solve using suitable property -2/3 + 5/7 + -8/9 + 3/14

Answers

Answer 1

Answer:

[tex]\dfrac{-79}{126}[/tex]

Step-by-step explanation:

The given expression is :

[tex]\dfrac{-2}{3}+\dfrac{5}{7}+\dfrac{-8}{9}+\dfrac{3}{14}[/tex]

The LCM of 3,7,9 and 14 is 126

So,

[tex]\dfrac{-2}{3}+\dfrac{5}{7}+\dfrac{-8}{9}+\dfrac{3}{14}=\dfrac{42(-2)+18(5)+14(-8)+9(3)}{126}\\\\=\dfrac{-79}{126}[/tex]

So, the value of the given expression is equal to [tex]\dfrac{-79}{126}[/tex].


Related Questions

how to do this question plz answer ​

Answers

9.95^2 x 29.8 = 2,950.2745 and Yes the answer is sensible.

Ok my question says "destiny and carla had a total of 3 gallons of paint to share for a project they had 1 gallon each yellow blue and red paint destiny used 3/8 gallon of yellow paint 1/2 of blue paint 1/4 of red paint carla used 1/4 of yellow 3/8 of blue and 1/4 of red then part a ask how much more paint in gallons did destiny use than carly

Answers

Answer: 1/4

Step-by-step explanation:

Since Destiny used 3/8 gallon of yellow paint, 1/2 of blue paint and 1/4 of red paint, the total paint used will be:

= ⅜ + ½ + ¼

= 3/8 + 4/8 + 2/8

= 9/8

= 1 1/8

Carla used 1/4 of yellow, 3/8 of blue and 1/4 of red. The total paint used will be:

= 1/4 + 3/8 + 1/4

= 2/8 + 3/8 + 2/8

= 7/8

The numybe of paint that Destiny use more than Carla will be:

= 1 1/8 - 7/8

= 2/8

= 1/4

Destiny used 1/4 paint more than Carla

find the compound interest on $500 for 8 years. if the interest rate is 3%

A.123.39
B.133.39
C.143.39
D.153.39​

Answers

Pretty sure it’s b...


Y= -16x^2+181x+59 is the question

Answers

Answer:16x2 + 181x + 59

Step-by-step explanation:It cannot be factored

Answer:

Step-by-step explanation:

11.26 is the correct answer

⦁ Convert the vertex form of the equation you wrote above to standard form.

the vertex was ax+b(?)

Answers

Answer:

ax^2 + bx + c

Step-by-step explanation:

im pretty sure this answers your question

The standard form of the vertex form equation is y = 2x² - 12x + 17

How to convert the equation?

The vertex form of a quadratic equation is represented as:

y = a(x - h)² + k

Using the above form, the quadratic equation can be represented as:

y = 2(x - 3)² + 1

Expand

y = 2(x² - 6x + 9) - 1

Further expand

y = 2x² - 12x + 18 - 1

Evaluate the like terms

y = 2x² - 12x + 17

Hence, the standard form of the vertex form equation is y = 2x² - 12x + 17

Read more about vertex equation at:

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Help me with this problem ASAP

Answers

The answer is D. 4.

what's the area of this shape

Answers

Answer:

L x W x H

Step-by-step explanation:

if my calculations are correct the length is 2 the width is 3 and the height is 3

Therefore the answer is (2 x 3) = 6 x3

So the answer is 18.

Hope it helps, if it is incorrect than i am extremely sorry, wish you the best of luck and have a great day/midday/evening. BYYEEEEEEE

Which of the following is the graph of f(x) = 3x - 4[ + 1?

Answers

Answer:

The first answer choice I think

Step-by-step explanation:

to the right 4 units

up one

vertical compression by 3

A diamond ring increases in value at a rate of 5% per year. If the ring was purchased for $1200, which equation would calculate how much will it be worth in 30 years?

Would it be

A - y = 1200(1+.05)^30

B - y = 30(1+.05)^1200

C - y = .05(1+1200)^30

Answers

Answer:

A - y = 1200(1+.05)^30

Step-by-step explanation:

In this case, you need to calculate the future value and the formula to calculate that is:

FV=PV*(1+r)^n

FV=future value

PV=present value

r=rate

n=number of periods of time

The present value would be the price of the ring which is $1200. The rate is 5% per year and the number of periods of time is 30 years since you need to find the ring's worth in 30 years. Now, you can replace the values on the formula:

FV=1200*(1+0.05)^30

According to this, the answer is that the equation to calculate how much will it be worth in 30 years is: y = 1200(1+.05)^30.

7. The answer is letter A or letter D
Find the next two terms in the sequence.

40, 10, –20, –50, . . .

A.
60, 80

B.
–80, –110

C.
–70, –100

D.
–70, –90

Answers

Answer:

B.

–80, –110

Step-by-step explanation:

-80 and -110

It is an arithmetic sequence. The difference = -30. It is the difference between each number in the sequence: 10-40=-30

-50-30=-80

-80-30 =-110

-80

First Identify the sequence being made here.

10-40 = -30

-20-10 = -30

-50-(-20) = -30

Therefor this pattern is decreasing by a rate of 30 so to continue this, just subtract 30 from -50.

-50-30 = -80

The next term is -80.

Hope I helped!

It should be B because all of them subtract 30...

At the tasty bakery, cupcakes cost fifty cents each.Doughnuts cost a dollar twenty five.How much more do two doughnuts cost than two cupcakes?

Answers

Answer:

$1.50

Step-by-step explanation:

The computation is shown below:

Given that

The cost of each cupcakes be 0.50 cents

And, the cost of doughnuts be $25

So for two doughnuts the cost would be 2.50

And, for two cupcakes, the cost would be 0.50 × 2 = 1

So, the more amount would be

= 2.50 - 1

= $1.50

Hence, the same would be considered and relevant too

HELP MI PLSSS!!! I WILL GIVE POINTS AND BRAINEST!!!

Answers

Answer:

x≈5.3 feet

Step-by-step explanation:

[tex]\frac{4}{15} =\frac{x}{20}[/tex]

[tex]15x=80[/tex]

x≈5.3 feet

Answer:

5.3m tall

Step-by-step explanation:

15/4 = 3.75

20/3.75= 5.3333333

Please answer! I will mark you Brsinliest! The pictures are together.

Answers

Answer:

V = 65.97π

Step-by-step explanation:

Answer:

g00gle is a really great source for these questions!

Just put in the information and they do they work!

Step-by-step explanation:

66 inches cubed since you round up .03 decimals!

or 65.97 if you aren't supposed to round

The equation of the scatter plot trend line is y = -1700x + 32000 where y is the value of the car in dollars and x is the age of cars in years. Use the trend line equation to predict the value of a car after 7 years.

Answers

Answer:

20100

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Given equation

y = -1700x + 32000

Where x is the age of car and y is the value of the car.

Then value after 7 years can be calculated as follows,

y = -1700 (7) + 32000

y = -11900 + 32000

y = 20,100

So, the value of car after 7 years will be 20100.

pls help meeeeeeeeeeeeee

Answers

Answer:

the right answer is:

(A) [tex]2+\frac{1}{2}a[/tex]

Step-by-step explanation:

You take the equations that the exercise give you:

x + y = 4x - y = a

Now you clear the "y" variable in any equation you want, in this case, I'm gonna use the second equation:

x - y = a-y = a - x

   3. y =  x - a

And now, you'll replace this third equation in the equation you didn't take (the first in this case).

x + y = 4x + (x - a) = 4x + x - a = 4

Add the x variables:

2x - a = 42x = 4 + ax = (4 + a) / 2

That's the answer of the exercise, but you can represent this in this form:

x = (4 + a) / 2    ↔  [tex]x = \frac{4}{2} + \frac{1}{2} a[/tex]x = (4 + a) / 2    ↔  [tex]x = 2+ \frac{1}{2} a[/tex]

By this reason, the right answer is [tex]x = 2+ \frac{1}{2} a[/tex].



Team A is located on the south bank of a river. Teams B and C are located on the north bank. The angle formed from Team C to Team A is S 20o W. Team C is 45 feet due west of Team B and 25 feet from Team A. How far is Team A from Team B?

Answers

Answer:

Step-by-step explanation:

Given :

Using cosine rule :

c² = a² + b² - 2abCosC

c² = 45² + 25² - 2(45)(25) - cos70

c² = 2650 - 2250 * - 0.3420201

c² = 2650 + 769.54532

c² = 3419.5453

c = sqrt(3419.5453)

c = 58.476

c = 58.5 feets

Which is greater, -9/20 or -0.5?

Answers

Answer and Step-by-step explanation:

If we put [tex]-\frac{9}{20}[/tex] into decimal form, we get -0.45.

-0.45 is greater than -0.5, so,

[tex]-\frac{9}{20}[/tex] is greater than -0.5.

#teamtrees #PAW (Plant And Water)

CAN SOMEONE PLEASE HELP ME IM STUCK ON THIS QUESTION AND ITS ONLY QUESTION 1!!

Answers

Answer:

D) -1 < x < 4

please help !! :)))

Answers

hahahahahahahahahahahahhaahahgahaahgagahagahahah
C. Line segments that have the same length

I need help please !!!

Answers

Answer:

isosceles triangle

Step-by-step explanation:

the first one is isosceles triangle

f(x) = -x^(4)

Identify the function as a translation, compression, stretch, or reflection

Answers

Answer: don't know the answer but I hope this helps.

Step-by-step explanation:

Write an equation of the line, in point-slope form, that passes through the points (–7, 2) and (3, –2). Use (–7, 2) as the point (x1, y1)

Answers

Answer:

first use the equation m = y2 - y1 / x2- x1 to get the slope

m = -2 - 2 = -4

m = 3 + 7 = 10 when there is a negative for x1 it turns positive

the slope is -4/10 or -2/5

now plus the info into the point slope equation

y - y1 = m (x-x1)

this is in point slope form y - 2 = -2/5 (x + 7)

This is how to get it in y-intercept form

y -2 = -2/5x + -2.8

now add -2 on both sides to the -2.8

y = -2/5x (Slope)  + -0.8 y- intercept

Hopefully this is right becuase this is just what i learned

Step-by-step explanation:

(Will Give Brainliest)

Answers

Answer:

A. (-4, -4)

Step-by-step explanation:

According to the word problem, a dilation of (0.75x, 0.75y) is applied to a triangle.

This means the original coordinates were enlarged/multiplied by 0.75.

We can multiply the coordinates at the bottom by 0.75 to see if we get any of the resulting images' coordinates.

OR

We could divide the resulting images' coordinates by 0.75 to see if we get any of the answers on the bottom.

For instance,

(-3, -3)

-3 / 0.75 = -4 (x-coordinate)

-3 / 0.75 = -4 (y-coordinate)

This means (-4, -4) were the original coordinates of (-3, -3) before the dilation of 0.75.

What problems did Title IX address? Check all that apply.

lack of support for international students

limited opportunities for female athletes

limited resources in scientific courses of study

lack of scholarships and championships for women in sports

limited resources and facilities for women

Answers

Answer:

limited resources and facilities for women

lack of scholarships and championships for women

limited opportunities for female athletes

2,4,5

Statement two, four, and five are correct title IX law mandates institutions to obtain federal assistance to combat gender-based violence and harassment and respond to survivors' needs.

What is Title IX?

Title IX is a potent instrument for fighting campus violence because it is a federal (national) legislation. To ensure that all students have equal access to education, the law mandates institutions to obtain federal assistance to combat gender-based violence and harassment and respond to survivors' needs.

As per the Title IX law:

Limited opportunities for female athletes.Lack of scholarships and championships for women in sports.Limited resources and facilities for women.

Thus, statement two, four, and five are correct title IX law mandates institutions to obtain federal assistance to combat gender-based violence and harassment and respond to survivors' needs.

Learn more about the Titel IX law here:

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Mrs. Crawford is making sugar cookies. She had thirteen already made, and each batch can make eleven more cookies. How many batches does she need to make if she needs a total of 167 cookies?​

Answers

The answer should be 14
Longer Answer If she already has 13 then minus 13 in 167 cookies and you get 154 then 154÷11 = 14
I hope that makes sense and I hope it helps

A man travels 2 miles, turn left and travels 3 miles, turn left again and travel 6 miles. How far is he from the starting point?​

Answers

Answer: 5 miles

Step-by-step explanation:

this creates a polygon which can be shortened to be a triangle with side lengths 3 and 4 and the hypotenuse unknown. to find the side length you use the formula a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

sqrt(25) = c

c = 5

Find the surface area of the rectangular prism​

Answers

Answer:

430 cm squared

Step-by-step explanation:

SA= 2(Length x Base, Base x Height, Height x Length)

15cm x 5cm +

15cm x 7xm +

7cm x 15cm =

215cm

215cm x 2 = 430 cm squared.

(it's perimeter of a 3D object so it must be squared, then volume would be cubed)

I hope this helps <3

I need help with this question​

Answers

Answer:

I thinks its F because you cant factor it

Step-by-step explanation:

Answer:

F) The expression does not have a real factor

Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 6 cm and the height of the pyramid is 9 cm. To get the wax for the candle, Devin melts cubes of wax that are each 4 cm by 4 cm by 4 cm. How many of the wax cubes will Devin need in order to make the candle? Show your work.

Answers

The volume of the square pyramid is 6 x 6 x 9/3 = 108 cubic cm.

Volume of the cube = 4 x 4 x 4 = 64 cubic cm

Number of cubes needed: 108/64 = 1 11/16 cubes (1.6875)

Answer:

Solution given:

square pyramid

each side of base[b]=6cm

height[h]=9cm

Volume of square pyramid[V]=[tex] \frac{1}{3 } {b}^{2} h \\ \frac{1}{3} {6}^{2} \times 9 = 108cm ^{3} [/tex]

now

length of cube [l]=4cm

volume of cube[v]=l³=4³=64cm³

now

no of wax needed=[tex] \frac{V}{v} [/tex]=[tex] \frac{108cm³}{64cm³} [/tex]=[tex] \frac{27}{16 } =1\frac{11}{16} [/tex]

is needed.

can you please help? no links please. I have to pass this

Answers

Answer:

Step-by-step explanation:

10 times 10 times 60 = 6000

6000 - (1600 + 2000) = 2,400

Answer:

7200 [tex]in^3[/tex]

Step-by-step explanation:

volume of the bottom + volume of the middle part + volume of the top part (I'm sorry this is so vague T-T)

[tex](8*60*10)+(2*40*10)+(8*20*10)= 4800+800+1600=7200[/tex]

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