answer:

the ball would be at the 31 yard line, because you are moving 6 yards closer to midfield which would be 50, and the end zone if he ran all the way there would be 69 more yards

what is the slope of the line?

Answers

Answer:

Slope = -3

Step-by-step explanation:

From (-1,0) to (0,-3), the line has a change of -3/1 (change in y/change in x) or -3

1. Find two points on the line:
(-1, 0) and (0, -3)

2. Calculate the slope

slope = change in y / change in x

0 - -3 = 3
-1 - 0 = -1
3 / -1 = -3

The slope is -3

How would you teach something you have learned this year in Math to someone younger than you? Write more than 5 sentences

Answers

Answer:

ok here ya go

Step-by-step explanation:

A way that I would teach someone something that I learned in math this year to someone else is simple. I would start by writing everything out so that they have a visual of what I am teaching them. I would also use a visual of a real world situation so that it relates to something they would understand. Teaching someone younger than you means they probably will not understand as easy as you understood it so, I would be very slow and make sure if they are confused to help them. I would also make sure not to be too bossy, understanding that they may not understand and that is ok.

Select the correct answer.

Answers

Answer: a

Step-by-step explanation:

In a triangular prisim how many vertices does it have

Answers

Answer:

6

Step-by-step explanation:

HELP HELP WILL MARK BRAINLIEST

Answers

Answer:

b. 10a³ - 11a - 3

Step-by-step explanation:

1. Expand 3(a³ - 2a - 5)

= 3a³ - 6a - 15

2. Add 7a³ - 5a + 12 and 3a³ - 6a - 15

7a³ + 3a³ = 10a³

-5a + -6a = -11a

12 + -15 = -3

3. Answer: b. 10a³ - 11a - 3


Simplify the following fraction:
90/20

Answers

Answer:

9/2 simplified

and 4 1/2 as a mixed number

Answer:

Fraction: 9/2

Mixed: 4 1/2

Step-by-step explanation:

We do this by first finding the greatest common factor of 90 and 20, which is 10.

Then, we divide both 90 and 20 by the greatest common factor to get the following simplified fraction:

9/2

Therefore, this equation is true:

90/20 = 9/2

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.

9/2 = 4 1/2

George is looking at stock market charts. He can buy a collection of stocks for 6 shares for $618. How much would it be for 11 shares?

Answers

....................

3. Which phrase best describes the function of the ATP molecule?

1. Carries energy

2. Destroy energy

3. absorbs energy

4. none of the above

Answers

Answer:

1.) Carries energy

Step-by-step explanation:

A good summary of an ATP molecule is a molecule that transfers energy between cells... meaning it carries energy from cell to cell. Furthermore, energy cannot be destroyed, and cannot be absorbed, only changed and transformed. This leaves us with two options, (1. Carries energy, and 4. None of the above). Since we already have a basic understanding of what an ATP molecule does, we can confidently determine that the correct answer is that an ATP molecule can best be described as carrying energy.

For how many shoe strings will Toby and Marie have the same amount of money in the account? Must show your work by making a table or solving algebraically by setting the equations equal to each other.

Answers

Answer:

we need more information to solve your problem.

Step-by-step explanation:

1.
What is misleading about the graph?
"MASSIVE INCREASE IN
HOUSE PRICES THIS YEAR!”

Answers

There is no graph to support the statement and so, this invisible graph is misleading :)

A bag has  4 red balls ,3 green balls and 5 blue balls. What is the probability of getting a red ball  randomly​

Answers

1/3 of a chance or 33%
Reason: add 4,3, and 5 together, you get 12. 4/12 is equivalent to 1/3 and 1/3 as a decimal is .33

1-100%. You'll never know until you try it yourself.

Ajar contains 16 beads. 4 beads are red, 4 are yellow, 5 are green, and 3 are blue.
Which is the probability of picking a blue bead?

Answers

Answer:

3/16

Total no.of beads = 16

No.of blue beads = 3

Probability of picking a blue bead = 3/16

Step-by-step explanation:

Hope this helps

can i get braineist pls

- Equation Editor A set of curtains normally
sells for $58.99. Roberta used a coupon
good for 20% off the regular price. To the
nearest cent, how much did Roberta pay for
the curtains before sales tax?

Answers

Answer:

89.99

Step-by-step explanation:

u add i48934yr84 r84

Roberta paid the amount of $47.19 for the curtains before the sales tax.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that equation editor A set of curtains normally sells for $58.99. Roberta used a coupon good for 20% off the regular price.

To determine the amount for the curtains before the sales tax

According to the given conditions, the solution would be as:

⇒ 58.99 × (1 - 20%)

⇒ 58.99 × (1 - 0.20)

Calculate the sum or difference and we get

⇒ 58.99 × 0.80

Apply the multiplication operation to get

⇒ 47.192

Round the number nearest to the hundredth,

⇒ 47.19

Therefore, Roberta paid the amount of $47.19 for the curtains before the sales tax.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ5

A little help? A set of numbers is given below. √72, 9.25, √83, 2, 8.7 Which list correctly orders the numbers from least to greatest?​

Answers

Answer:

2, √72, 8.7, √83, 9.25

Step-by-step explanation:

First, you need to find the integers of each number that is not already a integer.

Square root of 72: 8.48528137424

9.25

Square root of 83: 9.11043357914

2

8.7

Now, list the numbers by their whole number (in the ones place). If they have the same whole number, look at their tenths place and see which one is greater.

Overall, the answer would be 2, √72, 8.7, √83, 9.25.

2. Find the perimeter of a rectangle of
Length 13m with an area of 65m

Answers

Answer:

Perimeter = 36m

Step-by-step explanation:

Area = l x w

65m = 13m x w

5m = w

Perimeter = 2(l + w)

Perimeter = 2(13m + 5m)

Perimeter = 36m

Answer:

36m

Step-by-step explanation:

The equation for the area of a rectangle is A = w*l, where w = width and l = length

Since we already have the area and the width, we can plug those values into the equation to find the width (w)

A = w*l

65 = w*13

we can divide both sides by 13 to isolate the w variable, and we get that

w = 5

The equation for the perimeter of a rectangle is

P = 2(l +w)

P = 2(13 +5)

P =36

The perimeter is 36m

The prices (in dollars) for a particular model of digital camera with 6.0
megapixels and an optical 3X zoom lens are shown here for 10 randomly selected online
retailers. Find 95% confidence interval of the true mean price for this particular
model.
225 240 215 206 211 210 193 250
225 202

Answers

Using the data given, the 95% confidence interval of the true mean is (205.20 ; 230.20)

Given the data :

225 240 215 206 211 210 193 250 225 202

The confidence interval is defined as :

Since, sample size ls less than 30 we use a t-distribution table :

[tex] C.I = \bar{x} ± t_{α/2, n-1} \frac{s}{\sqrt{n}}[/tex]

Zcritical = [tex]t_{0.05/2, 9} = 2.26 [/tex] n = sample size = 10

Using a calculator :

Mean, [tex]\bar{x} = 217.7 [/tex] Standard deviation, σ = 17.49

Lower boundary = [tex] 217.7 - 2.26(\frac{17.49}{\sqrt{10}}) = 205.20[/tex]

Lower boundary = [tex] 217.7 + 2.26(\frac{17.49}{\sqrt{10}}) = 230.20[/tex]

Therefore, the confidence interval is (205.20 ; 230.20)

Learn more :https://brainly.com/question/25173276

The confidence interval is simply a range that contains the true mean of the population

The 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]

The given parameter is:

[tex]\mathbf{n = 10}[/tex]

Start by calculating the degree of freedom

[tex]\mathbf{df = n - 1}[/tex]

[tex]\mathbf{df = 10 - 1}[/tex]

[tex]\mathbf{df = 9}[/tex]

Next, calculate the mean

[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]

[tex]\mathbf{\bar x = \frac{225 + 240 + 215 + 206 + 211 + 210 + 193 +250 + 225 + 202}{10}}[/tex]

[tex]\mathbf{\bar x = \frac{2177}{10}}[/tex]

[tex]\mathbf{\bar x = 217.7}[/tex]

Calculate the standard deviation

[tex]\mathbf{\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n-1}}}[/tex]

[tex]\mathbf{\sigma = \sqrt{\frac{(225 -217.7)^2+ (240 -217.7)^2+..........+ (202 -217.7)^2}{10-1}}}[/tex]

[tex]\mathbf{\sigma = \sqrt{\frac{2752.1}{9}}}[/tex]

[tex]\mathbf{\sigma = 17.49}[/tex]

Calculate the standard error

[tex]\mathbf{SE = \frac{\sigma}{\sqrt n}}[/tex]

[tex]\mathbf{SE = \frac{17.49}{\sqrt {10}}}[/tex]

[tex]\mathbf{SE = 5.53}[/tex]

At 95%, df = 9. the t-value is:

[tex]\mathbf{t= 2.262}[/tex]

So, the confidence interval is:

[tex]\mathbf{CI = \bar x \pm t \times SE}[/tex]

So, we have:

[tex]\mathbf{CI = 217.7 \pm 2.262 \times 5.53}[/tex]

Split

[tex]\mathbf{CI = (217.7 - 2.262 \times 5.53, 217.7+ 2.262 \times 5.53)}[/tex]

[tex]\mathbf{CI = (205,19, 230.20)}[/tex]

Hence, the 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]

Read more about confidence intervals at:

https://brainly.com/question/2396419

Please fill in these boxes :)

Answers

Answer:

reciprocal of 4= 1/4

reciprocal of 1/3=3

reciprocal of -1/7 = -7

reciprocal of -4/5=-5/4

Step-by-step explanation:

it's explained

MATH
PLEASE HELP!!!!! ASAP
thank you so much!

Answers

Answer:

a. 53.68

b. 53.53

Step-by-step explanation:

a. Step 1: Approximate the value for [tex]\sqrt{62}[/tex]:

Since [tex]\sqrt{62}[/tex] is close to [tex]\sqrt{64}[/tex] (which is 8), this value can be approximated as a number that is less than but very close to 8. I chose 7.9.

The expression becomes 6(7.9)+2π

Step 2: Approximate the value for 2π

Since π is approximately 3.14, 2π is approximately 6.28.

The expression becomes 6(7.9)+6.28

Step 3: Use order of operations

6(7.9)+6.28=47.4+6.28=53.68

b. Step 4: If allowed, use a calculator to check how close your approximation is to the actual value

[tex]6\sqrt{62} +2\pi =53.5272[/tex]

The approximation 53.68 is decently close to the actual value, so no minor math errors were made.

Answer:

54     and 53.53  see below

Step-by-step explanation:

Estimate the square root first.  7x7 = 49  and 8x8=64 so you can use 8 for your estimate.  You can also estimate Pi as 3.

Now you have:

(6 x 8) + 2(3)   which is 48 + 6 = 54

Using your calculator you get

47.244 + 6.283 = 53.53  rounded to the nearest hundredth

HELP ME PLEASE WITH THIS QUESTION! :D

Answers

Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

(a)

3 × a × 2 × b

= 3 × 2 × a × b

= 6ab

(b)

[tex]c^{5}[/tex] × c

= [tex]c^{(5+1)}[/tex]

= [tex]c^{6}[/tex]

(c)

2[tex]y^{4}[/tex] × 5y³

= 2 × 5 × [tex]y^{4}[/tex] × y³

= 10 × [tex]y^{(4+3)}[/tex]

=10[tex]y^{7}[/tex]

(d)

3gh² × 4g³h³

= 3 × 4 × g × g³ × h² × h³

= 12 × [tex]g^{(1+3)}[/tex] × [tex]h^{(2+3)}[/tex]

= 12[tex]g^{4}[/tex][tex]h^{5}[/tex]

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