Adding the fractions

3/14+2/21+1/6

Answers

Answer 1

Answer:

[tex]\frac{10}{21}[/tex]

Step-by-step explanation:

The LCM of 14, 21 and 6 is 42

We require to change the fractions to fractions with a denominator of 42

[tex]\frac{3(3)}{14(3)}[/tex] + [tex]\frac{2(2)}{21(2)}[/tex] + [tex]\frac{1(7)}{6(7)}[/tex]

= [tex]\frac{9}{42}[/tex] + [tex]\frac{4}{42}[/tex] + [tex]\frac{7}{42}[/tex] ← add the numerators, leaving the denominator

= [tex]\frac{9+4+7}{42}[/tex]

= [tex]\frac{20}{42}[/tex] ← divide both values by 2

= [tex]\frac{10}{21}[/tex] ← in simplest form


Related Questions

An airplane landed at a point 100 km east and 420 km south from where it took off. If the airplane flew in a straight line from where it took off to where it lands, how many kilometers did it fly? Enter only the number rounded to the nearest kilometer.

Answers

Answer:

[tex]\sqrt{100^2 + 420^2}[/tex]

[tex]\sqrt{100^2+420^2}=20\sqrt{466}\quad \left(\mathrm{Decimal:\quad }\:431.74066\dots \right)[/tex]

Step-by-step explanation:

Which of the following equations is the translation 2 units down of the graph of y = Ixl?
y= - 21
y = 1x + 21
y = Ixl - 2
y = x + 2

Answers

Answer:

Answer:

The answer is: y = |x| - 2

Can some one help me on this math question its confusing ill give brainly when right!!!

Answers

Answer:

s - t = 10 - -7 = 17

Step-by-step explanation:

I only see

s - t

nothing else is there to evaluate (or calculate).

s - t = 10 - -7 = 17 (as a double "-" always turns into a "+").

you really needed help with that ?

Answer:

= s-t

= 10 - (-7)

= 10 + 7

= 17

✌✌✌✌

HElp Please its Pre-Calculus Matrix

Answers

The determinant is C. -541.

Using a cofactor expansion along the first row:

[tex]\begin{vmatrix}-8&-4&-1\\1&7&-3\\8&9&9\end{vmatrix} = -8\begin{vmatrix}7&-3\\9&9\end{vmatrix} + 4\begin{vmatrix}1&-3\\8&9\end{vmatrix} - \begin{vmatrix}1&7\\8&9\end{vmatrix} \\\\= -8(7\times9-(-3)\times9) + 4(1\times9-(-3)\times8) - (1\times9-7\times8) \\\\ = -8(63+27) + 4(9+24) - (9-56)\\\\= \boxed{-541}[/tex]

Find the perimeter of the figure.
31 cm
18 cm
25 cm
Drawing not to scale
C.
b. 80 cm
68 cm
d.
87 cm
a.
74 cm
I need help!

Answers

41:-

Its a triangle

[tex]\\ \sf\longmapsto Perimeter=31+18+25[/tex]

[tex]\\ \sf\longmapsto Perimeter=48+25[/tex]

[tex]\\ \sf\longmapsto Perimeter=73cm[/tex]

42:-

Its rectangle

[tex]\\ \sf\longmapsto Perimeter=2(L+B)[/tex]

[tex]\\ \sf\longmapsto Perimeter=2(15+10)[/tex]

[tex]\\ \sf\longmapsto Perimeter=2(25)[/tex]

[tex]\\ \sf\longmapsto Perimeter=50ft[/tex]

Answer:

a and c

Step-by-step explanation:

The perimeter is the sum of the 3 sides, that is

perimeter = 25 + 18 + 31 = 74 cm → a

-------------------------------------------------------------------

The opposite sides of a rectangle are equal, so

perimeter = (2 × 10) + (2× 15) = 20 + 30 = 50 ft → c

Pls help ASAP will give brainliest

Answers

Answer:

hope it help you.........

Answer:

[tex]\boxed {\boxed {\sf y= -1.2 }}[/tex]

Step-by-step explanation:

We are asked to solve the following equation for y.

[tex]-2y-4.2= 1.8 + 3y[/tex]

To solve for y, we have to isolate the variable by performing the inverse operations.  First, move all the terms without a variable or the constants to one side, and the terms with a variable to the other side.

4.2 is being subtracted and the inverse operation of subtraction is addition. Add 4.2 to both sides.

[tex]-2y-4.2 +4.2= 1.8 + 3y+ 4.2[/tex]

[tex]-2y=1.8 + 4.2 + 3y[/tex]

[tex]-2y= 6 + 3y[/tex]

3y is being added and the inverse operation of addition is subtraction. Subtract 3y from both sides.

[tex]-2y-3y= 6+ 3y -3y[/tex]

[tex]-2y-3y= 6[/tex]

[tex]-5y=6[/tex]

y is being multiplied by -5. The inverse operation of multiplication is division. Divide both sides by -5.

[tex]\frac {-5y}{-5}= \frac{6}{-5}[/tex]

[tex]y=- 1.2[/tex]

Check the answer by substituting -1.2 back into the original equation.

[tex]-2 (-1.2)-4.2 = 1.8 + 3(-1.2)[/tex]

[tex]2.4-4.2=1.8 + - 3.6[/tex]

[tex]-1.8 = -1.8[/tex]

This checks out, so we know our answer is correct.

6. Alex and Brian park their bikes side-by-side. Alex leaves to visit friends, and Brian leaves 30 minutes later,
headed for the same destination. Alex pedals 5 miles per hour slower than Brian. After 1 hour, Brian passes Alex. At
what speed are they each pedaling?

Answers

Answer:

See below.

Step-by-step explanation:

When Brian passes Alex they both have travelled the same distance.

Call this distance d.

Let the speed that Brian passes = x miles/hour.

Distance = speed * time  so:

For Alex:

d = (x - 5) * 1.5        ( Alex cycles for 1 + 30 minutes =  1.5 hours)

For Brian:

d = x * 1

So substituting d = x in Alex's equation:

x = 1.5(x - 5)

x = 1.5x - 7.5

7.5 = 0.5x

7/5 / 0.5 = x

15 = x.

ANSWER:

Brian's speed is 15 miles/hour.

Alex's speed is 15 - 5 = 10 miles/hour.

find the sum or difference of 24-16

Answers

Answer:

24+16= 40

24-16=8 if it's wrong, try and make ur question more specific, thanks

Answer:

8 or 40

Step-by-step explanation:

24-16=8

24+16=40

Jim is swimming part of a lap around his 100-foot diameter pool. If he swims around the outside edge, how far does he swim if he travels a 60° arc, rounded to the nearest foot? Use 3.14 for pi.

Answers

answer:

have any notes for reference?

Step-by-step explanation:

Sz – [32 – (10z + 2)]​

Answers

Sz-[32-(10z+2)]
=Sz-(32-10z-2)
=Sz-(30-10z)
=Sz-30+10z

Hope my answer helped u :)

Please help me to solve this question ​

Answers

Answer:

x = 64°, y = 32°

Step-by-step explanation:

The sum of the angles on a straight line = 180° , then angles on PS are

2x + y + 20 = 180 ( subtract 20 from both sides )

2x + y = 160 → (1)

Angles on QT are

x + 3y + 20 = 180 ( subtract 20 from both sides )

x + 3y = 160 → (2)

Solve (1) and (2) simultaneously

Rearrange (1) expressing y in terms of x by subtracting 2x from both sides

y = 160 - 2x → (3)

Substitute y = 160 - 2x into (2)

x + 3(160 - 2x) = 160 ← distribute and simplify left side

x + 480 - 6x = 160

- 5x + 480 = 160 ( subtract 480 from both sides )

- 5x = - 320 ( divide both sides by - 5 )

x = 64

Substitute x = 64 into (3)

y = 160 - 2(64) = 160 - 128 = 32

Then

x = 64°, y = 32°

what is the graph of the following function??
PLEASE HELP!!

Answers

Answer:

umm it's a piecewise function and I think the graph is correct I don't really understand what you mean by what is the "graph" of the following function since the graph is already there...

Step-by-step explanation:

find x giving your answer to 1 decimal place

Answers

Step-by-step explanation:

[tex] \frac{ \sin(81) }{x} = \frac{ \sin(40) }{7} \\ x \times \sin(40) = 7 \times \sin(81) \\ x = \frac{7 \times \sin(81) }{ \sin(40) } = 10.75 = 10.8 \: cm[/tex]

Answer:

x is 10.8 cm

Step-by-step explanation:

from Lami's theorem:

[tex] \frac{7}{ \sin(40 \degree) } = \frac{x}{ \sin(81 \degree) } \\ \\ x = \frac{7 \sin(81 \degree) }{ \sin(40 \degree) } \\ \\ x = 10.8 \: cm[/tex]

I need help !!!PLEASE

Answers

Answer:

answer

volume= 252 yd^3 .

Once upon a time there was a farmer whose family raised pigs and chickens. If you counted 24 heads and 80 feet, how many chickens were there? How many pigs were there?

Answers

Answer:

Number of chickens = 8

Number of pigs = 16

Step-by-step explanation:

Let the pigs = p

Let the number of chickens = c

Number of heads = 24

p + c = 24 ----------------(I)

p= 24 - c

Number of feet = 80

Chicken has 2 legs and pig has 4 legs

4p + 2c = 80 --------------(II)

Substitute p = 24 - c in equation (II)

4*(24 - c) + 2c = 80

4*24 - 4*c + 2c = 80

96 - 4c + 2c = 80          {Combine like terms}

     96 - 2c = 80        {subtract 96 from both sides}

          -2c = 80 - 96

         -2c = -16          {Divide both sides by (-2)}

           c = -16/-2

          c = 8

Plugin c = 8 in equation (I)

p + 8 = 24

    p = 24 - 8

  p = 16

Warren is on vacation and needs to arrange transportation. A rental car costs 40 dollars per day plus a one-time cost of 14 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days. C(x)=________.
If Warren has budgeted 254 dollars for the rental, how many days can he afford?

Answers

Answer:

C(x)=40x+14, 6 days

Step-by-step explanation:

C(x)= payment per day*x + initial payment. the payment per day is $40 while the initial payment is $14. so C(x)=40x+14.

C(x)=254=40x+14, 40x=240, x=6

What is the distance between (1, 9) and (1, -4)? Use the distance formula.

D=(x2-x1)2+(y2-y1)2

Answers

Answer:

D. 13

Step-by-step explanation:

You just have to plug in numbers then solve.

(1,9) and (1,-4). Every coordinate is placed as (x,y)

(1,9) is labeled as (x1, y1)

(1,-4) is labeled as (x2,y2)

Now plug in the numbers.

d= Square root of (1-1)^2 + (-4-9)^2

d= Square root of 1^2 +-13^2

d= Square root of 1+169

d= Square root of 170

d= 13.04

Rounded to a whole number, the answer is 13

Answer:

D

Step-by-step explanation:

you have to substitute the values in the distance formula,in this case x2 is 1,x1 is 1,y2 is -4 and y1 is 9

d=√(x2-x1)²+(y2-y1)²

=√(1-1)²+(-4-9)²

=√(0)²+(-13)²

=√169

=13

I hope this helps

A rectangle field is 10m longer than its width. If the perimeter is 300cm, find;
i) Its width
ii) the area if the rectangular field ​

Answers

Answer:

w = 70 cm

A = 5600cm^2

Step-by-step explanation:

P = 2(l+w) where l is the length and w is the width

300 = 2(l+w)

We know the length is 10 longer than the width

l = w+10

300 = 2(w+10+w)

Divide each side by 2

300/2 = (w+10+w)

150 = (2w+10)

Subtract 10 from each side

150-10 = 2w

140 = 2w

Divide by 2

140/2 = w

70 = w

Now find the area

A = l*w

A = (w+10) * w

   = (70+10) *70

   = 80*70

5600

Simplify each numerical expression.
1) 6 + 2 x 8 - 12 + 9 - 3

Answers

Answer:

16

Step-by-step explanation:

using BODMAS rule

6 + 16 - 12 + 9 - 3............step 1

22 - 3 - 3....…...................step 2

16

find the following ratios right triangle. PLS HURRY and disregard my answers.

Answers

Answer:

sinA= 5/13; cosB= 5/13

Step-by-step explanation:

sine is opposite over hypotenuse so 5/13. cosine is adjacent over hypotenuse so 5/13

Use the discriminant to determine the number of real solutions to the equation,
10n^2 = 10 - 8n

Answers

Answer:

2 real solutions

Step-by-step explanation:

Get all the terms to one side

10n^2 = 10 - 8n

10n^2 +8n -10 =0

ax^2 +bx+c =0

The discriminant is

b^2 -4ac

8^2 - 4(10)(-10)

64 +400

464

If the discriminant is greater than 0 we have 2 real solutions

Help ASAP I’ll mark you as brainlister

Answers

Answer: Try 2. This is my best guess

Find the coordinates of U' after a reflection across parallel lines; first across the line x=-2 and then across the line x=-1 write your answer in form (a,b)

Answers

Answer:

U in the line x=-2: (-4,0)

U in the line x=-1: (-2-0)

Step-by-step explanation:

...............

Please help please with geometry

Answers

Answer:

33

Step-by-step explanation:

HJ = HI + IJ

HJ = 3x - 9, HI = x and IJ = x + 5

So 3x - 9 = x + x + 5

Solve for x

Combine like terms

3x - 9 = 2x + 5

Add 9 to both sides

3x = 2x + 14

Subtract 2x from both sides

x = 14

Find HJ

HJ = 3x - 9

We have found that x = 14

HJ = 3(14) - 9

Multiply 3 and 14

HJ = 42 - 9

Subtract

HJ = 33

Find the common ratio for the geometric sequence

Answers

Answer:

1/4

Step-by-step explanation:

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!! Determine the Value of K in the diagram ( secant lines to circles).

Answers

Answer:

6

Step-by-step explanation:

5

Answer:

k = 10

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

2x(2x + kx) = 3x(3x + 5x)

4x² + 2kx² = 3x × 8x = 24x² ( subtract 4x² from both sides )

2kx² = 20x² ( divide both sides by 2x² )

k = 10

What is the sale price of this bed after the discount has been taken off the standard price?

Answers

Answer:

585 is the answer of your question.

Step-by-step explanation:

because formula is

Mp _ d% of mp

What is the quotient of 8.8 x 107 and 8.0 x
102 expressed in scientific notation?

Answers

Answer:

88,000,000 and 800

Step-by-step explanation:

Answer:1.1×105

Step-by-step explanation:

2. What is the sum of iº + kº?

Answers

320° it’s because a full circle is 360° so take away 40° from that and you get the sum of both i°+k°

Correct answer gets 5 star

Answers

Answer:

A. The function is Nonlinear.

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