Solve the following equation:
5/6h+6/7h-9/14h=4

Will mark as brainliest.

Answers

Answer 1

Given:

The equation is

[tex]\dfrac{5}{6}h+\dfrac{6}{7}h-\dfrac{9}{14}h=4[/tex]

To find:

The solution of the given equation.

Solution:

We have,

[tex]\dfrac{5}{6}h+\dfrac{6}{7}h-\dfrac{9}{14}h=4[/tex]

It can be written as

[tex]\left(\dfrac{5}{6}+\dfrac{6}{7}-\dfrac{9}{14}\right)h=4[/tex]

[tex]\left(\dfrac{35+36-27}{42}\right)h=4[/tex]

[tex]\left(\dfrac{44}{42}\right)h=4[/tex]

[tex]\dfrac{22}{21}h=4[/tex]

Multiply both sides by 21.

[tex]22h=84[/tex]

Divide both sides by 22.

[tex]h=\dfrac{84}{22}[/tex]

[tex]h=\dfrac{42}{11}[/tex]

Therefore, the solution of the given equation is [tex]h=\dfrac{42}{11}[/tex].


Related Questions

Find the sum or difference:

(2w - 9) + (-4w - 5)

(6d + 5) - (2 - 3d)

(4 - 5y) - (2y - 16)

Answers

Answer:

-2w+-14

3d+3

-7y+-16

Step-by-step explanation:

Remove ()-     2w+-9+-4w+-5

2w+-4w = -2w

-9+-5 = -14

-2w+-14

Remove ()-    6d+5+-2+-3d

6d+-3d = 3d

5+-2 = 3

3d+3

Remove ()-   4+-5y+-2y+-16

-5y+-2y = -7y

4+-16 = -12

-7y+-12

find the greatest common factor of the number 12

Answers

Answer:

4 is the greatest common factor of 12

the greatest common factor of 12 is 4

If 5-x=3 then what is 3x^2

Answers

Answer:-

• Given:-

5 - x = 3

Solution:-

➪ 5 - x - 3 = 0

➪ 5 - 3 - x = 0

➪ 2 - x = 0

➪ 2 = x

Hence, x = 2

Now,

3x²

➪ 3 × (2)²

➪ 3 × 4

12

Therefore, 3x² will be = 12.

Plllllllllllllllllllllllzzzzzzzzzzzz help me out I’m confused 25 points

Answers

Answer:

0+2+-4=-2

Step-by-step explanation:

0+2-4=-2

Step by step explanation :
I believe this is right sorry if i’m wrong

Simplify these rational expression. x^4+5x^3-2x^2+1/x^2+1

Answers

Answer:

-5x+4

Remainder: x^2+5x-3

Step-by-step explanation:

I hope this is helpful

True or false: you flip the sign every time you multiply or divide when you're solving an
inequality.

Answers

False. You only flip when the number you are multiplying/dividing is negative.

30 points! Will mark brainliest. No random answer please.

Answers

Answer:

to determine whether the equation of the line parallel or perpendicular.we have to find there slope.

Step-by-step explanation:

2x+3y=15

3y=15-2x

y=15/3 -2x/3

y=5-2x/3

y=-2x/3 +5

so the cooficient tell us the slope of the line so it is -2/3

4x+6y=-48

6y=-48-4x

y=-4x/6 -48/6

y=-4x/6 -8

so the slope of this line is -4/6

now to say two lines are parallel there slope should be the same

-2/3 ≠ -4/6

to say two line are perpendicular with one another the product of there slope should be -1

-2/3 * -4/6

=8/18

=4/9 which is different from -1

they are neither parallel nor perpendicular.

PLS HELP MEEEEEE ( I don’t need to know the first one )

Answers

Answer:

k=27

Step-by-step explanation:

Answer:

direct variation is y = kx

k is the slope of the line y = mx + b

i don't know that last one, sorry

Step-by-step explanation:

PLEASE HELP ME FAST!!! Monica's bicycle wheel has a radius of 16 inches. Kevin's tricycle wheel has a radius of 8 inches. How many times larger is the circumference of Monica's wheel that the circumference of Kevin's tricycle wheel? Show your work

Answers

Answer:

50.2 inches

Step-by-step explanation:

The wheel of a tricycle is circular in shape.

The circumference of a circle = 2πr

For Monice

Monica's bicycle wheel has a radius of 16 inches.

The circumference of her bicycle wheel = 2 × π × 16

= 100.53096491 inches

Approximately = 100.5 inches

For Kevin

Kevin's tricycle wheel has a radius of 8 inches.

The circumference of his wheel =

2 × π × 8

= 50.265482457 inches

Approximately = 50.3 inches

How many times larger is the circumference of Monica's wheel that the circumference of Kevin's tricycle wheel?

This is calculated as:

Circumference of Monica's wheel - Circumference of Kevin's wheel

= 100.5 inches - 50.3 inches

= 50.2 inches

Hence: Monica's wheel is 50.2 inches larger than Kevin's wheel

Answer: All I know is I got a 1/2 points on my open ended question. Monica’s bicycle wheel is 2 times larger than Kevin’s.

Step-by-step explanation: I think you add or multiply or divide. I gotta figure it out myself.

Help Asap 15points pic below

Answers

Answer:

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

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ( with n > m )

= [tex]\frac{1}{a^{(n-m)} }[/tex]

Then

[tex]\frac{r^{2} }{r^{12} }[/tex]

= [tex]\frac{1}{r^{(12-2)} }[/tex]

= [tex]\frac{1}{r^{10} }[/tex]

Please Help Quick ASAP Hurry
Find the constant of variation for the relationship shown in the following table:

x 1 2 3 4
y 4 8 12 16

A. 1
B. 2
C. 3
D. 4

Answers

Answer:

vfca

Step-by-step explanation:

vaddavavthui sn fa

Solve 3^x + 6 = 3^4.

−2
4
6
10

Answers

Answer:

The answer is 4

Step-by-step explanation:

x

=

ln

(

75

)

ln

(

3

)

Decimal Form:

x

=

3.92994704

Answer: Take the logarithm of both sides of the equation to remove the variable from the exponent.

Exact Form:

x

=

ln

(

75

)

ln

(

3

)

Decimal Form:

x

=

3.92994704

Step-by-step explanation:

Bags of flour come in 3 sizes:

Small bag: A 500 g bag costs 90p.
Medium bag: A 2 kg bag costs £3.40.
Large bag: A 4 kg bag costs £7.60.

Calculate the cost of 2 kg for the small and large bags.
Give your answer in pounds to 2 dp.
Write the bag that is the better value in the comments.

Answers

Answer:

Ik where u got this q from but:

small bag is £3.60

large is $3.80

Step-by-step explanation:

the 500 grams x 4 to get 2kg then do 90p x 4

then

4kg divided by 2 to get 2kg as the question states, then do £7.60/2

hegarty maths anyone?

help pls!! i will give you brainliest

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

y is less than or equal to 2

Step-by-step explanation:

the shading area is under Y=2

please help!!!!

it’s due today and it’s worth 30% of my grade!!!!

Answers

Answer:

2nd one because that's the proportion a

Second option is a proportion

Micheal drove 936 miles in 13 hours at the same rate,how many miles would he drive in 9 hours

Answers

Answer:

The answer is 648 miles.

Step-by-step explanation:

936miles= 13 hours

? = 9 hours

936/ 13 = 72

72miles in 1 hour

72 x 9 = 648

648 miles in 9 hours

Which triangles are similar?

Answers

Answer:

A and c are similar except C is bigger than as so the scaling has gotten higher, so the answer is D

Step-by-step explanation:

please please please help​

Answers

Answer:

See below.

Step-by-step explanation:

Slope of parallel line is -3/2.

Slope of perpendicular line is 2/3

Answer

see below

step-by-step explanation
slope of parallel lines is -3/2.
Slope of Perpendicular line is 2/3.

Find the sale price of the item. Round to two decimal places if necessary.
Original price: $210.29
Markdown: 78%
The sale price is $

Answers

Answer:

$46.27

Step-by-step explanation:

210.29×.78=164.02

210.29-164.02=46.27

To the nearest unit, what is the perimeter of this pentagon?
27 units
29 units
30 units
34 units

Answers

I think it might be 27 no sure

Answer:

D(34)

Step-by-step explanation:

i did the math

draw a graph that models the relationship between time and Runners distance from the starting position use the data in the table to create the graph of the relationship be sure to include appropriate axis labels, intervals and units.​

Answers

Answer:

Where is the graph?

Step-by-step explanation: How does anyone answer without a graph lol

Which of the following is not a rational number?A)22 B) ⅓ C)―16 D) 0.343

Answers

Its 0.343 because it cannot be expressed as a fraction or whole number

can someone please please please help me asap?!

Answers

Answer:

-1.5

Step-by-step explanation:

Rise is 3, run is -2

I hope this helps..

PLEASE HELP
need to know cos(F), sin(F), and tan(F)
WILL GIVE BRAINLIEST

Answers

Answer:

Cos(F) = 5/13  

Sin(F) =  12/13

Tan(F) =  12/5

Step-by-step explanation:

Soh Sine: Opposite(12) over Hypotenuse(13)

Cah Cosine: Adjacent(5) over Hypotenuse(13)

Toa  Tangent: Opposite(12) over Adjacent(5)

~Hi ~ me ~ again ~ sorry ~ can ~ you ~ please ~ help ~ me ~ out ~ once ~ more?~

Answers

Answer:

b 19

Step-by-step explanation:

Answer:

the answer is 19, B.

Step-by-step explanation:

this is my first time answering a question. i hope this helps you.

17)
Let X = {x | x is a whole number less than 10}, Y = {yly is an even number}
What is XnY?
A)
{0, 2, 4, 6, 8}
B)
{1, 2, 3, 4, 5, 6, 7, 8, 9}
C){1,3,5,7,9)
D)
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

Answers

Answer:

answer of XnY where Y is an even no and X is a whole number less than 10 is

A {0,2,4,6,8}

Answer:

Step-by-step explanation:

Arianna buys computer games from an online store. Each game she orders costs $25, and shipping for her total order is $10. Arianna wants to spend $110. How many computer games can Arianna buy? Create an equation for the problem here.

Answers

Answer:

She can order 4 computer games.

Step-by-step explanation:

110-10=100

100÷25=4

help me yall like sis

Answers

Answer:

x= 10

Step-by-step explanation:

8x+30=110

8x+30-30=110-30

8x=80

8x/8=80/8

x=10

Answer:

x=10

Step-by-step explanation:

Vertical angles are always congruent, those to angles are vertical angles so they are congruent.

Set them equal to each other:

110=8x+30                 subtract 30 from both sides

80=8x                        divide by 8 on both sides

x=10

Hope this helps :)

Need a little help with this.

Answers

Answer:

a.) not like terms

b.) not like terms

c.) like terms ; 14 yards

Step-by-step explanation:

pls help me with this question i’ll be giving a brainliest to the person with the correct answer

Answers

Answer:

i believe it’s the second and third one, not too sure about the first

Step-by-step explanation:

Other Questions
Canals transport water from the rivers and lakes to __________ the farmland.A.containB.developC.irrigateD.convertPlease select the best answer from the choices providedABCD if you like riddles answer this whoever gets it right wins the brainliestDavid's father has three sons: Snap, Crackle, and _____?the answer is........ ill tell yall who got it right 2. 124 2. 1tell what theroem you used in each class The quotient of 37.2/6 is? Find the solution of these two equations. Y=1/5x-7 and y=-x-1 Please Help Quick ASAP Hurry Find the constant of variation for the relationship shown in the following table:x 1 2 3 4y 4 8 12 16A. 1 B. 2 C. 3D. 4 please help!!!! its due today and its worth 30% of my grade!!!! Does it take shorter or longer time to travel when the velocity is low? Precisely 1.00 s after the speeder passes, the police officer steps on the accelerator; if the police car's acceleration is 2.70 m/s2 , how much time passes after the police car is passed by a speeder and before the police car overtakes the speeder (assumed moving at constant speed) Example: The people of the small town met at city hall. A citizen recommended a new stop sign be installed on the busiest street in town. The Mayor asked the citizens in attendance to vote "yea" for yes and "nay" for no. A majority of the people said "yea" with only a few saying "nay." A new stop sign was installed the next week.This is an example of-A. Representative DemocracyB. Constitutional RepublicC. Direct DemocracyD. Unitary Republic eqoist, sbirsiz v biraz zm inamszam. Shvlr edirm, nzartsizm v bzn ilmk tindir. Ancaq mniml n pis vziyytd ily bilmirsns, chnnm kimi mn n yaxsn layiq grmdiyin min olursan. In which sentence do the subject and verb agree? *Nothing taste as good as my dad's five-alarm chili.Most of the group's music are playing on the radio.Several of those coats is on sale this week.Some of Meredith's poems make me laugh. here is a math question PLEASE HELP ME ILL GIVE BRAINLIEST ITS DUE SOON OMG Convert the following repeating decimal to a fraction in simplest form..6 Question 4If you have a cell that has a higher concentration of water inside the cell thanoutside the cell, which direction will the water move?1.Outside2.Neither (I already tried this one its incorrect)3.Inside Which equation represents the line that passes through the points (-3, 7) and (9,-1)? oy--3x+5 o y=-x-7 o y=zx-7 oy - 12 2x+5 Susan usually . (go) to school by bus, but now she .. (go) to school by train. 2. Mary often .. (read) in bed, but today she is very tired and she . (not / read). 3. The boys usually (ride) their bikes to school. They . (like / ride) their bikes. They (be) very naughty boys. They always (go) to school late. Today their teacher . (be) very angry, because they (be) late again. 4. Mary .. (like / eat) sweets. Every morning she . (have) coffee with a lot of sweets and chocolate. For lunch she and her friends often .. (eat) sweets or ice-cream. She (not / like / eat) fruit or vegetables. She (eat / never) eggs or cheese. Today she .. (be) sick. She (sleep) in her room now. Mary Beth could jump 42 times each minute. How many times could she jump in two hours explain to me step by step Which three types of transformations result in congruent shapes? Question 8 options: A) Reflection, rotation, translation B) Reflection, translation, dilation C) Reflection, dilation, rotation D) Rotation, dilation, translation