What is the sum of 3/7 + 1/3

Answers

Answer 1

Answer:

16/21

Step-by-step explanation:

1) Find the least common denominator (LCD) of 3/7,1/3. In other words, find the Least Common Multiple (LCM) of 7,3.

LCD=21

2) Make the denominators the same as the LCD

[tex]\frac{3*3}{7*3} +\frac{1*7}{3*7}[/tex]

3) Simplify. Denominators are now the same.

[tex]\frac{9}{21} +\frac{7}{21} \\[/tex]

4) Join the denominators

[tex]\frac{9+7}{21}[/tex]

5) Simplify

[tex]\frac{16}{21}[/tex]

Answer 2

Answer:

[tex]{ \tt{ \frac{3}{7} + \frac{1}{3} }} \\ \\ = { \tt{ \frac{(3 \times 3) + (7 \times 1)}{21} }} \\ \\ = { \tt{ \frac{9 + 7}{21} }} \\ \\ = \: \dashrightarrow \: { \tt{ \frac{16}{21} }}[/tex]


Related Questions

The product of a number and 5 increased by 12 is 42. What is the number?

Answers

Answer:

6.

Step-by-step explanation:

6×5 = 30 (product=multiplication)

30+12=42 (increased=addition)

So, the answer is 6.

If a trip is 2 1/2 hours in a rain storm but 5/6 of that on a sunny day how long is the trip on a sunny day

Answers

5/2*5/6=25/12=2 and 1/12 hours

12 6 12 24
Select one:

A. 240 square units
B. 252 square units
C. 180 square units
D. 216 square units​

Answers

Answer:

B

Step-by-step explanation:

divide the given polygon into two (a square and a trapeziumarea of trapezium=1/2(a+b)×b 1/2(12+6)×12 ans 108square unitarea of a square=s×s 12×12 =144square unitadd 108+144=252square unit

Lacey filled a measuring cup with 1/2 of a cup of vegetable oil. Then she poured 1/3 of a cup of the oil into a frying pan. How much oil is left in the measuring cup?

Answers

Answer:

1/6 of a cup

Step-by-step explanation:

You're trying to figure out what 1/3 subtract 1/2 is, right?

Well first, convert both of them so they both have the same denominator.

Common Denominator = 6

So, 1/3 is 2/6 and 1/2 is 3/6 and 2/6 plus 3/6 is 5/6. Well, what's left in the cup? 6/6 subtract 5/6 is 1/6

Hope that helps!

Find the surface area of the prism.

Answers

Answer:

[tex]A=202\ cm^2[/tex]

Step-by-step explanation:

Given that,

The dimensions of the prism are 4 cm, 9 cm and 5 cm respectively.

The formula for the surface area of the prism is given by :

[tex]A=2(lb+bh+hl)[/tex]

Put all the values,

[tex]A=2(4(9)+9(5)+5(4))\\\\A=2(36+45+20)\\\\A=202\ cm^2[/tex]

So, the required surface area of the prism is equal to [tex]202\ cm^2[/tex].

Which point is directly above (4, -1)?
(-4,1)
(4,1)
(4,-1)

Answers

The point that would be directly above would be (4,1)

Answer:

(4,1)

Step-by-step explanation:

1: Different x value (bad: 8 units to the left of original point), different y value  (good: on higher horizontal line), d

2: Same x value  (good: same vertical line), different/higher y value  (good: 2 units above original point).

3: Same x value  (good: same vertical line), same y value (bad: same horizontal line, didn’t move higher or lower).

I hope this makes sense lol

The x-intercepts of a quadratic
(also called the zeros) occur
when the y-coordinate is [?].

Answers

Answer:

0

Step-by-step explanation:

The x-intercepts of a quadratic

(also called the zeros) occur

when the y-coordinate is [0].

That is why the x-intercepts are called zeros.

Answer:

0

Step-by-step explanation:

The x-intercepts of a quadratic

(also called the zeros) occur

when the y-coordinate is 0.

PLS HELP I NEED THIS IN 3 HOURS PLS DO NOT GIVE ME A LINK FOR AN ANSWER

A triangle scarf has an area of ​​70 square inches. The height of the triangle is 8 inches. Write and solve an equation to find the length of the base of the triangle.

A parallelogram-shaped window has an area of ​​18 1/3 square feet. The height of the window is 3 feet. What is the length of the base of the window?

Answers

Answer:

Step-by-step explanation:

as Area of triangle is=1/2 base*height

Given

area=70

height=h=8

base lenght=?

put values in above formula for unkown

70=1/2 (8*b)

70=4*b

b=70/4

b=17.5 units

Please help!

First phtoto is the answer options for all questons

Second image is the Questions

Answers

Answer:

M is (-7,3)

N is (0,1)

I think p is (4,0) but the option isn’t there so I must’ve done something wrong though I can’t find what-

What is the statement written as an equation

Answers

Answer:

3x+2=17 is the equation and x=5

Step-by-step explanation:

Answer:

Equation: 2 + 3x = 17

x = 5

Step-by-step explanation:

2 more than means: 2 +

3 times a number means: 3x

Is 17 means: = 17

Combine them all together:

2 + 3x = 17

Find x:

2 + 3x = 17

3x = 17 - 2

3x = 15

x = 5

f(x) = 3x + 7. What is f(4) ?

Answers

Answer:

I believe the answer is 19.

NO LINKS
Please help

Answers

Answer:

V≈1287.88

A≈1152.98

Step-by-step explanation:

No BS and show all of your work please and you must use the 1% or 10% method which I don’t know what that is LOL

Answers

I think it’s 10% since it’s more

Answers:

38% of 15 = 5.7

29% of 75 = 21.75

4% of 220 = 8.8

No idea what the 1% or 10% method is either. But these answers would be better then to leave the questions blank.

Plz help me well mark brainliest!

Answers

Answer:

9:59

Step-by-step explanation:

Answer:

C) 9:59

Step-by-step explanation:

Now 9:29

in 30 min 9:59

Find the mean 5575 5617 3324 7860 494 3204 275 6899 578

Answers

que mats soya de mućha la pañe trasdeće

A spinner marked off in seven ​equal-sized regions, numbered 1, 2, 3, 4, 5, 6, and 7​, is spun twice. Let the random variable X be the nonnegative difference between the numbers of the regions where the pointer​ stops, and define a probability mass function ​g(x)=​P(X=​x). ​a) State the range of X. ​b) Write g as a set of ordered pairs. ​c) Draw a probability distribution as a histogram. ​d) Find ​g(5​), and explain what this number represents. ​e) Find μ​, and explain what this number represents.

Answers

Step-by-step explanation:

To find - a) State the range of X. ​

              b) Write g as a set of ordered pairs.

              ​c) Draw a probability distribution as a histogram. ​

              d) Find ​g(5​), and explain what this number represents. ​

              e) Find μ​, and explain what this number represents.

Proof -

a.)

Range of X = { 0, 1, 2, 3, 4, 5, 6 }

b.)

(0, 7/49), (1, 12/49), (2, 10/49), (3, 8/49), (4, 6/49), (5, 4/49), (6, 2/49)

c.)

The graph is as follows :

d.)

The value of g(5) is 6/49

It represents the probability of the difference of the two spins is 5.

e.)

mean, μ = 2.29

It represents the average value of the spins

A survey report states that 70% of adult women visit their doctors for a physical examination at least once in two years. If 20 adult women are randomly selected, find the probability that: (a) Fewer than 14 of them have had a physical examination in the past two years. (b) At least 17 of them have had a physical exami- nation in the past two years

Answers

Answer:

a) 0.3921 = 39.21% probability that fewer than 14 of them have had a physical examination in the past two years.

b) 0.107 = 10.7% probability that at least 17 of them have had a physical examination in the past two years.

Step-by-step explanation:

For each women, there are only two possible outcomes. Either they visit their doctors for a physical examination at least once in two years, or they do not. The probability of a woman visiting their doctor at least once in this period is independent of any other women. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

70% of adult women visit their doctors for a physical examination at least once in two years.

This means that [tex]p = 0.7[/tex]

20 adult women

This means that [tex]n = 20[/tex]

(a) Fewer than 14 of them have had a physical examination in the past two years.

This is:

[tex]P(X < 14) = 1 - P(X \geq 14)[/tex]

In which

[tex]P(X \geq 14) = P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 14) = C_{20,14}.(0.7)^{14}.(0.3)^{6} = 0.1916[/tex]

[tex]P(X = 15) = C_{20,15}.(0.7)^{15}.(0.3)^{5} = 0.1789[/tex]

[tex]P(X = 16) = C_{20,16}.(0.7)^{16}.(0.3)^{4} = 0.1304[/tex]

[tex]P(X = 17) = C_{20,14}.(0.7)^{17}.(0.3)^{3} = 0.0716[/tex]

[tex]P(X = 18) = C_{20,18}.(0.7)^{18}.(0.3)^{2} = 0.0278[/tex]

[tex]P(X = 19) = C_{20,19}.(0.7)^{19}.(0.3)^{1} = 0.0068[/tex]

[tex]P(X = 20) = C_{20,20}.(0.7)^{20}.(0.3)^{0} = 0.0008[/tex]

So

[tex]P(X \geq 14) = P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1916 + 0.1789 + 0.1304 + 0.0716 + 0.0278 + 0.0068 + 0.0008 = 0.6079[/tex]

[tex]P(X < 14) = 1 - P(X \geq 14) = 1 - 0.6079 = 0.3921[/tex]

0.3921 = 39.21% probability that fewer than 14 of them have had a physical examination in the past two years.

(b) At least 17 of them have had a physical examination in the past two years

[tex]P(X \geq 17) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)[/tex]

From the values found in item (a).

[tex]P(X \geq 17) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0716 + 0.0278 + 0.0068 + 0.0008 = 0.107[/tex]

0.107 = 10.7% probability that at least 17 of them have had a physical examination in the past two years.

Please help me with this

Answers

The answer is C

Trust me bro

Simplify 12.856677878

Answers

Answer:

12.86

Step-by-step explanation:

this is rounded to the nearest hundredth

Can you figure out the missing number​

Answers

Answer:

Im not sure exactly what this is but it seems the answer is 6 because the only number 1-9 thats not there!

Step-by-step explanation:

Hope this helps!! :)

The missing number is 6

What are missing numbers?

Missing numbers are numbers omitted from a group or series of numbers.

The main purpose of finding a missing number is to determine the mechanism by which the numbers are arranged or encoded.

From the given information:

The number given is natural numbers from 1 - 9,The missing number in the series from 1 - 9 in the box is 6.

Therefore, we can conclude that the missing number is 6.

Learn more about the missing numbers here:

https://brainly.com/question/11170254

someone help me answer this

Answers

Answer:

51cm is the answer.

Step-by-step explanation:

a = ?

b = 68cm

c = 85cm

According to the Pythagoras theorem,

a² + b² = c²

a² + 68² = 85²

a² + 4624 = 7225

a² = 7225 - 4624

a² = 2601

a = 51cm

∴ the porch is 51cm tall.

A line goes through the points (-3,-6) and (6,9). Find the slope

Answers

Answer:

Slope = 5/3

-------------------

m =  5/3

Answer:

5/3

Step-by-step explanation:

Hello, to find the slope from two given points, you use this formula- y2-y1/x2-x1. In this problem, 9 would be y2, -6 would be y1, 6 would be x2, and -3 would be x1. The equation should look like this:

9-(-6)/6-(-3)

Since both are negatives, you would add it like this:

9+6/6+3= 15/9

Now, you need to simplify this fraction which is 5/3.

A ball is dropped from the top of a building that is 250 feet tall. The
height h of the ball in feet after t seconds is modeled by the function h =
- 16t2 + 250. How long will it take for the ball to reach a height of 75
feet? Round to the nearest tenth.

Answers

hi

-16t²+250 = 75

-16t² = 75 -250

-16t² = -175

  t² = -175 /-16

 t² = 175/16

Here there si two solutions :  t = [tex]\sqrt{175/16}[/tex]   and  t =  - [tex]\sqrt{175/16}[/tex]

However, as time cannot rewind,  we will  keep only positive solution

So t = [tex]\sqrt{175/16}[/tex]

   

in seconds  it will be  :  3.3 seconds

The base of a triangle is 9/4 times of its height. If the area of triangle is 144 cm2. Find the height and the base.

Answers

Step-by-step explanation:

Given that the base of triangle is 9/4 times of its height . And area is 144 cm² . Let the height be h , then its base be 9h/4 .

• According to Question :-

[tex]\tt\to Area_{(\triangle)}=\dfrac{base\times height}{2}\\\\\tt\to 144cm^2 = \dfrac{9h\times h}{4\times 2 } \\\\\tt\to h^2 =\dfrac{12\times 12 \times 2 \times 2 }{3\times 3 }\\\\\tt\to h =\sqrt{\dfrac{12\times 12 \times 2 \times 2 }{3\times 3 }}\\\\\tt\to h =\dfrac{(12)(2)}{3} \\\\\tt\to \boxed{\orange{\tt h = 8 cm }}[/tex]

Therefore ,

Height = h = 8cm .Base ,= 9h/4 = 18cm .

Plzz help will mark brainleast

Answers

Answer:

A-1 central nervous system

b- peripheral nervous

1 Remy has 4 monster trucks, 3 firetrucks, 1 ambulance, and 2 taxis. He will randomly choose. what is the probability that Remy will choose a taxi
A 1/10
B 1/5
C 2/4
D 1/3

Answers

Answer:

B) 1/5

Step-by-step explanation:

Remy has 2 taxis, and 10 cars in all. It is asking for the probability that Remy will choose a taxi. Divide the amount of taxis from the total amount of cars. Simplify the fraction:

2/10 = (2/10)/(2/2) = 1/5

B) 1/5 is your answer.

~

Answer:

Mmmmm maybe is A 1/10 por que se suman todas las posibilidades y luego se le coloca la cantidad que podria elegir

PLS PLS PLS ANSWER IT QUICKKKK

Answers

Answer:

A

Step-by-step explanation:

A model rocket is launched with an initial upward velocity of 62/ms. The rocket's height h (in meters) after t seconds is given by the following.
h=62t-5t^2
Find all values of t for which the rocket's height is 29 meters.
Round your answer(s) to the nearest hundredth.

Answers

9514 1404 393

Answer:

  t = 0.49, 11.91

Step-by-step explanation:

A graphing calculator can show you the answers quickly. The times are 0.49 seconds and 11.91 seconds.

__

We can write the equation as ...

  h = 29

  62t -5t^2 = 29 . . . . . substitute for h

  -5(t^2 -12.4t) = 29

  -5(t^2 -12.4t +6.2^2) = 29 -5(6.2^2) . . . . complete the square

  -5(t -6.2)^2 = -163.2 . . . . . simplify

  t -6.2 = ±√(-163.2/-5) = ±√32.64 . . . . divide by -5, take the square root

  t = 6.2 ±5.71

  t = 0.49, 11.91

The rocket has a height of 29 meters at t=0.49 seconds and t=11.91 seconds.

Please help me i have no clue what the answer is :?

Answers

Answer:

1. Yes

2. They could change the 60° angle into a different one.

Step-by-step explanation:

1. Two triangles are the same if they share two side lengths with the same angle between them.

2. Since the triangles are equal if they share two side lengths with the same angle between them, if they changed the angle between 3 and 5, it'd no longer be the same triangle.

I cant see the photooooo

I Need Help ;-; pls its timed

A rectangle is shown on a coordinate plane with vertices A(Negative 4, 8), B(1, 8), C(1, Negative 1), and D(Negative 4, Negative 1).

On a coordinate plane, a rectangle has 4 points. Point A is (negative 4, 8), point B is (1, 8), point C is (1, negative 1), point D is (negative 4, negative 1).

What are the dimensions of the rectangle?
The base is 4 units and the height is 9 units.
The base is 5 units and the height is 7 units.
The base is 5 units and the height is 9 units.
The base is 9 units and the height is 3 units.

Answers

Answer:

The correct answer is the third option

Step-by-step explanation:

I used a graphing calculator and also did L(W). But, the length (height) was 9 and (base) width 5

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