The length of a metal rod is 9 3/4 feet. What is the length of 1/4 of the rod?

Answer:

7x

Step-by-step explanation:

4x ( linear function) + 3x ( linear function) = 7x

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Combine like terms:

4x+3x=7x

Remember, we can add terms with the same variable together, but we can't add terms with different variables.

[tex]\huge\boxed{Hence,\:the\:answer\:is\:7x.}[/tex]

[tex]\huge\underline{Hope\:it\:helps!}[/tex]

[tex]\boxed{DreamyGal\:here\:to\:help!:)}[/tex]

Answer:

  A=4, B=3, C=2, D=7  or  A=2, B=7, C=4, D=3

Step-by-step explanation:

To factor this, you are looking for factors of 8×21 = 168 that have a sum of 34.

  168 = 1×168 = 2×84 = 3×56 = 4×42 = 6×28 = 7×24 = 8×21 = 12×14

The sums of these factor pairs are 169, 86, 59, 46, 34, 31, 29, 26. The factor pair whose sum is 34 is 6×28. This means we can rewrite the expression as ...

  8x² +28x +6x +21

Factoring by pairs gives ...

  4x(2x +7) +3(2x +7)

  (4x +3)(2x +7)   ⇒   A=4, B=3, C=2, D=7  or  A=2, B=7, C=4, D=3

Answer:

......................

Answer:

Scale is 1/2

Step-by-step explanation:

5*1/2=5/2

12*1/2=6

Answer:

C 132 square units

Step-by-step explanation:

. Happy Friday

Answer:

See attachment.

Step-by-step explanation:

The distance in given time t is determined by substituting the value of time and solving the equation.

At 2 hours, the traveler is 725 miles from home.

At 3 hours, the distance is constant, at 880 miles.

The total distance from home after 6 hours is 1,062.5 miles.

Given that,

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.

D(t) = 300t + 125

We have to determine,

Which times and distances are represented by the function?

According to the question,

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.

1. The starting distance at 0 hours is ;

At [tex]0 \leq t < 2.5[/tex]

Then,

[tex]\rm D(t) = 300t + 125 ;\\\\\ D(0) = 300(0) + 125 = 125 \ miles[/tex]

The starting distance, at 0 hours, is 125 miles.

2. The distance at 2 hours is,

[tex]\rm D(t) = 300t + 125 ;\\\\\ D(2) = 300(2) + 125\\\\ D(2) =600+125\\\\ D(2) = 725 \ miles[/tex]

At 2 hours, the traveler is 725 miles from home.

3. The distance at t = 2.5 hours is,

At 2.5 ≤ t ≤ 3.5

D(2.5) = 880 miles (Fixed)

At 2.5 hours, the traveler is 880 miles from home.

4. The distance at t = 3 hours is,

2.5 ≤ t ≤ 2.5

D(3) = 880 miles

At 3 hours, the distance is constant, at 880 miles.

5. The distance at t = 6 hours is,

3.5 < t ≤ 6

[tex]\rm D(t) = 300t + 125 ;\\\\\ D (6)= 75(6) + 612.5\\\\ D(6) = 450 + 612.5\\\\D(6) = 1062.5 miles[/tex]

The total distance from home after 6 hours is 1,062.5 miles.

For more details about Average distance refer to the link given below.

https://brainly.com/question/25969947

Answer:

Miss Parker folded 180 more towels than the average laundry worker

Step-by-step explanation:

5 multiplied by 60 gives you the average laundry worker- 5x60=300 towels per hour. Miss Parker can fold 8 per minute so you do 8 multiplied by 60 which would give you her average- 8x60=480. To find how many more towels she has folded than the average luandry worker you subtract miss Parker’s total from the average laundry person’s total giving you- 480-300=180

Answer:

60 Is the correct answer

Answer:

114

Step-by-step explanation:

all angles of a triangle add up to 180

180-80-34 = 66

66 is the angle right next to 1

180 degrees will be the product of both of those angles

180-66 = 114

114 degrees

Answer:

  112

Step-by-step explanation:

We can write the equation for the direct variation:

  y = kx

  34 = k(17)

  34/17 = k = 2

Then for the new x-value:

  y = 2(56) = 112

The value of y is 112 when x = 56.

__

Or, we can write the relation as a proportion:

  y/56 = 34/17

  y = 56(34/17) = 112

Answer:

f(4)=29

f(-2)=-25

x=8

Step-by-step explanation:

a. to find f(4), you need to substitute x with 4...

f(4)=9(4)-7

f(4)=36-7

f(4)=29

b. This is the same for f(-2)

f(-2)=9(-2)-7

f(-2)=-18-7

f(-2)=-25

c. 9x-7=65

      +7    +7 to cancel the 7 out and to isolate the x

9x=72

      divide both sides by 9

x=8

So basically f(8)=65

Answer:

a. f(4) = 29

b. f(-2) = -25

c. x = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Terms/Coefficients

Functions

Step-by-step explanation:

Part A + B

Step 1: Define

Identify.

f(x) = 9x - 7

Step 2: Find

f(4)

f(-2)

Part C

Step 1: Define

Identify.

9x - 7 = 65

Step 2: Solve for x

Answer:

Hope I explain it well!

Step-by-step explanation:

k + a/6 = 3k

well, I am not sure if we need to find the a, or the k, so lets find both!

--

First the a:

k + a/6 = 3k (subtract k)

a/6 = 2k (Multiply by 6)

a = 12k

--

Last, the k:

k + a/6 = 3k (Subtract k)

a/6 = 2k (Divide by 2)

a/12 = k

--

There you go, I hope you figure it out <3

Answer:

Step-by-step explanation:

Answer:

In both the cases, the given total amount is given as:

T  = 10 + 0.05 m     (when minutes talked m   < 600)

T   =  40   +   0.15 k           (when minutes talked  k   > 600)

Step-by-step explanation:

Answer:

x = 19, y = -7, z = -18

Step-by-step explanation:

Since its a rhombus and 1 side = 29, all sides = 29. Just solve each side.

2x - 9 = 29

2x = 38

x = 19

-3y + 8 = 29

-3y = 21

y = -7

-2z - 7 = 29

-2z = 36

z = -18

The value of the variables x, y, and z will be 19, -7, and -18, respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

All the sides of the rhombus are congruent with each other.

Then the equations are given below.

2x - 9 = 29

-3y + 8 = 29

-2z - 7 = 29

Simplify the first equation, then we have

2x - 9 = 29

2x = 38

x = 19

Simplify the second equation, then we have

-3y + 8 = 29

3y = - 21

y = -7

Simplify the third equation, then we have

-2z - 7 = 29

2z = - 36

z = - 18

The value of the variables x, y, and z will be 19, -7, and -18, respectively.

More about the Algebra link is given below.

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Answer:

the jar of peanut butter is $2.36

Step-by-step explanation:

Answer: $2.36

Step-by-step explanation:

Answer:

A, B, D

Step-by-step explanation:

from this function, we can see that 2x is being subtracted from 100. x is the number of incorrect problems, so this can not be a negative value. therefore, the maximum score you can get is 100. y is equal to your final grade as calculating the right side of the equation results in the grade you receive based on the number of incorrect answers. this is a linear function since its highest power is 1. each question is worth 2 points as 2 is being multiplied by the number of incorrect questions (x).

I think it should be 1/2 cup water. Sorry if I'm wrong

Answer:

Hi the answer is x=63

x/9=7

multiply both sides by 9

(x/9)*(9)=(7)*(9)

therefore 63 is the missing number

Answer:

3^12

Step-by-step explanation:

9³=(3²)³=3^6

27²=(3³)²=3^6

So together, it is 3^12

Answer:

3^12

Step-by-step explanation:

9^3 x 27^2

Rewrite 9 as 3^2 and 27 as 3^3

3^2^3  * 3^3^2

We know that a^b^c = a^(b*c)

3^(2*3)  * 3^(3*2)

3^6   * 3^6

We know that a^b  * a^c = a^(b+c)

3^(6+6)

3^12

Answer:

4th is right

Step-by-step explanation:

fourth is right, x + 8 = y

you have it correct

Answer:

Step-by-step explanation:

4x+6<= -54

4x <= -60

x <= -15    [The point -15 is included, so it must be a solid dot]

----------------

5x + 7 > -18

5x > -25

x > -5     [The point -5 is NOT included, so it should be an empty dot.]

Solution C seems the best.

Answer:

It is False

Step-by-step explanation:

Answer:

95 is not a term here as the next verse should be 98 as it is a 94 term in this pattern

95 will not be a term in the sequence 1, 5, 9, 13, 17, ....., as the value of n for the nth term is not integer.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

The given sequence of numbers is,

1, 5, 9, 13, 17, .....

The first term of the given sequence a₁ =1,

From the given sequence, the common difference pair of two consecutive terms d = 4,

Let nth term of the sequence aₙ= 95,

By arithmetic sequence formula,

aₙ = a₁ + (n-1).d

Substitute the value of aₙ and d,

95 = 1 + (n-1).4

94 = (n-1). 4

(n-1) = 23.5

n = 24.5

The value of n can't be decimal, so 95 can't be a term of the given sequence.

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Answer: The answer is 3 basic toppings and 2 premium toppings.

Answer:

y = 41

Step-by-step explanation:

Substitute x = 5 into the equation

y = 5² + 3(5) + 1 = 25 + 15 + 1 = 41

Using proportions, it is found that the coordinates of the desired point are (2,2).

The point C partitions the segment AB into a ratio of 3 to 2, hence:

[tex]C - A = \frac{3}{5}(B - A)[/tex]

This proportion is applied using both the x and y coordinates of the points, hence:

[tex]x - (-4) = \frac{3}{5}[6 - (-4)][/tex]

[tex]x + 4 = 6[/tex]

[tex]x = 2[/tex]

[tex]y - (-1) = \frac{3}{5}[4 - (-1)][/tex]

[tex]y + 1 = 3[/tex]

[tex]y = 2[/tex]

The coordinates of the desired point are (2,2).

To learn more about proportions, you can take a look at https://brainly.com/question/4854238