Jarred drew the model below of his backyard. The perimeter of the backyard is 40 feet, and the backyard is 8 feet wide. How many feet long are all the sides of his backyard?

Answer:

x = 2

y = 5

Step-by-step explanation:

We can say:

7 corresponds to y

(3 + 7.5) corresponds to 7.5

Plus, we can write a ratio

[tex] \frac{7}{y} = \frac{3 + 7.5}{7.5} [/tex]

[tex] \frac{7}{y} = \frac{10.5}{7.5} [/tex]

Cross multiplying, we can solve for "y",

[tex] \frac{7}{y} = \frac{10.5}{7.5} [/tex]

[tex] \frac{7}{y} = 7 \times 7.5[/tex]

y = 5

Again, using similarly, we can say:

(x + 5) corresponds to 5

(3 + 7.5 = 10.5) corresponds to 7.5

We can write a ratio:

[tex] \frac{x + 5}{5} = \frac{10.5}{7.5} [/tex]

Cross multiplying and with the help of a but algebra, we can solve for "x", shown below:

7.5( x + 5) = 5 x 10.5

7.5x + 37.5 = 52.5

7.5x = 15

x = 2

Answer:

720.8

Step-by-step explanation:

(2.6 × 106) + (4.2 × 106)

275.6 + 445.2

720.8

Answer:

23/6

Step-by-step explanation:

3 5/6  multiply 6 times 3 then add 5 which is 23 then take six and is the denominator and 23 is the numerator

Answer:

Step-by-step explanation:

21ax + 10by - 35ay - 6bx

21ax - 35ay - 6bx + 10by

7a ( 3x - 5y ) - 2b ( 3x - 5y )

( 7a - 2b ) ( 3x - 5y )

Step-by-step explanation:

The answer is 254.57142857

Answer:

Answer A

as taught to us till now

Answer:

234 mm²

Step-by-step explanation:

area of each side = L x W

(15 x 3 x 2) + (15 x 4 x 2) +(3 x 4 x 2) = 234 mm²

Answer:

822

rhdjd dbd fn f f fnf f g g

Answer:

The sum of the squares of the two sides equals the square of the hypotenuse (a² + b² = c²).

Let's say you have a triangle with a 90º angle (also known as a right angle). The two equal legs are a and b while the hypotenuse is the longer side. Hypotenuse is and always will be c.

Here's a problem:

c ⊿ a (12)

  b (6)

C is missing, we have to find C, so here's what we do:

Step 1: You square all the numbers in the equation

12² + 6² = c²

↓

144 + 36 = c

Step 2: You add 144 + 36 and you get 180

Step 3: Then you find the square root >>  [tex]\sqrt{180\\[/tex] and you get ≈13.4

Now sometimes, the a or b would be missing, for example:

c (13)⊿ a

     b (5)

A is missing (when a or b is missing, use the following formula, do not use the same formula when c is missing)

Step 1: You square all the numbers in the equation

a² + 5² = 13²

a + 25 = 169

For this next part, you must subtract a or b (in this case, b) on both sides, for example:

25 – 25 = 169 - 25

25 – 25 cancels itself out so now we subtract 169 by 25 and we get 144.

Then we find the square root of 144 and we get 12

I hope this helps :)

Answer:

15

Step-by-step explanation:

$100 / 10 pounds = $10 / pound

$150 / 10 dollars  = 15 pounds of onions

Answer:

x = 12

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle.

Then the product of the external part of the secant and the entire secant is equal to the square of the measure of the tangent, that is

3x = 6² = 36 ( divide both sides by 3 )

x = 12

Answer:

b

Step-by-step explanation:

Answer:

6/10 kg

Step-by-step explanation:

Ed bought 4 pieces of salmon weighing a total of 2 kilograms. One piece weighed 4/10 kg, and two of the pieces weighed 5/10 kg each. What was the weight of the fourth piece of salmon? Explained

Hence:

Total kg of salmon = 4/10 + 5/10 + 5/10 + fourth piece

Total kg = 2 kg

Hence,

Fourth piece = 2 kg - ( 4/10 + 5/10 + 5/10) kg

Lowest common denominator = 10

2 kg - (4 + 5 + 5/10)

2kg - (14/10)kg

2 kg - 1 4/10 kg

= 6/10 kg

The weight of the fourth piece =

6/10 kg

Answer:

the correct answer is 4(10 -b)

Answer:

I think they are all greater than 4.

Step-by-step explanation:

1.67 + 3. 456 = 5.126

2.97 + 1.0678 = 4.0378

4.12 - 0.05 =4.07

5.5503 - 1.52=4.0303

Answer:

No

Step-by-step explanation:

The smaller amounts (11 and 12) have to add to be equal to or greater than the larger amount (17).

Hope it helps!

Answer:

No

Step-by-step explanation:

Because the formula for finding the hypotenuse of a triangle is a^2+b^2=c2.

so it will be 11^2 + 12^2 = c^2

Answer:

MN

Step-by-step explanation:

ML:RQ = MN:RS = LN:QS (corr side, similar triangles)

Answer:

DONT GO TO THE LINK

Step-by-step explanation:

I can't see pictures, so I'll do my best.

y= always stays the same.

To find the slope, or x, you have to start at the y-intercept, and find the number of units up, then right.

For example, y=4/3+6

4/3 is the slope because it goes up 4 units and right 3 units from the y-intercept.

6 is the y-intercept, which is the y-coordinate. It can also be graphed as (0,6).

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hope it helps

Answer:

(x-11)^2 + (y-6)^2= 6^2

Step-by-step explanation:

Answer:

(x - 11)² + (y - 6)² = 36

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (11, 6 ) and r = 6, then

(x - 11)² + (y - 6)² = 6² , that is

(x - 11)² + (y - 6)² = 36

You can download answer here

tinyurl.com/wpazsebu

Answer:

B

Step-by-step explanation:

Assuming that he doesn't buy any upgrades it will take 280/35 = 8 months to save enough money to buy the ring. Taking the possibility that he may buy an upgrade too we can say that it will take 8 months or more to buy the ring.

Answer:

Equation for x:    3x - 6 = [tex]\frac{2x - 1 + 25}{2}[/tex]

x = 9

CD = 17

GH = 21

Step-by-step explanation:

The midsegment formula for a trapezoid is

GH = [tex]\frac{CD + FE}{2}[/tex]

3x - 6 = [tex]\frac{2x - 1 + 25}{2}[/tex]

6x - 12 = 2x + 24

4x = 36

x = 9

CD = 2x - 1 = 2(9) - 1 = 18 - 1 = 17

GH = 3x - 6 = 3(9) - 6 = 3 = 27 - 6 = 21

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

No it is Not Equivalent

Step-by-step explanation:

5x and x + 5 are NOT equivalent because 5x would be 5 times x or 5(x) but for x + 5 it is just 5 + x they will not be the same value either.

Answer:

A

Step-by-step explanation:

a)

[tex](8(3)^{2} / 9) * 7[/tex]

8(9) / 9 = 8 x 7 = 56

b)

[tex]2(3)^{2} * 3 - 4(3)[/tex]

2(9) * 3 - 12

18 * 3 = 54 - 12 = 42

c)

[tex]4(3)^{2} - 6(3) + 12[/tex]

4(9) - 18 + 12

36 - 18 = 18 + 12 = 30

d)

[tex]7(3) + (3 * 8)[/tex]

21 + 24 = 45

Answer:

- x+2y= - 4

2y= - x - 4

Y=x-4/2

Y=x-2

Now, 2nd equation

4x+3y=5

4x+3.x-2=5

4x+3x-2=5

7x-2=5

7x=5+2

x=5+2/7

x=7/7

x=1

Now, continue with 1st equation

y=x-2

y=1-2

y=1

Therefore x=1

And

y=1

Answer:

x = 31.11

Step-by-step explanation:

Let us assume the third person receives be  x

Now the second person receives be 2x

And, the second  be 3(2x) = 6x

The total is 280

Now the equation is

x + 2x + 6x = 280

9x = 280

x = 31.11