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

HELP THIS IS TIMED !!!!

Answers

Answer:

55,300

Step-by-step explanation:

Every year it goes up 2,400

2,400x4=9,600

9,600+45,700=

55,300

PLEASE HELP ME I'LL MAKE UP BRAINLIST AND GIVE YOU 100 POINT!!

Answers

I think 55
And 121
I’m pretty sure that is the answer also but I’m not 100% sure

Answer:

55 pirates

121 pirates

Step-by-step explanation:

Every 11 pirates for one pirate ship.

5 * 11 = 55

Therefore, it would be 55 pirates

11 * 11 = 121

Therefore, it would be 121 pirates

what is the formula to calculate velocity?

Answers

Answer:

Velocity (v) is a vector quantity that measures displacement (or change in position, Δs) over the change in time (Δt), represented by the equation v = Δs/Δt. Speed (or rate, r) is a scalar quantity that measures the distance traveled (d) over the change in time (Δt), represented by the equation r = d/Δt.

here is a picture.

I hope this helps.

The answer above should be correct , I believe it is . But can you please mark me BRAINLEST?


14. Two sides of a parallelogram are in the ratio 5 : 3 and its perimeter is 48 cm. Find
the length of each of its sides.​

Answers

Answer :-

Given :-

Ratio of two Sides of Parallelogram ( Length and breadth) = 5 : 3

Perimeter of the parallelogram = 48cm

To Find :-

Length of each side of the parallelogram

Formula :-

Perimeter of the parallelogram = 2( length + breadth)

Solution :-

Let the length and breadth be 5x and 3x

2(5x + 3x) = 48cm

2(8x) = 48cm

x = 48/16

x = 3cm

Length = 5x = 5×3cm = 15cm

Breadth = 3x = 3×3cm = 9cm

We know that,

In parallelogram Opposite sides are equal

Hence, The sides of the Parallelogram are 15cm, 9cm, 15cm and 9cm

What is the measure?

Answers

62 degrees. they’re vertical to each other which means they are congruent

Let m=7 , r = 8, and t=2

Evaluate the expression. mr/t

Answers

Answer:

28

Step-by-step explanation:

7 times 8 /2

56/2

28

if that was what you were supposed to do,,

Answer:

mr/t=28

Step-by-step explanation: If m=7, r=8 and t=2, then the equation is 7(8)/2. 7*8=56 and then 56/2=28.

Help me please! I'm stuck and I need the answer now! Thx so much!

Answers

Answer:

34

Step-by-step explanation:

Given

z = -3 + 5i

Conjugate of z is:

z' = -3 - 5i

Product zz' is:

zz' = (-3 + 5i)(-3 - 5i) = (-3)² - (5i)² = 9 - 25(-1) = 9 + 25 = 34

If ,

[tex]\bold{z=-3+5i }[/tex]

so,conjugate of z

[tex]\overline{ z }[/tex]=[tex]\bold{-3-5i }[/tex]

Because, in argand plane [tex]\overline{ z }[/tex] is the reflection of z in x-axis.

so,

According to the question,

z[tex]\overline{z}[/tex]=(-3+5i)(-3-5i)

[tex]\bold{(-3)^2-(5i)^2 }[/tex]

[tex]\bold{9-25(-1) }[/tex]

[tex]\bold{ 9+25 }[/tex]

[tex]\bold{ 34 }[/tex]

Can someone please fill out this chart I will really appreciate it

Answers

Answer:

Step-by-step explanation:

Given: i. AB||DE

          ii. AC≅DC

Prove: ΔABC≅ΔDEC

From the two triangles, it can be observed that;

m<BAC≅m<EDC (alternate angles)

m<ABC≅m<DEC (alternate angles)

m<BCA≅m<ECD (vertically opposite angles)

m<BAC + m<ABC + m<BCA = m<EDC + m<DEC + m<ECD = [tex]180^{o}[/tex] (sum of angles in a triangle)

Since the three angles of the triangles are congruent respectively, then;

ΔABC≅ΔDEC (AAA congruence property)

In the diagram below, AB and BC are tangent to O. What is the measure of
AC?

Answers

Answer: D. 112°

Step-by-step explanation: Just answered it...

The measure of arc AC, if The line segment AB and BC are the tangents drawn to the circle, and The measure of angle CBA, ∠ CBA = 68°, is 112°, so option D is correct.

What is circle?

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

The line segment AB and BC are the tangents drawn to the circle,

The measure of angle CBA, ∠ CBA = 68°,

The measure of the major arc, AC = 248°,

Calculate the measure of the minor arc as shown below,

∠ CBA = Major arc - minor arc / 2   (Tangent circle theorem)

68 = 248 - AC / 2

68  × 2 = 248 - AC
136 = 248 - AC

AC = 248 - 136

AC = 112°

Thus, the measure of arc AC is 112°

To know more about circle:

https://brainly.com/question/266951

#SPJ2

What is the value of x?

Answers

(X + 5)(x + 4) = (x + 12)(x + 1)
x^2 + 9x + 20 = x^2 + 13x + 12
4x = 8
x = 2

x = 2


HELP PLS!! I need help for question 10, answers a, b, and c! (Everything is in the picture)

Answers

Answer:

A. The line on the left

B.not sure

C. 20 dollars

Step-by-step explanation:

Right answer gets brainlist.

Answers

Answer:

2309

Step-by-step explanation:

V=[tex]\pi r^{2} h[/tex]

plug in

V=2309.07

Heather made a shirt using 1/2 yards of green fabric & 1/3 yards of blue fabric. How many yards of fabric did she use in all ?

Answers

1/2 yards = 18 inches
1/3 yards = 12 inches
30 inches in total
30/36
simplify
5/6

what is the measure of the central angle that represents blue backpacks?

Answers

Answer:

Yes it is 10

Step-by-step explanation:

y = 2x+3
2x + 5y = 3
SOLVE using substitution please show work !

Answers

Answer:

x= -1

Step-by-step explanation:

2x + 5 (2x+3) =3
2x + 10x + 15 = 3
12x + 15=3
12x=-12
x=-1
y=1

can I plz have help on number 6

Answers

Answer: 5/8 miles

Step-by-step explanation:

1. Add the distance from home to school, and from school to post office (7/8+5/6 = 41/24)

2. Figure out how many miles the trip was in total, given that she can travel a mile in 18 minutes and the trip was 42 minutes, by dividing 42/18, which equals [tex]2\frac{1}{3}[/tex]. The trip was [tex]2\frac{1}{3}[/tex] miles long.

3. Now, given that she has already traveled 41/24 miles from her home to the post office, subtract 41/24 from [tex]2\frac{1}{3}[/tex]. This equals 5/8, meaning that she traveled 5/8 miles from Post office to her friend's home.

Maybe it will me 5/8 tell me if its right

Can you guys please help me fill this up plz

Answers

i got the same answer as above!! hope you have an awesome day! don’t forget to stay safe!!

PLS HELP ASAP, I'll give BRAINLIEST

Find the length of the longest side of the triangle whose vertices are D(4,1), E(9,6) and F(5, -4).

Answers

Answer:

the answer is approximately 8.2 units.

[tex]y/8=5[/tex]what is "y' in y/8=5

Answers

Answer:

Y=40

Step-by-step explanation:

Y/8=5

(Y/8)*(8)=(5)*(8)

Y=40

1V1 ME FOR A YOU TUBE VID NAME IS QT ZIHMIR YT

Answers

Answer:

OMG

Step-by-step explanation:

qt zihmir yt

Answer:

thanks for the points I maybe check your yt.

Step-by-step explanation:

HELLLLLLLLLLLLLLLLLLLLLLLLLLLP​

Answers

Answer:

C

Step-by-step explanation:

x axis is the horizontal line, so count positive 6, not negative, from there. Then go 3 upwards since its positive 3 :)

c if you follow the 6 along the line that has the x , and go up three you will land on C . (6,3) the first one is always x , the second is alway Y (X,Y) remover that the line honing across is x and the line going up and down is Y. they are usually labeled

0.03y=-0.01x+0.12
HALP
GRAPH PLEASE

Answers

I hope this helps :)

Mr. Lincon buys juice and water for the school picnic.A pack of 8 juice boxes costs 5 dollars. A pack of 6 water bottles costs 3 dollars. Mr Lincoln spends 95 dollars for 170 juice boxes and bottles of water

Answers

Is the question to figure out how many boxes of juice and water he’ll get?

Four friends own a carwash, the first total profit in the first month was 438 and two months each other friends had made a profit of 184 they always divide the profits eat equally how much profit did the car wash making the second month?

Answers

Answer:

298

Step-by-step explanation:

given data

total friend = 4

total profit in the first month = 438

two months each friend profit = 184

solution

we consider here total profit second month is = x

so

profit second month = 184 × 4 - 438

x = 736 - 438

x = 298

so that here profit that car wash making the second month is 298

PLEASE HELP ME PLEASEEEEEEEEEEE
A triangle is inscribed in a square, as shown. Write a simplified function r​ in terms of x​ that represents the area of the shaded region.

Answers

Answer:  0.5x^2

This is the same as (1/2)x^2 because 1/2 = 0.5

We could rewrite that into [tex]\frac{x^2}{2}[/tex]

=========================================================

Explanation:

The base of the white triangle (aka unshaded region) is x, while the height is also x

The area of the white triangle is

A = 0.5*base*height

A = 0.5*x*x

A = 0.5*x^2

The area of the entire square is x*x = x^2. Subtract off the area of the white triangle to get the area of the two blue shaded regions combined

shaded region = (square area) - (white triangle area)

shaded region = (x^2) - (0.5x^2)

shaded region = x^2 - 0.5x^2

shaded region = 1x^2 - 0.5x^2

shaded region = (1-0.5)x^2

shaded region = 0.5x^2

So the white triangle occupies half of the square, while the blue shaded region occupies the remaining 50% of the square.

Because 0.5 = 1/2, we can write this as (1/2)x^2, but I think using decimals in this case is easier.

Tatiana is buying b number of books and m number of magazines at the book fair. The books cost $4 each and the magazines cost $2 each. Tatiana's total purchase can be shown with this expression: 4b+2m. Which expression is equivalent to 4b + 2m?
A) 6bm
B) 2(2b+2m)
C) 2(2b+ m)
D) 6(b+m)

Answers

Answer:

d

Step-by-step explanation:

i don't understand. May you help?​

Answers

Answer:

Step-by-step explanation:

Function rule:

y = 10(0.95)ˣ

If a function is given as,

y = a(b)ˣ

a represents 'Initial value'

b represents the growth factor

If 0 < b < 1, function is a decay function.

If b > 1, function is a growth function.

For 2 = 10(0.95)ˣ,

Here, b = 0.95 which is in the interval of 0 < 0.95 < 1

So it's a decay function.

[tex]\frac{2}{10}=(0.95)^x[/tex]

log(0.2) = log[(0.95)ˣ]

log(0.2) = x[log(0.95)]

-0.6989 = -x(0.0223)

x = 31.44

x ≈ 31

Meaning → For 'x' = 31, value of the function is 2.

For 8 = 10(0.95)ˣ,

0.8 = (0.95)ˣ

log(0.8) = log(0.95ˣ)

log(0.8) = xlog(0.95)

x = 4.35 ≈ 4.4

Means, at x = 4.4, value of the function was 8.

A baboon pushes a 5.5 kg that is initially at rest. . What is the box's change in momentum between 0 ms and 40 ms?

Answers

I believe it is X to be the answer to the question

Answer:

0.80

Step-by-step explanation:

Work needs to be shown please someone help and don’t answer for your benefit with no intention to help

Answers

Answer:

[tex]\frac{x+3}{x+2}[/tex]

Step-by-step explanation:

[tex]\frac{x^2+10x+21}{x^2+9x+14}[/tex]           Factor the expressions that are not already factored.

=

[tex]\frac{(x+3)(x+7)}{(x+2)(x+7)}[/tex]           Cancel out x+7 in both numerator and denominator.

=

[tex]\frac{x+3}{x+2}[/tex]

Find the new amount given the original amount and the percent of change. $35,000; 7% decrease​

Answers

Answer:

7%=50

34950 7% decrease

35050 7% increase

Step-by-step explanation:

if 35000 is before the 7% decrease then it would be 34950

if after 35050

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