Juan is building a set for the school musical. He has a 3 foot board that he needs to divide into 1/2 foot pieces. How many pieces will he have after he cuts the board?​

Answer:

[tex]\sf{x=\dfrac{7}{2}=3.5 }[/tex]

Step-by-step explanation:

It is necessary to isolate the term of x from both sides in order to solve this problem.

First, subtract by 5 from both sides.

2x+5=12

[tex]\sf{2x+5-5=12-5}[/tex]

Solve.

[tex]\sf{12-5=7}[/tex]

2x=7

Divide by 2 from both sides.

2x/2=7/2

Solve.

Dividing is another option.

7/2=3.5

So, the final answer is 7/2=3.5.

I hope this helps you! Please let me know if my answer is wrong.

The daily expense for food and lodging will be 337.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

A recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the United States will pay an average of $247 per day for food and lodging with a standard deviation of $60 per day.

Assuming the data are normally distributed if the family had a z-score of 1.5.

Then the daily expense for food and lodging will be

z = (x - μ) / σ

1.5 = (x - 247) / 60

90 = x - 247

x = 247 + 90

x = 337

The daily expense for food and lodging will be 337.

More about the z-score link is given below.

https://brainly.com/question/15016913

#SPJ2

Answer:

paul had £5x=£65

Step-by-step explanation:

Dan: Paul = 9:5

Dan £9x, Paul £5x

9x-26=5x+26

9x-5x=52

4x=52

x=13

9x=117

5x=65

paul had £5x=£65

Answer:

60

Step-by-step explanation:

Because 2x5=10 and 12x5=60

Answer:

10x-2+2x+18

=10x+2x+18-2

=12x+16

Answer:8x-16

Step-by-step explanation:

Answer:

this is so hard what grade are you in

First let's calculate the final price at the electronic store.

499.99*(1+0.05)≈524.99

Now let's calculate the final price online

(549.99+22.95)*(1-0.1)≈515.65

If we compare the two we can see that the online price is cheaper at around 515.65 dollar therefore the second choice is correct.

I hope this helped if you have any questions please ask!

Answer:

A. 35

Step-by-step explanation:

√35 = 5.9160797830996160425673282915616170484155012307943403228797196691

Answer: √35

Plz mark brainliest ;)

Answer:

 A) 12 cm

 B) 520 cm² (just sides); 720 cm² (sides and base)

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x=5,−2

Step-by-step explanation:

I can do math

Answer:

x=3y-2

x+3y=6

if x value is above

place the value of x

3y-2+3y=6

3y+3y_=6+2=8

6y=8

y=8/6=4/3

y=4/3.

I don't know it's correct .which I think I did.

x=3,4/3-2

x=12/3-2/1

to make alceeam same 2/1we multiply by 3

x=12/3 -6/3

x=12-6/3

x=6/3

x=2

the answer is

2,4/3

Answer:

10.1119 m or √102.25 m

Step-by-step explanation:

Using our lovely Pythagorean theorem, a² + b² = c², we can find the value of x in this triangle.

Let's say that a = 4.8 and b = 8.9, then set c as x.

(4.8)² + (8.9)² = x²

23.04 + 79.21 = x²

x² = 102.25

x = √102.25

  = 10.111874208...

  ≈ 10.1119

Answer:

22

Step-by-step explanation:

19-(-3)

19+3

22

Answer:

Below.

I Hope it helps :)

Step-by-step explanation:

Slope intercept form :

y=mx+b

1.

[tex]2x + y = 1[/tex]

Slope intercept form :

[tex]y = - 2x + 1[/tex]

Equation :

[tex]x - 2y = 8[/tex]

Slope intercept form :

[tex] - 2y = - x + 8[/tex]

or

[tex] y = \frac{1}{2} x - 4[/tex]

2.

[tex]3x + 2y = 4[/tex]

Slope intercept form :

[tex]2y = - 3x + 4 \\ [/tex]

Divide through by 2

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

Equation :

[tex]x + 2y = - 4[/tex]

Slope intercept form :

[tex]2y = - x - 4[/tex]

Divide through by 2

[tex]y = - \frac{1}{2} x - 2[/tex]

3.

[tex]4x + y = 1[/tex]

Slope intercept form =

[tex]y = - 4x + 1[/tex]

Equation :

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

Slope intercept form :

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

The equation of the translated function will be given by f(x) = ( x + 1 ) 2 + 5

The vertex of the original function is (0, 0 )

The vertex of the translated function is (- 1, 5 )

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

The translated graph has been shifted 1 unit left, thus

f(x) = (x + 1)²

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

The translated graph has been shifted 5 units up,

Thus the equation of the translated function will be given by f(x) = ( x + 1 ) 2 + 5

To know more about functions follow

https://brainly.com/question/875118

Answer:

f(x) = ( x + 1 )^2 + 5

Step-by-step explanation:

Answer: $39

Step-by-step explanation: 4(1)+3(5)+2(10)=39

Answer:

39 dollars.

Step-by-step explanation:

1 x 4= 4

3 x 5= 15

2 x 10= 20

add them up:

15+4= 19

19+20= 39

Answer:

81%

Step-by-step explanation:

First, let's set up 3 equations:

w*0.6 = x

x*1.5=y

y*0.9=z

Now, we can substitute x in the second equation for w*0.6:

w*0.6*1.5 = y

Lastly, we can substitute y in the last equation for w*0.6*1.5:

w*0.6*1.5*0.9=z

w*0.81=z

Therefore, z is 81 percent of w.

Answer:

-100

Step-by-step explanation:

(-5)^2- (-5)^3=

25-125= -100

Hey there!

plug in the value of w and solve:

(-5)²-(-5)³

25-(-125)

25-125

-100

Hence, -100 is the answer.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Answer:

y=-4x-8

Step-by-step explanation:

use the equation y-y1=m(x-x1) and solve for y

Answer:

y=-4x-3

Step-by-step explanation:

For this, you would use the point-slope formula, which is (y-y1)=m(x-x1), with x1 and y1 being the coordinates from the ordered pairs, and m being the slope. You can plug the values from the problem into the formula:

(y-5)=-4(x+2)

y-5=-4x-8

y=-4x-3

hope this helps! :)

Answer:

if simplified is 30

Step-by-step explanation:

600 x 360/7,200

Answer:

45

Step-by-step explanation:

52-7

=45

PLEASE GIVE BRAINLIEST

Answer:

the equations are coincident.

Step-by-step explanation:

Answer:

Parallel

Step-by-step explanation:

The answer above me is wrong.  These lines are parallel, not coincident.

Answer:

X= 10.8

Step-by-step explanation:

Answer:

The first point is right in the origin, so it's (0,0)

Our second point is (2, 1)

Our first point (0,0) would look like if labeled

0(X1) , 0(Y1)

Our second point would look like if labeled

2(X2) , 1(Y2)

Order them to find the slope;

1 - 0        1

____ = ___, our slope for this is 1/2

2 - 0       2

Step-by-step explanation:

Since angles opposite congruent sides in a triangle are congruent, w=67.

Now, since the sum of the measures of the interior angles of a triangle is 180 degrees, x=180-67-67=46

Answer:

decision alternatives

Step-by-step explanation:

uhhh yea thats pretty much it -

Answer:

Step-by-step explanation:

whats the angle between m,n,i i think thats what its asking but i dont know for sure.

Answer:

10= m

Step-by-step explanation:

70 = 7m

70/7 = 7m/7

10= m

hope this helps! :)

Answer: 10m

Step-by-step explanation: m=10