What is 4.9 x 10 -3 in standard form?

Part 1

Pizzas sold last day = 65

Increasement needed in sale = 20%

pIzzas to be sold today

= 65 + 20% of 65

= 65 + 20/100 × 65

= 65 + 1/5 × 65

= 65 + 1/1 × 13

= 65 + 13

= 78

Part 2

Pizzas sold last day = 65

Pizzas sold today = 60

60 = 65 + x% of 65

60 = 65 + x/100 × 65

60 - 65 = x/20 × 13

- 5 = x/20 × 13

-5/13 = x/20

-5/13 × 20 = x

-7.692 = x

Therefore, there was a decrease in pizza sale by 7.692%

By rounding off,

The decrease in pizza sale was by 7.700%.

= 7.7%

Answer:

48 hours

Step-by-step explanation:

So one Pipe can fill an empty pool in 12 hours, and a drain can empty the pool in 16 hours.

So let's just say that x is the value for how much the pool was filled, and y is the time taken.

So which means :

X = [tex]\frac{1}{12}y[/tex] - [tex]\frac{1}{16} y[/tex]

[tex]\frac{1}{12}[/tex] represents the volume of the tank being filled up in one hour while [tex]\frac{1}{16}[/tex] represents the volume of the tank being drained in one hour. By subtracting, we get to know the volume of the tank being filled up in one hour.

So, we solve the equation.

To find X, we make the denominator of the two fractions the same.

X = [tex]\frac{1}{12}y[/tex] - [tex]\frac{1}{16} y[/tex]

= [tex]\frac{1(4)}{12(4)}y[/tex] - [tex]\frac{1(3)}{16(3)}y[/tex]

= [tex]\frac{4}{48}y[/tex] - [tex]\frac{3}{48}y[/tex]

Then, we subtract.

[tex]\frac{4}{48}y[/tex] - [tex]\frac{3}{48}y[/tex] = [tex]\frac{1}{48}y[/tex]

[tex]\frac{1}{48}[/tex] is the volume of the pool that is filled in one hour

Finally, we find the time taken for the pipe to fill the pool.

If one hour fills [tex]\frac{1}{48}y[/tex] of the pool, then :

1 = [tex]\frac{1}{48}y[/tex]

y = 48 hours.

So, the time taken for the pipe to fill the pool with the drain left open is 48 hours.

Answer:

f(x)=1/2(x-4)^2+2

Answer:

The three numbers are 19, 18, and 31.

Step-by-step explanation:

The three numbers are x, y, and z.

y=x-1

z=2y-5

z=x+12

2y-5=x+12

2(x-1)-5=x+12

2x-2-5=x+12

x=19

y=18

z=31

The three numbers are 19, 18 and 31

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.

let the three numbers be x, y, and z.

So, according to question

The second of three numbers is one less than the first,

y = x-1

The third number is 5 less than twice the second,

z=2y-5

also, If the third number exceeds the first number by

12z=x+12

Now, equating the equations

2y-5=x+12

2(x-1)-5=x+12

2x-2-5=x+12

x=19

So, y=18 and z=31.

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ5

Answer:

Step-by-step explanation:

Sum of all three angle in a triangle=180

Given angles are 35°,45°

Let the remaining angle =x

So 35 +45+X=180

X=180-80

X=100°

Remaining angle =X=100° is the answer

Definition:

A line is a one-dimensional figure, characterized by its length but no width (thickness). A line is made of a set of points which is extended in opposite directions infinitely.

A line is determined by two points in a two-dimensional plane such as the x-y plane.

The graph of a function can be represented by a line because all points on the line provide a solution to the function. Such functions are usually linear functions.

Read more;

https://brainly.com/question/20081078

Answer:

26/24

Step-by-step explanation:

you multiply 1 by 8 and 6 by three as well as 3 by 8 and 8 by three to get 8/24 and 18/24 . now that you have a common denominator, you can add the two together to get 26/24

Answer:

[tex](x-y)(x^2+xy++y^2)[/tex]

Step-by-step explanation:

[tex]Proof :\\(x-y)(x^2+xy+y^2)\\=(x^3+x^2y+y^2x-x^2y-xy^2-y^3)\\=x^3-y^3[/tex]

Answer:

It would be D

Step-by-step explanation:

Got it right on Edge 2021

Answer:-5 is the x-intercept, -4 is the y

Step-by-step explanation:y intercept is when x=0, and the other way around

Answer:

4%

Step-by-step explanation:

12/300

hope this helps

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Ratio and Proportions.

Thus the equivalent ratio to 8:5 will be,

24:15 , 40:25 and 16:10

because, here if we reduce by common multiple 24:15 , 40:25 and 16:10 both , we will get as 8:5

so the correct answer is c.) 40:25 and e.) 16:10 b.) 24:15

Select all ratios equivalent to 1:2

Step-by-step explanation:

Answer:

1. D

2. D

Step-by-step explanation:

Answer:

i thinks it's D im not so sure but i think it's D

Answer:

54 miles

Step-by-step explanation:

86 - 22= 64. 64÷2= 32. BIANCA RAN 32 MILES. 32 + 22= 54. kiera ran 54 miles

Bianca ran 32 miles last month while Kiera ran 54 miles (22 more) for a combined total of 86 miles.

Let x = miles Bianca ran

x + 22 = miles Kiera ran

combined total of their miles is 86 miles

x + (x + 22) = 86

solving for x

2x + 22 = 86

2x = 86 - 22

2x = 64

x = 64 / 2

x = 32

therefore, Bianca ran for 32 miles.

learn more about miles here

brainly.com/question/32302516

#SPJ2

Answer:

n = 6

Step-by-step explanation:

2n - 32 = 10n - 80

2n - 10n = -80 + 32

-8n = -48

-48/-8 = 6

Let's solve your equation step-by-step.

2x+9=8x+21

Step 1: Subtract 8x from both sides.

2x+9−8x=8x+21−8x

−6x+9=21

Step 2: Subtract 9 from both sides.

−6x+9−9=21−9

−6x=12

Step 3: Divide both sides by -6.

-6x/-6=12/-6

x=-2

Answer:

-2 = x

Step-by-step explanation:

First, combine like-terms. I subtracted 21 from both sides and subtracted 2x from both sides. This gave us 12 = -6x. Then, divide to solve for x. This gives us -2 = x.

Hope this helps! Let me know!

Answer:

B

Step-by-step explanation:

if it is a vertical line, x=1 for all values of y

Answer:it’s B i just took this

Step-by-step explanation:

Answer:

37.5

Step-by-step explanation:

It is really a simple equation, you are only dividing.

Hope this helps! ;)

Answer:

Option A

Step-by-step explanation:

The equation of line is

Solution:

Given that line passes through the point (4, –6) and has a slope of Negative three-fourths

Given point is (x, y) = (4, -6)

The equation of line passing through point (x, y) and slope "m" is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute (x, y) = (4, -6) and  in eqn 1

The required equation of line is given as:

Thus the equation of line is found

Answer:

a

Step-by-step explanation:

Answer:

252

Step-by-step explanation:

because there are 14 chairs at each table => there are: 294/14= 21 (tables)

two chairs will be removed from each table => the number of chairs removed are: 21.2 = 42 (chairs)

the chairs  will be left in the cafeteria are: 294 - 42 = 252( chairs)

When two chairs will be removed from each table, then there would be 252 chairs left in the cafeteria.

Dividend = Divisor × Quotient + Remainder.

For given question,

total number of chairs = 294

there are 14 chairs at each table.

So, to find the number of tables in the cafeteria we need to divide total number chairs by 14.

The number of table would be,

= 294/14

= 21

This means, there are 21 tables.

If we remove two chairs from each table, then number of chairs at each table would be 14 - 2 = 12

So, the total number of chairs left in the cafeteria would be,

= 21 × 12

= 252

Hence, there will be 252 chairs left in the cafeteria.

Learn more about division here:

https://brainly.com/question/2272590

#SPJ2

Answer:

no

Step-by-step explanation:

there are 2 1's in that function

Answer:

nosoulutions

Step-by-step explanation:

Answer:

There are no solutions.

Step-by-step explanation:

Step-by-step explanation:

This is a guess but wouldn't you multiply each side by (0.8)

12(0.8)= 9.6

10(0.8) =8

10(0.8)=8

16(0.8)= 12.8

perimeter= all sides added together

9.6+8+8+12.8= P

P=38.4?

Answer:

This is a guess but wouldn't you multiply each side by (0.8)

12(0.8)= 9.6

10(0.8) =8

10(0.8)=8

16(0.8)= 12.8

perimeter= all sides added together

9.6+8+8+12.8= P

P=38.4?

Step-by-step explanation:

I did this so you can mark the other guy brainliest, its their answer and they deserve all the credit. Make sure to thank them!

Answer:

Step-by-step explanation:

First, solve for each function separately:

F(5)=52+4(5)F(5)=25+20⇒F(5)=45

G(6)=2(6)+2G(6)=12+2⇒G(6)=1

Now, let's add our solutions together:

F(5)+G(6)=45+14=59

Answer:

all real numbers

Step-by-step explanation:

It gives me 0

Answer:

3 years old

Step-by-step explanation:

( 21 + 24 + 18 + 15 + 15 + x ) / 6 = 16

93 + x = 96

x = 3

The person who entered the room is 3 years old.

Answer:

3 years old

Step-by-step explanation:

x= age of the person who entered the room

The sum of 21,+ 24,+ 18,+ 15,+ 15 = 93

(93+x )     divided into 6 = 16

Multiply both sides by 6

93+x = 96

x=3

 93+3= 96

96/6 = 16

Answer:

Not directly proportional

Oh and can you give me brainliest