Simplify (9-2a)-(4+3a) ​

The total area of the shape is 102 cm².

Given that, two rectangles with dimensions L1=15 cm, B1=6 cm, L2=4 cm and B2=3 cm.

The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimetres, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle.

We know that, the area of a rectangle = Length × Breadth.

So, the area of rectangle1 = 15 × 6 = 90 cm²

The area of rectangle2 = 4 × 3 = 12 cm²

Total area = 90+12 =102 cm²

Therefore, the total area of the shape is 102 cm².

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The number of possible outcomes is 81

Count of Outcomes :

In the domain of Statistics, the number of possible outcomes for a given help in determining the overall size of the universe of outcomes. From such a universe, one can ascertain the probability or likelihood of desirable outcomes in terms of percentage or fraction.

Let's come to the solution of the question:

Here, the number of possible outcomes for each game is 3 (win, lose, tie).

The total number of possible outcomes is given by:

= Number of outcomes for 1st game * Number of outcomes 2nd game

= 3*3*3*3

=81

Hence, The number of possible outcomes is 81

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The Original price of the meal was $12.16.

Discount Percent is defined as the discount given on the product per hundred .

For Example . if there is 10% discount on a price of $100.

The final amount will be $90.

Final amount paid by Fiona = $8.25

percentage discount = 10%

Let the original amount be x.

According to the question ;

x - 10% of x = 8.25

[tex]x-\frac{10}{100} *x=8.25\\ \\ \frac{100x-10x}{100} =8.25\\ \\ \frac{90x}{100} =8.25\\ \\ x=\frac{8.25*100}{90}\\ \\ x=\frac{825}{90} \\ \\ x=9.16[/tex]

Since Fiona also had a discount coupon of  $3.

The original amount will be $9.16+$3=$12.16.

Therefore , The original price of the meal was $12.16.

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Reason:

HCF = highest common factor

8 = 4*2

12 = 4*3

Both have 4 in common, and this is the largest such factor.

You can use factor trees as an alternative method.

Answer:

Step-by-step explanation:

12 = 12 + v - (8/2)

12 = 12 + v - 4

12 - 12 = v - 4

v = 4

The accurately captures a system's gravitational potential energy:

ME = KE + GPE.

Gravitational potential energy is the energy that an object possesses or acquires as a result of a change in its position when it is in a gravitational field. In layman's terms, gravitational potential energy is energy that is tied to gravitational force or gravity.

The energy held in an object due to its height above the ground is known as gravitational potential energy. It is determined by the object's mass, the gravitational acceleration caused by the Earth, and the object's height. Kinetic energy is the energy that an object possesses as a result of its motion.

An object's mechanical energy is equal to the sum of its kinetic energy and potential energy. If ME is mechanical energy and KE is kinetic energy, then PE is its potential energy.

ME = PE + KE

KE = (1/2) mv^2

PE = ME - KE

PE = ME - 1/2(mv²)

PE = ME - 1/2(mv²)

PE = ME - KE

ME = KE + GPE

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Answer:

B

Step-by-step explanation:

ME equals the sum of KE and GPE

∫dF=F(x,y)=12ax2+bxy+12ℓy2+c=0 is the exact ode.

Specifically, an exact equation is a differential equation that can be solved instantly without the aid of any specialized methods. If the result of a straightforward differentiation, a first-order differential equation (of one variable) is referred to as an exact differential or exact differential. The equation

P(x, y)dy/dx + Q(x, y) = 0,

or in the equivalent alternate notation

P(x, y)dy + Q(x, y)dx = 0,

is exact if

∂P(x, y)/∂x =  ∂Q(x, y)/∂y

In this instance, a function R(x, y) will exist whose partial x-derivative is Q and partial y-derivative is P, and whose equation R(x, y) = c (where c is constant) will implicitly establish a function y that will satisfy the initial differential equation.

An exact ODE is one where the equation can be written as  dF=0  for some  F(x,y). Expanding using chain rule, this means an equation of the form

∂1Fdx+∂2Fdy=0

Now if the second partials of  F  exist and are continuous, they must be equal due to Clairaut. So, given an equation

Mdx+Ndy=0

if we have

∂2M=∂1N

then there is an  F  such that

M=∂1F, N=∂2F

and hence that equation is exact, and the solution is simply

∫dF=0

We have

M=ax+by⇒∂2M=b

N=kx+ℓy⇒∂1N=k

so to be exact, we must have that  b=k .

Then, integrating  M  and  N , we have

F(x,y)=∫Mdx=12ax2+bxy+g(y)

F(x,y)=∫Ndy=bxy+12ℓy2+h(x)

and comparing these two, we can see that

∫dF=F(x,y)=12ax2+bxy+12ℓy2+c=0

is a solution to the equation for any  a,b,c,ℓ . You can solve for  y  by quadratic methods.

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The multiplicative rate of a change of the function is 0.5

To solve this question, look at the y coordinates. To get from 10 to 5, and from 5 to 2.5, you divide them by 2. In other words, you multiply them by 0.5. So, the multiplicative rate will be 0 .5.

if we want to find the multiplication. The rate of change of a function, that just means we need to divide one item by the one that comes before it .

An exponential function is a nonlinear function that has the form of. y=abx,wherea≠0,b>0. An exponential function with a > 0 and b > 1, like the one above, represents an exponential growth and the graph of an exponential growth function rises from left to right,this is the multiplicative rate in exponential function.

You can also calculate exponential growth using the formula f(x) = a(1 + r)x, where:

The f(x) term represents the function.

The a variable stands for the beginning value of your data.

The r variable represents the growth rate.

The x variable is the time interval.

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A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;

c + f = 13

200c + 650f = 4400

where; c is the number of cans of soup and f is the number of frozen dinners.

Let us denote c as the number of cans of soup and f is the number of frozen dinners.

The total number of items is 13 and so, we can write;

c + f = 13

The total amount of sodium is 4400 mg.  Each can of soup has 200 mg, and each frozen dinner has 650 mg.

200c + 650f = 4400

We can use substitution or elimination to solve the equation for c and f but we are not asked to find it. Thus, we will conclude that;

A system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased is;

c + f = 13

200c + 650f = 4400

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Answer:

Step-by-step explanation:

11970658976

The Slope of the line q is 7/3

Given that  a line “p” has a slope [tex]\frac{7}{3}[/tex] , another line “q” is given which is parallel to line “p”, and asked the slope of line “q”

Parallel lines:

Parallel lines are two or even more lines that lie on the same plane but never intersect. They are equal in distance and have the same slope.

The slope of parallel lines are equal so, the slope of line “p” is equal to the slope of line “q”

The slope of line “p”=slope of line “q”

Given that the slope of line “P”=[tex]\frac{7}{3}[/tex]

therefore, The slope of the line q is [tex]\frac{7}{3}[/tex]

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The 55 miles can be written as 24.4m/s.

A Rate is a special kind of ratio that is used to show the comparison of two different units of measurments. a ratio compares the same units

A rate is a ratio because it compares two numbers yet a ratio cannot be a rate because it only compares the same unit.

one common type of rate is per unit time

1 mile has 1600 meters.

distance= 55×1600= 88000m

Time= 1 hour= 3600 second.

speed is euqal to distance upon time.

88000÷ 3600 = 24.4m/s

so the 55 miles can be written as 24.4m/s.

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The cost of the carpet will be $983.33

From the question, we are to calculate how much the carpet will cost

From the given information,

The carpet has a length of 20 feet

and a width of 15 feet

First, we will covert the dimension to yard

NOTE: 1 foot = 1/3 yards

Thus,

20 feet = 20/3 yards

and

15 feet = 15/5 yards = 5 yards

Now, we will calculate the area of the carpet

Using the formula,

Area = Length × Width

Area of the carpet = 20/3 × 5 square yard

Area of the carpet = 33.33 square yard

Now, we have that

The carpet costs $29.50 per square yard

∴ The cost of the carpet = 20/3 × 5 × $29.50

The cost of the carpet = $ 983.33

Hence, the cost of the carpet will be $983.33

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Answer:

80

Step-by-step explanation:

We have a specific formula for the Surface Area of a Pyramid.

Which is= A+1/2ps ))))

1. A stands for the Area of the base. let's find our area! (This is length x width)

So this is 4x4=16

2. Now, P stands for PERIMETER of the base, which means we add all of the sides together. That would be 4+4+4+4=16.

3. Finally, S stands for Slant Height. Which is eight inches.

Lets plug our numbers in!

4. Now we get a sparkly, full formula! 16+1/2x16x8

5. 16+1/2x128

6. 16+64

7. 80

if this answer is wrong, dislike it/report it!
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Answer:

Step-by-step explanation:

your graph will love to the left one (x+1) makes it move left one and it will move up 2 which is the +2

The value of x determined by Angle addition postulate is (x = 25).

As per the given questions;

The two angles are given as;

∠ABD = 5x + 10

and ∠DBC = 2x - 5

By the angle addition postulate;

The sum of both the angles will be 180.

Put the values;

∠ABD +  ∠DBC = 180

5x + 10 + 2x - 5 = 180

Simplifying;

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 25.

Thus, the values of x is determined as the (x = 25).

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The correct question is-

Find the value of x Angle addition postulate, when the value of two angles are-

(5x + 10) and (2x - 5)

177.78 is the present value of $200 received in one year.

What do interest rates mean?

What is an example of interest rates?

The basic interest formula is as follows, for instance, if you take out a $20,000 loan with a five-year term and a 5% interest rate: $5,000 in interest results from multiplying $20,000 by.05 by 5.

PV=FV *  (1+i)^-n

=200\1.125

= 177.78

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Answer:

3y+7y=4-6

10y= -2

y= -2÷10

y =1/2

Ans

Answer:

Step-by-step explanation:

the answer is simply 2

Answer:

yes

Step-by-step explanation:

28/4 = 7 teams

1 is left without a team

A alvin makes 3,200 and spends 701 each month leaving 2,499.

The average can be calculated by dividing the sum of observations by the number of observations.

Average = Sum of observations/the number of observations

It is Given that alvin has done research and found that he spends an average of $123 on his phone/internet/cable service, $213 on his electric bill, and $270 on his health insurance premium.

Subtract expenditures from earnings;

= 3200 - (178 + 203 + 320)

= 3200 - 701

= 2499

Thus, Grant will have $2,499 after paying these bills each month

Therefore, alvin makes 3,200 and spends 701 each month leaving 2,499.

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30 miles will a person travel in order to spend an equal amount of money using either service.

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

Better taxi service charges $3.00 for the first mile plus $0.20 for each additional mile.

Best taxi service charges $6.00 for the first two miles plus $0.10 for each additional mile.

So, if equal amount of money spends on both services

3+0.2x = 3(2)+0.1x

3 +0.2x = 6 +0.1x

0.2x - 0.1x = 6-3

0.1x = 3

x = 30 miles

Hence, 30 miles will a person travel in order to spend an equal amount of money using either service.

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Please Mark as Brainliest

Answer:

Brian is 5, and Sharon is 10

Step-by-step explanation:

CURRENT AGES:

  Let   b = Brian's age

  Let 2b = Sharon's age

5 YEARS FROM NOW:

  b + 5 = Brian's age

  2b + 5 = Sharon's age

  The sum will be 25

  b + 5 + 2b + 5 = 25

  3b + 10 = 25

  3b = 15

   b = 5

So Brian is 5, and Sharon is 10

The points t will also be in between line segment sv.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given that,

Point k is in between of j and l

Since the length of the line segment sv is equal to jl and t is the midpoint of sv so jk will be equal to the st.

Hence "The points t will also be in between line segment sv".

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Answer:

7 5/6

Step-by-step explanation:

Reverse the operation

[tex]-2\frac{1}{3} - -10\frac{1}{6} = 2\frac{1}{3} + 10\frac{1}{6}\\= 2-\frac{1}{3} + 10+\frac{1}{6}\\-2 + 10 = 8(2 - 10)\\-\frac{1}{3} +\frac{1}{6}\\-\frac{2}{6}(x2) +\frac{1}{6}\\= -\frac{1}{6}\\8-\frac{1}{6}\\= 7\frac{5}{6}[/tex]

Answer: -sinx

the derivative of f(x)f(x) with respect to x is the function f′(x)f′(x) and is defined as,

f’(x) = lim h tends to 0 [ f(x + h) – f(x) / h ]

A function f(x)f(x) is called differentiable at x=ax=a if f′(a)f′(a) exists and f(x)f(x) is called differentiable on an interval if the derivative exists for each point in that interval.

y = cos(x) + a^3

differentiating both sides with respect to x

dy / dx = d/dx (cosx)  +  d/dx (a^3)

by basic differentiation we know that

d/dx of cosx  = -sinx

and differentiation of a constant is 0

therefore,

dy / dx = -sinx + 0

dy / dx = -sinx

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Answer:

x^32

Step-by-step explanation:

Multiply the exponents in (x4)8.

Answer:

the answer is =15

Step-by-step explanation:

12+18=30

30÷2

=15//