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Answer:

12yd = 36ft

Why: For every 1 yard you have 3 feet

2 yards=6 3=9 and so on

Step-by-step explanation:

12 yards = 36 feet

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Answer: average y = -8 average y =2

ARC : -4

Step-by-step explanation:

Average rate of change is the change in the function per unit in a given interval. The average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4

Given

The graph of [tex]y = f(x)[/tex]

See attachment for the points on f(x) that links [tex]x = 5[/tex] to [tex]x = 7[/tex]

The line segment is represented by a green line

To determine the average rate of change using the line segment; we have the following values.

When [tex]x =5; y = 8[/tex]

When [tex]x =7; y = 0[/tex]

So, the average rate of change (m) is:

[tex]m = \frac{\Delta y}{\Delta x}[/tex]

Where:

[tex]\Delta y = y_2 - y_1[/tex]

[tex]\Delta y = 0-8[/tex]

[tex]\Delta y = -8[/tex]

[tex]\Delta x = x_2 - x_1[/tex]

[tex]\Delta x = 7 - 5[/tex]

[tex]\Delta x = 2[/tex]

So, we have:

[tex]m = \frac{\Delta y}{\Delta x}[/tex]

[tex]m = \frac{-8}{2}[/tex]

[tex]m = -4[/tex]

Hence, the average rate of change from [tex]x = 5[/tex] to [tex]x = 7[/tex] is -4

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Answer:

Step-by-step explanation:

1. 93

2.184

Answer:

1) -9.3465 × 10^8

2) 1.6214 × 10^-1

3) 1.33 × 10^-11

Explanation:

When solving arithmetic operations of numbers in scientific notation, there is a strategy that can be used.

First recognize the quotient(division) between the size of the numbers indicated by a multiple of 10 to a certain power. Remember, taking the quotients of like numbers with different powers is the subtraction of powers.

For example, to solve the first expression (problem one):

7.35 x 10^6 – 9.42 x 10^8

Divide 10^8 by 10^6 to get 10^2

So

it is like subtracting 7.35 and 9.42 × 10^2 which is 7.35 - 942, then once this expression is solved, multiply by the lowest multiple of 10 which is 10^6.

7.35 - 942 = -934.65 → -934.65 × 10^6 = (-9.3465 × 10^2) × 10^6 = -9.3465 × 10^8.

Long subtraction may need to be used when dealing with numbers that are far apart. Likewise long addition multiplication or division is used for very big or small numbers.

Anyway for the second expression (problem 2)

Addition in my opinion is much easier because it is really just adding on the bigger number. Subtraction may take a little longer but both processes are all based on the bigger number or the number with the greatest power of the multiple 10.

So 3.14 × 10^-3 + 1.59 × 10^-1

The quotient between 10^-1 and 10^-3 is the the difference between -3 and -1 which is 10^2

So again it is like adding 3.14 and 1.59 × 10^2 which is 3.14 + 159 = 162.14 = 1.6214 × 10^2. Now use the multiple of 10 with the largest contrast which is 10^-3 so 1.6214 × 10^2 × 10^-3 = 1.6214 × 10^(2-3) = 1.6214 × 10^-1.

Answer:

x=19

Step-by-step explanation:

subtract 12 from each side: 50-12=2x+12-12

38=2x

divide by 2

38/2=2x/2

19=x

Answer:

x=19

Step-by-step explanation:

50=2x+12

50-12=2x+12-12

38=2x

38/2=2x/2

x=19

Answer:

V=904.78 in^3

Step-by-step explanation:

V=4/3pir^3=4/3.pi.6^3=904.77868in^3

Answer:

[tex]y=2x-28[/tex]

Step-by-step explanation:

Slope intercept form:

[tex]y=mx+b[/tex]

where:

When two lines are perpendicular, their slopes will be opposite reciprocals.

examples:

[tex]\frac{1}{3}[/tex] → flip the fraction and change the sign → [tex]-3[/tex]

-5 or [tex]-\frac{5}{1}[/tex]→ flip the fraction and change the sign → [tex]\frac{1}{5}[/tex]

[tex]\frac{5}{7}[/tex] →flip the fraction and change the sign →[tex]-\frac{7}{5}[/tex]

So find the opposite reciprocal of the given slope:

[tex]y=(slope)x+(y-intercept)\\\\y=-\frac{1}{2} x-3\\\\slope=-\frac{1}{2}[/tex]

Flip the fraction and change the sign:

[tex]-\frac{1}{2}[/tex] → [tex]\frac{2}{1}[/tex] or [tex]2[/tex]

Now insert the new slope and the given points into point-slope form:

[tex]y-y_{1}=m(x-x_{1})\\\\(14_{x_{1}},0_{y_{1}})\\\\y-0=2(x-14)[/tex]

Solve the equation for y. Use the distributive property:

[tex]y-0=2(x)+2(-14)\\\\y-0=2x-28[/tex]

Simplify:

[tex]y=2x-28[/tex]

:Done

Answer:

The size of the tank is 16 gallons

Step-by-step explanation:

Here, we want to calculate the size of the gas tank of the truck

we simply divide the total amount spent by the price per gallon

Mathematically, that will be;

53.28/3.33 = 16 gallons

Answer:

speed (v)

Step-by-step explanation:

v = d/t

v = speed

d = distance travelled

t = time taken

Answer:

- 1.2+15.45=14.43

Step-by-step explanation:

Answer:

y = -3/4x + 3

Step-by-step explanation:

6 = -3/4(-4) + b

3 = b

Answer:

Step-by-step explanation:

1st step is to solve x from ΔWXY

∠W + ∠X + ∠Y = 180

where ∠W = 5x + 2

           ∠X = 7x + 4

           ∠Y = 180 - (15x - 18)

                 = 198 - 15x

now plugin values into the equation:

5x + 2   +   7x + 4  +  198 - 15x  = 180

combine similar terms:

5x + 7x - 15x = 180 - 2 - 4 - 198

simplify:

-3x = -24

x = -24 / -3

x = 8

2nd step is to substitute x = 8 into ∠XYZ

∠XYZ = 15x - 18

∠XYZ = 15(8)  - 18

∠XYZ = 102

Answer:

x= -3 and y = 6

Step-by-step explanation:

so basically what you are trying to do is reduce into finding x and y

what you do is you want to find a number to multiply one of the equations in order to get the same x or y value does not matter which

so,...

we can do

either 20x or 15y

we will go with the smallest 15y

so for both equations multiply the whole thing by 5 for the first equation and by 3 for the second

5 x 5x+3y=3 --> 1

3 x 4x+5y=18 --> 2

we then get

25x+15y = 15 -->1

12x + 15y = 54 -->2

then now that you have the same Y values you can subtract ! which cancels out both the 15y

25x+15y = 15 -->1

- 12x + 15y = 54 -->2

13x =-39

so now x=-3 and all you have to do with x = -3 is sub this into either one of the equations that you started with  !

x = -3

5(-3) +3y =3

-15 + 3y = 3

3y = 3+15

3y=18

y = 6!

Answer:

y=-2x+1

Step-by-step explanation:

y-y=m(x-x1)

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

y+3=-2x+4

-3 -3

y=-2x+1

Answer:

$42.60

Step-by-step explanation:

change 6.5% to. 065 and multiply it by 40. $2.60 is your sales tax. then add 2.60 to $40 which equals $42.60

Answer:

y = 0.75x

Step-by-step explanation:

Im not sure lmk

Answer:

Step-by-step explanation:

Remark

Usually the statements are written from your broker's and his accountant's  point of view. That being said, he looks at the numbers as a debit for a plus, and a credit as a minus. We'll assume it started out as a new purchase.

Debit                  Credit                Balance

0                                                            0

1423                                                1423

1423                                                2846                                

                              10                     2836

                            813                     2023

                          1223                       800

None of the answers match. I have done it correctly. There is no way you will get a fractional amount from those numbers. You are going to have to take it to your teacher/instructor to find out how it is done.

Answer: 21x - 24

Step-by-step explanation:

(3 * 7) x - 3 (8) = 21x - 24

Answer:

a= 38.85

Step-by-step explanation:

Answer:

[tex]\boxed {a = 38.85}[/tex]

Step-by-step explanation:

Solve for the value of [tex]a[/tex]:

[tex]\frac{a}{3.5} - 4.8 = 6.3[/tex]

-Add both sides by [tex]4.8[/tex]:

[tex]\frac{a}{3.5} - 4.8 + 4.8 = 6.3 + 4.8[/tex]

[tex]\frac{a}{3.5} = 11.1[/tex]

-Multiply both sides by [tex]3.5[/tex]:

[tex]a = 11.1 \times 3.5[/tex]

[tex]\boxed {a = 38.85}[/tex]

Therefore, the value of [tex]a[/tex] is [tex]38.85[/tex].

Answer:

The answer is "yes, it uses the  Law of Detachment as an argument".

Step-by-step explanation:

It is also the method of getting it all in the world in which we give up. It will not imply whether they give up our desire. They may not leave the desire so, we do never give up.

Answer:

You just do

Step-by-step explanation:

Answer:

just click the thing that says "Ask blah blah about this question..."

Step-by-step explanation:

Answer:5/14

Step-by-step explanation:if you're just combining them all 2/7 is equal to 4/14 and add that to the existing 1/14 so 4/14+1/14=5/14 total area covered

Answer:

Question 18

=$3.33

Step-by-step explanation:

i)

26/100 x 4.5

=1.17

(the discount price)

ii)

$4.5-$1.17

=$3.33

Answer:

QUESTION 18

The original price is $4.50

The discount is 26%

They are asking for the sale price which the price after the discount.

So,

The original price means 100% of the cost, like there is no discount at all.

But then we have to apply a 26% discount which means to subtract 26% (the discount) from 100% (the original price)

The new price of the item has to be 74% of the original price.

74% of $4.50   is the same as saying 26% discount.

But what is the number?

To calculate 74% of $4.50, turn 74% into a decimal which is 0.74, then multiply it by 4.50.

0.74 x 4.50   = 3.33

In conclusion, after a 26% discount on an item that is originally $4.50, the new price (sale price) of the item is now $3.33

Answer:

N = 10

Step-by-step explanation:

Subtract 3n from both sides

14 = 2n - 6

add 6 to both sides

20 = 2n

divide by 2

n = 10

Answer:

n = 10

I hope this helps!

Answer:

A. 15 ft

Step-by-step explanation:

I took the test.

By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.

A quadrilateral whose all four sides are equal and all four equal angles are equal to 90°is called square .

Given that area of square shaped lawn is224.9 square feet.

We know that area of square is equal to [tex]a^2[/tex] where a is length of side of square .

We can calculate length side of lawn as

Area = [tex]a^2[/tex]

224.9 = [tex]a^2[/tex]

[tex]a= \pm \sqrt{224.9}\\\\\Rightarrow a=\pm 14.9966[/tex]

We know that length of side of square can't be negative so

[tex]a=14.9966\\\\a\approx 15 ft[/tex]

By applying formula of area of square we got length of side of Jamal's square shaped lawn is 15 ft.

To know more about square visit :https://brainly.com/question/25092270

perimeter = sum of all sides

= 4.3 + 7 + 4.3 + 7 + 4.3 + 7 + 2.7

= 36.6 cm

Answer:

36.6 cm

Step-by-step explanation:

Each side, starting with the one all the way to the left and going anticlockwise.

7 + 4.3 + 7 + 4.3 + 7 + (7 - 4.3 = 2.7) + 4.3 = 36.6