simplify: -7/9-(-5/12)+1/3. ​

Answers

Answer 1

Step-by-step explanation:

please mark me as brainlest

Simplify: -7/9-(-5/12)+1/3.
Answer 2

Answer:

[tex]\sf -\dfrac{1}{36}[/tex]

Explanation:

[tex]\rightarrow \sf -\dfrac{7}{9} -(-\dfrac{5}{12} )+\dfrac{1}{3}[/tex]

remove parenthesis

[tex]\rightarrow \sf -\dfrac{7}{9} +\dfrac{5}{12} +\dfrac{1}{3}[/tex]

all the denominators has a common multiple of 108

[tex]\rightarrow \sf -\dfrac{7(12)}{108} +\dfrac{5(9)}{108} +\dfrac{1(36)}{108}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{-84}{108} +\dfrac{45}{108} +\dfrac{36}{108}[/tex]

join the fractions

[tex]\rightarrow \sf \dfrac{-84+45+36}{108}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{-3}{108}[/tex]

simplify

[tex]\rightarrow \sf -\dfrac{1}{108}[/tex]


Related Questions

What would you do if fear was not a factor and you could not fail?`

i know it's not a maths question but let's try

Answers

Answer:

Well, i would just say you just had to do your best in everything that you do. No pressure , no stress don't overwork yourself and simply take action. Then you will have a chance to get what you want because you tried your best to get to it. Although sometimes we don't get what we want, atleast we'll be closer. As they say, 'Aim for the sun to reach the moon"

Step-by-step explanation:

You're welcome

A company makes chocolate candies in the shape of a solid sphere. Each piece of candy has a diameter of 9 cm . If a box contains 10 pieces of candy, how much chocolate does the box contain?
Use 3.14 for π, and do not round your answer.

Answers

Step-by-step explanation:

The Volume of a Sphere ( One piece of candy ) = 4/3πr³

r = diameter/2 = 9/2 = 4.5 cm

Volume = 4/3(3.14)(4.5³)

V = 381.51 cm³

the box contains 10 pieces so the box contains :

381.51 x 10 = 3815.1 cm³ of chocolate

I need step by step written answer for this​

Answers

Answer:

-1/2

Step-by-step explanation:

2/5 * - 3/7 - 1/14 - 3/7 * 3/5

= - 6/35 - 1/14 - 9/35

= - (6*2)/(35*2) - (1*5)/(15*5) - (9*2)/(35*2)

= - 12/70 - 5/70 - 18/70

= (-12 - 5 - 18)/70

=- 35/70

= - 1/2

2/5 * - 3/7 - 1/14 - 3/7 * 3/5
- 6/35 - 1/14 - 9/35
- (6*2)/(35*2) - (1*5)/(15*5) - (9*2)/(35*2)
- 12/70 - 5/70 - 18/70
= (-12 - 5 - 18) /70
=- 35/70
- 1/2

evaluate the expression 4 3x when x is 2

Answers

4 times 3(2) = 24
24 would be the answer

Which of the numbers below is greater than 36.785 Select all that apply

A) 36.78
B) 36.79
C) 41.2
D) 36.789

Answers

B. 36.79
C. 41.2
D. 36.789

Use rounding to estimate the product of 5, 555 and 4, 444. Round both numbers to the nearest thousand to find your answer.
The solution is

Answers

Step-by-step explanation:

5,555 can be rounded up to 6,000 because the 5 next to the five thousand will make it go up. while the 4,444 will round to 4,000 . I don't have a clear answer but I hope this helps.

can someone please help with this problem please

Answers

Answer:

1360 seats sold

Step-by-step explanation:

total seats = 1600

total seats sold = 85% of 1600

= 85/100 × 1600

= 85 × 16

= 1,360 seats sold

John multiplies one side of the equation 20 + 48 = 68 by a number s. What does he need to do balance the equation?

Answers

hello!

In order to balance the equation, John should multiply the second side of the equation by s.

Why?

Remember the Golden Rule of Algebra:-

[tex]\bigstar{\boxed{\sf{Whatever~you~do~to~one~side,~you~do~to~the~other.}}[/tex]

So if you multiply 1 side of the equation by s, you multiply the second side by s.

Please tell John about the Golden Rule of Algebra ;)

note:-

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Figure ABCD is a parallelogram.

Parallelogram A B C D is shown. A diagonal is drawn from point A to point C.

Which sequence could be used to prove that AD = BC?

First prove TriangleABC is congruent to TriangleCDA, and then state AD and BC are corresponding sides of the triangles.
First prove TriangleABC is similar to TriangleCDA, and then state AD and BC are opposite sides of the parallelograms.
First prove ParallelogramABCD is congruent to ParallelogramCDAB, and then state AD and BC are corresponding sides of two parallelograms.
First prove ParallelogramABCD is similar to ParallelogramCDAB, and then state AD and BC are opposite sides of the parallelograms.

Answers

Answer:

A

First prove Triangle ABC is congruent to Triangle CDA, and then state AD and BC are corresponding sides of the triangles.

Hope this helps!

Please Mark Brainleast!!!

The sequence to prove that AD = BC is; First prove ABC is similar to CDA, and then state AD and BC are opposite sides of the parallelograms.

How to prove Quadrilateral Theorems?

From the question, we see that the parallelogram ABCD has a diagonal AC. Thus; AB║ CD and AD║BC.

Now, the parallelogram is divided into two triangles ΔABC and ΔADC by its diagonal AC.

Thus;

∠ACB = ∠DAC  and ∠CAB = ∠ACD  because they are alternate interior angles.

Also, AC = AC  (Reflexive property)

Thus; by ASA congruence postulate, we can say that; ΔABC ≅  ΔADC

Also, by corresponding sides of the congruent triangles are congruent we can say that AD = BC.

Read more baout Quadrilateral proofs at; https://brainly.com/question/2698923

In a certain year, 26% of people aged 65–69 worked. Suppose that a recent report claimed that the percentage of people aged 65–69 who work has increased since that year.

Answers

Considering the situation described, the appropriate hypotheses set is given by:

[tex]H_0: p = 0.26[/tex]

[tex]H_1: p > 0.26[/tex]

What are the hypotheses test?


At the null hypotheses, we test if there is not enough evidence that the percentage has increased, that is, it still is of 26%, hence:

[tex]H_0: p = 0.26[/tex]

At the alternative hypotheses, we test if there is evidence that it has increased, hence:

[tex]H_1: p > 0.26[/tex]

More can be learned about hypothesis tests at https://brainly.com/question/26454209

A patio in the shape of a trapezoid has vertices at (4, 1), (5, 4), (9, 4), and (9, 1).
A 4.1
B 5.4
C 9.4
D 9.1
NEED THIS ANSWER ASAP!!!

Answers

Answer: See attached

Step-by-step explanation:

     Coordinate points come in (x, y) so we graph them as so.

(4, 1) - Starting at (0, 0), also known as the origin, move four units right and one unit up. Plot point A here.

(5, 4) - Starting at (0, 0), also known as the origin, move five units right and four units up. Plot point B here.

(9, 4) - Starting at (0, 0), also known as the origin, move nine units right and four units up. Plot point C here.

(9, 1) - Starting at (0, 0), also known as the origin, move nine units right and nine units up. Plot point D here.

125% of what number is 80?
Oa 36
Oь 40
Os 64
Od 72

Answers

Answer:

d. 72

Step-by-step explanation:

Answer :D

64

Step-by-step explanation:

We have, 125% x x = 80

or [tex]\frac{125}{100}[/tex] x x = 80

Multiplying both sides by 100 and dividing both sides by 125,

we have x = 80 x [tex]\frac{100}{125}[/tex]

x = 64

(or just divide 80 x 100 ÷ 125)

Hope this helps - Answered by Lilo

how do you solve 7/8+(4/8-2/4)

Answers

the answer is 7/8 find a common denominator or cross multiply

How many gallons is equal to 48 cups?

Answers

Answer:

3 US galloons

In the figure below, triangle QRT, triangle RSQ, and triangle QST are scalene triangles.

If mQRS = 37° and mTQS = 34°, what is mTQR?
A.
87°
B.
90°
C.
93°
D.
109°

Answers

mTQR = 87°

HOPE IT HELPS...!!!

Answer:

[tex] \sf m \angle TQR = 87 \degree[/tex]

Step-by-step explanation:

Given:

QRT, RSQ and QST are scalene traingle.

[tex]m \angle QRS = 37 \degree \\ m \angle TQS = 34 \degree \\ m \angle QST = 90 \degree[/tex]

To find:

[tex]m \angle TQR = ?[/tex]

Solution:

In ∆ QTS,

[tex] \sf \: m \angle TQS + m \angle QTS +m \angle QST = 180 \degree \: \\ \sf (properties \: of \: triangle)[/tex]

[tex] \sf \: 34 + m \angle QTS +90 = 180 \degree \: \\ \sf m \angle QTS = 180 - 90 - 34 \\ \sf \: m \angle QTS = 180 - 124 \\ \sf \: m \angle QTS = 56 \degree[/tex]

Now in ∆QTR,

[tex] \sf \: m \angle QTR + m \angle TQR + m \angle TRQ \: = 180 \degree \\ \sf (properties \: of \: triangle)[/tex]

[tex] \sf \: 56 + m \angle TQR + 37 \: = 180 \degree \\ \sf m \angle TQR = 180 - 56 - 37 \\ \sf m \angle TQR = 87 \degree[/tex]

Thanks for joining brainly community!

can someone please help me

Answers

Answer:

x = 49

Step-by-step explanation:

corner point b = 41

d = right angle ( 90 )

90 + 41 = 131

180- 131 = 49

x = 49

p.s

im not sure if d is a right angle if it is not please inform me.

write the fractions in least to greatest
1/5 3/4 1/3 2/4 6/24

Answers

Answer: 1/5 6/24 1/3 2/4 3/4

Step-by-step explanation: bigger the denominator smaller the value.

Rewrite the equation by completing the square. X^2-14x+40=0

Answers

Answer:

(x – 7)² – 9

Step-by-step explanation:

I hope this helps

find the 39th term for the aritmethic sequence, 10,15,20

Answers

because you are increasing by 5, you multiply 39x5
this will equal 195.
because you didn’t start at 5, you have to add 10-5 to your answer.
this will make your answer 200.

The 39th term of the sequence is 200.

What is Arithmetic Sequence?

Arithmetic sequence or arithmetic progression is the set of numbers for which the difference of any two consecutive numbers in that set will be a constant.

The constant term which is the difference of the two consecutive numbers is called the common difference and is usually denoted by 'd'.

Arithmetic sequence is usually represented as

a, a + d, a + 2d, ........, a + (n - 1)d

The nth term of an arithmetic sequence, aₙ is given by the formula,

aₙ = a + (n - 1) d

where, a is the first term and d is the common difference.

The given sequence is 10, 15, 20, ......

a = 10

d = 15 - 10 = 5

Here, we have to find the 39th term of the sequence.

a₃₉ = 10 + (39 - 1) 5

     = 10 + (38 × 5)

     = 10 + 190

     = 200

Hence, the 39th term of the progression 10, 15, 20,..... is 200.

To learn more about Arithmetic Sequence, click:

https://brainly.com/question/29616017

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Write a
quadratic equation for each pair
of solutions.
√200T and - √2001

Answers

Answer:

x^2 - 2001 = 0

Step-by-step explanation:

I guess you mean √2001 and -√2001

The product of the 2 solutions = -2001 and the sum is 0.

The required equation  is x^2 - 2001 = 0

It’s from khan academy

B=10 H=8

Find the area of the parallelogram
Use the slider to help you remember the formula

Answers

Answer:

80

Step-by-step explanation:

area of parallelogram is b(vh)

A sample of bacteria is decaying according to a half-life model. If the sample begins with 500 bacteria,
and after 17 minutes there are 150 bacteria, after how many minutes will there be 10 bacteria
remaining?
When solving this problem, round the value of k to four decimal places and round your final answer to
the nearest whole number.

Answers

contact +2348021312463, he can help you

after approximately 137 minutes, there will be 10 bacteria remaining.

To find the time at which there will be 10 bacteria remaining, we can use the half-life model for exponential decay, which is given by:

N(t) = N₀ * [tex](1/2)^{(t / t_{half})[/tex]

where:

N(t) = the number of bacteria at time t

N₀ = the initial number of bacteria

t = time (in minutes)

t_half = the half-life of the bacteria

We are given that the initial number of bacteria (N₀) is 500 and after 17 minutes there are 150 bacteria (N(17) = 150).

Let's use this information to find the value of k (the decay constant):

150 = 500 * [tex](1/2)^{(17 / t_{half})[/tex]

Divide both sides by 500:

[tex](1/2)^{(17 / t_{half})[/tex] = 150 / 500

[tex](1/2)^{(17 / t_{half})[/tex] = 0.3

Now, we can write the equation as an exponent:

17 / t_half = log base (1/2) of 0.3

Using logarithms:

t_half = 17 / log base (1/2) of 0.3

Now, calculate t_half:

t_half = 17 / log base 2 of 0.3 ≈ 38.555

Now, we can find the time at which there will be 10 bacteria remaining (N(t) = 10):

10 = 500 * [tex](1/2)^{(t / 38.555)[/tex]

Divide both sides by 500:

[tex](1/2)^{(t / 38.555)[/tex] = 10 / 500

[tex](1/2)^{(t / 38.555)[/tex] = 0.02

Write the equation as an exponent:

t / 38.555 = log base (1/2) of 0.02

Using logarithms:

t = 38.555 * log base 2 of 0.02 ≈ 137.08

Rounding to the nearest whole number:

t ≈ 137

So, after approximately 137 minutes, there will be 10 bacteria remaining.

Learn more about half-life model here

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A picture frame measures 18 cm by 20 cm on the outside, and 168 cm?
of picture shows.
Find the width of the frame around the picture.
The width of the frame is
cm.

Answers

Answer:

hello

( 20 - 2 x ) ( 18 - 2 x )

= 360 - 40 x - 36 x + 4 x²

= 4 x² - 76 x + 360

Step-by-step explanation:

The following data points represent the number of children in each household in Cam's neighborhood.
0, 0,6,3,1,5, 0, 2,0
How many households in Cam's neighborhood have 0 children?
households

Answers

Answer:

4

Step-by-step explanation:

We can see that 9 households are represented in the data, 4 of them are zeros. This means 4 households in Cam's neighborhood have 0 children.

You want to know the average height of your three closest friends.
Should you survey the population or a sample?

Answers

Answer:

population

Step-by-step explanation:

135.99 rounded to two significant figures

Answers

Answer:

1.3×10^1

Step-by-step explanation:

For this, you need to use scientific notation

First, let's round up the decimal points

135.99 = ~ 136

1.3 ×.10^1

when a square's side is two units long,its perimiter is eight units

Answers

Answer:

Yes

Step-by-step explanation:

Because it has 4 sides and 4 x 2 = 8

​4sin45 degrees cos 15degrees=1+square root 3

Answers

[tex]\text{R.H.S}\\\\=4\sin 45^{\circ} \cos 15^{\circ} \\\\=4\sin 45^{\circ} \cos (45^{\circ}-30^{\circ})\\ \\=4 \sin 45^{\circ} \left(\cos 45^{\circ} \cos 30^{\circ} +\sin 45^{\circ} \sin 30^{\circ} \right)\\\\=4 \left(\sin 45^{\circ} \cos 45^{\circ} \cos 30^{\circ} +\sin^2 45^{\circ} \sin 30^{\circ} \right)\\[/tex]

[tex]=4\left[\dfrac 1{\sqrt 2} \cdot \dfrac 1{\sqrt 2} \cdot \dfrac{\sqrt 3}2 +\left( \dfrac 1{\sqrt 2} \right)^2 \cdot \dfrac 12 \right]\\ \\=4\left(\dfrac{\sqrt 3}4 +\dfrac 14\right)\\\\=4\cdot \dfrac 14 \left(1+\sqrt 3\right)\\\\=1+\sqrt 3\\\\=\text{L.H.S}[/tex]

Mike is buying a car for $24,300. He wants to make a maximum down payment of $3.000. TWo. deals are available, both for 48-month loans. In the first deal, with a factory rebate his down payment will be $1,000. His monthly loan payments would be $573 21 at 8.4% interest. In the second deal, he gets no rebate and makes a $3,000 down payment but his interest rate is 0.9% resulting in a $451.95 loan payment. a) What total amount will Mike pay with the first deal? b) What total amount will Mike pay with the second deal?

Answers

Answer:

1,000

Step-by-step explanation:

Which expressions are equivalent to 10/10^3/4?

Answers

[tex] \frac{10}{10 {}^{ \frac{3}{4} } } = 10 {}^{1 - \frac{3}{4} } = 10 { }^{ \frac{4 - 3}{4} } [/tex]

[tex]10 {}^{ \frac{ 1}{4} } [/tex]

Answer: B and D

Step-by-step explanation:

Edge 2023

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