Why does the prove statement appear at the beginning of the proof?

Answer:

360+12x=279+15x

The two costs would be the same when both companies charge 27 hours.

Step-by-step explanation:

From the information given, you need to find the number of hours where both companies charge the same and to do that, you can write an equation where Home Improvement cost is equal to Ace Hardware cost:

360+12x=279+15x, where x is the number of hours

Now, you can solve for x:

360-279=15x-12x

81=3x

x=81/3

x=27

According to this, the answer is that the two costs would be the same when both companies charge 27 hours.

Answer:

Step-by-step explanation:

14y

3

(∣x∣)

3y

5

Answer:

it is 36°

Step-by-step explanation:

180-117 =63

180-(117+63)=36

Answer:

one solution

Step-by-step explanation:

3r - 5 = 2r

=> 3r - 2r = 5

<=> r = 5

Answer:

One solution

Step-by-step explanation:

3r - 5 = 2r

-5 = 2r - 3r

-5 = -r

5 = r

Answer:

She uses 220 pounds of cheese and lettuce.

2000/10 = 200 + 2000/100 = 20

            200 + 20 = 220              

         just ask me in the comments if you need a better explanation

Answer:

The plant root grows 3.81 centimeters per month.

Step-by-step explanation:

From Physics, we remember that an inch equals 2.54 centimeters. Given that a particular plant root grows 1.5 inches per month, we proceed to make a quick conversion to calculate its value in centimeters per month:

[tex]x = 1.5\,\frac{in}{mo}\times \frac{2.54\,cm}{1\,in}[/tex]

[tex]x = 3.81\,\frac{cm}{mo}[/tex]

The plant root grows 3.81 centimeters per month.

Answer: Number of small boxes = 7, Number of large boxes =3

Step-by-step explanation:

Let x= Number of small boxes , y = Number of large boxes.

As per given , 30x+55y=375  (i)

x+y=10   (ii)

Multiply (ii) by 30, we get

30x+30y=300    (iii)

Eliminate (iii) from (i), we get

25y=75

⇒ y= 3   [Divide both sides by 25]

Put y=3 in (ii), we get

x+3=10 ⇒ x=7

Hence,  Number of small boxes = 7, Number of large boxes =3

Answer:

△QDJ≅△MCW

Hope this helps

Answer:

MCW

Step-by-step explanation:

Answer:

Divide each term by

2

and simplify.

x

=

10

Step-by-step explanation:

hope this helps

Answer:

x = 6.

Step-by-step explanation:

JK = JG + GK = 6 + 4 = 10

Scalar factor(k) = JK/JG

k = 10/4 = 5/2

Scalar factor (k) = JL/GH

5/2 = x/15

5 × x = 2× 15

5x = 30

hence x = 6

Answer:

Step-by-step explanation:

52/4=13

13+13+13=39

13/52=.25

.25*10=25%

Answer:

[tex]Probability = \frac{1}{18}[/tex]

Step-by-step explanation:

Given

[tex]Dice = 2[/tex]

Required

Probability of getting sum of 11

First, we need to list out the sample space;

Represent the first dice with S1 and the second with S2

[tex]S_1 = \{1,2,3,4,5,6\}[/tex]

[tex]S_2 = \{1,2,3,4,5,6\}[/tex]

Represent the Sum of the outcome with S

So, the new sample space is the sum of outcome of S1 and S2

So, S is as follows:

[tex]S = \{2,3,4,5,6,7,3,4,5,6,7,8,4,5,6,7,8,9,5,6,7,8,9,10,6,7,8,9,10,11,7,8,9,10,11,12\}[/tex]

Represent the number of sample space with n(S)

[tex]n(S) = 36[/tex]

To determine the probability of outcome of 11, we need to list out the number of outcomes of 11.

Represent this with n(11)

From the sample space above,

[tex]n(11) = 2[/tex]

The required probability is then calculated as thus:

[tex]Probability = \frac{n(11)}{n(S)}[/tex]

[tex]Probability = \frac{2}{36}[/tex]

Simplify to the least term

[tex]Probability = \frac{1}{18}[/tex]

Answer:

3

Step-by-step explanation:

Answer:

f(2) =3

Step-by-step explanation:

According to the image :

f(x) .

When x = 0 , f(x) =4

When x = 1 , f(x)= 2

When x =2 , f(x) =3

Vice-versa

Answer:

Daisies flower grows the slowest

Step-by-step explanation:

We are given;

Rate of growth of rose bush; 12 inches in 1 month.

1 month = 4 weeks.

Thus, we have; 12 inches in 4 weeks.

In 1 week, it grows; 12/4 = 3 inches per week

Rate of growth of daisies; 5 inches in 2 weeks. Thus, in 1 week, it grows by; 5/2 = 2.5 inches per week.

Rate of growth of tulips; 8 inches in 3 weeks. In one week, it grows by; 8/3 = 2.67 inches per week

Rate of growth of daffodils; 3 inches in 1 week = 3 inches per week

Looking at all the rates above, the slowest is 2.5 inches per week. This is for daisies.

452.16 cm³ is the volume of a cylinder with the height of 16cm and a base radius of 3 cm

Height of cylinder = 16 cm

Radius of cylinder = 3 cm

Volume of cylinder = πr²h

Volume of cylinder = (3.14)(3)²(16)

Volume of cylinder = (3.14)(9)(16)

Volume of cylinder = 452.16 cm³

Find out more information about 'Cylinder'.

https://brainly.com/question/3216899?referrer=searchResults

Answer:

1 : 2

Step-by-step explanation:

1 2

___ = 1 :2

1 1

The ratio of the jars of sauce to boxes of noodles for this lasagna is 1:2

Answer:

#1-1.25

#2-125

Step-by-step explanation:

s=d/t

s=7.5/6

s=1.25

d=s*t

d=1.25*1

d=1.25

d=s*t

d=1.25*100

d=125

To even check my answer if you do 1.25*6 you get the distance 7.5 that was mentioned in the question.

Hope this helps! :) Plz mark as brainliest

Step-by-step explanation:

in a triangle = 180°

56 + 37 + x = 180

93 + x = 180

x = 180 - 93

x = 87

Answer: how do I say this.....

Step-by-step explanation:

-9

Step-by-step explanation:

[tex]( - 3 \frac{1}{3} ) \times (- 2 \frac{7}{10} ) \\ \\ - \frac{10}{3} \times ( - \frac{27}{10} ) \\ \\ \frac{270}{30 } = 9[/tex]

Answer:

D: x=-3/k

Step-by-step explanation:

kx+7=4 (Subtract 7 from both sides)

kx=-3 (Divide both sides by k)

x=-3/k

Answer:

17

Step-by-step explanation:

a^2+b^=c^c

Answer:

323-21=221 BC OF SUBTRACTION reduces the nuber of 232

Step-by-step explanation:

Answer:

950 divived by 10 gets u 95

Step-by-step explanation:

Answer:

Step-by-step explanation:

Firstly, let us calculate the amount spent

amount spent=30-26.49

amount spent=3.51

the expression for the total amount spent is given as

y=c-mx

let us convert 13cents to dollar= $0.13 extra charge per minute

we can see that x is the number of minutes

therefore

26.49=30-0.13x

26.49-30=-0.13x

-3.51=-0.13x

x=3.51/0.13

x=27 minutes

the last call was 27minutes

Answer:

4.

Independent variable: Number of cans

Dependent variable: Soda

The amount of soda is dependent on the number of cans

y = 12x

5.

Independent variable: Number of biscuits

Dependent variable: Number of tricks

The number of biscuits is dependent on the number of tricks

y = 20 - 3x

Answer:

y = 5x + 1

Step-by-step explanation:

5x - y = 7

y = 5x - 7

Gradient = 5

Gradient of the line passing through point (-2,-9)

= 5

i.e it is parallel to line 5x - y = 7

Equation of the line is given as:

y - (-9) = 5(x - (-2))

y + 9 = 5x +10

y = 5x + 1

y=5x+1

What is slope in straight line?

Generally, the slope of a line gives the measure of its steepness and direction. The slope of a straight line between two points says (x1,y1) and (x2,y2) can be easily determined by finding the difference between the coordinates of the points. The slope is usually represented by the letter 'm'.

y-y1=m(x-x1)

mm1=-1

Given line,

5x-y=7

y=5x-7

slope, m=5

Since, the new line that passes through the point (-2,-9) is parallel to the line 5x-y=7, the slope of the new line will be the same.

Therefore, slope of the new line will be = 5

Now, equation of line is

y-y1=m(x-x1)

Putting the values,

y-(-9)=5(x-(-2))

y+9=5(x+2)

y+9=5x+10

y=5x+1

therefore, our line equation is y=5x+1

Read more about  slope in straight line at:

https://brainly.com/question/14511992

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Answer:

I think it might be a constant

Answer:

That is very easy it is 60

Step-by-step explanation:

Answer:

Step-by-step explanation:

3h=180

/3 /3

h=60hours