If a rectangle has a length of 3x + 5 and a width of x + 1, what is the perimeter

Answer:

32 cups

Step-by-step explanation:

1 cup= 1/16 gallon

? cup= 2 gallon ( crisscross)

⇒[tex]\frac{2*1}{\frac{1}{16} }\\ \frac{2}{\frac{1}{16}} \\2*16=32 cups[/tex]

Answer:

Adult's ticket is 7, child's ticket is 2

Step-by-step explanation:

Let adult's ticket be "x" and child's ticket be "y"

So, for family 1, the equation would be: 2x+3y=20

And, for family 2, the equation would be: 1x+4y=15

Use the substitution method in the second equation to know what x in terms of y is:

x + 4y = 15 (substact 4y from both sides)

x= 15 - 4y

Plugin y into the first equation:

2(15-4y)+3y=20 (distribute)

30-8y+3y=20 (simplify)

30-5y = 20 (get y by itself)

-5y = -10 (divide by -5)

y = 2

Now that you know the value of y (child's ticket), figure out x by plugging in 2 into any of the equations (I chose the second):

1x+4(2) = 15 (simplify)

x + 8 = 15 (subtract 8)

x = 7

Answer:

price of adult ticket=7 £

price of childrens' ticket =2  £

Step-by-step explanation:

let x be price for adult and y price for  for children

family 1 :  2x+3y=20

family 2:   x+4y=15

solve by eliminating : multiply equation 2 by (2) to eliminate x

2x+3y=20

2x+8y=30  

subtract the two equations:

2x+3y-2x-8y=20-30

-5y=-10

y=-10/-5

y=2( the price for children)

x+4y=15

x+4(2)=15

x=15-8

x=7 ( the price for adults)

check : 2x+3y=20

2(7)+3(2)=14+6=20

Answer:

n = 2.5

Step-by-step explanation:

We need to isolate n by first moving it to one side.

11n = 13n - 5

11n - 13n = -5

-2n = -5

n = -5/-2

n = 2.5

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Answer:

n = 5/2

Step-by-step explanation:

5 + 11n = 13n

5 = 13n - 11n

5 = 2n

n = 5/2

Check:

5 + 11*5/2 = 13*5/2

10/2 +  55/2 = 65/2

Answer:

V= 68.6 m/s

Step-by-step explanation:

height above the ground t seconds after it is dropped is 675-4.9t^2

For seven seconds

Height above ground= 675-4.9(7)²

height above ground= 675-240.1

Height above ground= 434.9 m

But it's dropped from a cliff and we need to find the distance traveled from the too of the cliff

Distance= 675-434.9.

Distance= 240.1

To determine it's speed

V²= U² +2gs

V= velocity we are looking for

U= initial velocity= 0

G= acceleration due to gravity= 9.8 m/s²

s= distance covered

V²= U² +2gs

V²= 0+2(9.8)(240.1)

V²= 4705.96

V= 68.6 m/s

Answer:

$176.50

Step-by-step explanation:

Take each room type and multiply the number of rooms by the price of the room. Add the total for prices and add the total for the number of rooms. Divide the total prices by the total number of rooms.

Type of room   Number Cost    Total

Double queen 140      $200.00   $28,000.00  

King                  160       $150.00   $24,000.00  

Junior Suite          220      $100.00   $22,000.00  

Full business          285 $50.00    $14,250.00  

                                $500.00    $88,250.00  

Average cos per room                    $176.50  

Answer:

yes

Step-by-step explanation:

Answer:

  yes

Step-by-step explanation:

The standard form of a polynomial has the exponents decreasing left to right. Here, the exponents are 4, 3, 1, 0, so are decreasing left to right. The expression is in standard form.

Answer:

(x-12)/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]3+g = \frac{a}{3h} \\\\Cross\:Multiply\\\\3h(3+g) = a\\9h +3gh = a\\\\a = 3gh+9h[/tex]

Answer:

-1/5+(√3)/20i   or   -0.2+0.05√3i

Step-by-step explanation:

  [tex]\dfrac{-8+\sqrt{-12}}{40}=-\dfrac{8}{40}+\dfrac{2\sqrt{3}i}{40}=\boxed{-\dfrac{1}{5}+\dfrac{1}{20}\sqrt{3}\,i=-0.2+0.05\sqrt{3}\,i}[/tex]

_____

Comment on answer form

Satisfying the input format requirements of a computer is always problematic. One never knows if fractions or decimals are preferred, whether radicals must be simplified, and so on. If no clues are offered by general instructions, other questions, or previous experience, then it might be useful to consult your instructor.

[tex]10 \times 10 \times 10 \times 10 \times 10 = 2000[/tex]

[tex]6 \times 6 = 36[/tex]

= 2036n

Answer:

1/2

Step-by-step explanation:

Answer:

Use a graphing calc.

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

For the third equation, m = 2

y = 2x + b

3 = 3(2) + b

3 = 6 + b

b = -3

y = 2x - 3

Answer:

5

Step-by-step explanation:

6n -12 -8=22+8-4n

6n-20=30-4n

6n=50 -4n

10n = 50

5

Answer:

dx+9x+16d^2 dont know it it helps any but i tried

Step-by-step explanation:

Answer:

22 cookies

Step-by-step explanation:

A dozen items means 12 number of items.

Number of cookies brought by Sherry = No. of containers multiplied by number of cookies in one container

= 2 [tex]\times[/tex] 6 = 12

Number of cookies brought by Sally = A dozen cookies = 12

Number of cookies brought by Sandy = 2

Number of cookies brought by Sherry, Sally and Sandy together = 12 + 12+2 = 26

Total number of cookies to be brought = 4 dozen = 48 cookies

Number of cookies to be brought by Harry = Total number of cookies to be brought - Number of cookies brought by Sherry, Sally and Sandy together

48 - 26 = 22 cookies

Answer:

: 1: Exact form : v = - 1/27

: 2 : Decimal form : v = -0.037037037037037037037037...

Step-by-step explanation: Multiply the equation to remove your variable (v) from the denominator.

I hope this helps you out.

Answer:

[tex]0[/tex]

Step-by-step explanation:

[tex] \frac{1}{3}m - 1 - \frac{1}{2}n = \frac{1}{3}(21) - 1 - \frac{1}{2}(12) = 7 - 1 - 6 = 6 - 6 = 0[/tex]

Answer:

0

Step-by-step explanation:

1/3m - 1 - 1/2n
= 1/3(21) -1 1/2(12)
= 7 - 1 - 6
= 0

Answer:

Irrational Number

Step-by-step explanation:

The Venn diagram is not attached; However, the question can still be answered

Given

[tex]Number = 4\pi[/tex]

Required

What category of number is the given number

[tex]Number = 4\pi[/tex]

Substitute [tex]\frac{22}{7}[/tex] for [tex]\pi[/tex]

[tex]Number = 4 * \frac{22}{7}[/tex]

[tex]Number = \frac{4 *22}{7}[/tex]

[tex]Number = \frac{88}{7}[/tex]

[tex]Number = 12.5714285714......[/tex]

Notice that there's .... at the end of the number;

This implies that, the decimal number still extends

Numbers like 12.5714285714...... are categorized as irrational numbers because it can't be changed back to a fraction

Answer:

A. irrational number

Step-by-step explanation:

I took the test

Answer:

9

Step-by-step explanation:

Working backwards, the blank box between the 7 and 4 at the end must be 9 in order for the three digits to equal 20.  Then we see the pattern of 947 repeated.  The whole number would be 94794794794794.  That way, any three consecutive numbers would be 20.  The number in the box marked a would be 9.

Answer:

1

Step-by-step explanation:

To find the answer of a negative and a positive, you subtract and then keep the symbol of the bigger number.  So in the equation 1-8 you subtract 1 from 8, then keep the symbol of the 8 (which is a negative) since it is the bigger number.  1 minus 8 is 7, and the symbol is negative, so the answer is -7.  This makes K=1.

Answer:

these are the ten numbers :

0 8 2 6 9 2 0 8 0 0

Answer:

Max is 9 ft above Brett

Step-by-step explanation:

Brett is 34 feet below the surface  = -34

Max is 25 feet below the surface = -25

Subtract the heights

-25 - -34

-25 +34

9

Max is 9 ft above Brett

Answer:

  4.54

Step-by-step explanation:

The 4th digit (6) is greater than 4, so the 3rd digit (3) is increased by 1 before you drop the remaining digits:

  4.54

Answer:

Step-by-step explanation:

[tex]4x+6-11\\\\\mathrm{Add/Subtract\:the\:numbers:}\:6-11=-5\\=4x-5[/tex]

Answer:

-2, b, a+c

Step-by-step explanation:

Answer:

All you have to do is switch A + C and B around. (basically if you wrote it out, it would look like this: -2, B, A + C.)

Answer: you end up at (2,2)

Step-by-step explanation:

Answer:

2,2

Step-by-step explanation:

go down to the bottom right corner (5,-5)

move over left 3 boxes

and then up 7 boxes

hope this helps :P

Answer:

Nearest tens:  20

Nearest tenths:  24.8

Nearest whole:  25

Nearest hundredths: 24.77

Answer:

Nearest tens: 20 ⇔ the ones digit is 4, no rounding up

Nearest tenths: 24.8 ⇔ the hundredths is 7, need to round up

Nearest whole: 25 ⇔ the tenths digits is 7, need to round up

Nearest hundredths: 24.77 ⇔ the thousandths digit is 2, no rounding up

Hope this helps!! :)

Please let me know if you have any question

Answer:

x=3

Step-by-step explanation:

2/3x+15=17

first subtract 15 from both sides

2/3x=2

multiply by 3 to eliminate the fraction

2x=6

divide by 3

x=3

Answer:

x=3

Step-by-step explanation:

2/3x +15 = 17

2/3x = 17-15

2/3x = 2

x = 2  /  2/3

x = 2/1  *  3/2

x = 6/2

x = 3

Answer:

a. [tex]\frac{5}8[/tex] cups of purple paints required.

b. [tex]\frac{5}8[/tex]

Step-by-step explanation:

Given that

Number of purple paints required with 8 cups of white paint = 5

To find:

a. Number of cups of purple paint needed to be added to 1 cup of white paint ?

b. Constant of proportionality.

Solution:

Answer a. We can use unitary method here to find the number of cups of purple paint that are to be added to 1 cup of white paint.

Let us use the given statement:

8 cups of white paint require = 5 cups of purple paint

Let us divide both sides by 8:

1 cup of white paint require = [tex]\frac{5}8[/tex] cups of purple paint

Answer b.

Constant of proportionality is nothing but the ratio of two numbers which are present in a proportion.

Here, the ratio between number of cups of purple paint and number of cups of white paint is:

5:8 or [tex]\frac{5}8[/tex].

so, the answer is: [tex]\frac{5}8[/tex]

Answer:

Step-by-step explanation:

Formula for calculating the surface area of the box S = 2(LW+LH+WH) where

L is the length of the box

W is the width of the box

H is the height of the box

If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;

S = 2(4(4)+4H + 4H)

S = 2(16+8H)

S = 32+16H

Hence, The function that represents the surface area of this box as a

function of its height is S = 32+16H where H is the height of the box

Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;

S = 32+16H

S = 32+16(6.5)

S = 32+106

S = 138in²

Hence the total surface area of the box is 138in²