Mr. Davis hired a painter. He can spend no more than $500 to have his house painted. If the painter charges $20 per hour, for how many hours can Mr. Davis hire the painter?

Variable:
inequality:
solution:

Answer:

Solution given:

x(w – 1) + (W – 1)

distribute it:

xw-x+w-1

xw+w-x-1

take common from each term

w(x+1)-1(x+1)

take common again

(x+1)(w-1)

the factored form of x(w – 1) + (W – 1) is (x+1)(w-1).

Answer:

$6.75 each

Step-by-step explanation:

141.75 decided by the 21 calculators gets a grand total of $6.75 each

Answer:

David's height is 57 inches.

Step-by-step explanation:

x/11=55

x=605

x/10=54.8

x=548

605-548=57

Answer:

57 inches

Step-by-step explanation:

undo the problem

55 x 11 = 605

54.4 x 10 = 548

605 - 548 = 57

hope I helped :)

Answer:

x^2+6x+9

Step-by-step explanation:

expand the expression

Answer: 21.5cm³

Step-by-step explanation: This is your answer there is no way it is incorrect

Answer:

213,987.7 ft2  

Step-by-step ex planation:

Answer:

$50,000

Step-by-step explanation:

We have an average of 10 livestock units per hectare

The number of units in 250 hectares will be;

250 * 10 = 2,500 units

Amount earned per unit is $20 per year

So, for 2,500 units, we have

2500 * $20 = $50,000

Answer:

A. 5.25

Step-by-step explanation:

4.5 + 6 = 10.5

15.75 - 10.5 = 5.25

4.5 + 6 + 5.25 = 15.75

Answer:

a) two hundred and two hundredths

b) one thousand six hundred twenty five millionths

Answer:

A. two hundred and two hundredths

B.  one thousand six hundred and twenty five millionths

Step-by-step explanation:

hope this helps!

Answer:

115 degrees

Step-by-step explanation:

because a line is 180 degrees so you take 65 from 180 which gives you 115, and we know that thats the x on the top because the bottom line (which has 65 degrees) are the same with the top line (the one with the missing x) since the transversal line is evenly cut thru

hope i helped

Answer:

7

Step-by-step explanation:

The square root of 49 is 7

Answer:

1.75 hours :)

Step-by-step explanation:

Answer:

the radius of the sphere is 12 cm.

Step-by-step explanation:

IN A CONE

vertical height (h) = 27 cm

radius (r) = 32 / 2 = 16 cm

Now the volume of cone is

= 1/3 *h*π*r²

= 1/3 * 27 *π *16²

= 2304π cm³

Also by the question the cone and the sphere have equal volumes so

volume of sphere = volume of cone

                             = 2304 π cm³

OR, 4/3 πr³ = 2304 π

4/3 * r³ = 2304

r³ = 2304 * 3 / 4

r³ = 1728

r = ∛1728

r = 12 cm

hope it helps :)

Answer:

it means "plus or minus"

Step-by-step explanation:

hope tht helped

So supplementary angles are ones that add up to 180degrees and complementary ones add up to 90degrees.

So for the left side, you find what angle is supplementary to the given one. For the angle of 35, another angle of 145 will add up to 180.

The right side want you to find the complementary angles, so for the angle of 18, another angle of 72 will add up to 90.

I always forget supplementary vs complementary, but a little bit of practice will help a lot.

Answer:

4

7

4 or 2.5

Step-by-step explanation:

x+2x=3x

12/3=4=x

13+1=14

14/2=7=y

13+/-3=16/10

16/4=4

10/4= 2.5

this one depends wether 3 is negative or positive

Step-by-step explanation:

Okay, the first step is to rewrite this equation in "vertex form." You can search that up but it's basically just (h/k).

y = ( x − 1) 2 + 3

Now, we are going to use the vertex form, "y = a (x - h)2 + k, to get the values of a, h, and k.

By using the form we get 1 for the value a, 1 for the value h, and 3 for the value k.

1 = a

1 = h

3 = k

Becuse the value of a is positive, the parabola opens up!  (A parabola is the U shaped line in a graph, so that opens up.)

Now, we find the vertex (h,k)

which is (1,3)

Now we find the p from the vertex to the focus.  (vertext the top, focus one of the points.)

Follow this formula to find the distance from the vertex to a focus by using this formula

1/4a.

Now we just gonna substitue 1 for a, since we know that 1 equals a above ^

1/4 * 1

Solving that, we got a nice little 1/4.

Next we find the focus

"Find the focus.

The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.

(h,k+p)

Substitute the known values of h, p, and k into the formula and simplify.

(1,134)

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x=1

Find the directrix.

y=114

Use the properties of the parabola to analyze and graph the parabola.

Direction: Opens Up

Vertex: (1,3)

Focus: (1,134)

Axis of Symmetry: x=1

Directrix: y=114

Select a few x values, and plug them into the equation to find the corresponding y values. The x values should be selected around the vertex.

xy−1704132437

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex: (1,3)

Focus: (1,134)

Axis of Symmetry: x=1

Directrix: y=114

xy−17041324"

(Sorry if this is long! But I hope you understand it better now! Thanks for the points!)

Step-by-step explanation:

I think the choose 3 (g , h ,f )

Answer:

;;[p;.[p;l][pl];[p];[p';uijuyuhyghgghghghgghhghghghjhjgijk7yuyhfjtygujtyujytujyujgfgg

Step-by-step explanation:

Answer:

D because mean is the subtraction of the biggest number and the smallest. so 17-8=9

Answer:

I think it's D

I don't know tho

Answer:

Step-by-step explanation:

Answer:

56.73 ft

Step-by-step explanation:

Given:

51° (angle)

73ft (hypotenuse)

With the given information use sin to determine the height of the kite.

sin51° = x/73

solve for x (height)

x= 73*sin51°

x= 56.73ft

Answer:

The one in the bottom right.

Step-by-step explanation:

Answer:

x=15°

Step-by-step explanation:

We can see angle 6x-5 has a corresponding angle above it, which is congruent to it. That angle is supplementary with angle 7x-10. We can tell because it forms a straight angle with it. Supplementary angles add to 180°.

(7x-10)+(6x-5)=180

7x-10+6x-5=180

13x-15=180

13x=195

x=15

Answer:

Solution given:

let the two bags of pickle & chips and be x and y.

according to the question

x+2y=$3.25

again

3x+4y=$7.25 is a second equation.

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Explanation:

There are 30 days in April. Since it rained 9 of those days, the empirical probability of it raining in April is 9/30 = (3*3)/(3*10) = 3/10.

If we assume that the same conditions (ie weather patterns) hold for May, then the empirical probability of it raining in May is also 3/10. By "raining in May", I mean specifically raining on a certain day of that month.

The empirical probability of it not raining on the first of May is therefore...

1 - (probability it rains)

1 - (3/10)

(10/10) - (3/10)

(10-3)/10

7/10

We can think of it like if we had a 10 day period, and 3 of those days it rains while the remaining 7 it does not rain.

Answer:

f(-2) = 90

Step-by-step explanation:

Plugging in the value of f(x) into the equation:

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

f(-2) = 5(-2)(-9)  - evaluate the power first

f(-2) = 90          - multiply from left to right to obtain answer

Answer:

Hello! answer: 105.5

Hope that helps!

75 + 18 + 12.5 = 105.5

Answer:

C) 25.13

Step-by-step explanation:

The formula for circumference is 2(pi)r.

In order to find r, or the radius, we can divide the diameter by 2.

d/2=r

8/2=4

r=4

Plug the radius into the formula

2(pi)4

And finally, plug it into your calculator.

2(pi)4 = ~25.13