Simplify the fraction below​

Answer:

10800

Step-by-step explanation:

The number of bacteria in a colony growing exponentially. At 4 pm yesterday the number of bacteria is 400.And at 6 pm yesterday it was 3600. How many bacteria in the colony at 7 pm?

Step-by-step explanation:

B = B₀ Kⁿ

At 4 pm yesterday the number of bacteria is 400

B₀ = 400

n = number of hrs

at 6 pm yesterday it was 3600 => n =  6- 4 = 2 hrs

B₂ = 3600

=> 3600 = 400 * k²

=> k² =  9

=> k = 3

At 7 Pm Yesterday

n = 7-4 = 3

B₃ = 400 * 3³

=> B₃ = 27 * 400

=> B₃ = 10800

bacteria in the colony at 7 pm = 10800

or B₂ = 3600 & n = 7-6 = 1

Then B₃ = 3600 * 3¹ = 10800

And boom here

Answer:

10800

Step-by-step explanation:

4 PM: 400

5 PM: 1200

6 PM: 3600

it multiplies by 3, so the answer is 10800

Sum of the interior angles of any triangles equalls to 180 degrees thus :

[tex]36 + 4s + 2s = 180[/tex]

Collect like terms :

[tex]6s + 36 = 180[/tex]

Subtract both sides 36

[tex]6s + 36 - 36 = 180 - 36[/tex]

[tex]6s = 144[/tex]

Divide both sides by 6

[tex] \frac{6s}{6} = \frac{144}{6} \\ [/tex]

[tex]s = 24[/tex]

Answer:

50(2x-1)

Step-by-step explanation:

GCF of 100x and 50 is 50

50(2x-1)

Answer:

1/2+1/4x

Step-by-step explanation:

(2/3-1/6) + (1/2-1/4)x

(4/6-1/6)+(2/4-1/4)x

3/6+1/4x

1/2+1/4x

The answer to the question is 14 . 10^5x.

Answer:

1,400,000

Step-by-step explanation:

800,000 + 600,000 = 1,400,000

Answer:

Step-by-step explanation:

Travelled on Saturday:

Remaining distance:

Travelled on Sunday:

Answer : 3/10

Here it's given that Peter's family travelled 3/10 of the distance on Saturday . So if we assume the total distance to be 1 , then the remaining distance will be ,

[tex]\sf\longrightarrow 1 - \dfrac{3}{10}=\dfrac{10-3}{10}=\boxed{\dfrac{7}{10}}[/tex]

Again it's given that they travelled 3/7 of the remaining distance on Sunday . So , the distance travelled would be ,

[tex]\sf\longrightarrow \dfrac{3}{7}\times \dfrac{7}{10}=\boxed{\sf \dfrac{3}{10}} [/tex]

Therefore Peter's family travelled 3/10 of the total distance on Sunday .

Answer:

total commission = 84$

Step-by-step explanation:

perfume commission = 12/100* 350 = 42.00$

cloth commission = .06*700 = 42.00$

Answer:

x = 5

y = 17

Step-by-step explanation:

diagonals of a parallelogram bisect each other so:

11 = x+6

x = 5

10 = y-7

17 = y

Answer:

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so you get two equations.

y - 7 = 10                  Add 7 to both sides

y = 10 +  7

y = 17

x + 6 = 11                 Subtract 6 from both sides.

x + 6 - 6 = 11 - 6

x = 5

Answer:

 62.5 : 37.5

Step-by-step explanation:

When we divide 100 into 5:3 ratio the parts we make need to add up to 100

5parts +3 parts = 8 parts

100/8 parts = 12.5 are in each part

12.5*5 : 12.5*3

 62.5 : 37.5

check our answer 62.5+37.5 = 100 ✅

Answer:

KJ = 22

Step-by-step explanation:

(See attachment below)

The equation that could be used to find x, the average number of feet the tree grew each month is; 14x + 10 = 56.2

We are told that the tree was planted at a height of 10 ft.

Period for which tree was planted = 14 months

Height of tree after 14 months = 56.2 ft.

Thus, if x is the average number of feet the tree grew each month, then the equation to find x is;

14x + 10 = 56.2

Read more about algebra word problems at; https://brainly.com/question/21405634

Answer:

18 m

Step-by-step explanation:

If all the sides are equal, that means all the sides are equal to 6.

6 + 6 + 6 = 18

Answer:

4

Step-by-step explanation:

96/4 is 24.

100/4 is 25

Answer:

4

Step-by-step explanation:

4 is the greatest common factor of 96 and 100

96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

100: 1, 2, 4, 5, 10, 20, 25, 50, 100

If 1litre=20km what about 180km 180km×1litre divided by 20km so the answer is 9litres.

Answer:

3000 I believe

Step-by-step explanation:

hope this helps

Answer:

uh 3000

Step-by-step explanation:

15*200=3000

:)

Answer:

$91

Step-by-step explanation:

20% of 120= 96

96-5=91

I'm assuming you meant to write y = ax^2 or [tex]y = ax^2[/tex]

If 'a' is positive, then the parabola opens upward

On the other hand if a < 0, then the parabola would open downward.

One way to remember is that 'a' being positive means that the parabola makes a positive happy smile; 'a' being negative means the parabola makes a negative sad frown.

Answer:

I belive the answer is a

correct me if I'm wrong

Answer:

A = 148 cm^2

Step-by-step explanation:

To calculate the surface area of the cuboid we use the following equation

A = 2 x (lh + lw+ hw) (l: length, w: width, h: height)

A = 2 x (6*5 + 6*4 + 5*4)

A = 2 x (30 + 24 + 20)

A = 2 x 74

A = 148 cm^2

Answer:

1

Step-by-step explanation:

sqrt 1 = 1

3 - 1 = 2

f(x) = 2 when x = 1

Answer:

2:3

Step-by-step explanation:

16/24=1/3

Hope this helps you!!!!!!!! :D

Answer:

78=c98

Step-by-step explanation:

this is easy

Answer:

x = 5

Step-by-step explanation:

Here we can see SM and MT have equal sides.

Therefore, 2x + 3 should be equal to 4x - 7

So,

                      2x + 3 =  4x - 7

                      2x - 4x = -7 -3

                     -2x = -10

                       x = -10 / -2

                       x = 5

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, the value of x is 5.

Answer:

≈2.646 [m/s²].

Step-by-step explanation:

1) to calculate the resulting force, F (marked with red colour);

2) to calculate the requred acceleration, a=F/m.

All the details are in the attachment, the answer is marked with orange colour.

Answer:

The correct answer is option (A) 763 in³.

Step-by-step explanation:

As per given question we have provided that :

Here's the required formula to find the volume of cylinder :

[tex]\longrightarrow{\pmb{\sf{V_{(Cylinder)} = \pi{r}^{2}h}}}[/tex]

Substituting all the given values in the formula to find the volume of cylinder :

[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{r}^{2}h}}[/tex]

[tex]\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14{(4.5)}^{2}12}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14{(4.5 \times 4.5)}12}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14(20.25)12}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = 3.14 \times 20.25 \times 12}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} \approx 63.58\times 12}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} \approx 762.96}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} \approx 763 }}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{Volume_{(Cylinder)} \approx 763 \: {in}^{3}}}}}}[/tex]

Hence, the volume of cylinder is 763 in³.

[tex]\rule{300}{2.5}[/tex]

Answer:

240 square inches

Step-by-step explanation:

1 foot = 12 inches

to convert 4/3 ft to inches, multiply by 12

4/3 × 12 = 16 inches

the area of a square = base × height

base = 16, height = 15

16 × 15 = 240 square inches

Answer:

(3,0), (4,0), (5,0)

on the x-axis at 3, 4 and 5

Step-by-step explanation:

This function is a lovely swoopey cubic curve. If we finish factoring it, it's not to hard to see the x-intercepts. You set it equal to zero and solve it. The solutions are the x-intercepts (are the "zeros")

0=(x-5)(x^2-7x+12)

0=(x-5)(x-3)(x-4)

0=x-5, 0=x-3 & 0=x-4

x=5, x=3, x=4

This is where the graph crosses the x-axis.