150 children attend a nursery, 72 of them are boys. What percentage are girls?​

Answer:

Step-by-step explanation:

Answer:

y-1= -(3/4)(x-8)

Step-by-step explanation:

y -1  =(-3/4)(x-8)

Distribute

y -1= (-3/4)x+6

Get rid of -1 by adding 1 to both sides

y=(-3/4)x+7

Hope this helps :)

Yes, it is a solution

y = -10x + - 4

The given point: (0, -4)

To know if it is a solution, we need to replace the y and x with the points given.

If the result on the left hand side is the same as the right hand side then, it is a solution

x =0, y = -4

-4 = -10(0) + -4

-4 = 0 + (-4)

Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.

-4 = 0 - 4

-4 = -4

The left hand side is the same as the right hand side. Hence, it is a solution

Answer:

Yes it is a solution

Step-by-step explanation:

y = -10x + - 4

Point: (0, -4)

(a) 65 means the car will travel 65 miles in 1 hour .

(b) The car will travel 97.5 miles in 1.5 hours .

(c) The car will take 0.4 hours to travel 26 miles at his speed .

In the question ,

it is given that

the car is traveling down a highway at a constant speed

and the equation representing is d =65*t

Part(a)

On comparing , the given equation with the equation of speed , time and distance

which is , distance = speed × time

on comparing both the equations , we get speed = 65 mph .

hence , 65 means the car will travel 65 miles in 1 hour .

Part(b)

substituting the value t = 1.5 hours in the given equation , we get

d = 65×1.5

= 97.5

hence , The car will travel 97.5 miles in 1.5 hours

Part(c)

Substituting the value of d = 26 miles in the given equation , we get

26 = 65×t

t = 26/65

t = 0.4 hours

hence , It takes the car 0.4 hours to travel 26 miles.

Therefore , (a) 65 means the car will travel 65 miles in 1 hour .

(b) The car will travel 97.5 miles in 1.5 hours .

(c) The car will take 0.4 hours to travel 26 miles at his speed .

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Answer:

with what?

Step-by-step explanation:

Answer:  D

Step-by-step explanation:

A. [tex]P=2(4)-3=5[/tex]

B. [tex]P=2(0)-3=-3[/tex]

C. [tex]P=2(0)-0=0[/tex]

D. [tex]P=2(4)-0=8[/tex]

Answer: a = 2.2

C = 5.1,-5.1

Answer:

ok wirrudi 123 alf8 434 21 3dis w

The amount in pounds of sliced ham he can buy is 083 pounds.

It costs $3.50 per pound of sliced ham at the deli and Weylan spent $2.90.

The number of pounds of sliced ham he bought can be calculated as follows:

Hence,

3.50 dollars = 1 pounds of sliced ham

2.90 dollars = ?

cross multiply

amount of pounds he bought = 2.90 × 1 / 3.50

amount of pounds he bought = 2.90 / 3.50

amount of pounds he bought = 0.82857142857

amount of pounds he bought = 0.83 pounds

Therefore, the amount of pounds bought to the nearest hundredth is 0.83 pounds.

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Answer:

A= C + 12%C = 1.12C

S=.C -2%C = .98C

A,C and S are the speeds of Alex, Cameron and Sam

400 meter race

how far is Sam from the finish line when Alex crosses the finish line?

distance = speed times time

400 = AT where T=Alex' finish time

400=1.12T

400=CU where U = Cameron's finish time

400=SV where V = Sam's finish time

T<U<V

Alex' finish time is less than Cameron's finish time is less than Sam's finish time

if Cameron runs at 20 meters per second, finishing in 20 seconds

then Sam is about 50 meters from the finish line when Alex finishes

sorry if i´m too late, hope this helps!

The most appropriate choice for velocity and accleration will be given by-  Deacceleration of a car of 15 [tex]m/s^2[/tex] is a real world situation for which the rate of change is -15

What is velocity and acceleration?

Velocity

The distance travelled by a body per unit interval of time where the direction of the motion of a body is taken into account is known as velocity.

Velocity is a vector quantity as direction of motion of body is taken into account.

If d is the displacement of body and t is the time,

Velocity = [tex]\frac{d}{t}[/tex]

Acceleration

The rate of change of velocity of a body is called acceleration.

Acceleration is a vector quantity as direction of motion of a body is taken into account.

If [tex]\Delta[/tex]v is the change of velocity and t is the time,

Acceleration = [tex]\frac{\Delta v}{t}[/tex]

If velocity decreases then it is called Deacceleration

Here

Deacceleration of a car is 15 [tex]m/s^2[/tex]

That means rate of change of velocity of a car is -15 [tex]m/s^2[/tex]

This is a real world situation for which the rate of change is -15

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Let p(x) be the required polynomial.

we are given that p(x) has a zero 1 with multiplicity 2

in other word, this means that (x-1) occurs twice as a factor of p(x).

Expressions with polynomial functions include variables with various degrees, non-zero coefficients, positive exponents (of variables), and constants. A polynomial in "b" of degree 2 is, for instance, f(b) = 4b2 - 6.

Likewise, (x-3) appears as a factor of p(x) once.

we are also given that the degree of p(x) is 3.

So, p(x) can not have more than 3 linear factors.

Altogether,

p(x) = k(x-1)^2  (x-3), where constant k ∈ R - {0}.

We may take k = 1 and get the desired polynomial,

p(x) = ( x-1)^2 ( x-3) = x^3 - 5x^2 +7x -3

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Answer:

Step-by-step explanation:

1,3        2,6        4,8

I hope it helps, thank you!

Answer:

110

Step-by-step explanation:

To find the measure of the exterior angle we first need to find the value of t.

The sum of interior angles in a triangle is equal to 180° so we can write the following equation:

t + 10 + t + t + 20 = 180 add like terms

3t + 30 = 180 subtract 30 from both sides

3t = 150 divide both sides by 3

t = 50

The exterior angles and the angle represented with t + 20 make a straight line

and they are supplementary angles so their sum is equal to 180

t + 20 = 70 to complete this to 180 we need 110

Answer:

y = -x - 7

Step-by-step explanation:

Perpendicular to the slope m = 1 is the slope -1/m = -1.

y = m * (x - Px) + Py

y = -1 * (x - 2) + (-9)

y = -x + 2 - 9

y = -x - 7

Answer: 10 cm

Step-by-step explanation: because i am alwauys right about your mom

The equation for the line that passes through the given point and is perpendicular to the given line is x - 4y = 3

Given : x - 4y = 8

4y = x- 8

On dividing by 4 we get;

y= x/4 - 2

This is of the form y = mx + c

Thus m in this case on comparing we get m= 1/4

We know the formula of the slope ;

y - y₁ =m ( x - x₁ )

y - 1 = 1/4 ( x- 7)

On cross multiplying we get ;

x- 4y = 3

Thus the equation for the line that passes through the given point and is perpendicular to the given line is x - 4y = 3 .

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Answer:

4cm..............................

Step-by-step explanation:

24/6=4

4x6=24

The total surface area of the triangular prism is 756 meter²

Given,

A triangular prism and its net.

We have to find the surface area of the triangular prism.

First we can consider the right angled triangle.

Height = 9 meter

Base = 12 meter

Hypotenuse = 15 meter

Area of the right angled triangle = (1/2 bh)

Here,

Area = 2 × (1/2 bh) = 2 × (1/2 × 12 × 9) = 2 × 6 × 9 = 108 meter²

Now, area of right rectangle.

Area of rectangle = length × breadth

Here, the breadth of the rectangle is the height of the triangle = 9 meter

Length = 18 meter

Area = length × breadth = 9 × 18 = 162 meter²

Then, area of middle rectangle.

Length = 18 meter

Breadth = 12 meter

Area = length × breadth = 18 × 12 = 216 meter²

Next, area of left rectangle.

Length = 18 meter

Breadth = Hypotenuse of the triangle = 15 meter

Area = length × breadth = 18 × 15 = 270 meter²

Now, lets calculate the total surface area of the triangular prism.

Surface Area of triangular prism = 108 + 162 + 216 + 270 = 756 meter²

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Answer:

1.

f(0) = -3

f(1) = f(0) + 0.5 = -3 + 0.5 = -2.5

f(2) = f(1) + 0.5 = -2.5 + 0.5 = -2

f(3) = f(2) + 0.5 = -2 + 0.5 = -1.5

f(4) = f(3) + 0.5 = -1.5 + 0.5 = -1

2.

f(n) = 0.5n - 3

This function is linear.

Given:

Ratio of ounces of oil to gallons of gasoline = 9 : 11

Gallons of gasoline = 55 gallons

Let's find the ounces of oil.

To find the ounces of oil, we have the equation:

Thus, we have:

Let x represent the ounces of oil.

Cross multiply:

Therefore, there are 45 ounces of oil.

ANSWER:

45 ounces of oil

The evaluation of the numbers (-3)^8 and (-3)^9 will be (-3)^17.

Based on the information given, it should be noted that this illustrates that the numbers are raised to power.

In this case, it should be noted that we want to multiply the powers, this illustrates that we gave to add the powers. This will be:

Evaluate (-3)^8 × (-3)^9

Note that 8 + 9 = 17. Therefore,

Evaluate (-3)^8 and (-3)^9

= -3^17.

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Evaluate (-3)^8 × (-3)^9

Answer:

Step-by-step explanation: I cant do the tree Diagram, however, I will help if you flip a coin (Heads or tails) The chances of it landing on heads will divide by 2 every time its heads or tails again and vise versa .

The lottery's anticipated worth is $80.

Given that,

The probability of receiving $125 is 0.25; the likelihood of receiving $100 is 0.3; and the likelihood of receiving $50 is 0.45.

A) EV=125*.2+100*.3+50*.5=$80

The lottery's anticipated worth is $80.

The expected value is obtained by multiplying each result by its likelihood.

The expected value of the lottery is then calculated by adding up all of these.

This is what we have: ;;

125(0.2) + 100(0.3) + 50(0.5) (0.5)

= 25 + 30 + 25 = $80

B) This is the formula for variance is shown in figure :

So, we can calculate the variance as follows:

.2*(125-80)^2+.3*(100-80)^2+.5*(50-80)^2=975

C) A risk-neutral person would pay $80 or less to play the lottery.

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Answer:

Step-by-step explanation:

Expected value of the lottery is $83.75.

Variance of the outcome is 909.6.

A risk-neutral person would pay $83.75 or less to play the lottery.

a) The expected value is obtained by multiplying each result by its likelihood.

The expected value of the lottery is then calculated by adding up all of these.

This is,

125(0.25) + 100(0.3) + 50(0.45)

          = $83.75

b) we can calculate the variance as follows:

Variance=.25*(125-83.75)^2+.3*(100-83.75)^2+.45*(50-80)^2=909.6

c) A risk-neutral person would pay $83.75 or less to play the lottery.

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$139,450

==========================================================

Explanation:

asset = an item that is either cash or can be turned into cash

liability = something that needs to be paid back (eg: truck loan)

A = total assets

A = (homeValue) + (workEquipment) + (carValue) + (investments)

A = ( $175,742 ) + ($3,365) + ($44,346) + ($61,225)

A = $284,678

B = total liabilities

B = (mortgage)+(credit card balance)+(truck loan)

B = ($76,765)+($2,055)+($66,408)

B = $145,228

C = net worth

C = A - B

C = ($284,678) - ($145,228)

C = $139,450 which points us to choice A as the final answer.

The net worth of the carpenter is $144,633.

Given that, Home value = $175,742, Mortgage = $76,765, Credit card balance = $2,055, Owned work equipment = $3,365 and Car value = $44,346.

Net worth is the value of all the non-financial and financial assets owned by an individual or institution minus the value of all its outstanding liabilities.

Here,

Net worth = Financial assets - Liabilities

= (175,742+3,365+44,346) - (76,765+2,055)

= 223,453 - 78,820

= $144,633

Therefore, the net worth of the carpenter is $144,633.

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Answer:

50.126

Step-by-step explanation:

hope this helps

The solution is 50.126

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

100 times my number is 12.6 more than 5000

Let the number be x

100 times the number = 100x

Now, 100x is 12.6 more than 5000

100x = 5000 + 12.6

100x = 5012.6

Divide by 100 on both sides , we get

x = 50.126

Hence , the solution is 50.126

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The missing reasons are for the given two triangles VXW and VYZ are found.

The missing reasons for the following proof are -

Thus, the missing reasons are for the given two triangles VXW and VYZ are found.

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The radius of the cylinder is 5 m and the height is 0.5 m.

Then, the total surface area is

So, the surface area is

Now, the volume is

So, the volume of the cylinder is 39.27 cubic meters.