A rectangle has a length of 72 cm and a width of 56 cm. The other rectangle has the same area as this one, but its width is 21cm. Find the constant of the variation.

Answer:

1:4 and 6:24

Step-by-step explanation:

Answer:

1:4 and 16:18 or 3:1

Step-by-step explanation:

1:4 because 1 x 3=3 and 3 x 4=12,

3 x 1=3 and 1 x 12=12,

4 x 4=16

6 x 3= 18

Answer:

y = 10x - 46

Step-by-step explanation:

slope intercept form: y = mx + b

m is slope and b is y-intercept

given: y - 4 = 10(x-5)

1. distibute 10

y - 4 = 10x - 50

2. we need to get y by itself so bring -4 to other side

y = 10x - 50 + 4

y = 10x - 46

slope-intercept form is [tex]y=mx+b[/tex]

[tex]y=10(x-5)+4[/tex]          ↣ We move -4 to another side and become positive number.

[tex]y=(10x-50)+4[/tex]             ↣ Distribute 10 inside the brackets.

[tex]y=10x-50+4\\y=10x-46[/tex]            ↣ Then we get the slope-intercept form.

Thus, the answer is [tex]y=10x-46[/tex]

Answer:

Mr. Grouper can invite 528 people to his sons graduation party.

Step-by-step explanation:

x= number of people

3.50x +150 =2000

-150

3.50x = 1850

1850/ 3.50

528.571428571  = 528

Mr. Grouper can invite around a total of 528 people to attend for the graduation party of his son.

Equation is a statement including expressions on two sides related by an '=' sign. This may or may not include two or more variables and can be solved using various methods.

Total budget for the graduation party = $2000

Cost to rent the venue = $150

Cost of gift for each guest = $3.50

Let n be the number of guests invited for the party.

Then 3.50n will be the total cost for the guests.

Then we have the linear equation,

150 + 3.50 n = 2000

Solving this will get the number of guests, n.

3.50n = 2000 - 150

3.50n = 1850

n = 1850 / 3.50

n = 528.57 ≈ 528

Hence Mr. Grouper can invite almost 528 people to his son's graduation party.

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Answer:

C

Step-by-step explanation:

Answer:

The Triangles are proportional

Step-by-step explanation:

This is because the difference in each triangle is that each one is adding one inch to each side

pls put me as brainiest

Answer:

c

Step-by-step explanation:

I just guessed, it makes sense

Answer:

48 inches

Step-by-step explanation:

144/3 is 48, the other two 3rds are the other piece

Answer:

ADOM IS THE ANSWER OF THIS QUESTIONS

Answer:

use 2 variable for the problem. say pear=x apple=y.

3x+4y=1.6

Step-by-step explanation:

yx^12

Step-by-step explanation:

technically it's yx with an exponent that's 12

p = -2

I did the work :)

Answer:

.592 the full thing is .592797783934

Step-by-step explanation:

calculator

Answer:

9.5m

Step-by-step explanation:

646÷ 68 = 9.5 m

area ÷ height = base of triangle

Answer:

1/6  (16.667%)

Step-by-step explanation:

Given:

The given figure is dilated by a scale factor 1.5.

To find:

The coordinates of B' and C'.

Solution:

If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is

[tex](x,y)\to (k(x-a)+a,k(x-b)+b)[/tex]

From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).

The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is

[tex](x,y)\to (1.5(x-3)+3,1.5(x-(-3))+(-3))[/tex]

[tex](x,y)\to (1.5(x-3)+3,1.5(x+3)+(-3))[/tex]

[tex](x,y)\to (1.5(x)-4.5+3,1.5(x)+4.5-3)[/tex]

[tex](x,y)\to (1.5x-1.5,1.5x+1.5)[/tex]

Using this rule, we get

[tex]B(-2,2)\to B'(1.5(-2)-1.5,1.5(2)+1.5)[/tex]

[tex]B(-2,2)\to B'(-3-1.5,3+1.5)[/tex]

[tex]B(-2,2)\to B'(-4.5,4.5)[/tex]

And

[tex]C(-3,-5)\to C'(1.5(-3)-1.5,1.5(-5)+1.5)[/tex]

[tex]C(-2,2)\to C'(-4.5-1.5,-7.5+1.5)[/tex]

[tex]C(-2,2)\to C'(-6,-6)[/tex]

Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).

There are 160 possibilities for area codes

We are required to find all the combinations for different area codes

It is given to us that the conditions for the tree digit area code are:

first digit could be any number from 4 through​ 8,

the second digit was either 4 5 6 or 7, and the third digit could be any number except 2 or 7

Using the conditions above, the digits which can be first digit of code = 4 through 8 =4,5,6,7,8

the digits which can be second digit of code= 4,5,6,7

the digits which can be third digit of code = 0,1,3,4,5,6,8,9

number of possibilities for first digit= 5

number of possibilities for second digit=4

number of possibilities for third digit= 8

Therefore, total number of possibilities of code   = number of possibilities of first digit x number of possibilities of second digit x number of possibilities of third digit = 5 x 4 x 8=160

Therefore, there are 160 possibilities for area codes

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He needs 20 minutes to install all of the fence.

Since we have given that

Dimensions of triangle he has to use for fencing are

15 feet, 8 feet, and 20 feet.

1) For making it a right triangle it must satisfy the "Pythagorus theorem" which states that

H²= B²+P²

⇒ 20²= 15²+8²

⇒ 400 ≠ 225+64

⇒ 400≠ 289

No, it will not be able to make a right triangle.

2) Joel cut the longest piece of wood in order to make a right triangle.

So, from above we get that

√289= 17 FEET

So, Longest side must be 17 feet.

It is takes him 30 seconds to install each foot of fencing,

Total perimeter of fencing will be

17+15+8=40 feet

So, for 1 foot he needs = 30 seconds

For 40 feet , he will need

40×30=1200 seconds

1200/60

= 20 MINUTES

Hence, he needs 20 minutes to install all of the fence.

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Answer:

9/70

Step-by-step explanation:

Mathematically;

Average rate of change on an interval [a,b] is;

f(b) - f(a)/b-a

f(0) = -3/5

f(3) = -3/14

a = 0

b = 3

Making the substitution, we have

-3/14-(-3/5)/3-0

= 3/5-3/14/3

= (42-15)/70/3

= 27/70/3

= 27/70 * 1/3 = 9/70

[tex]y-2=-\frac{1}{3}(x+6)\\y=-\frac{1}{3}(x+6)+2[/tex]

Simply move -2 to another side.

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

Distribute -1/3 in (x+6)

[tex]y=-\frac{x}{3}[/tex]        ---> Answer

Answer:

x + 3y = 0

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Given

y - 2 = - [tex]\frac{1}{3}[/tex] (x + 6) ← distribute

y - 2 = - [tex]\frac{1}{3}[/tex] x - 2 ( add 2 to both sides )

y  = - [tex]\frac{1}{3}[/tex] x ( multiply through by 3 to clear the fraction )

3y  = -  x ( add x  to both sides )

x + 3y = 0 ← in standard form

Answer:

18

Step-by-step explanation:

|30 - 5| - |-7| = 18

Answer:

Arisa

3 dogs-15 mins

4 dogs-20 mins

Sofia

3 dogs-12 minutes

4 dogs-16 mins

Answer:0.80

Step-by-step explanation: calculator

Answer:

$600

Step-by-step explanation:

1,200 · 0.05 = 60

60 · 10 = 600

Answer:

5:3

Step-by-step explanation:

hope this help brainliest pls

Answer:

the correct amount that Vince have to pay back altogether is $927

Step-by-step explanation:

The computation of the correct amount that Vince have to pay back altogether is as follows:

As we know that

Amount = Principal + Principal × rate of interest × time

= $900 + $900 × 0.015 × 2

= $900 + $27

= $927

Hence, the correct amount that Vince have to pay back altogether is $927

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Answer:

x=0 does not mean no solution

Step-by-step explanation:

so kyra is incorrect