A construction company ordered 65 wood beams for a new project. Each beam was 27.3 ft long. What was the total length of all the beams put together? Write your answer in yards

Answer:

Step-by-step explanation:

Instead of dividing both sides by 5, it is multiplied

5x + 3 = 6            {Subtract 3 from both sides}

5x + 3 - 3 = 6-3

            5x = 3       {Divide both sides by 5}

           5x/5 = 3/5

                 x = 3/5

First note that log(x) is defined only for x > 0; log(x + 3) for x > -3; and log(x - 1) for x > 1. So if we find any solutions x ≤ 1, these will be extraneous.

Condense the right side:

log(x) = log((x + 3) / (x - 1))

Let b be the base of the logarithm. Then writing both sides as powers of this b simplifies the equation to

b^log(x) = b^log((x + 3) / (x - 1))

x = (x + 3) / (x - 1)

Solve for x :

x (x - 1) = x + 3

x ² - x = x + 3

x ² - 2x - 3 = 0

(x - 3) (x + 1) = 0

x - 3 = 0   or   x + 1 = 0

x = 3   or   x = -1

We throw out x = -1 because it's less than 1, so the only (real) solution is x = 3.

Please find attached photograph for your answer.

Answer:

Large cup cost $4.25

Step-by-step explanation:

Medium:  x

   Large:  y

Constraints:

  7x + 10y = 68.75

  10x + 15y = 101.25

Isolate y variable:

     (7x + 10y = 68.75) * -10    ===>    -70x - 100y =  -687.50

   (10x + 15y = 101.25) * 7       ===>     70x + 105y = 708.75

                                                        ____________________

   add the two equations                                 5y = 21.25

   divide by 5                                                      y = 4.25

The answer would be

155

Have a good day bye!

Answer:

ur answer would be 115!

Step-by-step explanation:

I got it right on the test!!

:--)

165

Is your answer

ggg do gets go t ra di

Answer: y    = -4x-9

Step-by-step explanation:

parallel slope means it's the same slope as the given equation

y+1=-4(x+2)

y+1 = -4x-8

y    = -4x-9

Answer:

x = -(8/5)  or  -([tex]\frac{8}{5}[/tex])

Step-by-step explanation:

-5x+12=20

-5x=20-12

-5x=8

x = -(8/5)  or  -([tex]\frac{8}{5}[/tex])

Answer:

×=(-1.6)

Step-by-step explanation:

First we want to subtract 12

Subtraction property of euality

-5x=8

Division property of equality

x=(-1.6)

Answer:

x=10

Step-by-step explanation:

Answer:

it makes about 41 copies per minute

Answer:

12 will come in the blank

Step-by-step explanation:

Distributive property is used

a(b + c)  = a*b + a*c

36 + 48 = 12*3 + 12*4

           = 12(3 + 4)

Answer:

The answer is 80°.

Step-by-step explanation:

360° - 100° = 260°

260° - 100° = 160°

160° / 2 = 80°

* the theorem is m < UTS = 1/2 (m < UTS - m < US)

* m = measure

The measure of m<UTS is 80 degree.

The correct option is D.

An "arc" is a smooth curve that connects two points in mathematics. In general, an arc is a section of a circle. It is essentially a portion of a circle's circumference.

A circle's arc is defined as a portion or segment of its circumference. A chord of a circle is a straight line that can be created by connecting the two ends of an arc. A semicircular arc is one whose length is exactly half that of a circle.

We have,

From the figure we can write

m < UTS = 1/2 (m < UTS - m < US)

As, m <UTS = 360 and arc US = 100

= 1/2(360° - 100° - 100)

= 160° / 2

= 80°

Thus, m< UTS is 80 degree.

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Answer:

4/3 because 2/3x2/1=4/3×2=8/6÷2=4/3

Answer:

637

Step-by-step explanation:

13 * 49 = 637

Answer:

it's 637 trust me ........

Answer:

Step-by-step explanation:

x can be anything so let’s use 0, 1, 2, and 3 for x values

to find the y values, we just plug in the x values into the equation

when x = 0

y = 5/4(0) -2

y = 0 -2

y = -2

(0, -2) (x = 0, y = -2)

when x = 1

y = 5/4(1) -2

y = 5/4 -2

y = 5/4 -8/4

y = -3/4

(1, -3/4) (x = 1, y = -3/4)

when x = 2

y = 5/4(2) -2

y = 10/4 -2

y = 5/2 -4/2

y = 1/2

(2, 1/2) (x = 2, y = 1/2)

when x = 3

y = 5/4(3) -2

y = 15/4 -2

y = 15/4 -8/4

y = 7/4

(3, 7/4) (x = 3, y = 7/4)

Answer:

Table shown below

Step-by-step explanation:

Table of Values

We are given the function:

[tex]\displaystyle y=\frac{5}{4}x-2[/tex]

And it's required to fill the table of values for x and y with the condition that there are only integers.

Given the expression has a denominator of 4, to ensure there are no decimals in the results, we select values of x that are multiple of 4.

Select the values: {-4,0,4,8}

Now calculate the corresponding values of y.

x=-4

[tex]\displaystyle y=\frac{5}{4}(-4)-2=-5-2=-7[/tex]

y=-7

x=0

[tex]\displaystyle y=\frac{5}{4}(0)-2=0-2=-2[/tex]

y=-2

x=4

[tex]\displaystyle y=\frac{5}{4}(4)-2=5-2=3[/tex]

y=3

x=8

[tex]\displaystyle y=\frac{5}{4}(8)-2=10-2=6[/tex]

y=8

The filled table is shown in the attached image

Answer:

4.5

Step-by-step explanation:

Its the middle of all of the numbers

Answer:

Its 5

Step-by-step explanation:

3 and 4 has 4 X's

6 has also 4 X's

so it leaves with 5.

Answer:

It should be 15 pounds

Step-by-step explanation:

If you divide 5 weeks (the amount you need) by 2 weeks (the current ratio 6:2) then you get 2.5. Lastly just multiply 6 pounds to it (the other part of the ratio/ pounds per 2 weeks)

Answer:

The independent is the 90 gallons and the dependent is the 8 minutes.

Hope this helps!

Step-by-step explanation:

Answer:

x = 3

Each side is 19

Step-by-step explanation:

HF = FG = HG cuz this is an equilateral triangle, meaning all sides are equal.

The required sum of -3x, 5x + y, and 7x - 8 - 3y in descending order is 9x - 2y - 8.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
To add -3x, 5x + y, and 7x - 8 - 3y, we can first combine like terms.

Group the x-terms together:

-3x + 5x + 7x = 9x

Group the y-terms together:

y - 3y = -2y

Group the constants together:

-8

Putting it all together, we get:

9x - 2y - 8

Therefore, the sum of -3x, 5x + y, and 7x - 8 - 3y in descending order is 9x - 2y - 8.

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Answer:

= 2      

1. Rearrange terms

2.Distribute

3. add 2  to both sides of the equation

4.Simplify

5.Subtract 3  from both sides of the equation

6. Simplify again

7. Divide both sides of the equation by the same term

8. Simplify one more time

Answer:

95

Step-by-step explanation:

dct equals 140, dct also equal det plus edc, so 140 - 45 = 95

Answer:

The length of o is 24 centimeters

Step-by-step explanation:

In Δ OPQ

∵ Side p is opposite to ∠P

∵ Side q is opposite to ∠Q

∵ Side o is opposite to ∠O

→ To find side o we must use the cosine rule

∴ o = [tex]\sqrt{p^{2}+q^{2}-2(p)(q).cos(O) }[/tex]

∵ p = 38 cm

∵ q = 29 cm

∵ m∠O = 39°

→ Substitute them in the rule to find o

∴ o = [tex]\sqrt{(38)^{2}+(29)^{2}-2(38)(29).cos(39)}[/tex]

∴ o = 23.92008154

→ Round it to the nearest centimeter (whole number)

∴ o = 24 centimeters

∴ The length of o is 24 centimeters

The gratuity of the hotel server has to be $8.

The tax of the restaurant server is 8.5 percent

We have tro find this based on salary

40 dollars x 0.85 = 34

The income 34 - 18

= 16

Half of 16 = 8

Hence the amount that is the percentage of gratuity is 8 percent.

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Answer:

DARK Blue! 0.4!

Step-by-step explanation:

Answer:

Gitana's work is correct

Step-by-step explanation:

Divide 40 with 100 then multiply it by 160

40 ÷ 100 × 160 = 64

Answer:

Gitana is correct.

Step-by-step explanation:

Answer:

why are we stilll here

Step-by-step explanation:

Answer:

In 2 years

Step-by-step explanation:

When Kate turns 20, Victor will be 10.

20 is twice as much as 10 (10*2=20)

hope this helps!

Answer:

In 7 years Kate will be twice as old as Victor

Step-by-step explanation:

Victors age: 17-12=5

Kate's age:17+7=24

Victors age:5+7=12

24 divided by 2 equals to 12.

~~~~~~~

Check your answer

5+12=17

24-7=17

12-7=5

12*2=24

Answer:

Mov

Step-by-step explanation:

move point b one and one half units to the left

Answer:

70

Step-by-step explanation: