Simplify:.........

[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15} [/tex]

Answers

Answer 1

Answer:

[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15} [/tex]

[tex] \frac{13}{5} + \frac{13}{10} - \frac{47}{15} [/tex]

LCM of 5,10,15=30.

[tex] = \frac{13 \times 6 + 13 \times 3 - 47 \times 2}{30} [/tex]

[tex] = \frac{78 + 39 - 94}{30} = \frac{117 - 94}{30} = \frac{23}{30} [/tex]

Answer 2

Simplifying [tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}[/tex] is equal to [tex]\frac{23}{30}[/tex]

Given the following equation:

[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}[/tex]

What is a fraction?

A fraction refers to a numerical quantity that isn't expressed as a whole number. Therefore, a fraction is simply expressed as a part of a whole number.

The parts of a fraction.

In Mathematics, a fraction consists of two (2) main parts and these are:

NumeratorDenominator

In this exercise, you're required to simplify the given fractions. Thus, we would convert the mixed fraction to a single fraction as follows:

[tex]2 \frac{3}{5} + 1 \frac{3}{10} - 3 \frac{2}{15}=\frac{13}{5} +\frac{13}{10} -\frac{47}{15}[/tex]

Note: Lowest common multiple (LCM) of 5, 10 and 15 = 30.

[tex]\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{78+39-94}{30} \\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{117-94}{30}\\\\\frac{13}{5} +\frac{13}{10} -\frac{47}{15}=\frac{23}{30}[/tex]

Read more on fractions here: brainly.com/question/368260


Related Questions

If a disease outcome had odds of 1:1 in a high-risk subgroup, that would mean that the disease outcome would certainly occur (100% probability). True False

Answers

The answer is True since 1:1 is 100%

Elissa is readiing a 627 page book She has reached page 239
How many pages does she have ot read before finishing the book?

Answers

Answer :

388 Pages Left

Explanation : 627 - 239  

◊ YusuCr ◊

please help asap!! 20 points
3*f(-4)-3*g(-2)

Answers

Answer:

-27

Step-by-step explanation:

By inspection of the graph

f(-4) = -3

g(-2) = 6

Therefore, 3 · f(-4) - 3 · g(-2)  = (3 x -3) - (3 x 6) = -27

Please help me with this question

Answers

Answer:

8 cm

Step-by-step explanation:

V = 1/3 (Base Area) × h

216cm³ = 1/3(81cm²) × h

216cm³ = 27cm² × h

÷ 27cm   ÷ 27cm

8 cm = h

I hope this helps!

Gavin has $20 to spend at an arcade. He spends $8.75 on lunch and plans to use the rest of his money on game tickets. Each game ticket costs $1.25. The inequality 1.25t+8.75 ≤20 can be used to find t, the number of game tickets Gavin can buy. What is the solution to this inequality?

Answers

Answer: 9 tickets

Step-by-step explanation: you have to subtract the $8.75 from lunch and then divide it by $1.25 to see the maximum quantity of tickets he can purchase with his remaining money

PLEASE HELP I'LL GIVE ANYTHING


simplify the expression

60m - 15 (4 - 8m) + 20​

Answers

Answer:

180m-40

Step-by-step explanation:

60m- 60 + 120 +20

=180m-40

180m-40

Step-by-step explanation:

if right please brainliest

find four consecutive odd integers such that the sum of twice the smallest and the largest is 11 more than the sum of the middle two integers

Answers

Answer:

x+(2+x)+(4+x)+(6+x)= x+12

2x + 6+x = 3x +6

2+ x + 4+x= 2x + 6

2x + 6 + 11 = 3x+6

2x + 17 = 3x +6

3x-2x = 17-6

x = 11

therefore the four consecutive odd integers are

11, 13, 15 and 17

Two numbers add to 336 and the first is 126 bigger than the five times the second. What are the two numbers?

Answers

Answer:

301, 35

Step-by-step explanation:

1st number = x, 2nd = y

x + y = 336

x = 126 + 5y

Then

(126 + 5y) + y = 336

6y = 336 - 126 = 210

y = 210/6 = 35

x = 126 + 5y = 126 + 5*35 = 301

Or x = 336 - 35 = 301

The two numbers are 301 and 35

please answer this question

Answers

A^2 + B^2 =C^2
15^2 + 8^2 =C^2
225+64= C^2
289= C^2

Then take the square root of both
C=17km

Answer:

7km

Step-by-step explanation:

[tex] {15}^{2} + {8}^{2} = {c}^{2} \\ 225 + 64 = 289 \\ {c}^{2} = 289 \\ c = \sqrt{289 } \\ c = 17km[/tex]

Celia will be celebrating her 18th birthday. She plans to purchase coin purses as give away gifts A purse costs 50 pesos. How much will the number of coin purses (n) cost if the total cost i represented by A? Write the rule or equation of the situation and give at least 3 ordered pairs.​
PLSSS PATULONG PO

Answers

Answer:

Rule: A=50n

Step-by-step explanation:

Because each purse is 50 pesos, and n is the number of purses, and 50n would be the total cost, otherwise known as A.

Our rule is: A=50n

Then we insert 3 values for n, and solve to get the ordered pairs.

n=3 purses, A=3*50=150 dollars

n=4 purses, A=200 dollars

n=5 purses, A=250 dollars

Your friend is having trouble analyzing solutions to linear equations. Create a study guide for your friend and include the following.

Explain what a solution to an equation is.
Provide an example of an equation with exactly one solution. Prove why it has one solution.
Provide an example of an equation with no solution. Prove why it has no solution.
Provide an example of an equation with infinitely many solutions. Prove why it has infinitely many solutions.
Explain the general process for determining whether an equation has one, infinitely many, or no solution.

Answers

Answer:

Sana all my jówa haha thanks

how to factor x^3 + x - 4 = 0

Answers

Answer:

X = 1.378797

Step-by-step explanation:

However, the following root(s) were found by numerical methods.

X = 1.378797

A burrito costs $6.50 at a local restaurant.

Answer the questions below.

Answers

Answer:

there is no question you just made a statement

Write the trinomial as a square of a binomial or as an expression opposite to a square of a binomial: 4cd -25c^2 -0.16d^2

Answers

Answer:

= -(5c - 0.4d)^2

Step-by-step explanation:

4cd - 25c^2 - 0.16d^2

= 4cd - (5c)^2 - (0.4d)^2

= -[(5c)^2 -2*5*0.4cd + (0.4d)^2]

= -[(5c)62 - 2*(5c)*(0.4d) + 0.4d)^2]

= -(5c - 0.4d)^2

An Isosceles Triunde
has legs measure
3x^4 - 6x-1 unit.
The Perimeter of the
triangle is
7x^4 - 3x^3-x-6
Find the Base.

Answers

Answer:

base = [tex]x^4 - 3x^3+11x-4[/tex]

Step-by-step explanation:

An isosceles triangle has 2 sides of equal length (a) and base (b)

⇒ perimeter of an isosceles = 2a + b

Given:

[tex]\textsf{leg (a)}=3x^4 - 6x-1[/tex]  [tex]\textsf{perimeter}=7x^4 - 3x^3-x-6[/tex]

[tex]\implies \textsf{perimeter}=2a+b[/tex]

[tex]\implies 7x^4 - 3x^3-x-6=2(3x^4 - 6x-1)+b[/tex]

[tex]\implies 7x^4 - 3x^3-x-6=6x^4 - 12x-2+b[/tex]

[tex]\implies x^4 - 3x^3+11x-4=b[/tex]

Therefore, base = [tex]x^4 - 3x^3+11x-4[/tex]

Answer:

Perimeter=sum of sides

Let base be y

[tex]\\ \tt\longmapsto 3x^4-6x-1+3x^4-6x-1+y=7x^4-3x^3-x-6[/tex]

[tex]\\ \tt\longmapsto 6x^4-12x-2+y=7x^4-3x^3-x-6[/tex]

[tex]\\ \tt\longmapsto y=x^4-3x^3+11x-4[/tex]

Find the factored form of the expression.
3x^2 + 300 = 0

The answer needs to be . 3(x − 10 i )(x + 10 i ) can you show the work to get to this?

Answers

Answer:

Step-by-step explanation: 3x^2 + 300 = 0

is a monomial expresion.

explain why the product of one positive factor less than 1 and one factor greater than 1 is between both factors

Answers

Answer:

because the force of attraction is greater than one

because the force of attraction is stronger than the force of repulsion

Please answer the question in the picture

Answers

Answer:

your answer will be (yes = true)

PLease hurry! i need it! And the testing thing is happening, so before 6 pm?

Answers

Answer:

y = 6

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}-x+3y=9\\y = \dfrac{2}{3}x\end{cases}[/tex]

Step 1: Substitute the second equation into the first and solve for x.

[tex]\\\implies -x+3\left(\dfrac{2}{3}x\right)=9\ \textsf{[ Multiply. ]}\\\\\implies -x+2x=9\ \textsf{[ Combine like terms. ]}\\\\\implies \boxed{x=9}[/tex]

Step 2: Substitute 9 as the value of x in any equation and solve for y.

[tex]\\\implies-9+3y=9\ \textsf{[ Add 9 to both sides. ]}\\\\\implies -9+9+3y=9+9\\\\\implies 3y=18\ \textsf{[ Divide both sides by 3. ]}\\\\\implies \dfrac{3y}{3}=\dfrac{18}{3}\\\\\implies \boxed{y=6}[/tex]

The solution to the given system of equations is (9, 6).

Learn more here:

brainly.com/question/27868564

A square box is being cut apart and has the measurement shown below what is the surface area of the box

Answers

Answer:

73.5 in^2

Step-by-step explanation:

Box has six sides as represented in the image. Since it is a square, you can multiply the 2 sides to find area of the square. 3.5x3.5=12.25 and since there are 6 sides, 12.25x6=73.5.

Someone help me please

Answers

Answer:

A is 75

B is 15

C is 105

Step-by-step explanation:

90-75=15

B is 15

A and C have a total of 180 degrees

180-75=105

C is 105

180-105=75

A is 75

90+75= 165
180-165=15
b=15
180-75=105
C=105
15+90= 105
180-105=75
a=75

Hope it help you!!

hello help me with this question thanks in advance

need solution​

Answers

As per questions,

1)

Angle SKR = 90° (Diagnols dissecting each other in a Kite forms a right angle)

[Option C]

2)

Angle RAT = 32° (Given RAT means that the value is given for the middle alphabet, which means A is 64°. As RAK is half of full angle A, so, 64÷2 )

[Option A]

3)

Angle ARS = 116° (180°-64° = 116°)

[Option D]

4)

Angle KRS = 58° (We know that ARS is 116°, So, KRS is its half, which means 116÷2)

[Option B]

5)

All of the above as all the given sides have 90° angle.

[Option D]

Need help fast Real fast What is the area

Answers

Answer:

508

Step-by-step explanation:

23 * 13 = 299

19 * 11 = 209

299+209=508


help!! Please !! Thank you if you help

Answers

X is greater than or equal to 4

If you used a random number generator for the numbers from 1 through 20 to play a game, what is the theoretical probability of getting each of these outcomes?

a. A multiple of 3 or a multiple of 7, P(multiple of 3 or multiple of 7)

b. P(even or odd)

c. P(prime or 1)​

Answers

Answer: See below

Step-by-step explanation:

Game 1:

20 total numbers

Probability = Multiples of 3 and 7/Total Numbers

P = 8/20

P = 2/5 or 40%

Game 2:

20 total even or odd numbers

Probability = Number of even and odd/Total Numbers

P = 20/20

P = 1 or 100%

Game 3:

8 prime numbers and 1 = 9 total

Probability = Number of prime numbers or 1/Total Numbers

P = 9/20 or 45%

a) The probability of a multiple of 3 or a multiple of 7 is 40%.

b) The probability of even and odd is 100%.

c) The probability of the number being prime is 45%.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Game 1:

20 total numbers

Probability = Multiples of 3 and 7/Total Numbers

P = 8/20

P = 2/5 or 40%

Game 2:

20 total even or odd numbers

Probability = Number of even and odd/Total Numbers

P = 20/20

P = 1 or 100%

Game 3:

8 prime numbers and 1 = 9 total

Probability = Number of prime numbers or 1/Total Numbers

P = 9/20 or 45%

To know more about probability follow

https://brainly.com/question/24756209

#SPJ2

Nuka is weaving beaded strips. The double number line shows that they can weave 7 cm of the strip in 4
minutes.
4
+
+
0
Time
A
(minutes)
Length
(cm)
H
0
+ +
7
Based on the ratio shown in the double number line, what length can Nuka weave in 5 minutes?
cm
Report a problem

Answers

Number lines are used to represent numbers and ratios using regular intervals

Nuka can weave 8.75 cm of strip in 5 minutes

How to determine the length of strip

Represent the ratio with:

Ratio = Length : Time

From the number line, they can weave 7cm of the strip in 4 minutes.

So, we have:

Ratio = 7cm : 4 minutes

Represent the length of strip made in 5 minutes with x.

So, we have:

x : 5 minutes = 7cm : 4 minutes

Remove the common units

x : 5 = 7cm : 4

Express as fraction

[tex]\frac x5 = \frac 74[/tex]

Divide 7 by 4

[tex]\frac x5 = 1.75[/tex]

Multiply through by 5

[tex]x= 8.75[/tex]

Hence, Nuka can weave 8.75 cm of strip in 5 minutes

Read more about double number lines at:

https://brainly.com/question/26629835

The ABC Book club charges $40 monthly fee, plus $2 per book read in that month. The east book club charges a $35 monthly fee, plus $3 per book read in that month. For each club, how many y books must be read in 1 month for the total charges from each club to be equal

1
2
4
5
6
75

Answers

1. Is the best one here because 1+1

Given that a:b:c= 20 : 35 : 15, a) simplify a : b:c, b) find a:b,
c) find c:b

Answers

Answer:

a) 4:7:3

b) 4:7 / 20:35

c) 3:7 / 15:35

Please help on this question I don’t understand it f(x)=(x1/5-7)^7 please

Answers

Answer:

Step-by-step explanation:

B. maybe i think that but sorry I'm just using mental math

Twenty-three more than three times a number is equal to the difference between -32 and twice the number. Find the number.

Answers

Answer:

the answer would be -202

Step-by-step explanation:

since the number your starting with is 23 you would take 23 and × by 3 which gives you 69 then take -32 and subtract that by 69 then what ever you got for that you would multiply it by 2 and then get -202

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