(5 Neighbors) x (($1.00 Box) + (? Plant) + ($3.00 Gloves)) = 42.50

5 x (1 + x + 3) = 42.50

Combine in parens.

5 x (4 + x) = 42.50

Distribute.

20 + 5x = 42.50

Subtract 20 from both sides.

5x = 22.50

Divide both sides by 5.

x = 4.50

Thats the cost of each plant.

Check.

5 x (1 + 4.50 + 3)

5 x 8.50 = 42.50

3 0

3 years ago

The ratio of papayas to mangoes is 3:4 and the ratio of papaya to apple is 5:2. If there are 27 pieces of apple, hoe many mangoe

bija089 [108]

I m not sure of the answer but this is my best try

Papaya: Mango = 3:4
Papaya: Apple = 5:2
Lets take no of papaya as x

So, 5/2 = x/27
By cross- multiplication, x= 27*5/2
x= 67.5

Total number of papayas = 67.5
Lets take number of mangoes as y

So, 3/4 = 67.5/y
By cross multiplication, y= 90

Therefore, total number of mangoes are 90 mangoes.

7 0

4 years ago

Read 2 more answers

Prove that if one solution for a quadratic equation of theform x2 + bx + c = 0 is rational (where b and c are rational),then the

Elenna [48]

Answer:

The other solution of the given equation x² + bx + c = 0 is also rational number.

Step-by-step explanation:

Here, given: ax² + bx + c = 0 is a quadratic equation

Also, one solution (r) of equation is RATIONAL.

To show: The other solution (s) is also RATIONAL

Now, here: as x² + bx + c = 0

Since r and s are the two given solutions, the given equation can be factorized as:

x² + bx + c = (x -r) (x - s)

Simplifying LHS, we get:

(x -r) (x - s) = x x - r (x) - s (x) + (r)(s)

= x² + x(-r - s) + rs

or, x² + bx + c = x² + x(-r - s) + rs

Comparing the related terms, we get:

b = (-r - s)

⇒ b + s = - r

or, s = -r - b

Now, given : r = Rational and the negative of a rational is also rational.

⇒ -r is also rational

Also, difference of two rational number is also rational.

⇒ -r - b is also rational

⇒ s is a RATIONAL NUMBER

Hence, the other solution of the given equation x² + bx + c = 0 is also rational number.

7 0

4 years ago