The length of a rectangle is six times its width.
If the perimeter of the rectangle is 70 cm, find its length and width.

Answer:

Y=3x+3

Step-by-step explanation:

Gradient = :[tex]\frac{y2-y1}{x2-x1}[/tex] = :[tex]\frac{3-15}{0-4}[/tex] = :[tex]\frac{-12}{-4}[/tex] = 3

Y= mx + c

y = 3x + c

Insert x and y values for first point(4,15)

15 = 3 (4) + c

15 = 12 + c

3 = c

Y=3x +3

Answer:

The equation of the line is y=3x+3

Step-by-step explanation:

y=mx+b is the y intercept form of the equation of this line.

m=slope, and we find the slope by the equation m=y2-y1/x2-x1. Plugging our number into that formula, we get m=3 - 15/ 0 - 4, or -12/-4, which simplifies to 3.

Now we can add our slope into the formula.

y=3x+b

Next, we solve for the y intercept, or b. You can use whatever point to get the answer, but I will use 4 ,15).

y=mx+b is the equation, or substituting the numbers, gets you 15=3×4+b. now solve for b: b=15-(3)(4). b=3.

now, with slope and y intercept plugged in, the final equation is. y=3x+3

Answer:

45cm^2

Step-by-step explanation:

3x5x2=30

5x3=15

15+30=45

Answer:

C.17 years old

Step-by-step explanation:

consecutive means that they come after each other

17+16+15=48

Answer:

[tex]h=6[/tex]

[tex]k=2.5[/tex]

[tex]m=\sqrt{21}[/tex]

[tex]n=3\sqrt{10}[/tex]

[tex]p=\sqrt{17}[/tex]

Step-by-step explanation:

We can use the Pythagorean Theorem in each case.

Pythagorean Theorem:

[tex]a^{2} +b^{2} =c^{2}[/tex]

Where [tex]a[/tex] and [tex]b[/tex] are two sides of a right-angle triangle and [tex]c[/tex] is Hypotenuse (the longest side opposite to the right angle)

For [tex]h[/tex]:

[tex]h^{2} +8^{2} =10^{2}[/tex]

[tex]h^{2} +64=100[/tex]

Subtract 64 from both sides:

[tex]h^{2} =100-64[/tex]

[tex]h^{2} =36\\[/tex]

[tex]h=\sqrt{36}[/tex]

[tex]h=6[/tex]

We follow the same process to find  [tex]k,m,n[/tex] and [tex]p[/tex].

Answer:

Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes. This idea generalizes further for more dice. If we roll n dice then there are 6n outcomes.

We can also consider the possible sums from rolling several dice. The smallest possible sum occurs when all of the dice are the smallest, or one each. This gives a sum of three when we are rolling three dice. The greatest number on a die is six, which means that the greatest possible sum occurs when all three dice are sixes. The sum of this situation is 18.

When n dice are rolled, the least possible sum is n and the greatest possible sum is 6n.

There is one possible way three dice can total 3

3 ways for 4

6 for 5

10 for 6

15 for 7

21 for 8

25 for 9

27 for 10

27 for 11

25 for 12

21 for 13

15 for 14

10 for 15

6 for 16

3 for 17

1 for 18

Answer:The answer is x > -1

Step-by-step explanation:

Answer:

this is a function

Step-by-step explanation:

Answer:

y = 2x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c is the partial equation

To find c substitute (7, 2 ) into the partial equation

2 = 14 + c ⇒ c = 2 - 14 = - 12

y = 2x - 12 ← equation of line

Answer: 2

Step-by-step explanation: Thank you

Answer:

The answer is 2

Answer:

right

Step-by-step explanation:

two transverse lines make a right angle ... no triangle gas 2 right angles

626828282828288w8282

Answer:

y = - [tex]\frac{3}{5}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

[tex]\frac{5}{3}[/tex] y = - (x - 5) ← distribute parenthesis

[tex]\frac{5}{3}[/tex] y = - x + 5 ( multiply through by 3 to clear the fraction )

5y = - 3x + 15 ( divide terms by 5 )

y = - [tex]\frac{3}{5}[/tex] x + 3 ← in slope- intercept form

Answer:

you need a protractor to measure it. They have made a picture of that too.

Step-by-step explanation:

you need a protractor to measure it. They have made a picture of that too.

Answer:

The number of slices of salami and the number of calories are not proportional. Step-by-step explanation: we know that. A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or . In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Step-by-step explanation:

Answer:

(-6, 13) (-5, 12) (-4, 11) (-3, 10) (-2, 9) (-1, 8) (0, 7) (1, 6) (2, 5) (3, 4) (4, 3) (5, 2) (6, 1) (7, 0)

Answer:

Step-by-step explanation:

first open the bracket

3x-12-2x=6

collect like terms

3x-2x-12=6

x-12=6

x=12+6

x=18

This is your answer

Answer:

[tex]{ \tt{6 < x - 2 < 14}} \\ \\ { \tt{(6 + 2) < x < (14 + 2)}} \\ \\ \dashrightarrow \: { \tt{8 < x < 16}}[/tex]

Answer:

x=-58/15

Step-by-step explanation:

distribute first 10-2.5x+12=21-10x-28

Simplify(add the numbers) 22-2.5x=-7-10x

move the variable to the left side 22-2.5x+10x=-7

move the constant to the right side -2.5x+10x=-7-22

simplify like terms 7.5x=-29

divide by 7.5                       x=-58/15

alternate forms are x=-3 13/15                or  x=-3.86

Answer:

6

Step-by-step explanation:

2 1/2 + 3 1/2

= (2 + 3) + (1/2 + 1/2)

= 5 + 1

= 6

Answer:

m<v= 60 degrees

m<x= 100 degrees

Step-by-step explanation:

1) First let's find the measure of angle v. Most of the time if none of the angles are known then it is impossible to find others. However, this specific triangle is an equilateral, which has special rules. We know this is an equilateral because all the sides have the same length. Equilaterals will always have angles with measures of 60 degrees. This is due to the fact that sides and angles are proportionate. Therefore, if all the sides are the same, then the angles must be as well and 180 divided by 3 is 60.

2) Then, we can find the next measurement. This triangle is isosceles. Isosceles triangles have 2 equal sides and angles. The triangle represented above has 2 congruent sides; therefore, the base triangles must also be congruent. So we know that angles Y and W are 40. To find angle X make the expression 180-(40+40). This means that angle x must be 100 degrees.  

Answer:

x = 5/3

Step-by-step explanation:

Solve for x:

3 x + 5 = 10

Subtract 5 from both sides:

3 x + (5 - 5) = 10 - 5

5 - 5 = 0:

3 x = 10 - 5

10 - 5 = 5:

3 x = 5

Divide both sides of 3 x = 5 by 3:

(3 x)/3 = 5/3

3/3 = 1:

Answer:  x = 5/3

Step-by-step explanation:

To solve for x, make it the subject of the equation and simplify:

3x + 5 = 10      [subtract five from both sides]

     3x = 5        [divide both sides by three]

       x = ⁵/₃

Answer:

y = 2/3x -6

Step-by-step explanation:

slope intercept form is y = mx + b ( m is slope)

Answer:

$10.54

Step-by-step explanation:

42.24 divided by 4

Answer:

Therefore, the exact value of cos 30 degrees is written as 0.8660 approx. √3/2 is the value of Cos 30° which is a trigonometric ratio or trigonometric function of a particular angle

Answer:

f(- 4) = 13

Step-by-step explanation:

We require to find the value of t which makes f(t) = 13

Equating the right sides gives

- 2t + 5 = 13 ( subtract 5 from both sides )

- 2t = 8 ( divide both sides by - 2 )

t = - 4

Then

(f(- 4) = 13

Answer:

I think its 10 and ethier 11 or 12

Answer:

Sarah's reasoning sounds good to start. She rounded the available bags and their content, so the result, 4000 bracelets, should be really easy to reach.

The exact numbers are 214 bags * 22 bracelets / bag = 4708 bracelets; so as you see, Sarah took care of having room to loose some beads and yet the beads will be enough to make 4000 bracelets.

Of course, if you want to be sure, you should ask Sarah some questions. For example:

1) What proportion of beads are normally deffective?

2) What proportion of beads are normally lost when crafting?

So, if Sarah did not take into account those proportions she migth be overestimating the number of bracelets they can make.

Sarah's assumptions of having enough beads for at least 4000 bracelets is correct.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Sarah who has 214 bag of beads each bag has enough beads for 22 bracelets

According to Sarah, there are enough beads for at least 4000 bracelets.

Mathematically -

x[e] ≥ 4000

Actual number of beads she could make = 22 x 214 = 4708 = x[a]

Since, x[a] > x[e], we can say that Sarah's assumptions are correct.

Therefore, we can say that Sarah's assumptions are correct.

To solve more questions on equation modelling, visit the link below-

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