how do you redue 84 if possible

Answer:

y = x/3 + 10

Step-by-step explanation:

Let y be the number of minutes the flight takes

She can take off 10 minutes later than expected. She will be able to travel at  a speed three times than expected.

Let her expected speed be s, therefore, she can travel at 3s.

x = number of minutes the flight was expected to take.

In terms of distance and speed:

x = d / s ______(1)

where d = total distance traveled

The time for the flight (minus waiting time) is now the division of the distance she traveled and her speed, i.e.:

t = d / 3s

From (1):

=> t = x / 3

The time she spent waiting is 10 minutes.

Therefore, the total time that the flight takes (plus waiting time) is:

y = t + 10

=> y = x/3 + 10

Answer:

$959.69 per oz

Step-by-step explanation:

A gold alloy is produced from pure gold and alloy.

10 oz of pure gold costs $1,288 per ounce

55 oz of alloy costs $900 per ounce

The first step is to add the cost of both the pure gold and alloy together

= (10 oz × $1288)+(55 oz × $900)

= $12,880+$49,500

= $62,380

Therefore the cost per ounce can be calculated as follows

= $62,380/10 oz + 55 oz

= $62,380/65 oz

= $959.69 per oz.

Hence the cost per ounce of the gold alloy is $959.69 per ounce

The place value of 2 in 425.3 is tens of 20.

The value a digit in a number represents based on where it is in the number is known as place value. The place value of 7, for instance, is 700 or 7 hundred.

Given digit:

425.3

Write the number as shown below,

425.3 = 400 + 20 + 5 + 0.3

As you can see, the 2 is attached to the tens place,

Therefore, the place value of 2 in 425.3 is tens of 20.

To know more about place value:

https://brainly.com/question/1110759

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Answer:

$4.18 dollars per pound

Step-by-step explanation:

We can find the price in dollars per pound by dividing the cost by the number of pounds:

14.63/3.5 = 4.18

This means the price in dollars per pound is $4.18

Answer:

10 and 11

Step-by-step explanation:

[tex]1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2, 8^2, 9^2, 10^2, 11^2\\1, 4, 9, 16, 25, 36,49,64,81,100,121[/tex]

The [tex]\sqrt{119}[/tex] lies between whole number 10 and 11 since it lies between 100-121 which square rooted, is 10 and 11.

Answer:

Between 10 and 11

Step-by-step explanation:

10 squared (10 x 10) is 100 and 11 squared (11 x 11) is 121, the number 119 is between 100 and 121, therefore, the the square root of 119 lies between 10 and 11.

Answer:

You have to multiply all the sides by 4.

B to C = 2.8*4

2.8 * 4 = 11.2

B to A = 3*4

3*4 = 12

A to C = 2.2*4

2.2*4 = 8.8

Hope this helped!

Answer:

Number common to both sides=6

Step-by-step explanation:

Average of first four numbers=5

4*5=20

Average of the last four numbers=8

4*8=32

Average of all seven numbers=6 4/7

7*6 4/7

Find the number common to both sets of four numbers

Solution

4*5=20

4*8=32

32+20=52

7 * 6 4/7

=7*46/7

=46

Number common to both sides=52-46

=6

Answer:

Option A and C

Step-by-step explanation:

An isosceles triangle have:

=> Two equal angles

=> Two sides with the same length

Answer:

A & C

Step-by-step explanation:

The triangle is an isosceles triangle. The two base angles are equal. Two sides of the triangle are same in length. All the angles in the triangle shown are less than 90 degrees.

Answer:

Step-by-step explanation:

7( r - 2 ) - 9(r - 1) = 3 ( 5 - r ) + ( r - 8 )

Distribute 7 through the parentheses

7r - 14 - 9(r - 1 ) = 3( 5 - r ) + ( r - 8)

Distribute -9 though the parantheses

7r - 14 - 9r + 9 = 3(5 - r ) + ( r - 8)

Distribute 3 through the parantheses

7r - 14 - 9r + 9 = 15 - 3r + r - 8

When there is (+) in front of an expression in parentheses, the expression remains the same

7r - 14 - 9r + 9 = 15 - 3r + r - 8

Collect like terms

7r - 9r - 14 + 9 = 15 - 3r + r - 8

-2r - 14 + 9 = 15 - 3r + r - 8

Calculate

-2r- 5 = 15 - 3r + r - 8

Subtract the number

-2r - 5 = 7 - 3r + r

Collect like terms

-2r - 5 = 7 - 2r

Cancel equal terms on both sides of the equation

- 5 = 7

The statement is False for any value of X.

Hence, there is no solution.

Hope this helps...

Good luck on your assignment...

Answer:

7 cm

Step-by-step explanation:

The area of a right triangle is given by

A = 1/2 bh

21 = 1/2 y* 6

21 = 3y

Divide each side by 3

21/3 = 3y/3

7 = y

The base is 7 cm

Area formula: A = bh/2

We have a height of 6, a base of y, and a area of 21.

Fill in and solve:

21 = y * 6 / 2

21 = 6y/2

21 = 3y

7 = y

Therefore, the base is 7

Best of Luck!

Answer:

see below

Step-by-step explanation:

f(x) = 5x^3 +1, g(x) = – 2x^2, and h(x) = - 4x^2 – 2x +5

f(-8) = 5(-8)^3 +1 = 5 *(-512) +1 =-2560+1 =-2559

g( -6) = -2 ( -6) ^2 = -2 ( 36) = -72

h(9) = -4( 9)^2 -2(9) +5 = -4 ( 81) -18+5 = -324-18+5=-337

I believe the answer is B

Answer:

3x+4

Step-by-step explanation:

The perimeter is given by

P = 2 ( l+w)

We know the perimeter is  8x+8

8x+8 = 2 ( l+w)

Divide each side by 2

4x+4 = l+w

The width is x

4x+4 = l+x

Subtract x from each side

4x+4-x = l+x-x

3x+4 = l

The length is 3x+4

Answer:

x+5

Step-by-step explanation:

so first you would divide by x (which means you would multiply x+2 by -x)

x^2 + 7x + 10

-x^2 - 2x

5x + 10

then you would divide by 5 (which means you would multiply x+2 by -5)

5x + 10

5x +10

0

So then to check it you would multiply x+5 by x+2

(x+5)(x+2)

x^2 + 2x + 5x + 10

then simplify to get

x^2 + 7x + 10

Answer: 2, 4, 6, 8, 10

Step-by-step explanation:

Answer:

First picture: 1st choice, -7

Second Picture: Second Choice, f(5)=9

Third Picture: Second Choice, the volume of the basketball when the radius is r

Answer:

it looks like the question is not complete but anything in a bracket like(-3) since tjere is no number in front of it or anything to divide it if the number is alone there is no need for the bracket

Answer:

A

Step-by-step explanation:

Answer:

290 m³

Step-by-step explanation:

Volume of the composite figure can be calculated by using the formula for volume of a rectangular prism to calculate, separately, the volume of the top prism, then volume of the prism beneath, before summing both volumes together.

Volume of rectangular prism = width (w) × height (h) × length (l)

==>The prism on top has:

l = 3m

w = 8-3 = 5m

h = 6m

Volume (V1) = 3*5*6 = 90m³

==>The prism beneath has:

l = 8m

w = 5m

h = 5m

Volume (V2) = 8*5*5 = 200m³

Volume of the composite figure = V1 + V2 = 90+200 = 290 m³

Answer:

The answer is option A.

∆BDC is a right angled triangle

Angles in a triangle add up to 180°

That's

z + 35 + 90 = 180°

z = 180 - 35 - 90

z = 55°

Alternate angles are equal

Angle DBC = Angle BDA

That's

35 = 7y

Divide both sides by 7

y = 5

y = 5 z = 55

Hope this helps you

Answer:

ABC and DEF

Step-by-step explanation:

they are the only planes that can be parallel

Answer:

65°

Step-by-step explanation:

The missing angle is x°

tan x° = [tex]\frac{opposite }{adjacent}[/tex]

tan x° = [tex]\frac{850}{400\\}[/tex]

tan x° = 2.125

Using a calculator insert

tan^(-1)(2.125) ≈ 65°  (after rouding the the nearest unit)

Answer:

£58,800

Step-by-step explanation:

The answer can be calculated using

FV=p(1+r/n)^nt

P=£50,000

r=2%=0.02

n=12

t=2009 to 2017=8 years

FV=p(1+r/n)^nt

=50,000(1+0.02/12)^12*8

=50,000(1+0.0017)^96

=50,000(1.0017)^96

=50,000(1.1771)

=58,855

FV=58,855

To the nearest £100=£58,800

Answer:

the answer is a polynomial 10x + 2

Step-by-step explanation:

Length = 3x + 2

Width = 2x - 1

Perimeter = 2l + 2w

P = 2(3x+2) + 2(2x-1)

P = 6x+4+4x-2

P= 10x+2

A polynomial is an expression consisting of variables. They can have one or more terms.

Answer:

10x + 2; the answer is a polynomial

Step-by-step explanation:

Answer:

Step-by-step explanation:

The volume for a sphere is

[tex]V=\frac{4}{3}\pi r^3[/tex]. Our radius is 21 inches, so

[tex]V=\frac{4}{3}\pi (21)^3[/tex] and

[tex]V=\frac{4}{3}\pi (9261)[/tex]. Multiplying straight across the top, using the fact that 3.14 is pi:

[tex]V=\frac{116318.16}{3}[/tex] and divide to get that

V = 38772.72 in^3

Answer: x>1/6

Step-by-step explanation:

For this problem, you solve it as if it had an equal sign.

-2(8x-4)<2x+5                        [distribute -2]

-16x+8<2x+5                           [combine like terms by adding and subtracting on both sides]

3<18x                                      [divide both sides by 18]

x>1/6

Answer:

4/6 or 66%

Step-by-step explanation:

Odd numbers from 1 to  6 are: 1, 3, 5

Numbers less than 4 are: 1, 2, 3

So there are  4/ 6 possible outcomes.

So the probability is 4/6 or 66%.

Answer:

1 team = 10 players

7 teams = 7×10 players

= 70 players

drop out players:

1 team = 2 players

7 teams = 2×7

= 14 players

how many left ?

= total players - drop out players

= 70 - 14

= 56 players

Step-by-step explanation:

2.(a) uniform speed = distance/ time

= ( 9×16) / 9

= 16 m/s

(b) 19-10 = 9s

(c) 16×9 = 144m

(d) rate of change of speed

= (v-u)/ t

= ( 7-16)/ 6

= -3/2 m/s²

3.(a) uniform speed = distance/ time

= ( 12×20 ) / 12

= 20 m/s

(b) 22-10 = 12s

(c) (12×20) + 1/2(20+60)(18)

= 240+720

= 960m

(d) acceleration

= (v-u)/ t

= ( 60-20 ) / 18

= 20/9 m/² or 2.22 m/s²

Answer:

√3 * 5 = 5√3 cm

Step-by-step explanation:

→ ABCDEFGH is a cube.

→ CF = Diagonal of cube.

→ CH = Diagonal of Base Face BCDH.

→ Let the side of Each cube = a.

Than,

in Right ∆CFH, By Pythagoras Theoram, we have,

→ CH² + FH² = CF² --------- Equation (1)

and, Similarly, in Right ∆CDH ,

→ CD² + DH² = CH² ------- Equation (2).

Putting Value of Equation (2) in Equation (1), we get,

→ (CD² + DH²) + FH² = CF²

→ a² + a² + a² = CF²

→ CF² = 3a²

→ CF = √3a .

Hence, we can say That Diagonal of a cube is √3 times of its sides.

__________________

Given:-

Side of cube = 5cm.

So,

→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)