An electrician needs to buy 12 3/5 yards of electrical wire. Wire is sold on spools that have 3 1/2 yards of wire in each. How many whole spools of wire does the electrician need to buy? Write your answer as a decimal.

Answer:

The linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2

Step-by-step explanation:

In the linear equation, y =mx + b

This is the equation of a straight line where m is the gradient and b is the intercept on the y-axis.

In the equation, y represents the height of the trees after x years.

m is the gradient, that is, the rate at which the trees are growing.

and b is the height at the time they were planted, that is, at time x = 0.

From the question,

Six 2-foot tall pine trees were planted during the school's observation of Earth Awareness Week in 1990, that is,

b = 2

Also, from the question,

The trees have grown at an average rate of 3/4 foot per year, that is,

m = 3/4

Hence, the equation becomes

y = 3/4x + 2  ([tex]y = \frac{3}{4}x + 2[/tex])

OR

y = 0.75x + 2

Hence, the linear equation that gives the height of the tree in terms of number of years since they were planted is y = 3/4x + 2  OR y = 0.75x + 2.

Equation that represents the height of the tree in terms of number of years since they were planted

[tex]y=\frac{3}{4}x+2[/tex]

Given :

Six 2-foot tall pine tress were planted.

The trees have grown at an average rate of 3/4 foot per year.

We need to frame linear equation that represents the height of the tree in terms of number of years.

Linear equation is y=mx+b

where b is the initial height of the tree

m is the rate of growth of the tree

y is the final height of the tree

and x  represents the number of years

Initial height of the tree is 2 foot

rate of growth is 3/4 foot per year

x is the number of years

Replace all the values inside y=mx+b formula

[tex]y=\frac{3}{4}x+2[/tex]

Equation that represents the height of the tree in terms of number of years since they were planted

[tex]y=\frac{3}{4}x+2[/tex]

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Answer:

Step-by-step explanation:

Well looking it up on my link bar if you look up on google there's an answer key which for me its the second link on google!!

Answer:

3/20, 7.5%, 1/5, 45%

Answer: 130+8(m)

Step-by-step explanation: you want to add how much water times m is added to your very first amount

Answer:

Perimeter = 23.692 units

Step-by-step explanation:

Perimeter = sum of all his sides

then:

Perimeter = 4.15 + 7.092 + 12.45

Perimeter =  23.692 units

Answer: The answer should be 0.10d + 0.01p

Step-by-step explanation: please give brainliest :)

Answer:

4 and -8

Step-by-step explanation:

Anything multiplied by 0 is 0. So we just need to find values of t which will give you a 0 by setting them equal to 0

[tex]t - 4 = 0\\\\t = 4\\\\t + 8 = 0\\\\t = -8[/tex]

Hence, we know that area of rectangle is equals to the product of length and breadth.

Therefore, the area of rectangle is,

[tex] = 4 \times( {x}^{2} +3x + 2 ) \\ = 4({x}^{2} + 3x + 2) \\ = \green{ \boxed{4 {x}^{2} + 12x + 8}}[/tex]

Therefore, the answer is 4x² + 12x + 8.

Answer:

3 hours

Step-by-step explanation:

20 ÷ 5 = 4 mph

12 ÷ 4 = 3 hours

hope this explanation makes sense! :)

Sara took 3 hours to hike 12 miles if, on the first day of camp, Sara hiked 20 miles in 5 hours and the rate is 4 miles per hour.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

On the first day of camp, Sara hiked 20 miles in 5 hours.

The rate = 20/5 = 4 miles per hour

Let x be the time taken by Sara to hike 12 miles

As its rate of speed of Sara is 4 miles per hour

x = 12/4

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

x = 3 hours

Thus, Sara took 3 hours to hike 12 miles if, on the first day of camp, Sara hiked 20 miles in 5 hours and the rate is 4 miles per hour.

Learn more about the fraction here:

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Answer:

27.27% of the class was absent

Step-by-step explanation

Answer: a

Step-by-step explanation:

Answer:

The answer is "[tex]\frac{1}{25}[/tex]"

Step-by-step explanation:

They might claim that perhaps the ratio to Raul would've been:[tex]\frac{y}{x} = \frac{5}{125} = \frac{1}{25}[/tex] per each 125(x) page, which he reviewed throughout a summer competition.

Raul's cost per unit for each paragraph reads is [tex]\frac{1}{25}[/tex] page points, that's why the model a link with the same unit rate. please find the graph in the attached file.

Answer:

6 quarters and 20 dimes

Answer:

A. 62%

Step-by-step explanation:

64.50x = 40

x = 0.62015 or 62%

This means 62% of original price is $40, discount is 38%. From your options seem to be asking for percent of original price paid and not discount.

Answer:

1. 1/7 x 7/1= 1

2. 5/9 x 9/5= 1

3. 23/11 x 11/23= 1

4.  13/61 x 61/13= 1

5. 8/9 x 9/8= 1

Explanation:

when finding the reciprocal of a fraction, the numerator becomes the denominator, and the denominator becomes the numerator. keep in mind that when you multiply a fraction by its reciprocal, it will always equal 1.

Answer:

the number is 30.

Step-by-step explanation:

Look at the denominators, 6 and 36.

6 x 6 = 36, so....

We multiply the 5 on top by 6 as well

5 x 6 = 30

So, the number is 30.

hope this helped!

Answer:

30/36

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

just did 13 plus 13 plus 13

Answer:

33

Step-by-step explanation:

T8 = A + (8 - 1) d

T8 = 5 + 7d

T8 = 5 + 7(4)

T8 = 5 + 28

T8 = 33

note : d is the common difference gotten from T2 - T1

Answer:

33

Step by step explanation:

Eight term of the sequence = a + 7d

where:

a= first term

d= common difference

first term = 5

common difference = 4

= 5 + 7(4)

= 5 + 28

= 33

Answer:

Step-by-step explanation:

(a).

Multiples of 4 are {4, 8, 12, 16, 20, 24, 28, ..... }

Multiples of 6 are {6, 12, 18, 24, 30, ..... }

12 and 24

(b).

Multiples of 6 are {6, 12, 18, 24, 30, 36, 42, ..... }

Multiples of 9 are {9, 18, 27, 36, 45, ..... }

18 and 36

Answer:

380

Step-by-step explanation:

300+80=380

Hope that helped.

Answer:

7;-3

Step-by-step explanation:

9+5/2 ; 1+(-7)/2

14/2 ; -6/2

7 ; -3

Answer:

7

Step-by-step explanation:

Answer:

x = 40

Step-by-step explanation:

The  two sides on top are congruent,  Kites have two pairs of adjacent sides that are equal. so since it's 40 degrees on one side, the same will happen to the other.

Answer:

[tex]\huge\boxed{f^{-1}(x)=\dfrac{x+3}{4}=\dfrac{1}{4}x+\dfrac{3}{4}}[/tex]

Step-by-step explanation:

[tex]f(x)=4x-3\to y=4x-3\\\\\text{exchange}\ x\ \text{to}\ y\ \text{and vice versa}\\\\x=4y-3\\\\\text{solve for}\ y\\\\4y-3=x\qquad|\text{add 3 to both sides}\\\\4y-3+3=x+3\\\\4y=x+3\qquad|\text{divide both sides by 4}\\\\\dfrac{4y}{4}=\dfrac{x+3}{4}\\\\y=\dfrac{x+3}{4}\to y=\dfrac{1}{4}x+\dfrac{3}{4}[/tex]

Answer:

101.5m left to use after the big top goes up.

Step-by-step explanation:

18*10=180  [tex]\pi[/tex]r[tex]x^{2}[/tex]= 3.14*5^{2}=3.14*25=78.5

180-78.5= 101.5m

Answer:

±94

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

x  (1st consecutive term)

x + 2 (2nd consecutive term)

Step 2: Set up equation

x(x + 2) = 2208

Step 3: Solve for x

Step 4: Identify Consecutive Integers

Possibility 1: x = -48

1st Consecutive Even Term: -48

2nd Consecutive Even Term: -48 + 2 = -46

Possibility 2: x = 46

1st Consecutive Even Term: 46

2nd Consecutive Even Term: 46 + 2 = 48

Step 5: Find sums

Possibility 1: x = -48

-48 + -46 = -94

Possibility 2: x = 46

46 + 48 = 94

Answer:

Dracula will be left with 24 candies

Step-by-step explanation:

The given problem is of fractions and percentages.

Given that

Total pieces of candy = 48

Now as it is mentioned that Dracula gives 1/3 of his candies to his friend, wee have to find the one third of the total pieces of candies first.

[tex]one-third\ of\ candies = \frac{1}{3} * 48\\= 16[/tex]

Dracula will be left with:

[tex]Candies\ left = Total\ candies - one\ third\ of\ candies\\= 48-16 = 32[/tex]

Dracula will be left with 32 candies after giving one third to his friend.

Now he gives 25% of remaining to his cousin

So,

[tex]25\%\ of\ 32\\= \frac{25}{100}*32\\=8[/tex]

Dracula will be left with: 32-8 = 24 candies

Hence,

Dracula will be left with 24 candies

Answer:

12.9x-9

Step-by-step explanation:

5.3x-9+7.6x

5.3x+7.6x = 12.9x

=12.9x-9

Answer:

the second one gives the same answer as the one in the question