Simplify [tex]\frac{9x^2 - 3x}{6x - 45x^2}[/tex]

Answer:

2.35 hrs

If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm

Step-by-step explanation:

distance traveled = 94 miles

cruise speed = 40 mph

time taken = ?

time taken = distance/speed = 94/40 = 2.35 hours

2.35 hrs = 2 hrs + (0.35 x 60) = 2 hrs + 21 min

If she merged the highway at 1 pm, then she'll leave the highway by 3:21 pm

Answer:

42 units

Step-by-step explanation:

If R is the midpoint of QS, then by definition, QR = RS. Since QR = 8x - 51 and RS = 3x - 6, set these equal to solve for x:

QR = RS

8x - 51 = 3x - 6

5x = 45

x = 9

Now that we know x = 9, we can plug this back into one of the expressions for QR or RS to find its length:

QR = 8x - 51 = 8 * 9 - 51 = 72 - 51 = 21

Since half of QS is 21, then the whole of QS is twice that:

2 * 21 = 42

The answer is thus 42 units.

~ an aesthetics lover

Answer:

36

Step-by-step explanation:

(x + 6)(x+6)

F.O.I.L.

x^2 +6x + 6x + 36

X^2 + 12x + 36

Answer:

36

Step-by-step explanation:

● x^2 + 12x

● 1 × x^2 + 2 × 1 × 6 × x

Notice that the third term is 6

So we will add 36 (6^2)

● x^2 + 12x + 36

● (x+6)^2

Answer:

It's of science not of mathematics

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{10 \: N}}}}}[/tex]

Step-by-step explanation:

Given,

Load distance ( LD ) = 2m

Load ( L ) = 800 N

Effort distance ( ED ) = 160 m

Effort ( E ) = ?

Finding the Effort applied

Apply the principal of simple machine :

[tex] \boxed{ \sf{L \times LD = E\times ED}}[/tex]

[tex] \longrightarrow{ \sf{800 \times 2 = E \times 160}}[/tex]

[tex] \longrightarrow{ \sf{1600 = 160 \: E}}[/tex]

[tex] \longrightarrow{ \sf{160E = 1600}}[/tex]

[tex] \longrightarrow{ \sf{ \frac{160E}{160} = \frac{1600}{160} }}[/tex]

[tex] \longrightarrow{ \sf{E = 10 \: \: newton}}[/tex]

Effort applied = 10 N

Hope I helped!

Best regards! :D

Answer:

37

Step-by-step explanation:

Answer:

83.92 - 47.23 = 36.69 to round to the nearest whole it would be 37

Step-by-step explanation:

83.92

- 47.23

= 36.69 and if its five or more you round up so its 37

Answer:

angle FG=EU

angle EU=FG

FG:EU

FE=GU

Answer:

150.85inches

Step-by-step explanation:

TSA of cone= πr(r+l)

= 22/7×4(4+8)

= 150.85inches

yeah no problem wish I cudve helped u

Answer:

Hey there!

V=lwh/3

315=lwh

315=15(7)w

315=105w

width=3

Hope this helps :)

The width of the rectangular base of the pyramid is W = 3 centimeters

The volume of a pyramid, is the product of the area of its base with the height of the pyramid, and divide by 3. We express this product with the formula V = ( 1/3) ×B×h, where B is the area of the base of the pyramid, and h is its height.

Volume of Pyramid = ( 1/3 )a²H

Given data ,

Let the volume of the pyramid be represented as V

Now , the value of V is

V = 105 cm³

And , the length of the pyramid L = 7 cm

The height of the pyramid is H = 15 cm

Let the width of the pyramid be W

And , Volume of Pyramid = ( 1/3 ) ( L x W x H )

105 = ( 1/3 ) ( W x 15 x 7 )

On simplifying , we get

105 ( W ) ( 1/3 ) = 105

Divide by 105 on both sides , we get

W / 3 = 1

Multiply by 3 on both sides , we get

W = 3 cm

Therefore , the value of W is 3 cm

Hence , the width of pyramid is 3 cm

To learn more about volume of pyramid click :

https://brainly.com/question/17615619

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Answer:

The distance Maria walked is 75 ft.

Total displacement from her starting point is 35 ft east.

Step-by-step explanation:

Consider the sketch below.

The distance travelled can be obtained by adding all the distances walked in different directions.

This is 20ft +35 ft +20ft = 75ft

The distance Maria walked is 75 ft.

The displacement of an object refers to the distance travelled in a specified direction.

We noticed that maria moved 20ft north, then 35 ft east, only to come back 20 ft south again.

This means her total displacement from her starting point is 35 ft east. this is because her north and south movements cancelled out each other.

Answer:

yes

Step-by-step explanation:

When forming a triangle, the sum of 2 of the sides must be greater than the third. In this case 12+9=21 which is greater than the third side (21>19)

Answer:

  A) 10

  B) 39

  C) the last digit must be greater than the previous digit. 0 is not greater than any other digit, so the last digit cannot be 0.

Step-by-step explanation:

A) Numbers of the form low, high, ... can start with digits 1 or 2, and the 3rd digit will be the other one. There 4 such numbers 1423, 1324, 2413, 2314. In addition, For a first digit of 2, the second digit may be 1, allowing 2143. Thus, there are 5 numbers starting with 1 or 2 and ending with 3 or 4.

There are 5 additional numbers that are the reverse of these.

  There are 10 4-digit snake-like numbers containing 1–4 exactly once.

__

B) We assume a "3-digit number" will be in the range 100–999. That is, the leading digit will not be zero. If you allow a leading 0, the answer is different.

With 6 as a middle digit, the numbers 1–5 can be the first digit and the numbers 0–5 can be the last digit. Hence there are 5·6 = 30 numbers of the form low-6-low.

If the form is high-6-high, there are 3 possible first digits and 3 possible last digits, so 3·3 = 9 numbers of the form high-6-high.

  There are 39 3-digit snake-like numbers with 6 as the middle digit.

__

C) A 7-digit snake-like number will alternate high-low, with high being the last digit. Hence the last digit must be higher than the previous digit, so cannot be 0.

Answer:

$2.040

Step-by-step explanation:

Para calcular la cantidad que fue abonada en realidad, debes encontrar el valor del descuento calculando el 15% del valor total de la compra y este resultado se debe restar del total:

$2.400*15%= $360

$2.400-$360= $2.040

De acuerdo a esto, la cantidad abonada en realidad es: $2.040.

Answer:

b = (A - lw) / 0.5h

Step-by-step explanation:

The formula for area of the enclosed place is

A=lw+0.5bh

Where,

A= Area of the enclosed space

l= length of the rectangle

w= width of the rectangle

b= base of the triangle

h= height of the triangle

A=lw+0.5bh

Solve for b

A=lw+0.5bh

Subtract lw from both sides

A - lw = lw + 0.5bh - lw

A - lw = 0.5bh

Divide both sides by 0.5h

(A - lw) / 0.5h = (0.5bh) / 0.5h

(A - lw) / 0.5h = b

Therefore,

b = (A - lw) / 0.5h

Answer:

b= A-lw over 0.5h

Step-by-step explanation:

Step-by-step explanation:

(x+4)3=2

3x+12=2

3x=-12+2

3x=-10

divide both sides by 3

x=-10/3

I believe the answer is 9.

Answer:

1.58 *h=50.5 * 2.9

1.58 *h = 146.45

divide by 1.58

h=92.68987= 92.69

Step-by-step explanation:

Answer:

Amount of NaCl = 23.376 gram

Step-by-step explanation:

Given:

Molarity = 4M

Volume of solution = 100 ml

Find:

Amount of NaCl

Computation:

Molar mass of Na = 22.99 g/mole

Molar mass of Cl = 35.45 g/mole

Molar mass of NaCl =  22.99 + 35.45

Molar mass of NaCl  = 58.44 g/mole

Molarity = [moles of solute / volume of solute(ml)]1,000

4 = [moles of solute / 100]1000

Moles of solute = 0.4

moles of solute = Mass of solute / molar mass

0.4 = Amount of NaCl / 58.44

Amount of NaCl = 23.376 gram

Answer:

2

Step-by-step explanation:

Answer: 3 lbs per week were lost

Step-by-step explanation:

Answer:

y=10

m<JKM=106

m<MKL=74

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{218} \: \: units}}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

Let A ( -4 , 6 ) be ( x₁ , y₁ ) and B ( 3 , -7 ) be ( x₂ , y₂ )

Finding the distance between these two points

[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 - ( - 4))}^{2} + { (- 7 - 6)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 + 4)}^{2} + {( - 7 - 6)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {7}^{2} + {13}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{49 + 169} }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{218}}} [/tex] units

Hope I helped!

Best regards! :D

Answer:

x = 1.5

Step-by-step explanation:

First, we distribute (get rid of parentheses):

6x - 3 - 3x = 5 - x - 2

Then, we simplify:

3x - 3 = 3 - x

Then, we combine like terms:

3x + x = 3 + 3

Then, we simplify again:

4x + 6

Finally, we divide 4 on both sides:

We got x = 1.5

Hope this helps!

Answer:

X = 1.5

duhhhhhhhhhhhhh

Answer:

d = 6

Step-by-step explanation:

[tex]-6-d=-2d\\\\-6+6-d=-2d+6\\\\-d=-2d+6\\\\-d+2d=-2d+2d+6\\\\\boxed{d=6}[/tex]

Hope this helps.

Answer:

true

Step-by-step explanation:

Answer:

Answer is A - (1, 3) and (2, 6)

Step-by-step explanation:

(1, 3) • 2

= (1 • 2, 3 • 2)

= (2, 6)

Ratio: 2/2, 6/2

Therefore, the answer is A.  

Answer:

a

Step-by-step explanation: