Lois has 1/2 a pie that she must divide equally with four friends. She cuts five pieces of pie
from the 1/2 pie. If all of the pieces are equal in size, what part of the total whole pie will each piece represent
piece represent?

Answer:

Step-by-step explanation:

The standard form of this exponential function is

[tex]y=a(b)^x[/tex] where a is the initial value and b is the growth rate. Our initial value is 490 and our growth rate is .2 so the equation is

[tex]y=490(.2)^x[/tex]

Answer:7/97 or 0.072165

Step-by-step explanation:

Answer: length is 22m and breadth is 40m.

Step-by-step explanation:

breadth = b

length = 18+b

so

perimeter of rectangle = 2(l+b)

124 = 2(18+b+b)

or, 124 = 36 + 4b

or, 124-36 = 4b

or, b =  88/4 = 22m

so

l = 18 + b

 = 18+22

 = 40m

Answer:

(a) Mixed fraction.

(b) 13.244

(c) [tex]13 \frac{1}{20} [/tex]

(d) [tex]12 \frac{13}{55} [/tex]

Sorry that I can't add step-by-step explanation. I don't have enough time.

Answer:

41 cars and 86 trucks

Step-by-step explanation:

C+T=127

2C+4=T

C+(2C+4)=127

3C+4=127

3C=123

C=41When C=41,

41+T=127

T=127-41

T=86

Answer:

13

Step-by-step explanation:

They now have 31 computers after receiving 18 so we can subtract 18 from 31 to get 13.

31 - 18 = 13

Answer:

The lifeguard would get a 30 minute break.

Step-by-step explanation:

6 hours ÷ 2 hours = 3

3 x 10 = 30 minutes

Answer:

see explanation

Step-by-step explanation:

Solving an equation and obtaining the final line as

2 = 2 ( that is both sides equal )

Indicates that the equation has an infinite number of solutions

Answer:

Hope its help you...........

Answer:

The answer is 1024

Step-by-step explanation:

Hope I am correct

Answer:4096

Step-by-step explanation: Considering that 4096 is a perfect square and perfect cube. Also that being the smallest 4 digit number 4096 is the correct answer

Answer:

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

[tex]x^2 - y^2 = (x+y)(x-y) = 10\times 4 = 40[/tex]

Answer:

(2x-4) (x+5)=0

2x(x+5) -4(x+5)=0

2x^2+10x-4x-20=0

2x^2+6x-20=0

x^2+3x-10=0 ( Taking common of 2 )

x^2+(5-2)x-10=0 • (3=(5-2)x)

x^2+5x-2x-10=0

x(x+5)-2(x-5) =0 • Taking common

(x+5)(x-2) =0

so x=-5 or x=2.

The solutions to the equation (2x — 4)(x + 5) = 0 will be negative 5 and 2. Then the correct options are D and E.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equation is given below.

(2x - 4)(x + 5) = 0

The factors (2x - 4) and (x + 5) will be zero. Then we have

2x - 4 = 0

2x = 4

x = 4/2

x = 2

Then the other solution to the equation will be

x + 5 = 0

x = -5

The solutions to the equation (2x — 4)(x + 5) = 0 will be negative 5 and 2. Then the correct options are D and E.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ5

Step-by-step explanation:

Hi there!

Zero of the polynomial is the value of "X" that gives final answer as zero.

So, as the polynomial in the second gives zero every time when we keep the zero which are given in the question. It is the answer.

Check:

• x⁴ - x³ - 16x² + 16x

Keep the value -4 as the value of X in polynomial.

= (-4)⁴-(-4)³ -16*(-4)²+16*(-4)

= 256+64-256-64

= 0

Keep the value 0 as the value of X in polynomial.

= (0)⁴-(0)³ -16*(0)²+16*(0)

= 0-0-0+0

= 0

Keep the value 1 as the value of X in polynomial.

= (1)⁴-(1)³ -16*(1)²+16*(1)

= 1-1-16+16

= 0

Keep the value 4 as the value of X in polynomial.

= (4)⁴-(4)³ -16*(4)²+16*(4)

= 256 - 64-256+64

= 0

Therefore, the correct answer is option B.

Hope it helps!

Answer:

5/12

Step-by-step explanation:

1x5/2x6

Answer:

my answer is Rs 57

remember it says remaining copies so u much find the 5% from the price of 900 copies

Answer:

Other ingredients is 2

v =10 is the answer of 5th question (-40)/-4 = 10

Step-by-step explanation:

I. Find sum of flour and sugar

                 when c is cup, flour = 3/4 and sugar is 3/2

                 [tex]\frac{3}{4} +\frac{3}{2} = \frac{9}{4}[/tex]    or [tex]2\frac{1}{4}[/tex]

II. If total is [tex]4\frac{1}{4}[/tex]

                so [tex]4\frac{1}{4} - 2\frac{1}{4}[/tex] = 2

Hope that help :D

Answer:

Step-by-step explanation:

natural numbers start from one but it says greater than 70 so it will start from 71 but to any number as long as it is greater than 70

[tex]\\ \sf\longmapsto \dfrac{k-1}{15}=\dfrac{15}{9}[/tex]

[tex]\\ \sf\longmapsto 9(k-1)=15^2[/tex]

[tex]\\ \sf\longmapsto 9k-9=225[/tex]

[tex]\\ \sf\longmapsto 9k=225+9[/tex]

[tex]\\ \sf\longmapsto 9k=234[/tex]

[tex]\\ \sf\longmapsto k=\dfrac{234}{9}[/tex]

[tex]\\ \sf\longmapsto k=26[/tex]

Step-by-step explanation:

everything can be found in the picture

Answer:

b=6

Step-by-step explanation:

modul of the vector AB= sqrt((b-2)^2+(3-1)^2)= sqrt (b^2-4b+8). It is the length of the side AB

modul of the vector BC is equal to sqrt ((b-5)^2+(-2)^2)= sqrt (b^2-10b+29)

modul of the vector AC is sqrt ((5-2)^2+(5-1)^2)= 5

squared modul of AB + squared modul of BC = squared modul of the vector AC.

b^2-4b+8+b^2-10b+29=25

2b^2-14b+12=0

b^2-7b+6=0

b=1    b=6

b>5, s0 b=6

Answer:

[tex]40x = 60(x - 1) \\ \\ 2x = 3x - 3 \\ \\ x = 3 \\ \\ \\ 7 \times \frac{7x}{2} - 29x = - 9 \\ \\ 49x - 58x = - 18 \\ \\ - 9x = - 18 \\ \\ x = 2[/tex]

Answer:

Answer:

Translation (the +5)

Dilation (the x 4)

Compression (the 3 to 1/3, and the x to 2-x)

Step-by-step explanation:

Brainliest, please!

Answer:

k=3/13

Step-by-step explanation:

Rearrange terms

Subtract

from both sides of the equation

Simplify

Subtract

from both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify

Answer:

[tex]k=\frac{3}{13}[/tex]

Step-by-step explanation:

[tex]-6k+1=-2+7k[/tex]

Subtract 1 from both sides:-

[tex]-6k=7k-3[/tex]

Now, Subtract 7k from both sides:-

[tex]-6k-7k=7k-3-7k[/tex]

[tex]-13k=-3[/tex]

Divide both sides by -13:-

[tex]\frac{-13k}{-13}=\frac{-3}{-13}[/tex]

[tex]x=3/13[/tex]

OAmalOHopeO

Answer:

- 5x^4, 20x^7, -80x^10, 320x^13, -1280x^16, 5120x^19, -20480x^22

Integer scale factor = x-4

Exponent scale factor = +3

Answer = -20,480x^22

Answer:

|x| ≥ 7

Step-by-step explanation:

Taking the absolute value means that any value of x will always be positive, meaning that the absolute value of -7 or less would be 7 or greater, which satisfies the inequality above and line graph.

Absolute value is 7 or greater.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

As, absolute value means that any value of x will always be positive.

So, the absolute value according to -7 or less would be 7 or greater,

Hence, absolute value is 7 or greater.

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2

Answer:

Step-by-step explanation:

Answer:

D A B C

Step-by-step explanation:

Greater than means line going right

Less than means line going left

Open circle means no equal to sign

Closed circle means equal to sign