The time taken to build a house is inversely proportional to the number of builders.
If there are 6 builders, it takes 80 days to complete the house.
How many builders must be employed to build the house in just 16 days?

Answer:

3)7/12

4)2*14/25

5)25

hope my effort will help you in some way

Answer:

Step-by-step explanation:

3)   [tex]1\frac{3}{4}[/tex] ÷ 3 = [tex]\frac{7}{4}[/tex] ÷ 3

                [tex]= \frac{7}{4} * \frac{1}{3}\\\\= \frac{7*1}{4*3}\\\\= \frac{7}{12}[/tex]

4) [tex]1\frac{3}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex] = [tex]\frac{8}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex]

             [tex]= \frac{8}{5} * \frac{8}{5}\\\\= \frac{64}{25}\\\\= 2\frac{14}{25}[/tex]

5) 10 ÷ [tex]\frac{2}{5} = 10 * \frac{5}{2}[/tex]

              = 5 * 5

              = 25

[tex]slope\; is\; unknown~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[/tex]

Answer:

2/4 or 1/2

Step-by-step explanation:

slope is rise/run, so count how many points are between your x-values and how many are between your y-values. there are 4 points between the x's and 2 between the y's.

y-axis is the rise because it goes up and down

x-axis is the run because it's horizontal

rise/run= 2/4= 1/2 because you always simplify.

Answer:

Is a obtuse triangle

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

Plug in 2 for x and plug in 4 for y and the equation should be correct

Answer:

6 hotdogs and 4 drinks

Step-by-step explanation:

4x + 1.50y = 30

For questions like this, you can do the equation that represents the price of the products first.

x + y  [tex]\geq[/tex] 9

After that, you can write the equation that represents the quantities.

Now, you just have to graph it to find the solution. When you're graphing, make sure that y is alone on one side. Here's how you rearrange the equations:

The first equation:

4x + 1.50y =30

*Subtract 4x from both sides, which leads to:

1.50 y = -4x + 30

*Divide by 1.50 on both sides, which leads to:

y = -2.66x + 20

The second equation:

x + y  [tex]\geq[/tex] 9

*Subtract x from both sides, which leads to:

y  [tex]\geq[/tex] -1x + 9

Now, use any graphing calculator (I prefer Desmos) to graph these two equations. In fact, you can just graph it on paper, too.

Here is the graph: (it is attached as a file)

You can look for any points that are on the red line but are also shaded blue. Make sure you look only in Quadrant 1- don't go into the negatives! One good point to choose would be (6,4)- this means that you buy 6 hotdogs and 4 drinks.

Answer:

[tex]y\geq 9-x[/tex] shaded up

[tex]y\leq 20-\frac{8}{3} x\\[/tex] shaded down

4 hotdogs, 8 drinks

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

1. yes

2.yes

Step-by-step explanation: you did the math right good

Answer:

Length of the side of a square is 18 sqrt(2)

Step-by-step explanation:

a and b are the sides of square and c is the diagonal.

a^2+b^2=c^2

a^2+b^2= 36^2

As all sides are equal we can take b=a

2a^2=36^2

a^2= (36×36)/2

a^2 = 18×36 = 2×9×9×4

Taking squareroot on both sides we get

a= sqrt(2×9×9×2×2)

a=18 sqrt(2)

Answer:

Step-by-step explanation:

Subtract 5

Answer:

Example: Addition and subtraction are inverse operations

Answer:

a store haves 98 boxes of tiles

Answer:

if I'm supposed to find the number it is 768

Step-by-step explanation:

double 96 which equals 192 then multiply that times 4 which is 768

The 50% of 25% of the number 96 will be equal to 12.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the number is 96 and the value of 50% of 25% of 96 will be calculated  as,

P = 50% x 25% x 96

P = 0.5 x 0.25 x 96

P = 12

Therefore, 50% of 25% of the number 96 will be equal to 12.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

Answer:

8

Step-by-step explanation:

we have to follow PEDMAS.

what we have to do in each operation:

Parenthesis ~  100 + 8 to the second power

Exponents ~ 10 to the 2nd power, 8 to the 2nd power, 2 to the 3rd power

Multiplication  ~  none

Division ~  10 to the 2nd power - (100 + 8 to the second power) divided by 2 to the 3rd power

Addition ~ 100 + 8 to the 2nd power

Subtraction ~ 10 to the 2nd power - (100+8 to the second power)

doing the work:

we start with P: but in what we have to do in the Parenthesis, there is an exponent and addition. we do the exponent first. 8 to the second power is 64. now we can add. 100 + 64 = 164.

E: we did the 2nd exponent, but we need the other 2 for later. 10 to the 2nd power is 100, and 2 to the 3rd power is 8.

we can skip M because there isn't any multiplication to do.

D: we have to do 10 to the 2nd power - (100 + 8 to the second power) first. 100-164= 64. now we can devide. 64 devided by 8 = 8

A: we already did the addition in the parenthesis part.

S: we already did the addition in the parenthesis part.

================================================

Explanation:

To shift f(x) to the right three units, we need to replace every x with x-3

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

f(x-3) = (x-3+2)^2 + 1 .... replace x with x-3

f(x-3) = (x-1)^2 + 1

g(x) = (x-1)^2 + 1

The vertex of f(x) is (-2,1). The vertex of g(x) is (1, 1). This is one example showing every point moves three units to the right when going from f(x) to g(x).

Answer:

0.25000

Step-by-step explanation:

Answer:

I believe 10

Step-by-step explanation:

the reason I believe it is 10 is because that is the main mathematical explanation for this equation

Answer:

w=38.5

l=45.5

Step-by-step explanation:

I'm not sure but I hope this helps! *You may want to check my math*

I took the area and subtracted 7, then dived it by 2. Then add back the 7 to my answer to the length.

Answer:

420.7%

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

4

Answer:

125

Step-by-step explanation:

(n-2)180

(6-2)180

=720

720-120-110-100-130-135

=125

Answer:

Step-by-step explanation:

It is a six sided figure sum of all angles should be 720 degree.

595 +x=720

x=720-595

x=125 degree

Another method

Sum of interior angles of a polygon is

= (n-2)×180=(6-2)×180= 720 degree

Answer:

1/2

Step-by-step explanation:

just because it is

10 - 6v = -104

-6v = -104 - 10

-6v = -114

6v = 114

v = 114/6

v = 57/3

v = 19

Answer:

$49,216.78

Step-by-step explanation:

A(n,k) = R[1-(1+i)^-n / i) (1+i)^-k

A = Present value of deferred annuity

R = Payment at the end of period

R = 30,000

i = 0.06 / 2

n = (4)*2 = 8

k = deferred period, (18)*(2) = 36

A(n,k) = 30,000*(1-(1+0.04)-^8 / 0.04)*(1+0.04)^-36

A(n,k) = 30,000*(1-(1.04)^-8 / 0.04)*(1.04)^-36

A(n,k) = 30,000*(1 - 0.730690205/0.04) * 0.24366872185

A(n,k) = 30,000*(0.269309795 / 0.04)*0.24366872185

A(n,k) = 30,000*6.732744875*0.24366872185

A(n,k) = 49216.78014700164

A(n,k) = $49,216.78

So the lump sum payment that the university accept now is $49,216.78

Answer:

<XWV  ≅  <XJL

<LXJ  ≅  <VXW

LJ  ≅   VW

XW  ≅   XJ

Step-by-step explanation:

From the image provided and the fact that the triangles LJX and VWX are congruent, we can say:

<XWV  ≅  <XJL

<LXJ  ≅  <VXW

LJ  ≅   VW

XW  ≅   XJ

Answer:

1) 1/2

2)7/10

3)11/12

4)4/96

5)43/30

6)5/40

I will do one only. You gotta do your own homework.

Answer:

Sawyer has to pay $10 each week to pay his mom back

Step-by-step explanation:

Sawyer got a gift card that he wants to use to purchase a video game that costs $60, but he can only cover 50% of it, that is, $30.

The remaining $30 will be covered by his mom, given he pays the money back in three weeks.

If he pays the same amount each week, then each week he should pay $30 / 3 = $10

Sawyer has to pay $10 each week to pay his mom back