Add or subtract by first changing the mixed numbers to improper fractions.

A: 3 1/3 + 5 3/4

Answers

Answer 1

Answer:

10/3 and 23/4

Step-by-step explanation:

Answer 2

Answer:

9 1/12

Step-by-step explanation:

3 1/3 + 5 3/4

Get a common denominator of 12

3   1/3*4/4 +  5  3/4 *3/3

3 4/12 + 5 9/12

8 13/12

8 + 12/12 + 1/12

8+1+1/12

9+1/12

9 1/12

Changing to improper fraction

3 1/3 = ( 3*3+1)/3 =10/3

5 3/4 = ( 4*5+3)/5 =23/4

Getting a common denominator

10/3 * 4/4 = 40/12

23/4 *3/3 =69/12

                   -------------

                   109/12

12 goes into 109  9 times

9*12 = 108  and that leaves 1 left over

9 1/12


Related Questions

What is the approximate area of the shaded sector in the circle shown below?
A. 31.7 cm^2
B. 5.76cm^2
C. 2.88cm^2
D. 126.7cm^2

Answers

Answer:it’s 31.7 cm^2

Step-by-step explanation:

The approximate area of the shaded sector is 31.7 cm² (Option A).

To find the area of the shaded sector, we need to calculate the fraction of the entire circle that the sector represents and then multiply it by the area of the whole circle.

The formula to find the area of a sector is given by:

Area of sector = (θ/360) * π * r²

where θ is the central angle and r is the radius of the circle.

In this case, the radius (r) of the circle is given as 11 cm, and the central angle (θ) is given as 30 degrees.

Let's calculate the area of the shaded sector:

θ = 30 degrees

r = 11 cm

Area of sector = (30/360) * π * 11²

             = (1/12) * π * 121

             = π * 10.0833...

Now, we can approximate the value of π as 3.14:

Area of sector ≈ 3.14 * 10.0833...

             ≈ 31.7 cm²

Therefore, the approximate area of the shaded sector is 31.7 cm².

The correct option from the given choices is A. 31.7 cm².

To know more about sector, refer here:

https://brainly.com/question/12051312

#SPJ2

Find cos x if sin x =0.82.

Answers

Answer:

cosx= 35. Use Trignometrical identity cosx = √1−sin2x . cos x = √1−1625 = √925 = 35 to be the ...

Missing: =0.82 ‎| Must include: =0.82

Step-by-step explanation:

Which best describes the transformation that occurs from
the graph of f(x) = x² to g(x)=(x-2)²+3

Answers

Answer:

The graph changes from the original position to right 3 units and down 1 unit.

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

WILL MARK BRAINLIEST!!
The volume of a cylinder is 1,386 m3 and its radius is 7 m. What is its height to the nearest whole number?

Answers

Answer:

h = 9

Step-by-step explanation:

[tex]volume = \pi \: {r}^{2} h \\ 1,386 = \frac{22}{7} \times 7 \times 7 \times h \\ 1,386 = 154 \times h \\ h = \frac{1,386}{154} \\ h = 9[/tex]

there are 18 blueberries in a bowl .there are 3 times as many blueberries as strawberries in the bowl.how many strawberries are in the bowl?

Answers

Answer:

6

Step-by-step explanation:

Number of blueberries = 18

Number of strawberries = 3 times less than blueberries

Number of strawberries

18/3 = 6

Answer: 6 strawberries

Find an equation, in slope-intercept form, that passes through the point (−4,3) with a slope of −3.

Answers

Answer:

y = -3x - 9

Step-by-step explanation:

Equation of line in point slope form is given as:

[tex]y - y_1 = m(x-x_1) \\

y - 3= - 3\{x - (-4)\}\\

y - 3 = - 3(x + 4)\\

y =- 3x - 12 +3\\

y = - 3x - 9\\ is \: the \: required \: equation \\ [/tex]

Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
A.
y = 100x + 3.5
B.
y = 100x – 3.5
C.
y = 50x + 3.5
D.
y = -50x + 3.5

Answers

It’s A because 100 times number of hours is 100x and you add the 3.5 because that’s how many miles we already know he traveled.

Marquis wrote the linear regression equation y=1.245x-3.685 to predict the cost, y, of x songs purchased. Which is the best estimate of number of songs that marquis purchased?

Answers

The complete question is;

Marquis wrote the linear regression equation y = 1.245x - 3.685 to predict the cost, y, of x songs purchased. Marquis spent $40 on songs. Which is the best estimate of the number of songs that Marquis purchased?

Answer:

The best estimate of the number of songs that Marquis purchased = 35 songs

Step-by-step explanation:

First of all, let's make x the subject of the linear regression equation.

 We are given that,

 y = 1.245x - 3.685

 So,

 1.245x = (y + 3.685)

 x = (y + 3,685) / (1,245)

We are told that Marquis spent $40 on songs.

Thus;

Substituting the value of $40 for y into the equation to get;

 x = (40 +3,685)/(1,245)

x = 35.09

x ≈ 35

 

Thus, the best estimate of the number of songs that Marquis purchased is 35

Answer:

the number of songs that Marquis purchased is 35

What is the probability that the first marble is green a the second is red? Write fraction in simplest form.

Answers

There’s 9 marbles in total and 5 green 2 red and 2 blue so if the first marble is green it would be a 5/9 chance of getting the marble same with the red but the fraction is 2/9

Which situation describes INDEPENDENT events? A) One student is chosen from Classroom A, then a student is chosen from Classroom B. B) One card is chosen from a standard deck, it is set aside, then a second card is drawn. C) One student is chosen from Classroom A, then a second student is chosen from Classroom A. D) Tom chooses a letter of the alphabet, then Beth must choose a different letter from the alphabet.

Answers

Answer:

Step-by-step explanation:

A) One student is chosen from Classroom A, then a student is chosen from Classroom B

the sets for each probability to happen are different. what happen in first clause is unrelated to the second clause

I need some help please!! I'll give brainliest to first answer!!!!!!!!!!!!!

Answers

Answer:

Keith; -5, -12

Step-by-step explanation:

Logic ( Subtract 12 from both sides, then factor it out)


What is the base 8 representation of the number 600?

Answers

Answer:

1130

Step-by-step explanation:

8x75=600

8÷9=72+3

8×1=8+1=9

8×1+1=9

Answer:1130^8

Step-by-step explanation:trust me bro

15 5 6 6 19 4 5 5 3 4 5 19 5 4 6
What is the mean? Round your answer to the nearest tenth.

Answers

counter = 0
sum = 0

while we haven't covered all the numbers, repeat these:
Step 1: sum = sum + (next number)
Step 2: counter = counter + 1

When all numbers are covered: the average is (sum/count)

In a quadrilateral, the measure of two opposite angles is the same. Each of the other
two angles measures exactly two times the given angle. Find the measure of each angle
in the quadrilateral.

Answers

Answer:

the two opposite angles equal 45 and the other two who are twice the amount is 90

Step-by-step explanation:

sum of angles in a quadrilateral is 360. Lets name the two equal diagonal angles x that means the equation wil be

x+x+2x+2x=360

8x=360

x=45

so the equal diagonal ones will be 45 and the other two angles will be twice as much so 45x2=90

PLEASE HELP

For a hypothesis test of H0: p = 0.35 against the alternative Ha: p > 0.35, the z test statistic is found to be 2.45. What can be said about this finding?


A. The finding is significant at α = 0.05, but not at α = 0.01.


B. The finding is significant at α = 0.01, but not at α = 0.05.


C. The finding is significant at both α = 0.05 and α = 0.01.


D. The finding is not significant at α = 0.05 and α = 0.01.

Answers

Answer:

C

Step-by-step explanation:

Is is a one-tailed test

P(z < 2.45) = 0.9929

1 - 0.9929 = 0.0071

Significant at both 0.05 and 0.01 because both are greater than 0.0071

Answer:

The finding is significant at both α = 0.05 and α = 0.01.

In ΔMNO, the measure of ∠O=90°, MN = 9 feet, and OM = 4.2 feet. Find the measure of ∠N to the nearest degree.

Answers

Answer:

The measure of angle N to the nearest degree is 28 degrees

Step-by-step explanation:

To answer this question, we shall be needing a diagrammatic representation of the triangle. Please check attachment for this.

To calculate the angle N, we shall be making use of trigonometric identities. From the diagram we see that we have the hypotenuse ( the longest side and the side facing the angle 90) and also the opposite ( the side facing the angle N)

Thus, the correct trigonometric identity to use here is the Sine

Mathematically, the sine of an angle = length of the opposite/length of the hypotenuse

Our opposite here is 4.2 feet with our hypotenuse as 9 feet

Plugging these values, we have

Sin N = 4.2/9

Sin N = 0.46666667

N = arc sin (0.46666667)

N = 27.82 , to the nearest degree we have 28 degrees

Answer:

28°

Step-by-step explanation:

:)

Laura drives a garbage truck that weighs 3 tons. She picked up 2 tons of recyclables. What is the total weight in pounds of the garbage truck and recyclables?

Answers

Answer:

Step-by-step explanation:

Total weight=The garbage truck weight + recyclables weight =3 tons + 2 tons = 5 tons

Answer: 5

Step-by-step explanation:

3+2=5

what is surface area?​

Answers

the surface area is the area of the outside of a 3D shape for example, let’s say you have a cube, a cube has 6 sides, so you have to find the area of each side and then add it up, since it’s a cube you would technically have to find the area of one side and then just multiply it by 6, that would be the easiest way to do it


Hope I helped!

Find the value of k ,if x=2 and y=3.Find the equation of 2x+3y=k

Answers

Answer:

k=13

Step-by-step explanation:

substitute x and y

4+9=k

k=13

Answer:

13

Step-by-step explanation:

Plug in the given x and y values: 2(2) + 3 (3) = k

Then multiply 4 + 9 = k

Then add 13 = k

Using a fair, six-sided die, what is P(2 or 3)?

Answers

Answer: 2/6
With a fair 6 sided die there is a total of 6 outcomes 2 and three being one of those. There’s a 1/6 chance of getting a 2 and 1/6 chance of getting a 3.
1+1=2
So the probably of getting a 2 or 3 is 2/6 or simplified 1/3


If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in?

Answers

Answer:

12

Step-by-step explanation:

If there are 3 classrooms that each have 25 desks and there are a total of 87 students, how many more desks need to be added to a 4th classroom, that was originally empty, so that each of the students has a desk to sit in?

25 * 3 = 75

87 - 75 = 12

Which table could be used with Table A to verify that the function modeling Fahrenheit temperature, F(C), based on a given Celsius temperature, C, is the inverse of C(F)?

Answers

Answer:

Its A

Step-by-step explanation:

c=-20, -15, -5

f(c)=-4,5,23

gl with your test or quiz

Answer: its A

Step-by-step explanation:

Question 11 (1 point)
Identify the literary device being used - "It's so delightful to be home with a sick child twice in one week."
Blank 1:

Answers

Answer:

no clue bud

Step-by-step explanation:

A 25ft ladder is propped against a storeroom. The angle the ladder forms is 50°. How far up the storeroom does the ladder reach?

Answers

Answer:

This means the store room is 19.15ft up

Step-by-step explanation:

The set up of the question will form a right angle triangle.

The length of the ladder will be the hypotenuse of the triangle and the angle the ladder forms will be the angle of elevation. This angle of elevation will face the opposite side of the triangle which is the height of the storeroom directly.

Using the SOH CAH TOA trigonometry identity,

According to SOH;

Sin∅ = opposite/hypotenuse

∅ is the angle the ladder forms

sin50° = x/25

x = 25sin50°

x = 19.15ft

This means the store room is 19.15ft up

The area of a rectangular baking sheet is 25 square inches. The base of the sheet is 10 inches. What is the height?
2 and one-half in.
3 in.
3 and one-half in.
250 in.

Answers

Answer:

2 1/2

Step-by-step explanation:

take 25 and divide it by 10 giving you 5/2 but that equals 2.5 and 2.5 equals 2 1/2

Answer:
2 [tex]\frac{1}{2}[tex] in.
Step-by-step explanation:

Complete 8 for 15 points.

Answers

Answer:

756 is evenly divisible by 2, 3, 4, 6, and 9.

Step-by-step explanation:

756 is evenly distributed by the numbers (above).

756/2 = 378756/3 = 252756/4 = 189756/5 = 151.2 756/6 = 126756/8 = 94.5756/9 = 84 756/10 = 75.6 756/25 = 30.24

I am thinking of a number. My number is between 20 and 30 My number and 12 have only one common factor. What number could I be thinking of? Give all three possible answers.

Answers

Answer:

21, 22 and 26

Step-by-step explanation:

To answer this question first we need to know which are the factors of 12:

[tex]12= 2^2(3)[/tex]

So, now, we need 3 numbers that are between 20 and 30 and that only have one common factor with 12, in other words, they need to have just a 2 or a 3 in their factorization.

Let's take number 21:

[tex]21= (7)(3)[/tex], we can see that 21 only has a 3 and a prime so therefore it has only one common factor with 12

Now, let's take the number 22,

[tex]22=11 (2)[/tex], thus since 22 has a 2 and a prime, it has only one common factor with 12.

Now, let's take the number 26

[tex]26= 13 (2)[/tex], thus, since 26 has a 2 and a prime, it has only one common factor with 12.

Thus, the three possible answers are 21, 22 and 26

Find the number, if...

3/8 of it is 24.

Answers

Answer:

64

Step-by-step explanation:

To get the answer, just perform the reverse operation of what the question said. In this case, you would want to multiply by the reciprocal, which is (8/3). So the answer is found by just solving 24*(8/3).

Answer:

The number is 64

Step-by-step explanation:

Let the number be x

3/8 of x = 24

x = 24 ÷ (3/8)

[tex]x=24*\frac{8}{3}\\\\x=8*8[/tex]

x = 64

Please help ASAP! I will mark BRAINLIEST! Please answer CORRECTLY! No guessing!

Answers

Answer:

C. [tex]b^{27}[/tex]

Step-by-step explanation:

Assume b is a number like 3

([tex]3^{9}[/tex])³=19683³=7625597484987

[tex]3^{24}[/tex]=282429536481

B is definitely wrong. Not even going to try.

[tex]3^{27}[/tex]=7625597484987

D is definitely wrong. Not even going to try.

Find the value of x in these right-angled triangle, correct two decimal places A=20 B=7

Answers

Answer:

There are two possibilities: 1) A is the hypotenuse: [tex]C \approx 18.74[/tex], 2) A is not the hypotenuse: [tex]C \approx 21.19[/tex]

Step-by-step explanation:

Let be C the remaining side of the triangle. Given that triangle is right-angled and the remaining side can be found by Pythagorean Theorem, there are two options by using the two known sides:

1) A is the hypotenuse

[tex]20^{2} = 7^{2} + C^{2}[/tex]

[tex]C^{2} = 20^{2}-7^{2}[/tex]

[tex]C = \sqrt{20^{2}-7^{2}}[/tex]

[tex]C \approx 18.74[/tex]

2) A is not the hypotenuse

[tex]C^{2} = 20^{2} + 7^{2}[/tex]

[tex]C = \sqrt{20^{2}+7^{2}}[/tex]

[tex]C \approx 21.19[/tex]

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