Simplify the expression: 2( 5 t + J) + 3( 2t + 4 J )

Answer:

3 in

Step-by-step explanation:

Sum of all sides of ∆ = perimeter

Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:

[tex] x - 5 + \frac{x}{2} + 6 = 13 [/tex]

Solve to find the value of x

[tex] \frac{2x - 10 + x + 12}{2} = 13 [/tex]

[tex] \frac{3x + 2}{2} = 13 [/tex]

Multiply both sides by 2

[tex] \frac{3x + 2}{2}*2 = 13*2 [/tex]

[tex] 3x + 2 = 26 [/tex]

Subtract 2 from both sides

[tex] 3x + 2 - 2 = 26 - 2 [/tex]

[tex] 3x = 24 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{24}{3} [/tex]

[tex] x = 8 [/tex]

The shortest side = (x - 5) in

Plug in the value of x

= (8 - 5) in

= 3 in

Answer:

no

Step-by-step explanation:

u can cut the trapesoid in half and make it into a rectangle then get ur answer

Answer:

The number N of bacteria in a refrigerated food is given by N(T) = 10T^2 - 20T + 600, 2 ≤ T ≤ 20 where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by T(t) = 3t + 2, 0 ≤ t ≤ 6 where t is the time in hours.

Step-by-step explanation:

Answer:

-75.5 I think

Step-by-step explanation:

-0.5x-0.25=-38

add 0.25 on both sides.

-0.5=-37.75

-75.5

Answer:

now we need to find x

x will be found by finding what you have to multiply to get to 38

-0.25 x 152=  -38 so x= 152

Answer:

[tex]\huge\boxed{f^{-1}(x) = \frac{7x-5}{3}}[/tex]

Step-by-step explanation:

Given the function:

[tex]f(x) = \frac{3x+5}{7}[/tex]

Put f(x) = y

[tex]y = \frac{3x+5}{7}[/tex]

Interchange x and y

[tex]x = \frac{3y+5}{7}[/tex]

Solve for y

[tex]x = \frac{3y+5}{7}[/tex]

Multiplying both sides by 7

[tex]7x = 3y+5[/tex]

Subtracting y to both sides

[tex]7x-5 = 3y[/tex]

Dividing both sides by 3

[tex]\frac{7x-5}{3} = y[/tex]

OR

[tex]y = \frac{7x-5}{3}[/tex]

Put y = [tex]f^{-1}(x)[/tex]

So,

[tex]f^{-1}(x) = \frac{7x-5}{3}[/tex]

Hope this helped!

Answer:

Its letter B

Step-by-step explanation:

Answer 153

Step-by-step explanation:

There are 388 pencils. Jake takes away 235 how much does he have left.

Answer: jake has 388 pencils and you took 235 away from him. How many pencils does he have?

Step-by-step explanation:

Answer

Least to Greatest order by options: 3, 2, 4, 1

Step-by-step explanation:

Option 3 is 1/2 therefor its 0.5

Option 2 is 4.4

Option 4 is 10

Option 1 is 13.14

And that's put in least to greatest order.

angle BGC and angle BAD

Answer:

gsscxcccvvccc aaaaawaaq

Answer:

x = 6

Step-by-step explanation:

Here it's sayin that Q is a point in between the end-points P & R. If we join P & R , it forms a line segment & Q is in the line segment PR. Hence PQ & QR are also line segments which combine to form line segment PR. So ,

PR = PQ + QR

Putting the given values of PQ ,QR & PR

=> 4x - 12 + 2x + 7 = 31

=> 6x - 5 = 31

=> 6x = 31 + 5

         = 36

=> x = 36/6 = 6

Answer:

is 26 bc i had misclicked it on edge and got it right

The measure of AC is 26 units.

Hence, option (C) is correct.

A closed quadrilateral is a form of polygon with four sides, four vertices, and four angles. Four non-collinear points are joined to create it. Quadrilaterals' internal angles add up to a constant 360 degrees.

In the given quadrilateral,

Side AD = 8X - 1, CD = 6X + 9

And  AB = 3x - 2

According to given diagram,

AD = CD

8x -1 = 6x + 9

2x = 9 + 1

2x = 10

x = 5

The length of side AB = 3x - 2 = 3 (5) - 2 = 15 - 2 = 13

The figure ABCD is a symmetrical figure,

Therefore,

AB = BC

AB = BC = 13

The required side AC = AB + BC

= 13 + 13

= 26

The length of the side AC is 26 units.

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Answer :    x=−5

Step-by-step explanation: Step 1: Simplify both sides of the equation.

−3−3x=−4(2x+7)

−3+−3x=(−4)(2x)+(−4)(7)(Distribute)

−3+−3x=−8x+−28

−3x−3=−8x−28

Step 2: Add 8x to both sides.

−3x−3+8x=−8x−28+8x

5x−3=−28

Step 3: Add 3 to both sides.

5x−3+3=−28+3

5x=−25

Step 4: Divide both sides by 5.

5x /5 =  −25 /5

x=−5

Answer:

x=−5

Answer:

y(t) = 460(0.94)^t

Step-by-step explanation:

Use the basic exponential decay form, Y = a(1 - b)^x, where a is the starting amount/y-int, b is the growth/decay rate, and x is amount of time/periods.

Plug in the values we know:

y(t) = 460(0.94)^t will be the exponential model

The exponential model y(t) with the given properties should be considered as the [tex](t) = 460(0.94)^t[/tex].

Since

The initial value is 460, and there is a 6% decrease each period.

So here we use the basic exponential decay form i.e.

[tex]Y = a(1 - b)^x,[/tex]

here a is the starting amount

y is interest

b is the growth/decay rate,

and x is amount of time/periods.

So,

[tex]y(t) = 460(0.94)^t[/tex]

hence, The exponential model y(t) with the given properties should be considered as the [tex](t) = 460(0.94)^t[/tex].

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Answer:

Domain: All Real Numbers or (-∞, ∞)

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that any value of x can be plugged into the function.

∴ Our answer is all real numbers

Answer:

Its the same because you add 12 to the first one, then you take back the 12. So its like you added nothing. And in the second one, you add zero

Step-by-step explanation:

Answer:

because that is equivalent to the not operator

Answer:

[tex]-1^{3}[/tex]

Step-by-step explanation:

Answer:

Simplified -1^3, Solution: -1

Step-by-step explanation:

Since you have to multiply -1*-1*-1 then the answer would be -1. Simply because when simplifying the equation -1*-1 is 1 (remember that when multiplying two negatives it adds to a positive). Then you multiply 1*-1 which comes out to be -1 as the answer. I hope this helps, if you need further explanation please comment below.

Answer:

43°

Step-by-step explanation:

Angles A and B are supplementary

i. e. angle A + angle B =180°

137° + angle B =180°

angle B=180°-137°

=43°

The required area of tortilla is 16π square inches.

What is an area of a circle?

Area of a circle is defined as the region occupied by the circle in two-dimensional plane.

Mathematically,

                         A = π (d/2)²

where d is the diameter of circle

or,                      A = π r²  

where r is the radius of circle.

Now, given diameter of tortilla is 8inches.

⇒ d  = 8inches

Since,tortilla is a circle

So, area of tortilla A = π (d/2)²

⇒ A = π (8/2)²

⇒ A = π (4)²

⇒ A = 16π square inches

Hence, required tortilla's area is 16π square inches.

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Answer:

x = - 4 or x = 20

Step-by-step explanation:

Given R is the midpoint of AM, then

RA = MR , substitute values

x² - 16x = 80 ( subtract 80 from both sides )

x² - 16x - 80 = 0 ← in standard form

(x - 20)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 20 = 0 ⇒ x = 20

x + 4 = 0 ⇒ x = - 4

Answer:

6 quarters and 9 nickels

Step-by-step explanation:

alright so this took me like an hour or two to figure out cause I'm stubborn. but I wanted to give an in depth answer

..

1) first we need to know how to write it.

___=___+___

1.95 is the full value of all of the coins so it goes here. (___)=___+___

1.95=___+___

We will use q for number of quarters and n for number of nickels. the value of a quarter .25 and the value of a nickel is .05. put the value of a quarter here. ___=(___)+___

1.95=.25q+___

we will put the value of the nickel here ___=___+(___)

1.95=.25q+.05n

now that we know how to write it, we can move onto step two.

2) figuring out what variable n is

n=___

Since we know that there are three more nickels than quarters, we can start to solve this equation.

n=q+3

3) change (n) to (q+3). dont forget to use parenthesis!

1.95=.25q+.05(q+3)

4) i forget what its called but multiply .05 throughout your parenthesis. ill show you.

1.95=.25q+.05(q+3)

                  .05*q= .05q and .05*3=.15

1.95=.25q+.05q+.15

5) add variables together.

1.95=.30q+.15

6) subtract .15 from both sides to get rid of it.

1.95=.30q+.15

-.15            -.15

1.80=.30q

7) divide .30 from both sides to isolate the q and get the answer of quarters

1.80=.30q

/.30 /.30

6=q

8) add three to the number of quarters to get the number of nickels.

6+3=9 nickels

Here we need to create and solve a system of equations to find the number of coins in the piggy bank.

We will see that there are 6 quarters and 9 nickels.

let's define the variables:

x = number of nickels in the piggy bank

y = number of quarters in the piggy bank.

Knowing that the total value of the coins in the piggy bank is $1.95, then we have:

x*$0.05 + y*$0.25 = $1.95

We also know that there are 3 more nickels than quarters, then we also have:

x = y + 3

Then the system of equations is:

x*$0.05 + y*$0.25 = $1.95

x = y + 3

To solve this, we can see that x is isolated in the second equation, so we can replace it in the other equation to get:

(y + 3)*$0.05 + y*$0.25 = $1.95

Now we can solve this for y:

y*$0.05 + 3*$0.05 + y*$0.25 = $1.95

y*$0.30 + $0.15 = $1.95

y*$0.30 = $1.95 - $0.15 = $1.80

y = ($1.80)/($0.30) = 6

So we have 6 quarters.

Then the number of nickels is given by:

x = y + 3 = 6 + 3 = 9

x = 9

There are 9 nickels.

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Answer:

21

Step-by-step explanation:

(p)=37-16

Answer:

35.225 I believe

Step-by-step explanation:

You can always check on Slader.

answer: when you take 5280 feet times two (2 miles) and then divide by three you get 3,520 feet

Answer: [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

When you multiply fractions, it is the same as adding or subtracting, but you don't have to worry about having a common denominator. All you have to do is multiply straight across and simplify.

[tex]\frac{4}{3}*\frac{2}{3} =\frac{8}{9}[/tex]

Now we know the answer is [tex]\frac{8}{9}[/tex].

Answer:

8/9

Step-by-step explanation:

The answer is 8/9 because:

1) Whenever we multiply fraction, we have to multiply the numerator and the denominator together: numerator x numerator/denominator x denominator

2) Therefore, 4 x 2/ 3 x 3 = 8/9

Hope this helps! :D

To find the perimeter, we must add together the length of each side.

The tick mark on the lines means they are equal, so that means we have two lines that are equal to 10

26 + 10 + 35 + 5 + 10 + (38 - 10) = 114"

Answer:

7 1/3

Step-by-step explanation:

the 7 stays but 9/27 can be simplified into 1/3 because you divide both 9 and 27 by 9