work out the area of the shape

The value of 2B+ 2A -2t + 20.

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

Given:

B=-2t+1

A=t+9

we have to find the expression that is equivalent to 2A + 2B

so,

2A + 2B

=2( t + 9) + 2( -2t + 1)

=2t + 18 - 4t +2

=2t - 4t + 18 +2

=-2t + 20

Hence, the value of 2A + 2B = -2t + 20

Learn more about algebra here:

https://brainly.com/question/13715639

#SPJ1

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

Work Shown:

A+B = 180 since the angles are supplementary

(2x-9)+(2x+21) = 180

4x+12 = 180

4x = 180-12

4x = 168

x = 168/4

x = 42

Then,

As a check, A+B = 75+105 = 180 to confirm the answer.

Answer:8

Step-by-step explanation: 8 *2=16-5=11

Answer:

Prime Factorization is 2x2x3x3 also can be written as [tex]2^2x3^2[/tex]

Step-by-step explanation:

Take Lcm Of 36 (Lowest Divisible)

2 | 36

2 | 18    -> Prime Factorization is 2x2x3x3 also can be written as [tex]2^2x3^2[/tex]

3 | 3
3 | 3

  | 1

- If it did help please mark as brainliest

The inequality is 16 + 5t ≥ 61 and it takes 9 minutes or more minutes to fill the tank with at least 61 liters of waters.

Inequality:

Inequality is defined as a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given,

Latoya's fish tank has 16 liters of water in it. she plans to add 5 liters per minute until the tank has at least 61 liters.

Here we need to find the possible numbers of minutes Latoya could add water and we have to find the inequality also.

Let t be the number of minutes.

So, now we can start with 16 liters and every minute (t) you plan to add 5, the final product will have at least (≥) 61 so the equation would be:

=> 16 + 5t ≥ 61

=> 5t ≥ 61 - 16

=> 5t ≥ 45

=> t ≥ 45/5

=> t ≥ 9

So, Latoya need 9 minutes or more to fill the tank with at least 61 liters.

To know more about Inequality here

https://brainly.com/question/20383699

#SPJ4

Answer: 1/5

Step-by-step explanation: 3/15 divided by 3= 1/5

The answer is 1/5.

First, You have to figure out if there are any numbers that go into both the numerator and denominator evenly.

This number, in this problem, would be three.

This is because 3/3=1 and 15/3=5.

Given that it asks for a fraction in the simplest form, we of course have order those numbers as numerator and denominator.

The three is the numerator, or, above the fifteen, or the denominator.

This must mean that the one is the numerator.

Because the 1 is the numerator, that must mean the 5 is the denominator, which brings us to the answer.... 1/5

Answer:

The answer are given below:

Step-by-step explanation:

1. Roaster form

A={0,1,2,3,4}

Set builder form

A={x: x⊂ w, x<5}

2.

Roaster form

B={2,3,5,7,11,13,17,.................}

Set builder form

B={x: where x is a prime number}

3.

Roaster form

C={jan ,june ,july }

Set builder form

C={x: x is month starting with "J" }

4.

Roaster form

D={4,6,8,9}

Set builder form

D={x: where x is a prime number, x<10}

5.

Roaster form

E={null}

Set builder form

E={x: x is null}

learn more about set from here

https://brainly.com/question/28492445

#SPJ9

Answer:

the answer is =15

Step-by-step explanation:

12+18=30

30÷2

=15//

Answer:

Step-by-step explation; c2 + c2 -3c + 5c + 3 - 2

                                        = 2c2 + 2c +1

If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.

P(A) + P'(A) = 1

The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ4

Answer: KCF

Step-by-step explanation: Using this method (just kinda changed?) first change the mixed numbers to improper fractions by multiplying the denominator with the whole number, and adding the numerator to that. Then add a /1 to the regular whole numbers (or the 2nd part of the question) simply multiply both to get the improper fraction. Change into a mixed number as you wish.

The equation of the line i slope intercept form is y = 4x - 22.

Slope is the amount a point moves in y axis upon the amount a point move in x axis.We can also say that slope is rise over run.

According to the given question we have to  an equation of line that passes through (5,-2) and (7,6) in slope intercept form.

We know equation of a line in slope intercept form is y = mx + b.

Two points are given (5,-2) = (x₁,y₁) and (7,6) = (x₂,y₂) and we know              slope (m) = (y₂ - y₁)/(x₂ - x₁).

∴ slope (m) = { 6 - (-2) }/( 7 - 5)

  slope (m) = 8/2

  slope (m) = 4.

Now the equation can be written as

y = 4x + b.

Putting any of the given pair of points for x and y in y = mx + b.

6 = 4(7) + b

6 = 28 + b

b = - 22.

∴ The required equation is y = 4x - 22.

learn more about lines here :

https://brainly.com/question/14511992

#SPJ4

Answer: It should be 4

Step-by-step explanation:

Just plug in 1 for t, t=1

In linear equation, -7 m - 2 is number makes the expression equivalent.

What in mathematics is a linear equation?

Given expression is  1/2 (-14m+ 4 )

To simplify this expression  1/2 (-14m+ 4 ) we get equivalent expression.

Multiply and Divide the expression by two.

⇒ -14m/2 + 4/2

To simplify the expression again, we get,

⇒ -7 m - 2

So, we found the coefficient of m is -7

The missing number is -7

Hence, –0.7 makes the expression equivalent.

Therefore,1/2 (-14m+4) = -7 m - 2

Learn more about linear equation

brainly.com/question/11897796

#SPJ9

Answer:

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

Given AP:

We observe that:

Let the three terms be aₙ, aₙ₊₁, aₙ₊₂.

Use nth term formula:

The following two terms are:

Their sum is 111, set an equation and solve for n:

The three terms are 9th, 10th and 11th terms and they are:

Answer:

The last one -4÷0 cannot be answered

Step-by-step explanation:

Answer:

-4/0

Step-by-step explanation:

This is an undefined answer, due to the fact that it would come out as:

0.00000e00000

This would be an undefined problem.

Answer:

6j^2 - 2j = 9

j^2 -(2/6)j = 9/6

j^2 - (2/6)j + 1/36 = 9/6 + 1 /36

(j - 1/6)^2 = 55/36

j - 1/6 = √55/36

j = (√55/36) + 1/6

j = 1.40

Step-by-step explanation:

step 1 transpose 9 and it becomes positive.

step two divide everything by 6 so that j^2 has a coefficient of 1.

step 3 make a perfect square.

Then it's just simple calculations to get the answer

Disclaimer:

The equations were not given in the question.

So, take random examples for the functions f(x) and g(x) to simplify.

f(g(x)) denotes the composition function.

Important note:

After computing the composition function we must define the domain of the new function.

Example 1:

f(x) = x² and g(x) = x + 4, here the domain of f and g is the set of all real numbers.

⇒ f(g(x)) = f(x + 4) = (x + 4)²

⇒ f(g(x)) = x² + 8x + 16

This new function is also defined for all the real numbers.

Example 2:

f(x) = 5/x and g(x) = x² - 4, here the domain of g is the set of all real numbers and the domain of f is the set of all real numbers except x=0.

⇒ f(g(x)) = f(x² - 4)

⇒ f(g(x)) = 5/(x² - 4) = 5/((x - 2)(x + 2))

The domain for the new function is the set of all real numbers except x=2 and x=-2.

Learn more at:

https://brainly.com/question/10687170

#SPJ9

Answer:

There are many exponents that will give you 8.

I will list a few for you. :)

→ 2³

→ 8¹

→ [tex]\sf 4^{1.5}[/tex]

Hope this helps.

The value of measure of ls is 126 degrees.

It is given in the question that the measure of two supplementary angles, ls and lt, are in the ratio of 7:3.

We have to find the value of measure of ls.

Let the measure of two supplementary angles ls and lt be 7x and 3x respectively.

We know that, the sum of measure of  two supplementary angles is 180 degrees.

Hence, according to the data given in the question, we can write,

7x + 3x = 180 degrees

10x = 180

x = 180/10

x = 18 degrees

Hence,

mls = 7x = 7*18 = 126 degrees.

To learn more about supplementary angles, here:-

https://brainly.com/question/13045673

#SPJ4

Answer:

M&M's for =Rs.8 per bag

Both team sells a total 240 of a total of Rs.1614

Now

The total of both =1614-240=1374

The basketball team sold 102 packages of licorice and 138 bags of M&M's.

Given that the packages of licorice sold for $5 per package and that of the bags of M&M's for $8 per bag.

The total selling was total of 240 of both for a total of $1614.

We need to find the number of packages of licorice and bags of M&M's were sold.

Let's assume that the number of packages of licorice sold is represented by the variable "L" and the number of bags of M&M's sold is represented by the variable "M."

From the given information, we have two pieces of information to form equations:

The total number of packages and bags sold: L + M = 240

The total revenue from selling these items: 5L + 8M = 1614

Now, we can solve these two equations simultaneously to find the values of L and M.

First, let's solve the first equation for one of the variables (let's solve for L):

L = 240 - M

Now, substitute this expression for L in the second equation:

5(240 - M) + 8M = 1614

Now, distribute the 5:

1200 - 5M + 8M = 1614

Combine the M terms:

3M = 1614 - 1200

3M = 414

Now, solve for M:

M = 414 / 3

M = 138

Now that we know the value of M, we can find the value of L using the first equation:

L = 240 - M

L = 240 - 138

L = 102

So, the basketball team sold 102 packages of licorice and 138 bags of M&M's.

Learn more about System of linear equations click;

https://brainly.com/question/20379472

#SPJ7

Ivory's scaled counterpart has a 48-square-unit area.

Ivory's scale factor for producing their scaled replica is;

On the graph, one interval corresponds to four units of the rectangle. This ratio is 1:4.

We can see from the provided image that the rectangle's y-axis has three intervals and its x-axis has one interval.

Now, the picture informs us that the scaled copy's area is 48 square units.

This indicates that the triangle she is attempting to depict with that graph has an area of 48 square units.

Now, if one of the graph's intervals is in units of x, then it indicates;

Y-axis: length; 3x units

size; x-axis equals x units

A rectangle's area is

based on the formula Area = Length Width, 3x [tex]\times[/tex] x = 48.

1 interval on the graph corresponds to 4 units of the rectangle because 3x2 = 48 x2 = 48/3 x2 = 16 x = 16 x = 4.

To learn more about  rectangle's area Visit : https://brainly.com/question/24770161

#SPJ9

Answer:

First number is -29.

Second number is -23.

Step-by-step explanation:

Num=second-6

2Num=3second+11

Substitution

2(second-6)=3second+11

2second-12=3second+11

Subtract 2second from 3 second and subtract 11 from -12

-23=second

Num=(-23)-6

Num=-29

Answer:

B

Step-by-step explanation:

Answer:

D.Moving left to right, the whole number stays the same, the tenths stay the same, and the hundredths decrease by 2.

Answer:

13.32

Step-by-step explanation:

7 + 2 [tex]\sqrt{10}[/tex]

= 13.32456

Rounded to nearest hundredth = 13.32

The correcting answer is - Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now the given mixed fraction is,

-0.6(5/6)

Now since 5/6 is a repeating decimal,

Therefore converting 0.6 into fraction, we get

0.6 = 6/10

Therefore, -0.6(5/6) = -(6/10)*(5/6)

Rearranging we get,

-0.6(5/6) = -(6/6)*(5/10)

⇒ -0.6(5/6) = -1*(5/10)

or, -0.6(5/6) = -(5/10)

simplifying 5/10 we get,

-0.6(5/6) = -(1/2)

Thus, the correcting answer is - Since 5/6 is a repeating decimal, Miguel should convert the decimal -0.6 to a fraction and multiply the fractions.

To learn more about fractions:

brainly.com/question/445498

#SPJ2

√17 unit is  the components of vector V .

what is components of vector?

A vector quantity has a magnitude and a direction as its two attributes. You must compare both the magnitude and the direction of two vector quantities of the same type.

The initial and terminal points of a vector v  are given by

(6, 3) and (2, 2).

Hence:

The component form of v is

V = ( 2 - 6) ( 2 - 3)

   = (  -4 , -1)

The length of the vector is

l v l = [tex]\sqrt{(-4)^{2} + ( -1)^{2} }[/tex]  = √17 unit

Learn more about components of vector

brainly.com/question/4179238

#SPJ9

Answer:

y=(3/4)x - (3/2)

Step-by-step explanation:

3x−4y=6

isolate the y variable

-4y=-3x+6

divide by -4

y=(3/4)x - (3/2)

it is equivalent because it is the same equation just in a different form